commit 82084d8210bd0e3dda2219fbdee389aef9a03b52 Author: Reidmen Date: Fri Dec 11 16:03:48 2020 +0100 First commit, included main, solvers, and ipynb diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..f0e3716 --- /dev/null +++ b/.gitignore @@ -0,0 +1,41 @@ +# Byte-compiled / optimized / DLL files +__pycache__/ + +# PEP 582; used by e.g. github.com/David-OConnor/pyflow +__pypackages__/ + +# Distribution / packaging +.Python +build/ +develop-eggs/ +dist/ +downloads/ +eggs/ +.eggs/ +lib/ +lib64/ +parts/ +sdist/ +var/ +wheels/ +share/python-wheels/ +*.egg-info/ +.installed.cfg +*.egg +MANIFEST + +# Generated results from FEniCS/Python plots, etc... +*.xdmf +*.h5 +*.pyc +*.png + +# Jupyter checkpoints +#*.ipynb +.ipynb_checkpoints/ + +# Numerical results +tests/ + +# Paraview state files +*.pvsm diff --git a/ALE Testing - Article.ipynb b/ALE Testing - Article.ipynb new file mode 100644 index 0000000..3a73cc8 --- /dev/null +++ b/ALE Testing - Article.ipynb @@ -0,0 +1,12176 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "DOLFIN VERSION: 2019.1.0\n", + "SOLVER VERSION: 0.2\n", + "__author__: Reidmen Arostica\n", + "The solution of the linear system is done with built-in PETS Krylov solver.\n", + "Initializing testing of two deformation cases with input parameters:\n", + " Solver to use -solver_to_use- : LU\n", + " GCL-stabilization term -gcl_stab- : True\n", + " Evaluation of jacobian at n in time-derivate term -jac_at_n- : False\n", + " \n", + "\n", + "Initializing iNSE problem with Deformation type: High_Osc_exp\n", + "\n", + "\n", + "Setup with initial condition: True\n", + "Using a non-zero initial condition (2D-Gaussian) for the velocity field!\n", + "Using time-derivative term approximated with Jacobian at n+1...\n", + "Using LU Solver...\n", + "Starting iteration over time...\n", + "E (Energy) of initial velocity field: 0.01659 at time 0.000\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.010\n", + "J_n integrated over the domain: 12.000 at time: 0.010\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.010\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.010\n", + "Strain energy E( eps(|u|^2) ): 0.00015 at time 0.010\n", + "Residual of scheme -> 'delta' value: 0.00330 at time 0.010\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.020\n", + "J_n integrated over the domain: 14.686 at time: 0.020\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.020\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.020\n", + "Strain energy E( eps(|u|^2) ): 0.00011 at time 0.020\n", + "Residual of scheme -> 'delta' value: 0.00008 at time 0.020\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.030\n", + "J_n integrated over the domain: 17.203 at time: 0.030\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.030\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.030\n", + "Strain energy E( eps(|u|^2) ): 0.00009 at time 0.030\n", + "Residual of scheme -> 'delta' value: 0.00004 at time 0.030\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.040\n", + "J_n integrated over the domain: 19.393 at time: 0.040\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.040\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.040\n", + "Strain energy E( eps(|u|^2) ): 0.00008 at time 0.040\n", + "Residual of scheme -> 'delta' value: 0.00002 at time 0.040\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.050\n", + "J_n integrated over the domain: 21.119 at time: 0.050\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.050\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.050\n", + "Strain energy E( eps(|u|^2) ): 0.00007 at time 0.050\n", + "Residual of scheme -> 'delta' value: 0.00001 at time 0.050\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.060\n", + "J_n integrated over the domain: 22.271 at time: 0.060\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.060\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.060\n", + "Strain energy E( eps(|u|^2) ): 0.00006 at time 0.060\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.060\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.070\n", + "J_n integrated over the domain: 22.779 at time: 0.070\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.070\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.070\n", + "Strain energy E( eps(|u|^2) ): 0.00005 at time 0.070\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.070\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.080\n", + "J_n integrated over the domain: 22.609 at time: 0.080\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.080\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.080\n", + "Strain energy E( eps(|u|^2) ): 0.00005 at time 0.080\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.080\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.090\n", + "J_n integrated over the domain: 21.772 at time: 0.090\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.090\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.090\n", + "Strain energy E( eps(|u|^2) ): 0.00005 at time 0.090\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.090\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.100\n", + "J_n integrated over the domain: 20.322 at time: 0.100\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.100\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.100\n", + "Strain energy E( eps(|u|^2) ): 0.00004 at time 0.100\n", + "Residual of scheme -> 'delta' value: 0.00001 at time 0.100\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.110\n", + "J_n integrated over the domain: 18.348 at time: 0.110\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.110\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.110\n", + "Strain energy E( eps(|u|^2) ): 0.00005 at time 0.110\n", + "Residual of scheme -> 'delta' value: 0.00002 at time 0.110\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.120\n", + "J_n integrated over the domain: 15.976 at time: 0.120\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.120\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.120\n", + "Strain energy E( eps(|u|^2) ): 0.00009 at time 0.120\n", + "Residual of scheme -> 'delta' value: 0.00002 at time 0.120\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.130\n", + "J_n integrated over the domain: 13.354 at time: 0.130\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.130\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.130\n", + "Strain energy E( eps(|u|^2) ): 0.00021 at time 0.130\n", + "Residual of scheme -> 'delta' value: 0.00001 at time 0.130\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.140\n", + "J_n integrated over the domain: 10.646 at time: 0.140\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.140\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.140\n", + "Strain energy E( eps(|u|^2) ): 0.00033 at time 0.140\n", + "Residual of scheme -> 'delta' value: -0.00003 at time 0.140\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.150\n", + "J_n integrated over the domain: 8.024 at time: 0.150\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.150\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.150\n", + "Strain energy E( eps(|u|^2) ): 0.00030 at time 0.150\n", + "Residual of scheme -> 'delta' value: -0.00007 at time 0.150\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.160\n", + "J_n integrated over the domain: 5.652 at time: 0.160\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.160\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.160\n", + "Strain energy E( eps(|u|^2) ): 0.00016 at time 0.160\n", + "Residual of scheme -> 'delta' value: -0.00007 at time 0.160\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.170\n", + "J_n integrated over the domain: 3.678 at time: 0.170\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.170\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.170\n", + "Strain energy E( eps(|u|^2) ): 0.00004 at time 0.170\n", + "Residual of scheme -> 'delta' value: -0.00003 at time 0.170\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.180\n", + "J_n integrated over the domain: 2.228 at time: 0.180\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.180\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.180\n", + "Strain energy E( eps(|u|^2) ): 0.00001 at time 0.180\n", + "Residual of scheme -> 'delta' value: -0.00001 at time 0.180\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.190\n", + "J_n integrated over the domain: 1.391 at time: 0.190\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.190\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.190\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.190\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.190\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.200\n", + "J_n integrated over the domain: 1.221 at time: 0.200\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.200\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.200\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.200\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.200\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.210\n", + "J_n integrated over the domain: 1.729 at time: 0.210\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.210\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.210\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.210\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.210\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.220\n", + "J_n integrated over the domain: 2.881 at time: 0.220\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.220\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.220\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.220\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.220\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 6.797 at time: 0.230\n", + "J_n integrated over the domain: 4.607 at time: 0.230\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.230\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.230\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.230\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.230\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.240\n", + "J_n integrated over the domain: 6.797 at time: 0.240\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.240\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.240\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.240\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.240\n", + "\n", + "J integrated over the domain: 12.000 at time: 0.250\n", + "J_n integrated over the domain: 9.314 at time: 0.250\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.250\n", + "d (def. map) integrated over the domain: 148.000 at time: 0.250\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.250\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.250\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.260\n", + "J_n integrated over the domain: 12.000 at time: 0.260\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.260\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.260\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.260\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.260\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.270\n", + "J_n integrated over the domain: 14.686 at time: 0.270\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.270\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.270\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.270\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.270\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.280\n", + "J_n integrated over the domain: 17.203 at time: 0.280\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.280\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.280\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.280\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.280\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.290\n", + "J_n integrated over the domain: 19.393 at time: 0.290\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.290\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.290\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.290\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.290\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.300\n", + "J_n integrated over the domain: 21.119 at time: 0.300\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.300\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.300\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.300\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.300\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.310\n", + "J_n integrated over the domain: 22.271 at time: 0.310\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.310\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.310\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.310\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.310\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.320\n", + "J_n integrated over the domain: 22.779 at time: 0.320\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.320\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.320\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.320\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.320\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.330\n", + "J_n integrated over the domain: 22.609 at time: 0.330\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.330\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.330\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.330\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.330\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.340\n", + "J_n integrated over the domain: 21.772 at time: 0.340\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.340\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.340\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.340\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.340\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.350\n", + "J_n integrated over the domain: 20.322 at time: 0.350\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.350\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.350\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.350\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.350\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.360\n", + "J_n integrated over the domain: 18.348 at time: 0.360\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.360\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.360\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.360\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.360\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.370\n", + "J_n integrated over the domain: 15.976 at time: 0.370\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.370\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.370\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.370\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.370\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.380\n", + "J_n integrated over the domain: 13.354 at time: 0.380\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.380\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.380\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.380\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.380\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.390\n", + "J_n integrated over the domain: 10.646 at time: 0.390\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.390\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.390\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.390\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.390\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.400\n", + "J_n integrated over the domain: 8.024 at time: 0.400\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.400\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.400\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.400\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.400\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.410\n", + "J_n integrated over the domain: 5.652 at time: 0.410\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.410\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.410\n", + "Strain energy E( 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0.440\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.440\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.440\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.440\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.440\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.450\n", + "J_n integrated over the domain: 1.221 at time: 0.450\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.450\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.450\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.450\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.450\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.460\n", + "J_n integrated over the domain: 1.729 at time: 0.460\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.460\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.460\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.460\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.460\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 4.607 at time: 0.470\n", + "J_n integrated over the domain: 2.881 at time: 0.470\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.470\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.470\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.470\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.470\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.480\n", + "J_n integrated over the domain: 4.607 at time: 0.480\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.480\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.480\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.480\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.480\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.490\n", + "J_n integrated over the domain: 6.797 at time: 0.490\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.490\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.490\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.490\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.490\n", + "\n", + "J integrated over the domain: 12.000 at time: 0.500\n", + "J_n integrated over the domain: 9.314 at time: 0.500\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.500\n", + "d (def. map) integrated over the domain: 148.000 at time: 0.500\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.500\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.500\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.510\n", + "J_n integrated over the domain: 12.000 at time: 0.510\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.510\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.510\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.510\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.510\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.520\n", + "J_n integrated over the domain: 14.686 at time: 0.520\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.520\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.520\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.520\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.520\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.530\n", + "J_n integrated over the domain: 17.203 at time: 0.530\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.530\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.530\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.530\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.530\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.540\n", + "J_n integrated over the domain: 19.393 at time: 0.540\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.540\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.540\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.540\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.540\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.550\n", + "J_n integrated over the domain: 21.119 at time: 0.550\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.550\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.550\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.550\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.550\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.560\n", + "J_n integrated over the domain: 22.271 at time: 0.560\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.560\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.560\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.560\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.560\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.570\n", + "J_n integrated over the domain: 22.779 at time: 0.570\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.570\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.570\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.570\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.570\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.580\n", + "J_n integrated over the domain: 22.609 at time: 0.580\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.580\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.580\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.580\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.580\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.590\n", + "J_n integrated over the domain: 21.772 at time: 0.590\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.590\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.590\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.590\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.590\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.600\n", + "J_n integrated over the domain: 20.322 at time: 0.600\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.600\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.600\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.600\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.600\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.610\n", + "J_n integrated over the domain: 18.348 at time: 0.610\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.610\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.610\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.610\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.610\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.620\n", + "J_n integrated over the domain: 15.976 at time: 0.620\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.620\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.620\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.620\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.620\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.630\n", + "J_n integrated over the domain: 13.354 at time: 0.630\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.630\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.630\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.630\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.630\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.640\n", + "J_n integrated over the domain: 10.646 at time: 0.640\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.640\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.640\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.640\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.640\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.650\n", + "J_n integrated over the domain: 8.024 at time: 0.650\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.650\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.650\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.650\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.650\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.660\n", + "J_n integrated over the domain: 5.652 at time: 0.660\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.660\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.660\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.660\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.660\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.670\n", + "J_n integrated over the domain: 3.678 at time: 0.670\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.670\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.670\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.670\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.670\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.680\n", + "J_n integrated over the domain: 2.228 at time: 0.680\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.680\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.680\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.680\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.680\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.690\n", + "J_n integrated over the domain: 1.391 at time: 0.690\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.690\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.690\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.690\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.690\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.700\n", + "J_n integrated over the domain: 1.221 at time: 0.700\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.700\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.700\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.700\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.700\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 2.881 at time: 0.710\n", + "J_n integrated over the domain: 1.729 at time: 0.710\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.710\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.710\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.710\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.710\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.720\n", + "J_n integrated over the domain: 2.881 at time: 0.720\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.720\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.720\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.720\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.720\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.730\n", + "J_n integrated over the domain: 4.607 at time: 0.730\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.730\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.730\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.730\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.730\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.740\n", + "J_n integrated over the domain: 6.797 at time: 0.740\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.740\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.740\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.740\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.740\n", + "\n", + "J integrated over the domain: 12.000 at time: 0.750\n", + "J_n integrated over the domain: 9.314 at time: 0.750\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.750\n", + "d (def. map) integrated over the domain: 148.000 at time: 0.750\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.750\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.750\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.760\n", + "J_n integrated over the domain: 12.000 at time: 0.760\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.760\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.760\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.760\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.760\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.770\n", + "J_n integrated over the domain: 14.686 at time: 0.770\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.770\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.770\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.770\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.770\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.780\n", + "J_n integrated over the domain: 17.203 at time: 0.780\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.780\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.780\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.780\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.780\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.790\n", + "J_n integrated over the domain: 19.393 at time: 0.790\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.790\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.790\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.790\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.790\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.800\n", + "J_n integrated over the domain: 21.119 at time: 0.800\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.800\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.800\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.800\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.800\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.810\n", + "J_n integrated over the domain: 22.271 at time: 0.810\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.810\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.810\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.810\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.810\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.820\n", + "J_n integrated over the domain: 22.779 at time: 0.820\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.820\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.820\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.820\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.820\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.830\n", + "J_n integrated over the domain: 22.609 at time: 0.830\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.830\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.830\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.830\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.830\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.840\n", + "J_n integrated over the domain: 21.772 at time: 0.840\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.840\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.840\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.840\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.840\n", + "\n", 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domain: 182.319 at time: 0.870\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.870\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.870\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.880\n", + "J_n integrated over the domain: 13.354 at time: 0.880\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.880\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.880\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.880\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.880\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.890\n", + "J_n integrated over the domain: 10.646 at time: 0.890\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.890\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.890\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.890\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.890\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.900\n", + "J_n integrated over the domain: 8.024 at time: 0.900\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.900\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.900\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.900\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.900\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.910\n", + "J_n integrated over the domain: 5.652 at time: 0.910\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.910\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.910\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.910\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.910\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.920\n", + "J_n integrated over the domain: 3.678 at time: 0.920\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.920\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.920\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.920\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.920\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.930\n", + "J_n integrated over the domain: 2.228 at time: 0.930\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.930\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.930\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.930\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.930\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.940\n", + "J_n integrated over the domain: 1.391 at time: 0.940\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.940\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.940\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.940\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.940\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 1.729 at time: 0.950\n", + "J_n integrated over the domain: 1.221 at time: 0.950\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.950\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.950\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.950\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.950\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.960\n", + "J_n integrated over the domain: 1.729 at time: 0.960\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.960\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.960\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.960\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.960\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.970\n", + "J_n integrated over the domain: 2.881 at time: 0.970\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.970\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.970\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.970\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.970\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.980\n", + "J_n integrated over the domain: 4.607 at time: 0.980\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.980\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.980\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.980\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.980\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.990\n", + "J_n integrated over the domain: 6.797 at time: 0.990\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.990\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.990\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.990\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.990\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.000\n", + "J_n integrated over the domain: 9.314 at time: 1.000\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.000\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.000\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.000\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.000\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.010\n", + "J_n integrated over the domain: 12.000 at time: 1.010\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.010\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.010\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.010\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.010\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.020\n", + "J_n integrated over the domain: 14.686 at time: 1.020\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.020\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.020\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.020\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.020\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.030\n", + "J_n integrated over the domain: 17.203 at time: 1.030\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.030\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.030\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.030\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.030\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.040\n", + "J_n integrated over the domain: 19.393 at time: 1.040\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.040\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.040\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.040\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.040\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.050\n", + "J_n integrated over the domain: 21.119 at time: 1.050\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.050\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.050\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.050\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.050\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.060\n", + "J_n integrated over the domain: 22.271 at time: 1.060\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.060\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.060\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.060\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.060\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.070\n", + "J_n integrated over the domain: 22.779 at time: 1.070\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.070\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.070\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.070\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.070\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.080\n", + "J_n integrated over the domain: 22.609 at time: 1.080\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.080\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.080\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.080\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.080\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.090\n", + "J_n integrated over the domain: 21.772 at time: 1.090\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.090\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.090\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.090\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.090\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.100\n", + "J_n integrated over the domain: 20.322 at time: 1.100\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.100\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.100\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.100\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.100\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.110\n", + "J_n integrated over the domain: 18.348 at time: 1.110\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.110\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.110\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.110\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.110\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.120\n", + "J_n integrated over the domain: 15.976 at time: 1.120\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.120\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.120\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.120\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.120\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.130\n", + "J_n integrated over the domain: 13.354 at time: 1.130\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.130\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.130\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.130\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.130\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.140\n", + "J_n integrated over the domain: 10.646 at time: 1.140\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.140\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.140\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.140\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.140\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.150\n", + "J_n integrated over the domain: 8.024 at time: 1.150\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.150\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.150\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.150\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.150\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.160\n", + "J_n integrated over the domain: 5.652 at time: 1.160\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.160\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.160\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.160\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.160\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.170\n", + "J_n integrated over the domain: 3.678 at time: 1.170\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.170\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.170\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.170\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.170\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.180\n", + "J_n integrated over the domain: 2.228 at time: 1.180\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.180\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.180\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.180\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.180\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 1.221 at time: 1.190\n", + "J_n integrated over the domain: 1.391 at time: 1.190\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.190\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.190\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.190\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.190\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.200\n", + "J_n integrated over the domain: 1.221 at time: 1.200\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.200\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.200\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.200\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.200\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.210\n", + "J_n integrated over the domain: 1.729 at time: 1.210\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.210\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.210\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.210\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.210\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.220\n", + "J_n integrated over the domain: 2.881 at time: 1.220\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.220\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.220\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.220\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.220\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.230\n", + "J_n integrated over the domain: 4.607 at time: 1.230\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.230\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.230\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.230\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.230\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.240\n", + "J_n integrated over the domain: 6.797 at time: 1.240\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.240\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.240\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.240\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.240\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.250\n", + "J_n integrated over the domain: 9.314 at time: 1.250\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.250\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.250\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.250\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.250\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.260\n", + "J_n integrated over the domain: 12.000 at time: 1.260\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.260\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.260\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.260\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.260\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.270\n", + "J_n integrated over the domain: 14.686 at time: 1.270\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.270\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.270\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.270\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.270\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.280\n", + "J_n integrated over the domain: 17.203 at time: 1.280\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.280\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.280\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.280\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.280\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.290\n", + "J_n integrated over the domain: 19.393 at time: 1.290\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.290\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.290\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.290\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.290\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.300\n", + "J_n integrated over the domain: 21.119 at time: 1.300\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.300\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.300\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.300\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.300\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.310\n", + "J_n integrated over the domain: 22.271 at time: 1.310\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.310\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.310\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.310\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.310\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.320\n", + "J_n integrated over the domain: 22.779 at time: 1.320\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.320\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.320\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.320\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.320\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.330\n", + "J_n integrated over the domain: 22.609 at time: 1.330\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.330\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.330\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.330\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.330\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.340\n", + "J_n integrated over the domain: 21.772 at time: 1.340\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.340\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.340\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.340\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.340\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.350\n", + "J_n integrated over the domain: 20.322 at time: 1.350\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.350\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.350\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.350\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.350\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.360\n", + "J_n integrated over the domain: 18.348 at time: 1.360\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.360\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.360\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.360\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.360\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.370\n", + "J_n integrated over the domain: 15.976 at time: 1.370\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.370\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.370\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.370\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.370\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.380\n", + "J_n integrated over the domain: 13.354 at time: 1.380\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.380\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.380\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.380\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.380\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.390\n", + "J_n integrated over the domain: 10.646 at time: 1.390\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.390\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.390\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.390\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.390\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.400\n", + "J_n integrated over the domain: 8.024 at time: 1.400\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.400\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.400\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.400\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.400\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.410\n", + "J_n integrated over the domain: 5.652 at time: 1.410\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.410\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.410\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.410\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.410\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.420\n", + "J_n integrated over the domain: 3.678 at time: 1.420\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.420\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.420\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.420\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.420\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 1.391 at time: 1.430\n", + "J_n integrated over the domain: 2.228 at time: 1.430\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.430\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.430\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.430\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.430\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.440\n", + "J_n integrated over the domain: 1.391 at time: 1.440\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.440\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.440\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.440\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.440\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.450\n", + "J_n integrated over the domain: 1.221 at time: 1.450\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.450\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.450\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.450\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.450\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.460\n", + "J_n integrated over the domain: 1.729 at time: 1.460\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.460\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.460\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.460\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.460\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.470\n", + "J_n integrated over the domain: 2.881 at time: 1.470\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.470\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.470\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.470\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.470\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.480\n", + "J_n integrated over the domain: 4.607 at time: 1.480\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.480\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.480\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.480\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.480\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.490\n", + "J_n integrated over the domain: 6.797 at time: 1.490\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.490\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.490\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.490\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.490\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.500\n", + "J_n integrated over the domain: 9.314 at time: 1.500\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.500\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.500\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.500\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.500\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.510\n", + "J_n integrated over the domain: 12.000 at time: 1.510\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.510\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.510\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.510\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.510\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.520\n", + "J_n integrated over the domain: 14.686 at time: 1.520\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.520\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.520\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.520\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.520\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.530\n", + "J_n integrated over the domain: 17.203 at time: 1.530\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.530\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.530\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.530\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.530\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.540\n", + "J_n integrated over the domain: 19.393 at time: 1.540\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.540\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.540\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.540\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.540\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.550\n", + "J_n integrated over the domain: 21.119 at time: 1.550\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.550\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.550\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.550\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.550\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.560\n", + "J_n integrated over the domain: 22.271 at time: 1.560\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.560\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.560\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.560\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.560\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.570\n", + "J_n integrated over the domain: 22.779 at time: 1.570\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.570\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.570\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.570\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.570\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.580\n", + "J_n integrated over the domain: 22.609 at time: 1.580\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.580\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.580\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.580\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.580\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.590\n", + "J_n integrated over the domain: 21.772 at time: 1.590\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.590\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.590\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.590\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.590\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.600\n", + "J_n integrated over the domain: 20.322 at time: 1.600\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.600\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.600\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.600\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.600\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.610\n", + "J_n integrated over the domain: 18.348 at time: 1.610\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.610\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.610\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.610\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.610\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.620\n", + "J_n integrated over the domain: 15.976 at time: 1.620\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.620\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.620\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.620\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.620\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.630\n", + "J_n integrated over the domain: 13.354 at time: 1.630\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.630\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.630\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.630\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.630\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.640\n", + "J_n integrated over the domain: 10.646 at time: 1.640\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.640\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.640\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.640\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.640\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.650\n", + "J_n integrated over the domain: 8.024 at time: 1.650\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.650\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.650\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.650\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.650\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.660\n", + "J_n integrated over the domain: 5.652 at time: 1.660\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.660\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.660\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.660\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.660\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 2.228 at time: 1.670\n", + "J_n integrated over the domain: 3.678 at time: 1.670\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.670\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.670\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.670\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.670\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.680\n", + "J_n integrated over the domain: 2.228 at time: 1.680\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.680\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.680\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.680\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.680\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.690\n", + "J_n integrated over the domain: 1.391 at time: 1.690\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.690\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.690\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.690\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.690\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.700\n", + "J_n integrated over the domain: 1.221 at time: 1.700\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.700\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.700\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.700\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.700\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.710\n", + "J_n integrated over the domain: 1.729 at time: 1.710\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.710\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.710\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.710\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.710\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.720\n", + "J_n integrated over the domain: 2.881 at time: 1.720\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.720\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.720\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.720\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.720\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.730\n", + "J_n integrated over the domain: 4.607 at time: 1.730\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.730\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.730\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.730\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.730\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.740\n", + "J_n integrated over the domain: 6.797 at time: 1.740\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.740\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.740\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.740\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.740\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.750\n", + "J_n integrated over the domain: 9.314 at time: 1.750\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.750\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.750\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.750\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.750\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.760\n", + "J_n integrated over the domain: 12.000 at time: 1.760\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.760\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.760\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.760\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.760\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.770\n", + "J_n integrated over the domain: 14.686 at time: 1.770\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.770\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.770\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.770\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.770\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.780\n", + "J_n integrated over the domain: 17.203 at time: 1.780\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.780\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.780\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.780\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.780\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.790\n", + "J_n integrated over the domain: 19.393 at time: 1.790\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.790\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.790\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.790\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.790\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.800\n", + "J_n integrated over the domain: 21.119 at time: 1.800\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.800\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.800\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.800\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.800\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.810\n", + "J_n integrated over the domain: 22.271 at time: 1.810\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.810\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.810\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.810\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.810\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.820\n", + "J_n integrated over the domain: 22.779 at time: 1.820\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.820\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.820\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.820\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.820\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.830\n", + "J_n integrated over the domain: 22.609 at time: 1.830\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.830\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.830\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.830\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.830\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.840\n", + "J_n integrated over the domain: 21.772 at time: 1.840\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.840\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.840\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.840\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.840\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.850\n", + "J_n integrated over the domain: 20.322 at time: 1.850\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.850\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.850\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.850\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.850\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.860\n", + "J_n integrated over the domain: 18.348 at time: 1.860\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.860\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.860\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.860\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.860\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.870\n", + "J_n integrated over the domain: 15.976 at time: 1.870\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.870\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.870\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.870\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.870\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.880\n", + "J_n integrated over the domain: 13.354 at time: 1.880\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.880\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.880\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.880\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.880\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.890\n", + "J_n integrated over the domain: 10.646 at time: 1.890\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.890\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.890\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.890\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.890\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.900\n", + "J_n integrated over the domain: 8.024 at time: 1.900\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.900\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.900\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.900\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.900\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 3.678 at time: 1.910\n", + "J_n integrated over the domain: 5.652 at time: 1.910\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.910\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.910\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.910\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.910\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.920\n", + "J_n integrated over the domain: 3.678 at time: 1.920\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.920\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.920\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.920\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.920\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.930\n", + "J_n integrated over the domain: 2.228 at time: 1.930\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.930\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.930\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.930\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.930\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.940\n", + "J_n integrated over the domain: 1.391 at time: 1.940\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.940\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.940\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.940\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.940\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.950\n", + "J_n integrated over the domain: 1.221 at time: 1.950\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.950\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.950\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.950\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.950\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.960\n", + "J_n integrated over the domain: 1.729 at time: 1.960\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.960\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.960\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.960\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.960\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.970\n", + "J_n integrated over the domain: 2.881 at time: 1.970\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.970\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.970\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.970\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.970\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.980\n", + "J_n integrated over the domain: 4.607 at time: 1.980\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.980\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.980\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.980\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.980\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.990\n", + "J_n integrated over the domain: 6.797 at time: 1.990\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.990\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.990\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.990\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.990\n", + "\n", + "J integrated over the domain: 12.000 at time: 2.000\n", + "J_n integrated over the domain: 9.314 at time: 2.000\n", + "Well-posedness condition 3J - J_n > 0: True at time 2.000\n", + "d (def. map) integrated over the domain: 148.000 at time: 2.000\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 2.000\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 2.000\n", + "\n", + "Number of degrees of freedom: 14387\n", + "Solution Computed in 105.4 seconds\n", + "\n", + "----------------Computation Completed!----------------\n", + "\n", + "\n", + "Initializing iNSE problem with Deformation type: High_Osc_con\n", + "\n", + "\n", + "Setup with initial condition: True\n", + "Using a non-zero initial condition (2D-Gaussian) for the velocity field!\n", + "Using time-derivative term approximated with Jacobian at n+1...\n", + "Using LU Solver...\n", + "Starting iteration over time...\n", + "E (Energy) of initial velocity field: 0.01659 at time 0.000\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.010\n", + "J_n integrated over the domain: 12.000 at time: 0.010\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.010\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.010\n", + "Strain energy E( eps(|u|^2) ): 0.00049 at time 0.010\n", + "Residual of scheme -> 'delta' value: -0.00319 at time 0.010\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.020\n", + "J_n integrated over the domain: 9.314 at time: 0.020\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.020\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.020\n", + "Strain energy E( eps(|u|^2) ): 0.00065 at time 0.020\n", + "Residual of scheme -> 'delta' value: -0.00012 at time 0.020\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.030\n", + "J_n integrated over the domain: 6.797 at time: 0.030\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.030\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.030\n", + "Strain energy E( eps(|u|^2) ): 0.00043 at time 0.030\n", + "Residual of scheme -> 'delta' value: -0.00015 at time 0.030\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.040\n", + "J_n integrated over the domain: 4.607 at time: 0.040\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.040\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.040\n", + "Strain energy E( eps(|u|^2) ): 0.00015 at time 0.040\n", + "Residual of scheme -> 'delta' value: -0.00009 at time 0.040\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.050\n", + "J_n integrated over the domain: 2.881 at time: 0.050\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.050\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.050\n", + "Strain energy E( eps(|u|^2) ): 0.00003 at time 0.050\n", + "Residual of scheme -> 'delta' value: -0.00002 at time 0.050\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.060\n", + "J_n integrated over the domain: 1.729 at time: 0.060\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.060\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.060\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.060\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.060\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.070\n", + "J_n integrated over the domain: 1.221 at time: 0.070\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.070\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.070\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.070\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.070\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.080\n", + "J_n integrated over the domain: 1.391 at time: 0.080\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.080\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.080\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.080\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.080\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.090\n", + "J_n integrated over the domain: 2.228 at time: 0.090\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.090\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.090\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.090\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.090\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.100\n", + "J_n integrated over the domain: 3.678 at time: 0.100\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.100\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.100\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.100\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.100\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.110\n", + "J_n integrated over the domain: 5.652 at time: 0.110\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.110\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.110\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.110\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.110\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.120\n", + "J_n integrated over the domain: 8.024 at time: 0.120\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.120\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.120\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.120\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.120\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.130\n", + "J_n integrated over the domain: 10.646 at time: 0.130\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.130\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.130\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.130\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.130\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 15.976 at time: 0.140\n", + "J_n integrated over the domain: 13.354 at time: 0.140\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.140\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.140\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.140\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.140\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.150\n", + "J_n integrated over the domain: 15.976 at time: 0.150\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.150\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.150\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.150\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.150\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.160\n", + "J_n integrated over the domain: 18.348 at time: 0.160\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.160\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.160\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.160\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.160\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.170\n", + "J_n integrated over the domain: 20.322 at time: 0.170\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.170\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.170\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.170\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.170\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.180\n", + "J_n integrated over the domain: 21.772 at time: 0.180\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.180\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.180\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.180\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.180\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.190\n", + "J_n integrated over the domain: 22.609 at time: 0.190\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.190\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.190\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.190\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.190\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.200\n", + "J_n integrated over the domain: 22.779 at time: 0.200\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.200\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.200\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.200\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.200\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.210\n", + "J_n integrated over the domain: 22.271 at time: 0.210\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.210\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.210\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.210\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.210\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.220\n", + "J_n integrated over the domain: 21.119 at time: 0.220\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.220\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.220\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.220\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.220\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.230\n", + "J_n integrated over the domain: 19.393 at time: 0.230\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.230\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.230\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.230\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.230\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.240\n", + "J_n integrated over the domain: 17.203 at time: 0.240\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.240\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.240\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.240\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.240\n", + "\n", + "J integrated over the domain: 12.000 at time: 0.250\n", + "J_n integrated over the domain: 14.686 at time: 0.250\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.250\n", + "d (def. map) integrated over the domain: 148.000 at time: 0.250\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.250\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.250\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.260\n", + "J_n integrated over the domain: 12.000 at time: 0.260\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.260\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.260\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.260\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.260\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.270\n", + "J_n integrated over the domain: 9.314 at time: 0.270\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.270\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.270\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.270\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.270\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.280\n", + "J_n integrated over the domain: 6.797 at time: 0.280\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.280\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.280\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.280\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.280\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.290\n", + "J_n integrated over the domain: 4.607 at time: 0.290\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.290\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.290\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.290\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.290\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.300\n", + "J_n integrated over the domain: 2.881 at time: 0.300\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.300\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.300\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.300\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.300\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.310\n", + "J_n integrated over the domain: 1.729 at time: 0.310\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.310\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.310\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.310\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.310\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.320\n", + "J_n integrated over the domain: 1.221 at time: 0.320\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.320\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.320\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.320\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.320\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.330\n", + "J_n integrated over the domain: 1.391 at time: 0.330\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.330\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.330\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.330\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.330\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.340\n", + "J_n integrated over the domain: 2.228 at time: 0.340\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.340\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.340\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.340\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.340\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.350\n", + "J_n integrated over the domain: 3.678 at time: 0.350\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.350\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.350\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.350\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.350\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.360\n", + "J_n integrated over the domain: 5.652 at time: 0.360\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.360\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.360\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.360\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.360\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.370\n", + "J_n integrated over the domain: 8.024 at time: 0.370\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.370\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.370\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.370\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.370\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 13.354 at time: 0.380\n", + "J_n integrated over the domain: 10.646 at time: 0.380\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.380\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.380\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.380\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.380\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.390\n", + "J_n integrated over the domain: 13.354 at time: 0.390\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.390\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.390\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.390\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.390\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.400\n", + "J_n integrated over the domain: 15.976 at time: 0.400\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.400\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.400\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.400\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.400\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.410\n", + "J_n integrated over the domain: 18.348 at time: 0.410\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.410\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.410\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.410\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.410\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.420\n", + "J_n integrated over the domain: 20.322 at time: 0.420\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.420\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.420\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.420\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.420\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.430\n", + "J_n integrated over the domain: 21.772 at time: 0.430\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.430\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.430\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.430\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.430\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.440\n", + "J_n integrated over the domain: 22.609 at time: 0.440\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.440\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.440\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.440\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.440\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.450\n", + "J_n integrated over the domain: 22.779 at time: 0.450\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.450\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.450\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.450\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.450\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.460\n", + "J_n integrated over the domain: 22.271 at time: 0.460\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.460\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.460\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.460\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.460\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.470\n", + "J_n integrated over the domain: 21.119 at time: 0.470\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.470\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.470\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.470\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.470\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.480\n", + "J_n integrated over the domain: 19.393 at time: 0.480\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.480\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.480\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.480\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.480\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.490\n", + "J_n integrated over the domain: 17.203 at time: 0.490\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.490\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.490\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.490\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.490\n", + "\n", + "J integrated over the domain: 12.000 at time: 0.500\n", + "J_n integrated over the domain: 14.686 at time: 0.500\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.500\n", + "d (def. map) integrated over the domain: 148.000 at time: 0.500\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.500\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.500\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.510\n", + "J_n integrated over the domain: 12.000 at time: 0.510\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.510\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.510\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.510\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.510\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.520\n", + "J_n integrated over the domain: 9.314 at time: 0.520\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.520\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.520\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.520\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.520\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.530\n", + "J_n integrated over the domain: 6.797 at time: 0.530\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.530\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.530\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.530\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.530\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.540\n", + "J_n integrated over the domain: 4.607 at time: 0.540\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.540\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.540\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.540\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.540\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.550\n", + "J_n integrated over the domain: 2.881 at time: 0.550\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.550\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.550\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.550\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.550\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.560\n", + "J_n integrated over the domain: 1.729 at time: 0.560\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.560\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.560\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.560\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.560\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.570\n", + "J_n integrated over the domain: 1.221 at time: 0.570\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.570\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.570\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.570\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.570\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.580\n", + "J_n integrated over the domain: 1.391 at time: 0.580\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.580\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.580\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.580\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.580\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.590\n", + "J_n integrated over the domain: 2.228 at time: 0.590\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.590\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.590\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.590\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.590\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.600\n", + "J_n integrated over the domain: 3.678 at time: 0.600\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.600\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.600\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.600\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.600\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.610\n", + "J_n integrated over the domain: 5.652 at time: 0.610\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.610\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.610\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.610\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.610\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 10.646 at time: 0.620\n", + "J_n integrated over the domain: 8.024 at time: 0.620\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.620\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.620\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.620\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.620\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.630\n", + "J_n integrated over the domain: 10.646 at time: 0.630\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.630\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.630\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.630\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.630\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.640\n", + "J_n integrated over the domain: 13.354 at time: 0.640\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.640\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.640\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.640\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.640\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.650\n", + "J_n integrated over the domain: 15.976 at time: 0.650\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.650\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.650\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.650\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.650\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.660\n", + "J_n integrated over the domain: 18.348 at time: 0.660\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.660\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.660\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.660\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.660\n", + "\n", 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domain: 522.869 at time: 0.690\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.690\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.690\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.700\n", + "J_n integrated over the domain: 22.779 at time: 0.700\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.700\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.700\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.700\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.700\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.710\n", + "J_n integrated over the domain: 22.271 at time: 0.710\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.710\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.710\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.710\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.710\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.720\n", + "J_n integrated over the domain: 21.119 at time: 0.720\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.720\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.720\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.720\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.720\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.730\n", + "J_n integrated over the domain: 19.393 at time: 0.730\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.730\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.730\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.730\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.730\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.740\n", + "J_n integrated over the domain: 17.203 at time: 0.740\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.740\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.740\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.740\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.740\n", + "\n", + "J integrated over the domain: 12.000 at time: 0.750\n", + "J_n integrated over the domain: 14.686 at time: 0.750\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.750\n", + "d (def. map) integrated over the domain: 148.000 at time: 0.750\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.750\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.750\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.760\n", + "J_n integrated over the domain: 12.000 at time: 0.760\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.760\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.760\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.760\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.760\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.770\n", + "J_n integrated over the domain: 9.314 at time: 0.770\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.770\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.770\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.770\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.770\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.780\n", + "J_n integrated over the domain: 6.797 at time: 0.780\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.780\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.780\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.780\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.780\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.790\n", + "J_n integrated over the domain: 4.607 at time: 0.790\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.790\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.790\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.790\n", + "Residual 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True at time 0.820\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.820\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.820\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.820\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.830\n", + "J_n integrated over the domain: 1.391 at time: 0.830\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.830\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.830\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.830\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.830\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.840\n", + "J_n integrated over the domain: 2.228 at time: 0.840\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.840\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.840\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.840\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.840\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.850\n", + "J_n integrated over the domain: 3.678 at time: 0.850\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.850\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.850\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.850\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.850\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 8.024 at time: 0.860\n", + "J_n integrated over the domain: 5.652 at time: 0.860\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.860\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.860\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.860\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.860\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.870\n", + "J_n integrated over the domain: 8.024 at time: 0.870\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.870\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.870\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.870\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.870\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.880\n", + "J_n integrated over the domain: 10.646 at time: 0.880\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.880\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.880\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.880\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.880\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.890\n", + "J_n integrated over the domain: 13.354 at time: 0.890\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.890\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.890\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.890\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.890\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.900\n", + "J_n integrated over the domain: 15.976 at time: 0.900\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.900\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.900\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.900\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.900\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.910\n", + "J_n integrated over the domain: 18.348 at time: 0.910\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.910\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.910\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.910\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.910\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.920\n", + "J_n integrated over the domain: 20.322 at time: 0.920\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.920\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.920\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.920\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.920\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.930\n", + "J_n integrated over the domain: 21.772 at time: 0.930\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.930\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.930\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.930\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.930\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.940\n", + "J_n integrated over the domain: 22.609 at time: 0.940\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.940\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.940\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.940\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.940\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.950\n", + "J_n integrated over the domain: 22.779 at time: 0.950\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.950\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.950\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.950\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.950\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.960\n", + "J_n integrated over the domain: 22.271 at time: 0.960\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.960\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.960\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.960\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.960\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.970\n", + "J_n integrated over the domain: 21.119 at time: 0.970\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.970\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.970\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.970\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.970\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.980\n", + "J_n integrated over the domain: 19.393 at time: 0.980\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.980\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.980\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.980\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.980\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.990\n", + "J_n integrated over the domain: 17.203 at time: 0.990\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.990\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.990\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.990\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.990\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.000\n", + "J_n integrated over the domain: 14.686 at time: 1.000\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.000\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.000\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.000\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.000\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.010\n", + "J_n integrated over the domain: 12.000 at time: 1.010\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.010\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.010\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.010\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.010\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.020\n", + "J_n integrated over the domain: 9.314 at time: 1.020\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.020\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.020\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.020\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.020\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.030\n", + "J_n integrated over the domain: 6.797 at time: 1.030\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.030\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.030\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.030\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.030\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.040\n", + "J_n integrated over the domain: 4.607 at time: 1.040\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.040\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.040\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.040\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.040\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.050\n", + "J_n integrated over the domain: 2.881 at time: 1.050\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.050\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.050\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.050\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.050\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.060\n", + "J_n integrated over the domain: 1.729 at time: 1.060\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.060\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.060\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.060\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.060\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.070\n", + "J_n integrated over the domain: 1.221 at time: 1.070\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.070\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.070\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.070\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.070\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.080\n", + "J_n integrated over the domain: 1.391 at time: 1.080\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.080\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.080\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.080\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.080\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.090\n", + "J_n integrated over the domain: 2.228 at time: 1.090\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.090\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.090\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.090\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.090\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 5.652 at time: 1.100\n", + "J_n integrated over the domain: 3.678 at time: 1.100\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.100\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.100\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.100\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.100\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.110\n", + "J_n integrated over the domain: 5.652 at time: 1.110\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.110\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.110\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.110\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.110\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.120\n", + "J_n integrated over the domain: 8.024 at time: 1.120\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.120\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.120\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.120\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.120\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.130\n", + "J_n integrated over the domain: 10.646 at time: 1.130\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.130\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.130\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.130\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.130\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.140\n", + "J_n integrated over the domain: 13.354 at time: 1.140\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.140\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.140\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.140\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.140\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.150\n", + "J_n integrated over the domain: 15.976 at time: 1.150\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.150\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.150\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.150\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.150\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.160\n", + "J_n integrated over the domain: 18.348 at time: 1.160\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.160\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.160\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.160\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.160\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.170\n", + "J_n integrated over the domain: 20.322 at time: 1.170\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.170\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.170\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.170\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.170\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.180\n", + "J_n integrated over the domain: 21.772 at time: 1.180\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.180\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.180\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.180\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.180\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.190\n", + "J_n integrated over the domain: 22.609 at time: 1.190\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.190\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.190\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.190\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.190\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.200\n", + "J_n integrated over the domain: 22.779 at time: 1.200\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.200\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.200\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.200\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.200\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.210\n", + "J_n integrated over the domain: 22.271 at time: 1.210\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.210\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.210\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.210\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.210\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.220\n", + "J_n integrated over the domain: 21.119 at time: 1.220\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.220\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.220\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.220\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.220\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.230\n", + "J_n integrated over the domain: 19.393 at time: 1.230\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.230\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.230\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.230\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.230\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.240\n", + "J_n integrated over the domain: 17.203 at time: 1.240\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.240\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.240\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.240\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.240\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.250\n", + "J_n integrated over the domain: 14.686 at time: 1.250\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.250\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.250\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.250\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.250\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.260\n", + "J_n integrated over the domain: 12.000 at time: 1.260\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.260\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.260\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.260\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.260\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.270\n", + "J_n integrated over the domain: 9.314 at time: 1.270\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.270\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.270\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.270\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.270\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.280\n", + "J_n integrated over the domain: 6.797 at time: 1.280\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.280\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.280\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.280\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.280\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.290\n", + "J_n integrated over the domain: 4.607 at time: 1.290\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.290\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.290\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.290\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.290\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.300\n", + "J_n integrated over the domain: 2.881 at time: 1.300\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.300\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.300\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.300\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.300\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.310\n", + "J_n integrated over the domain: 1.729 at time: 1.310\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.310\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.310\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.310\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.310\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.320\n", + "J_n integrated over the domain: 1.221 at time: 1.320\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.320\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.320\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.320\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.320\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.330\n", + "J_n integrated over the domain: 1.391 at time: 1.330\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.330\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.330\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.330\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.330\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 3.678 at time: 1.340\n", + "J_n integrated over the domain: 2.228 at time: 1.340\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.340\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.340\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.340\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.340\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.350\n", + "J_n integrated over the domain: 3.678 at time: 1.350\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.350\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.350\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.350\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.350\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.360\n", + "J_n integrated over the domain: 5.652 at time: 1.360\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.360\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.360\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.360\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.360\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.370\n", + "J_n integrated over the domain: 8.024 at time: 1.370\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.370\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.370\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.370\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.370\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.380\n", + "J_n integrated over the domain: 10.646 at time: 1.380\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.380\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.380\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.380\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.380\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.390\n", + "J_n integrated over the domain: 13.354 at time: 1.390\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.390\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.390\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.390\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.390\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.400\n", + "J_n integrated over the domain: 15.976 at time: 1.400\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.400\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.400\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.400\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.400\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.410\n", + "J_n integrated over the domain: 18.348 at time: 1.410\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.410\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.410\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.410\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.410\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.420\n", + "J_n integrated over the domain: 20.322 at time: 1.420\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.420\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.420\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.420\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.420\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.430\n", + "J_n integrated over the domain: 21.772 at time: 1.430\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.430\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.430\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.430\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.430\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.440\n", + "J_n integrated over the domain: 22.609 at time: 1.440\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.440\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.440\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.440\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.440\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.450\n", + "J_n integrated over the domain: 22.779 at time: 1.450\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.450\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.450\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.450\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.450\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.460\n", + "J_n integrated over the domain: 22.271 at time: 1.460\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.460\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.460\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.460\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.460\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.470\n", + "J_n integrated over the domain: 21.119 at time: 1.470\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.470\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.470\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.470\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.470\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.480\n", + "J_n integrated over the domain: 19.393 at time: 1.480\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.480\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.480\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.480\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.480\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.490\n", + "J_n integrated over the domain: 17.203 at time: 1.490\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.490\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.490\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.490\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.490\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.500\n", + "J_n integrated over the domain: 14.686 at time: 1.500\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.500\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.500\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.500\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.500\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.510\n", + "J_n integrated over the domain: 12.000 at time: 1.510\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.510\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.510\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.510\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.510\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.520\n", + "J_n integrated over the domain: 9.314 at time: 1.520\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.520\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.520\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.520\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.520\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.530\n", + "J_n integrated over the domain: 6.797 at time: 1.530\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.530\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.530\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.530\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.530\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.540\n", + "J_n integrated over the domain: 4.607 at time: 1.540\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.540\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.540\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.540\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.540\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.550\n", + "J_n integrated over the domain: 2.881 at time: 1.550\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.550\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.550\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.550\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.550\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.560\n", + "J_n integrated over the domain: 1.729 at time: 1.560\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.560\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.560\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.560\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.560\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.570\n", + "J_n integrated over the domain: 1.221 at time: 1.570\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.570\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.570\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.570\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.570\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 2.228 at time: 1.580\n", + "J_n integrated over the domain: 1.391 at time: 1.580\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.580\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.580\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.580\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.580\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.590\n", + "J_n integrated over the domain: 2.228 at time: 1.590\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.590\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.590\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.590\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.590\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.600\n", + "J_n integrated over the domain: 3.678 at time: 1.600\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.600\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.600\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.600\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.600\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.610\n", + "J_n integrated over the domain: 5.652 at time: 1.610\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.610\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.610\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.610\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.610\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.620\n", + "J_n integrated over the domain: 8.024 at time: 1.620\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.620\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.620\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.620\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.620\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.630\n", + "J_n integrated over the domain: 10.646 at time: 1.630\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.630\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.630\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.630\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.630\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.640\n", + "J_n integrated over the domain: 13.354 at time: 1.640\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.640\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.640\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.640\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.640\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.650\n", + "J_n integrated over the domain: 15.976 at time: 1.650\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.650\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.650\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.650\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.650\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.660\n", + "J_n integrated over the domain: 18.348 at time: 1.660\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.660\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.660\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.660\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.660\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.670\n", + "J_n integrated over the domain: 20.322 at time: 1.670\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.670\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.670\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.670\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.670\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.680\n", + "J_n integrated over the domain: 21.772 at time: 1.680\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.680\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.680\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.680\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.680\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.690\n", + "J_n integrated over the domain: 22.609 at time: 1.690\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.690\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.690\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.690\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.690\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.700\n", + "J_n integrated over the domain: 22.779 at time: 1.700\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.700\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.700\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.700\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.700\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.710\n", + "J_n integrated over the domain: 22.271 at time: 1.710\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.710\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.710\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.710\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.710\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.720\n", + "J_n integrated over the domain: 21.119 at time: 1.720\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.720\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.720\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.720\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.720\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.730\n", + "J_n integrated over the domain: 19.393 at time: 1.730\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.730\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.730\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.730\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.730\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.740\n", + "J_n integrated over the domain: 17.203 at time: 1.740\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.740\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.740\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.740\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.740\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.750\n", + "J_n integrated over the domain: 14.686 at time: 1.750\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.750\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.750\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.750\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.750\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.760\n", + "J_n integrated over the domain: 12.000 at time: 1.760\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.760\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.760\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.760\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.760\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.770\n", + "J_n integrated over the domain: 9.314 at time: 1.770\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.770\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.770\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.770\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.770\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.780\n", + "J_n integrated over the domain: 6.797 at time: 1.780\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.780\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.780\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.780\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.780\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.790\n", + "J_n integrated over the domain: 4.607 at time: 1.790\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.790\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.790\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.790\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.790\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.800\n", + "J_n integrated over the domain: 2.881 at time: 1.800\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.800\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.800\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.800\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.800\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.810\n", + "J_n integrated over the domain: 1.729 at time: 1.810\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.810\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.810\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.810\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.810\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 1.391 at time: 1.820\n", + "J_n integrated over the domain: 1.221 at time: 1.820\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.820\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.820\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.820\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.820\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.830\n", + "J_n integrated over the domain: 1.391 at time: 1.830\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.830\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.830\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.830\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.830\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.840\n", + "J_n integrated over the domain: 2.228 at time: 1.840\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.840\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.840\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.840\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.840\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.850\n", + "J_n integrated over the domain: 3.678 at time: 1.850\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.850\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.850\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.850\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.850\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.860\n", + "J_n integrated over the domain: 5.652 at time: 1.860\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.860\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.860\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.860\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.860\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.870\n", + "J_n integrated over the domain: 8.024 at time: 1.870\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.870\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.870\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.870\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.870\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.880\n", + "J_n integrated over the domain: 10.646 at time: 1.880\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.880\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.880\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.880\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.880\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.890\n", + "J_n integrated over the domain: 13.354 at time: 1.890\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.890\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.890\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.890\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.890\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.900\n", + "J_n integrated over the domain: 15.976 at time: 1.900\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.900\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.900\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.900\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.900\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.910\n", + "J_n integrated over the domain: 18.348 at time: 1.910\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.910\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.910\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.910\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.910\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.920\n", + "J_n integrated over the domain: 20.322 at time: 1.920\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.920\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.920\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.920\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.920\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.930\n", + "J_n integrated over the domain: 21.772 at time: 1.930\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.930\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.930\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.930\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.930\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.940\n", + "J_n integrated over the domain: 22.609 at time: 1.940\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.940\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.940\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.940\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.940\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.950\n", + "J_n integrated over the domain: 22.779 at time: 1.950\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.950\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.950\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.950\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.950\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.960\n", + "J_n integrated over the domain: 22.271 at time: 1.960\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.960\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.960\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.960\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.960\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.970\n", + "J_n integrated over the domain: 21.119 at time: 1.970\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.970\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.970\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.970\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.970\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.980\n", + "J_n integrated over the domain: 19.393 at time: 1.980\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.980\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.980\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.980\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.980\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.990\n", + "J_n integrated over the domain: 17.203 at time: 1.990\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.990\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.990\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.990\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.990\n", + "\n", + "J integrated over the domain: 12.000 at time: 2.000\n", + "J_n integrated over the domain: 14.686 at time: 2.000\n", + "Well-posedness condition 3J - J_n > 0: True at time 2.000\n", + "d (def. map) integrated over the domain: 148.000 at time: 2.000\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 2.000\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 2.000\n", + "\n", + "Number of degrees of freedom: 14387\n", + "Solution Computed in 106.06 seconds\n", + "\n", + "----------------Computation Completed!----------------\n", + "\n", + "\n", + "----------------Simulations Done!----------------.\n", + "\n", + "Initializing testing of two deformation cases with input parameters:\n", + " Solver to use -solver_to_use- : LU\n", + " \n", + "\n", + "Initializing iNSE problem with Deformation type: High_Osc_exp\n", + "\n", + "\n", + "Setup with initial condition: True\n", + "Using a non-zero initial condition (2D-Gaussian) for the velocity field!\n", + "Defining forms associated to Chorin-Temam scheme...\n", + "Using LU Solver...\n", + "Starting iteration over time...\n", + "E (Energy) of initial t. velocity: 0.01648 at time 0.000\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.010\n", + "J_n integrated over the domain: 12.000 at time: 0.010\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.010\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.010\n", + "Strain energy E( eps(|u|^2) ): 0.00005 at time 0.010\n", + "Residual of scheme -> 'delta' value: 0.00004 at time 0.010\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.020\n", + "J_n integrated over the domain: 14.686 at time: 0.020\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.020\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.020\n", + "Strain energy E( eps(|u|^2) ): 0.00007 at time 0.020\n", + "Residual of scheme -> 'delta' value: -0.00004 at time 0.020\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.030\n", + "J_n integrated over the domain: 17.203 at time: 0.030\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.030\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.030\n", + "Strain energy E( eps(|u|^2) ): 0.00006 at time 0.030\n", + "Residual of scheme -> 'delta' value: -0.00002 at time 0.030\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.040\n", + "J_n integrated over the domain: 19.393 at time: 0.040\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.040\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.040\n", + "Strain energy E( eps(|u|^2) ): 0.00006 at time 0.040\n", + "Residual of scheme -> 'delta' value: -0.00001 at time 0.040\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 22.271 at time: 0.050\n", + "J_n integrated over the domain: 21.119 at time: 0.050\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.050\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.050\n", + "Strain energy E( eps(|u|^2) ): 0.00005 at time 0.050\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.050\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.060\n", + "J_n integrated over the domain: 22.271 at time: 0.060\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.060\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.060\n", + "Strain energy E( eps(|u|^2) ): 0.00005 at time 0.060\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.060\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.070\n", + "J_n integrated over the domain: 22.779 at time: 0.070\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.070\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.070\n", + "Strain energy E( eps(|u|^2) ): 0.00005 at time 0.070\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.070\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.080\n", + "J_n integrated over the domain: 22.609 at time: 0.080\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.080\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.080\n", + "Strain energy E( eps(|u|^2) ): 0.00004 at time 0.080\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.080\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.090\n", + "J_n integrated over the domain: 21.772 at time: 0.090\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.090\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.090\n", + "Strain energy E( eps(|u|^2) ): 0.00004 at time 0.090\n", + "Residual of scheme -> 'delta' value: -0.00001 at time 0.090\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.100\n", + "J_n integrated over the domain: 20.322 at time: 0.100\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.100\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.100\n", + "Strain energy E( eps(|u|^2) ): 0.00004 at time 0.100\n", + "Residual of scheme -> 'delta' value: -0.00002 at time 0.100\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.110\n", + "J_n integrated over the domain: 18.348 at time: 0.110\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.110\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.110\n", + "Strain energy E( eps(|u|^2) ): 0.00004 at time 0.110\n", + "Residual of scheme -> 'delta' value: -0.00003 at time 0.110\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.120\n", + "J_n integrated over the domain: 15.976 at time: 0.120\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.120\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.120\n", + "Strain energy E( eps(|u|^2) ): 0.00006 at time 0.120\n", + "Residual of scheme -> 'delta' value: -0.00003 at time 0.120\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.130\n", + "J_n integrated over the domain: 13.354 at time: 0.130\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.130\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.130\n", + "Strain energy E( eps(|u|^2) ): 0.00014 at time 0.130\n", + "Residual of scheme -> 'delta' value: -0.00004 at time 0.130\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.140\n", + "J_n integrated over the domain: 10.646 at time: 0.140\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.140\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.140\n", + "Strain energy E( eps(|u|^2) ): 0.00023 at time 0.140\n", + "Residual of scheme -> 'delta' value: -0.00008 at time 0.140\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.150\n", + "J_n integrated over the domain: 8.024 at time: 0.150\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.150\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.150\n", + "Strain energy E( eps(|u|^2) ): 0.00021 at time 0.150\n", + "Residual of scheme -> 'delta' value: -0.00012 at time 0.150\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.160\n", + "J_n integrated over the domain: 5.652 at time: 0.160\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.160\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.160\n", + "Strain energy E( eps(|u|^2) ): 0.00011 at time 0.160\n", + "Residual of scheme -> 'delta' value: -0.00011 at time 0.160\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.170\n", + "J_n integrated over the domain: 3.678 at time: 0.170\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.170\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.170\n", + "Strain energy E( eps(|u|^2) ): 0.00003 at time 0.170\n", + "Residual of scheme -> 'delta' value: -0.00006 at time 0.170\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.180\n", + "J_n integrated over the domain: 2.228 at time: 0.180\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.180\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.180\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.180\n", + "Residual of scheme -> 'delta' value: -0.00001 at time 0.180\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.190\n", + "J_n integrated over the domain: 1.391 at time: 0.190\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.190\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.190\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.190\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.190\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.200\n", + "J_n integrated over the domain: 1.221 at time: 0.200\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.200\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.200\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.200\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.200\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.210\n", + "J_n integrated over the domain: 1.729 at time: 0.210\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.210\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.210\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.210\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.210\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.220\n", + "J_n integrated over the domain: 2.881 at time: 0.220\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.220\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.220\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.220\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.220\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.230\n", + "J_n integrated over the domain: 4.607 at time: 0.230\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.230\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.230\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.230\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.230\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.240\n", + "J_n integrated over the domain: 6.797 at time: 0.240\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.240\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.240\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.240\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.240\n", + "\n", + "J integrated over the domain: 12.000 at time: 0.250\n", + "J_n integrated over the domain: 9.314 at time: 0.250\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.250\n", + "d (def. map) integrated over the domain: 148.000 at time: 0.250\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.250\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.250\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.260\n", + "J_n integrated over the domain: 12.000 at time: 0.260\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.260\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.260\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.260\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.260\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.270\n", + "J_n integrated over the domain: 14.686 at time: 0.270\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.270\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.270\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.270\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.270\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.280\n", + "J_n integrated over the domain: 17.203 at time: 0.280\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.280\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.280\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.280\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.280\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 21.119 at time: 0.290\n", + "J_n integrated over the domain: 19.393 at time: 0.290\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.290\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.290\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.290\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.290\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.300\n", + "J_n integrated over the domain: 21.119 at time: 0.300\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.300\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.300\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.300\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.300\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.310\n", + "J_n integrated over the domain: 22.271 at time: 0.310\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.310\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.310\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.310\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.310\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.320\n", + "J_n integrated over the domain: 22.779 at time: 0.320\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.320\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.320\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.320\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.320\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.330\n", + "J_n integrated over the domain: 22.609 at time: 0.330\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.330\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.330\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.330\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.330\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.340\n", + "J_n integrated over the domain: 21.772 at time: 0.340\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.340\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.340\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.340\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.340\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.350\n", + "J_n integrated over the domain: 20.322 at time: 0.350\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.350\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.350\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.350\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.350\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.360\n", + "J_n integrated over the domain: 18.348 at time: 0.360\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.360\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.360\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.360\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.360\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.370\n", + "J_n integrated over the domain: 15.976 at time: 0.370\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.370\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.370\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.370\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.370\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.380\n", + "J_n integrated over the domain: 13.354 at time: 0.380\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.380\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.380\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.380\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.380\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.390\n", + "J_n integrated over the domain: 10.646 at time: 0.390\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.390\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.390\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.390\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.390\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.400\n", + "J_n integrated over the domain: 8.024 at time: 0.400\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.400\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.400\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.400\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.400\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.410\n", + "J_n integrated over the domain: 5.652 at time: 0.410\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.410\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.410\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.410\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.410\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.420\n", + "J_n integrated over the domain: 3.678 at time: 0.420\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.420\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.420\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.420\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.420\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.430\n", + "J_n integrated over the domain: 2.228 at time: 0.430\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.430\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.430\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.430\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.430\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.440\n", + "J_n integrated over the domain: 1.391 at time: 0.440\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.440\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.440\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.440\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.440\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.450\n", + "J_n integrated over the domain: 1.221 at time: 0.450\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.450\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.450\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.450\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.450\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.460\n", + "J_n integrated over the domain: 1.729 at time: 0.460\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.460\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.460\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.460\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.460\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.470\n", + "J_n integrated over the domain: 2.881 at time: 0.470\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.470\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.470\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.470\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.470\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.480\n", + "J_n integrated over the domain: 4.607 at time: 0.480\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.480\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.480\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.480\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.480\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.490\n", + "J_n integrated over the domain: 6.797 at time: 0.490\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.490\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.490\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.490\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.490\n", + "\n", + "J integrated over the domain: 12.000 at time: 0.500\n", + "J_n integrated over the domain: 9.314 at time: 0.500\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.500\n", + "d (def. map) integrated over the domain: 148.000 at time: 0.500\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.500\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.500\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.510\n", + "J_n integrated over the domain: 12.000 at time: 0.510\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.510\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.510\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.510\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.510\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.520\n", + "J_n integrated over the domain: 14.686 at time: 0.520\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.520\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.520\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.520\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.520\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 19.393 at time: 0.530\n", + "J_n integrated over the domain: 17.203 at time: 0.530\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.530\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.530\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.530\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.530\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.540\n", + "J_n integrated over the domain: 19.393 at time: 0.540\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.540\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.540\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.540\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.540\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.550\n", + "J_n integrated over the domain: 21.119 at time: 0.550\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.550\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.550\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.550\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.550\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.560\n", + "J_n integrated over the domain: 22.271 at time: 0.560\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.560\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.560\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.560\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.560\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.570\n", + "J_n integrated over the domain: 22.779 at time: 0.570\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.570\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.570\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.570\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.570\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.580\n", + "J_n integrated over the domain: 22.609 at time: 0.580\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.580\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.580\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.580\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.580\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.590\n", + "J_n integrated over the domain: 21.772 at time: 0.590\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.590\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.590\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.590\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.590\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.600\n", + "J_n integrated over the domain: 20.322 at time: 0.600\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.600\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.600\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.600\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.600\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.610\n", + "J_n integrated over the domain: 18.348 at time: 0.610\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.610\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.610\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.610\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.610\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.620\n", + "J_n integrated over the domain: 15.976 at time: 0.620\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.620\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.620\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.620\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.620\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.630\n", + "J_n integrated over the domain: 13.354 at time: 0.630\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.630\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.630\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.630\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.630\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.640\n", + "J_n integrated over the domain: 10.646 at time: 0.640\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.640\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.640\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.640\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.640\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.650\n", + "J_n integrated over the domain: 8.024 at time: 0.650\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.650\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.650\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.650\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.650\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.660\n", + "J_n integrated over the domain: 5.652 at time: 0.660\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.660\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.660\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.660\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.660\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.670\n", + "J_n integrated over the domain: 3.678 at time: 0.670\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.670\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.670\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.670\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.670\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.680\n", + "J_n integrated over the domain: 2.228 at time: 0.680\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.680\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.680\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.680\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.680\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.690\n", + "J_n integrated over the domain: 1.391 at time: 0.690\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.690\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.690\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.690\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.690\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.700\n", + "J_n integrated over the domain: 1.221 at time: 0.700\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.700\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.700\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.700\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.700\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.710\n", + "J_n integrated over the domain: 1.729 at time: 0.710\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.710\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.710\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.710\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.710\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.720\n", + "J_n integrated over the domain: 2.881 at time: 0.720\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.720\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.720\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.720\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.720\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.730\n", + "J_n integrated over the domain: 4.607 at time: 0.730\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.730\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.730\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.730\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.730\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.740\n", + "J_n integrated over the domain: 6.797 at time: 0.740\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.740\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.740\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.740\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.740\n", + "\n", + "J integrated over the domain: 12.000 at time: 0.750\n", + "J_n integrated over the domain: 9.314 at time: 0.750\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.750\n", + "d (def. map) integrated over the domain: 148.000 at time: 0.750\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.750\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.750\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.760\n", + "J_n integrated over the domain: 12.000 at time: 0.760\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.760\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.760\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.760\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.760\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.770\n", + "J_n integrated over the domain: 14.686 at time: 0.770\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.770\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.770\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.770\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.770\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 19.393 at time: 0.780\n", + "J_n integrated over the domain: 17.203 at time: 0.780\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.780\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.780\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.780\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.780\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.790\n", + "J_n integrated over the domain: 19.393 at time: 0.790\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.790\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.790\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.790\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.790\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.800\n", + "J_n integrated over the domain: 21.119 at time: 0.800\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.800\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.800\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.800\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.800\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.810\n", + "J_n integrated over the domain: 22.271 at time: 0.810\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.810\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.810\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.810\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.810\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.820\n", + "J_n integrated over the domain: 22.779 at time: 0.820\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.820\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.820\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.820\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.820\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.830\n", + "J_n integrated over the domain: 22.609 at time: 0.830\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.830\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.830\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.830\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.830\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.840\n", + "J_n integrated over the domain: 21.772 at time: 0.840\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.840\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.840\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.840\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.840\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.850\n", + "J_n integrated over the domain: 20.322 at time: 0.850\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.850\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.850\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.850\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.850\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.860\n", + "J_n integrated over the domain: 18.348 at time: 0.860\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.860\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.860\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.860\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.860\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.870\n", + "J_n integrated over the domain: 15.976 at time: 0.870\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.870\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.870\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.870\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.870\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.880\n", + "J_n integrated over the domain: 13.354 at time: 0.880\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.880\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.880\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.880\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.880\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.890\n", + "J_n integrated over the domain: 10.646 at time: 0.890\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.890\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.890\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.890\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.890\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.900\n", + "J_n integrated over the domain: 8.024 at time: 0.900\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.900\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.900\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.900\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.900\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.910\n", + "J_n integrated over the domain: 5.652 at time: 0.910\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.910\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.910\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.910\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.910\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.920\n", + "J_n integrated over the domain: 3.678 at time: 0.920\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.920\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.920\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.920\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.920\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.930\n", + "J_n integrated over the domain: 2.228 at time: 0.930\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.930\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.930\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.930\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.930\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.940\n", + "J_n integrated over the domain: 1.391 at time: 0.940\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.940\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.940\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.940\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.940\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.950\n", + "J_n integrated over the domain: 1.221 at time: 0.950\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.950\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.950\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.950\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.950\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.960\n", + "J_n integrated over the domain: 1.729 at time: 0.960\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.960\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.960\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.960\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.960\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.970\n", + "J_n integrated over the domain: 2.881 at time: 0.970\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.970\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.970\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.970\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.970\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.980\n", + "J_n integrated over the domain: 4.607 at time: 0.980\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.980\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.980\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.980\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.980\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.990\n", + "J_n integrated over the domain: 6.797 at time: 0.990\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.990\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.990\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.990\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.990\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.000\n", + "J_n integrated over the domain: 9.314 at time: 1.000\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.000\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.000\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.000\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.000\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.010\n", + "J_n integrated over the domain: 12.000 at time: 1.010\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.010\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.010\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.010\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.010\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.020\n", + "J_n integrated over the domain: 14.686 at time: 1.020\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.020\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.020\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.020\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.020\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.030\n", + "J_n integrated over the domain: 17.203 at time: 1.030\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.030\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.030\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.030\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.030\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 21.119 at time: 1.040\n", + "J_n integrated over the domain: 19.393 at time: 1.040\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.040\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.040\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.040\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.040\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.050\n", + "J_n integrated over the domain: 21.119 at time: 1.050\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.050\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.050\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.050\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.050\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.060\n", + "J_n integrated over the domain: 22.271 at time: 1.060\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.060\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.060\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.060\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.060\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.070\n", + "J_n integrated over the domain: 22.779 at time: 1.070\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.070\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.070\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.070\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.070\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.080\n", + "J_n integrated over the domain: 22.609 at time: 1.080\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.080\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.080\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.080\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.080\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.090\n", + "J_n integrated over the domain: 21.772 at time: 1.090\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.090\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.090\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.090\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.090\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.100\n", + "J_n integrated over the domain: 20.322 at time: 1.100\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.100\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.100\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.100\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.100\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.110\n", + "J_n integrated over the domain: 18.348 at time: 1.110\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.110\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.110\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.110\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.110\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.120\n", + "J_n integrated over the domain: 15.976 at time: 1.120\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.120\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.120\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.120\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.120\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.130\n", + "J_n integrated over the domain: 13.354 at time: 1.130\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.130\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.130\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.130\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.130\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.140\n", + "J_n integrated over the domain: 10.646 at time: 1.140\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.140\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.140\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.140\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.140\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.150\n", + "J_n integrated over the domain: 8.024 at time: 1.150\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.150\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.150\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.150\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.150\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.160\n", + "J_n integrated over the domain: 5.652 at time: 1.160\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.160\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.160\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.160\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.160\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.170\n", + "J_n integrated over the domain: 3.678 at time: 1.170\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.170\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.170\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.170\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.170\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.180\n", + "J_n integrated over the domain: 2.228 at time: 1.180\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.180\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.180\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.180\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.180\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.190\n", + "J_n integrated over the domain: 1.391 at time: 1.190\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.190\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.190\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.190\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.190\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.200\n", + "J_n integrated over the domain: 1.221 at time: 1.200\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.200\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.200\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.200\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.200\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.210\n", + "J_n integrated over the domain: 1.729 at time: 1.210\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.210\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.210\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.210\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.210\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.220\n", + "J_n integrated over the domain: 2.881 at time: 1.220\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.220\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.220\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.220\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.220\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.230\n", + "J_n integrated over the domain: 4.607 at time: 1.230\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.230\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.230\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.230\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.230\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.240\n", + "J_n integrated over the domain: 6.797 at time: 1.240\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.240\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.240\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.240\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.240\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.250\n", + "J_n integrated over the domain: 9.314 at time: 1.250\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.250\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.250\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.250\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.250\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.260\n", + "J_n integrated over the domain: 12.000 at time: 1.260\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.260\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.260\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.260\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.260\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.270\n", + "J_n integrated over the domain: 14.686 at time: 1.270\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.270\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.270\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.270\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.270\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 19.393 at time: 1.280\n", + "J_n integrated over the domain: 17.203 at time: 1.280\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.280\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.280\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.280\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.280\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.290\n", + "J_n integrated over the domain: 19.393 at time: 1.290\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.290\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.290\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.290\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.290\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.300\n", + "J_n integrated over the domain: 21.119 at time: 1.300\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.300\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.300\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.300\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.300\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.310\n", + "J_n integrated over the domain: 22.271 at time: 1.310\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.310\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.310\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.310\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.310\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.320\n", + "J_n integrated over the domain: 22.779 at time: 1.320\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.320\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.320\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.320\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.320\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.330\n", + "J_n integrated over the domain: 22.609 at time: 1.330\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.330\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.330\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.330\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.330\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.340\n", + "J_n integrated over the domain: 21.772 at time: 1.340\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.340\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.340\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.340\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.340\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.350\n", + "J_n integrated over the domain: 20.322 at time: 1.350\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.350\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.350\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.350\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.350\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.360\n", + "J_n integrated over the domain: 18.348 at time: 1.360\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.360\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.360\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.360\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.360\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.370\n", + "J_n integrated over the domain: 15.976 at time: 1.370\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.370\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.370\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.370\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.370\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.380\n", + "J_n integrated over the domain: 13.354 at time: 1.380\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.380\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.380\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.380\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.380\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.390\n", + "J_n integrated over the domain: 10.646 at time: 1.390\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.390\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.390\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.390\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.390\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.400\n", + "J_n integrated over the domain: 8.024 at time: 1.400\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.400\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.400\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.400\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.400\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.410\n", + "J_n integrated over the domain: 5.652 at time: 1.410\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.410\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.410\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.410\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.410\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.420\n", + "J_n integrated over the domain: 3.678 at time: 1.420\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.420\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.420\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.420\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.420\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.430\n", + "J_n integrated over the domain: 2.228 at time: 1.430\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.430\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.430\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.430\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.430\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.440\n", + "J_n integrated over the domain: 1.391 at time: 1.440\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.440\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.440\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.440\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.440\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.450\n", + "J_n integrated over the domain: 1.221 at time: 1.450\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.450\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.450\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.450\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.450\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.460\n", + "J_n integrated over the domain: 1.729 at time: 1.460\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.460\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.460\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.460\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.460\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.470\n", + "J_n integrated over the domain: 2.881 at time: 1.470\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.470\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.470\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.470\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.470\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.480\n", + "J_n integrated over the domain: 4.607 at time: 1.480\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.480\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.480\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.480\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.480\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.490\n", + "J_n integrated over the domain: 6.797 at time: 1.490\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.490\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.490\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.490\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.490\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.500\n", + "J_n integrated over the domain: 9.314 at time: 1.500\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.500\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.500\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.500\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.500\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.510\n", + "J_n integrated over the domain: 12.000 at time: 1.510\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.510\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.510\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.510\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.510\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.520\n", + "J_n integrated over the domain: 14.686 at time: 1.520\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.520\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.520\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.520\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.520\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 19.393 at time: 1.530\n", + "J_n integrated over the domain: 17.203 at time: 1.530\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.530\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.530\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.530\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.530\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.540\n", + "J_n integrated over the domain: 19.393 at time: 1.540\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.540\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.540\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.540\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.540\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.550\n", + "J_n integrated over the domain: 21.119 at time: 1.550\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.550\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.550\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.550\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.550\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.560\n", + "J_n integrated over the domain: 22.271 at time: 1.560\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.560\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.560\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.560\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.560\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.570\n", + "J_n integrated over the domain: 22.779 at time: 1.570\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.570\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.570\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.570\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.570\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.580\n", + "J_n integrated over the domain: 22.609 at time: 1.580\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.580\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.580\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.580\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.580\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.590\n", + "J_n integrated over the domain: 21.772 at time: 1.590\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.590\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.590\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.590\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.590\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.600\n", + "J_n integrated over the domain: 20.322 at time: 1.600\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.600\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.600\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.600\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.600\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.610\n", + "J_n integrated over the domain: 18.348 at time: 1.610\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.610\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.610\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.610\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.610\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.620\n", + "J_n integrated over the domain: 15.976 at time: 1.620\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.620\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.620\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.620\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.620\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.630\n", + "J_n integrated over the domain: 13.354 at time: 1.630\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.630\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.630\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.630\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.630\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.640\n", + "J_n integrated over the domain: 10.646 at time: 1.640\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.640\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.640\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.640\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.640\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.650\n", + "J_n integrated over the domain: 8.024 at time: 1.650\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.650\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.650\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.650\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.650\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.660\n", + "J_n integrated over the domain: 5.652 at time: 1.660\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.660\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.660\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.660\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.660\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.670\n", + "J_n integrated over the domain: 3.678 at time: 1.670\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.670\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.670\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.670\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.670\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.680\n", + "J_n integrated over the domain: 2.228 at time: 1.680\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.680\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.680\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.680\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.680\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.690\n", + "J_n integrated over the domain: 1.391 at time: 1.690\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.690\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.690\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.690\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.690\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.700\n", + "J_n integrated over the domain: 1.221 at time: 1.700\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.700\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.700\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.700\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.700\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.710\n", + "J_n integrated over the domain: 1.729 at time: 1.710\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.710\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.710\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.710\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.710\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.720\n", + "J_n integrated over the domain: 2.881 at time: 1.720\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.720\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.720\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.720\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.720\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.730\n", + "J_n integrated over the domain: 4.607 at time: 1.730\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.730\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.730\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.730\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.730\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.740\n", + "J_n integrated over the domain: 6.797 at time: 1.740\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.740\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.740\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.740\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.740\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.750\n", + "J_n integrated over the domain: 9.314 at time: 1.750\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.750\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.750\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.750\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.750\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.760\n", + "J_n integrated over the domain: 12.000 at time: 1.760\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.760\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.760\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.760\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.760\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.770\n", + "J_n integrated over the domain: 14.686 at time: 1.770\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.770\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.770\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.770\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.770\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 19.393 at time: 1.780\n", + "J_n integrated over the domain: 17.203 at time: 1.780\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.780\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.780\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.780\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.780\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.790\n", + "J_n integrated over the domain: 19.393 at time: 1.790\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.790\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.790\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.790\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.790\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.800\n", + "J_n integrated over the domain: 21.119 at time: 1.800\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.800\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.800\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.800\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.800\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.810\n", + "J_n integrated over the domain: 22.271 at time: 1.810\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.810\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.810\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.810\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.810\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.820\n", + "J_n integrated over the domain: 22.779 at time: 1.820\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.820\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.820\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.820\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.820\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.830\n", + "J_n integrated over the domain: 22.609 at time: 1.830\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.830\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.830\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.830\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.830\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.840\n", + "J_n integrated over the domain: 21.772 at time: 1.840\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.840\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.840\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.840\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.840\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.850\n", + "J_n integrated over the domain: 20.322 at time: 1.850\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.850\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.850\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.850\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.850\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.860\n", + "J_n integrated over the domain: 18.348 at time: 1.860\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.860\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.860\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.860\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.860\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.870\n", + "J_n integrated over the domain: 15.976 at time: 1.870\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.870\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.870\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.870\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.870\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.880\n", + "J_n integrated over the domain: 13.354 at time: 1.880\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.880\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.880\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.880\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.880\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.890\n", + "J_n integrated over the domain: 10.646 at time: 1.890\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.890\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.890\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.890\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.890\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.900\n", + "J_n integrated over the domain: 8.024 at time: 1.900\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.900\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.900\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.900\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.900\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.910\n", + "J_n integrated over the domain: 5.652 at time: 1.910\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.910\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.910\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.910\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.910\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.920\n", + "J_n integrated over the domain: 3.678 at time: 1.920\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.920\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.920\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.920\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.920\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.930\n", + "J_n integrated over the domain: 2.228 at time: 1.930\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.930\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.930\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.930\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.930\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.940\n", + "J_n integrated over the domain: 1.391 at time: 1.940\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.940\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.940\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.940\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.940\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.950\n", + "J_n integrated over the domain: 1.221 at time: 1.950\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.950\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.950\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.950\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.950\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.960\n", + "J_n integrated over the domain: 1.729 at time: 1.960\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.960\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.960\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.960\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.960\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.970\n", + "J_n integrated over the domain: 2.881 at time: 1.970\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.970\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.970\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.970\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.970\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.980\n", + "J_n integrated over the domain: 4.607 at time: 1.980\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.980\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.980\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.980\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.980\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.990\n", + "J_n integrated over the domain: 6.797 at time: 1.990\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.990\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.990\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.990\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.990\n", + "\n", + "J integrated over the domain: 12.000 at time: 2.000\n", + "J_n integrated over the domain: 9.314 at time: 2.000\n", + "Well-posedness condition 3J - J_n > 0: True at time 2.000\n", + "d (def. map) integrated over the domain: 148.000 at time: 2.000\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 2.000\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 2.000\n", + "\n", + "DoF for Velocity Space (U): 3298\n", + "DoF for Pressure Space (P): 1649\n", + "Solution Computed in 36.019 seconds\n", + "\n", + "----------------Computation Completed!----------------\n", + "\n", + "\n", + "Initializing iNSE problem with Deformation type: High_Osc_con\n", + "\n", + "\n", + "Setup with initial condition: True\n", + "Using a non-zero initial condition (2D-Gaussian) for the velocity field!\n", + "Defining forms associated to Chorin-Temam scheme...\n", + "Using LU Solver...\n", + "Starting iteration over time...\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "E (Energy) of initial t. velocity: 0.01648 at time 0.000\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.010\n", + "J_n integrated over the domain: 12.000 at time: 0.010\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.010\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.010\n", + "Strain energy E( eps(|u|^2) ): 0.00041 at time 0.010\n", + "Residual of scheme -> 'delta' value: 0.00012 at time 0.010\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.020\n", + "J_n integrated over the domain: 9.314 at time: 0.020\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.020\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.020\n", + "Strain energy E( eps(|u|^2) ): 0.00045 at time 0.020\n", + "Residual of scheme -> 'delta' value: -0.00017 at time 0.020\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.030\n", + "J_n integrated over the domain: 6.797 at time: 0.030\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.030\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.030\n", + "Strain energy E( eps(|u|^2) ): 0.00029 at time 0.030\n", + "Residual of scheme -> 'delta' value: -0.00023 at time 0.030\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.040\n", + "J_n integrated over the domain: 4.607 at time: 0.040\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.040\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.040\n", + "Strain energy E( eps(|u|^2) ): 0.00010 at time 0.040\n", + "Residual of scheme -> 'delta' value: -0.00015 at time 0.040\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.050\n", + "J_n integrated over the domain: 2.881 at time: 0.050\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.050\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.050\n", + "Strain energy E( eps(|u|^2) ): 0.00002 at time 0.050\n", + "Residual of scheme -> 'delta' value: -0.00005 at time 0.050\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.060\n", + "J_n integrated over the domain: 1.729 at time: 0.060\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.060\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.060\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.060\n", + "Residual of scheme -> 'delta' value: -0.00001 at time 0.060\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.070\n", + "J_n integrated over the domain: 1.221 at time: 0.070\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.070\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.070\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.070\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.070\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.080\n", + "J_n integrated over the domain: 1.391 at time: 0.080\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.080\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.080\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.080\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.080\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.090\n", + "J_n integrated over the domain: 2.228 at time: 0.090\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.090\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.090\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.090\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.090\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.100\n", + "J_n integrated over the domain: 3.678 at time: 0.100\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.100\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.100\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.100\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.100\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.110\n", + "J_n integrated over the domain: 5.652 at time: 0.110\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.110\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.110\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.110\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.110\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.120\n", + "J_n integrated over the domain: 8.024 at time: 0.120\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.120\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.120\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.120\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.120\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.130\n", + "J_n integrated over the domain: 10.646 at time: 0.130\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.130\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.130\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.130\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.130\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.140\n", + "J_n integrated over the domain: 13.354 at time: 0.140\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.140\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.140\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.140\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.140\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.150\n", + "J_n integrated over the domain: 15.976 at time: 0.150\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.150\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.150\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.150\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.150\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.160\n", + "J_n integrated over the domain: 18.348 at time: 0.160\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.160\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.160\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.160\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.160\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.170\n", + "J_n integrated over the domain: 20.322 at time: 0.170\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.170\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.170\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.170\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.170\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.180\n", + "J_n integrated over the domain: 21.772 at time: 0.180\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.180\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.180\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.180\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.180\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.190\n", + "J_n integrated over the domain: 22.609 at time: 0.190\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.190\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.190\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.190\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.190\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.200\n", + "J_n integrated over the domain: 22.779 at time: 0.200\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.200\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.200\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.200\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.200\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.210\n", + "J_n integrated over the domain: 22.271 at time: 0.210\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.210\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.210\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.210\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.210\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.220\n", + "J_n integrated over the domain: 21.119 at time: 0.220\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.220\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.220\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.220\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.220\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.230\n", + "J_n integrated over the domain: 19.393 at time: 0.230\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.230\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.230\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.230\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.230\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.240\n", + "J_n integrated over the domain: 17.203 at time: 0.240\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.240\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.240\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.240\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.240\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 12.000 at time: 0.250\n", + "J_n integrated over the domain: 14.686 at time: 0.250\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.250\n", + "d (def. map) integrated over the domain: 148.000 at time: 0.250\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.250\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.250\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.260\n", + "J_n integrated over the domain: 12.000 at time: 0.260\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.260\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.260\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.260\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.260\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.270\n", + "J_n integrated over the domain: 9.314 at time: 0.270\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.270\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.270\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.270\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.270\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.280\n", + "J_n integrated over the domain: 6.797 at time: 0.280\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.280\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.280\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.280\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.280\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.290\n", + "J_n integrated over the domain: 4.607 at time: 0.290\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.290\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.290\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.290\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.290\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.300\n", + "J_n integrated over the domain: 2.881 at time: 0.300\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.300\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.300\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.300\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.300\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.310\n", + "J_n integrated over the domain: 1.729 at time: 0.310\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.310\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.310\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.310\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.310\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.320\n", + "J_n integrated over the domain: 1.221 at time: 0.320\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.320\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.320\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.320\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.320\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.330\n", + "J_n integrated over the domain: 1.391 at time: 0.330\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.330\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.330\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.330\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.330\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.340\n", + "J_n integrated over the domain: 2.228 at time: 0.340\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.340\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.340\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.340\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.340\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.350\n", + "J_n integrated over the domain: 3.678 at time: 0.350\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.350\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.350\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.350\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.350\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.360\n", + "J_n integrated over the domain: 5.652 at time: 0.360\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.360\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.360\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.360\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.360\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.370\n", + "J_n integrated over the domain: 8.024 at time: 0.370\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.370\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.370\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.370\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.370\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.380\n", + "J_n integrated over the domain: 10.646 at time: 0.380\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.380\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.380\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.380\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.380\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.390\n", + "J_n integrated over the domain: 13.354 at time: 0.390\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.390\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.390\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.390\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.390\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.400\n", + "J_n integrated over the domain: 15.976 at time: 0.400\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.400\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.400\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.400\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.400\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.410\n", + "J_n integrated over the domain: 18.348 at time: 0.410\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.410\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.410\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.410\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.410\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.420\n", + "J_n integrated over the domain: 20.322 at time: 0.420\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.420\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.420\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.420\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.420\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.430\n", + "J_n integrated over the domain: 21.772 at time: 0.430\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.430\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.430\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.430\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.430\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.440\n", + "J_n integrated over the domain: 22.609 at time: 0.440\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.440\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.440\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.440\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.440\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.450\n", + "J_n integrated over the domain: 22.779 at time: 0.450\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.450\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.450\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.450\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.450\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.460\n", + "J_n integrated over the domain: 22.271 at time: 0.460\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.460\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.460\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.460\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.460\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.470\n", + "J_n integrated over the domain: 21.119 at time: 0.470\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.470\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.470\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.470\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.470\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.480\n", + "J_n integrated over the domain: 19.393 at time: 0.480\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.480\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.480\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.480\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.480\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.490\n", + "J_n integrated over the domain: 17.203 at time: 0.490\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.490\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.490\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.490\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.490\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 12.000 at time: 0.500\n", + "J_n integrated over the domain: 14.686 at time: 0.500\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.500\n", + "d (def. map) integrated over the domain: 148.000 at time: 0.500\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.500\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.500\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.510\n", + "J_n integrated over the domain: 12.000 at time: 0.510\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.510\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.510\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.510\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.510\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.520\n", + "J_n integrated over the domain: 9.314 at time: 0.520\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.520\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.520\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.520\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.520\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.530\n", + "J_n integrated over the domain: 6.797 at time: 0.530\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.530\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.530\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.530\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.530\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.540\n", + "J_n integrated over the domain: 4.607 at time: 0.540\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.540\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.540\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.540\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.540\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.550\n", + "J_n integrated over the domain: 2.881 at time: 0.550\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.550\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.550\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.550\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.550\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.560\n", + "J_n integrated over the domain: 1.729 at time: 0.560\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.560\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.560\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.560\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.560\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.570\n", + "J_n integrated over the domain: 1.221 at time: 0.570\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.570\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.570\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.570\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.570\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.580\n", + "J_n integrated over the domain: 1.391 at time: 0.580\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.580\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.580\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.580\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.580\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.590\n", + "J_n integrated over the domain: 2.228 at time: 0.590\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.590\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.590\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.590\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.590\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.600\n", + "J_n integrated over the domain: 3.678 at time: 0.600\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.600\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.600\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.600\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.600\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.610\n", + "J_n integrated over the domain: 5.652 at time: 0.610\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.610\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.610\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.610\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.610\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.620\n", + "J_n integrated over the domain: 8.024 at time: 0.620\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.620\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.620\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.620\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.620\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.630\n", + "J_n integrated over the domain: 10.646 at time: 0.630\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.630\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.630\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.630\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.630\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.640\n", + "J_n integrated over the domain: 13.354 at time: 0.640\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.640\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.640\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.640\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.640\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.650\n", + "J_n integrated over the domain: 15.976 at time: 0.650\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.650\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.650\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.650\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.650\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.660\n", + "J_n integrated over the domain: 18.348 at time: 0.660\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.660\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.660\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.660\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.660\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.670\n", + "J_n integrated over the domain: 20.322 at time: 0.670\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.670\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.670\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.670\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.670\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.680\n", + "J_n integrated over the domain: 21.772 at time: 0.680\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.680\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.680\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.680\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.680\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.690\n", + "J_n integrated over the domain: 22.609 at time: 0.690\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.690\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.690\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.690\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.690\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.700\n", + "J_n integrated over the domain: 22.779 at time: 0.700\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.700\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.700\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.700\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.700\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.710\n", + "J_n integrated over the domain: 22.271 at time: 0.710\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.710\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.710\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.710\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.710\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.720\n", + "J_n integrated over the domain: 21.119 at time: 0.720\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.720\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.720\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.720\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.720\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.730\n", + "J_n integrated over the domain: 19.393 at time: 0.730\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.730\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.730\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.730\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.730\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.740\n", + "J_n integrated over the domain: 17.203 at time: 0.740\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.740\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.740\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.740\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.740\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 12.000 at time: 0.750\n", + "J_n integrated over the domain: 14.686 at time: 0.750\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.750\n", + "d (def. map) integrated over the domain: 148.000 at time: 0.750\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.750\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.750\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.760\n", + "J_n integrated over the domain: 12.000 at time: 0.760\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.760\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.760\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.760\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.760\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.770\n", + "J_n integrated over the domain: 9.314 at time: 0.770\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.770\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.770\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.770\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.770\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.780\n", + "J_n integrated over the domain: 6.797 at time: 0.780\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.780\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.780\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.780\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.780\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.790\n", + "J_n integrated over the domain: 4.607 at time: 0.790\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.790\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.790\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.790\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.790\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.800\n", + "J_n integrated over the domain: 2.881 at time: 0.800\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.800\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.800\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.800\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.800\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.810\n", + "J_n integrated over the domain: 1.729 at time: 0.810\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.810\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.810\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.810\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.810\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.820\n", + "J_n integrated over the domain: 1.221 at time: 0.820\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.820\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.820\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.820\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.820\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.830\n", + "J_n integrated over the domain: 1.391 at time: 0.830\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.830\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.830\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.830\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.830\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.840\n", + "J_n integrated over the domain: 2.228 at time: 0.840\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.840\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.840\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.840\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.840\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.850\n", + "J_n integrated over the domain: 3.678 at time: 0.850\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.850\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.850\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.850\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.850\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.860\n", + "J_n integrated over the domain: 5.652 at time: 0.860\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.860\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.860\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.860\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.860\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.870\n", + "J_n integrated over the domain: 8.024 at time: 0.870\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.870\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.870\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.870\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.870\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.880\n", + "J_n integrated over the domain: 10.646 at time: 0.880\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.880\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.880\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.880\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.880\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.890\n", + "J_n integrated over the domain: 13.354 at time: 0.890\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.890\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.890\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.890\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.890\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.900\n", + "J_n integrated over the domain: 15.976 at time: 0.900\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.900\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.900\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.900\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.900\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.910\n", + "J_n integrated over the domain: 18.348 at time: 0.910\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.910\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.910\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.910\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.910\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.920\n", + "J_n integrated over the domain: 20.322 at time: 0.920\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.920\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.920\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.920\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.920\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.930\n", + "J_n integrated over the domain: 21.772 at time: 0.930\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.930\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.930\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.930\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.930\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.940\n", + "J_n integrated over the domain: 22.609 at time: 0.940\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.940\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.940\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.940\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.940\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.950\n", + "J_n integrated over the domain: 22.779 at time: 0.950\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.950\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.950\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.950\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.950\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.960\n", + "J_n integrated over the domain: 22.271 at time: 0.960\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.960\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.960\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.960\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.960\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.970\n", + "J_n integrated over the domain: 21.119 at time: 0.970\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.970\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.970\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.970\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.970\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.980\n", + "J_n integrated over the domain: 19.393 at time: 0.980\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.980\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.980\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.980\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.980\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 14.686 at time: 0.990\n", + "J_n integrated over the domain: 17.203 at time: 0.990\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.990\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.990\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.990\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.990\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.000\n", + "J_n integrated over the domain: 14.686 at time: 1.000\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.000\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.000\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.000\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.000\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.010\n", + "J_n integrated over the domain: 12.000 at time: 1.010\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.010\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.010\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.010\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.010\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.020\n", + "J_n integrated over the domain: 9.314 at time: 1.020\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.020\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.020\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.020\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.020\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.030\n", + "J_n integrated over the domain: 6.797 at time: 1.030\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.030\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.030\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.030\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.030\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.040\n", + "J_n integrated over the domain: 4.607 at time: 1.040\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.040\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.040\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.040\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.040\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.050\n", + "J_n integrated over the domain: 2.881 at time: 1.050\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.050\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.050\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.050\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.050\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.060\n", + "J_n integrated over the domain: 1.729 at time: 1.060\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.060\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.060\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.060\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.060\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.070\n", + "J_n integrated over the domain: 1.221 at time: 1.070\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.070\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.070\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.070\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.070\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.080\n", + "J_n integrated over the domain: 1.391 at time: 1.080\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.080\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.080\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.080\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.080\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.090\n", + "J_n integrated over the domain: 2.228 at time: 1.090\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.090\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.090\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.090\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.090\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.100\n", + "J_n integrated over the domain: 3.678 at time: 1.100\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.100\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.100\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.100\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.100\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.110\n", + "J_n integrated over the domain: 5.652 at time: 1.110\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.110\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.110\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.110\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.110\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.120\n", + "J_n integrated over the domain: 8.024 at time: 1.120\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.120\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.120\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.120\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.120\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.130\n", + "J_n integrated over the domain: 10.646 at time: 1.130\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.130\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.130\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.130\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.130\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.140\n", + "J_n integrated over the domain: 13.354 at time: 1.140\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.140\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.140\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.140\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.140\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.150\n", + "J_n integrated over the domain: 15.976 at time: 1.150\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.150\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.150\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.150\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.150\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.160\n", + "J_n integrated over the domain: 18.348 at time: 1.160\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.160\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.160\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.160\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.160\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.170\n", + "J_n integrated over the domain: 20.322 at time: 1.170\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.170\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.170\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.170\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.170\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.180\n", + "J_n integrated over the domain: 21.772 at time: 1.180\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.180\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.180\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.180\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.180\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.190\n", + "J_n integrated over the domain: 22.609 at time: 1.190\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.190\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.190\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.190\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.190\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.200\n", + "J_n integrated over the domain: 22.779 at time: 1.200\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.200\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.200\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.200\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.200\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.210\n", + "J_n integrated over the domain: 22.271 at time: 1.210\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.210\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.210\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.210\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.210\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.220\n", + "J_n integrated over the domain: 21.119 at time: 1.220\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.220\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.220\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.220\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.220\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 17.203 at time: 1.230\n", + "J_n integrated over the domain: 19.393 at time: 1.230\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.230\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.230\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.230\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.230\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.240\n", + "J_n integrated over the domain: 17.203 at time: 1.240\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.240\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.240\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.240\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.240\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.250\n", + "J_n integrated over the domain: 14.686 at time: 1.250\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.250\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.250\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.250\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.250\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.260\n", + "J_n integrated over the domain: 12.000 at time: 1.260\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.260\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.260\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.260\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.260\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.270\n", + "J_n integrated over the domain: 9.314 at time: 1.270\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.270\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.270\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.270\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.270\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.280\n", + "J_n integrated over the domain: 6.797 at time: 1.280\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.280\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.280\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.280\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.280\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.290\n", + "J_n integrated over the domain: 4.607 at time: 1.290\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.290\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.290\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.290\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.290\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.300\n", + "J_n integrated over the domain: 2.881 at time: 1.300\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.300\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.300\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.300\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.300\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.310\n", + "J_n integrated over the domain: 1.729 at time: 1.310\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.310\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.310\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.310\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.310\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.320\n", + "J_n integrated over the domain: 1.221 at time: 1.320\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.320\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.320\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.320\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.320\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.330\n", + "J_n integrated over the domain: 1.391 at time: 1.330\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.330\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.330\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.330\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.330\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.340\n", + "J_n integrated over the domain: 2.228 at time: 1.340\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.340\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.340\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.340\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.340\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.350\n", + "J_n integrated over the domain: 3.678 at time: 1.350\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.350\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.350\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.350\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.350\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.360\n", + "J_n integrated over the domain: 5.652 at time: 1.360\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.360\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.360\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.360\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.360\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.370\n", + "J_n integrated over the domain: 8.024 at time: 1.370\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.370\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.370\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.370\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.370\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.380\n", + "J_n integrated over the domain: 10.646 at time: 1.380\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.380\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.380\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.380\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.380\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.390\n", + "J_n integrated over the domain: 13.354 at time: 1.390\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.390\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.390\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.390\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.390\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.400\n", + "J_n integrated over the domain: 15.976 at time: 1.400\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.400\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.400\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.400\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.400\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.410\n", + "J_n integrated over the domain: 18.348 at time: 1.410\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.410\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.410\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.410\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.410\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.420\n", + "J_n integrated over the domain: 20.322 at time: 1.420\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.420\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.420\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.420\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.420\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.430\n", + "J_n integrated over the domain: 21.772 at time: 1.430\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.430\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.430\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.430\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.430\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.440\n", + "J_n integrated over the domain: 22.609 at time: 1.440\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.440\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.440\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.440\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.440\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.450\n", + "J_n integrated over the domain: 22.779 at time: 1.450\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.450\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.450\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.450\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.450\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.460\n", + "J_n integrated over the domain: 22.271 at time: 1.460\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.460\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.460\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.460\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.460\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 19.393 at time: 1.470\n", + "J_n integrated over the domain: 21.119 at time: 1.470\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.470\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.470\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.470\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.470\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.480\n", + "J_n integrated over the domain: 19.393 at time: 1.480\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.480\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.480\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.480\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.480\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.490\n", + "J_n integrated over the domain: 17.203 at time: 1.490\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.490\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.490\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.490\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.490\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.500\n", + "J_n integrated over the domain: 14.686 at time: 1.500\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.500\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.500\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.500\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.500\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.510\n", + "J_n integrated over the domain: 12.000 at time: 1.510\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.510\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.510\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.510\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.510\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.520\n", + "J_n integrated over the domain: 9.314 at time: 1.520\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.520\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.520\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.520\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.520\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.530\n", + "J_n integrated over the domain: 6.797 at time: 1.530\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.530\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.530\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.530\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.530\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.540\n", + "J_n integrated over the domain: 4.607 at time: 1.540\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.540\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.540\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.540\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.540\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.550\n", + "J_n integrated over the domain: 2.881 at time: 1.550\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.550\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.550\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.550\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.550\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.560\n", + "J_n integrated over the domain: 1.729 at time: 1.560\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.560\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.560\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.560\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.560\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.570\n", + "J_n integrated over the domain: 1.221 at time: 1.570\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.570\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.570\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.570\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.570\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.580\n", + "J_n integrated over the domain: 1.391 at time: 1.580\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.580\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.580\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.580\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.580\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.590\n", + "J_n integrated over the domain: 2.228 at time: 1.590\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.590\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.590\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.590\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.590\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.600\n", + "J_n integrated over the domain: 3.678 at time: 1.600\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.600\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.600\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.600\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.600\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.610\n", + "J_n integrated over the domain: 5.652 at time: 1.610\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.610\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.610\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.610\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.610\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.620\n", + "J_n integrated over the domain: 8.024 at time: 1.620\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.620\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.620\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.620\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.620\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.630\n", + "J_n integrated over the domain: 10.646 at time: 1.630\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.630\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.630\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.630\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.630\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.640\n", + "J_n integrated over the domain: 13.354 at time: 1.640\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.640\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.640\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.640\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.640\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.650\n", + "J_n integrated over the domain: 15.976 at time: 1.650\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.650\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.650\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.650\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.650\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.660\n", + "J_n integrated over the domain: 18.348 at time: 1.660\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.660\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.660\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.660\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.660\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.670\n", + "J_n integrated over the domain: 20.322 at time: 1.670\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.670\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.670\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.670\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.670\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.680\n", + "J_n integrated over the domain: 21.772 at time: 1.680\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.680\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.680\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.680\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.680\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.690\n", + "J_n integrated over the domain: 22.609 at time: 1.690\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.690\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.690\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.690\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.690\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.700\n", + "J_n integrated over the domain: 22.779 at time: 1.700\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.700\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.700\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.700\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.700\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.710\n", + "J_n integrated over the domain: 22.271 at time: 1.710\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.710\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.710\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.710\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.710\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 19.393 at time: 1.720\n", + "J_n integrated over the domain: 21.119 at time: 1.720\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.720\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.720\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.720\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.720\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.730\n", + "J_n integrated over the domain: 19.393 at time: 1.730\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.730\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.730\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.730\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.730\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.740\n", + "J_n integrated over the domain: 17.203 at time: 1.740\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.740\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.740\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.740\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.740\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.750\n", + "J_n integrated over the domain: 14.686 at time: 1.750\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.750\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.750\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.750\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.750\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.760\n", + "J_n integrated over the domain: 12.000 at time: 1.760\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.760\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.760\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.760\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.760\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.770\n", + "J_n integrated over the domain: 9.314 at time: 1.770\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.770\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.770\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.770\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.770\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.780\n", + "J_n integrated over the domain: 6.797 at time: 1.780\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.780\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.780\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.780\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.780\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.790\n", + "J_n integrated over the domain: 4.607 at time: 1.790\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.790\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.790\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.790\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.790\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.800\n", + "J_n integrated over the domain: 2.881 at time: 1.800\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.800\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.800\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.800\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.800\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.810\n", + "J_n integrated over the domain: 1.729 at time: 1.810\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.810\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.810\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.810\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.810\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.820\n", + "J_n integrated over the domain: 1.221 at time: 1.820\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.820\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.820\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.820\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.820\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.830\n", + "J_n integrated over the domain: 1.391 at time: 1.830\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.830\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.830\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.830\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.830\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.840\n", + "J_n integrated over the domain: 2.228 at time: 1.840\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.840\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.840\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.840\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.840\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.850\n", + "J_n integrated over the domain: 3.678 at time: 1.850\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.850\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.850\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.850\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.850\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.860\n", + "J_n integrated over the domain: 5.652 at time: 1.860\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.860\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.860\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.860\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.860\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.870\n", + "J_n integrated over the domain: 8.024 at time: 1.870\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.870\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.870\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.870\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.870\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.880\n", + "J_n integrated over the domain: 10.646 at time: 1.880\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.880\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.880\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.880\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.880\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.890\n", + "J_n integrated over the domain: 13.354 at time: 1.890\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.890\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.890\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.890\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.890\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.900\n", + "J_n integrated over the domain: 15.976 at time: 1.900\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.900\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.900\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.900\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.900\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.910\n", + "J_n integrated over the domain: 18.348 at time: 1.910\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.910\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.910\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.910\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.910\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.920\n", + "J_n integrated over the domain: 20.322 at time: 1.920\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.920\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.920\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.920\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.920\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.930\n", + "J_n integrated over the domain: 21.772 at time: 1.930\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.930\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.930\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.930\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.930\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.940\n", + "J_n integrated over the domain: 22.609 at time: 1.940\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.940\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.940\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.940\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.940\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.950\n", + "J_n integrated over the domain: 22.779 at time: 1.950\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.950\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.950\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.950\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.950\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 21.119 at time: 1.960\n", + "J_n integrated over the domain: 22.271 at time: 1.960\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.960\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.960\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.960\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.960\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.970\n", + "J_n integrated over the domain: 21.119 at time: 1.970\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.970\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.970\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.970\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.970\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.980\n", + "J_n integrated over the domain: 19.393 at time: 1.980\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.980\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.980\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.980\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.980\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.990\n", + "J_n integrated over the domain: 17.203 at time: 1.990\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.990\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.990\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.990\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.990\n", + "\n", + "J integrated over the domain: 12.000 at time: 2.000\n", + "J_n integrated over the domain: 14.686 at time: 2.000\n", + "Well-posedness condition 3J - J_n > 0: True at time 2.000\n", + "d (def. map) integrated over the domain: 148.000 at time: 2.000\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 2.000\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 2.000\n", + "\n", + "DoF for Velocity Space (U): 3298\n", + "DoF for Pressure Space (P): 1649\n", + "Solution Computed in 36.944 seconds\n", + "\n", + "----------------Computation Completed!----------------\n", + "\n", + "\n", + "----------------Simulations Done!----------------.\n", + "\n", + "Initializing testing of two deformation cases with input parameters:\n", + " Solver to use -solver_to_use- : LU\n", + " GCL-stabilization term -gcl_stab- : True\n", + " Evaluation of jacobian at n in time-derivate term -jac_at_n- : True\n", + " \n", + "\n", + "Initializing iNSE problem with Deformation type: High_Osc_exp\n", + "\n", + "\n", + "Setup with initial condition: True\n", + "Using a non-zero initial condition (2D-Gaussian) for the velocity field!\n", + "Using time-derivative term approximated with Jacobian at n...\n", + "Using LU Solver...\n", + "Starting iteration over time...\n", + "E (Energy) of initial velocity field: 0.01659 at time 0.000\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.010\n", + "J_n integrated over the domain: 12.000 at time: 0.010\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.010\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.010\n", + "Strain energy E( eps(|u|^2) ): 0.00013 at time 0.010\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.010\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.020\n", + "J_n integrated over the domain: 14.686 at time: 0.020\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.020\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.020\n", + "Strain energy E( eps(|u|^2) ): 0.00010 at time 0.020\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.020\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.030\n", + "J_n integrated over the domain: 17.203 at time: 0.030\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.030\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.030\n", + "Strain energy E( eps(|u|^2) ): 0.00008 at time 0.030\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.030\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.040\n", + "J_n integrated over the domain: 19.393 at time: 0.040\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.040\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.040\n", + "Strain energy E( eps(|u|^2) ): 0.00006 at time 0.040\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.040\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.050\n", + "J_n integrated over the domain: 21.119 at time: 0.050\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.050\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.050\n", + "Strain energy E( eps(|u|^2) ): 0.00006 at time 0.050\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.050\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.060\n", + "J_n integrated over the domain: 22.271 at time: 0.060\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.060\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.060\n", + "Strain energy E( eps(|u|^2) ): 0.00005 at time 0.060\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.060\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.070\n", + "J_n integrated over the domain: 22.779 at time: 0.070\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.070\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.070\n", + "Strain energy E( eps(|u|^2) ): 0.00005 at time 0.070\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.070\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.080\n", + "J_n integrated over the domain: 22.609 at time: 0.080\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.080\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.080\n", + "Strain energy E( eps(|u|^2) ): 0.00004 at time 0.080\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.080\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.090\n", + "J_n integrated over the domain: 21.772 at time: 0.090\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.090\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.090\n", + "Strain energy E( eps(|u|^2) ): 0.00004 at time 0.090\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.090\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.100\n", + "J_n integrated over the domain: 20.322 at time: 0.100\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.100\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.100\n", + "Strain energy E( eps(|u|^2) ): 0.00004 at time 0.100\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.100\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.110\n", + "J_n integrated over the domain: 18.348 at time: 0.110\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.110\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.110\n", + "Strain energy E( eps(|u|^2) ): 0.00004 at time 0.110\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.110\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.120\n", + "J_n integrated over the domain: 15.976 at time: 0.120\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.120\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.120\n", + "Strain energy E( eps(|u|^2) ): 0.00005 at time 0.120\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.120\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.130\n", + "J_n integrated over the domain: 13.354 at time: 0.130\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.130\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.130\n", + "Strain energy E( eps(|u|^2) ): 0.00012 at time 0.130\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.130\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.140\n", + "J_n integrated over the domain: 10.646 at time: 0.140\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.140\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.140\n", + "Strain energy E( eps(|u|^2) ): 0.00023 at time 0.140\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.140\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.150\n", + "J_n integrated over the domain: 8.024 at time: 0.150\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.150\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.150\n", + "Strain energy E( eps(|u|^2) ): 0.00030 at time 0.150\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.150\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.160\n", + "J_n integrated over the domain: 5.652 at time: 0.160\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.160\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.160\n", + "Strain energy E( eps(|u|^2) ): 0.00025 at time 0.160\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.160\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.170\n", + "J_n integrated over the domain: 3.678 at time: 0.170\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.170\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.170\n", + "Strain energy E( eps(|u|^2) ): 0.00012 at time 0.170\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.170\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 1.391 at time: 0.180\n", + "J_n integrated over the domain: 2.228 at time: 0.180\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.180\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.180\n", + "Strain energy E( eps(|u|^2) ): 0.00004 at time 0.180\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.180\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.190\n", + "J_n integrated over the domain: 1.391 at time: 0.190\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.190\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.190\n", + "Strain energy E( eps(|u|^2) ): 0.00001 at time 0.190\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.190\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.200\n", + "J_n integrated over the domain: 1.221 at time: 0.200\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.200\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.200\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.200\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.200\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.210\n", + "J_n integrated over the domain: 1.729 at time: 0.210\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.210\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.210\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.210\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.210\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.220\n", + "J_n integrated over the domain: 2.881 at time: 0.220\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.220\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.220\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.220\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.220\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.230\n", + "J_n integrated over the domain: 4.607 at time: 0.230\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.230\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.230\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.230\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.230\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.240\n", + "J_n integrated over the domain: 6.797 at time: 0.240\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.240\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.240\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.240\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.240\n", + "\n", + "J integrated over the domain: 12.000 at time: 0.250\n", + "J_n integrated over the domain: 9.314 at time: 0.250\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.250\n", + "d (def. map) integrated over the domain: 148.000 at time: 0.250\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.250\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.250\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.260\n", + "J_n integrated over the domain: 12.000 at time: 0.260\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.260\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.260\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.260\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.260\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.270\n", + "J_n integrated over the domain: 14.686 at time: 0.270\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.270\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.270\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.270\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.270\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.280\n", + "J_n integrated over the domain: 17.203 at time: 0.280\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.280\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.280\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.280\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.280\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.290\n", + "J_n integrated over the domain: 19.393 at time: 0.290\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.290\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.290\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.290\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.290\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.300\n", + "J_n integrated over the domain: 21.119 at time: 0.300\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.300\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.300\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.300\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.300\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.310\n", + "J_n integrated over the domain: 22.271 at time: 0.310\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.310\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.310\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.310\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.310\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.320\n", + "J_n integrated over the domain: 22.779 at time: 0.320\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.320\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.320\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.320\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.320\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.330\n", + "J_n integrated over the domain: 22.609 at time: 0.330\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.330\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.330\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.330\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.330\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.340\n", + "J_n integrated over the domain: 21.772 at time: 0.340\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.340\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.340\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.340\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.340\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.350\n", + "J_n integrated over the domain: 20.322 at time: 0.350\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.350\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.350\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.350\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.350\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.360\n", + "J_n integrated over the domain: 18.348 at time: 0.360\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.360\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.360\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.360\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.360\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.370\n", + "J_n integrated over the domain: 15.976 at time: 0.370\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.370\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.370\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.370\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.370\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.380\n", + "J_n integrated over the domain: 13.354 at time: 0.380\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.380\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.380\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.380\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.380\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.390\n", + "J_n integrated over the domain: 10.646 at time: 0.390\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.390\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.390\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.390\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.390\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.400\n", + "J_n integrated over the domain: 8.024 at time: 0.400\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.400\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.400\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.400\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.400\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.410\n", + "J_n integrated over the domain: 5.652 at time: 0.410\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.410\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.410\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.410\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.410\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 2.228 at time: 0.420\n", + "J_n integrated over the domain: 3.678 at time: 0.420\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.420\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.420\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.420\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.420\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.430\n", + "J_n integrated over the domain: 2.228 at time: 0.430\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.430\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.430\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.430\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.430\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.440\n", + "J_n integrated over the domain: 1.391 at time: 0.440\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.440\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.440\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.440\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.440\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.450\n", + "J_n integrated over the domain: 1.221 at time: 0.450\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.450\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.450\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.450\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.450\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.460\n", + "J_n integrated over the domain: 1.729 at time: 0.460\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.460\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.460\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.460\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.460\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.470\n", + "J_n integrated over the domain: 2.881 at time: 0.470\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.470\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.470\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.470\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.470\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.480\n", + "J_n integrated over the domain: 4.607 at time: 0.480\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.480\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.480\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.480\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.480\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.490\n", + "J_n integrated over the domain: 6.797 at time: 0.490\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.490\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.490\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.490\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.490\n", + "\n", + "J integrated over the domain: 12.000 at time: 0.500\n", + "J_n integrated over the domain: 9.314 at time: 0.500\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.500\n", + "d (def. map) integrated over the domain: 148.000 at time: 0.500\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.500\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.500\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.510\n", + "J_n integrated over the domain: 12.000 at time: 0.510\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.510\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.510\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.510\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.510\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.520\n", + "J_n integrated over the domain: 14.686 at time: 0.520\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.520\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.520\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.520\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.520\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.530\n", + "J_n integrated over the domain: 17.203 at time: 0.530\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.530\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.530\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.530\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.530\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.540\n", + "J_n integrated over the domain: 19.393 at time: 0.540\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.540\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.540\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.540\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.540\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.550\n", + "J_n integrated over the domain: 21.119 at time: 0.550\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.550\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.550\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.550\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.550\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.560\n", + "J_n integrated over the domain: 22.271 at time: 0.560\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.560\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.560\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.560\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.560\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.570\n", + "J_n integrated over the domain: 22.779 at time: 0.570\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.570\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.570\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.570\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.570\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.580\n", + "J_n integrated over the domain: 22.609 at time: 0.580\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.580\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.580\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.580\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.580\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.590\n", + "J_n integrated over the domain: 21.772 at time: 0.590\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.590\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.590\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.590\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.590\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.600\n", + "J_n integrated over the domain: 20.322 at time: 0.600\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.600\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.600\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.600\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.600\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.610\n", + "J_n integrated over the domain: 18.348 at time: 0.610\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.610\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.610\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.610\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.610\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.620\n", + "J_n integrated over the domain: 15.976 at time: 0.620\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.620\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.620\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.620\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.620\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.630\n", + "J_n integrated over the domain: 13.354 at time: 0.630\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.630\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.630\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.630\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.630\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.640\n", + "J_n integrated over the domain: 10.646 at time: 0.640\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.640\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.640\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.640\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.640\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.650\n", + "J_n integrated over the domain: 8.024 at time: 0.650\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.650\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.650\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.650\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.650\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 3.678 at time: 0.660\n", + "J_n integrated over the domain: 5.652 at time: 0.660\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.660\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.660\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.660\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.660\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.670\n", + "J_n integrated over the domain: 3.678 at time: 0.670\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.670\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.670\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.670\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.670\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.680\n", + "J_n integrated over the domain: 2.228 at time: 0.680\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.680\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.680\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.680\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.680\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.690\n", + "J_n integrated over the domain: 1.391 at time: 0.690\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.690\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.690\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.690\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.690\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.700\n", + "J_n integrated over the domain: 1.221 at time: 0.700\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.700\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.700\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.700\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.700\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.710\n", + "J_n integrated over the domain: 1.729 at time: 0.710\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.710\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.710\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.710\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.710\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.720\n", + "J_n integrated over the domain: 2.881 at time: 0.720\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.720\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.720\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.720\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.720\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.730\n", + "J_n integrated over the domain: 4.607 at time: 0.730\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.730\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.730\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.730\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.730\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.740\n", + "J_n integrated over the domain: 6.797 at time: 0.740\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.740\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.740\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.740\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.740\n", + "\n", + "J integrated over the domain: 12.000 at time: 0.750\n", + "J_n integrated over the domain: 9.314 at time: 0.750\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.750\n", + "d (def. map) integrated over the domain: 148.000 at time: 0.750\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.750\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.750\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.760\n", + "J_n integrated over the domain: 12.000 at time: 0.760\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.760\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.760\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.760\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.760\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.770\n", + "J_n integrated over the domain: 14.686 at time: 0.770\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.770\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.770\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.770\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.770\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.780\n", + "J_n integrated over the domain: 17.203 at time: 0.780\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.780\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.780\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.780\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.780\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.790\n", + "J_n integrated over the domain: 19.393 at time: 0.790\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.790\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.790\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.790\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.790\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.800\n", + "J_n integrated over the domain: 21.119 at time: 0.800\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.800\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.800\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.800\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.800\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.810\n", + "J_n integrated over the domain: 22.271 at time: 0.810\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.810\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.810\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.810\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.810\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.820\n", + "J_n integrated over the domain: 22.779 at time: 0.820\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.820\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.820\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.820\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.820\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.830\n", + "J_n integrated over the domain: 22.609 at time: 0.830\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.830\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.830\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.830\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.830\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.840\n", + "J_n integrated over the domain: 21.772 at time: 0.840\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.840\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.840\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.840\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.840\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.850\n", + "J_n integrated over the domain: 20.322 at time: 0.850\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.850\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.850\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.850\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.850\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.860\n", + "J_n integrated over the domain: 18.348 at time: 0.860\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.860\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.860\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.860\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.860\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.870\n", + "J_n integrated over the domain: 15.976 at time: 0.870\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.870\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.870\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.870\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.870\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.880\n", + "J_n integrated over the domain: 13.354 at time: 0.880\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.880\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.880\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.880\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.880\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.890\n", + "J_n integrated over the domain: 10.646 at time: 0.890\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.890\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.890\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.890\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.890\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 5.652 at time: 0.900\n", + "J_n integrated over the domain: 8.024 at time: 0.900\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.900\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.900\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.900\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.900\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.910\n", + "J_n integrated over the domain: 5.652 at time: 0.910\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.910\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.910\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.910\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.910\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.920\n", + "J_n integrated over the domain: 3.678 at time: 0.920\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.920\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.920\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.920\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.920\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.930\n", + "J_n integrated over the domain: 2.228 at time: 0.930\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.930\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.930\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.930\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.930\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.940\n", + "J_n integrated over the domain: 1.391 at time: 0.940\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.940\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.940\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.940\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.940\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.950\n", + "J_n integrated over the domain: 1.221 at time: 0.950\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.950\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.950\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.950\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.950\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.960\n", + "J_n integrated over the domain: 1.729 at time: 0.960\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.960\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.960\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.960\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.960\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.970\n", + "J_n integrated over the domain: 2.881 at time: 0.970\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.970\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.970\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.970\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.970\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.980\n", + "J_n integrated over the domain: 4.607 at time: 0.980\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.980\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.980\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.980\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.980\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.990\n", + "J_n integrated over the domain: 6.797 at time: 0.990\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.990\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.990\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.990\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.990\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.000\n", + "J_n integrated over the domain: 9.314 at time: 1.000\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.000\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.000\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.000\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.000\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.010\n", + "J_n integrated over the domain: 12.000 at time: 1.010\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.010\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.010\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.010\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.010\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.020\n", + "J_n integrated over the domain: 14.686 at time: 1.020\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.020\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.020\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.020\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.020\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.030\n", + "J_n integrated over the domain: 17.203 at time: 1.030\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.030\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.030\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.030\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.030\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.040\n", + "J_n integrated over the domain: 19.393 at time: 1.040\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.040\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.040\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.040\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.040\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.050\n", + "J_n integrated over the domain: 21.119 at time: 1.050\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.050\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.050\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.050\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.050\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.060\n", + "J_n integrated over the domain: 22.271 at time: 1.060\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.060\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.060\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.060\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.060\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.070\n", + "J_n integrated over the domain: 22.779 at time: 1.070\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.070\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.070\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.070\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.070\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.080\n", + "J_n integrated over the domain: 22.609 at time: 1.080\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.080\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.080\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.080\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.080\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.090\n", + "J_n integrated over the domain: 21.772 at time: 1.090\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.090\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.090\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.090\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.090\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.100\n", + "J_n integrated over the domain: 20.322 at time: 1.100\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.100\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.100\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.100\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.100\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.110\n", + "J_n integrated over the domain: 18.348 at time: 1.110\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.110\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.110\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.110\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.110\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.120\n", + "J_n integrated over the domain: 15.976 at time: 1.120\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.120\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.120\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.120\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.120\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.130\n", + "J_n integrated over the domain: 13.354 at time: 1.130\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.130\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.130\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.130\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.130\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 8.024 at time: 1.140\n", + "J_n integrated over the domain: 10.646 at time: 1.140\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.140\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.140\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.140\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.140\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.150\n", + "J_n integrated over the domain: 8.024 at time: 1.150\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.150\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.150\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.150\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.150\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.160\n", + "J_n integrated over the domain: 5.652 at time: 1.160\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.160\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.160\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.160\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.160\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.170\n", + "J_n integrated over the domain: 3.678 at time: 1.170\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.170\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.170\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.170\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.170\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.180\n", + "J_n integrated over the domain: 2.228 at time: 1.180\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.180\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.180\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.180\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.180\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.190\n", + "J_n integrated over the domain: 1.391 at time: 1.190\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.190\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.190\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.190\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.190\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.200\n", + "J_n integrated over the domain: 1.221 at time: 1.200\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.200\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.200\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.200\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.200\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.210\n", + "J_n integrated over the domain: 1.729 at time: 1.210\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.210\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.210\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.210\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.210\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.220\n", + "J_n integrated over the domain: 2.881 at time: 1.220\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.220\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.220\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.220\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.220\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.230\n", + "J_n integrated over the domain: 4.607 at time: 1.230\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.230\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.230\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.230\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.230\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.240\n", + "J_n integrated over the domain: 6.797 at time: 1.240\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.240\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.240\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.240\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.240\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.250\n", + "J_n integrated over the domain: 9.314 at time: 1.250\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.250\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.250\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.250\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.250\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.260\n", + "J_n integrated over the domain: 12.000 at time: 1.260\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.260\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.260\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.260\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.260\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.270\n", + "J_n integrated over the domain: 14.686 at time: 1.270\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.270\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.270\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.270\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.270\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.280\n", + "J_n integrated over the domain: 17.203 at time: 1.280\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.280\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.280\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.280\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.280\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.290\n", + "J_n integrated over the domain: 19.393 at time: 1.290\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.290\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.290\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.290\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.290\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.300\n", + "J_n integrated over the domain: 21.119 at time: 1.300\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.300\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.300\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.300\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.300\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.310\n", + "J_n integrated over the domain: 22.271 at time: 1.310\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.310\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.310\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.310\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.310\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.320\n", + "J_n integrated over the domain: 22.779 at time: 1.320\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.320\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.320\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.320\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.320\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.330\n", + "J_n integrated over the domain: 22.609 at time: 1.330\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.330\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.330\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.330\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.330\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.340\n", + "J_n integrated over the domain: 21.772 at time: 1.340\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.340\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.340\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.340\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.340\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.350\n", + "J_n integrated over the domain: 20.322 at time: 1.350\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.350\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.350\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.350\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.350\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.360\n", + "J_n integrated over the domain: 18.348 at time: 1.360\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.360\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.360\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.360\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.360\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.370\n", + "J_n integrated over the domain: 15.976 at time: 1.370\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.370\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.370\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.370\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.370\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 10.646 at time: 1.380\n", + "J_n integrated over the domain: 13.354 at time: 1.380\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.380\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.380\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.380\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.380\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.390\n", + "J_n integrated over the domain: 10.646 at time: 1.390\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.390\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.390\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.390\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.390\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.400\n", + "J_n integrated over the domain: 8.024 at time: 1.400\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.400\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.400\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.400\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.400\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.410\n", + "J_n integrated over the domain: 5.652 at time: 1.410\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.410\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.410\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.410\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.410\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.420\n", + "J_n integrated over the domain: 3.678 at time: 1.420\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.420\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.420\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.420\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.420\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.430\n", + "J_n integrated over the domain: 2.228 at time: 1.430\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.430\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.430\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.430\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.430\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.440\n", + "J_n integrated over the domain: 1.391 at time: 1.440\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.440\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.440\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.440\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.440\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.450\n", + "J_n integrated over the domain: 1.221 at time: 1.450\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.450\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.450\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.450\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.450\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.460\n", + "J_n integrated over the domain: 1.729 at time: 1.460\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.460\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.460\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.460\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.460\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.470\n", + "J_n integrated over the domain: 2.881 at time: 1.470\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.470\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.470\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.470\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.470\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.480\n", + "J_n integrated over the domain: 4.607 at time: 1.480\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.480\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.480\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.480\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.480\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.490\n", + "J_n integrated over the domain: 6.797 at time: 1.490\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.490\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.490\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.490\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.490\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.500\n", + "J_n integrated over the domain: 9.314 at time: 1.500\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.500\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.500\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.500\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.500\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.510\n", + "J_n integrated over the domain: 12.000 at time: 1.510\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.510\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.510\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.510\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.510\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.520\n", + "J_n integrated over the domain: 14.686 at time: 1.520\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.520\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.520\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.520\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.520\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.530\n", + "J_n integrated over the domain: 17.203 at time: 1.530\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.530\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.530\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.530\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.530\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.540\n", + "J_n integrated over the domain: 19.393 at time: 1.540\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.540\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.540\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.540\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.540\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.550\n", + "J_n integrated over the domain: 21.119 at time: 1.550\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.550\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.550\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.550\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.550\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.560\n", + "J_n integrated over the domain: 22.271 at time: 1.560\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.560\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.560\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.560\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.560\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.570\n", + "J_n integrated over the domain: 22.779 at time: 1.570\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.570\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.570\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.570\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.570\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.580\n", + "J_n integrated over the domain: 22.609 at time: 1.580\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.580\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.580\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.580\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.580\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.590\n", + "J_n integrated over the domain: 21.772 at time: 1.590\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.590\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.590\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.590\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.590\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.600\n", + "J_n integrated over the domain: 20.322 at time: 1.600\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.600\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.600\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.600\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.600\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.610\n", + "J_n integrated over the domain: 18.348 at time: 1.610\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.610\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.610\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.610\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.610\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 13.354 at time: 1.620\n", + "J_n integrated over the domain: 15.976 at time: 1.620\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.620\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.620\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.620\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.620\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.630\n", + "J_n integrated over the domain: 13.354 at time: 1.630\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.630\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.630\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.630\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.630\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.640\n", + "J_n integrated over the domain: 10.646 at time: 1.640\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.640\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.640\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.640\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.640\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.650\n", + "J_n integrated over the domain: 8.024 at time: 1.650\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.650\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.650\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.650\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.650\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.660\n", + "J_n integrated over the domain: 5.652 at time: 1.660\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.660\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.660\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.660\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.660\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.670\n", + "J_n integrated over the domain: 3.678 at time: 1.670\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.670\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.670\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.670\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.670\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.680\n", + "J_n integrated over the domain: 2.228 at time: 1.680\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.680\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.680\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.680\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.680\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.690\n", + "J_n integrated over the domain: 1.391 at time: 1.690\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.690\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.690\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.690\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.690\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.700\n", + "J_n integrated over the domain: 1.221 at time: 1.700\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.700\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.700\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.700\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.700\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.710\n", + "J_n integrated over the domain: 1.729 at time: 1.710\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.710\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.710\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.710\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.710\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.720\n", + "J_n integrated over the domain: 2.881 at time: 1.720\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.720\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.720\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.720\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.720\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.730\n", + "J_n integrated over the domain: 4.607 at time: 1.730\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.730\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.730\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.730\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.730\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.740\n", + "J_n integrated over the domain: 6.797 at time: 1.740\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.740\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.740\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.740\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.740\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.750\n", + "J_n integrated over the domain: 9.314 at time: 1.750\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.750\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.750\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.750\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.750\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.760\n", + "J_n integrated over the domain: 12.000 at time: 1.760\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.760\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.760\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.760\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.760\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.770\n", + "J_n integrated over the domain: 14.686 at time: 1.770\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.770\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.770\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.770\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.770\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.780\n", + "J_n integrated over the domain: 17.203 at time: 1.780\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.780\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.780\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.780\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.780\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.790\n", + "J_n integrated over the domain: 19.393 at time: 1.790\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.790\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.790\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.790\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.790\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.800\n", + "J_n integrated over the domain: 21.119 at time: 1.800\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.800\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.800\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.800\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.800\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.810\n", + "J_n integrated over the domain: 22.271 at time: 1.810\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.810\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.810\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.810\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.810\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.820\n", + "J_n integrated over the domain: 22.779 at time: 1.820\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.820\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.820\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.820\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.820\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.830\n", + "J_n integrated over the domain: 22.609 at time: 1.830\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.830\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.830\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.830\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.830\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.840\n", + "J_n integrated over the domain: 21.772 at time: 1.840\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.840\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.840\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.840\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.840\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.850\n", + "J_n integrated over the domain: 20.322 at time: 1.850\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.850\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.850\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.850\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.850\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 15.976 at time: 1.860\n", + "J_n integrated over the domain: 18.348 at time: 1.860\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.860\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.860\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.860\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.860\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.870\n", + "J_n integrated over the domain: 15.976 at time: 1.870\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.870\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.870\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.870\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.870\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.880\n", + "J_n integrated over the domain: 13.354 at time: 1.880\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.880\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.880\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.880\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.880\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.890\n", + "J_n integrated over the domain: 10.646 at time: 1.890\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.890\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.890\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.890\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.890\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.900\n", + "J_n integrated over the domain: 8.024 at time: 1.900\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.900\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.900\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.900\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.900\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.910\n", + "J_n integrated over the domain: 5.652 at time: 1.910\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.910\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.910\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.910\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.910\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.920\n", + "J_n integrated over the domain: 3.678 at time: 1.920\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.920\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.920\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.920\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.920\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.930\n", + "J_n integrated over the domain: 2.228 at time: 1.930\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.930\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.930\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.930\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.930\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.940\n", + "J_n integrated over the domain: 1.391 at time: 1.940\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.940\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.940\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.940\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.940\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.950\n", + "J_n integrated over the domain: 1.221 at time: 1.950\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.950\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.950\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.950\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.950\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.960\n", + "J_n integrated over the domain: 1.729 at time: 1.960\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.960\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.960\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.960\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.960\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.970\n", + "J_n integrated over the domain: 2.881 at time: 1.970\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.970\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.970\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.970\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.970\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.980\n", + "J_n integrated over the domain: 4.607 at time: 1.980\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.980\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.980\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.980\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.980\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.990\n", + "J_n integrated over the domain: 6.797 at time: 1.990\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.990\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.990\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.990\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.990\n", + "\n", + "J integrated over the domain: 12.000 at time: 2.000\n", + "J_n integrated over the domain: 9.314 at time: 2.000\n", + "Well-posedness condition 3J - J_n > 0: True at time 2.000\n", + "d (def. map) integrated over the domain: 148.000 at time: 2.000\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 2.000\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 2.000\n", + "\n", + "Number of degrees of freedom: 14387\n", + "Solution Computed in 103.99 seconds\n", + "\n", + "----------------Computation Completed!----------------\n", + "\n", + "\n", + "Initializing iNSE problem with Deformation type: High_Osc_con\n", + "\n", + "\n", + "Setup with initial condition: True\n", + "Using a non-zero initial condition (2D-Gaussian) for the velocity field!\n", + "Using time-derivative term approximated with Jacobian at n...\n", + "Using LU Solver...\n", + "Starting iteration over time...\n", + "E (Energy) of initial velocity field: 0.01659 at time 0.000\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.010\n", + "J_n integrated over the domain: 12.000 at time: 0.010\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.010\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.010\n", + "Strain energy E( eps(|u|^2) ): 0.00045 at time 0.010\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.010\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.020\n", + "J_n integrated over the domain: 9.314 at time: 0.020\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.020\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.020\n", + "Strain energy E( eps(|u|^2) ): 0.00068 at time 0.020\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.020\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.030\n", + "J_n integrated over the domain: 6.797 at time: 0.030\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.030\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.030\n", + "Strain energy E( eps(|u|^2) ): 0.00058 at time 0.030\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.030\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.040\n", + "J_n integrated over the domain: 4.607 at time: 0.040\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.040\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.040\n", + "Strain energy E( eps(|u|^2) ): 0.00030 at time 0.040\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.040\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.050\n", + "J_n integrated over the domain: 2.881 at time: 0.050\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.050\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.050\n", + "Strain energy E( eps(|u|^2) ): 0.00010 at time 0.050\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.050\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.060\n", + "J_n integrated over the domain: 1.729 at time: 0.060\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.060\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.060\n", + "Strain energy E( eps(|u|^2) ): 0.00002 at time 0.060\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.060\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.070\n", + "J_n integrated over the domain: 1.221 at time: 0.070\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.070\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.070\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.070\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.070\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.080\n", + "J_n integrated over the domain: 1.391 at time: 0.080\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.080\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.080\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.080\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.080\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 3.678 at time: 0.090\n", + "J_n integrated over the domain: 2.228 at time: 0.090\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.090\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.090\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.090\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.090\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.100\n", + "J_n integrated over the domain: 3.678 at time: 0.100\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.100\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.100\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.100\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.100\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.110\n", + "J_n integrated over the domain: 5.652 at time: 0.110\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.110\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.110\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.110\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.110\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.120\n", + "J_n integrated over the domain: 8.024 at time: 0.120\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.120\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.120\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.120\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.120\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.130\n", + "J_n integrated over the domain: 10.646 at time: 0.130\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.130\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.130\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.130\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.130\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.140\n", + "J_n integrated over the domain: 13.354 at time: 0.140\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.140\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.140\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.140\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.140\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.150\n", + "J_n integrated over the domain: 15.976 at time: 0.150\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.150\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.150\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.150\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.150\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.160\n", + "J_n integrated over the domain: 18.348 at time: 0.160\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.160\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.160\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.160\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.160\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.170\n", + "J_n integrated over the domain: 20.322 at time: 0.170\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.170\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.170\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.170\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.170\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.180\n", + "J_n integrated over the domain: 21.772 at time: 0.180\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.180\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.180\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.180\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.180\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.190\n", + "J_n integrated over the domain: 22.609 at time: 0.190\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.190\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.190\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.190\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.190\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.200\n", + "J_n integrated over the domain: 22.779 at time: 0.200\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.200\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.200\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.200\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.200\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.210\n", + "J_n integrated over the domain: 22.271 at time: 0.210\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.210\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.210\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.210\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.210\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.220\n", + "J_n integrated over the domain: 21.119 at time: 0.220\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.220\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.220\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.220\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.220\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.230\n", + "J_n integrated over the domain: 19.393 at time: 0.230\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.230\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.230\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.230\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.230\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.240\n", + "J_n integrated over the domain: 17.203 at time: 0.240\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.240\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.240\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.240\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.240\n", + "\n", + "J integrated over the domain: 12.000 at time: 0.250\n", + "J_n integrated over the domain: 14.686 at time: 0.250\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.250\n", + "d (def. map) integrated over the domain: 148.000 at time: 0.250\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.250\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.250\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.260\n", + "J_n integrated over the domain: 12.000 at time: 0.260\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.260\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.260\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.260\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.260\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.270\n", + "J_n integrated over the domain: 9.314 at time: 0.270\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.270\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.270\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.270\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.270\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.280\n", + "J_n integrated over the domain: 6.797 at time: 0.280\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.280\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.280\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.280\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.280\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.290\n", + "J_n integrated over the domain: 4.607 at time: 0.290\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.290\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.290\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.290\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.290\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.300\n", + "J_n integrated over the domain: 2.881 at time: 0.300\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.300\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.300\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.300\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.300\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.310\n", + "J_n integrated over the domain: 1.729 at time: 0.310\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.310\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.310\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.310\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.310\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.320\n", + "J_n integrated over the domain: 1.221 at time: 0.320\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.320\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.320\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.320\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.320\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 2.228 at time: 0.330\n", + "J_n integrated over the domain: 1.391 at time: 0.330\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.330\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.330\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.330\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.330\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.340\n", + "J_n integrated over the domain: 2.228 at time: 0.340\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.340\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.340\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.340\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.340\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.350\n", + "J_n integrated over the domain: 3.678 at time: 0.350\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.350\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.350\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.350\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.350\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.360\n", + "J_n integrated over the domain: 5.652 at time: 0.360\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.360\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.360\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.360\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.360\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.370\n", + "J_n integrated over the domain: 8.024 at time: 0.370\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.370\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.370\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.370\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.370\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.380\n", + "J_n integrated over the domain: 10.646 at time: 0.380\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.380\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.380\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.380\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.380\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.390\n", + "J_n integrated over the domain: 13.354 at time: 0.390\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.390\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.390\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.390\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.390\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.400\n", + "J_n integrated over the domain: 15.976 at time: 0.400\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.400\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.400\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.400\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.400\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.410\n", + "J_n integrated over the domain: 18.348 at time: 0.410\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.410\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.410\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.410\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.410\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.420\n", + "J_n integrated over the domain: 20.322 at time: 0.420\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.420\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.420\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.420\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.420\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.430\n", + "J_n integrated over the domain: 21.772 at time: 0.430\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.430\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.430\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.430\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.430\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.440\n", + "J_n integrated over the domain: 22.609 at time: 0.440\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.440\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.440\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.440\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.440\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.450\n", + "J_n integrated over the domain: 22.779 at time: 0.450\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.450\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.450\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.450\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.450\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.460\n", + "J_n integrated over the domain: 22.271 at time: 0.460\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.460\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.460\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.460\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.460\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.470\n", + "J_n integrated over the domain: 21.119 at time: 0.470\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.470\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.470\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.470\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.470\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.480\n", + "J_n integrated over the domain: 19.393 at time: 0.480\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.480\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.480\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.480\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.480\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.490\n", + "J_n integrated over the domain: 17.203 at time: 0.490\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.490\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.490\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.490\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.490\n", + "\n", + "J integrated over the domain: 12.000 at time: 0.500\n", + "J_n integrated over the domain: 14.686 at time: 0.500\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.500\n", + "d (def. map) integrated over the domain: 148.000 at time: 0.500\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.500\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.500\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.510\n", + "J_n integrated over the domain: 12.000 at time: 0.510\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.510\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.510\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.510\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.510\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.520\n", + "J_n integrated over the domain: 9.314 at time: 0.520\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.520\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.520\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.520\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.520\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.530\n", + "J_n integrated over the domain: 6.797 at time: 0.530\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.530\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.530\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.530\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.530\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.540\n", + "J_n integrated over the domain: 4.607 at time: 0.540\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.540\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.540\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.540\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.540\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.550\n", + "J_n integrated over the domain: 2.881 at time: 0.550\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.550\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.550\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.550\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.550\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.560\n", + "J_n integrated over the domain: 1.729 at time: 0.560\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.560\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.560\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.560\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.560\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 1.391 at time: 0.570\n", + "J_n integrated over the domain: 1.221 at time: 0.570\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.570\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.570\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.570\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.570\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.580\n", + "J_n integrated over the domain: 1.391 at time: 0.580\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.580\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.580\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.580\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.580\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.590\n", + "J_n integrated over the domain: 2.228 at time: 0.590\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.590\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.590\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.590\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.590\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.600\n", + "J_n integrated over the domain: 3.678 at time: 0.600\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.600\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.600\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.600\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.600\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.610\n", + "J_n integrated over the domain: 5.652 at time: 0.610\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.610\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.610\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.610\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.610\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.620\n", + "J_n integrated over the domain: 8.024 at time: 0.620\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.620\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.620\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.620\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.620\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.630\n", + "J_n integrated over the domain: 10.646 at time: 0.630\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.630\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.630\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.630\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.630\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.640\n", + "J_n integrated over the domain: 13.354 at time: 0.640\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.640\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.640\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.640\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.640\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.650\n", + "J_n integrated over the domain: 15.976 at time: 0.650\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.650\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.650\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.650\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.650\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.660\n", + "J_n integrated over the domain: 18.348 at time: 0.660\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.660\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.660\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.660\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.660\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.670\n", + "J_n integrated over the domain: 20.322 at time: 0.670\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.670\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.670\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.670\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.670\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.680\n", + "J_n integrated over the domain: 21.772 at time: 0.680\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.680\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.680\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.680\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.680\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.690\n", + "J_n integrated over the domain: 22.609 at time: 0.690\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.690\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.690\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.690\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.690\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.700\n", + "J_n integrated over the domain: 22.779 at time: 0.700\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.700\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.700\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.700\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.700\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.710\n", + "J_n integrated over the domain: 22.271 at time: 0.710\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.710\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.710\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.710\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.710\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.720\n", + "J_n integrated over the domain: 21.119 at time: 0.720\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.720\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.720\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.720\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.720\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.730\n", + "J_n integrated over the domain: 19.393 at time: 0.730\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.730\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.730\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.730\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.730\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.740\n", + "J_n integrated over the domain: 17.203 at time: 0.740\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.740\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.740\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.740\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.740\n", + "\n", + "J integrated over the domain: 12.000 at time: 0.750\n", + "J_n integrated over the domain: 14.686 at time: 0.750\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.750\n", + "d (def. map) integrated over the domain: 148.000 at time: 0.750\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.750\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.750\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.760\n", + "J_n integrated over the domain: 12.000 at time: 0.760\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.760\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.760\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.760\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.760\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.770\n", + "J_n integrated over the domain: 9.314 at time: 0.770\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.770\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.770\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.770\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.770\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.780\n", + "J_n integrated over the domain: 6.797 at time: 0.780\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.780\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.780\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.780\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.780\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.790\n", + "J_n integrated over the domain: 4.607 at time: 0.790\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.790\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.790\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.790\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.790\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.800\n", + "J_n integrated over the domain: 2.881 at time: 0.800\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.800\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.800\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.800\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.800\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 1.221 at time: 0.810\n", + "J_n integrated over the domain: 1.729 at time: 0.810\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.810\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.810\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.810\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.810\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.820\n", + "J_n integrated over the domain: 1.221 at time: 0.820\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.820\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.820\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.820\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.820\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.830\n", + "J_n integrated over the domain: 1.391 at time: 0.830\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.830\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.830\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.830\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.830\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.840\n", + "J_n integrated over the domain: 2.228 at time: 0.840\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.840\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.840\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.840\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.840\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.850\n", + "J_n integrated over the domain: 3.678 at time: 0.850\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.850\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.850\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.850\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.850\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.860\n", + "J_n integrated over the domain: 5.652 at time: 0.860\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.860\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.860\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.860\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.860\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.870\n", + "J_n integrated over the domain: 8.024 at time: 0.870\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.870\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.870\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.870\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.870\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.880\n", + "J_n integrated over the domain: 10.646 at time: 0.880\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.880\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.880\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.880\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.880\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.890\n", + "J_n integrated over the domain: 13.354 at time: 0.890\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.890\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.890\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.890\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.890\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.900\n", + "J_n integrated over the domain: 15.976 at time: 0.900\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.900\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.900\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.900\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.900\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.910\n", + "J_n integrated over the domain: 18.348 at time: 0.910\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.910\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.910\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.910\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.910\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.920\n", + "J_n integrated over the domain: 20.322 at time: 0.920\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.920\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.920\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.920\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.920\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.930\n", + "J_n integrated over the domain: 21.772 at time: 0.930\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.930\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.930\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.930\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.930\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.940\n", + "J_n integrated over the domain: 22.609 at time: 0.940\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.940\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.940\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.940\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.940\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.950\n", + "J_n integrated over the domain: 22.779 at time: 0.950\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.950\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.950\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.950\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.950\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.960\n", + "J_n integrated over the domain: 22.271 at time: 0.960\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.960\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.960\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.960\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.960\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.970\n", + "J_n integrated over the domain: 21.119 at time: 0.970\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.970\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.970\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.970\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.970\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.980\n", + "J_n integrated over the domain: 19.393 at time: 0.980\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.980\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.980\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.980\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 0.980\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.990\n", + "J_n integrated over the domain: 17.203 at time: 0.990\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.990\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.990\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.990\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.990\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.000\n", + "J_n integrated over the domain: 14.686 at time: 1.000\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.000\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.000\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.000\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.000\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.010\n", + "J_n integrated over the domain: 12.000 at time: 1.010\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.010\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.010\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.010\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.010\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.020\n", + "J_n integrated over the domain: 9.314 at time: 1.020\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.020\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.020\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.020\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.020\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.030\n", + "J_n integrated over the domain: 6.797 at time: 1.030\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.030\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.030\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.030\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.030\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.040\n", + "J_n integrated over the domain: 4.607 at time: 1.040\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.040\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.040\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.040\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.040\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.050\n", + "J_n integrated over the domain: 2.881 at time: 1.050\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.050\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.050\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.050\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.050\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 1.221 at time: 1.060\n", + "J_n integrated over the domain: 1.729 at time: 1.060\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.060\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.060\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.060\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.060\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.070\n", + "J_n integrated over the domain: 1.221 at time: 1.070\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.070\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.070\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.070\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.070\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.080\n", + "J_n integrated over the domain: 1.391 at time: 1.080\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.080\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.080\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.080\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.080\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.090\n", + "J_n integrated over the domain: 2.228 at time: 1.090\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.090\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.090\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.090\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.090\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.100\n", + "J_n integrated over the domain: 3.678 at time: 1.100\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.100\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.100\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.100\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.100\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.110\n", + "J_n integrated over the domain: 5.652 at time: 1.110\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.110\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.110\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.110\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.110\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.120\n", + "J_n integrated over the domain: 8.024 at time: 1.120\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.120\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.120\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.120\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.120\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.130\n", + "J_n integrated over the domain: 10.646 at time: 1.130\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.130\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.130\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.130\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.130\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.140\n", + "J_n integrated over the domain: 13.354 at time: 1.140\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.140\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.140\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.140\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.140\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.150\n", + "J_n integrated over the domain: 15.976 at time: 1.150\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.150\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.150\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.150\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.150\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.160\n", + "J_n integrated over the domain: 18.348 at time: 1.160\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.160\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.160\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.160\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.160\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.170\n", + "J_n integrated over the domain: 20.322 at time: 1.170\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.170\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.170\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.170\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.170\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.180\n", + "J_n integrated over the domain: 21.772 at time: 1.180\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.180\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.180\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.180\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.180\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.190\n", + "J_n integrated over the domain: 22.609 at time: 1.190\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.190\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.190\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.190\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.190\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.200\n", + "J_n integrated over the domain: 22.779 at time: 1.200\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.200\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.200\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.200\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.200\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.210\n", + "J_n integrated over the domain: 22.271 at time: 1.210\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.210\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.210\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.210\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.210\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.220\n", + "J_n integrated over the domain: 21.119 at time: 1.220\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.220\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.220\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.220\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.220\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.230\n", + "J_n integrated over the domain: 19.393 at time: 1.230\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.230\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.230\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.230\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.230\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.240\n", + "J_n integrated over the domain: 17.203 at time: 1.240\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.240\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.240\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.240\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.240\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.250\n", + "J_n integrated over the domain: 14.686 at time: 1.250\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.250\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.250\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.250\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.250\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.260\n", + "J_n integrated over the domain: 12.000 at time: 1.260\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.260\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.260\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.260\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.260\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.270\n", + "J_n integrated over the domain: 9.314 at time: 1.270\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.270\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.270\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.270\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.270\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.280\n", + "J_n integrated over the domain: 6.797 at time: 1.280\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.280\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.280\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.280\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.280\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.290\n", + "J_n integrated over the domain: 4.607 at time: 1.290\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.290\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.290\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.290\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.290\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 1.729 at time: 1.300\n", + "J_n integrated over the domain: 2.881 at time: 1.300\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.300\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.300\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.300\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.300\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.310\n", + "J_n integrated over the domain: 1.729 at time: 1.310\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.310\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.310\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.310\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.310\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.320\n", + "J_n integrated over the domain: 1.221 at time: 1.320\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.320\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.320\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.320\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.320\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.330\n", + "J_n integrated over the domain: 1.391 at time: 1.330\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.330\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.330\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.330\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.330\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.340\n", + "J_n integrated over the domain: 2.228 at time: 1.340\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.340\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.340\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.340\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.340\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.350\n", + "J_n integrated over the domain: 3.678 at time: 1.350\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.350\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.350\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.350\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.350\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.360\n", + "J_n integrated over the domain: 5.652 at time: 1.360\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.360\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.360\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.360\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.360\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.370\n", + "J_n integrated over the domain: 8.024 at time: 1.370\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.370\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.370\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.370\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.370\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.380\n", + "J_n integrated over the domain: 10.646 at time: 1.380\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.380\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.380\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.380\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.380\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.390\n", + "J_n integrated over the domain: 13.354 at time: 1.390\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.390\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.390\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.390\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.390\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.400\n", + "J_n integrated over the domain: 15.976 at time: 1.400\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.400\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.400\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.400\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.400\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.410\n", + "J_n integrated over the domain: 18.348 at time: 1.410\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.410\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.410\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.410\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.410\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.420\n", + "J_n integrated over the domain: 20.322 at time: 1.420\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.420\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.420\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.420\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.420\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.430\n", + "J_n integrated over the domain: 21.772 at time: 1.430\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.430\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.430\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.430\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.430\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.440\n", + "J_n integrated over the domain: 22.609 at time: 1.440\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.440\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.440\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.440\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.440\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.450\n", + "J_n integrated over the domain: 22.779 at time: 1.450\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.450\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.450\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.450\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.450\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.460\n", + "J_n integrated over the domain: 22.271 at time: 1.460\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.460\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.460\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.460\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.460\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.470\n", + "J_n integrated over the domain: 21.119 at time: 1.470\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.470\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.470\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.470\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.470\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.480\n", + "J_n integrated over the domain: 19.393 at time: 1.480\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.480\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.480\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.480\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.480\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.490\n", + "J_n integrated over the domain: 17.203 at time: 1.490\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.490\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.490\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.490\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.490\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.500\n", + "J_n integrated over the domain: 14.686 at time: 1.500\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.500\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.500\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.500\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.500\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.510\n", + "J_n integrated over the domain: 12.000 at time: 1.510\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.510\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.510\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.510\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.510\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.520\n", + "J_n integrated over the domain: 9.314 at time: 1.520\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.520\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.520\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.520\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.520\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.530\n", + "J_n integrated over the domain: 6.797 at time: 1.530\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.530\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.530\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.530\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.530\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 2.881 at time: 1.540\n", + "J_n integrated over the domain: 4.607 at time: 1.540\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.540\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.540\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.540\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.540\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.550\n", + "J_n integrated over the domain: 2.881 at time: 1.550\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.550\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.550\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.550\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.550\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.560\n", + "J_n integrated over the domain: 1.729 at time: 1.560\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.560\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.560\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.560\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.560\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.570\n", + "J_n integrated over the domain: 1.221 at time: 1.570\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.570\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.570\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.570\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.570\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.580\n", + "J_n integrated over the domain: 1.391 at time: 1.580\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.580\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.580\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.580\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.580\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.590\n", + "J_n integrated over the domain: 2.228 at time: 1.590\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.590\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.590\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.590\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.590\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.600\n", + "J_n integrated over the domain: 3.678 at time: 1.600\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.600\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.600\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.600\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.600\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.610\n", + "J_n integrated over the domain: 5.652 at time: 1.610\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.610\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.610\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.610\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.610\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.620\n", + "J_n integrated over the domain: 8.024 at time: 1.620\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.620\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.620\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.620\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.620\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.630\n", + "J_n integrated over the domain: 10.646 at time: 1.630\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.630\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.630\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.630\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.630\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.640\n", + "J_n integrated over the domain: 13.354 at time: 1.640\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.640\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.640\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.640\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.640\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.650\n", + "J_n integrated over the domain: 15.976 at time: 1.650\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.650\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.650\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.650\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.650\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.660\n", + "J_n integrated over the domain: 18.348 at time: 1.660\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.660\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.660\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.660\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.660\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.670\n", + "J_n integrated over the domain: 20.322 at time: 1.670\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.670\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.670\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.670\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.670\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.680\n", + "J_n integrated over the domain: 21.772 at time: 1.680\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.680\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.680\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.680\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.680\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.690\n", + "J_n integrated over the domain: 22.609 at time: 1.690\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.690\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.690\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.690\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.690\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.700\n", + "J_n integrated over the domain: 22.779 at time: 1.700\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.700\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.700\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.700\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.700\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.710\n", + "J_n integrated over the domain: 22.271 at time: 1.710\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.710\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.710\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.710\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.710\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.720\n", + "J_n integrated over the domain: 21.119 at time: 1.720\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.720\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.720\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.720\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.720\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.730\n", + "J_n integrated over the domain: 19.393 at time: 1.730\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.730\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.730\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.730\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.730\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.740\n", + "J_n integrated over the domain: 17.203 at time: 1.740\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.740\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.740\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.740\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.740\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.750\n", + "J_n integrated over the domain: 14.686 at time: 1.750\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.750\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.750\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.750\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.750\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.760\n", + "J_n integrated over the domain: 12.000 at time: 1.760\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.760\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.760\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.760\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.760\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.770\n", + "J_n integrated over the domain: 9.314 at time: 1.770\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.770\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.770\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.770\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.770\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 4.607 at time: 1.780\n", + "J_n integrated over the domain: 6.797 at time: 1.780\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.780\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.780\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.780\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.780\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.790\n", + "J_n integrated over the domain: 4.607 at time: 1.790\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.790\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.790\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.790\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.790\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.800\n", + "J_n integrated over the domain: 2.881 at time: 1.800\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.800\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.800\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.800\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.800\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.810\n", + "J_n integrated over the domain: 1.729 at time: 1.810\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.810\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.810\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.810\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.810\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.820\n", + "J_n integrated over the domain: 1.221 at time: 1.820\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.820\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.820\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.820\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.820\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.830\n", + "J_n integrated over the domain: 1.391 at time: 1.830\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.830\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.830\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.830\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.830\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.840\n", + "J_n integrated over the domain: 2.228 at time: 1.840\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.840\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.840\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.840\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.840\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.850\n", + "J_n integrated over the domain: 3.678 at time: 1.850\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.850\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.850\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.850\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.850\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.860\n", + "J_n integrated over the domain: 5.652 at time: 1.860\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.860\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.860\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.860\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.860\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.870\n", + "J_n integrated over the domain: 8.024 at time: 1.870\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.870\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.870\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.870\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.870\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.880\n", + "J_n integrated over the domain: 10.646 at time: 1.880\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.880\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.880\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.880\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.880\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.890\n", + "J_n integrated over the domain: 13.354 at time: 1.890\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.890\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.890\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.890\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.890\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.900\n", + "J_n integrated over the domain: 15.976 at time: 1.900\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.900\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.900\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.900\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.900\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.910\n", + "J_n integrated over the domain: 18.348 at time: 1.910\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.910\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.910\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.910\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.910\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.920\n", + "J_n integrated over the domain: 20.322 at time: 1.920\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.920\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.920\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.920\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.920\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.930\n", + "J_n integrated over the domain: 21.772 at time: 1.930\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.930\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.930\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.930\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.930\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.940\n", + "J_n integrated over the domain: 22.609 at time: 1.940\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.940\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.940\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.940\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.940\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.950\n", + "J_n integrated over the domain: 22.779 at time: 1.950\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.950\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.950\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.950\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.950\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.960\n", + "J_n integrated over the domain: 22.271 at time: 1.960\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.960\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.960\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.960\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.960\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.970\n", + "J_n integrated over the domain: 21.119 at time: 1.970\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.970\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.970\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.970\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.970\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.980\n", + "J_n integrated over the domain: 19.393 at time: 1.980\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.980\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.980\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.980\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.980\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.990\n", + "J_n integrated over the domain: 17.203 at time: 1.990\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.990\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.990\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.990\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 1.990\n", + "\n", + "J integrated over the domain: 12.000 at time: 2.000\n", + "J_n integrated over the domain: 14.686 at time: 2.000\n", + "Well-posedness condition 3J - J_n > 0: True at time 2.000\n", + "d (def. map) integrated over the domain: 148.000 at time: 2.000\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 2.000\n", + "Residual of scheme -> 'delta' value: 0.00000 at time 2.000\n", + "\n", + "Number of degrees of freedom: 14387\n", + "Solution Computed in 103.93 seconds\n", + "\n", + "----------------Computation Completed!----------------\n", + "\n", + "\n", + "----------------Simulations Done!----------------.\n", + "\n", + "Initializing testing of two deformation cases with input parameters:\n", + " Solver to use -solver_to_use- : LU\n", + " \n", + "\n", + "Initializing iNSE problem with Deformation type: High_Osc_exp\n", + "\n", + "\n", + "Setup with initial condition: True\n", + "Using a non-zero initial condition (2D-Gaussian) for the velocity field!\n", + "Defining forms associated to Chorin-Temam scheme...\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Using LU Solver...\n", + "Starting iteration over time...\n", + "E (Energy) of initial t. velocity: 0.01648 at time 0.000\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.010\n", + "J_n integrated over the domain: 12.000 at time: 0.010\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.010\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.010\n", + "Strain energy E( eps(|u|^2) ): 0.00007 at time 0.010\n", + "Residual of scheme -> 'delta' value: -0.00069 at time 0.010\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.020\n", + "J_n integrated over the domain: 14.686 at time: 0.020\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.020\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.020\n", + "Strain energy E( eps(|u|^2) ): 0.00006 at time 0.020\n", + "Residual of scheme -> 'delta' value: -0.00010 at time 0.020\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.030\n", + "J_n integrated over the domain: 17.203 at time: 0.030\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.030\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.030\n", + "Strain energy E( eps(|u|^2) ): 0.00006 at time 0.030\n", + "Residual of scheme -> 'delta' value: -0.00005 at time 0.030\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.040\n", + "J_n integrated over the domain: 19.393 at time: 0.040\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.040\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.040\n", + "Strain energy E( eps(|u|^2) ): 0.00005 at time 0.040\n", + "Residual of scheme -> 'delta' value: -0.00002 at time 0.040\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.050\n", + "J_n integrated over the domain: 21.119 at time: 0.050\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.050\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.050\n", + "Strain energy E( eps(|u|^2) ): 0.00005 at time 0.050\n", + "Residual of scheme -> 'delta' value: -0.00001 at time 0.050\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.060\n", + "J_n integrated over the domain: 22.271 at time: 0.060\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.060\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.060\n", + "Strain energy E( eps(|u|^2) ): 0.00004 at time 0.060\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.060\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.070\n", + "J_n integrated over the domain: 22.779 at time: 0.070\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.070\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.070\n", + "Strain energy E( eps(|u|^2) ): 0.00004 at time 0.070\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.070\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.080\n", + "J_n integrated over the domain: 22.609 at time: 0.080\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.080\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.080\n", + "Strain energy E( eps(|u|^2) ): 0.00004 at time 0.080\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.080\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.090\n", + "J_n integrated over the domain: 21.772 at time: 0.090\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.090\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.090\n", + "Strain energy E( eps(|u|^2) ): 0.00003 at time 0.090\n", + "Residual of scheme -> 'delta' value: -0.00001 at time 0.090\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.100\n", + "J_n integrated over the domain: 20.322 at time: 0.100\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.100\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.100\n", + "Strain energy E( eps(|u|^2) ): 0.00003 at time 0.100\n", + "Residual of scheme -> 'delta' value: -0.00002 at time 0.100\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.110\n", + "J_n integrated over the domain: 18.348 at time: 0.110\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.110\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.110\n", + "Strain energy E( eps(|u|^2) ): 0.00003 at time 0.110\n", + "Residual of scheme -> 'delta' value: -0.00003 at time 0.110\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.120\n", + "J_n integrated over the domain: 15.976 at time: 0.120\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.120\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.120\n", + "Strain energy E( eps(|u|^2) ): 0.00004 at time 0.120\n", + "Residual of scheme -> 'delta' value: -0.00005 at time 0.120\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.130\n", + "J_n integrated over the domain: 13.354 at time: 0.130\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.130\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.130\n", + "Strain energy E( eps(|u|^2) ): 0.00008 at time 0.130\n", + "Residual of scheme -> 'delta' value: -0.00005 at time 0.130\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.140\n", + "J_n integrated over the domain: 10.646 at time: 0.140\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.140\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.140\n", + "Strain energy E( eps(|u|^2) ): 0.00015 at time 0.140\n", + "Residual of scheme -> 'delta' value: -0.00005 at time 0.140\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.150\n", + "J_n integrated over the domain: 8.024 at time: 0.150\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.150\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.150\n", + "Strain energy E( eps(|u|^2) ): 0.00020 at time 0.150\n", + "Residual of scheme -> 'delta' value: -0.00005 at time 0.150\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.160\n", + "J_n integrated over the domain: 5.652 at time: 0.160\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.160\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.160\n", + "Strain energy E( eps(|u|^2) ): 0.00016 at time 0.160\n", + "Residual of scheme -> 'delta' value: -0.00005 at time 0.160\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.170\n", + "J_n integrated over the domain: 3.678 at time: 0.170\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.170\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.170\n", + "Strain energy E( eps(|u|^2) ): 0.00008 at time 0.170\n", + "Residual of scheme -> 'delta' value: -0.00004 at time 0.170\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.180\n", + "J_n integrated over the domain: 2.228 at time: 0.180\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.180\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.180\n", + "Strain energy E( eps(|u|^2) ): 0.00002 at time 0.180\n", + "Residual of scheme -> 'delta' value: -0.00002 at time 0.180\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.190\n", + "J_n integrated over the domain: 1.391 at time: 0.190\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.190\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.190\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.190\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.190\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.200\n", + "J_n integrated over the domain: 1.221 at time: 0.200\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.200\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.200\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.200\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.200\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.210\n", + "J_n integrated over the domain: 1.729 at time: 0.210\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.210\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.210\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.210\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.210\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.220\n", + "J_n integrated over the domain: 2.881 at time: 0.220\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.220\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.220\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.220\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.220\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.230\n", + "J_n integrated over the domain: 4.607 at time: 0.230\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.230\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.230\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.230\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.230\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.240\n", + "J_n integrated over the domain: 6.797 at time: 0.240\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.240\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.240\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.240\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.240\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 12.000 at time: 0.250\n", + "J_n integrated over the domain: 9.314 at time: 0.250\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.250\n", + "d (def. map) integrated over the domain: 148.000 at time: 0.250\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.250\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.250\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.260\n", + "J_n integrated over the domain: 12.000 at time: 0.260\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.260\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.260\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.260\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.260\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.270\n", + "J_n integrated over the domain: 14.686 at time: 0.270\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.270\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.270\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.270\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.270\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.280\n", + "J_n integrated over the domain: 17.203 at time: 0.280\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.280\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.280\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.280\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.280\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.290\n", + "J_n integrated over the domain: 19.393 at time: 0.290\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.290\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.290\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.290\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.290\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.300\n", + "J_n integrated over the domain: 21.119 at time: 0.300\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.300\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.300\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.300\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.300\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.310\n", + "J_n integrated over the domain: 22.271 at time: 0.310\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.310\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.310\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.310\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.310\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.320\n", + "J_n integrated over the domain: 22.779 at time: 0.320\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.320\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.320\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.320\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.320\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.330\n", + "J_n integrated over the domain: 22.609 at time: 0.330\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.330\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.330\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.330\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.330\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.340\n", + "J_n integrated over the domain: 21.772 at time: 0.340\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.340\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.340\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.340\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.340\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.350\n", + "J_n integrated over the domain: 20.322 at time: 0.350\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.350\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.350\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.350\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.350\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.360\n", + "J_n integrated over the domain: 18.348 at time: 0.360\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.360\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.360\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.360\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.360\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.370\n", + "J_n integrated over the domain: 15.976 at time: 0.370\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.370\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.370\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.370\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.370\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.380\n", + "J_n integrated over the domain: 13.354 at time: 0.380\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.380\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.380\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.380\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.380\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.390\n", + "J_n integrated over the domain: 10.646 at time: 0.390\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.390\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.390\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.390\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.390\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.400\n", + "J_n integrated over the domain: 8.024 at time: 0.400\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.400\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.400\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.400\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.400\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.410\n", + "J_n integrated over the domain: 5.652 at time: 0.410\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.410\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.410\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.410\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.410\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.420\n", + "J_n integrated over the domain: 3.678 at time: 0.420\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.420\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.420\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.420\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.420\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.430\n", + "J_n integrated over the domain: 2.228 at time: 0.430\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.430\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.430\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.430\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.430\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.440\n", + "J_n integrated over the domain: 1.391 at time: 0.440\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.440\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.440\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.440\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.440\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.450\n", + "J_n integrated over the domain: 1.221 at time: 0.450\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.450\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.450\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.450\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.450\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.460\n", + "J_n integrated over the domain: 1.729 at time: 0.460\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.460\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.460\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.460\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.460\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.470\n", + "J_n integrated over the domain: 2.881 at time: 0.470\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.470\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.470\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.470\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.470\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.480\n", + "J_n integrated over the domain: 4.607 at time: 0.480\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.480\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.480\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.480\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.480\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.490\n", + "J_n integrated over the domain: 6.797 at time: 0.490\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.490\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.490\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.490\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.490\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 12.000 at time: 0.500\n", + "J_n integrated over the domain: 9.314 at time: 0.500\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.500\n", + "d (def. map) integrated over the domain: 148.000 at time: 0.500\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.500\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.500\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.510\n", + "J_n integrated over the domain: 12.000 at time: 0.510\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.510\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.510\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.510\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.510\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.520\n", + "J_n integrated over the domain: 14.686 at time: 0.520\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.520\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.520\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.520\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.520\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.530\n", + "J_n integrated over the domain: 17.203 at time: 0.530\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.530\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.530\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.530\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.530\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.540\n", + "J_n integrated over the domain: 19.393 at time: 0.540\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.540\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.540\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.540\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.540\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.550\n", + "J_n integrated over the domain: 21.119 at time: 0.550\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.550\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.550\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.550\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.550\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.560\n", + "J_n integrated over the domain: 22.271 at time: 0.560\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.560\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.560\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.560\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.560\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.570\n", + "J_n integrated over the domain: 22.779 at time: 0.570\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.570\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.570\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.570\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.570\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.580\n", + "J_n integrated over the domain: 22.609 at time: 0.580\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.580\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.580\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.580\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.580\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.590\n", + "J_n integrated over the domain: 21.772 at time: 0.590\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.590\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.590\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.590\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.590\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.600\n", + "J_n integrated over the domain: 20.322 at time: 0.600\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.600\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.600\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.600\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.600\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.610\n", + "J_n integrated over the domain: 18.348 at time: 0.610\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.610\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.610\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.610\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.610\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.620\n", + "J_n integrated over the domain: 15.976 at time: 0.620\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.620\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.620\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.620\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.620\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.630\n", + "J_n integrated over the domain: 13.354 at time: 0.630\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.630\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.630\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.630\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.630\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.640\n", + "J_n integrated over the domain: 10.646 at time: 0.640\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.640\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.640\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.640\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.640\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.650\n", + "J_n integrated over the domain: 8.024 at time: 0.650\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.650\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.650\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.650\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.650\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.660\n", + "J_n integrated over the domain: 5.652 at time: 0.660\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.660\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.660\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.660\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.660\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.670\n", + "J_n integrated over the domain: 3.678 at time: 0.670\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.670\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.670\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.670\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.670\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.680\n", + "J_n integrated over the domain: 2.228 at time: 0.680\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.680\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.680\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.680\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.680\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.690\n", + "J_n integrated over the domain: 1.391 at time: 0.690\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.690\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.690\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.690\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.690\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.700\n", + "J_n integrated over the domain: 1.221 at time: 0.700\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.700\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.700\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.700\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.700\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.710\n", + "J_n integrated over the domain: 1.729 at time: 0.710\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.710\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.710\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.710\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.710\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.720\n", + "J_n integrated over the domain: 2.881 at time: 0.720\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.720\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.720\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.720\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.720\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.730\n", + "J_n integrated over the domain: 4.607 at time: 0.730\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.730\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.730\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.730\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.730\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.740\n", + "J_n integrated over the domain: 6.797 at time: 0.740\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.740\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.740\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.740\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.740\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 12.000 at time: 0.750\n", + "J_n integrated over the domain: 9.314 at time: 0.750\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.750\n", + "d (def. map) integrated over the domain: 148.000 at time: 0.750\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.750\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.750\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.760\n", + "J_n integrated over the domain: 12.000 at time: 0.760\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.760\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.760\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.760\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.760\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.770\n", + "J_n integrated over the domain: 14.686 at time: 0.770\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.770\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.770\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.770\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.770\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.780\n", + "J_n integrated over the domain: 17.203 at time: 0.780\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.780\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.780\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.780\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.780\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.790\n", + "J_n integrated over the domain: 19.393 at time: 0.790\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.790\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.790\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.790\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.790\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.800\n", + "J_n integrated over the domain: 21.119 at time: 0.800\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.800\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.800\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.800\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.800\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.810\n", + "J_n integrated over the domain: 22.271 at time: 0.810\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.810\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.810\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.810\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.810\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.820\n", + "J_n integrated over the domain: 22.779 at time: 0.820\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.820\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.820\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.820\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.820\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.830\n", + "J_n integrated over the domain: 22.609 at time: 0.830\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.830\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.830\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.830\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.830\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.840\n", + "J_n integrated over the domain: 21.772 at time: 0.840\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.840\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.840\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.840\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.840\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.850\n", + "J_n integrated over the domain: 20.322 at time: 0.850\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.850\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.850\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.850\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.850\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.860\n", + "J_n integrated over the domain: 18.348 at time: 0.860\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.860\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.860\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.860\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.860\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.870\n", + "J_n integrated over the domain: 15.976 at time: 0.870\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.870\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.870\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.870\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.870\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.880\n", + "J_n integrated over the domain: 13.354 at time: 0.880\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.880\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.880\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.880\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.880\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.890\n", + "J_n integrated over the domain: 10.646 at time: 0.890\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.890\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.890\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.890\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.890\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.900\n", + "J_n integrated over the domain: 8.024 at time: 0.900\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.900\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.900\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.900\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.900\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.910\n", + "J_n integrated over the domain: 5.652 at time: 0.910\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.910\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.910\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.910\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.910\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.920\n", + "J_n integrated over the domain: 3.678 at time: 0.920\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.920\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.920\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.920\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.920\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.930\n", + "J_n integrated over the domain: 2.228 at time: 0.930\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.930\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.930\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.930\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.930\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.940\n", + "J_n integrated over the domain: 1.391 at time: 0.940\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.940\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.940\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.940\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.940\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.950\n", + "J_n integrated over the domain: 1.221 at time: 0.950\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.950\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.950\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.950\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.950\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.960\n", + "J_n integrated over the domain: 1.729 at time: 0.960\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.960\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.960\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.960\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.960\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.970\n", + "J_n integrated over the domain: 2.881 at time: 0.970\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.970\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.970\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.970\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.970\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.980\n", + "J_n integrated over the domain: 4.607 at time: 0.980\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.980\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.980\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.980\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.980\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.990\n", + "J_n integrated over the domain: 6.797 at time: 0.990\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.990\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.990\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.990\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.990\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 12.000 at time: 1.000\n", + "J_n integrated over the domain: 9.314 at time: 1.000\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.000\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.000\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.000\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.000\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.010\n", + "J_n integrated over the domain: 12.000 at time: 1.010\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.010\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.010\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.010\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.010\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.020\n", + "J_n integrated over the domain: 14.686 at time: 1.020\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.020\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.020\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.020\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.020\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.030\n", + "J_n integrated over the domain: 17.203 at time: 1.030\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.030\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.030\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.030\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.030\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.040\n", + "J_n integrated over the domain: 19.393 at time: 1.040\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.040\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.040\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.040\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.040\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.050\n", + "J_n integrated over the domain: 21.119 at time: 1.050\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.050\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.050\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.050\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.050\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.060\n", + "J_n integrated over the domain: 22.271 at time: 1.060\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.060\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.060\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.060\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.060\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.070\n", + "J_n integrated over the domain: 22.779 at time: 1.070\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.070\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.070\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.070\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.070\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.080\n", + "J_n integrated over the domain: 22.609 at time: 1.080\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.080\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.080\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.080\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.080\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.090\n", + "J_n integrated over the domain: 21.772 at time: 1.090\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.090\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.090\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.090\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.090\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.100\n", + "J_n integrated over the domain: 20.322 at time: 1.100\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.100\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.100\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.100\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.100\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.110\n", + "J_n integrated over the domain: 18.348 at time: 1.110\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.110\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.110\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.110\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.110\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.120\n", + "J_n integrated over the domain: 15.976 at time: 1.120\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.120\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.120\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.120\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.120\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.130\n", + "J_n integrated over the domain: 13.354 at time: 1.130\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.130\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.130\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.130\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.130\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.140\n", + "J_n integrated over the domain: 10.646 at time: 1.140\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.140\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.140\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.140\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.140\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.150\n", + "J_n integrated over the domain: 8.024 at time: 1.150\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.150\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.150\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.150\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.150\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.160\n", + "J_n integrated over the domain: 5.652 at time: 1.160\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.160\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.160\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.160\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.160\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.170\n", + "J_n integrated over the domain: 3.678 at time: 1.170\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.170\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.170\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.170\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.170\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.180\n", + "J_n integrated over the domain: 2.228 at time: 1.180\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.180\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.180\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.180\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.180\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.190\n", + "J_n integrated over the domain: 1.391 at time: 1.190\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.190\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.190\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.190\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.190\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.200\n", + "J_n integrated over the domain: 1.221 at time: 1.200\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.200\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.200\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.200\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.200\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.210\n", + "J_n integrated over the domain: 1.729 at time: 1.210\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.210\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.210\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.210\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.210\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.220\n", + "J_n integrated over the domain: 2.881 at time: 1.220\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.220\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.220\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.220\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.220\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.230\n", + "J_n integrated over the domain: 4.607 at time: 1.230\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.230\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.230\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.230\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.230\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.240\n", + "J_n integrated over the domain: 6.797 at time: 1.240\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.240\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.240\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.240\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.240\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 12.000 at time: 1.250\n", + "J_n integrated over the domain: 9.314 at time: 1.250\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.250\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.250\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.250\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.250\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.260\n", + "J_n integrated over the domain: 12.000 at time: 1.260\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.260\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.260\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.260\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.260\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.270\n", + "J_n integrated over the domain: 14.686 at time: 1.270\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.270\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.270\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.270\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.270\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.280\n", + "J_n integrated over the domain: 17.203 at time: 1.280\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.280\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.280\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.280\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.280\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.290\n", + "J_n integrated over the domain: 19.393 at time: 1.290\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.290\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.290\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.290\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.290\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.300\n", + "J_n integrated over the domain: 21.119 at time: 1.300\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.300\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.300\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.300\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.300\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.310\n", + "J_n integrated over the domain: 22.271 at time: 1.310\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.310\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.310\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.310\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.310\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.320\n", + "J_n integrated over the domain: 22.779 at time: 1.320\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.320\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.320\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.320\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.320\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.330\n", + "J_n integrated over the domain: 22.609 at time: 1.330\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.330\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.330\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.330\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.330\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.340\n", + "J_n integrated over the domain: 21.772 at time: 1.340\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.340\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.340\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.340\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.340\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.350\n", + "J_n integrated over the domain: 20.322 at time: 1.350\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.350\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.350\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.350\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.350\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.360\n", + "J_n integrated over the domain: 18.348 at time: 1.360\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.360\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.360\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.360\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.360\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.370\n", + "J_n integrated over the domain: 15.976 at time: 1.370\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.370\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.370\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.370\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.370\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.380\n", + "J_n integrated over the domain: 13.354 at time: 1.380\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.380\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.380\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.380\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.380\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.390\n", + "J_n integrated over the domain: 10.646 at time: 1.390\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.390\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.390\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.390\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.390\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.400\n", + "J_n integrated over the domain: 8.024 at time: 1.400\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.400\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.400\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.400\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.400\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.410\n", + "J_n integrated over the domain: 5.652 at time: 1.410\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.410\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.410\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.410\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.410\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.420\n", + "J_n integrated over the domain: 3.678 at time: 1.420\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.420\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.420\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.420\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.420\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.430\n", + "J_n integrated over the domain: 2.228 at time: 1.430\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.430\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.430\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.430\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.430\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.440\n", + "J_n integrated over the domain: 1.391 at time: 1.440\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.440\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.440\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.440\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.440\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.450\n", + "J_n integrated over the domain: 1.221 at time: 1.450\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.450\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.450\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.450\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.450\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.460\n", + "J_n integrated over the domain: 1.729 at time: 1.460\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.460\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.460\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.460\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.460\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.470\n", + "J_n integrated over the domain: 2.881 at time: 1.470\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.470\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.470\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.470\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.470\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.480\n", + "J_n integrated over the domain: 4.607 at time: 1.480\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.480\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.480\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.480\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.480\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.490\n", + "J_n integrated over the domain: 6.797 at time: 1.490\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.490\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.490\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.490\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.490\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 12.000 at time: 1.500\n", + "J_n integrated over the domain: 9.314 at time: 1.500\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.500\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.500\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.500\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.500\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.510\n", + "J_n integrated over the domain: 12.000 at time: 1.510\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.510\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.510\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.510\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.510\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.520\n", + "J_n integrated over the domain: 14.686 at time: 1.520\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.520\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.520\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.520\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.520\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.530\n", + "J_n integrated over the domain: 17.203 at time: 1.530\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.530\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.530\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.530\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.530\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.540\n", + "J_n integrated over the domain: 19.393 at time: 1.540\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.540\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.540\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.540\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.540\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.550\n", + "J_n integrated over the domain: 21.119 at time: 1.550\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.550\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.550\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.550\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.550\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.560\n", + "J_n integrated over the domain: 22.271 at time: 1.560\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.560\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.560\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.560\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.560\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.570\n", + "J_n integrated over the domain: 22.779 at time: 1.570\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.570\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.570\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.570\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.570\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.580\n", + "J_n integrated over the domain: 22.609 at time: 1.580\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.580\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.580\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.580\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.580\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.590\n", + "J_n integrated over the domain: 21.772 at time: 1.590\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.590\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.590\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.590\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.590\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.600\n", + "J_n integrated over the domain: 20.322 at time: 1.600\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.600\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.600\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.600\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.600\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.610\n", + "J_n integrated over the domain: 18.348 at time: 1.610\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.610\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.610\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.610\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.610\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.620\n", + "J_n integrated over the domain: 15.976 at time: 1.620\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.620\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.620\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.620\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.620\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.630\n", + "J_n integrated over the domain: 13.354 at time: 1.630\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.630\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.630\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.630\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.630\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.640\n", + "J_n integrated over the domain: 10.646 at time: 1.640\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.640\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.640\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.640\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.640\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.650\n", + "J_n integrated over the domain: 8.024 at time: 1.650\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.650\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.650\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.650\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.650\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.660\n", + "J_n integrated over the domain: 5.652 at time: 1.660\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.660\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.660\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.660\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.660\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.670\n", + "J_n integrated over the domain: 3.678 at time: 1.670\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.670\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.670\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.670\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.670\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.680\n", + "J_n integrated over the domain: 2.228 at time: 1.680\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.680\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.680\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.680\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.680\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.690\n", + "J_n integrated over the domain: 1.391 at time: 1.690\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.690\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.690\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.690\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.690\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.700\n", + "J_n integrated over the domain: 1.221 at time: 1.700\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.700\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.700\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.700\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.700\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.710\n", + "J_n integrated over the domain: 1.729 at time: 1.710\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.710\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.710\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.710\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.710\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.720\n", + "J_n integrated over the domain: 2.881 at time: 1.720\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.720\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.720\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.720\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.720\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.730\n", + "J_n integrated over the domain: 4.607 at time: 1.730\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.730\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.730\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.730\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.730\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.740\n", + "J_n integrated over the domain: 6.797 at time: 1.740\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.740\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.740\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.740\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.740\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 12.000 at time: 1.750\n", + "J_n integrated over the domain: 9.314 at time: 1.750\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.750\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.750\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.750\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.750\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.760\n", + "J_n integrated over the domain: 12.000 at time: 1.760\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.760\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.760\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.760\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.760\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.770\n", + "J_n integrated over the domain: 14.686 at time: 1.770\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.770\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.770\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.770\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.770\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.780\n", + "J_n integrated over the domain: 17.203 at time: 1.780\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.780\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.780\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.780\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.780\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.790\n", + "J_n integrated over the domain: 19.393 at time: 1.790\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.790\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.790\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.790\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.790\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.800\n", + "J_n integrated over the domain: 21.119 at time: 1.800\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.800\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.800\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.800\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.800\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.810\n", + "J_n integrated over the domain: 22.271 at time: 1.810\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.810\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.810\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.810\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.810\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.820\n", + "J_n integrated over the domain: 22.779 at time: 1.820\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.820\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.820\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.820\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.820\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.830\n", + "J_n integrated over the domain: 22.609 at time: 1.830\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.830\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.830\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.830\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.830\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.840\n", + "J_n integrated over the domain: 21.772 at time: 1.840\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.840\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.840\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.840\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.840\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.850\n", + "J_n integrated over the domain: 20.322 at time: 1.850\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.850\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.850\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.850\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.850\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.860\n", + "J_n integrated over the domain: 18.348 at time: 1.860\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.860\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.860\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.860\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.860\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.870\n", + "J_n integrated over the domain: 15.976 at time: 1.870\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.870\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.870\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.870\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.870\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.880\n", + "J_n integrated over the domain: 13.354 at time: 1.880\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.880\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.880\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.880\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.880\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.890\n", + "J_n integrated over the domain: 10.646 at time: 1.890\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.890\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.890\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.890\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.890\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.900\n", + "J_n integrated over the domain: 8.024 at time: 1.900\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.900\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.900\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.900\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.900\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.910\n", + "J_n integrated over the domain: 5.652 at time: 1.910\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.910\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.910\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.910\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.910\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.920\n", + "J_n integrated over the domain: 3.678 at time: 1.920\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.920\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.920\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.920\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.920\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.930\n", + "J_n integrated over the domain: 2.228 at time: 1.930\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.930\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.930\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.930\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.930\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.940\n", + "J_n integrated over the domain: 1.391 at time: 1.940\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.940\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.940\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.940\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.940\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.950\n", + "J_n integrated over the domain: 1.221 at time: 1.950\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.950\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.950\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.950\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.950\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.960\n", + "J_n integrated over the domain: 1.729 at time: 1.960\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.960\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.960\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.960\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.960\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.970\n", + "J_n integrated over the domain: 2.881 at time: 1.970\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.970\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.970\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.970\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.970\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.980\n", + "J_n integrated over the domain: 4.607 at time: 1.980\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.980\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.980\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.980\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.980\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.990\n", + "J_n integrated over the domain: 6.797 at time: 1.990\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.990\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.990\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.990\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.990\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 12.000 at time: 2.000\n", + "J_n integrated over the domain: 9.314 at time: 2.000\n", + "Well-posedness condition 3J - J_n > 0: True at time 2.000\n", + "d (def. map) integrated over the domain: 148.000 at time: 2.000\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 2.000\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 2.000\n", + "\n", + "DoF for Velocity Space (U): 3298\n", + "DoF for Pressure Space (P): 1649\n", + "Solution Computed in 35.108 seconds\n", + "\n", + "----------------Computation Completed!----------------\n", + "\n", + "\n", + "Initializing iNSE problem with Deformation type: High_Osc_con\n", + "\n", + "\n", + "Setup with initial condition: True\n", + "Using a non-zero initial condition (2D-Gaussian) for the velocity field!\n", + "Defining forms associated to Chorin-Temam scheme...\n", + "Using LU Solver...\n", + "Starting iteration over time...\n", + "E (Energy) of initial t. velocity: 0.01648 at time 0.000\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.010\n", + "J_n integrated over the domain: 12.000 at time: 0.010\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.010\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.010\n", + "Strain energy E( eps(|u|^2) ): 0.00023 at time 0.010\n", + "Residual of scheme -> 'delta' value: -0.00065 at time 0.010\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.020\n", + "J_n integrated over the domain: 9.314 at time: 0.020\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.020\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.020\n", + "Strain energy E( eps(|u|^2) ): 0.00043 at time 0.020\n", + "Residual of scheme -> 'delta' value: -0.00012 at time 0.020\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.030\n", + "J_n integrated over the domain: 6.797 at time: 0.030\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.030\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.030\n", + "Strain energy E( eps(|u|^2) ): 0.00038 at time 0.030\n", + "Residual of scheme -> 'delta' value: -0.00011 at time 0.030\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.040\n", + "J_n integrated over the domain: 4.607 at time: 0.040\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.040\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.040\n", + "Strain energy E( eps(|u|^2) ): 0.00020 at time 0.040\n", + "Residual of scheme -> 'delta' value: -0.00009 at time 0.040\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.050\n", + "J_n integrated over the domain: 2.881 at time: 0.050\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.050\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.050\n", + "Strain energy E( eps(|u|^2) ): 0.00006 at time 0.050\n", + "Residual of scheme -> 'delta' value: -0.00004 at time 0.050\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.060\n", + "J_n integrated over the domain: 1.729 at time: 0.060\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.060\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.060\n", + "Strain energy E( eps(|u|^2) ): 0.00001 at time 0.060\n", + "Residual of scheme -> 'delta' value: -0.00001 at time 0.060\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.070\n", + "J_n integrated over the domain: 1.221 at time: 0.070\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.070\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.070\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.070\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.070\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.080\n", + "J_n integrated over the domain: 1.391 at time: 0.080\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.080\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.080\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.080\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.080\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.090\n", + "J_n integrated over the domain: 2.228 at time: 0.090\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.090\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.090\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.090\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.090\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.100\n", + "J_n integrated over the domain: 3.678 at time: 0.100\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.100\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.100\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.100\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.100\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.110\n", + "J_n integrated over the domain: 5.652 at time: 0.110\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.110\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.110\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.110\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.110\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.120\n", + "J_n integrated over the domain: 8.024 at time: 0.120\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.120\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.120\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.120\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.120\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.130\n", + "J_n integrated over the domain: 10.646 at time: 0.130\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.130\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.130\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.130\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.130\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.140\n", + "J_n integrated over the domain: 13.354 at time: 0.140\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.140\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.140\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.140\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.140\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.150\n", + "J_n integrated over the domain: 15.976 at time: 0.150\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.150\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.150\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.150\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.150\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.160\n", + "J_n integrated over the domain: 18.348 at time: 0.160\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.160\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.160\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.160\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.160\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.170\n", + "J_n integrated over the domain: 20.322 at time: 0.170\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.170\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.170\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.170\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.170\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.180\n", + "J_n integrated over the domain: 21.772 at time: 0.180\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.180\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.180\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.180\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.180\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.190\n", + "J_n integrated over the domain: 22.609 at time: 0.190\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.190\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.190\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.190\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.190\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.200\n", + "J_n integrated over the domain: 22.779 at time: 0.200\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.200\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.200\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.200\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.200\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.210\n", + "J_n integrated over the domain: 22.271 at time: 0.210\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.210\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.210\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.210\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.210\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.220\n", + "J_n integrated over the domain: 21.119 at time: 0.220\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.220\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.220\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.220\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.220\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 17.203 at time: 0.230\n", + "J_n integrated over the domain: 19.393 at time: 0.230\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.230\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.230\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.230\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.230\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.240\n", + "J_n integrated over the domain: 17.203 at time: 0.240\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.240\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.240\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.240\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.240\n", + "\n", + "J integrated over the domain: 12.000 at time: 0.250\n", + "J_n integrated over the domain: 14.686 at time: 0.250\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.250\n", + "d (def. map) integrated over the domain: 148.000 at time: 0.250\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.250\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.250\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.260\n", + "J_n integrated over the domain: 12.000 at time: 0.260\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.260\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.260\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.260\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.260\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.270\n", + "J_n integrated over the domain: 9.314 at time: 0.270\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.270\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.270\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.270\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.270\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.280\n", + "J_n integrated over the domain: 6.797 at time: 0.280\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.280\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.280\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.280\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.280\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.290\n", + "J_n integrated over the domain: 4.607 at time: 0.290\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.290\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.290\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.290\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.290\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.300\n", + "J_n integrated over the domain: 2.881 at time: 0.300\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.300\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.300\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.300\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.300\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.310\n", + "J_n integrated over the domain: 1.729 at time: 0.310\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.310\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.310\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.310\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.310\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.320\n", + "J_n integrated over the domain: 1.221 at time: 0.320\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.320\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.320\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.320\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.320\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.330\n", + "J_n integrated over the domain: 1.391 at time: 0.330\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.330\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.330\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.330\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.330\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.340\n", + "J_n integrated over the domain: 2.228 at time: 0.340\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.340\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.340\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.340\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.340\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.350\n", + "J_n integrated over the domain: 3.678 at time: 0.350\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.350\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.350\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.350\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.350\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.360\n", + "J_n integrated over the domain: 5.652 at time: 0.360\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.360\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.360\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.360\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.360\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.370\n", + "J_n integrated over the domain: 8.024 at time: 0.370\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.370\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.370\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.370\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.370\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.380\n", + "J_n integrated over the domain: 10.646 at time: 0.380\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.380\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.380\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.380\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.380\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.390\n", + "J_n integrated over the domain: 13.354 at time: 0.390\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.390\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.390\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.390\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.390\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.400\n", + "J_n integrated over the domain: 15.976 at time: 0.400\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.400\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.400\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.400\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.400\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.410\n", + "J_n integrated over the domain: 18.348 at time: 0.410\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.410\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.410\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.410\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.410\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.420\n", + "J_n integrated over the domain: 20.322 at time: 0.420\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.420\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.420\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.420\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.420\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.430\n", + "J_n integrated over the domain: 21.772 at time: 0.430\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.430\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.430\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.430\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.430\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.440\n", + "J_n integrated over the domain: 22.609 at time: 0.440\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.440\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.440\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.440\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.440\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.450\n", + "J_n integrated over the domain: 22.779 at time: 0.450\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.450\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.450\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.450\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.450\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.460\n", + "J_n integrated over the domain: 22.271 at time: 0.460\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.460\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.460\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.460\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.460\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 19.393 at time: 0.470\n", + "J_n integrated over the domain: 21.119 at time: 0.470\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.470\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.470\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.470\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.470\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.480\n", + "J_n integrated over the domain: 19.393 at time: 0.480\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.480\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.480\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.480\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.480\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.490\n", + "J_n integrated over the domain: 17.203 at time: 0.490\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.490\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.490\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.490\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.490\n", + "\n", + "J integrated over the domain: 12.000 at time: 0.500\n", + "J_n integrated over the domain: 14.686 at time: 0.500\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.500\n", + "d (def. map) integrated over the domain: 148.000 at time: 0.500\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.500\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.500\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.510\n", + "J_n integrated over the domain: 12.000 at time: 0.510\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.510\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.510\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.510\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.510\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.520\n", + "J_n integrated over the domain: 9.314 at time: 0.520\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.520\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.520\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.520\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.520\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.530\n", + "J_n integrated over the domain: 6.797 at time: 0.530\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.530\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.530\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.530\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.530\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.540\n", + "J_n integrated over the domain: 4.607 at time: 0.540\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.540\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.540\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.540\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.540\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.550\n", + "J_n integrated over the domain: 2.881 at time: 0.550\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.550\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.550\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.550\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.550\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.560\n", + "J_n integrated over the domain: 1.729 at time: 0.560\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.560\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.560\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.560\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.560\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.570\n", + "J_n integrated over the domain: 1.221 at time: 0.570\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.570\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.570\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.570\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.570\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.580\n", + "J_n integrated over the domain: 1.391 at time: 0.580\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.580\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.580\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.580\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.580\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.590\n", + "J_n integrated over the domain: 2.228 at time: 0.590\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.590\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.590\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.590\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.590\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.600\n", + "J_n integrated over the domain: 3.678 at time: 0.600\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.600\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.600\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.600\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.600\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.610\n", + "J_n integrated over the domain: 5.652 at time: 0.610\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.610\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.610\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.610\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.610\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.620\n", + "J_n integrated over the domain: 8.024 at time: 0.620\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.620\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.620\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.620\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.620\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.630\n", + "J_n integrated over the domain: 10.646 at time: 0.630\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.630\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.630\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.630\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.630\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.640\n", + "J_n integrated over the domain: 13.354 at time: 0.640\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.640\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.640\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.640\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.640\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.650\n", + "J_n integrated over the domain: 15.976 at time: 0.650\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.650\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.650\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.650\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.650\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.660\n", + "J_n integrated over the domain: 18.348 at time: 0.660\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.660\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.660\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.660\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.660\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.670\n", + "J_n integrated over the domain: 20.322 at time: 0.670\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.670\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.670\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.670\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.670\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.680\n", + "J_n integrated over the domain: 21.772 at time: 0.680\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.680\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.680\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.680\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.680\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.690\n", + "J_n integrated over the domain: 22.609 at time: 0.690\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.690\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.690\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.690\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.690\n", + "\n", + "J integrated over the domain: 22.271 at time: 0.700\n", + "J_n integrated over the domain: 22.779 at time: 0.700\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.700\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.700\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.700\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.700\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 21.119 at time: 0.710\n", + "J_n integrated over the domain: 22.271 at time: 0.710\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.710\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.710\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.710\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.710\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.720\n", + "J_n integrated over the domain: 21.119 at time: 0.720\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.720\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.720\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.720\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.720\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.730\n", + "J_n integrated over the domain: 19.393 at time: 0.730\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.730\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.730\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.730\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.730\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.740\n", + "J_n integrated over the domain: 17.203 at time: 0.740\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.740\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.740\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.740\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.740\n", + "\n", + "J integrated over the domain: 12.000 at time: 0.750\n", + "J_n integrated over the domain: 14.686 at time: 0.750\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.750\n", + "d (def. map) integrated over the domain: 148.000 at time: 0.750\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.750\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.750\n", + "\n", + "J integrated over the domain: 9.314 at time: 0.760\n", + "J_n integrated over the domain: 12.000 at time: 0.760\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.760\n", + "d (def. map) integrated over the domain: 90.753 at time: 0.760\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.760\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.760\n", + "\n", + "J integrated over the domain: 6.797 at time: 0.770\n", + "J_n integrated over the domain: 9.314 at time: 0.770\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.770\n", + "d (def. map) integrated over the domain: 50.200 at time: 0.770\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.770\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.770\n", + "\n", + "J integrated over the domain: 4.607 at time: 0.780\n", + "J_n integrated over the domain: 6.797 at time: 0.780\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.780\n", + "d (def. map) integrated over the domain: 25.223 at time: 0.780\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.780\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.780\n", + "\n", + "J integrated over the domain: 2.881 at time: 0.790\n", + "J_n integrated over the domain: 4.607 at time: 0.790\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.790\n", + "d (def. map) integrated over the domain: 12.302 at time: 0.790\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.790\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.790\n", + "\n", + "J integrated over the domain: 1.729 at time: 0.800\n", + "J_n integrated over the domain: 2.881 at time: 0.800\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.800\n", + "d (def. map) integrated over the domain: 6.988 at time: 0.800\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.800\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.800\n", + "\n", + "J integrated over the domain: 1.221 at time: 0.810\n", + "J_n integrated over the domain: 1.729 at time: 0.810\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.810\n", + "d (def. map) integrated over the domain: 5.492 at time: 0.810\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.810\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.810\n", + "\n", + "J integrated over the domain: 1.391 at time: 0.820\n", + "J_n integrated over the domain: 1.221 at time: 0.820\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.820\n", + "d (def. map) integrated over the domain: 5.936 at time: 0.820\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.820\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.820\n", + "\n", + "J integrated over the domain: 2.228 at time: 0.830\n", + "J_n integrated over the domain: 1.391 at time: 0.830\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.830\n", + "d (def. map) integrated over the domain: 8.963 at time: 0.830\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.830\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.830\n", + "\n", + "J integrated over the domain: 3.678 at time: 0.840\n", + "J_n integrated over the domain: 2.228 at time: 0.840\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.840\n", + "d (def. map) integrated over the domain: 17.531 at time: 0.840\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.840\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.840\n", + "\n", + "J integrated over the domain: 5.652 at time: 0.850\n", + "J_n integrated over the domain: 3.678 at time: 0.850\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.850\n", + "d (def. map) integrated over the domain: 35.944 at time: 0.850\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.850\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.850\n", + "\n", + "J integrated over the domain: 8.024 at time: 0.860\n", + "J_n integrated over the domain: 5.652 at time: 0.860\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.860\n", + "d (def. map) integrated over the domain: 68.389 at time: 0.860\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.860\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.860\n", + "\n", + "J integrated over the domain: 10.646 at time: 0.870\n", + "J_n integrated over the domain: 8.024 at time: 0.870\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.870\n", + "d (def. map) integrated over the domain: 117.346 at time: 0.870\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.870\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.870\n", + "\n", + "J integrated over the domain: 13.354 at time: 0.880\n", + "J_n integrated over the domain: 10.646 at time: 0.880\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.880\n", + "d (def. map) integrated over the domain: 182.319 at time: 0.880\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.880\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.880\n", + "\n", + "J integrated over the domain: 15.976 at time: 0.890\n", + "J_n integrated over the domain: 13.354 at time: 0.890\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.890\n", + "d (def. map) integrated over the domain: 259.224 at time: 0.890\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.890\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.890\n", + "\n", + "J integrated over the domain: 18.348 at time: 0.900\n", + "J_n integrated over the domain: 15.976 at time: 0.900\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.900\n", + "d (def. map) integrated over the domain: 340.652 at time: 0.900\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.900\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.900\n", + "\n", + "J integrated over the domain: 20.322 at time: 0.910\n", + "J_n integrated over the domain: 18.348 at time: 0.910\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.910\n", + "d (def. map) integrated over the domain: 416.965 at time: 0.910\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.910\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.910\n", + "\n", + "J integrated over the domain: 21.772 at time: 0.920\n", + "J_n integrated over the domain: 20.322 at time: 0.920\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.920\n", + "d (def. map) integrated over the domain: 478.026 at time: 0.920\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.920\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.920\n", + "\n", + "J integrated over the domain: 22.609 at time: 0.930\n", + "J_n integrated over the domain: 21.772 at time: 0.930\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.930\n", + "d (def. map) integrated over the domain: 515.153 at time: 0.930\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.930\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.930\n", + "\n", + "J integrated over the domain: 22.779 at time: 0.940\n", + "J_n integrated over the domain: 22.609 at time: 0.940\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.940\n", + "d (def. map) integrated over the domain: 522.869 at time: 0.940\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.940\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.940\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 22.271 at time: 0.950\n", + "J_n integrated over the domain: 22.779 at time: 0.950\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.950\n", + "d (def. map) integrated over the domain: 500.016 at time: 0.950\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.950\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.950\n", + "\n", + "J integrated over the domain: 21.119 at time: 0.960\n", + "J_n integrated over the domain: 22.271 at time: 0.960\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.960\n", + "d (def. map) integrated over the domain: 450.001 at time: 0.960\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.960\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.960\n", + "\n", + "J integrated over the domain: 19.393 at time: 0.970\n", + "J_n integrated over the domain: 21.119 at time: 0.970\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.970\n", + "d (def. map) integrated over the domain: 380.093 at time: 0.970\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.970\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.970\n", + "\n", + "J integrated over the domain: 17.203 at time: 0.980\n", + "J_n integrated over the domain: 19.393 at time: 0.980\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.980\n", + "d (def. map) integrated over the domain: 299.941 at time: 0.980\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.980\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.980\n", + "\n", + "J integrated over the domain: 14.686 at time: 0.990\n", + "J_n integrated over the domain: 17.203 at time: 0.990\n", + "Well-posedness condition 3J - J_n > 0: True at time 0.990\n", + "d (def. map) integrated over the domain: 219.674 at time: 0.990\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 0.990\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 0.990\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.000\n", + "J_n integrated over the domain: 14.686 at time: 1.000\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.000\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.000\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.000\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.000\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.010\n", + "J_n integrated over the domain: 12.000 at time: 1.010\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.010\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.010\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.010\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.010\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.020\n", + "J_n integrated over the domain: 9.314 at time: 1.020\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.020\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.020\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.020\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.020\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.030\n", + "J_n integrated over the domain: 6.797 at time: 1.030\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.030\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.030\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.030\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.030\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.040\n", + "J_n integrated over the domain: 4.607 at time: 1.040\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.040\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.040\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.040\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.040\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.050\n", + "J_n integrated over the domain: 2.881 at time: 1.050\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.050\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.050\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.050\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.050\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.060\n", + "J_n integrated over the domain: 1.729 at time: 1.060\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.060\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.060\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.060\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.060\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.070\n", + "J_n integrated over the domain: 1.221 at time: 1.070\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.070\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.070\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.070\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.070\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.080\n", + "J_n integrated over the domain: 1.391 at time: 1.080\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.080\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.080\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.080\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.080\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.090\n", + "J_n integrated over the domain: 2.228 at time: 1.090\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.090\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.090\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.090\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.090\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.100\n", + "J_n integrated over the domain: 3.678 at time: 1.100\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.100\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.100\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.100\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.100\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.110\n", + "J_n integrated over the domain: 5.652 at time: 1.110\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.110\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.110\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.110\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.110\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.120\n", + "J_n integrated over the domain: 8.024 at time: 1.120\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.120\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.120\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.120\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.120\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.130\n", + "J_n integrated over the domain: 10.646 at time: 1.130\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.130\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.130\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.130\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.130\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.140\n", + "J_n integrated over the domain: 13.354 at time: 1.140\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.140\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.140\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.140\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.140\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.150\n", + "J_n integrated over the domain: 15.976 at time: 1.150\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.150\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.150\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.150\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.150\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.160\n", + "J_n integrated over the domain: 18.348 at time: 1.160\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.160\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.160\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.160\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.160\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.170\n", + "J_n integrated over the domain: 20.322 at time: 1.170\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.170\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.170\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.170\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.170\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.180\n", + "J_n integrated over the domain: 21.772 at time: 1.180\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.180\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.180\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.180\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.180\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 22.779 at time: 1.190\n", + "J_n integrated over the domain: 22.609 at time: 1.190\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.190\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.190\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.190\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.190\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.200\n", + "J_n integrated over the domain: 22.779 at time: 1.200\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.200\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.200\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.200\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.200\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.210\n", + "J_n integrated over the domain: 22.271 at time: 1.210\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.210\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.210\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.210\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.210\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.220\n", + "J_n integrated over the domain: 21.119 at time: 1.220\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.220\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.220\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.220\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.220\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.230\n", + "J_n integrated over the domain: 19.393 at time: 1.230\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.230\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.230\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.230\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.230\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.240\n", + "J_n integrated over the domain: 17.203 at time: 1.240\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.240\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.240\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.240\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.240\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.250\n", + "J_n integrated over the domain: 14.686 at time: 1.250\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.250\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.250\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.250\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.250\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.260\n", + "J_n integrated over the domain: 12.000 at time: 1.260\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.260\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.260\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.260\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.260\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.270\n", + "J_n integrated over the domain: 9.314 at time: 1.270\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.270\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.270\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.270\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.270\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.280\n", + "J_n integrated over the domain: 6.797 at time: 1.280\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.280\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.280\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.280\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.280\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.290\n", + "J_n integrated over the domain: 4.607 at time: 1.290\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.290\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.290\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.290\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.290\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.300\n", + "J_n integrated over the domain: 2.881 at time: 1.300\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.300\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.300\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.300\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.300\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.310\n", + "J_n integrated over the domain: 1.729 at time: 1.310\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.310\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.310\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.310\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.310\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.320\n", + "J_n integrated over the domain: 1.221 at time: 1.320\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.320\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.320\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.320\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.320\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.330\n", + "J_n integrated over the domain: 1.391 at time: 1.330\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.330\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.330\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.330\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.330\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.340\n", + "J_n integrated over the domain: 2.228 at time: 1.340\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.340\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.340\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.340\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.340\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.350\n", + "J_n integrated over the domain: 3.678 at time: 1.350\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.350\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.350\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.350\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.350\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.360\n", + "J_n integrated over the domain: 5.652 at time: 1.360\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.360\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.360\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.360\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.360\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.370\n", + "J_n integrated over the domain: 8.024 at time: 1.370\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.370\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.370\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.370\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.370\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.380\n", + "J_n integrated over the domain: 10.646 at time: 1.380\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.380\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.380\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.380\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.380\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.390\n", + "J_n integrated over the domain: 13.354 at time: 1.390\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.390\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.390\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.390\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.390\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.400\n", + "J_n integrated over the domain: 15.976 at time: 1.400\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.400\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.400\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.400\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.400\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.410\n", + "J_n integrated over the domain: 18.348 at time: 1.410\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.410\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.410\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.410\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.410\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.420\n", + "J_n integrated over the domain: 20.322 at time: 1.420\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.420\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.420\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.420\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.420\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.430\n", + "J_n integrated over the domain: 21.772 at time: 1.430\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.430\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.430\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.430\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.430\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 22.779 at time: 1.440\n", + "J_n integrated over the domain: 22.609 at time: 1.440\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.440\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.440\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.440\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.440\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.450\n", + "J_n integrated over the domain: 22.779 at time: 1.450\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.450\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.450\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.450\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.450\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.460\n", + "J_n integrated over the domain: 22.271 at time: 1.460\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.460\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.460\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.460\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.460\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.470\n", + "J_n integrated over the domain: 21.119 at time: 1.470\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.470\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.470\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.470\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.470\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.480\n", + "J_n integrated over the domain: 19.393 at time: 1.480\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.480\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.480\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.480\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.480\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.490\n", + "J_n integrated over the domain: 17.203 at time: 1.490\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.490\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.490\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.490\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.490\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.500\n", + "J_n integrated over the domain: 14.686 at time: 1.500\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.500\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.500\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.500\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.500\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.510\n", + "J_n integrated over the domain: 12.000 at time: 1.510\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.510\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.510\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.510\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.510\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.520\n", + "J_n integrated over the domain: 9.314 at time: 1.520\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.520\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.520\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.520\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.520\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.530\n", + "J_n integrated over the domain: 6.797 at time: 1.530\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.530\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.530\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.530\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.530\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.540\n", + "J_n integrated over the domain: 4.607 at time: 1.540\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.540\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.540\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.540\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.540\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.550\n", + "J_n integrated over the domain: 2.881 at time: 1.550\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.550\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.550\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.550\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.550\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.560\n", + "J_n integrated over the domain: 1.729 at time: 1.560\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.560\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.560\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.560\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.560\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.570\n", + "J_n integrated over the domain: 1.221 at time: 1.570\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.570\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.570\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.570\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.570\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.580\n", + "J_n integrated over the domain: 1.391 at time: 1.580\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.580\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.580\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.580\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.580\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.590\n", + "J_n integrated over the domain: 2.228 at time: 1.590\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.590\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.590\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.590\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.590\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.600\n", + "J_n integrated over the domain: 3.678 at time: 1.600\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.600\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.600\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.600\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.600\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.610\n", + "J_n integrated over the domain: 5.652 at time: 1.610\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.610\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.610\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.610\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.610\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.620\n", + "J_n integrated over the domain: 8.024 at time: 1.620\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.620\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.620\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.620\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.620\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.630\n", + "J_n integrated over the domain: 10.646 at time: 1.630\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.630\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.630\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.630\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.630\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.640\n", + "J_n integrated over the domain: 13.354 at time: 1.640\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.640\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.640\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.640\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.640\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.650\n", + "J_n integrated over the domain: 15.976 at time: 1.650\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.650\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.650\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.650\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.650\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.660\n", + "J_n integrated over the domain: 18.348 at time: 1.660\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.660\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.660\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.660\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.660\n", + "\n", + "J integrated over the domain: 21.772 at time: 1.670\n", + "J_n integrated over the domain: 20.322 at time: 1.670\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.670\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.670\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.670\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.670\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 22.609 at time: 1.680\n", + "J_n integrated over the domain: 21.772 at time: 1.680\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.680\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.680\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.680\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.680\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.690\n", + "J_n integrated over the domain: 22.609 at time: 1.690\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.690\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.690\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.690\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.690\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.700\n", + "J_n integrated over the domain: 22.779 at time: 1.700\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.700\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.700\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.700\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.700\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.710\n", + "J_n integrated over the domain: 22.271 at time: 1.710\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.710\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.710\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.710\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.710\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.720\n", + "J_n integrated over the domain: 21.119 at time: 1.720\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.720\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.720\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.720\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.720\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.730\n", + "J_n integrated over the domain: 19.393 at time: 1.730\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.730\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.730\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.730\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.730\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.740\n", + "J_n integrated over the domain: 17.203 at time: 1.740\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.740\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.740\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.740\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.740\n", + "\n", + "J integrated over the domain: 12.000 at time: 1.750\n", + "J_n integrated over the domain: 14.686 at time: 1.750\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.750\n", + "d (def. map) integrated over the domain: 148.000 at time: 1.750\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.750\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.750\n", + "\n", + "J integrated over the domain: 9.314 at time: 1.760\n", + "J_n integrated over the domain: 12.000 at time: 1.760\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.760\n", + "d (def. map) integrated over the domain: 90.753 at time: 1.760\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.760\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.760\n", + "\n", + "J integrated over the domain: 6.797 at time: 1.770\n", + "J_n integrated over the domain: 9.314 at time: 1.770\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.770\n", + "d (def. map) integrated over the domain: 50.200 at time: 1.770\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.770\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.770\n", + "\n", + "J integrated over the domain: 4.607 at time: 1.780\n", + "J_n integrated over the domain: 6.797 at time: 1.780\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.780\n", + "d (def. map) integrated over the domain: 25.223 at time: 1.780\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.780\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.780\n", + "\n", + "J integrated over the domain: 2.881 at time: 1.790\n", + "J_n integrated over the domain: 4.607 at time: 1.790\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.790\n", + "d (def. map) integrated over the domain: 12.302 at time: 1.790\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.790\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.790\n", + "\n", + "J integrated over the domain: 1.729 at time: 1.800\n", + "J_n integrated over the domain: 2.881 at time: 1.800\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.800\n", + "d (def. map) integrated over the domain: 6.988 at time: 1.800\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.800\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.800\n", + "\n", + "J integrated over the domain: 1.221 at time: 1.810\n", + "J_n integrated over the domain: 1.729 at time: 1.810\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.810\n", + "d (def. map) integrated over the domain: 5.492 at time: 1.810\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.810\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.810\n", + "\n", + "J integrated over the domain: 1.391 at time: 1.820\n", + "J_n integrated over the domain: 1.221 at time: 1.820\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.820\n", + "d (def. map) integrated over the domain: 5.936 at time: 1.820\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.820\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.820\n", + "\n", + "J integrated over the domain: 2.228 at time: 1.830\n", + "J_n integrated over the domain: 1.391 at time: 1.830\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.830\n", + "d (def. map) integrated over the domain: 8.963 at time: 1.830\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.830\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.830\n", + "\n", + "J integrated over the domain: 3.678 at time: 1.840\n", + "J_n integrated over the domain: 2.228 at time: 1.840\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.840\n", + "d (def. map) integrated over the domain: 17.531 at time: 1.840\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.840\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.840\n", + "\n", + "J integrated over the domain: 5.652 at time: 1.850\n", + "J_n integrated over the domain: 3.678 at time: 1.850\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.850\n", + "d (def. map) integrated over the domain: 35.944 at time: 1.850\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.850\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.850\n", + "\n", + "J integrated over the domain: 8.024 at time: 1.860\n", + "J_n integrated over the domain: 5.652 at time: 1.860\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.860\n", + "d (def. map) integrated over the domain: 68.389 at time: 1.860\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.860\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.860\n", + "\n", + "J integrated over the domain: 10.646 at time: 1.870\n", + "J_n integrated over the domain: 8.024 at time: 1.870\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.870\n", + "d (def. map) integrated over the domain: 117.346 at time: 1.870\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.870\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.870\n", + "\n", + "J integrated over the domain: 13.354 at time: 1.880\n", + "J_n integrated over the domain: 10.646 at time: 1.880\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.880\n", + "d (def. map) integrated over the domain: 182.319 at time: 1.880\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.880\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.880\n", + "\n", + "J integrated over the domain: 15.976 at time: 1.890\n", + "J_n integrated over the domain: 13.354 at time: 1.890\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.890\n", + "d (def. map) integrated over the domain: 259.224 at time: 1.890\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.890\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.890\n", + "\n", + "J integrated over the domain: 18.348 at time: 1.900\n", + "J_n integrated over the domain: 15.976 at time: 1.900\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.900\n", + "d (def. map) integrated over the domain: 340.652 at time: 1.900\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.900\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.900\n", + "\n", + "J integrated over the domain: 20.322 at time: 1.910\n", + "J_n integrated over the domain: 18.348 at time: 1.910\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.910\n", + "d (def. map) integrated over the domain: 416.965 at time: 1.910\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.910\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.910\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J integrated over the domain: 21.772 at time: 1.920\n", + "J_n integrated over the domain: 20.322 at time: 1.920\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.920\n", + "d (def. map) integrated over the domain: 478.026 at time: 1.920\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.920\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.920\n", + "\n", + "J integrated over the domain: 22.609 at time: 1.930\n", + "J_n integrated over the domain: 21.772 at time: 1.930\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.930\n", + "d (def. map) integrated over the domain: 515.153 at time: 1.930\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.930\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.930\n", + "\n", + "J integrated over the domain: 22.779 at time: 1.940\n", + "J_n integrated over the domain: 22.609 at time: 1.940\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.940\n", + "d (def. map) integrated over the domain: 522.869 at time: 1.940\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.940\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.940\n", + "\n", + "J integrated over the domain: 22.271 at time: 1.950\n", + "J_n integrated over the domain: 22.779 at time: 1.950\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.950\n", + "d (def. map) integrated over the domain: 500.016 at time: 1.950\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.950\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.950\n", + "\n", + "J integrated over the domain: 21.119 at time: 1.960\n", + "J_n integrated over the domain: 22.271 at time: 1.960\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.960\n", + "d (def. map) integrated over the domain: 450.001 at time: 1.960\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.960\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.960\n", + "\n", + "J integrated over the domain: 19.393 at time: 1.970\n", + "J_n integrated over the domain: 21.119 at time: 1.970\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.970\n", + "d (def. map) integrated over the domain: 380.093 at time: 1.970\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.970\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.970\n", + "\n", + "J integrated over the domain: 17.203 at time: 1.980\n", + "J_n integrated over the domain: 19.393 at time: 1.980\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.980\n", + "d (def. map) integrated over the domain: 299.941 at time: 1.980\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.980\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.980\n", + "\n", + "J integrated over the domain: 14.686 at time: 1.990\n", + "J_n integrated over the domain: 17.203 at time: 1.990\n", + "Well-posedness condition 3J - J_n > 0: True at time 1.990\n", + "d (def. map) integrated over the domain: 219.674 at time: 1.990\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 1.990\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 1.990\n", + "\n", + "J integrated over the domain: 12.000 at time: 2.000\n", + "J_n integrated over the domain: 14.686 at time: 2.000\n", + "Well-posedness condition 3J - J_n > 0: True at time 2.000\n", + "d (def. map) integrated over the domain: 148.000 at time: 2.000\n", + "Strain energy E( eps(|u|^2) ): 0.00000 at time 2.000\n", + "Residual of scheme -> 'delta' value: -0.00000 at time 2.000\n", + "\n", + "DoF for Velocity Space (U): 3298\n", + "DoF for Pressure Space (P): 1649\n", + "Solution Computed in 34.295 seconds\n", + "\n", + "----------------Computation Completed!----------------\n", + "\n", + "\n", + "----------------Simulations Done!----------------.\n", + "\n", + "\n", + "Computing error figures for both schemes...\n", + "\n", + "\n", + "All computations done and figures saved...\n", + "\n", + "\n", + "------------------------------------------\n", + "\n" + ] + } + ], + "source": [ + "from main import testing_ALE, testing_defs_ALE, testing_defs_ALE_CT\n", + "#testing_defs_ALE(solver_to_use='LU')\n", + "#testing_defs_ALE_CT(solver_to_use='LU')\n", + "dict_mt, dict_ct = testing_ALE(solver_to_use='LU') # 'LU', 'Krylov'" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Computing error figures for both schemes...\n", + "\n", + "\n", + "All computations done and figures saved...\n", + "\n", + "\n", + "------------------------------------------\n", + "\n" + ] + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "def testing_comparative_plots(dict_fields_mt: dict, dict_fields_ct: dict, *args) -> None:\n", + " \"\"\"\n", + " Computes error figures between the schemes with Jacobian evaluation at times {n, n+1}, i.e.\n", + " with explicit and implicit treatment of the time-derivative term.\n", + " ...\n", + " \n", + " Input Parameters\n", + " ----------------\n", + " dict_fields_mt : tuple -> (dict, dict, dict)\n", + " tuple containing dictionaries of fields (def, vel, pre) from the iNSE ALE Monolithic solver.\n", + " \n", + " dict_fields_ct : tupel -> (dict, dict, dict)\n", + " tuple containing dictionaries of fields (def, vel, pre) from the iNSE ALE CT solver. \n", + " \"\"\"\n", + " print(\"\\nComputing error figures for both schemes...\\n\")\n", + " # Creates dictionaries for \"expanding\" and \"contracting\" functions\n", + " # Time dictionary\n", + " time_list = {\n", + " 'MT': {jac_name: [] for jac_name in dict_fields_mt.keys()},\n", + " 'CT': {jac_name: [] for jac_name in dict_fields_ct.keys()}\n", + " }\n", + " # Numerical dissipation dictionary --> int (| J^{n+1} u^{n+1} - J^{n} u^{n} |)\n", + " dis_value_exp = {\n", + " 'MT': {jac_name: [] for jac_name in dict_fields_mt.keys()},\n", + " 'CT': {jac_name: [] for jac_name in dict_fields_ct.keys()}\n", + " }\n", + " dis_value_con = {\n", + " 'MT': {jac_name: [] for jac_name in dict_fields_mt.keys()},\n", + " 'CT': {jac_name: [] for jac_name in dict_fields_ct.keys()}\n", + " }\n", + " # Physical dissipation dictionary --> int ( 2*mu* | eps(u) |^2 )\n", + " eps_value_exp = {\n", + " 'MT': {jac_name: [] for jac_name in dict_fields_mt.keys()},\n", + " 'CT': {jac_name: [] for jac_name in dict_fields_ct.keys()}\n", + " }\n", + " eps_value_con = {\n", + " 'MT': {jac_name: [] for jac_name in dict_fields_mt.keys()},\n", + " 'CT': {jac_name: [] for jac_name in dict_fields_ct.keys()}\n", + " }\n", + " # 'delta' values dictionary\n", + " delta_value_exp = {\n", + " 'MT': {jac_name: [] for jac_name in dict_fields_mt.keys()},\n", + " 'CT': {jac_name: [] for jac_name in dict_fields_ct.keys()}\n", + " }\n", + " delta_value_con = {\n", + " 'MT': {jac_name: [] for jac_name in dict_fields_mt.keys()},\n", + " 'CT': {jac_name: [] for jac_name in dict_fields_ct.keys()}\n", + " }\n", + " # Normalized 'delta' values dictionary (w.r.t physical dissipation)\n", + " delta_hat_value_exp = {\n", + " 'MT': {jac_name: [] for jac_name in dict_fields_mt.keys()},\n", + " 'CT': {jac_name: [] for jac_name in dict_fields_ct.keys()}\n", + " }\n", + " delta_hat_value_con = {\n", + " 'MT': {jac_name: [] for jac_name in dict_fields_mt.keys()},\n", + " 'CT': {jac_name: [] for jac_name in dict_fields_ct.keys()}\n", + " }\n", + " # Normalized 'delta' values dictionary (w.r.t numerical dissipation)\n", + " delta_hat_dis_exp = {\n", + " 'MT': {jac_name: [] for jac_name in dict_fields_mt.keys()},\n", + " 'CT': {jac_name: [] for jac_name in dict_fields_ct.keys()}\n", + " }\n", + " delta_hat_dis_con = {\n", + " 'MT': {jac_name: [] for jac_name in dict_fields_mt.keys()},\n", + " 'CT': {jac_name: [] for jac_name in dict_fields_ct.keys()}\n", + " }\n", + " # Iterate over the different cases in MT (Monolithic) and CT (Chorin-Temam) schemes\n", + " for scheme in ['MT', 'CT']: # 'MT', 'CT'\n", + " if scheme == 'MT':\n", + " dict_fields = dict_fields_mt\n", + " else:\n", + " dict_fields = dict_fields_ct\n", + " # Iterate over different cases 'j_implicit', 'j_explicit'\n", + " for jac_name in dict_fields.keys():\n", + " dict_vel = dict_fields[jac_name][1]\n", + " for i in range(len(dict_vel['High_Osc_exp'])):\n", + " # Saving time steps\n", + " time_list[scheme][jac_name].append(dict_vel['High_Osc_exp'][i][1])\n", + " # Add 'delta' values\n", + " delta_value_exp[scheme][jac_name].append(dict_vel['High_Osc_exp'][i][2])\n", + " #delta_value_con[scheme][jac_name].append(dict_vel['High_Osc_con'][i][2])\n", + " # Add physical dissipation\n", + " eps_value_exp[scheme][jac_name].append(dict_vel['High_Osc_exp'][i][3])\n", + " #eps_value_con[scheme][jac_name].append(dict_vel['High_Osc_con'][i][3])\n", + " # Add numerical dissipation\n", + " dis_value_exp[scheme][jac_name].append(dict_vel['High_Osc_exp'][i][4])\n", + " #dis_value_con[scheme][jac_name].append(dict_vel['High_Osc_con'][i][4])\n", + " # Compute normalized 'delta' values w.r.t the physical dissipation\n", + " delta_hat_value_exp[scheme][jac_name].append(dict_vel['High_Osc_exp'][i][2]/dict_vel['High_Osc_exp'][i][3])\n", + " #delta_hat_value_con[scheme][jac_name].append(dict_vel['High_Osc_con'][i][2]/dict_vel['High_Osc_con'][i][3])\n", + " # Compute normalized 'delta' values w.r.t the numerical dissipation\n", + " delta_hat_dis_exp[scheme][jac_name].append(dict_vel['High_Osc_exp'][i][2]/dict_vel['High_Osc_exp'][i][4])\n", + " #delta_hat_dis_con[scheme][jac_name].append(dict_vel['High_Osc_con'][i][2]/dict_vel['High_Osc_con'][i][4])\n", + "\n", + " # Auxiliary indexes for plotting\n", + " # TODO: Test this line and automatize the \"100\"!\n", + " init = 0\n", + " out = 101 #len(time_list['CT']['j_implicit']) # at tau = 0.01, T = 2 --> 200 time steps\n", + "\n", + " # ---------------------- #\n", + " # DELTA VALUE CASE\n", + " # ---------------------- #\n", + " # CASE CT\n", + " plt.subplots(figsize=(10, 4))\n", + " # Top \n", + " lf_ax = plt.subplot(1, 2, 2)\n", + " lf_j_exp, = lf_ax.plot(time_list['CT']['j_explicit'][init:out], delta_value_exp['CT']['j_explicit'][init:out], color='blue', ls='--')\n", + " lf_j_imp, = lf_ax.plot(time_list['CT']['j_implicit'][init:out], delta_value_exp['CT']['j_implicit'][init:out], color='blue')\n", + " lf_ax.set_xlabel(r\"Simulation time [t]\")\n", + " lf_ax.set_ylabel(r\"$\\delta_{CT}$\", color='blue')\n", + " lf_ax.set_title(r\"Residual Energy $\\delta_{CT}$\")\n", + " lf_ax.tick_params(axis='y', labelcolor='blue')\n", + " lf_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0))\n", + " #rh_ax = lf_ax.twinx()\n", + " #rh_j_exp, = rh_ax.plot(time_list['CT']['j_explicit'][init:out], delta_value_con['CT']['j_explicit'][init:out], color='red', ls='--')\n", + " #rh_j_imp, = rh_ax.plot(time_list['CT']['j_implicit'][init:out], delta_value_con['CT']['j_implicit'][init:out], color='red')\n", + " #rh_ax.set_ylabel(r\"$\\delta_{CT}$ def. II\", color='red')\n", + " #rh_ax.tick_params(axis='y', labelcolor='red')\n", + " #rh_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0))\n", + " plt.legend((lf_j_exp, lf_j_imp), (r'CT $\\bigstar\\bigstar = n$', r'CT $\\bigstar\\bigstar = n+1$'), loc='center right')\n", + " plt.grid(True)\n", + " # CASE M\n", + " # Bottom\n", + " lf_ax = plt.subplot(1, 2, 1)\n", + " lf_j_exp, = lf_ax.plot(time_list['MT']['j_explicit'][init:out], delta_value_exp['MT']['j_explicit'][init:out], color='blue', ls='--')\n", + " lf_j_imp, = lf_ax.plot(time_list['MT']['j_implicit'][init:out], delta_value_exp['MT']['j_implicit'][init:out], color='blue')\n", + " lf_ax.set_xlabel(r\"Simulation time [t]\")\n", + " lf_ax.set_ylabel(r\"$\\delta_{M}$\", color='blue')\n", + " lf_ax.set_title(r\"Residual Energy $\\delta_{M}$\")\n", + " lf_ax.tick_params(axis='y', labelcolor='blue')\n", + " lf_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0))\n", + " #rh_ax = lf_ax.twinx()\n", + " #rh_j_exp, = rh_ax.plot(time_list['MT']['j_explicit'][init:out], delta_value_con['MT']['j_explicit'][init:out], color='red', ls='--')\n", + " #rh_j_imp, = rh_ax.plot(time_list['MT']['j_implicit'][init:out], delta_value_con['MT']['j_implicit'][init:out], color='red')\n", + " #rh_ax.set_ylabel(r\"$\\delta_{M}$ def. II\", color='red')\n", + " #rh_ax.tick_params(axis='y', labelcolor='red')\n", + " #rh_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0))\n", + " plt.legend((lf_j_exp, lf_j_imp), (r'M $\\bigstar\\bigstar = n$', r'M $\\bigstar\\bigstar = n+1$'), loc='center right')\n", + " plt.grid(True)\n", + " plt.subplots_adjust(hspace=0.8)\n", + " plt.tight_layout()\n", + " plt.savefig('Comparison_Delta_Value_GCL_{}_Solver_{}.png'.format(args[0], args[1]), dpi=300)\n", + " plt.close()\n", + "\n", + " # ---------------------- #\n", + " # NORMALIZED DELTA CASE (w.r.t physical dissipation)\n", + " # ---------------------- #\n", + " plt.subplots(figsize=(10, 4))\n", + " # CASE CT\n", + " # Top\n", + " lf_ax = plt.subplot(1, 2, 2)\n", + " lf_j_exp, = lf_ax.plot(time_list['CT']['j_explicit'][init:out], delta_hat_value_exp['CT']['j_explicit'][init:out], color='blue', ls='--')\n", + " lf_j_imp, = lf_ax.plot(time_list['CT']['j_implicit'][init:out], delta_hat_value_exp['CT']['j_implicit'][init:out], color='blue')\n", + " lf_ax.set_xlabel(r\"Simulation time [t]\")\n", + " lf_ax.set_ylabel(r\"$\\hat{\\delta}_{CT}$\", color='blue')\n", + " lf_ax.set_title(r\"Normalized value $\\hat{\\delta}_{CT}$\")\n", + " lf_ax.tick_params(axis='y', labelcolor='blue')\n", + " lf_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0))\n", + " #rh_ax = lf_ax.twinx()\n", + " #rh_j_exp, = rh_ax.plot(time_list['CT']['j_explicit'][init:out], delta_hat_value_con['CT']['j_explicit'][init:out], color='red', ls='--')\n", + " #rh_j_imp, = rh_ax.plot(time_list['CT']['j_implicit'][init:out], delta_hat_value_con['CT']['j_implicit'][init:out], color='red')\n", + " #rh_ax.set_ylabel(r\"$\\hat{\\delta}_{CT}$ def. II\", color='red')\n", + " #rh_ax.tick_params(axis='y', labelcolor='red')\n", + " #rh_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0))\n", + " plt.legend((lf_j_exp, lf_j_imp), (r'CT $\\bigstar\\bigstar = n$', r'CT $\\bigstar\\bigstar = n+1$'), loc='lower right')\n", + " plt.grid(True)\n", + " # CASE M\n", + " # Bottom\n", + " lf_ax = plt.subplot(1, 2, 1)\n", + " lf_j_exp, = lf_ax.plot(time_list['MT']['j_explicit'][init:out], delta_hat_value_exp['MT']['j_explicit'][init:out], color='blue', ls='--')\n", + " lf_j_imp, = lf_ax.plot(time_list['MT']['j_implicit'][init:out], delta_hat_value_exp['MT']['j_implicit'][init:out], color='blue')\n", + " lf_ax.set_xlabel(r\"Simulation time [t]\")\n", + " lf_ax.set_ylabel(r\"$\\hat{\\delta}_{M}$\", color='blue')\n", + " lf_ax.set_title(r\"Normalized value $\\hat{\\delta}_{M}$\")\n", + " lf_ax.tick_params(axis='y', labelcolor='blue')\n", + " lf_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0))\n", + " #rh_ax = lf_ax.twinx()\n", + " #rh_j_exp, = rh_ax.plot(time_list['MT']['j_explicit'][init:out], delta_hat_value_con['MT']['j_explicit'][init:out], color='red', ls='--')\n", + " #rh_j_imp, = rh_ax.plot(time_list['MT']['j_implicit'][init:out], delta_hat_value_con['MT']['j_implicit'][init:out], color='red')\n", + " #rh_ax.set_ylabel(r\"$\\hat{\\delta}_{M}$ def. II\", color='red')\n", + " #rh_ax.tick_params(axis='y', labelcolor='red')\n", + " #rh_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0))\n", + " plt.legend((lf_j_exp, lf_j_imp), (r'M $\\bigstar\\bigstar = n$', r'M $\\bigstar\\bigstar = n+1$'), loc='upper right')\n", + " plt.grid(True)\n", + " plt.subplots_adjust(hspace=0.8)\n", + " plt.tight_layout()\n", + " plt.savefig('Comparison_Delta_Hat_Value_GCL_{}_solver_{}.png'.format(args[0], args[1]), dpi=300)\n", + " plt.close()\n", + "\n", + " # ---------------------- #\n", + " # NORMALIZED DELTA CASE (w.r.t numerical dissipation)\n", + " # ---------------------- #\n", + " plt.subplots(figsize=(10, 4))\n", + " # CASE CT\n", + " # Top\n", + " lf_ax = plt.subplot(1, 2, 2)\n", + " lf_j_exp, = lf_ax.plot(time_list['CT']['j_explicit'][init:out], delta_hat_dis_exp['CT']['j_explicit'][init:out], color='blue', ls='--')\n", + " lf_j_imp, = lf_ax.plot(time_list['CT']['j_implicit'][init:out], delta_hat_dis_exp['CT']['j_implicit'][init:out], color='blue')\n", + " lf_ax.set_xlabel(r\"Simulation time [t]\")\n", + " lf_ax.set_ylabel(r\"$\\hat{\\delta}_{CT}$ dis. \", color='blue')\n", + " lf_ax.set_title(r\"Normalized value $\\hat{\\delta}_{CT}$ (dis)\")\n", + " lf_ax.tick_params(axis='y', labelcolor='blue')\n", + " lf_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0))\n", + " #rh_ax = lf_ax.twinx()\n", + " #rh_j_exp, = rh_ax.plot(time_list['CT']['j_explicit'][init:out], delta_hat_dis_con['CT']['j_explicit'][init:out], color='red', ls='--')\n", + " #rh_j_imp, = rh_ax.plot(time_list['CT']['j_implicit'][init:out], delta_hat_dis_con['CT']['j_implicit'][init:out], color='red')\n", + " #rh_ax.set_ylabel(r\"$\\hat{\\delta}_{CT}$ def. II\", color='red')\n", + " #rh_ax.tick_params(axis='y', labelcolor='red')\n", + " #rh_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0))\n", + " plt.legend((lf_j_exp, lf_j_imp), (r'CT $\\bigstar\\bigstar = n$', r'CT $\\bigstar\\bigstar = n+1$'), loc='lower right')\n", + " plt.grid(True)\n", + " # CASE M\n", + " # Bottom\n", + " lf_ax = plt.subplot(1, 2, 1)\n", + " lf_j_exp, = lf_ax.plot(time_list['MT']['j_explicit'][init:out], delta_hat_dis_exp['MT']['j_explicit'][init:out], color='blue', ls='--')\n", + " lf_j_imp, = lf_ax.plot(time_list['MT']['j_implicit'][init:out], delta_hat_dis_exp['MT']['j_implicit'][init:out], color='blue')\n", + " lf_ax.set_xlabel(r\"Simulation time [t]\")\n", + " lf_ax.set_ylabel(r\"$\\hat{\\delta}_{M}$ dis.\", color='blue')\n", + " lf_ax.set_title(r\"Normalized value $\\hat{\\delta}_{M}$ (dis)\")\n", + " lf_ax.tick_params(axis='y', labelcolor='blue')\n", + " lf_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0))\n", + " #rh_ax = lf_ax.twinx()\n", + " #rh_j_exp, = rh_ax.plot(time_list['MT']['j_explicit'][init:out], delta_hat_dis_con['MT']['j_explicit'][init:out], color='red', ls='--')\n", + " #rh_j_imp, = rh_ax.plot(time_list['MT']['j_implicit'][init:out], delta_hat_dis_con['MT']['j_implicit'][init:out], color='red')\n", + " #rh_ax.set_ylabel(r\"$\\hat{\\delta}_{M}$ def. II\", color='red')\n", + " #rh_ax.tick_params(axis='y', labelcolor='red')\n", + " #rh_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0))\n", + " plt.legend((lf_j_exp, lf_j_imp), (r'M $\\bigstar\\bigstar = n$', r'M $\\bigstar\\bigstar = n+1$'), loc='lower right')\n", + " plt.grid(True)\n", + " plt.subplots_adjust(hspace=0.8)\n", + " plt.tight_layout()\n", + " plt.savefig('Comparison_Delta_Hat_Dis_Value_GCL_{}_solver_{}.png'.format(args[0], args[1]), dpi=300)\n", + " plt.close()\n", + "\n", + " # ---------------------- #\n", + " # PHYSICAL DISSIPATION PLOT\n", + " # ---------------------- #\n", + " plt.subplots(figsize=(10, 4))\n", + " # CASE CT\n", + " # Top\n", + " lf_ax = plt.subplot(1, 2, 2)\n", + " lf_j_exp, = lf_ax.plot(time_list['CT']['j_explicit'][init:out], eps_value_exp['CT']['j_explicit'][init:out], color='blue', ls='--')\n", + " lf_j_imp, = lf_ax.plot(time_list['CT']['j_implicit'][init:out], eps_value_exp['CT']['j_implicit'][init:out], color='blue')\n", + " lf_ax.set_xlabel(r\"Simulation time [t]\")\n", + " lf_ax.set_ylabel(r\"CT\", color='blue')\n", + " lf_ax.set_title(r\"Physical Dissipation (CT)\")\n", + " lf_ax.tick_params(axis='y', labelcolor='blue')\n", + " lf_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0))\n", + " #rh_ax = lf_ax.twinx()\n", + " #rh_j_exp, = rh_ax.plot(time_list['CT']['j_explicit'][init:out], eps_value_con['CT']['j_explicit'][init:out], color='red', ls='--')\n", + " #rh_j_imp, = rh_ax.plot(time_list['CT']['j_implicit'][init:out], eps_value_con['CT']['j_implicit'][init:out], color='red')\n", + " #rh_ax.set_ylabel(r\"On def. II\", color='red')\n", + " #rh_ax.tick_params(axis='y', labelcolor='red')\n", + " #rh_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0))\n", + " plt.legend((lf_j_exp, lf_j_imp), \\\n", + " (r'CT $\\star\\star = n$', r'CT $\\bigstar\\bigstar = n+1$'), loc='lower right')\n", + " plt.grid(True)\n", + " # CASE M\n", + " # Bottom\n", + " lf_ax = plt.subplot(1, 2, 1)\n", + " lf_j_exp, = lf_ax.plot(time_list['MT']['j_explicit'][init:out], eps_value_exp['MT']['j_explicit'][init:out], color='blue', ls='--')\n", + " lf_j_imp, = lf_ax.plot(time_list['MT']['j_implicit'][init:out], eps_value_exp['MT']['j_implicit'][init:out], color='blue')\n", + " lf_ax.set_xlabel(r\"Simulation time [t]\")\n", + " lf_ax.set_ylabel(r\"M\", color='blue')\n", + " lf_ax.set_title(r\"Physical Dissipation (M)\")\n", + " lf_ax.tick_params(axis='y', labelcolor='blue')\n", + " lf_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0))\n", + " #rh_ax = lf_ax.twinx()\n", + " #rh_j_exp, = rh_ax.plot(time_list['MT']['j_explicit'][init:out], eps_value_con['MT']['j_explicit'][init:out], color='red', ls='--')\n", + " #rh_j_imp, = rh_ax.plot(time_list['MT']['j_implicit'][init:out], eps_value_con['MT']['j_implicit'][init:out], color='red')\n", + " #rh_ax.set_ylabel(r\"On def. II\", color='red')\n", + " #rh_ax.tick_params(axis='y', labelcolor='red')\n", + " #rh_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0))\n", + " plt.legend((lf_j_exp, lf_j_imp), (r'M $\\bigstar\\bigstar = n$', r'M $\\bigstar\\bigstar = n+1$'), loc='lower right')\n", + " plt.grid(True)\n", + " plt.subplots_adjust(hspace=0.8)\n", + " plt.tight_layout()\n", + " plt.savefig('Comparison_Eps_Value_GCL_{}_solver_{}.png'.format(args[0], args[1]), dpi=300)\n", + " plt.close()\n", + "\n", + " # ---------------------- #\n", + " # NUMERICAL DISSIPATION PLOT\n", + " # ---------------------- #\n", + " plt.subplots(figsize=(10, 4))\n", + " # CASE CT\n", + " # Top\n", + " lf_ax = plt.subplot(1, 2, 2)\n", + " lf_j_exp, = lf_ax.plot(time_list['CT']['j_explicit'][init:out], dis_value_exp['CT']['j_explicit'][init:out], color='blue', ls='--')\n", + " lf_j_imp, = lf_ax.plot(time_list['CT']['j_implicit'][init:out], dis_value_exp['CT']['j_implicit'][init:out], color='blue')\n", + " lf_ax.set_xlabel(r\"Simulation time [t]\")\n", + " lf_ax.set_ylabel(r\"CT\", color='blue')\n", + " lf_ax.set_title(r\"Numerical Dissipation (CT)\")\n", + " lf_ax.tick_params(axis='y', labelcolor='blue')\n", + " lf_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0))\n", + " #rh_ax = lf_ax.twinx()\n", + " #rh_j_exp, = rh_ax.plot(time_list['CT']['j_explicit'][init:out], dis_value_con['CT']['j_explicit'][init:out], color='red', ls='--')\n", + " #rh_j_imp, = rh_ax.plot(time_list['CT']['j_implicit'][init:out], dis_value_con['CT']['j_implicit'][init:out], color='red')\n", + " #rh_ax.set_ylabel(r\"On def. II\", color='red')\n", + " #rh_ax.tick_params(axis='y', labelcolor='red')\n", + " #rh_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0))\n", + " plt.legend((lf_j_exp, lf_j_imp), (r'CT $\\bigstar\\bigstar = n$', r'CT $\\bigstar\\bigstar = n+1$'), loc='lower right')\n", + " plt.grid(True)\n", + " # CASE M\n", + " # Bottom\n", + " lf_ax = plt.subplot(1, 2, 1)\n", + " lf_j_exp, = lf_ax.plot(time_list['MT']['j_explicit'][init:out], dis_value_exp['MT']['j_explicit'][init:out], color='blue', ls='--')\n", + " lf_j_imp, = lf_ax.plot(time_list['MT']['j_implicit'][init:out], dis_value_exp['MT']['j_implicit'][init:out], color='blue')\n", + " lf_ax.set_xlabel(r\"Simulation time [t]\")\n", + " lf_ax.set_ylabel(r\"M\", color='blue')\n", + " lf_ax.set_title(r\"Numerical Dissipation (M)\")\n", + " lf_ax.tick_params(axis='y', labelcolor='blue')\n", + " lf_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0))\n", + " #rh_ax = lf_ax.twinx()\n", + " #rh_j_exp, = rh_ax.plot(time_list['MT']['j_explicit'][init:out], dis_value_con['MT']['j_explicit'][init:out], color='red', ls='--')\n", + " #rh_j_imp, = rh_ax.plot(time_list['MT']['j_implicit'][init:out], dis_value_con['MT']['j_implicit'][init:out], color='red')\n", + " #rh_ax.set_ylabel(r\"On def. II\", color='red')\n", + " #rh_ax.tick_params(axis='y', labelcolor='red')\n", + " #rh_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0))\n", + " plt.legend((lf_j_exp, lf_j_imp), (r'M $\\bigstar\\bigstar = n$', r'M $\\bigstar\\bigstar = n+1$'), loc='lower right')\n", + " plt.grid(True)\n", + " plt.subplots_adjust(hspace=0.8)\n", + " plt.tight_layout()\n", + " plt.savefig('Comparison_Num_Dis_Value_GCL_{}_solver_{}.png'.format(args[0], args[1]), dpi=300)\n", + " plt.close()\n", + " print(\"\\nAll computations done and figures saved...\\n\")\n", + " print(\"\\n------------------------------------------\\n\")\n", + " return None\n", + "\n", + "testing_comparative_plots(dict_mt, dict_ct, True, 'LU')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.9" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/README.rst b/README.rst new file mode 100644 index 0000000..8bed904 --- /dev/null +++ b/README.rst @@ -0,0 +1,63 @@ +NavierStokes +============ + +This repository implements via finite element solvers for incompressible +Navier-Stokes (iNSE) equations in Arbitrary Lagrangian-Eulerian (ALE) formalism the schemes +proposed on [RA20]_. + +In particular, it aims to replicate the energy results shown in the article [RA20]_ +for both Monolithic and Chorin-Temam solvers. + +Solvers +------- + +Both monolithic solver and a fractional step solver are implemented. + +* Monolithic solver for the iNSE-ALE problem with linearized convective term +and Taylor-Hood (P2/P1) stable finite element space. + + +* Fractional step solver for the iNSE-ALE problem with linealized convective term +and P1/P1 finite element space. The Chorin-Temam schemes proposed is described in [RA20]_. + +Flow model +---------- + +A rectangle domain is taken with fully Dirichlet homogeneous boundary conditions +and non-zero initial velocity profile. Further description of the problem also can be found +in the reference. + +Usage +---------- + +Since the repository aims to directly reproduce the results of the reference, +no configuration files where implemented to further customize the problem. +Nevertheless, the solvers are easily modified since its implementation is done via +FEniCS [LO12]_. + +An ipynb file is included to reproduce the results and recommended to use. + +If desired to run the simulations only, execute:: + + python main.py + + +Dependencies +------------ + +- Python >= 3.5 +- FEniCS_ >= 2019.1.0 + + + +Reference +^^^^^^^^^^ + +.. [RA20] Aróstica R., Bertoglio C. (2020) On monolithic and Chorin-Temam + schemes for incompressible flows in moving domains. + Applied Mathematics Letters, doi: https://doi.org/10.1016/j.aml.2020.106830 + ISBN: 978-3-642-23099-8 + +.. [LO12] Logg A., Mardal K.-A., Wells G. N. (2012) Automated Solution of Differential + Equations by the Finite Element Method. + Springer, Berlin, Heidelberg, doi: https://doi.org/10.1007/978-3-642-23099-8 diff --git a/common.py b/common.py new file mode 100644 index 0000000..4ed5b7d --- /dev/null +++ b/common.py @@ -0,0 +1,54 @@ +""" +This module contains all common functions used in variational form. +All operators are defined with respect to the reference coordiantes. +""" +import fenics as fn + +__version__ = "0.1" +__author__ = "Reidmen Arostica" +__date__ = "25/06/2020" + +def F_(coordinates: fn.Function) -> fn.grad: + """ + Computes the deformation gradient operator (dx/dX). + """ + return fn.grad(coordinates) + +def inv_F_(coordinates: fn.Function) -> fn.inv: + """ + Computes the inverse of the deformation gradient. + """ + return fn.inv(F_(coordinates)) + +def J_(coordinates: fn.Function) -> fn.det: + """ + Computes the determinant of the deformation gradient. + """ + return fn.det(F_(coordinates)) + +def grad_(u: fn.Function, coordinates: fn.Function) -> fn.Function: + """ + Computes the grad operator on the reference configuration. + """ + inv_F = fn.inv(F_(coordinates)) + return fn.dot(fn.grad(u), inv_F) + +def nabla_grad_(u: fn.Function, coordinates: fn.Function) -> fn.Function: + """ + Computes the nabla_grad on the reference configuration. + """ + return grad_(u, coordinates).T + +def sym_grad_(u: fn.Function, coordinates: fn.Function) -> fn.Function: + """ + Computes the symmetric gradient operator w.r.t. the reference configuration. + """ + return 0.5*(grad_(u, coordinates) + grad_(u, coordinates).T) + +def div_(u: fn.Function, coordinates: fn.Function) -> fn.tr: + """ + Computes the Piola div operator w.r.t. the reference configuration. + """ + J = J_(coordinates) + inv_F = inv_F_(coordinates) + return fn.div(J*fn.dot(inv_F, u)) diff --git a/main.py b/main.py new file mode 100644 index 0000000..1d2c3ed --- /dev/null +++ b/main.py @@ -0,0 +1,144 @@ +__version__ = "0.2" +__author__ = "Reidmen Arostica" +__date__ = "18/07/2020" + +# Libraries +from solvers import iNSE_Monolithic_Solver, iNSE_CT_Solver +from solvers import testing_comparative_plots + +# Basic info to user +# print("SOLVER VERSION: {}".format(__version__)) +# print("__author__: {}".format(__author__)) + + +def testing_defs_ALE(solver_to_use='LU', gcl_stab=True, jac_at_n=False): + """ + Computes the iNSE problem under several deformations (including the Identity). + - Identity -> ('x[0]', 'x[1]') + - High Oscillation (init with expansion ) -> ('x[0]*(1+0.9*sin(16*pi*t/2))', 'x[1]') + - High Oscillation (init with contraction) -> ('x[0]*(1+0.9*sin(16*pi*t/2))', 'x[1]') + """ + print("""Initializing testing of two deformation cases with input parameters: + Solver to use -solver_to_use- : {} + GCL-stabilization term -gcl_stab- : {} + Evaluation of jacobian at n in time-derivate term -jac_at_n- : {} + """.format(solver_to_use, gcl_stab, jac_at_n)) + # Define dict of deformation used and output names + dict_def = { + # 'Identity': ('x[0] + 0*t', 'x[1]'), + 'High_Osc_exp': ('x[0]*(1+0.9*sin(16*pi*t/2))', 'x[1]'), + 'High_Osc_con': ('x[0]*(1-0.9*sin(16*pi*t/2))', 'x[1]') + } + dict_def_names = { + # 'Identity': ('Idx', 'Idy'), + 'High_Osc_exp': ('High_Osc_exp', 'Idy'), + 'High_Osc_con': ('High_Osc_con', 'Idy') + } + dict_defs = {def_type: None for def_type in dict_def.keys()} + dict_vels = {def_type: None for def_type in dict_def.keys()} + dict_pres = {def_type: None for def_type in dict_def.keys()} + for def_type in dict_defs.keys(): + print("\nInitializing iNSE problem with Deformation type: {}\n".format(def_type)) + parameters = { + 'gcl_stab': gcl_stab, # True, False whenever we want to impose CGL in the scheme + 'jac_at_n': jac_at_n, # Choose True, False for taking the Jacobian evaluated at time k+1 or k + 'init_cond': True, + 'Nx': 6*16, + 'Ny': 16, + 'T': 2.0, #0.5, 1.0, 2.0 + 'mu': 0.035, + 'rho_f': 1.2, + 'tau': 0.01, # 0.01 + 'deg_U': 2, + 'deg_P': 1 + } + deformation = { + 'expression': dict_def[def_type], + 'output_name': dict_def_names[def_type] + } + stabilization = { + 'type': None + } + print("\nSetup with initial condition: {}".format(True)) + dict_defs[def_type], dict_vels[def_type], dict_pres[def_type] = iNSE_Monolithic_Solver(parameters, deformation, stabilization, solver_to_use=solver_to_use) + print("\n----------------Computation Completed!----------------\n") + print("\n----------------Simulations Done!----------------.\n") + + # Return dictionaries with values for further processing... + return dict_defs, dict_vels, dict_pres + + +def testing_defs_ALE_CT(solver_to_use='LU', gcl_stab=True, jac_at_n=False): + """ + Computes the iNSE problem under several deformations (including the Identity). + - Identity -> ('x[0]', 'x[1]') + - High Oscillation (init with expansion ) -> ('x[0]*(1+0.9*sin(16*pi*t/2))', 'x[1]') + - High Oscillation (init with contraction) -> ('x[0]*(1+0.9*sin(16*pi*t/2))', 'x[1]') + """ + print("""Initializing testing of two deformation cases with input parameters: + Solver to use -solver_to_use- : {} + """.format(solver_to_use)) + # Define dict of deformation used and output names + dict_def = { + # 'Identity': ('x[0] + 0*t', 'x[1]'), + 'High_Osc_exp': ('x[0]*(1+0.9*sin(16*pi*t/2))', 'x[1]'), + 'High_Osc_con': ('x[0]*(1-0.9*sin(16*pi*t/2))', 'x[1]') + } + dict_def_names = { + # 'Identity': ('Idx', 'Idy'), + 'High_Osc_exp': ('High_Osc_exp', 'Idy'), + 'High_Osc_con': ('High_Osc_con', 'Idy') + } + dict_defs = {def_type: None for def_type in dict_def.keys()} + dict_vels = {def_type: None for def_type in dict_def.keys()} + dict_pres = {def_type: None for def_type in dict_def.keys()} + for def_type in dict_defs.keys(): + print("\nInitializing iNSE problem with Deformation type: {}\n".format(def_type)) + parameters = { + 'gcl_stab': gcl_stab, + 'jac_at_n': jac_at_n, + 'init_cond': True, + 'Nx': 6*16, + 'Ny': 16, + 'T': 2.0, #0.5, 1.0, 2.0 + 'mu': 0.035, + 'rho_f': 1.2, + 'tau': 0.01, # 0.01 + 'deg_U': 1, + 'deg_P': 1 + } + deformation = { + 'expression': dict_def[def_type], + 'output_name': dict_def_names[def_type] + } + stabilization = { + 'type': None + } + print("\nSetup with initial condition: {}".format(True)) + dict_defs[def_type], dict_vels[def_type], dict_pres[def_type] = iNSE_CT_Solver(parameters, deformation, stabilization, solver_to_use=solver_to_use) + print("\n----------------Computation Completed!----------------\n") + print("\n----------------Simulations Done!----------------.\n") + + # Return dictionaries with values for further processing... + return dict_defs, dict_vels, dict_pres + + +def testing_ALE(solver_to_use='LU', gcl_stab=True): + """ + Computes testing_defs_ALE (each deformation case) for two different monolithic schemes, i.e. + using evaluation of J at {n, n+1}, both with GCL + Temam stabilizations. + """ + print("The solution of the linear system is done with built-in PETS Krylov solver.") + dict_fields_mt = {jac_name: None for jac_name in ['j_implicit', 'j_explicit']} + dict_fields_ct = {jac_name: None for jac_name in ['j_implicit', 'j_explicit']} + for jac_name, jac_at_n in zip(['j_implicit', 'j_explicit'], [False, True]): + dict_fields_mt[jac_name] = testing_defs_ALE(solver_to_use=solver_to_use, gcl_stab=gcl_stab, jac_at_n=jac_at_n) + dict_fields_ct[jac_name] = testing_defs_ALE_CT(solver_to_use=solver_to_use, gcl_stab=gcl_stab, jac_at_n=jac_at_n) + # Generate comparative figures for cases 'j_implicit', 'j_explicit' + testing_comparative_plots(dict_fields_mt, dict_fields_ct, gcl_stab, solver_to_use) + return dict_fields_mt, dict_fields_ct + +if __name__ == "__main__": + #testing_defs_ALE_CT(solver_to_use='Krylov') + #testing_defs_ALE(solver_to_use='LU') + testing_ALE(solver_to_use='LU') # 'LU', 'Krylov' \ No newline at end of file diff --git a/solvers.py b/solvers.py new file mode 100644 index 0000000..cc749cc --- /dev/null +++ b/solvers.py @@ -0,0 +1,1005 @@ +""" +This module contains the problem definition and solver for iNSE ALE article. +It enables to replicate all results +""" +__version__ = "0.2" +__author__ = "Reidmen Arostica" +__date__ = "18/07/2020" + +# Libraries +import fenics as fn +from dolfin import __version__ as df_version +import numpy as np +import matplotlib.pyplot as plt +import time +from common import * + +# Basic info to user +print("DOLFIN VERSION: {}".format(df_version)) +print("SOLVER VERSION: {}".format(__version__)) +print("__author__: {}".format(__author__)) + + +def iNSE_Monolithic_Solver(parameters, deformation, stabilization, solver_to_use='LU'): + """ This solver computes the incompressible Navier-Stokes (iNSE) problem in the ALE formalism. + To do so, the FEniCS framework is used and the convective term within iNSE is linealized. + To solve the problem, a monolithic scheme is employed with finite diferences for time + and FE for space. + ... + + Input Parameters + ---------------- + parameter: dict + dictionary containing several options for the scheme used. + deformation: dict + dictionary containing deformation mapping properties and options. + stabilization: dict + dictionary specifying stabilization used. + + + Output + ---------------- + None. + The solver print the results to console, and returns None, saving solutions and figures. + """ + # Starting time + start = time.time() + # Default parameters + mu, rho_f = parameters['mu'], parameters['rho_f'] + Nx, Ny = parameters['Nx'], parameters['Ny'] + tau, T = parameters['tau'], parameters['T'] + + def def_mesh_tuple(def_params: dict) -> tuple: + """ + Computes a list (len 2) containing the parametrized mesh velocity. + ... + + Input Parameters + ---------------- + def_params: dict + dictionary with keys 'expression' and 'output_name'. + + """ + if 'expression' in def_params.keys(): + if 'output_name' in def_params.keys(): + output_name = def_params['output_name'] + else: + output_name = ('X', 'Y') + return def_params['expression'], output_name + else: + raise Exception("Key 'expression' was not found in the dictionary!") + + def exps_at_bdry(bdry_params: dict, def_params): + """ + Computes the boundary FEniCS expressions for this particular Dirichlet Homogeneous case. + """ + u_inlet = fn.Constant((0.0, 0.0)) + u_outlet = fn.Constant((0.0, 0.0)) + u_bottom = fn.Constant((0.0, 0.0)) + u_top = fn.Constant((0.0, 0.0)) + return u_inlet, u_outlet, u_bottom, u_top + + # Define boundary domain classes + class inlet(fn.SubDomain): + def inside(self, x, on_boundary): + return fn.near(x[0], 0) and on_boundary + class outlet(fn.SubDomain): + def inside(self, x, on_boundary): + return fn.near(x[0], 6) and on_boundary + class top(fn.SubDomain): + def inside(self, x, on_boundary): + return fn.near(x[1], 1) and on_boundary + class bottom(fn.SubDomain): + def inside(self, x, on_boundary): + return fn.near(x[1], -1) and on_boundary + + # Define mesh object + mesh_f = fn.RectangleMesh(fn.Point(0, -1), fn.Point(6, 1), Nx, Ny) + #h = fn.CellDiameter(mesh_f) + + # Obtain mesh deformation tuple and output name + def_tuple, def_name = def_mesh_tuple(deformation) + + # Define displacement expressions at previous and actual time stepss + def_n = fn.Expression(def_tuple, t=0.0, domain=mesh_f, degree=2) + def_t = fn.Expression(def_tuple, t=tau, domain=mesh_f, degree=2) + + # Functional Spaces (Mixed Element) + U = fn.VectorElement("CG", mesh_f.ufl_cell(), parameters['deg_U']) + P = fn.FiniteElement("CG", mesh_f.ufl_cell(), parameters['deg_P']) + M = fn.FunctionSpace(mesh_f, fn.MixedElement([U, P])) + + # Functional spaces (Separately) + U_ = fn.VectorFunctionSpace(mesh_f, "CG", parameters['deg_U']) + P_ = fn.FunctionSpace(mesh_f, "CG", parameters['deg_P']) + + # Assigner between spaces + assigner_to_M = fn.FunctionAssigner(M, [U_, P_]) + assigner_to_UP = fn.FunctionAssigner([U_, P_], M) + + # Boundary expressions in the reference domain + u_inflow, u_outflow, u_bottom, u_top = exps_at_bdry(parameters, deformation) + # Define and mark boundaries + bdry_markers = fn.MeshFunction('size_t', mesh_f, mesh_f.topology().dim()-1) + inlet().mark(bdry_markers, 1) # Inlet marked with label 1 + outlet().mark(bdry_markers, 2) # Outlet marked with label 2 + bottom().mark(bdry_markers, 3) # Bottom marked with label 3 + top().mark(bdry_markers, 4) # Top marked with label 4 + + # Define measures for weak formulation + dx_f = fn.Measure('dx', domain=mesh_f, subdomain_data=bdry_markers) + #ds_f = fn.Measure('ds', domain=mesh_f, subdomain_data=bdry_markers) + + # Define boundary conditions with pressure condition to obtain uniqueness (case LU solver!) + bdries = [fn.DirichletBC(M.sub(0), u_inflow, bdry_markers, 1), + fn.DirichletBC(M.sub(0), u_outflow, bdry_markers, 2), + fn.DirichletBC(M.sub(0), u_bottom, bdry_markers, 3), + fn.DirichletBC(M.sub(0), u_top, bdry_markers, 4), + fn.DirichletBC(M.sub(1), fn.Constant(0.), "near(x[0], 0) && near(x[1], 0)", 'pointwise')] + + # Trial/Test function definition + (u, p) = fn.TrialFunctions(M) + (v, q) = fn.TestFunctions(M) + aux_n = fn.Function(M, name='MixedSolution') + # Define initial condition (non-zero) + if parameters["init_cond"] == True: + print("Using a non-zero initial condition (2D-Gaussian) for the velocity field!") + cpp_aux = '0.001*(1 - pow(x[1], 2))*x[0]*(6 - x[0])' + aux_n.assign(fn.Expression((cpp_aux, '0.', '0.'), domain=mesh_f, degree=2)) + u_n, _ = fn.split(aux_n) + else: + u_n, _ = fn.split(aux_n) + + # Define normal for backflow stabilization term + #N = fn.FacetNormal(mesh_f) + # Compute its jacobians + J_n = J_(def_n) + J = J_(def_t) + # Define operators wrt to the reference domain + grad = lambda u: grad_(u, def_t) + sym_grad = lambda u: sym_grad_(u, def_t) + #inv_F = inv_F_(def_t) + div = lambda u: div_(u, def_t) + # Define domain velocity as a first order finite difference + w = (def_t - def_n)/tau + + # All formulations contain GCL + Temam's stabilization term + if parameters['gcl_stab'] == True: + if parameters['jac_at_n'] == False: + print("Using time-derivative term approximated with Jacobian at n+1...") + F = fn.Constant(rho_f/tau)*J*fn.inner(u - u_n, v)*dx_f\ + + fn.Constant(0.5*rho_f/tau)*(J - J_n)*fn.inner(u, v)*dx_f\ + + fn.Constant(0.5*rho_f)*div(u_n - w)*fn.inner(u, v)*dx_f + else: + print("Using time-derivative term approximated with Jacobian at n...") + F = fn.Constant(rho_f/tau)*J_n*fn.inner(u - u_n, v)*dx_f\ + + fn.Constant(0.5*rho_f/tau)*(J - J_n)*fn.inner(u, v)*dx_f\ + + fn.Constant(0.5*rho_f)*div(u_n - w)*fn.inner(u, v)*dx_f + else: + raise Exception("Solver implemented only for cases with 'gcl_stab': True") + + # Adding remaining term of the weak formulation + # The convective term is linearized! + F += fn.Constant(rho_f)*J*fn.dot(fn.dot(grad(u), u_n - w), v)*dx_f\ + + fn.Constant(2*mu)*J*fn.inner(sym_grad(u), sym_grad(v))*dx_f\ + - p*div(v)*dx_f + q*div(u)*dx_f + + # Add stabilization when required + if stabilization['type'] == None: + pass + else: + raise Exception("Other stabilization not required for this monolithic test model!") + + # Obtain lhs and rhs + a, L = fn.lhs(F), fn.rhs(F) + # Assemble lhs of the formulation + A = fn.PETScMatrix() + fn.assemble(a, tensor = A) + # Define Krylov solver for the problem + if solver_to_use == 'LU': + print("Using LU Solver...") + solver = fn.LUSolver() + solver.set_operator(A) + elif solver_to_use == 'Krylov': + krylov_method = 'gmres'#'minres', 'gmres', 'bicgstab' + precond = 'icc'#'ilu', 'icc', 'hypre_amg', 'amg' + print("Using Krylov Solver --> Method: {}, Precond: {}\n".format(krylov_method, precond)) + solver = fn.PETScKrylovSolver(krylov_method, precond) + solver.set_operator(A) + + # TODO: Remove the zero-mean space for pressure fields + # Create normalized vector that spans the pressure null space (P) + p_ = fn.Function(P_) + null_p_vec = fn.Vector(p_.vector()) + P_.dofmap().set(null_p_vec, 1.0) + null_p_vec *= 1.0/null_p_vec.norm("l2") + p_.vector()[:] = null_p_vec + # Create zero-vector that spans M by Function assigning it + null_func = fn.Function(M) + u_ = fn.Function(U_) + assigner_to_M.assign(null_func, [u_, p_]) + null_vec = fn.Vector(null_func.vector()) + # Create null space basis object and attach to PETSc matrix + null_space = fn.VectorSpaceBasis([null_vec]) + fn.as_backend_type(A).set_nullspace(null_space) + + fn.PETScOptions.set("ksp_monitor") + #solver.parameters['monitor_convergence'] = True + solver.parameters['maximum_iterations'] = 300 + solver.parameters['relative_tolerance'] = 1E-2 + solver.parameters['absolute_tolerance'] = 1E-4 + + else: + raise Exception("Solver type not implemented, available choices: 'LU', 'Krylov'") + + # Define nicely the output file to save! + base_name = "iNSE_ALE" + base_name += "_{}_{}".format(def_name[0], def_name[1]) + base_name += "_P{}P{}_GCL_{}".format(parameters['deg_U'], parameters['deg_P'], parameters['gcl_stab']) + + if stabilization['type'] == None: + filename = base_name + "_NoStab.xdmf" + else: + raise Exception("Other stabilizations not implemented!") + # Create XDMF file (It saves multiple fields) + file_output = fn.XDMFFile('tests/rectangle/'+filename) + file_output.parameters['functions_share_mesh'] = True + + # Starts from dt, we take at 0 the initial solution + print("Starting iteration over time...") + saved_defs = [] + saved_vels = [] + saved_pres = [] + # Depending on time step tau, output some results to user! + if tau == 0.1 and T <= 1: nb = 2 + else: nb = 1 + # Saving velocity and deformation fields at time t = 0. + u_n, _ = aux_n.split(deepcopy=True) + file_output.write(u_n, 0.0) + energy_assembled = fn.assemble(J_n*fn.inner(u_n, u_n)*dx_f)*0.5*rho_f/tau + print("E (Energy) of initial velocity field: {:.5f} at time {:2.3f}\n".format(energy_assembled, 0.0)) + aux_ = fn.Function(M.sub(0).collapse(), name="Deformation") + aux_.assign(fn.project(def_n, M.sub(0).collapse())) + file_output.write(aux_, 0.0) + # Main iteration + for count, t in enumerate(np.arange(tau, T+tau, tau)): + # re-Assemble lhs vector + fn.assemble(a, tensor=A) + [bc.apply(A) for bc in bdries] + # Assemble rhs vector (changes over time) + b = fn.assemble(L) + + # if Krylov solver is used, then ortogonalize also b + if solver_to_use == 'Krylov': + null_space.orthogonalize(b) + + [bc.apply(b) for bc in bdries] + + # Solve linear system and save solution + aux = fn.Function(M, name="MixedSolution") + num_iters = solver.solve(aux.vector(), b) + # Split and save velocity field + u, p = aux.split(deepcopy=True) + file_output.write(u, t) + # Saving computed + aux_ = fn.Function(M.sub(0).collapse(), name="Deformation") + aux_.assign(fn.project(def_t, M.sub(0).collapse())) + file_output.write(aux_, t) + # Print only a couple of solutions to the user! + if count % nb == 0: + J_assembled = fn.assemble(J*dx_f) + J_n_assembled = fn.assemble(J_n*dx_f) + def_assembled = fn.assemble(fn.dot(def_t, def_t)*dx_f) + #w_assembled = fn.assemble(fn.dot(w, w)*dx_f) + energy_assembled = fn.assemble(J*fn.inner(u, u)*dx_f)*0.5*rho_f/tau + energy_n_assembled = fn.assemble(J_n*fn.inner(u_n, u_n)*dx_f)*0.5*rho_f/tau + energy_strain_assembled = fn.assemble(J*fn.inner(sym_grad(u), sym_grad(u))*dx_f)*2*mu + if parameters['jac_at_n'] == False: + energy_var_assembled = fn.assemble(J*fn.inner(u - u_n, u - u_n)*dx_f)*0.5*rho_f/tau + else: + energy_var_assembled = fn.assemble(J_n*fn.inner(u - u_n, u - u_n)*dx_f)*0.5*rho_f/tau + delta_value = energy_assembled - energy_n_assembled + energy_strain_assembled + energy_var_assembled + # Give info to user + print("J integrated over the domain: {:.3f} at time: {:2.3f}".format(J_assembled, t)) + print("J_n integrated over the domain: {:.3f} at time: {:2.3f}".format(J_n_assembled, t)) + print("Well-posedness condition 3J - J_n > 0: {} at time {:2.3f}".format(3*J_assembled - J_n_assembled > 0, t)) + print("d (def. map) integrated over the domain: {:.3f} at time: {:2.3f}".format(def_assembled, t)) + #print("w (vel. map)integrated over the domain: {:.3f} at time: {:2.3f}".format(w_assembled, t)) + print("Strain energy E( eps(|u|^2) ): {:.5f} at time {:2.3f}".format(energy_strain_assembled, t)) + print("Residual of scheme -> 'delta' value: {:.5f} at time {:2.3f}\n".format(delta_value, t)) + # Saving results for postprocessing + if solver_to_use == 'LU': + saved_vels.append((u, t, delta_value , energy_strain_assembled, energy_var_assembled)) + else: + saved_vels.append((u, t, delta_value , energy_strain_assembled, energy_var_assembled, num_iters)) + + # Update velocity profile + aux_n.assign(aux) + u_n, _ = fn.split(aux_n) + # Updates deformation mapping + def_n.t = t + def_t.t = t+tau + + # Number of elements used and total time + print("Number of degrees of freedom: {}".format(M.dim())) + print("Solution Computed in {:.5} seconds".format(time.time()-start)) + return saved_defs, saved_vels, saved_pres + + +def iNSE_CT_Solver(parameters, deformation, stabilization, solver_to_use='LU'): + """ This solver computes the incompressible Navier-Stokes (iNSE) problem in the ALE formalism. + To do so, the FEniCS framework is used and the convective term within iNSE is linealized. + To solve the problem, a Chorin-Temam scheme is employed with finite diferences for time + and FE for space. + The Chorin-Temam Scheme here is taken in the order: PPS_0 --> FVS_0 --> PPS_1 --> FVS_1... + ... + + Input Parameters + ---------------- + parameter: dict + dictionary containing several options for the scheme used. + deformation: dict + dictionary containing deformation mapping properties and options. + stabilization: dict + dictionary specifying stabilization used. + + + Output + ---------------- + None. + The solver print the results to console, and returns None, saving solutions and figures. + """ + # Starting time + start = time.time() + # Default parameters + mu, rho_f = parameters['mu'], parameters['rho_f'] + Nx, Ny = parameters['Nx'], parameters['Ny'] + tau, T = parameters['tau'], parameters['T'] + + def def_mesh_tuple(def_params: dict) -> tuple: + """ + Computes a list (len 2) containing the parametrized mesh velocity. + ... + + Input Parameters + ---------------- + def_params: dict + dictionary with keys 'expression' and 'output_name'. + + """ + if 'expression' in def_params.keys(): + if 'output_name' in def_params.keys(): + output_name = def_params['output_name'] + else: + output_name = ('X', 'Y') + return def_params['expression'], output_name + else: + raise Exception("Key 'expression' was not found in the dictionary!") + + def exps_at_bdry(bdry_params: dict, def_params: dict) -> tuple: + """ + Computes the boundary FEniCS expressions for this particular Dirichlet Homogeneous case. + """ + u_inlet = fn.Constant((0.0, 0.0)) + u_outlet = fn.Constant((0.0, 0.0)) + u_bottom = fn.Constant((0.0, 0.0)) + u_top = fn.Constant((0.0, 0.0)) + return u_inlet, u_outlet, u_bottom, u_top + + def corrected_vel(u, ut, p) -> fn.Function: + """ + Computes the corrected velocity field within CT update scheme. + """ + grad_p = fn.project(grad(p), U) + u.vector()[:] = ut.vector()[:] - (tau/rho_f)*grad_p.vector()[:] + return u + + # Define boundary domain classes + class inlet(fn.SubDomain): + def inside(self, x, on_boundary): + return fn.near(x[0], 0) and on_boundary + class outlet(fn.SubDomain): + def inside(self, x, on_boundary): + return fn.near(x[0], 6) and on_boundary + class top(fn.SubDomain): + def inside(self, x, on_boundary): + return fn.near(x[1], 1) and on_boundary + class bottom(fn.SubDomain): + def inside(self, x, on_boundary): + return fn.near(x[1], -1) and on_boundary + + # Define mesh object + mesh_f = fn.RectangleMesh(fn.Point(0, -1), fn.Point(6, 1), Nx, Ny) + #h = fn.CellDiameter(mesh_f) + + # Obtain mesh deformation tuple and output name + def_tuple, def_name = def_mesh_tuple(deformation) + + # Define displacement expressions at previous and actual time steps + def_n = fn.Expression(def_tuple, t=0.0, domain=mesh_f, degree=2) + def_t = fn.Expression(def_tuple, t=tau, domain=mesh_f, degree=2) + + # Functional Spaces + U = fn.VectorFunctionSpace(mesh_f, "CG", parameters['deg_U']) + P = fn.FunctionSpace(mesh_f, "CG", parameters['deg_P']) + + # Boundary expressions in the reference domain + u_inflow, u_outflow, u_bottom, u_top = exps_at_bdry(parameters, deformation) + # Define and mark boundaries + bdry_markers = fn.MeshFunction('size_t', mesh_f, mesh_f.topology().dim()-1) + inlet().mark(bdry_markers, 1) # Inlet marked with label 1 + outlet().mark(bdry_markers, 2) # Outlet marked with label 2 + bottom().mark(bdry_markers, 3) # Bottom marked with label 3 + top().mark(bdry_markers, 4) # Top marked with label 4 + + # Define measures + dx_f = fn.Measure('dx', domain=mesh_f, subdomain_data=bdry_markers) + #ds_f = fn.Measure('ds', domain=mesh_f, subdomain_data=bdry_markers) + + # Define boundary conditions with pressure condition to obtain uniqueness (case LU solver!) + bdries_u = [ + fn.DirichletBC(U, u_inflow, bdry_markers, 1), + fn.DirichletBC(U, u_outflow, bdry_markers, 2), + fn.DirichletBC(U, u_bottom, bdry_markers, 3), + fn.DirichletBC(U, u_top, bdry_markers, 4) + ] + bdries_p = [ + fn.DirichletBC(P, fn.Constant(0.), "near(x[0], 0) && near(x[1], 0)", 'pointwise') + ] + + # Trial/Test function definition + ut, v = fn.TrialFunction(U), fn.TestFunction(U) + p, q = fn.TrialFunction(P), fn.TestFunction(P) + ut_n, p_n = fn.Function(U, name='T. Velocity'), fn.Function(P, name='Pressure') + #u, u_n = fn.Function(U, name='C. Velocity'), fn.Function(U, name='C. Velocity') + # Define initial condition (non-zero) + if parameters["init_cond"] == True: + print("Using a non-zero initial condition (2D-Gaussian) for the velocity field!") + cpp_aux = '0.001*(1 - pow(x[1], 2))*x[0]*(6 - x[0])' + ut_n.assign(fn.Expression((cpp_aux, '0.'), domain=mesh_f, degree=2)) + else: + pass + + # Define normal for backflow stabilization term + #N = fn.FacetNormal(mesh_f) + # Compute its jacobians + J_n = J_(def_n) + J = J_(def_t) + # Define operators wrt to the reference domain + grad = lambda u: grad_(u, def_t) + grad_n = lambda u: grad_(u, def_n) + sym_grad = lambda u: sym_grad_(u, def_t) + div = lambda u: div_(u, def_t) + div_n = lambda u: div_(u, def_n) + # Define domain velocity as a first order finite difference + w = (def_t - def_n)/tau + + # (FVS) Step. Finding tentative velocity field + # The formulation has GCL+Temam Stabilization term + print("Defining forms associated to Chorin-Temam scheme...") + if parameters['gcl_stab'] == True: + if parameters['jac_at_n'] == False: + F_fvs = fn.Constant(rho_f/tau)*J*fn.inner(ut - ut_n, v)*dx_f\ + + fn.Constant(0.5*rho_f/tau)*(J - J_n)*fn.inner(ut, v)*dx_f\ + + fn.Constant(0.5*rho_f)*div(ut_n - w)*fn.inner(ut, v)*dx_f + else: + F_fvs = fn.Constant(rho_f/tau)*J_n*fn.inner(ut - ut_n, v)*dx_f\ + + fn.Constant(0.5*rho_f/tau)*(J - J_n)*fn.inner(ut, v)*dx_f\ + + fn.Constant(0.5*rho_f)*div(ut_n - w)*fn.inner(ut, v)*dx_f + else: + raise Exception("Solver implemented only for cases with 'gcl_stab': True") + + # Adding remaining term of the weak formulation + # The convective term is linearized! + F_fvs += fn.Constant(rho_f)*J*fn.dot(fn.dot(grad(ut), ut_n - w), v)*dx_f\ + + fn.Constant(2*mu)*J*fn.inner(sym_grad(ut), sym_grad(v))*dx_f\ + - p_n*div_n(v)*dx_f + + # Add stabilization when required + if stabilization['type'] == None: + pass + else: + raise Exception("Other stabilization not required for this CT test scheme!") + + # (PPS) Step. Projecting into the div-free solution space + ut_pps = fn.Function(U) # Define tentative vel. object for pps form + F_pps = fn.Constant(tau/rho_f)*J_n*fn.inner(grad_n(p), grad_n(q))*dx_f\ + + div_n(ut_pps)*q*dx_f + + # Obtain lhs and rhs + a_fvs, L_fvs = fn.lhs(F_fvs), fn.rhs(F_fvs) + a_pps, L_pps = fn.lhs(F_pps), fn.rhs(F_pps) + # Assemble lhs of the formulation + A_fvs = fn.PETScMatrix() + A_pps = fn.PETScMatrix() + fn.assemble(a_fvs, tensor = A_fvs) + fn.assemble(a_pps, tensor = A_pps) + + # Define Krylov solver for the problem + # With 'Krylov' using 'gmres'+'ilu' the solver works smoothly + if solver_to_use == 'LU': + print("Using LU Solver...") + solver_fvs = fn.LUSolver() + solver_pps = fn.LUSolver() + [solver.set_operator(A) for solver, A in zip([solver_fvs, solver_pps], [A_fvs, A_pps])] + elif solver_to_use == 'Krylov': + krylov_method = 'gmres'#'minres', 'gmres', 'bicgstab' + precond = 'amg'#'ilu', 'icc', 'hypre_amg', 'petsc_amg' + print("Using Krylov Solver --> Method: {}, Precond: {}\n".format(krylov_method, precond)) + solver_fvs = fn.PETScKrylovSolver(krylov_method, precond) + solver_pps = fn.PETScKrylovSolver(krylov_method, precond) + for solver, A in zip([solver_fvs, solver_pps], [A_fvs, A_pps]): + solver.set_operator(A) + solver.parameters['report'] = True + #solver.parameters['monitor_convergence'] = True + solver.parameters['maximum_iterations'] = 2000 + solver.parameters['relative_tolerance'] = 1E-4 + solver.parameters['absolute_tolerance'] = 1E-7 + #solver.parameters.str(True) + else: + raise Exception("Solver type not implemented, available choices: 'LU', 'Krylov'") + + # Define nicely the output file to save! + base_name = "iNSE_ALE_CT" + base_name += "_{}_{}".format(def_name[0], def_name[1]) + base_name += "_P{}P{}_GCL_{}".format(parameters['deg_U'], parameters['deg_P'], parameters['gcl_stab']) + + if stabilization['type'] == None: + filename = base_name + "_NoStab.xdmf" + else: + raise Exception("Other stabilizations not implemented!") + # Create XDMF file (It saves multiple fields) + file_output = fn.XDMFFile('tests/rectangle/'+filename) + file_output.parameters['functions_share_mesh'] = True + + # Starts from dt, we take at 0 the initial solution + print("Starting iteration over time...") + saved_defs = [] + saved_vels = [] + saved_pres = [] + # Depending on time step tau, save and export some solutions + if tau == 0.1 and T <= 1: nb = 2 + else: nb = 1 + + ##-----Saving deformation field at time t = 0-----## + aux_ = fn.Function(U, name="Deformation") + aux_.assign(fn.project(def_n, U)) + file_output.write(aux_, 0.0) + # Saving velocity (t., div-free) and pressure fields + # by solving an initial PPS + fn.assemble(a_pps, tensor=A_pps) + [bc.apply(A_pps) for bc in bdries_p] + # Assemble rhs (changes over time) + b_pps = fn.assemble(L_pps) + [bc.apply(b_pps) for bc in bdries_p] + # Solve linear system + p = fn.Function(P, name='Pressure') + num_iters_pps = solver_pps.solve(p.vector(), b_pps) + file_output.write(p, 0.0) + # Compute and save updated (t.) velocity + corrected_vel(ut_n, ut_n, p) + file_output.write(ut_n, 0.0) + #corrected_vel(u_n, ut_n, p_n) + #file_output.write(u_n, 0.0) + energy_assembled = fn.assemble(J_n*fn.inner(ut_n, ut_n)*dx_f)*0.5*rho_f/tau + print("E (Energy) of initial t. velocity: {:.5f} at time {:2.3f}\n".format(energy_assembled, 0.0)) + ## -------------------------------------------- ## + ## ----------------Main iteration---------------## + for count, t in enumerate(np.arange(tau, T+tau, tau)): + # (PPS) Pressure-Projection Step + # Update t. velocity + ut_pps.assign(ut_n) + # Assemble lhs + fn.assemble(a_pps, tensor=A_pps) + [bc.apply(A_pps) for bc in bdries_p] + # Assemble rhs (changes over time) + b_pps = fn.assemble(L_pps) + [bc.apply(b_pps) for bc in bdries_p] + # Solve linear system + p = fn.Function(P, name='Pressure') + num_iters_pps = solver_pps.solve(p.vector(), b_pps) + # Save pressure + file_output.write(p, t) + + # (FVS) Fluid-Viscous Step + # Update pressure + p_n.assign(p) + # re-Assemble lhs vector + fn.assemble(a_fvs, tensor=A_fvs) + [bc.apply(A_fvs) for bc in bdries_u] + # Assemble rhs vector (changes over time) + b_fvs = fn.assemble(L_fvs) + [bc.apply(b_fvs) for bc in bdries_u] + # Solve linear system and save solution + ut = fn.Function(U, name='T. Velocity') + num_iters_fvs = solver_fvs.solve(ut.vector(), b_fvs) + + # (CVS) Computation Corrected Velocity (Optional) + #corrected_vel(u, ut, p) + + # Save deformation (proj. into U) + aux_ = fn.Function(U, name="Deformation") + aux_.assign(fn.project(def_t, U)) + file_output.write(aux_, t) + # Save t. velocity + file_output.write(ut, t) + #file_output.write(u, t) + + # Print and save solutions to the user! + if count % nb == 0: + J_assembled = fn.assemble(J*dx_f) + J_n_assembled = fn.assemble(J_n*dx_f) + def_assembled = fn.assemble(fn.dot(def_t, def_t)*dx_f) + #w_assembled = fn.assemble(fn.dot(w, w)*dx_f) + energy_assembled = fn.assemble(J*fn.inner(ut, ut)*dx_f)*0.5*rho_f/tau + energy_n_assembled = fn.assemble(J_n*fn.inner(ut_n, ut_n)*dx_f)*0.5*rho_f/tau + energy_strain_assembled = fn.assemble(J*fn.inner(sym_grad(ut), sym_grad(ut))*dx_f)*2*mu + pres_assembled = fn.assemble(J_n*fn.inner(grad_n(p), grad_n(p))*dx_f)*0.5*tau/rho_f + delta_value = energy_assembled - energy_n_assembled + energy_strain_assembled + pres_assembled + if parameters['jac_at_n'] == False: + energy_var_assembled = fn.assemble(J*fn.inner(ut - ut_n, ut - ut_n)*dx_f)*0.5*rho_f/tau + else: + energy_var_assembled = fn.assemble(J_n*fn.inner(ut - ut_n, ut - ut_n)*dx_f)*0.5*rho_f/tau + # Providing info to user + print("J integrated over the domain: {:.3f} at time: {:2.3f}".format(J_assembled, t)) + print("J_n integrated over the domain: {:.3f} at time: {:2.3f}".format(J_n_assembled, t)) + print("Well-posedness condition 3J - J_n > 0: {} at time {:2.3f}".format(3*J_assembled - J_n_assembled > 0, t)) + print("d (def. map) integrated over the domain: {:.3f} at time: {:2.3f}".format(def_assembled, t)) + #print("w (vel. map)integrated over the domain: {:.3f} at time: {:2.3f}".format(w_assembled, t)) + print("Strain energy E( eps(|u|^2) ): {:.5f} at time {:2.3f}".format(energy_strain_assembled, t)) + print("Residual of scheme -> 'delta' value: {:.5f} at time {:2.3f}\n".format(delta_value, t)) + # Saving results + if solver_to_use == 'LU': + saved_vels.append((ut, t, delta_value, energy_strain_assembled, energy_var_assembled)) + else: + saved_vels.append((ut, t, delta_value, energy_strain_assembled, energy_var_assembled, num_iters_fvs, num_iters_pps)) + + # Update t. velocity + ut_n.assign(ut) + #u_n.assign(u) + # Updates deformation mapping + def_n.t = t + def_t.t = t+tau + + # Number of elements used and total time + print("DoF for Velocity Space (U): {}".format(U.dim())) + print("DoF for Pressure Space (P): {}".format(P.dim())) + print("Solution Computed in {:.5} seconds".format(time.time()-start)) + return saved_defs, saved_vels, saved_pres + +def testing_comparative_plots(dict_fields_mt: dict, dict_fields_ct: dict, *args) -> None: + """ + Computes error figures between the schemes with Jacobian evaluation at times {n, n+1}, i.e. + with explicit and implicit treatment of the time-derivative term. + ... + + Input Parameters + ---------------- + dict_fields_mt : tuple -> (dict, dict, dict) + tuple containing dictionaries of fields (def, vel, pre) from the iNSE ALE Monolithic solver. + + dict_fields_ct : tupel -> (dict, dict, dict) + tuple containing dictionaries of fields (def, vel, pre) from the iNSE ALE CT solver. + """ + print("\nComputing error figures for both schemes...\n") + # Creates dictionaries for "expanding" and "contracting" functions + # Time dictionary + time_list = { + 'MT': {jac_name: [] for jac_name in dict_fields_mt.keys()}, + 'CT': {jac_name: [] for jac_name in dict_fields_ct.keys()} + } + # Numerical dissipation dictionary --> int (| J^{n+1} u^{n+1} - J^{n} u^{n} |) + dis_value_exp = { + 'MT': {jac_name: [] for jac_name in dict_fields_mt.keys()}, + 'CT': {jac_name: [] for jac_name in dict_fields_ct.keys()} + } + dis_value_con = { + 'MT': {jac_name: [] for jac_name in dict_fields_mt.keys()}, + 'CT': {jac_name: [] for jac_name in dict_fields_ct.keys()} + } + # Physical dissipation dictionary --> int ( 2*mu* | eps(u) |^2 ) + eps_value_exp = { + 'MT': {jac_name: [] for jac_name in dict_fields_mt.keys()}, + 'CT': {jac_name: [] for jac_name in dict_fields_ct.keys()} + } + eps_value_con = { + 'MT': {jac_name: [] for jac_name in dict_fields_mt.keys()}, + 'CT': {jac_name: [] for jac_name in dict_fields_ct.keys()} + } + # 'delta' values dictionary + delta_value_exp = { + 'MT': {jac_name: [] for jac_name in dict_fields_mt.keys()}, + 'CT': {jac_name: [] for jac_name in dict_fields_ct.keys()} + } + delta_value_con = { + 'MT': {jac_name: [] for jac_name in dict_fields_mt.keys()}, + 'CT': {jac_name: [] for jac_name in dict_fields_ct.keys()} + } + # Normalized 'delta' values dictionary (w.r.t physical dissipation) + delta_hat_value_exp = { + 'MT': {jac_name: [] for jac_name in dict_fields_mt.keys()}, + 'CT': {jac_name: [] for jac_name in dict_fields_ct.keys()} + } + delta_hat_value_con = { + 'MT': {jac_name: [] for jac_name in dict_fields_mt.keys()}, + 'CT': {jac_name: [] for jac_name in dict_fields_ct.keys()} + } + # Normalized 'delta' values dictionary (w.r.t numerical dissipation) + delta_hat_dis_exp = { + 'MT': {jac_name: [] for jac_name in dict_fields_mt.keys()}, + 'CT': {jac_name: [] for jac_name in dict_fields_ct.keys()} + } + delta_hat_dis_con = { + 'MT': {jac_name: [] for jac_name in dict_fields_mt.keys()}, + 'CT': {jac_name: [] for jac_name in dict_fields_ct.keys()} + } + # Iterate over the different cases in MT (Monolithic) and CT (Chorin-Temam) schemes + for scheme in ['MT', 'CT']: # 'MT', 'CT' + if scheme == 'MT': + dict_fields = dict_fields_mt + else: + dict_fields = dict_fields_ct + # Iterate over different cases 'j_implicit', 'j_explicit' + for jac_name in dict_fields.keys(): + dict_vel = dict_fields[jac_name][1] + for i in range(len(dict_vel['High_Osc_exp'])): + # Saving time steps + time_list[scheme][jac_name].append(dict_vel['High_Osc_exp'][i][1]) + # Add 'delta' values + delta_value_exp[scheme][jac_name].append(dict_vel['High_Osc_exp'][i][2]) + delta_value_con[scheme][jac_name].append(dict_vel['High_Osc_con'][i][2]) + # Add physical dissipation + eps_value_exp[scheme][jac_name].append(dict_vel['High_Osc_exp'][i][3]) + eps_value_con[scheme][jac_name].append(dict_vel['High_Osc_con'][i][3]) + # Add numerical dissipation + dis_value_exp[scheme][jac_name].append(dict_vel['High_Osc_exp'][i][4]) + dis_value_con[scheme][jac_name].append(dict_vel['High_Osc_con'][i][4]) + # Compute normalized 'delta' values w.r.t the physical dissipation + delta_hat_value_exp[scheme][jac_name].append(dict_vel['High_Osc_exp'][i][2]/dict_vel['High_Osc_exp'][i][3]) + delta_hat_value_con[scheme][jac_name].append(dict_vel['High_Osc_con'][i][2]/dict_vel['High_Osc_con'][i][3]) + # Compute normalized 'delta' values w.r.t the numerical dissipation + delta_hat_dis_exp[scheme][jac_name].append(dict_vel['High_Osc_exp'][i][2]/dict_vel['High_Osc_exp'][i][4]) + delta_hat_dis_con[scheme][jac_name].append(dict_vel['High_Osc_con'][i][2]/dict_vel['High_Osc_con'][i][4]) + + # Auxiliary indexes for plotting + # TODO: Test this line and automatize the "100"! + init = 0 + out = 101 #len(time_list['CT']['j_implicit']) # at tau = 0.01, T = 2 --> 200 time steps + + # ---------------------- # + # DELTA VALUE CASE + # ---------------------- # + # CASE CT + plt.subplots(figsize=(10, 4)) + # Top + lf_ax = plt.subplot(1, 2, 2) + lf_j_exp, = lf_ax.plot(time_list['CT']['j_explicit'][init:out], delta_value_exp['CT']['j_explicit'][init:out], color='blue', ls='--') + lf_j_imp, = lf_ax.plot(time_list['CT']['j_implicit'][init:out], delta_value_exp['CT']['j_implicit'][init:out], color='blue') + lf_ax.set_xlabel(r"Simulation time [t]") + lf_ax.set_ylabel(r"$\delta_{CT}$ def. I", color='blue') + lf_ax.set_title(r"Residual Energy $\delta_{CT}$") + lf_ax.tick_params(axis='y', labelcolor='blue') + lf_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0)) + rh_ax = lf_ax.twinx() + rh_j_exp, = rh_ax.plot(time_list['CT']['j_explicit'][init:out], delta_value_con['CT']['j_explicit'][init:out], color='red', ls='--') + rh_j_imp, = rh_ax.plot(time_list['CT']['j_implicit'][init:out], delta_value_con['CT']['j_implicit'][init:out], color='red') + rh_ax.set_ylabel(r"$\delta_{CT}$ def. II", color='red') + rh_ax.tick_params(axis='y', labelcolor='red') + rh_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0)) + plt.legend((lf_j_exp, lf_j_imp, rh_j_exp, rh_j_imp), \ + (r'CT $\star\star = n$', r'CT $\star\star = n+1$', r'CT $\star\star = n$', r'CT $\star\star = n+1$'), loc='center right') + plt.grid(True) + # CASE M + # Bottom + lf_ax = plt.subplot(1, 2, 1) + lf_j_exp, = lf_ax.plot(time_list['MT']['j_explicit'][init:out], delta_value_exp['MT']['j_explicit'][init:out], color='blue', ls='--') + lf_j_imp, = lf_ax.plot(time_list['MT']['j_implicit'][init:out], delta_value_exp['MT']['j_implicit'][init:out], color='blue') + lf_ax.set_xlabel(r"Simulation time [t]") + lf_ax.set_ylabel(r"$\delta_{M}$ def. I", color='blue') + lf_ax.set_title(r"Residual Energy $\delta_{M}$") + lf_ax.tick_params(axis='y', labelcolor='blue') + lf_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0)) + rh_ax = lf_ax.twinx() + rh_j_exp, = rh_ax.plot(time_list['MT']['j_explicit'][init:out], delta_value_con['MT']['j_explicit'][init:out], color='red', ls='--') + rh_j_imp, = rh_ax.plot(time_list['MT']['j_implicit'][init:out], delta_value_con['MT']['j_implicit'][init:out], color='red') + rh_ax.set_ylabel(r"$\delta_{M}$ def. II", color='red') + rh_ax.tick_params(axis='y', labelcolor='red') + rh_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0)) + plt.legend((lf_j_exp, lf_j_imp, rh_j_exp, rh_j_imp), \ + (r'M $\star\star = n$', r'M $\star\star = n+1$', r'M $\star\star = n$', r'M $\star\star = n+1$'), loc='center right') + plt.grid(True) + plt.subplots_adjust(hspace=0.8) + plt.tight_layout() + plt.savefig('Comparison_Delta_Value_GCL_{}_Solver_{}.png'.format(args[0], args[1]), dpi=300) + plt.close() + + # ---------------------- # + # NORMALIZED DELTA CASE (w.r.t physical dissipation) + # ---------------------- # + plt.subplots(figsize=(10, 4)) + # CASE CT + # Top + lf_ax = plt.subplot(1, 2, 2) + lf_j_exp, = lf_ax.plot(time_list['CT']['j_explicit'][init:out], delta_hat_value_exp['CT']['j_explicit'][init:out], color='blue', ls='--') + lf_j_imp, = lf_ax.plot(time_list['CT']['j_implicit'][init:out], delta_hat_value_exp['CT']['j_implicit'][init:out], color='blue') + lf_ax.set_xlabel(r"Simulation time [t]") + lf_ax.set_ylabel(r"$\hat{\delta}_{CT}$ def. I", color='blue') + lf_ax.set_title(r"Normalized value $\hat{\delta}_{CT}$") + lf_ax.tick_params(axis='y', labelcolor='blue') + lf_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0)) + rh_ax = lf_ax.twinx() + rh_j_exp, = rh_ax.plot(time_list['CT']['j_explicit'][init:out], delta_hat_value_con['CT']['j_explicit'][init:out], color='red', ls='--') + rh_j_imp, = rh_ax.plot(time_list['CT']['j_implicit'][init:out], delta_hat_value_con['CT']['j_implicit'][init:out], color='red') + rh_ax.set_ylabel(r"$\hat{\delta}_{CT}$ def. II", color='red') + rh_ax.tick_params(axis='y', labelcolor='red') + rh_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0)) + plt.legend((lf_j_exp, lf_j_imp, rh_j_exp, rh_j_imp), \ + (r'CT $\star\star = n$', r'CT $\star\star = n+1$', r'CT $\star\star = n$', r'CT $\star\star = n+1$'), loc='lower right') + plt.grid(True) + # CASE M + # Bottom + lf_ax = plt.subplot(1, 2, 1) + lf_j_exp, = lf_ax.plot(time_list['MT']['j_explicit'][init:out], delta_hat_value_exp['MT']['j_explicit'][init:out], color='blue', ls='--') + lf_j_imp, = lf_ax.plot(time_list['MT']['j_implicit'][init:out], delta_hat_value_exp['MT']['j_implicit'][init:out], color='blue') + lf_ax.set_xlabel(r"Simulation time [t]") + lf_ax.set_ylabel(r"$\hat{\delta}_{M}$ def. I", color='blue') + lf_ax.set_title(r"Normalized value $\hat{\delta}_{M}$") + lf_ax.tick_params(axis='y', labelcolor='blue') + lf_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0)) + rh_ax = lf_ax.twinx() + rh_j_exp, = rh_ax.plot(time_list['MT']['j_explicit'][init:out], delta_hat_value_con['MT']['j_explicit'][init:out], color='red', ls='--') + rh_j_imp, = rh_ax.plot(time_list['MT']['j_implicit'][init:out], delta_hat_value_con['MT']['j_implicit'][init:out], color='red') + rh_ax.set_ylabel(r"$\hat{\delta}_{M}$ def. II", color='red') + rh_ax.tick_params(axis='y', labelcolor='red') + rh_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0)) + plt.legend((lf_j_exp, lf_j_imp, rh_j_exp, rh_j_imp), \ + (r'M $\star\star = n$', r'M $\star\star = n+1$', r'M $\star\star = n$', r'M $\star\star = n+1$'), loc='upper right') + plt.grid(True) + plt.subplots_adjust(hspace=0.8) + plt.tight_layout() + plt.savefig('Comparison_Delta_Hat_Value_GCL_{}_solver_{}.png'.format(args[0], args[1]), dpi=300) + plt.close() + + # ---------------------- # + # NORMALIZED DELTA CASE (w.r.t numerical dissipation) + # ---------------------- # + plt.subplots(figsize=(10, 4)) + # CASE CT + # Top + lf_ax = plt.subplot(1, 2, 2) + lf_j_exp, = lf_ax.plot(time_list['CT']['j_explicit'][init:out], delta_hat_dis_exp['CT']['j_explicit'][init:out], color='blue', ls='--') + lf_j_imp, = lf_ax.plot(time_list['CT']['j_implicit'][init:out], delta_hat_dis_exp['CT']['j_implicit'][init:out], color='blue') + lf_ax.set_xlabel(r"Simulation time [t]") + lf_ax.set_ylabel(r"$\hat{\delta}_{CT}$ dis. def. I", color='blue') + lf_ax.set_title(r"Normalized value $\hat{\delta}_{CT}$ (dis)") + lf_ax.tick_params(axis='y', labelcolor='blue') + lf_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0)) + rh_ax = lf_ax.twinx() + rh_j_exp, = rh_ax.plot(time_list['CT']['j_explicit'][init:out], delta_hat_dis_con['CT']['j_explicit'][init:out], color='red', ls='--') + rh_j_imp, = rh_ax.plot(time_list['CT']['j_implicit'][init:out], delta_hat_dis_con['CT']['j_implicit'][init:out], color='red') + rh_ax.set_ylabel(r"$\hat{\delta}_{CT}$ def. II", color='red') + rh_ax.tick_params(axis='y', labelcolor='red') + rh_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0)) + plt.legend((lf_j_exp, lf_j_imp, rh_j_exp, rh_j_imp), \ + (r'CT $\star\star = n$', r'CT $\star\star = n+1$', r'CT $\star\star = n$', r'CT $\star\star = n+1$'), loc='lower right') + plt.grid(True) + # CASE M + # Bottom + lf_ax = plt.subplot(1, 2, 1) + lf_j_exp, = lf_ax.plot(time_list['MT']['j_explicit'][init:out], delta_hat_dis_exp['MT']['j_explicit'][init:out], color='blue', ls='--') + lf_j_imp, = lf_ax.plot(time_list['MT']['j_implicit'][init:out], delta_hat_dis_exp['MT']['j_implicit'][init:out], color='blue') + lf_ax.set_xlabel(r"Simulation time [t]") + lf_ax.set_ylabel(r"$\hat{\delta}_{M}$ dis. def. I", color='blue') + lf_ax.set_title(r"Normalized value $\hat{\delta}_{M}$ (dis)") + lf_ax.tick_params(axis='y', labelcolor='blue') + lf_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0)) + rh_ax = lf_ax.twinx() + rh_j_exp, = rh_ax.plot(time_list['MT']['j_explicit'][init:out], delta_hat_dis_con['MT']['j_explicit'][init:out], color='red', ls='--') + rh_j_imp, = rh_ax.plot(time_list['MT']['j_implicit'][init:out], delta_hat_dis_con['MT']['j_implicit'][init:out], color='red') + rh_ax.set_ylabel(r"$\hat{\delta}_{M}$ def. II", color='red') + rh_ax.tick_params(axis='y', labelcolor='red') + rh_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0)) + plt.legend((lf_j_exp, lf_j_imp, rh_j_exp, rh_j_imp), \ + (r'M $\star\star = n$', r'M $\star\star = n+1$', r'M $\star\star = n$', r'M $\star\star = n+1$'), loc='lower right') + plt.grid(True) + plt.subplots_adjust(hspace=0.8) + plt.tight_layout() + plt.savefig('Comparison_Delta_Hat_Dis_Value_GCL_{}_solver_{}.png'.format(args[0], args[1]), dpi=300) + plt.close() + + # ---------------------- # + # PHYSICAL DISSIPATION PLOT + # ---------------------- # + plt.subplots(figsize=(10, 4)) + # CASE CT + # Top + lf_ax = plt.subplot(1, 2, 2) + lf_j_exp, = lf_ax.plot(time_list['CT']['j_explicit'][init:out], eps_value_exp['CT']['j_explicit'][init:out], color='blue', ls='--') + lf_j_imp, = lf_ax.plot(time_list['CT']['j_implicit'][init:out], eps_value_exp['CT']['j_implicit'][init:out], color='blue') + lf_ax.set_xlabel(r"Simulation time [t]") + lf_ax.set_ylabel(r"On def. I", color='blue') + lf_ax.set_title(r"Physical Dissipation (CT)") + lf_ax.tick_params(axis='y', labelcolor='blue') + lf_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0)) + rh_ax = lf_ax.twinx() + rh_j_exp, = rh_ax.plot(time_list['CT']['j_explicit'][init:out], eps_value_con['CT']['j_explicit'][init:out], color='red', ls='--') + rh_j_imp, = rh_ax.plot(time_list['CT']['j_implicit'][init:out], eps_value_con['CT']['j_implicit'][init:out], color='red') + rh_ax.set_ylabel(r"On def. II", color='red') + rh_ax.tick_params(axis='y', labelcolor='red') + rh_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0)) + plt.legend((lf_j_exp, lf_j_imp, rh_j_exp, rh_j_imp), \ + (r'CT $\star\star = n$', r'CT $\star\star = n+1$', r'CT $\star\star = n$', r'CT $\star\star = n+1$'), loc='lower right') + plt.grid(True) + # CASE M + # Bottom + lf_ax = plt.subplot(1, 2, 1) + lf_j_exp, = lf_ax.plot(time_list['MT']['j_explicit'][init:out], eps_value_exp['MT']['j_explicit'][init:out], color='blue', ls='--') + lf_j_imp, = lf_ax.plot(time_list['MT']['j_implicit'][init:out], eps_value_exp['MT']['j_implicit'][init:out], color='blue') + lf_ax.set_xlabel(r"Simulation time [t]") + lf_ax.set_ylabel(r"On dis. def. I", color='blue') + lf_ax.set_title(r"Physical Dissipation (M)") + lf_ax.tick_params(axis='y', labelcolor='blue') + lf_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0)) + rh_ax = lf_ax.twinx() + rh_j_exp, = rh_ax.plot(time_list['MT']['j_explicit'][init:out], eps_value_con['MT']['j_explicit'][init:out], color='red', ls='--') + rh_j_imp, = rh_ax.plot(time_list['MT']['j_implicit'][init:out], eps_value_con['MT']['j_implicit'][init:out], color='red') + rh_ax.set_ylabel(r"On def. II", color='red') + rh_ax.tick_params(axis='y', labelcolor='red') + rh_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0)) + plt.legend((lf_j_exp, lf_j_imp, rh_j_exp, rh_j_imp), \ + (r'M $\star\star = n$', r'M $\star\star = n+1$', r'M $\star\star = n$', r'M $\star\star = n+1$'), loc='lower right') + plt.grid(True) + plt.subplots_adjust(hspace=0.8) + plt.tight_layout() + plt.savefig('Comparison_Eps_Value_GCL_{}_solver_{}.png'.format(args[0], args[1]), dpi=300) + plt.close() + + # ---------------------- # + # NUMERICAL DISSIPATION PLOT + # ---------------------- # + plt.subplots(figsize=(10, 4)) + # CASE CT + # Top + lf_ax = plt.subplot(1, 2, 2) + lf_j_exp, = lf_ax.plot(time_list['CT']['j_explicit'][init:out], dis_value_exp['CT']['j_explicit'][init:out], color='blue', ls='--') + lf_j_imp, = lf_ax.plot(time_list['CT']['j_implicit'][init:out], dis_value_exp['CT']['j_implicit'][init:out], color='blue') + lf_ax.set_xlabel(r"Simulation time [t]") + lf_ax.set_ylabel(r"On def. I", color='blue') + lf_ax.set_title(r"Numerical Dissipation (CT)") + lf_ax.tick_params(axis='y', labelcolor='blue') + lf_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0)) + rh_ax = lf_ax.twinx() + rh_j_exp, = rh_ax.plot(time_list['CT']['j_explicit'][init:out], dis_value_con['CT']['j_explicit'][init:out], color='red', ls='--') + rh_j_imp, = rh_ax.plot(time_list['CT']['j_implicit'][init:out], dis_value_con['CT']['j_implicit'][init:out], color='red') + rh_ax.set_ylabel(r"On def. II", color='red') + rh_ax.tick_params(axis='y', labelcolor='red') + rh_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0)) + plt.legend((lf_j_exp, lf_j_imp, rh_j_exp, rh_j_imp), \ + (r'CT $\star\star = n$', r'CT $\star\star = n+1$', r'CT $\star\star = n$', r'CT $\star\star = n+1$'), loc='lower right') + plt.grid(True) + # CASE M + # Bottom + lf_ax = plt.subplot(1, 2, 1) + lf_j_exp, = lf_ax.plot(time_list['MT']['j_explicit'][init:out], dis_value_exp['MT']['j_explicit'][init:out], color='blue', ls='--') + lf_j_imp, = lf_ax.plot(time_list['MT']['j_implicit'][init:out], dis_value_exp['MT']['j_implicit'][init:out], color='blue') + lf_ax.set_xlabel(r"Simulation time [t]") + lf_ax.set_ylabel(r"On def. I", color='blue') + lf_ax.set_title(r"Numerical Dissipation (M)") + lf_ax.tick_params(axis='y', labelcolor='blue') + lf_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0)) + rh_ax = lf_ax.twinx() + rh_j_exp, = rh_ax.plot(time_list['MT']['j_explicit'][init:out], dis_value_con['MT']['j_explicit'][init:out], color='red', ls='--') + rh_j_imp, = rh_ax.plot(time_list['MT']['j_implicit'][init:out], dis_value_con['MT']['j_implicit'][init:out], color='red') + rh_ax.set_ylabel(r"On def. II", color='red') + rh_ax.tick_params(axis='y', labelcolor='red') + rh_ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0)) + plt.legend((lf_j_exp, lf_j_imp, rh_j_exp, rh_j_imp), \ + (r'M $\star\star = n$', r'M $\star\star = n+1$', r'M $\star\star = n$', r'M $\star\star = n+1$'), loc='lower right') + plt.grid(True) + plt.subplots_adjust(hspace=0.8) + plt.tight_layout() + plt.savefig('Comparison_Num_Dis_Value_GCL_{}_solver_{}.png'.format(args[0], args[1]), dpi=300) + plt.close() + print("\nAll computations done and figures saved...\n") + print("\n------------------------------------------\n") + return None \ No newline at end of file