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@ -72,7 +72,7 @@ def plot_parameters(dat, input_file, deparameterize=False, ref=None):
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if bnd_c['id'] == bnd_set['id']:
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ids.append(bnd_c['id'])
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current_val.append(bnd_set['value'][0])
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labels.append('R_' + str(bnd_c['id']))
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labels.append('$R_' + str(bnd_c['id']))
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elif 'dirichlet' in bnd_c['type']:
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current_val.append(inputfile['boundary_conditions'][1]['parameters']['U'])
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@ -105,13 +105,17 @@ def plot_parameters(dat, input_file, deparameterize=False, ref=None):
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for i in range(dim):
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axes.plot(t, theta[:, i] + 1.5*i, '-', color=col_,label=legends_)
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true_level = np.log(true_values[ids[i]]/current_val[i])/np.log(2)
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rec_value = np.round(2**theta[-1, i]*current_val[i],1)
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cur_key = ids[i]
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axes.plot(t, theta[:, i] + 1.5*i, '-', color=col_,label=legends_ + '= ' + str(rec_value) + '/' + str(true_values[cur_key]) + '$')
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axes.fill_between(t, theta[:, i] + 1.5*i - np.sqrt(P[:, i, i]),
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theta[:, i] + 1.5*i + np.sqrt(P[:, i, i]), alpha=0.3,
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color=col_)
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true_level = np.log(true_values[ids[i]]/current_val[i])/np.log(2)
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axes.plot(t,1.5*i + t*0 + true_level , color=col_,ls='--')
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col_ = next(col)
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legends_=next(legends)
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@ -4,9 +4,10 @@ mesh: './meshes/coaortaH1.h5'
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fluid:
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density: 1.2
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dynamic_viscosity: 0.035
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stokes: False
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io:
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write_path: 'results/aorta_master'
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write_path: 'results/aorta'
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restart:
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path: '' # './projects/nse_coa3d/results/test_restart2/'
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time: 0
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@ -25,38 +26,40 @@ boundary_conditions:
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type: 'dirichlet'
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value: ['0','0','-U*sin(DOLFIN_PI*t/Th)*(t<=Th) + (Th<t)*(-3.67949466208*U*sin(9*DOLFIN_PI*t/Th)*exp(-t*10))']
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parameters:
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U: 30
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U: 100
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Th: 0.35
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t: 0
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-
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id: 3
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type: 'windkessel'
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value: [10,0,0]
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p0: [0,1333.223874]
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#value: [10,1000,0.01]
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#p0: [47,1333.223874]
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#value: [10,0,0]
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value: [10,0.0008,2400]
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p0: [80,1333.223874]
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#p0: [0,1333.223874]
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-
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id: 4
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type: 'windkessel'
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value: [250,0,0]
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p0: [0,1333.223874]
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#value: [250,8000,0.0001]
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#p0: [47,1333.223874]
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#value: [60,0,0]
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#value: [250,0,0]
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value: [60,0.00034,4200]
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p0: [80,1333.223874]
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#p0: [0,1333.223874]
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-
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id: 5
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type: 'windkessel'
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value: [250,0,0]
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p0: [0,1333.223874]
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#value: [250,8000,0.0001]
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#p0: [47,1333.223874]
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#value: [220,0,0]
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#value: [250,0,0]
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value: [220,0.00034,11000]
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p0: [80,1333.223874]
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#p0: [0,1333.223874]
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-
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id: 6
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type: 'windkessel'
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value: [250,0,0]
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p0: [0,1333.223874]
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#value: [250,8000,0.0001]
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#p0: [47,1333.223874]
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#value: [160,0,0]
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#value: [250,0,0]
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value: [160,0.00034,7800]
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p0: [80,1333.223874]
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#p0: [0,1333.223874]
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timemarching:
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velocity_pressure_coupling: 'fractionalstep' # monolithic, fractionalstep
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@ -96,7 +99,7 @@ fem:
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convection_skew_symmetric: True # aka Temam term
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stabilization:
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forced_normal:
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enabled: True
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enabled: False
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boundaries: [6]
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gamma: 10
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backflow_boundaries: [3,4,5,6]
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@ -120,38 +123,38 @@ linear_solver:
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estimation:
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boundary_conditions:
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-
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id: 3
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type: 'windkessel'
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initial_stddev: 1
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#-
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# id: 3
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# type: 'windkessel'
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# initial_stddev: 1
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-
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id: 4
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type: 'windkessel'
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initial_stddev: 1
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-
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id: 5
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type: 'windkessel'
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initial_stddev: 1
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-
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id: 6
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type: 'windkessel'
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initial_stddev: 1
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-
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id: 2
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type: 'dirichlet'
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parameters: 'U'
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initial_stddev: 1
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#-
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# id: 5
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# type: 'windkessel'
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# initial_stddev: 1
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#-
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# id: 6
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# type: 'windkessel'
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# initial_stddev: 1
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#-
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# id: 2
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# type: 'dirichlet'
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# parameters: 'U'
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# initial_stddev: 1
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measurements:
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-
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mesh: '/home/yeye/NuMRI/kalman/meshes/coaortaH3_leo2.0.h5'
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fe_degree: 1
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xdmf_file: 'measurements/aorta_master_s100/u_all.xdmf'
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file_root: 'measurements/aorta_master_s100/u{i}.h5'
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xdmf_file: 'measurements/aorta/u_all.xdmf'
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file_root: 'measurements/aorta/u{i}.h5'
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indices: 0 # indices of checkpoints to be processed. 0 == all
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velocity_direction: ~
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noise_stddev: 5 # standard deviation of Gaussian noise
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noise_stddev: 500 # standard deviation of Gaussian noise
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roukf:
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particles: 'simplex' # unique or simplex
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@ -1,172 +0,0 @@
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mesh: './meshes/coaortaH1.h5'
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# Physical parameters of the fluid
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fluid:
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density: 1.2
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dynamic_viscosity: 0.035
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io:
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write_path: 'results/aorta'
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restart:
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path: '' # './projects/nse_coa3d/results/test_restart2/'
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time: 0
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write_xdmf: True
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write_checkpoints: True
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write_hdf5_timeseries: False
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write_velocity: 'update' # tentative or update
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boundary_conditions:
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-
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id: 1
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type: 'dirichlet'
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value: ['0','0','0']
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-
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id: 2
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type: 'dirichlet'
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value: ['0','0','-U*sin(DOLFIN_PI*t/Th)*(t<=Th) + (t<=Tc)*(t>Th)*(-3.67949466208*U*sin(9*DOLFIN_PI*t/Th)*exp(-t*10))
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- U*sin(DOLFIN_PI*(t-Tc)/Th)*(t>Tc)*(t<= Tc + Th)
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+ (t<=2*Tc)*(t>Tc+Th)*(-3.67949466208*U*sin(9*DOLFIN_PI*(t-Tc)/Th)*exp(-(t-Tc)*10))
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- U*sin(DOLFIN_PI*(t-2*Tc)/Th)*(t>2*Tc)*(t<= 2*Tc + Th)
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+ (t<=3*Tc)*(t>2*Tc+Th)*(-3.67949466208*U*sin(9*DOLFIN_PI*(t-2*Tc)/Th)*exp(-(t-2*Tc)*10))
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- U*sin(DOLFIN_PI*(t-3*Tc)/Th)*(t>3*Tc)*(t<= 3*Tc + Th)
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+ (t<=4*Tc)*(t>3*Tc+Th)*(-3.67949466208*U*sin(9*DOLFIN_PI*(t-3*Tc)/Th)*exp(-(t-3*Tc)*10))
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- U*sin(DOLFIN_PI*(t-4*Tc)/Th)*(t>4*Tc)*(t<= 4*Tc + Th)
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+ (t<=5*Tc)*(t>4*Tc+Th)*(-3.67949466208*U*sin(9*DOLFIN_PI*(t-4*Tc)/Th)*exp(-(t-4*Tc)*10)) ']
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parameters:
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U: 100 #100
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Th: 0.35
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Tc: 0.8
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t: 0
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-
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id: 3
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type: 'windkessel'
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value: [10,0,0]
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#value: [10,0.0008,2400] # [R_p,C,R_d] SEPARAR
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#p0: [80,1333.223874]
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p0: [0,1333.223874]
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-
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id: 4
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type: 'windkessel'
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value: [60,0,0]
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#value: [60,0.00034,4200]
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#p0: [80,1333.223874]
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p0: [0,1333.223874]
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-
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id: 5
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type: 'windkessel'
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value: [220,0,0]
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#value: [220,0.00034,11000]
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#p0: [80,1333.223874]
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p0: [0,1333.223874]
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-
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id: 6
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type: 'windkessel'
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value: [160,0,0]
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#value: [160,0.00034,7800]
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#p0: [80,1333.223874]
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p0: [0,1333.223874]
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timemarching:
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velocity_pressure_coupling: 'fractionalstep' # monolithic, fractionalstep
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monolithic:
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timescheme: 'gmp' # generalized midpoint, steady FIXME TODO
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theta: 1 # 1: Euler, 0.5: implicit midpoint rule (one-legged)
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nonlinear:
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method: 'constant_extrapolation' # constant_extrapolation, linear_extrapolation, newton, picard, snes
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maxit: 20
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init_steps: 30
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use_aitken: 1 # 0: False, 1: Picard only, 2: all
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report: 1 # 0: None, 1: residuals, 2: residuals and energy (inflow/driving/forcing via ESSENTIAL Dbcs!)
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atol: 1.e-6 # note: dot required!!
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rtol: 1.e-16
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stol: 0.0
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fractionalstep:
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scheme: 'CT' # CT, IPCS
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coupled_velocity: False # False faster, True needed if robin_bc implicit
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robin_bc_velocity_scheme: 'implicit' # explicit, semi-implicit, implicit
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transpiration_bc_projection: 'robin' # robin, dirichlet
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flux_report_normalize_boundary: 1
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T: 0.8 # end time
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dt: 0.002
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write_dt: 0.04
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checkpoint_dt: 0.04 # <= 0: only last; else value + last
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report: 1 # 0: print nothing, 1: print time step and writeout, 2: 1 + flux
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# solver setup
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fem:
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velocity_space: p1 # p1 p1b/p1+ p2
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pressure_space: p1 # p1 p0/dg0 dg1
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strain_symmetric: False
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convection_skew_symmetric: True # aka Temam term
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stabilization:
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forced_normal:
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enabled: False
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boundaries: [6]
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gamma: 10
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backflow_boundaries: [3,4,5,6]
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streamline_diffusion:
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enabled: False
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parameter: 'standard' # standard, shakib, codina, klr
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length_scale: 'metric' # average, max, metric
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parameter_element_constant: True
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Cinv: ~
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monolithic:
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infsup: 'pspg' # pspg, pressure-stabilization
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graddiv: False
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consistent: False
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pressure_stab_constant: 1.
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fix_pressure: False
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fix_pressure_point: [0., 0. , 0.]
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linear_solver:
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method: 'lu'
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estimation:
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boundary_conditions:
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#-
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# id: 3
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# type: 'windkessel'
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# initial_stddev: 1
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-
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id: 4
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type: 'windkessel'
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initial_stddev: 1
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#-
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# id: 5
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# type: 'windkessel'
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# initial_stddev: 1
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#-
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# id: 6
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# type: 'windkessel'
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# initial_stddev: 1
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#-
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# id: 2
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# type: 'dirichlet'
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# parameters: 'U'
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# initial_stddev: 1
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measurements:
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-
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mesh: './meshes/coaortaH3_leo2.0.h5'
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#mesh: './meshes/coaortaH1.h5'
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fe_degree: 1
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#xdmf_file: 'measurements/aorta_C/Perturbation/Ks12V50/u_all.xdmf'
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#file_root: 'measurements/aorta_C/Perturbation/Ks12V50/u{i}.h5'
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xdmf_file: 'measurements/aorta_s100/u_all.xdmf'
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file_root: 'measurements/aorta_s100/u{i}.h5'
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indices: 0 # indices of checkpoints to be processed. 0 == all
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velocity_direction: ~
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noise_stddev: 15 # standard deviation of Gaussian noise
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roukf:
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particles: 'simplex' # unique or simplex
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observation_operator: 'postprocessing' #state or postprocessing
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reparameterize: True
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ODV_functional:
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enable: False
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VENC: 172 # 241,172
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