# Set of default parameters for steady Navier-Stokes
mesh:       './meshes/coa3d_bend_Lc2_L6.3_f0.4_d0_ns1_h0.025.h5'
density: 1.0
dynamic_viscosity: 0.035
stokes: False

io:
    write_hdf5: False
    write_hdf5_timeseries: False
    write_xdmf: True
    write_path: './projects/DA_testbench/results/coa3d/coa3d_bend_f0.4_CT_R1_noslip_plug_h0.025/'
    restart:
        path: ''  # './projects/nse_coa3d/results/test_restart2/'
        time: 0
    write_checkpoints: True
    write_velocity: 'update'
    log: True

boundary_conditions: 
    - id: 1
      preset: 'sine_parabola_inlet'
      value: 
          R: 1.0
          U: 43.75
          a: 2.5
      flow_direction: 0     # (0, 1, 2)
      symmetric: False
    - id: 2
      preset: 'outlet'
      value: 0.
    - id: 3
      type: 'dirichlet'
      value: [0, 0, 0]

timemarching:
    velocity_pressure_coupling: 'fractionalstep'    # monolithic, fractionalstep

    monolithic:
        timescheme: 'gmp'   # generalized midpoint, steady FIXME TODO
        theta: 1            # 1: Euler, 2: implicit midpoint rule (one-legged)
        nonlinear:
            method: 'constant_extrapolation'   # constant_extrapolation, linear_extrapolation, newton, picard, snes
            maxit: 20
            init_steps: 30
            use_aitken: 1   #  0: False, 1: Picard only, 2: all
            report: 1       # 0: None, 1: residuals, 2: residuals and energy (inflow/driving/forcing via ESSENTIAL Dbcs!)
            atol: 1.e-6    # note: dot required!!
            rtol: 1.e-16
            stol: 0.0

    fractionalstep:
        scheme: 'CT'      # CT, IPCS
        coupled_velocity: False
        robin_bc_velocity_scheme: 'implicit' # explicit, semi-implicit, implicit
        transpiration_bc_projection: 'robin'      # robin, dirichlet
        flux_report_normalize_boundary: 1

    T: 0.4
    dt: 0.001
    write_dt: 0.001
    checkpoint_dt:  0.02 # <= 0: only last; else value + last
    report: 1   # 0: print nothing, 1: print time step and writeout, 2: 1 + flux

estimation:
    boundary_conditions:
        - id: 3
          type: 'navierslip'
          initial_stddev: 1
        - id: 3
          type: 'transpiration'
          initial_stddev: 1
    measurements:
        # - 
        #     mesh: './meshes/coa3d_bend_slice_XZ_H0.1.h5'
        #     fe_degree: 0
        #     xdmf_file: './projects/DA_testbench/results/coa3d/coa3d_bend_f0.4_CT_R1_noslip_plug_h0.025/measurements/slice_XZ_par_P0_H0.1_DT0.02_noise0/u_meas.xdmf'
        #     file_root: './projects/DA_testbench/results/coa3d/coa3d_bend_f0.4_CT_R1_noslip_plug_h0.025/measurements/slice_XZ_par_P0_H0.1_DT0.02_noise0/u{i}.h5'
        #     indices: [1, 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400]
        #     noise_stddev: 0       # standard deviation of Gaussian noise
        #     # noise level 48 ==> 15% of max(u) = 320
        # - 
        #     mesh: './meshes/coa3d_bend_slice_XZ_H0.2.h5'
        #     fe_degree: 0
        #     xdmf_file: './projects/DA_testbench/results/coa3d/coa3d_bend_f0.4_CT_R1_noslip_plug_h0.025/measurements/slice_XZ_par_P0_H0.2_DT0.02_noise0/u_meas.xdmf'
        #     file_root: './projects/DA_testbench/results/coa3d/coa3d_bend_f0.4_CT_R1_noslip_plug_h0.025/measurements/slice_XZ_par_P0_H0.2_DT0.02_noise0/u{i}.h5'
        #     indices: [1, 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400]
        #     noise_stddev: 0       # standard deviation of Gaussian noise
        #     # noise level 48 ==> 15% of max(u) = 320
        - 
            mesh: './meshes/coa3d_bend_slice_inlet_H0.1.h5'
            fe_degree: 0
            xdmf_file: './projects/DA_testbench/results/coa3d/coa3d_bend_f0.4_CT_R1_noslip_plug_h0.025/measurements/slice_inlet_par_P0_H0.1_DT0.02_noiseVENC/u_meas.xdmf'
            file_root: './projects/DA_testbench/results/coa3d/coa3d_bend_f0.4_CT_R1_noslip_plug_h0.025/measurements/slice_inlet_par_P0_H0.1_DT0.02_noiseVENC/u{i}.h5'
            indices: [1, 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400]
            velocity_direction: [1, 0, 0]
            noise_stddev: 6.5625       # standard deviation of Gaussian noise
            # noise level 48 ==> 15% of max(u) = 320
        - 
            mesh: './meshes/coa3d_bend_slice_inlet_H0.2.h5'
            fe_degree: 0
            xdmf_file: './projects/DA_testbench/results/coa3d/coa3d_bend_f0.4_CT_R1_noslip_plug_h0.025/measurements/slice_inlet_par_P0_H0.2_DT0.02_noiseVENC/u_meas.xdmf'
            file_root: './projects/DA_testbench/results/coa3d/coa3d_bend_f0.4_CT_R1_noslip_plug_h0.025/measurements/slice_inlet_par_P0_H0.2_DT0.02_noiseVENC/u{i}.h5'
            indices: [1, 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400]
            velocity_direction: [1, 0, 0]
            noise_stddev: 6.5625       # standard deviation of Gaussian noise
            # noise level 48 ==> 15% of max(u) = 320
        # - 
        #     mesh: './meshes/coa3d_bend_slice_inclined2_H0.1.h5'
        #     fe_degree: 0
        #     xdmf_file: './projects/DA_testbench/results/coa3d/coa3d_bend_f0.4_CT_R1_noslip_plug_h0.025/measurements/slice_inclined2_par_P0_H0.1_DT0.02_noise0/u_meas.xdmf'
        #     file_root: './projects/DA_testbench/results/coa3d/coa3d_bend_f0.4_CT_R1_noslip_plug_h0.025/measurements/slice_inclined2_par_P0_H0.1_DT0.02_noise0/u{i}.h5'
        #     indices: [1, 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400]
        #     noise_stddev: 0       # standard deviation of Gaussian noise
        #     # noise level 48 ==> 15% of max(u) = 320
        # - 
        #     mesh: './meshes/coa3d_bend_slice_inclined2_H0.2.h5'
        #     fe_degree: 0
        #     xdmf_file: './projects/DA_testbench/results/coa3d/coa3d_bend_f0.4_CT_R1_noslip_plug_h0.025/measurements/slice_inclined2_par_P0_H0.2_DT0.02_noise0/u_meas.xdmf'
        #     file_root: './projects/DA_testbench/results/coa3d/coa3d_bend_f0.4_CT_R1_noslip_plug_h0.025/measurements/slice_inclined2_par_P0_H0.2_DT0.02_noise0/u{i}.h5'
        #     indices: [1, 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400]
        #     noise_stddev: 0       # standard deviation of Gaussian noise
        #     # noise level 48 ==> 15% of max(u) = 320
        - 
            mesh: './meshes/coa3d_bend_slice_inclined3_H0.1.h5'
            fe_degree: 0
            xdmf_file: './projects/DA_testbench/results/coa3d/coa3d_bend_f0.4_CT_R1_noslip_plug_h0.025/measurements/slice_inclined3_par_P0_H0.1_DT0.02_noiseVENC/u_meas.xdmf'
            file_root: './projects/DA_testbench/results/coa3d/coa3d_bend_f0.4_CT_R1_noslip_plug_h0.025/measurements/slice_inclined3_par_P0_H0.1_DT0.02_noiseVENC/u{i}.h5'
            indices: [1, 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400]
            velocity_direction: [0.98426389, 0., -0.17670481]
            noise_stddev: 21       # standard deviation of Gaussian noise
            # noise level 48 ==> 15% of max(u) = 320
        - 
            mesh: './meshes/coa3d_bend_slice_inclined3_H0.2.h5'
            fe_degree: 0
            xdmf_file: './projects/DA_testbench/results/coa3d/coa3d_bend_f0.4_CT_R1_noslip_plug_h0.025/measurements/slice_inclined3_par_P0_H0.2_DT0.02_noiseVENC/u_meas.xdmf'
            file_root: './projects/DA_testbench/results/coa3d/coa3d_bend_f0.4_CT_R1_noslip_plug_h0.025/measurements/slice_inclined3_par_P0_H0.2_DT0.02_noiseVENC/u{i}.h5'
            indices: [1, 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400]
            velocity_direction: [0.98426389, 0., -0.17670481]
            noise_stddev: 21       # standard deviation of Gaussian noise
            # noise level 48 ==> 15% of max(u) = 320
    roukf:
        particles: 'simplex'
        observation_operator: 'postprocessing'
        reparameterize: True

# solver setup
fem:
    velocity_space: p1  # p1 p1b/p1+ p2
    pressure_space: p1  # p1 p0/dg0 dg1

    strain_symmetric: 0
    convection_skew_symmetric: 1    # aka Temam term
    stabilization:
        backflow_boundaries: [2]
        streamline_diffusion:
            enabled: True
            parameter: 'shakib'   # standard, shakib, codina, klr
            length_scale: 'metric' # average, max, metric
            consistent: False   # deprecated
            Cinv: ~
        monolithic:
            infsup: False    # pspg, pressure-stabilization
            graddiv: False
            consistent: False
            pressure_stab_constant: 1.

    fix_pressure: False
    fix_pressure_point: [0., 0.]

linear_solver:
    method: 'default'
    # inputfile: './projects/nse_coa3d/input/pc/MUMPS_default.yaml'
    # inputfile: './input/pc/fgmres_gamg_rtol1e-6.yaml'