From ccf35cea1630c6cee6fca673a92abc84a2e7ffdd Mon Sep 17 00:00:00 2001 From: yeye Date: Mon, 23 Nov 2020 13:41:11 +0100 Subject: [PATCH] adding kalman --- kalman/aorta.yaml | 133 +++++ kalman/channel2d.yaml | 153 ++++++ kalman/channel3d.yaml | 155 ++++++ kalman/compute_solution_errors.py | 185 +++++++ kalman/gen_measurements_from_checkpoints.py | 505 ++++++++++++++++++ kalman/meshes/channel2d.h5 | Bin 0 -> 76000 bytes kalman/meshes/channel3d.h5 | Bin 0 -> 3293576 bytes kalman/meshes/channel3d_leo.h5 | Bin 0 -> 1146928 bytes kalman/meshes/coaortaH1.h5 | Bin 0 -> 7505256 bytes kalman/other/batch_gen_measurements.py | 137 +++++ ...ices_par_P0_H0.1-0.2_DT0.02_noiseVENC.yaml | 173 ++++++ .../gen_measurements_from_checkpoints.py | 376 +++++++++++++ kalman/other/input_meas.yaml | 22 + kalman/other/run_roukf.py | 31 ++ kalman/other/theta_plot.py | 42 ++ kalman/plot_roukf_parameters.py | 121 +++++ kalman/run.py | 75 +++ kalman/run_forward.py | 42 ++ presentation/pres03.tex | 33 +- 19 files changed, 2177 insertions(+), 6 deletions(-) create mode 100755 kalman/aorta.yaml create mode 100755 kalman/channel2d.yaml create mode 100755 kalman/channel3d.yaml create mode 100644 kalman/compute_solution_errors.py create mode 100644 kalman/gen_measurements_from_checkpoints.py create mode 100644 kalman/meshes/channel2d.h5 create mode 100644 kalman/meshes/channel3d.h5 create mode 100755 kalman/meshes/channel3d_leo.h5 create mode 100755 kalman/meshes/coaortaH1.h5 create mode 100755 kalman/other/batch_gen_measurements.py create mode 100755 kalman/other/coa3d_bend_f0.4_CT_R1_noslip_plug_h0.025_slices_par_P0_H0.1-0.2_DT0.02_noiseVENC.yaml create mode 100755 kalman/other/gen_measurements_from_checkpoints.py create mode 100755 kalman/other/input_meas.yaml create mode 100755 kalman/other/run_roukf.py create mode 100755 kalman/other/theta_plot.py create mode 100644 kalman/plot_roukf_parameters.py create mode 100644 kalman/run.py create mode 100644 kalman/run_forward.py diff --git a/kalman/aorta.yaml b/kalman/aorta.yaml new file mode 100755 index 0000000..3eea7b7 --- /dev/null +++ b/kalman/aorta.yaml @@ -0,0 +1,133 @@ + +mesh: '/home/yeye/Desktop/kalman/meshes/coaortaH1.h5' +# Physical parameters of the fluid +fluid: + density: 1.2 + dynamic_viscosity: 0.035 + +io: + write_path: 'results/aorta/' + restart: + path: '' # './projects/nse_coa3d/results/test_restart2/' + time: 0 + write_xdmf: True + write_checkpoints: True + write_hdf5_timeseries: False + write_velocity: 'update' # tentative + +boundary_conditions: + - + id: 1 + type: 'dirichlet' + value: ['0','0','0'] + - + id: 2 + type: 'dirichlet' + value: ['0','0','-U*sin(DOLFIN_PI*t/Th)*(t<=Th) + (Th 0: + scalar[i] = True + + V = [] + V_aux = [] + for scal, file in zip(scalar, meshes): + mesh, _, _ = inout.read_mesh(file) + if scal: + V.append(FunctionSpace(mesh, element_family, degree)) + # 1. interpolate velocity vector onto measurement grid (V_aux) + # 2. perform component projection in the measurement space + # ---> need to store both scalar and vector spaces + V_aux.append(VectorFunctionSpace(mesh, element_family, degree)) + else: + V.append(VectorFunctionSpace(mesh, element_family, degree)) + + return V, V_aux + + +def find_checkpoints(options): + ''' Find all checkpoints of a simulation from configuration in options + dictionary. + + Args: + options (dict): Options dictionary (from YAML input file) + + Returns: + list: List of found checkpoint indices + list: List of found checkpoint times + list: List of found checkpoint files + ''' + if MPI.rank(MPI.comm_world) > 0: + return + + chkpt_root = options['io']['write_path'] + '/checkpoint/{i}/u.h5' + + indices = options['estimation']['measurements'][0]['indices'] + if not indices: + path_all = list(Path().glob(chkpt_root.format(i='*'))) + indices = sorted(int(str(s).split('/')[-2]) for s in path_all) + + # dt_meas = options['timemarching']['checkpoint_dt'] + # times = np.concatenate(([options['timemarching']['dt']], + # dt_meas*np.array(indices[1:]))) + dt = options['timemarching']['dt'] + times = dt*np.array(indices) + + print('indices: \n') + print('\t', indices) + print('times: \n') + print('\t', times) + + files = [chkpt_root.format(i=i) for i in indices] + + # check if all files are found + for f in files: + if not Path(f).is_file(): + raise FileNotFoundError(f) + + return indices, times, files + + +def generate(options, seed_lst, print_norms=False): + ''' Generate measurements. + + Args: + options (dict): Options dictionary (from input file) + seed_lst (list): list of random seeds + print_norms (bool): switch for printing norms of measurements + ''' + + V = solution_function_space(options) + ndim = V.mesh().topology().dim() + u = Function(V) + + V_meas_lst, V_aux_lst = measurement_function_spaces(options) + u_meas_lst = [Function(V_meas, name='measurement') for V_meas in + V_meas_lst] + u_meas_cpy = [Function(V_meas, name='measurement') for V_meas in + V_meas_lst] + LI = LagrangeInterpolator + if V_aux_lst: + u_aux_lst = [Function(V_aux) for V_aux in V_aux_lst] + comp_assigner = [FunctionAssigner([V]*ndim, V_aux) for V, V_aux in + zip(V_meas_lst, V_aux_lst)] + + measurement_lst = options['estimation']['measurements'] + noise_sd = [meas['noise_stddev'] for meas in measurement_lst] + + # if 'project' in options['estimation']['measurements']: + # project_switch = bool(options['estimation']['measurements'] + # ['project']) + # else: + # project_switch = False + project_switch = False + + indices, times, files = find_checkpoints(options) + + outfile_root_lst = [meas['file_root'] for meas in measurement_lst] + xdmf_paths = [meas['xdmf_file'] for meas in measurement_lst] + + # don't automatically append seed{s} do path anymore! + # suppose seed{s} is included + # if seed_lst[0] > 0: + # for i, (out, xdmf) in enumerate(zip(outfile_root_lst, xdmf_paths)): + # # if isinstance(out, str) and 'seed{s}' not in out: + # # out_ = out.split('/') + # # outfile_root_lst[i] = '/'.join(out_[:-1] + ['seed{s}', + # # out_[-1]]) + # if isinstance(xdmf, str) and 'seed{s}' not in xdmf: + # xdmf_ = xdmf.split('/') + # xdmf_paths[i] = '/'.join(xdmf_[:-1] + ['seed{s}', xdmf_[-1]]) + + # check if a list of seeds is given that {s} is included in path + if len(seed_lst) > 1: + for out in outfile_root_lst: + assert '{s}' in out, ('For a list of seeds, the string \'{s}\' ' + 'must be included in the file_root and will ' + 'be replaced by the seed number') + + if any(xdmf_paths): + xdmf_lst = [] + for pth in xdmf_paths: + if not isinstance(pth, str): + raise TypeError('xdmf_file setting must be None or a string ' + 'indicating the target XDMF file. Got type {}'. + format(type(pth))) + + seed_dict = {} + for seed in seed_lst: + file = XDMFFile(pth.format(s=seed)) + file.parameters['rewrite_function_mesh'] = False + seed_dict[seed] = file + xdmf_lst.append(seed_dict) + else: + xdmf_lst = [None]*len(u_meas_lst) + + for count, (index, time, infile) in enumerate(zip(indices, times, files)): + if MPI.rank(MPI.comm_world) == 0: + print('Processing {} at t = {}'.format(infile, time)) + + t_ = inout.read_HDF5_data(u.function_space().mesh().mpi_comm(), infile, + u, '/u') + + assert np.allclose(time, t_), ('Timestamps do not match! {} vs {} ' + '(HDF5 file)'.format(time, t_)) + + # interpolate u to measurement meshes + for k, (u_meas, outfile_root, xdmf, sd) in enumerate(zip( + u_meas_lst, outfile_root_lst, xdmf_lst, noise_sd)): + + if project_switch: + u_meas.assign(project(u, u_meas.function_space())) + + else: + if V_aux_lst: + if MPI.rank(MPI.comm_world) == 0: + print('- Scalar velocity component') + direction = (options['estimation']['measurements'][k] + ['velocity_direction']) + if direction.count(0) == 2 and direction.count(1) == 1: + LI.interpolate(u_meas, u.sub(direction.index(1))) + + else: + assert u_meas.value_shape() == [] + # normalize projection direction + direction = np.array(direction, dtype=np.float64) + direction /= np.sqrt(np.dot(direction, direction)) + if MPI.rank(MPI.comm_world) == 0: + print('- direction: {}'.format(direction)) + + LagrangeInterpolator.interpolate(u_aux_lst[k], u) + + # This is faster than simply Xobs_aux.split(True) ! + u_i = [u_meas] + [u_meas.copy(True) for j in + range(ndim - 1)] + + comp_assigner[k].assign(u_i, u_aux_lst[k]) + u_meas.vector()[:] *= direction[0] + for ui, d in zip(u_i[1:], direction[1:]): + if d: + u_meas.vector().axpy(d, ui.vector()) + + else: + if MPI.rank(MPI.comm_world) == 0: + print('- Full velocity vector') + LI.interpolate(u_meas, u) + if sd: + u_meas_cpy[k].assign(u_meas) + + # add noise + for seed in seed_lst: + if sd: + if seed > 0: + np.random.seed(seed + count) + + if MPI.rank(MPI.comm_world) == 0: + print('- Add noise with stddev = {}, seed = {}' + .format(sd, seed + count)) + + noise = np.random.normal(0., sd, + u_meas.vector().local_size()) + u_meas.assign(u_meas_cpy[k]) + u_meas.vector()[:] += noise + + if MPI.rank(MPI.comm_world) == 0: + if print_norms: + print('Writing file at t = {}\t |u_m| = {}'.format( + time, norm(u_meas))) + else: + print('Writing file at t = {}\t'.format(time)) + + outfile = outfile_root.format(i=index, s=seed) + inout.write_HDF5_data( + u_meas.function_space().mesh().mpi_comm(), outfile, u_meas, + '/u', time) + + if xdmf: + xdmf[seed].write(u_meas, time) + + # THIS IS OBSOLETE NOW + # write indices and timesteps + # write_timestamps(options, indices, times, seed_lst) + + +def write_timestamps(options, indices, times, seed_lst): + ''' Write time stamps of measurements to csv file. + + Args: + options (dict): Options dictionary (from YAML input file) + indices (list): List of checkpoint indices + times (list): List of checpoint times + seed_lst (list): List of random seeds + ''' + if MPI.rank(MPI.comm_world) > 0: + return + + warning('timestamps.csv is OBSOLETE!') + + file_root_lst = [meas['file_root'] for meas in options['estimation'] + ['measurements']] + + # if seed_lst[0]: + # for i, out in enumerate(file_root_lst): + # if isinstance(out, str) and 'seed{s}' not in out: + # out_ = out.split('/') + # file_root_lst[i] = '/'.join(out_[:-1] + # + ['seed{s}', out_[-1]]) + + for file_root in file_root_lst: + for seed in seed_lst: + path = Path(file_root.format(s=seed, i=-1)).parent + if seed > 0 and 'seed{s}'.format(s=seed) not in str(path): + path = path.joinpath('seed{s}'.format(s=seed)) + path = path.joinpath('timestamps.csv') + print('Writing timestamps to file: {}'.format(path)) + with path.open('w') as file: + writer = csv.writer(file, delimiter=' ') + for i, t in zip(indices, times): + writer.writerow((i, t)) + + +def copy_inputfile(options, inputfile, seed_lst): + ''' Copy input file of reference solution to measurements directory. + + Args: + options (dict): Options dictionary (from YAML input file) + inputfile (str): Path of input file to be copied + seed_lst (list): List of random seeds + ''' + if MPI.rank(MPI.comm_world) > 0: + return + + file_root_lst = [meas['file_root'] for meas in options['estimation'] + ['measurements']] + for file_root in file_root_lst: + for seed in seed_lst: + path = Path(file_root.format(s=seed, i=-1)).parent + # if seed > 0 and 'seed{s}'.format(s=seed) not in str(path): + # path = path.joinpath('seed{s}'.format(s=seed)) + path = path.joinpath('input.yaml') + # path.parent.mkdir(parents=True, exist_ok=True) + shutil.copy2(str(inputfile), str(path)) + print('Copied input file to {}'.format(path)) + + +def dump_example_options(path): + ''' Dump example options to given path and exit. + + Args: + path (str): Path to input file + ''' + example = '''\ +# example fractional step inputfile for gen_measurements_from_checkpoints.py +mesh: './meshes/mesh.h5' + +io: + # Path containing checkpoints in a checkpoints/ folder + write_path: './results/test/' + +timemarching: + # final time of simulation to be processed + T: 0.4 + # simulation time step size (not dt_checkpoint) + dt: 0.001 + +fem: + # Velocity and presse (for monolithic) function spaces of checkpoints + velocity_space: 'p1' + pressure_space: 'p1' + +estimation: + measurements: + # List of measurements + - + # Mesh of 1. measurement set + mesh: './measurements/mesh_meas.h5' + + # degree of finite element function space + # (1 for linear, 0 for discontinuous piece-wise constant) + fe_degree: 0 + + # velocity measurement files to be written by this tool + # {i} will be replaced by the corresponding index of the checkpoint + # if given, {s} may be replaced by the seed number, for instance + # path/seed{s}/u{i}.h5 + file_root: './measurements/u{i}.h5' + + # XDMF file where measurements are optionally stored for + # visualization (one file for all time steps) + xdmf_file: './measurements/meas.xdmf' + + # Select a velocity component: + # * None (~) means "use complete vector" + # * else, use a scalar velocity by projecting onto the given + # direction vector, [x, y, (z)] + velocity_direction: ~ + + # (absolute) standard deviation of Gaussian noise + noise_stddev: 10. + + # indices of checkpoints to be processed: + # * 0 == all + # * a list of integes + indices: 0 + + - + # second measurement ... + - + # further measurements ... +''' + + with open(path, 'w') as f: + f.write(example) + print('Example options:\n\n') + print(example) + print('\ndumped example options to file: {}'.format(path)) + sys.exit(0) + + +def get_parser(): + parser = argparse.ArgumentParser(description='''\ +Generate measurements from HDF5 checkpoints, generated by the Fractional-Step +or the monolithic Navier-Stokes solvers. + +Reads options from the given input file. + +See the example options for further explanations:: +(`gen_measurements_from_checkpoints.py -d example.yaml`). +''', formatter_class=argparse.RawDescriptionHelpFormatter) + parser.add_argument('inputfile', type=str, help='path to yaml input file') + # parser.add_argument('-s', '--seed', type=int, default=-1, + # help='seed for random generator') + parser.add_argument('-s', '--seed', nargs='+', help='seed or list of seeds' + ' for noise random number generator. ' + 'Will take the given seed for the first time step ' + 'and increment by +1 for all subsequent time steps, ' + 'so that noise is different for all times ' + 'but reproducible', default=[-1], type=int) + parser.add_argument('-n', '--print_norms', action='store_true', + help='print norms') + parser.add_argument('-d', '--dump', action='store_true', + help='dump minimal example parameters to inputfile') + + return parser + + +if __name__ == '__main__': + args = get_parser().parse_args() + + if args.dump: + dump_example_options(args.inputfile) + + seed = args.seed + + if seed[0] <= 0: + assert len(seed) == 1, 'if multiple seeds are given, all should be > 0' + + try: + options = inout.read_parameters(args.inputfile) + except IOError: + raise IOError('File could not be read: {}'.format(args.inputfile)) + + generate(options, seed, args.print_norms) + + copy_inputfile(options, args.inputfile, seed) diff --git a/kalman/meshes/channel2d.h5 b/kalman/meshes/channel2d.h5 new file mode 100644 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'./projects/DA_testbench/input/channel2d/measurements/' +inputfiles_chan2d = [ + # 'chan2d_CT_Rtop0.9_slip0.332_no-pen_h0.05_noise0.yaml', + # 'chan2d_CT_Rtop0.9_slip0.332_no-pen_h0.05_noise6.5.yaml', + # # # 'chan2d_CT_Rtop0.9_slip0.332_no-pen_dt0.001_h0.05_noise0.yaml', + # # # 'chan2d_CT_Rtop0.9_slip0.332_no-pen_dt0.001_h0.05_noise6.5.yaml', + # 'chan2d_CT_Rtop0.9_slip0.332_trans3600_h0.05_noise0.yaml', + 'chan2d_CT_Rtop0.9_slip0.332_trans3600_h0.05_noise6.5.yaml', + # 'chan2d_CT_R1_no-slip_h0.05_noise0.yaml', + # 'chan2d_CT_R1_no-slip_h0.05_noise6.5.yaml', + # # 'chan2d_CT_R1_no-slip_steady_h0.05_noise0.yaml', + # # 'chan2d_CT_R1_no-slip_steady_h0.05_noise6.5.yaml', + # 'chan2d_mono_Rtop0.9_slip0.332_no-pen_h0.05_noise0.yaml', + # 'chan2d_mono_Rtop0.9_slip0.332_no-pen_h0.05_noise6.5.yaml', + # # 'chan2d_mono_Rtop0.9_slip0.332_no-pen_dt0.001_h0.05_noise0.yaml', + # # 'chan2d_mono_Rtop0.9_slip0.332_no-pen_dt0.001_h0.05_noise6.5.yaml', + # 'chan2d_mono_Rtop0.9_slip0.332_trans3600_h0.05_noise0.yaml', + # 'chan2d_mono_Rtop0.9_slip0.332_trans3600_h0.05_noise6.5.yaml', + # 'chan2d_mono_R1_no-slip_h0.05_noise0.yaml', + # 'chan2d_mono_R1_no-slip_h0.05_noise6.5.yaml', + # # 'chan2d_mono_R1_no-slip_steady_h0.05_noise0.yaml', + # # 'chan2d_mono_R1_no-slip_steady_h0.05_noise6.5.yaml', + # # + # # 'chan2d_CT_Rtop0.9_slip0.332_no-pen_h0.05_state_noise0.yaml', +] + +path_coa2d = './projects/DA_testbench/input/coa2d/measurements/' +inputfiles_coa2d = [ + # CT H=h, DT=dt + # 'coa2d_CT_d0.1_slip0.001_trans1000_h0.025_supg_noise0.yaml', + # 'coa2d_CT_d0.1_slip0.332_trans3600_h0.025_supg_noise0.yaml', + # 'coa2d_CT_d0.1_slip0.001_trans1000_h0.025_supg_noise10.yaml', + # 'coa2d_CT_d0.1_slip0.332_trans3600_h0.025_supg_noise10.yaml', + # 'coa2d_CT_d0_noslip_h0.025_supg_noise10.yaml', + # 'coa2d_CT_d0_noslip_h0.025_supg_noise0.yaml', + # MONO + # 'coa2d/coa2d_mono_d0.1_slip0.001_trans1000_h0.025_supg.yaml', + # 'coa2d/coa2d_mono_d0.1_slip0.332_trans3600_h0.025_supg.yaml', + # 'coa2d/coa2d_mono_d0_noslip_h0.025_supg.yaml', + # H, DT var + # 'coa2d_CT_d0_noslip_h0.025_supg_d0.1_H0.1.yaml', + # 'coa2d_CT_d0_noslip_h0.025_supg_DT0.01_H0.025.yaml', + # 'coa2d_CT_d0_noslip_h0.025_supg_DT0.02_H0.025.yaml', + # 'coa2d_CT_d0_noslip_h0.025_supg_DT0.02_H0.1.yaml', + # PLUG FLOW + # 'coa2d_CT_d0_noslip_h0.025_supg_plug_d0_H0.1.yaml', + 'coa2d_CT_d0_noslip_h0.025_supg_plug_d0.1_H0.1.yaml', + # 'coa2d_CT_d0_noslip_h0.025_supg_plug_d0.2_H0.2.yaml', +] + +path_pipe3d = './projects/DA_testbench/input/pipe3d/measurements/' +inputfiles_pipe3d = [ + 'pipe3d_CT_R0.9_slip0.332_trans3600_h0.05_noise0.yaml', + 'pipe3d_CT_R0.9_slip0.332_trans3600_h0.05_noise10.yaml', + 'pipe3d_CT_R0.9_slip0.332_trans3600_h0.1_noise0.yaml', + 'pipe3d_CT_R0.9_slip0.332_trans3600_h0.1_noise10.yaml', + 'pipe3d_CT_R1_noslip_h0.1_noise10.yaml', + 'pipe3d_CT_R1_noslip_h0.05_noise10.yaml', +] + +path_coa3d = './projects/DA_testbench/input/coa3d/measurements/' +inputfiles_coa3d = [ + # 'coa3d_CT_R0.9_slip0.001_trans1000_h0.025_noise0.yaml', + # 'coa3d_CT_R0.9_slip0.001_trans1000_h0.025_noise10.yaml', + # 'coa3d_CT_R1_noslip_h0.025_noise0.yaml', + # 'coa3d_CT_R1_noslip_h0.025_noise10.yaml', + # 'coa3d_CT_R1_noslip_h0.025_H0.1_DT0.001_noise10.yaml', + # 'coa3d_CT_R1_noslip_h0.025_H0.1_DT0.01_noise10.yaml', + # 'coa3d_CT_R1_noslip_h0.025_H0.1_DT0.02_noise10.yaml', + # 'coa3d_CT_R1_noslip_h0.025_H0.025_DT0.01_noise10.yaml', + # 'coa3d_CT_R1_noslip_h0.025_H0.025_DT0.02_noise10.yaml', + # 'coa3d_CT_R1_noslip_h0.025_H0.025_DT0.02_noise10.yaml', + # 'coa3d_asym_CT_R1_noslip_h0.025_H0.1_DT0.02_noise10.yaml', + # 'coa3d_asym_CT_R1_noslip_h0.025_H0.2_DT0.02_noise10.yaml', + # 'coa3d_bend_CT_R1_noslip_h0.025_H0.1_DT0.02_noise10.yaml', + # 'coa3d_bend_CT_R1_noslip_h0.025_H0.2_DT0.02_noise10.yaml', + # PLUG FLOW + # 'coa3d_bend_CT_R1_noslip_plug_h0.025_d0_H0.1_DT0.02_noise10.yaml', + # 'coa3d_bend_CT_R1_noslip_plug_h0.025_H0.1_DT0.02_noise10.yaml', + # 'coa3d_bend_CT_R1_noslip_plug_h0.025_H0.2_DT0.02_noise10.yaml', + # slices + # 'coa3d_CT_R1_noslip_plug_h0.025_H0.1_DT0.02_noise10.yaml', + # 'coa3d_CT_R1_noslip_plug_h0.025_H0.2_DT0.02_noise10.yaml', + # 'coa3d_CT_R1_noslip_plug_h0.025_slices_isZY_H0.1_DT0.02_noise10.yaml', + # 'coa3d_CT_R1_noslip_plug_h0.025_slices_Z_P0_H0.1_DT0.02_noise10.yaml', + # 'coa3d_CT_R1_noslip_plug_h0.025_slices_Z_P0_H0.2_DT0.02_noise10.yaml', + # 'coa3d_CT_R1_noslip_plug_h0.025_slices_isZY_P0_H0.1_DT0.02_noise10.yaml', + # 'coa3d_CT_R1_noslip_plug_h0.025_slices_isZY_H0.2_DT0.02_noise10.yaml' + # 'coa3d_bend_f0.3_CT_R1_noslip_plug_h0.025_slices_P0_H0.1-0.2_DT0.02_noise48.yaml', + # 'coa3d_bend_f0.3_CT_R1_noslip_plug_h0.025_slices_P0_H0.1-0.2_DT0.02_noise0.yaml', + # 'coa3d_bend_CT_R1_noslip_plug_h0.025_slices_P0_H0.1-0.2_DT0.02_noise48.yaml', + # 'coa3d_bend_CT_R1_noslip_plug_h0.025_slices_P0_H0.1-0.2_DT0.02_noise0.yaml', + # 'coa3d_bend_f0.0_CT_R1_noslip_plug_h0.025_slices_P0_H0.1-0.2_DT0.02_noise0.yaml', # <------ compute these! + # 'coa3d_bend_f0.0_CT_R1_noslip_plug_h0.025_slices_P0_H0.1-0.2_DT0.02_noise48.yaml', + # 'coa3d_bend_f0.5_CT_R1_noslip_plug_h0.025_slices_P0_H0.1-0.2_DT0.02_noise0.yaml', + # 'coa3d_bend_f0.5_CT_R1_noslip_plug_h0.025_slices_P0_H0.1-0.2_DT0.02_noise48.yaml', + # 'coa3d_bend_f0.5_CT_R1_noslip_plug_h0.025_slices_P0_H0.1-0.2_DT0.02_noise10.yaml', + + # 'coa3d_bend_f0.4_CT_R1_noslip_plug_h0.025_slices_P0_H0.1-0.2_DT0.02_noise0.yaml', + # 'coa3d_bend_f0.4_CT_R1_noslip_plug_h0.025_slices_P0_H0.1-0.2_DT0.02_noiseVENC.yaml', + # 'coa3d_bend_f0.5_CT_R1_noslip_plug_h0.025_slices_P0_H0.1-0.2_DT0.02_noiseVENC.yaml', + # 'coa3d_bend_f0.6_CT_R1_noslip_plug_h0.025_slices_P0_H0.1-0.2_DT0.02_noiseVENC.yaml', + + 'coa3d_bend_f0.4_CT_R1_noslip_plug_h0.025_slices_par_P0_H0.1-0.2_DT0.02_noiseVENC.yaml', + 'coa3d_bend_f0.5_CT_R1_noslip_plug_h0.025_slices_par_P0_H0.1-0.2_DT0.02_noiseVENC.yaml', + 'coa3d_bend_f0.6_CT_R1_noslip_plug_h0.025_slices_par_P0_H0.1-0.2_DT0.02_noiseVENC.yaml', + + +] + +seed = range(11, 51) +# seed = 2 + +path = path_coa3d +inputfiles = inputfiles_coa3d + +# +if isinstance(seed, range): + seed = list(seed) +elif isinstance(seed, int): + seed = [seed] + +assert isinstance(seed, list), ('type(seed) must be list, but is {}'. + format(type(seed))) + +for inpfile in inputfiles: + try: + options = inout.read_parameters(path + inpfile) + except IOError: + raise IOError('File could not be read: {}'.format(path + inpfile)) + + generate(options, seed, False) + + copy_inputfile(options, path + inpfile, seed) diff --git a/kalman/other/coa3d_bend_f0.4_CT_R1_noslip_plug_h0.025_slices_par_P0_H0.1-0.2_DT0.02_noiseVENC.yaml b/kalman/other/coa3d_bend_f0.4_CT_R1_noslip_plug_h0.025_slices_par_P0_H0.1-0.2_DT0.02_noiseVENC.yaml new file mode 100755 index 0000000..53bc6c8 --- /dev/null +++ b/kalman/other/coa3d_bend_f0.4_CT_R1_noslip_plug_h0.025_slices_par_P0_H0.1-0.2_DT0.02_noiseVENC.yaml @@ -0,0 +1,173 @@ +# 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' diff --git a/kalman/other/gen_measurements_from_checkpoints.py b/kalman/other/gen_measurements_from_checkpoints.py new file mode 100755 index 0000000..59651c0 --- /dev/null +++ b/kalman/other/gen_measurements_from_checkpoints.py @@ -0,0 +1,376 @@ +from dolfin import * +import dolfin +import argparse +from common import inout +import numpy as np +import sys +# import ruamel.yaml as yaml +from pathlib import Path +import csv +import shutil + +# parameters['allow_extrapolation'] = True +# careful with this option... can give nonsensical results outside + +from mpi4py import MPI +comm = MPI.COMM_WORLD +size = comm.Get_size() +rank = comm.Get_rank() + + +def solution_function_space(options): + mesh, _, _ = inout.read_mesh(options['mesh']) + if options['fem']['velocity_space'].lower() == 'p2': + Evel = VectorElement('P', mesh.ufl_cell(), 2) + elif options['fem']['velocity_space'].lower() == 'p1': + Evel = VectorElement('P', mesh.ufl_cell(), 1) + else: + raise Exception('Velocity space {} not yet implemented!'.format( + options['fem']['velocity_space'].lower())) + + V = FunctionSpace(mesh, Evel) + + return V + + +def measurement_function_spaces(options): + + measurement_lst = options['estimation']['measurements'] + if not isinstance(measurement_lst, list): + measurement_lst = [measurement_lst] + + meshes = [meas['mesh'] for meas in measurement_lst] + + if 'fe_degree' in options['estimation']['measurements'][0]: + degree = options['estimation']['measurements'][0]['fe_degree'] + else: + degree = 1 + + for measurement in measurement_lst[1:]: + if not degree == measurement['fe_degree']: + raise Exception('fe_degree must the the same for all ' + 'measurements!') + + if degree == 1: + element_family = 'P' + elif degree == 0: + element_family = 'DG' + else: + raise Exception('Unsupported measurement FE degree: {}' + .format(degree)) + + scalar = [False]*len(measurement_lst) + for i, measurement in enumerate(measurement_lst): + if 'velocity_direction' in measurement: + direction = measurement['velocity_direction'] + if direction and None not in direction and sum(direction) > 0: + scalar[i] = True + + V = [] + V_aux = [] + for scal, file in zip(scalar, meshes): + mesh, _, _ = inout.read_mesh(file) + if scal: + V.append(FunctionSpace(mesh, element_family, degree)) + # 1. interpolate velocity vector onto measurement grid (V_aux) + # 2. perform component projection in the measurement space + # ---> need to store both scalar and vector spaces + V_aux.append(VectorFunctionSpace(mesh, element_family, degree)) + else: + V.append(VectorFunctionSpace(mesh, element_family, degree)) + + return V, V_aux + + +def find_checkpoints(options): + + chkpt_root = options['io']['write_path'] + '/checkpoint/{i}/u.h5' + + + indices = options['estimation']['measurements'][0]['indices'] + + if not indices: + # its seems not work now + #path_all = list(Path().glob(chkpt_root.format(i='*'))) + #indices = sorted(int(str(s).split('/')[-2]) for s in path_all) + from glob import glob + chkpt_root2 = options['io']['write_path'] + '/checkpoint/*' + paths = glob(chkpt_root2) + pathsclean = paths + pathff = [] + for l in range(len(paths)): + pathsclean[l] = paths[l].replace(options['io']['write_path'] + '/checkpoint/','') + pathff.append(int(pathsclean[l])) + + indices = [int(x) for x in pathff] + indices.sort() + + + + + + # dt_meas = options['timemarching']['checkpoint_dt'] + # times = np.concatenate(([options['timemarching']['dt']], + # dt_meas*np.array(indices[1:]))) + dt = options['timemarching']['dt'] + times = dt*np.array(indices) + + if rank == 0: + print('indices: \n') + print('\t', indices) + print('times: \n') + print('\t', times) + + files = [chkpt_root.format(i=i) for i in indices] + + # check if all files are found + # try: + # for f in files: + # # Path(f).resolve(strict=True) + # Path(f).is_file() + # except FileNotFoundError: + # raise + + for f in files: + if not Path(f).is_file(): + raise FileNotFoundError(f) + + return indices, times, files + + +def generate(options, seed_lst, print_norms=False): + + V = solution_function_space(options) + ndim = V.mesh().topology().dim() + u = Function(V) + + V_meas_lst, V_aux_lst = measurement_function_spaces(options) + u_meas_lst = [Function(V_meas) for V_meas in V_meas_lst] + u_meas_cpy = [Function(V_meas) for V_meas in V_meas_lst] + #LI = LagrangeInterpolator() + if V_aux_lst: + u_aux_lst = [Function(V_aux) for V_aux in V_aux_lst] + comp_assigner = [FunctionAssigner([V]*ndim, V_aux) for V, V_aux in + zip(V_meas_lst, V_aux_lst)] + + measurement_lst = options['estimation']['measurements'] + noise_sd = [meas['noise_stddev'] for meas in measurement_lst] + + # if 'project' in options['estimation']['measurements']: + # project_switch = bool(options['estimation']['measurements'] + # ['project']) + # else: + # project_switch = False + project_switch = False + + indices, times, files = find_checkpoints(options) + + outfile_root_lst = [meas['file_root'] for meas in measurement_lst] + xdmf_paths = [meas['xdmf_file'] for meas in measurement_lst] + + if seed_lst[0] > 0: + for i, (out, xdmf) in enumerate(zip(outfile_root_lst, xdmf_paths)): + if isinstance(out, str) and 'seed{s}' not in out: + out_ = out.split('/') + outfile_root_lst[i] = '/'.join(out_[:-1] + ['seed{s}', + out_[-1]]) + if isinstance(xdmf, str) and 'seed{s}' not in xdmf: + xdmf_ = xdmf.split('/') + xdmf_paths[i] = '/'.join(xdmf_[:-1] + ['seed{s}', xdmf_[-1]]) + + if any(xdmf_paths): + xdmf_lst = [] + for pth in xdmf_paths: + seed_dict = {} + for seed in seed_lst: + file = XDMFFile(pth.format(s=seed)) + file.parameters['rewrite_function_mesh'] = False + seed_dict[seed] = file + xdmf_lst.append(seed_dict) + else: + xdmf_lst = [None]*len(u_meas_lst) + + for i, t, infile in zip(indices, times, files): + print('Processing {} at t = {}'.format(infile, t)) + + t_ = inout.read_HDF5_data(u.function_space().mesh().mpi_comm(), infile, + u, '/u') + + assert np.allclose(t, t_), ('Timestamps do not match! {} vs {} (HDF5 ' + 'file)'.format(t, t_)) + + # interpolate u to measurement meshes + for k, (u_meas, outfile_root, xdmf, sd) in enumerate(zip( + u_meas_lst, outfile_root_lst, xdmf_lst, noise_sd)): + + if project_switch: + u_meas.assign(project(u, u_meas.function_space())) + + else: + if V_aux_lst: + print('scalar') + direction = (options['estimation']['measurements'][k] + ['velocity_direction']) + if direction.count(0) == 2 and direction.count(1) == 1: + LagrangeInterpolator.interpolate(u_meas, u.sub(direction.index(1))) + + else: + assert u_meas.value_size() == 1 + # normalize projection direction + direction = np.array(direction, dtype=np.float64) + direction /= np.sqrt(np.dot(direction, direction)) + print('d = {}'.format(direction)) + + LagrangeInterpolator().interpolate(u_aux_lst[k], u) + + # This is faster than simply Xobs_aux.split(True) ! + u_i = [u_meas] + [u_meas.copy(True) for j in + range(ndim - 1)] + + comp_assigner[k].assign(u_i, u_aux_lst[k]) + u_meas.vector()[:] *= direction[0] + for ui, d in zip(u_i[1:], direction[1:]): + if d: + u_meas.vector().axpy(d, ui.vector()) + + else: + LagrangeInterpolator.interpolate(u_meas, u) + if sd: + u_meas_cpy[k].assign(u_meas) + + # add noise + for seed in seed_lst: + if sd: + # this makes no sense, sorry... + # if seed > 0: + # np.random.seed(seed + i) + noise = np.random.normal(0., sd, + u_meas.vector().local_size()) + u_meas.assign(u_meas_cpy[k]) + u_meas.vector()[:] += noise + + if rank == 0: + if print_norms: + print('Writing file at t = {}\t |u_m| = {}'.format( + t, norm(u_meas))) + else: + print('Writing file at t = {}\t'.format(t)) + + outfile = outfile_root.format(i=i, s=seed) + inout.write_HDF5_data( + u_meas.function_space().mesh().mpi_comm(), outfile, u_meas, + '/u', t) + + if xdmf: + xdmf[seed].write(u_meas, t) + + # write indices and timesteps + write_timestamps(options, indices, times, seed_lst) + + +def write_timestamps(options, indices, times, seed_lst): + file_root_lst = [meas['file_root'] for meas in options['estimation'] + ['measurements']] + + # if seed_lst[0]: + # for i, out in enumerate(file_root_lst): + # if isinstance(out, str) and 'seed{s}' not in out: + # out_ = out.split('/') + # file_root_lst[i] = '/'.join(out_[:-1] + ['seed{s}', out_[-1]]) + + for file_root in file_root_lst: + for seed in seed_lst: + path = Path(file_root.format(s=seed, i=-1)).parent + if seed > 0 and 'seed{s}'.format(s=seed) not in str(path): + path = path.joinpath('seed{s}'.format(s=seed)) + path = path.joinpath('timestamps.csv') + if rank == 0: + print('Writing timestamps to file: {}'.format(path)) + with path.open('w') as file: + writer = csv.writer(file, delimiter=' ') + for i, t in zip(indices, times): + writer.writerow((i, t)) + + +def copy_inputfile(options, inputfile, seed_lst): + if rank == 0: + file_root_lst = [meas['file_root'] for meas in options['estimation'] + ['measurements']] + for file_root in file_root_lst: + for seed in seed_lst: + path = Path(file_root.format(s=seed, i=-1)).parent + if seed > 0 and 'seed{s}'.format(s=seed) not in str(path): + path = path.joinpath('seed{s}'.format(s=seed)) + path = path.joinpath('input.yaml') + shutil.copy2(str(inputfile), str(path)) + print('Copied input file to {}'.format(path)) + + +if __name__ == '__main__': + parser = argparse.ArgumentParser(description='''\ +Generate measurements from HDF5 checkpoints, generated by the Fractional-Step +or the monolithic Navier-Stokes solvers. + +Reads options from the given input file. +''', formatter_class=argparse.RawDescriptionHelpFormatter) + parser.add_argument('inputfile', type=str, help='path to yaml input file') + # parser.add_argument('-s', '--seed', type=int, default=-1, + # help='seed for random generator') + parser.add_argument('-s', '--seed', nargs='+', help='seed or list of seeds' + ' for repitions of RNG. not really a seed, noise is ' + ' different for all timesteps', default=[-1]) + parser.add_argument('-n', '--print_norms', action='store_true', + help='print norms') + parser.add_argument('-d', '--dump', action='store_true', + help='dump minimal default parameters to inputfile') + args = parser.parse_args() + + if args.dump: + default = '''\ +# default inputfile for gen_measurements_from_checkpoints.py +mesh: ./meshes/mesh.h5 + +io: + write_path: ./results/test/ # path to checkpoints + +timemarching: + T: 0.4 + dt: 0.001 + +fem: + velocity_space: p1 # p1, p2 + pressure_space: p1 + +estimation: + measurements: + - mesh: ./measurements/mesh_meas.h5 # measurement mesh + fe_degree: 0 # 0 or 1 + file_root: ./measurements/u{{i}}.h5 # velocity measurements \ +to be written by the program, {{i}} will be replaced by the corresponding \ +index of the checkpoint + xdmf_file: ./measurements/meas.xdmf # path for optional XDMF output + noise_stddev: 10. # absolute standard deviation of Gaussian \ + noise + indices: 0 # indices of checkpoints to be processed. 0 == all + - # second measurement ... + - ... +''' + + with open(args.inputfile, 'w') as f: + f.write(default) + print('dumped default options to file: {}'.format(args.inputfile)) + sys.exit(0) + + seed = args.seed + + if seed[0] <= 0: + assert len(seed) == 1, 'if multiple seeds are given, all should be > 0' + + try: + options = inout.read_parameters(args.inputfile) + except IOError: + raise IOError('File could not be read: {}'.format(args.inputfile)) + + generate(options, seed, args.print_norms) + + copy_inputfile(options, args.inputfile, seed) diff --git a/kalman/other/input_meas.yaml b/kalman/other/input_meas.yaml new file mode 100755 index 0000000..7831bf8 --- /dev/null +++ b/kalman/other/input_meas.yaml @@ -0,0 +1,22 @@ +mesh: /home/yeye/Desktop/PhD/AORTA/MESH/aorta_fine2/aorta_fine2_marked.h5 + +io: + write_path: '/home/yeye/Desktop/PhD/AORTA/DATA/ct/aorta_fine/dt0.001' # path to checkpoints + +timemarching: + T: 0.9 + dt: 0.001 + +fem: + velocity_space: p1 # p1, p2 + pressure_space: p1 + +estimation: + measurements: + - mesh: '/home/yeye/Desktop/PhD/AORTA/MESH/aorta_fine2/aorta_fine2_marked.h5' # measurement mesh + fe_degree: 1 # 0 or 1 + file_root: '/home/yeye/Desktop/PhD/AORTA/DATA/ct/aorta_fine/dt0.001/measurements/u{i}.h5' # velocity measurements to be written by the program, {{i}} will be replaced by the corresponding index of the checkpoint + xdmf_file: /home/yeye/Desktop/PhD/AORTA/DATA/ct/aorta_fine/dt0.001/measurements/meas.xdmf # path for optional XDMF output + noise_stddev: 0 # absolute standard deviation of Gaussian noise + indices: 0 # indices of checkpoints to be processed. 0 == all + #velocity_direction: [0, 0, 1] diff --git a/kalman/other/run_roukf.py b/kalman/other/run_roukf.py new file mode 100755 index 0000000..06971ad --- /dev/null +++ b/kalman/other/run_roukf.py @@ -0,0 +1,31 @@ +from roukf.roukf import * +from navierstokes.fractionalstep import * +from navierstokes import solver +from common import utils +from dolfin import * +import sys,os +import logging +logging.getLogger().setLevel(logging.INFO) + +parameters["form_compiler"]["optimize"] = True +parameters["form_compiler"]["cpp_optimize"] = True +parameters["form_compiler"]["cpp_optimize_flags"] = "-O3 -xHost -ip" if \ + utils.on_cluster() else "-O3 -ffast-math -march=native" + +#inpfile = '/home/yeye/Desktop/PhD/AORTA/CT_David/input/aorta_roukf.yaml' + +if len(sys.argv) > 1: + if os.path.exists(sys.argv[1]): + inpfile = sys.argv[1] + print('Found input file ' + inpfile) + else: + raise Exception('Command line arg given but input file does not exist:' + ' {}'.format(sys.argv[1])) +else: + print('Using default input file ' + inpfile) + +#sol = solver(inpfile) +sol = solver.init(inpfile) + +roukf = ROUKF(inpfile, sol) +roukf.solve() diff --git a/kalman/other/theta_plot.py b/kalman/other/theta_plot.py new file mode 100755 index 0000000..d0fba44 --- /dev/null +++ b/kalman/other/theta_plot.py @@ -0,0 +1,42 @@ +import matplotlib.pyplot as plt +import numpy as np +import os + +from matplotlib import rc +#rc('font',**{'family':'sans-serif','sans-serif':['Helvetica']}) +rc('text', usetex=True) + + +if 'Zion' in os.popen('hostname').read(): + user = 'yeye' + np.set_printoptions(threshold=5) +if 'fwn-bborg-5-166' in os.popen('hostname').read(): + user = 'p283370' + + +Tf = 0.9 +masterpath = '/home/'+user+'/Desktop/kalman/results/' +###################################################################### + +theta1 = np.loadtxt( masterpath + 'theta.txt') +t = np.linspace(0,Tf,theta1.size) +theta_real = t*0 - 60 + +#theta1 = 2**(theta1) +#theta2 = 2**(ltheta2) +#theta3 = 2**(ltheta3) + +plt.figure(figsize=(10, 6), dpi=100) +plt.plot(t,theta1,'-',linewidth=2,label= r'$\theta_1 = $' + str(round(theta1[-1],2)) ) +#plt.plot(t,theta1_s,'o-',linewidth=2,label= r'$\theta_1 stokes = $' + str(round(theta1_s[-1],2)) ) +#plt.plot(t,theta2,'o-',linewidth=2,label= r'$\theta_2 = $' + str(round(theta2[-1],2)) ) +#plt.plot(t,theta3,'o-',linewidth=2,label= r'$\theta_3 = $' + str(round(theta3[-1],2)) ) + +plt.plot(t,theta_real,'-k',linewidth=2,label= r'$real = $' + str( theta_real[-1] ) ) + + +plt.xlabel(r'$time \ \ \ (s)$',fontsize=20) +plt.ylabel(r'$ \theta $',fontsize=20) +plt.legend(fontsize=14) +#plt.title(r'$\sigma = 0.101 $',fontsize =20 ) +plt.show() diff --git a/kalman/plot_roukf_parameters.py b/kalman/plot_roukf_parameters.py new file mode 100644 index 0000000..73ad86a --- /dev/null +++ b/kalman/plot_roukf_parameters.py @@ -0,0 +1,121 @@ +import matplotlib.pyplot as plt +import numpy as np +from itertools import cycle +import argparse +import pickle + + +def is_ipython(): + ''' Check if script is run in IPython. + + Returns: + bool: True if IPython, else False ''' + try: + get_ipython() + ipy = True + except NameError: + ipy = False + + return ipy + + +def load_data(file): + ''' Load numpy data from file. + + Returns + dict: data dictionary + ''' + dat = np.load(file) + + return dat + + +def plot_parameters(dat, deparameterize=False, ref=None): + ''' Plot the parameters in separate subplots with uncertainties. + + Args: + dat (dict): data dictionary + deparameterize (bool): flag indicating if parameters should be + deparameterized via 2**theta + ref: reference value to be plotted with parameters + ''' + if is_ipython(): + plt.ion() + + dim = dat['theta'].shape[-1] + fig1, axes = plt.subplots(1, dim) + + if dim == 1: + axes = [axes] + + axes[0].set_ylabel(r'$\theta$') + + t = dat['times'] + theta = dat['theta'] + P = dat['P_theta'] + + col = cycle(['C0', 'C1', 'C0', 'C1']) + ls = cycle(['-', '-', '--', '--', ':', ':', '-.', '-.']) + + col_ = next(col) + ls_ = next(ls) + for i, ax in enumerate(axes): + if dim == 1: + theta = theta.reshape((-1, 1)) + P = P.reshape((-1, 1, 1)) + + if deparameterize: + ax.plot(t, 2**theta[:, i], '-', c=col_, ls=ls_) + else: + ax.plot(t, theta[:, i], '-', c=col_, ls=ls_) + ax.fill_between(t, theta[:, i] - np.sqrt(P[:, i, i]), + theta[:, i] + np.sqrt(P[:, i, i]), alpha=0.3, + color=col_) + ax.set_xlabel(r'time') + + if ref: + if isinstance(ref, (int, float)): + ref = np.array(ref) + + for ax, ri in zip(axes, ref): + if ri: + # if deparameterize: + ax.plot((t[0], t[-1]), (ri, )*2, '-.k', lw=2, + label=r'ground truth') + # else: + # ax.plot((t[0], t[-1]), (np.log2(ri), )*2, '-.k', lw=2, + # label=r'ground truth') + + # print('theta_peak: \t {}'.format(theta[round(len(theta)/2), :])) + print('Final value theta: \t {}'.format(theta[-1, :])) + print('Deparameterized: 2^theta_end: \t {}'.format(2**theta[-1, :])) + + if not is_ipython(): + plt.show() + + +def get_parser(): + parser = argparse.ArgumentParser( + description=''' +Plot the time evolution of the ROUKF estimated parameters. + +To execute in IPython:: + + %run plot_roukf_parameters.py [-d] [-r N [N \ +...]] file +''', + formatter_class=argparse.RawDescriptionHelpFormatter) + parser.add_argument('file', type=str, help='path to ROUKF stats file') + parser.add_argument('-d', '--deparameterize', action='store_true', + help='deparameterize the parameters by 2**theta') + parser.add_argument('-r', '--ref', metavar='N', nargs='+', default=None, + type=float, help='Reference values for parameters') + return parser + + +if __name__ == '__main__': + args = get_parser().parse_args() + + dat = load_data(args.file) + + plot_parameters(dat, deparameterize=args.deparameterize, ref=args.ref) diff --git a/kalman/run.py b/kalman/run.py new file mode 100644 index 0000000..d691f9c --- /dev/null +++ b/kalman/run.py @@ -0,0 +1,75 @@ +from roukf.core import ROUKF +import argparse +import importlib +from dolfin import * +import dolfin +import logging + +logging.getLogger().setLevel(logging.INFO) + +parameters['form_compiler']['optimize'] = True +parameters['form_compiler']['cpp_optimize'] = True +parameters['form_compiler']['cpp_optimize_flags'] = ('-O3 -ffast-math ' + '-march=native') + + +def print_timing(): + if dolfin.__version__ >= '2018': + list_timings(TimingClear.clear, [TimingType.wall]) + else: + list_timings(TimingClear_clear, [TimingType_wall]) + + +def main(fwd_solver_module, inputfile): + ''' Run ROUKF parameter estimation. + + Imports the given forward solver module and initializes the forward solver + with the specified input file. + Creates a ROUKF solver from the same input file and the instantiated + forward solver object and solves the optimization problem specified in the + input file. + + Args: + fwd_solver_module (str): forward solver module to be imported and + passed to the ROUKF solver + inputfile (str): YAML input file with configuration of both + forward and ROUKF solver + ''' + + fwd_solver = importlib.import_module(fwd_solver_module) + fwd_solver = fwd_solver.init(inputfile) + fwd_solver.logger.setLevel(logging.WARNING) + + kf = ROUKF(inputfile, fwd_solver) + kf.logger.setLevel(logging.INFO) + kf.solve() + + print_timing() + + +def get_parser(): + parser = argparse.ArgumentParser( + description='''\ +Run ROUKF parameter estimation. + +1. Imports the given forward solver module and initializes the forward solver + with the specified input file. The solver module is required to have a + method `init()` which handles the complete setup and returns self. +2. Creates a ROUKF solver from the same input file and the instantiated + forward solver object and solves the optimization problem specified in the + input file.''', + formatter_class=argparse.RawDescriptionHelpFormatter) + parser.add_argument('fwd_solver', type=str, + help='Name of the forward solver module (see full' + ' documentation), such that it can be imported.\n' + 'For example:\n navierstokes.solver or ' + 'hyperelasticity.solver') + parser.add_argument('inputfile', type=str, help='path to YAML input file') + return parser + + +if __name__ == '__main__': + + args = get_parser().parse_args() + + main(args.fwd_solver, args.inputfile) diff --git a/kalman/run_forward.py b/kalman/run_forward.py new file mode 100644 index 0000000..fa63e45 --- /dev/null +++ b/kalman/run_forward.py @@ -0,0 +1,42 @@ +''' Run a forward simulation. +Detects FractionalStep and Hyperelasticity from input files. +''' +from dolfin import parameters +import ruamel.yaml as yaml +import argparse +import logging +logging.getLogger().setLevel(logging.INFO) + +parameters['form_compiler']['optimize'] = True +parameters['form_compiler']['cpp_optimize'] = True +parameters['form_compiler']['cpp_optimize_flags'] = ('-O3 -ffast-math ' + '-march=native') + +def get_forward_solver(inputfile): + ''' Get forward solver from input file ''' + with open(inputfile, 'r') as f: + options = yaml.load(f) + + if 'fluid' in options: + from navierstokes import solver + elif 'material' in options: + parameters['form_compiler']['quadrature_degree'] = 6 + from hyperelasticity import solver + + return solver + + +def get_parser(): + parser = argparse.ArgumentParser( + description='Run forward simulation', + formatter_class=argparse.RawDescriptionHelpFormatter) + parser.add_argument('inputfile', type=str, help='path to YAML input file') + return parser + + +if __name__ == '__main__': + inputfile = get_parser().parse_args().inputfile + + solver = get_forward_solver(inputfile) + sol = solver.init(inputfile) + sol.solve() diff --git a/presentation/pres03.tex b/presentation/pres03.tex index 0e9d889..ade2973 100755 --- a/presentation/pres03.tex +++ b/presentation/pres03.tex @@ -23,6 +23,7 @@ \usepackage{listings,xcolor,caption, mathtools, wrapfig} \usepackage{amsfonts} \usepackage{amssymb,graphicx,enumerate} +\usepackage{subcaption} \usepackage{hyperref} \usepackage[normalem]{ulem} % for strike out command \sout @@ -682,16 +683,36 @@ Experiments using real 4D flow data + \begin{frame} \frametitle{Results} \footnotesize -\begin{figure}[!hbtp] - \begin{center} - \includegraphics[height=0.5\textwidth]{images/phantom_cib.png} -\caption{At peak systole: a) measurements b) corrector field c) corrected measurements: $\vec u_{meas} + \vec w$} - \end{center} - \end{figure} +\begin{figure} +\begin{subfigure}{.31\textwidth} + \centering + \includegraphics[trim=100 80 100 150, clip, width=1.0\textwidth]{images/u_15.png} + \caption*{(a) $\vec{u}_{meas}$} +\end{subfigure} +\begin{subfigure}{.01\textwidth} + \hfill +\end{subfigure} +\begin{subfigure}{.31\textwidth} + \centering + \includegraphics[trim=100 80 100 150, clip, width=1.0\textwidth]{images/w_15.png} + \caption*{(b) $\vec{w}$} +\end{subfigure} +\begin{subfigure}{.01\textwidth} + \hfill +\end{subfigure} +\begin{subfigure}{.31\textwidth} + \centering + \includegraphics[trim=100 80 100 150, clip, width=1.0\textwidth]{images/uc_15.png} + \caption*{(c) $\vec{u}_{meas}+\vec{w}$} +\end{subfigure} +\caption{Measurements, corrector fields and corrected velocities for all the cases.} +\label{fig:phantom_resolution} +\end{figure} \end{frame}