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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