From 9f0dd92a14872be521a319f9e370440841011014 Mon Sep 17 00:00:00 2001 From: seimurs Date: Mon, 4 Aug 2025 15:39:57 +0100 Subject: [PATCH 1/2] 1) introducing wave forcing interface adapting fragkouan/thetis_wci. 2) tidal inlet test case in examples. 3) introduction of wave_forcing option for sediments and van Rijn bedload formulation. --- examples/tidalInlet/inlet.py | 1 + examples/tidalInlet/plot_results.py | 272 + .../tidalInlet/tidalInlet_bathymetry_data.msh | 18591 +++++++++++++++ examples/tidalInlet/tidalinlet.msh | 19021 ++++++++++++++++ test/examples/test_examples.py | 1 + thetis/coupled_timeintegrator_2d.py | 5 +- thetis/field_defs.py | 42 + thetis/options.py | 17 +- thetis/radiation_stress.py | 301 + thetis/sediment_model.py | 91 +- thetis/shallowwater_eq.py | 37 + thetis/solver2d.py | 171 +- 12 files changed, 38530 insertions(+), 20 deletions(-) create mode 120000 examples/tidalInlet/inlet.py create mode 100644 examples/tidalInlet/plot_results.py create mode 100644 examples/tidalInlet/tidalInlet_bathymetry_data.msh create mode 100644 examples/tidalInlet/tidalinlet.msh create mode 100644 thetis/radiation_stress.py diff --git a/examples/tidalInlet/inlet.py b/examples/tidalInlet/inlet.py new file mode 120000 index 000000000..f7ddd95a6 --- /dev/null +++ b/examples/tidalInlet/inlet.py @@ -0,0 +1 @@ +/Users/sshirinov/Library/CloudStorage/OneDrive-AlmaMaterStudiorumUniversitàdiBologna/mac/cmcc/shyfem/cases/inlet/thetis/inlet.py \ No newline at end of file diff --git a/examples/tidalInlet/plot_results.py b/examples/tidalInlet/plot_results.py new file mode 100644 index 000000000..60630d313 --- /dev/null +++ b/examples/tidalInlet/plot_results.py @@ -0,0 +1,272 @@ +import os +import sys +import numpy as np +import pyvista as pv +import matplotlib.pyplot as plt +import matplotlib.tri as tri +from matplotlib.cm import get_cmap +import matplotlib.colors as colors +import colorcet as cc # Required if using 'cet_rainbow4' colormap + +# Execution set-up is at the end of this script + +# FUNCTIONS: +# ============================================================================== +def truncate_colormap(cmap, minval=0.0, maxval=1.0, n=100): + return colors.LinearSegmentedColormap.from_list( + f'trunc({cmap.name},{minval:.2f},{maxval:.2f})', + cmap(np.linspace(minval, maxval, n)) + ) + +def plot_combined_view( + timestep_val: int, + coredirout: str, + extension: str, + cmap_obj: plt.cm, + fig_size: tuple = (18, 16), + aspect_equal: bool = True +) -> None: + """ + Plots velocity, sediment, bathymetry, and SSH fields in a 2x2 subplot for a given timestep. + """ + + # Configure the min-max color bar values for the fields + plot_configs = { + 'vel': { + 'VARIABLE_BASE_NAME': 'Velocity2d', + 'FIELD_NAME_IN_VTU': 'Depth averaged velocity', + 'VARIABLE_BASE_DIR': 'Velocity2d', + 'vmin': 0.0, 'vmax': 0.5, + 'is_bathymetry': False, 'is_sediments': False, 'is_ssh': False, + 'title': 'Velocity Magnitude' + }, + 'sed': { + 'VARIABLE_BASE_NAME': 'Sediment2d', + 'FIELD_NAME_IN_VTU': 'Sediment', + 'VARIABLE_BASE_DIR': 'Sediment2d', + 'vmin': 0.0, 'vmax': 0.5, + 'is_bathymetry': False, 'is_sediments': True, 'is_ssh': False, + 'title': 'Sediment Concentration' + }, + 'bathy': { + 'VARIABLE_BASE_NAME': 'Bathymetry2d', + 'FIELD_NAME_IN_VTU': 'Bathymetry', + 'VARIABLE_BASE_DIR': 'Bathymetry2d', + 'vmin': 9.0, 'vmax': 12.0, + 'is_bathymetry': True, 'is_sediments': False, 'is_ssh': False, + 'title': 'Bathymetry Change' + }, + 'ssh': { + 'VARIABLE_BASE_NAME': 'Elevation2d', + 'FIELD_NAME_IN_VTU': 'Elevation', + 'VARIABLE_BASE_DIR': 'Elevation2d', + 'vmin': 0.94, 'vmax': 1.03, + 'is_bathymetry': False, 'is_sediments': False, 'is_ssh': True, + 'title': 'Sea Surface Height (SSH)' + } + } + + def get_data_for_plot(config): + """Helper function to load and process data for a single plot.""" + data_dir = os.path.join(coredirout, config['VARIABLE_BASE_DIR'], config['VARIABLE_BASE_DIR']) + file_name = f"{config['VARIABLE_BASE_NAME']}_{timestep_val}.{extension}" + filepath = os.path.join(data_dir, file_name) + + if not os.path.exists(filepath): + print(f"Warning: File not found for {config['title']} at timestep {timestep_val}. Skipping.") + return None + + try: + mesh = pv.read(filepath) + if config['is_bathymetry']: + originalbathy_mesh = pv.read(os.path.join(data_dir, f"{config['VARIABLE_BASE_NAME']}_{0}.{extension}")) + if config['is_ssh']: + filepath_vel = os.path.join(f'{coredirout}/Velocity2d/Velocity2d', f"Velocity2d_{timestep_val}.{extension}") + mesh_vel = pv.read(filepath_vel) + except Exception as e: + print(f"Error reading mesh for {config['title']}: {e}. Skipping.") + return None + + field_name = config['FIELD_NAME_IN_VTU'] + if field_name in mesh.cell_data: + mesh = mesh.cell_data_to_point_data() + if config['is_bathymetry']: + originalbathy_mesh = originalbathy_mesh.cell_data_to_point_data() + + if field_name not in mesh.point_data: + print(f"Error: Field '{field_name}' not found for {config['title']}. Skipping.") + return None + + raw_field_data = mesh.point_data[field_name] + velocity_x, velocity_y = None, None + + is_vector_field = (field_name == 'Depth averaged velocity' and raw_field_data.ndim > 1 and raw_field_data.shape[-1] >= 2) + + if is_vector_field: + velocity_x, velocity_y = raw_field_data[:, 0], raw_field_data[:, 1] + field_data = np.sqrt(velocity_x**2 + velocity_y**2) + elif config['is_bathymetry']: + raw_field_data_originalbathy = originalbathy_mesh.point_data[field_name] + field_data = (raw_field_data_originalbathy - raw_field_data) + 10 + elif config['is_sediments']: + field_data = raw_field_data * 1024 + elif config['is_ssh']: + field_data = raw_field_data + raw_field_data_vel = mesh_vel.point_data['Depth averaged velocity'] + velocity_x, velocity_y = raw_field_data_vel[:, 0], raw_field_data_vel[:, 1] + else: + field_data = raw_field_data + + # Triangulation + try: + tri_mesh = mesh.extract_surface().extract_all_triangles() + if tri_mesh.n_cells > 0 and tri_mesh.faces.size > 0: + triangle_cells = tri_mesh.faces.reshape(-1, 4)[:, 1:] if tri_mesh.faces[0] == 3 else tri_mesh.faces.reshape(-1, 3) + else: + triangle_cells = mesh.cells.reshape((-1, 4))[:, 1:] + except Exception: + triangle_cells = mesh.cells.reshape((-1, 4))[:, 1:] + + unique_indices = np.unique(triangle_cells.flatten()) + idx_map = np.full(mesh.points.shape[0], -1, dtype=int) + idx_map[unique_indices] = np.arange(len(unique_indices)) + + filtered_points = mesh.points[unique_indices, :2] + filtered_field_data = field_data[unique_indices] + x_coords, y_coords = filtered_points[:, 0], filtered_points[:, 1] + remapped_cells = idx_map[triangle_cells] + triangulation = tri.Triangulation(x_coords, y_coords, remapped_cells) + + return { + 'triangulation': triangulation, + 'filtered_field_data': filtered_field_data, + 'config': config, + 'is_vector_field': is_vector_field or config['is_ssh'], + 'velocity_x': velocity_x[unique_indices] if velocity_x is not None else None, + 'velocity_y': velocity_y[unique_indices] if velocity_y is not None else None, + 'filtered_points': filtered_points + } + + # --- Plotting Setup --- + fig, axes = plt.subplots(2, 2, figsize=fig_size, dpi=200) + fig.suptitle(f"Combined View — Timestep {timestep_val}", fontsize=24) + + plot_order = [('vel', axes[0, 0]), ('sed', axes[0, 1]), + ('bathy', axes[1, 0]), ('ssh', axes[1, 1])] + + for key, ax in plot_order: + plot_data = get_data_for_plot(plot_configs[key]) + if plot_data is None: + ax.text(0.5, 0.5, 'Data not available', ha='center', va='center') + ax.set_title(plot_configs[key]['title']) + continue + + # --- Plotting Logic --- + config = plot_data['config'] + vmin, vmax = config['vmin'], config['vmax'] + contour_step = (vmax - vmin) / NUM_CBARS + levels = np.arange(vmin, vmax + contour_step, contour_step) + + im = ax.tricontourf( + plot_data['triangulation'], + plot_data['filtered_field_data'], + levels=levels, cmap=cmap_obj, extend='both', vmin=vmin, vmax=vmax + ) + + if plot_data['is_vector_field']: + from scipy.interpolate import griddata + xi = np.linspace(plot_data['filtered_points'][:, 0].min(), plot_data['filtered_points'][:, 0].max(), 100) + yi = np.linspace(plot_data['filtered_points'][:, 1].min(), plot_data['filtered_points'][:, 1].max(), 100) + grid_x, grid_y = np.meshgrid(xi, yi) + u_grid = griddata(plot_data['filtered_points'], plot_data['velocity_x'], (grid_x, grid_y), method='linear') + v_grid = griddata(plot_data['filtered_points'], plot_data['velocity_y'], (grid_x, grid_y), method='linear') + ax.streamplot(grid_x, grid_y, u_grid, v_grid, color='k', linewidth=0.8, arrowsize=1.0, density=1.5) + + # --- Formatting --- + ax.set_title(config['title'], fontsize=18) + ax.set_xlabel(r'X, $(km)$', fontsize=16) + ax.set_ylabel(r'Y, $(km)$', fontsize=16) + ax.tick_params(axis='both', labelsize=14) + ax.set_xlim([0, 15000]) + ax.set_ylim([0, 14000]) + ax.grid(True, linestyle='--', alpha=0.7) + + from matplotlib.ticker import FuncFormatter + def to_km(x, pos): return f"{x / 1000:.0f}" + ax.xaxis.set_major_formatter(FuncFormatter(to_km)) + ax.yaxis.set_major_formatter(FuncFormatter(to_km)) + + cbar = fig.colorbar(im, ax=ax, orientation='vertical', aspect=20, pad=0.08) + cbar.set_label(config['FIELD_NAME_IN_VTU'], fontsize=16) + cbar.ax.tick_params(labelsize=14) + + tick_step = contour_step * NUM_CBARS/2 + # cbar.set_ticks(np.arange(vmin, vmax + tick_step, tick_step)) + cbar.set_ticks(np.arange(vmin, vmax + contour_step, contour_step*2)) + + plt.tight_layout(rect=[0, 0, 1, 0.96]) + + if 'SHOW_FIG' in globals() and SHOW_FIG: + plt.show() + + if 'SAVE_FIG' in globals() and SAVE_FIG: + FIGURES_DIR = './figures' + if not os.path.exists(FIGURES_DIR): + os.makedirs(FIGURES_DIR) + + filename = os.path.join(FIGURES_DIR, f"combined_view_{timestep_val}.jpg") + plt.savefig(filename, dpi=300, bbox_inches='tight') + print(f"Figure saved to {filename}") + + plt.close(fig) + + + + +# MAIN execution (combined plot) +# ============================================================================== + +# SET UP parameters below to plot: + +# - time window to plot (in terms of time indicies) +# TIME_WINDOW = np.arange(47, 50, 1) # +# TIME_WINDOW = np.arange(4, 6, 1) # +TIME_WINDOW = np.arange(96, 98, 1) # ~ 48 hours if half-hourly export (t_export = 1800) + +# - output files: +coredirout = './outputs_sed' + +# - color map settings +trunc_cmap_min = 0.1 +trunc_cmap_max = 1.0 + +# - bar plot sections - +NUM_CBARS = 20 + +# - extension for file reading +extension = 'vtu' # for single core +extension = 'pvtu' # for multi-core + +# - figure params +COLORMAP_NAME = 'cet_rainbow4' +FIGURE_SIZE = (9, 8) +PLOT_ASPECT_EQUAL = True +SAVE_FIG = True +SHOW_FIG = False # Set to True to show the plot + +# Execute +if __name__ == "__main__": + try: + selected_colormap = get_cmap(COLORMAP_NAME) + selected_colormap = truncate_colormap(selected_colormap, trunc_cmap_min, trunc_cmap_max) + except ValueError: + print(f"Error: Colormap '{COLORMAP_NAME}' not found. 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+12616 2 2 1 3 6166 429 6263 +12617 2 2 1 3 3633 6171 6243 +12618 2 2 1 3 4435 6169 6257 +12619 2 2 1 3 433 6170 6256 +12620 2 2 1 3 6167 960 6264 +12621 2 2 1 3 4047 6172 6252 +12622 2 2 1 3 4066 6173 6259 +12623 2 2 1 3 4094 6174 6242 +12624 2 2 1 3 6176 3636 6260 +12625 2 2 1 3 6180 450 6237 +12626 2 2 1 3 484 6177 6255 +12627 2 2 1 3 6179 961 6240 +12628 2 2 1 3 4354 6181 6253 +12629 2 2 1 3 6183 5263 6251 +12630 2 2 1 3 6185 3635 6245 +12631 2 2 1 3 439 6182 6261 +12632 2 2 1 3 6187 433 6241 +12633 2 2 1 3 6186 3637 6254 +12634 2 2 1 3 6178 439 6262 +12635 2 2 1 3 6188 965 6244 +12636 2 2 1 3 6189 432 6239 +12637 2 2 1 3 6190 3333 6248 +12638 2 2 1 3 3327 6192 6249 +12639 2 2 1 3 960 6191 6250 +12640 2 2 1 3 3335 6184 6258 +12641 2 2 1 3 3900 6193 6247 +12642 2 2 1 3 1985 6197 6238 +12643 2 2 1 3 6196 3871 6236 +12644 2 2 1 3 3638 6198 6246 +12645 2 2 1 3 6107 2852 6312 +12646 2 2 1 3 6085 3602 6317 +12647 2 2 1 3 315 6107 6312 +12648 2 2 1 3 6141 3772 6325 +12649 2 2 1 3 3934 6140 6326 +12650 2 2 1 3 6118 3642 6316 +12651 2 2 1 3 6203 1909 6326 +12652 2 2 1 3 1903 6204 6325 +12653 2 2 1 3 2222 6115 6313 +12654 2 2 1 3 2805 6093 6331 +12655 2 2 1 3 3735 6153 6319 +12656 2 2 1 3 3729 6152 6318 +12657 2 2 1 3 6124 3649 6314 +12658 2 2 1 3 6135 3969 6320 +12659 2 2 1 3 3618 6127 6321 +12660 2 2 1 3 3667 6159 6330 +12661 2 2 1 3 2282 6231 6321 +12662 2 2 1 3 6231 3618 6321 +12663 2 2 1 3 6161 2805 6331 +12664 2 2 1 3 6199 3655 6329 +12665 2 2 1 3 6200 3660 6327 +12666 2 2 1 3 6283 2066 6333 +12667 2 2 1 3 6284 451 6332 +12668 2 2 1 3 2054 6285 6335 +12669 2 2 1 3 6288 1815 6336 +12670 2 2 1 3 6287 479 6334 +$EndElements diff --git a/test/examples/test_examples.py b/test/examples/test_examples.py index c9ebfe1b8..b8aa9d250 100644 --- a/test/examples/test_examples.py +++ b/test/examples/test_examples.py @@ -52,6 +52,7 @@ 'north_sea/plot_setup.py', 'north_sea/spinup.py', 'north_sea/run.py', + 'tidalInlet/inlet.py', ] cwd = os.path.abspath(os.path.dirname(__file__)) diff --git a/thetis/coupled_timeintegrator_2d.py b/thetis/coupled_timeintegrator_2d.py index a5f10e0a0..518bde275 100644 --- a/thetis/coupled_timeintegrator_2d.py +++ b/thetis/coupled_timeintegrator_2d.py @@ -199,12 +199,11 @@ def initialize(self, solution2d): self.timesteppers.swe2d.initialize(self.fields.solution_2d) if self.nh_options.update_free_surface: self.timesteppers.fs2d.initialize(self.fields.elev_2d) + self.elev_old.assign(self.fields.elev_2d) @PETSc.Log.EventDecorator("thetis.NonHydrostaticTimeIntegrator2D.advance") def advance(self, t, update_forcings=None): """Advances equations for one time step.""" - if self.nh_options.update_free_surface: - self.elev_old.assign(self.fields.elev_2d) if self.serial_advancing: # --- advance in serial --- self.timesteppers.swe2d.advance(t, update_forcings=update_forcings) @@ -214,6 +213,7 @@ def advance(self, t, update_forcings=None): if self.nh_options.update_free_surface: self.fields.elev_2d.assign(self.elev_old) self.timesteppers.fs2d.advance(t, update_forcings=update_forcings) + self.elev_old.assign(self.fields.elev_2d) # update old solution if self.options.swe_timestepper_type == 'SSPIMEX': self.timesteppers.swe2d.erk.solution_old.assign(self.fields.solution_2d) @@ -234,3 +234,4 @@ def advance(self, t, update_forcings=None): elif last_stage: self.fields.elev_2d.assign(self.elev_old) self.timesteppers.fs2d.advance(t, update_forcings=update_forcings) + self.elev_old.assign(self.fields.elev_2d) diff --git a/thetis/field_defs.py b/thetis/field_defs.py index fa0733acc..b454f91f6 100644 --- a/thetis/field_defs.py +++ b/thetis/field_defs.py @@ -250,9 +250,51 @@ 'unit': 'm s-1', 'filename': 'VertVelo2d', } +field_metadata['rad_stress_2d'] = { + 'name': 'Gradient of radiations stress', + 'shortname': 'Grad radiation stress', + 'unit': 'kg m-1 s-2', + 'filename': 'GradRadStress2d', +} +field_metadata['roller_2d'] = { + 'name': 'Roller effects', + 'shortname': 'Roller effects', + 'unit': 'kg m-1 s-2', + 'filename': 'Roller2d', +} field_metadata['turbine_density_2d'] = { 'name': 'Turbine density', 'shortname': 'Turbine density', 'unit': 'm-2', 'filename': 'turbine_density_2d' } +field_metadata['wave_height_2d'] = { + 'name': 'Significant wave height', + 'shortname': 'Hs', + 'unit': 'm', + 'filename': 'WaveHeight2d', +} +field_metadata['wave_peak_freq_2d'] = { + 'name': 'Peak wave frequency', + 'shortname': 'Fp', + 'unit': 's-1', + 'filename': 'WavPeakFreq2d', +} +field_metadata['wave_dir_2d'] = { + 'name': 'Wave direction', + 'shortname': 'Wdir', + 'unit': 'deg (meteo)', + 'filename': 'WaveDir2d', +} +field_metadata['wave_orbital_vel_2d'] = { + 'name': 'Near-bed wave orbital velocity magnitude', + 'shortname': 'Uw', + 'unit': 'm/s', + 'filename': 'WaveOrbVel2d', +} +field_metadata['wave_mean_period_2d'] = { + 'name': 'Mean wave period', + 'shortname': 'Tm', + 'unit': 's', + 'filename': 'WaveMeanPeriod2d', +} diff --git a/thetis/options.py b/thetis/options.py index 943c60b8f..69261c95b 100644 --- a/thetis/options.py +++ b/thetis/options.py @@ -750,6 +750,11 @@ class CommonModelOptions(FrozenConfigurable): help='Name of the exner time integrator').tag(config=True), Instance(TimeStepperOptions, args=()).tag(config=True)) class SedimentModelOptions(FrozenHasTraits): + # seime.turn on waves: + wave_forcing = Bool(False, + help='Activate wave forcing. This implies providing the following wave parameters: orbital velocity, height, direction, frequency, and period.' + ).tag(config=True) + van_Rijn_bedload = Bool(False, help='Use van Rijn (2007) bedload formulation').tag(config=True) solve_exner = Bool(False, help='Solve exner equation for bed morphology').tag(config=True) solve_suspended_sediment = Bool(False, help='Solve suspended sediment transport equation').tag(config=True) use_sediment_conservative_form = Bool(False, help='Solve 2D sediment transport in the conservative form').tag(config=True) @@ -934,7 +939,17 @@ class ModelOptions2d(CommonModelOptions): False, help="Use SUPG stabilisation in tracer advection").tag(config=True) tracer_picard_iterations = PositiveInteger( 1, help="Number of Picard iterations taken for tracer equations.").tag(config=True) - + wave_curr_inter = Bool( + False, help="Enable wave-current interaction").tag(config=True) + use_swan = Bool( + False, help="Use SWAN's gradient of radiation stress").tag(config=True) + use_mellor = Bool( + False, help="Use Mellor's formulation for radiation stress").tag(config=True) + use_roller = Bool( + False, help="Add Roller effects").tag(config=True) + use_monochromatic = Bool( + False, help="Wave conditions are monochromatic").tag(config=True) + def __init__(self, *args, **kwargs): self.tracer = OrderedDict() self.tracer_fields = OrderedDict() diff --git a/thetis/radiation_stress.py b/thetis/radiation_stress.py new file mode 100644 index 000000000..c9a9053b0 --- /dev/null +++ b/thetis/radiation_stress.py @@ -0,0 +1,301 @@ +from firedrake import * +from .utility import * +import numpy as np + +class clrtxt: + purple = '\033[95m' + cyan = '\033[96m' + darkcyan = '\033[36m' + blue = '\033[94m' + green = '\033[92m' + yellow = '\033[93m' + red = '\033[91m' + bold = '\033[1m' + underline = '\033[4m' + end = '\033[0m' + + +class WaveEffectsOnCurrents(object): + """ + Calculates the effects of waves on currents + """ + def __init__(self, mesh2d, solver_options, solver_fields): + """ + """ + self.mesh = mesh2d + self.comm = mesh2d.comm + self.options = solver_options + self.fields = solver_fields + + self.depth = DepthExpression( + self.fields.bathymetry_2d, + use_nonlinear_equations=self.options.use_nonlinear_equations, + use_wetting_and_drying=self.options.use_wetting_and_drying, + wetting_and_drying_alpha=self.options.wetting_and_drying_alpha + ) + + self.rho0 = physical_constants['rho0'] + self.g_grav = physical_constants['g_grav'] + + # Define functionspaces + self.P1_2d = get_functionspace(self.mesh, "CG", 1) + self.P1v_2d = VectorFunctionSpace(self.mesh, "CG", 1) + + + def update(self, grad_rad_stress=None, l_wave=None, dir_wave = None, + h_wave=None, qb=None, c1=1.0): + """ + Update the wave effects on currents + """ + + # If using the gradient of radiation stress as calculated by SWAN + if self.options.use_swan: + message = clrtxt.bold + clrtxt.red + "Terminating program: " +\ + clrtxt.end + "The option to use the gradient of radiation " +\ + "as calculated by SWAN for the Wave Effects On Currents " +\ + "(WEOC) hasn't been implemented yet" + raise SystemExit(message) + + # Use the Mellor (2015) formulation to calculate the gradient of radiation + # stress from waves + else: + # Update the radiation stress formulation by multiplying with the + # ramp coefficient + h_wave.dat.data[:] = h_wave.dat.data[:] * c1 + dir_wave.dat.data[:] = dir_wave.dat.data[:] * c1 + l_wave.dat.data[:] = l_wave.dat.data[:] * c1 + qb.dat.data[:] = qb.dat.data[:] * c1 + + # Multiply with coeff + self.mellor(l_wave, dir_wave, h_wave) + + # Include wave roller effects + if self.options.use_roller: + self.roller_effects(l_wave, dir_wave, h_wave, qb) + + + def swan_results(self, grad_rad_stress): + """ + Not implemented yet. The plan is to use the already calculated SWAN's + radiation stress directly and not calculate it from scratch + + Args: + grad_rad_stress: + + Returns: + """ + + + self.fields.rad_stress_2d.interpolate(Constant(1.)*grad_rad_stress) + + return + + + def mellor(self, l_wave, dir_wave, h_wave): + + """ + Use the formulation found in + Mellor, G. (2015), "A combined derivation of the integrated and \ + vertically resolved, coupled wave-current equations", Journal of \ + Physical Oceanography 45(6), 1453-1463 + $ S_{ij} = E * ( c_g/c * k_i*k_j/k^2 + \delta_ij*(c_g/c - 0.5) ) $ + where + E is the wave energy; + c_g : the group velocity; + c : the phase velocity; + k : the wavenumber; + \delta_ij : the Kronecker delta function (=1 when i=j, else =0); + i,j : the x- or y-direction; + S_ij : the vertically integrated radiation stress + to calculate the gradient of radiation stress and update the relevant + Thetis field + + Note: + It updates the self.fields.rad_stress_2d + + Args: + l_wave: Wavelength [m] + dir_wave : Wave direction [o] + h_wave : Wave height [m] + + Returns: + None + """ + # Define limiters + # Minimum wavelength [m] + l_min = Constant(1.) + # Maximum wavenumber*(total depth) + kh_max = Constant(5.) + + # Apply limiter in the wavelength + l_wave.interpolate(Max(l_wave, l_min)) + + # Calculate the wavenumber + k = Function(self.P1_2d).interpolate(Constant(2*pi)/l_wave) + + #Convert wave direction to radians + dir_wave.interpolate(dir_wave*Constant(pi/180.)) + + # Angle + theta = Function(self.P1_2d).interpolate(dir_wave) + + ## Wavenumber components + # x-component + kx = Function(self.P1_2d).interpolate(k*cos(theta)) + # y-component + ky = Function(self.P1_2d).interpolate(k*sin(theta)) + + #Calculate the wave energy + if self.options.use_monochromatic: + # From Kudale & Bhalerao (2015) : "Design wave height should be + # average of the highest 1/10 of the waves, i.e. H_(1/10), instead + # of just H while representing waves by monochromatic wave trains + # H_(1/10) = 1.27*H + energy = Function(self.P1_2d).interpolate( + Constant(1/8*1.27**2)*self.rho0*self.g_grav*h_wave**2 + ) + else: + energy = Function(self.P1_2d).interpolate( + Constant( 1 / 8 ) * self.rho0 * self.g_grav * h_wave ** 2 + ) + + # Calculate total depth + h_total = self.depth.get_total_depth(self.fields.elev_2d) + #Calculate the (wavenumber)*(total_depth) and apply limiter + kh = Function(self.P1_2d).interpolate( + Min(k*h_total+Constant(10**(-14)), kh_max) + ) + + #Calculate (group velocity)/(phase velocity) + n = Function(self.P1_2d).interpolate( + Constant(0.5)+kh/sinh(Constant(2.)*kh) + ) + + #Calculate radiation stress + sxx = Function(self.P1_2d).interpolate( + energy*(n*(kx**2/k**2+Constant(1.))-Constant(0.5)) + ) + sxy = Function(self.P1_2d).interpolate(energy*(n*(kx*ky/k**2))) + syy = Function(self.P1_2d).interpolate( + energy*(n*(ky**2/k**2+Constant(1.))-Constant(0.5)) + ) + + #Calculate gradient of radiation stress + sxx_dx = Function(self.P1_2d).interpolate(sxx.dx(0)) + syy_dy = Function(self.P1_2d).interpolate(syy.dx(1)) + sxy_dx = Function(self.P1_2d).interpolate(sxy.dx(0)) + sxy_dy = Function(self.P1_2d).interpolate(sxy.dx(1)) + + #Gradient of radiation stress components + s_x = Function(self.P1_2d).interpolate(-sxx_dx-sxy_dy) + s_y = Function(self.P1_2d).interpolate(-syy_dy-sxy_dx) + + # Update field + self.fields.rad_stress_2d.interpolate(as_vector([s_x, s_y])) + + return + + + def roller_effects(self, l_wave, dir_wave, h_wave, qb): + """ + Calculate the gradient of wave roller effects according to Svendsen \ + (1984) and Reniers & Battjes (1987): + $ R_{ij} = 2 * E_r * k_i*k_j/k^2 $ + where + $ E_r = \\rho * g * A_r * \sin{\phi} $ is the energy due to wave \ + roller interface calculate according to Duncan (1981); + $ A_r = 0.9 * H^2 $ is the roller area (Svendsen 1984); + $ \phi$ is the roller angle with $ \tan{phi} ~ 0.1 $ (Reniers & \ + Battjes 1997; Martins et al. 2018) + $ k $ is the wavenumber; + $ i, j$ are the $x-$ and $y-$direction respectively + + Note: + The self.fields.roller_2d is updated + + Args: + l_wave : Wavelength [m] + dir_wave : Wave direction [o] + h_wave : Wave height [m] + qb : Percentage of wave breking [-] + + Returns: + None + """ + # Define limiters + # Minimum wavelength [m] + l_min = Constant(1.) + # Maximum wavenumber*(total depth) + kh_max = Constant(5.) + + # Apply limiter in the wavelength + l_wave.interpolate(Max(l_wave, l_min)) + + # Calculate the wavenumber + k = Function(self.P1_2d).interpolate(Constant(2 * pi) / l_wave) + + # Convert wave direction to radians + dir_wave.interpolate(dir_wave * Constant(pi / 180.)) + + # Angle + theta = Function(self.P1_2d).interpolate(dir_wave) + + ## Wavenumber components + # x-component + kx = Function(self.P1_2d).interpolate(k * cos(theta)) + # y-component + ky = Function(self.P1_2d).interpolate(k * sin(theta)) + + # Define constants + sinb = 0.1 + + if self.options.use_monochromatic: + # Calculate roller wave area according to Svendsen 1984 (see \ + # Martins et al. 2018) + A = Function(self.P1_2d).interpolate( + Constant(0.9 * 1.27 ** 2) * h_wave ** 2 * qb) + else: + A = Function(self.P1_2d).interpolate( + Constant(0.9) * (h_wave) ** 2 * qb + ) + + # Calculate the roller wave energy + # energy = Function(self.P1_2d).interpolate(-self.g_grav*A*cp**2/l_wave) + roller_en = Function(self.P1_2d).interpolate( + -self.rho0 * self.g_grav * A * sinb + ) + # Calculate total depth + h_total = self.depth.get_total_depth(self.fields.elev_2d) + # Calculate the (wavenumber)*(total_depth) and apply limiter + kh = Function(self.P1_2d).interpolate( + Min(k * h_total + Constant(10 ** (-14)), kh_max)) + + # Calculate (group velocity)/(phase velocity) + n = Function(self.P1_2d).interpolate( + Constant(0.5) + kh / sinh(Constant(2.) * kh)) + + sxx = Function(self.P1_2d).interpolate( + Constant(2) * roller_en * kx ** 2 / k ** 2 + ) + sxy = Function(self.P1_2d).interpolate( + Constant(2) * roller_en * kx * ky / k ** 2 + ) + syy = Function(self.P1_2d).interpolate( + Constant(2) * roller_en * ky ** 2 / k ** 2 + ) + + # Calculate gradient of radiation stress + sxx_dx = Function(self.P1_2d).interpolate(sxx.dx(0)) + syy_dy = Function(self.P1_2d).interpolate(syy.dx(1)) + sxy_dx = Function(self.P1_2d).interpolate(sxy.dx(0)) + sxy_dy = Function(self.P1_2d).interpolate(sxy.dx(1)) + + # Gradient of radiation stress components + s_x = Function(self.P1_2d).interpolate(-sxx_dx - sxy_dy) + s_y = Function(self.P1_2d).interpolate(-syy_dy - sxy_dx) + + # Update field + self.fields.roller_2d.interpolate(as_vector([s_x, s_y])) + + return + diff --git a/thetis/sediment_model.py b/thetis/sediment_model.py index 02328cb1e..f74838c5f 100644 --- a/thetis/sediment_model.py +++ b/thetis/sediment_model.py @@ -1,5 +1,6 @@ from .utility import * from .log import warning +# from thetis import solver2d class CorrectiveVelocityFactor: @@ -56,7 +57,10 @@ def update(self): class SedimentModel(object): - def __init__(self, options, mesh2d, uv, elev, depth): + # def __init__(self, options, mesh2d, uv, elev, depth): + def __init__(self, options, mesh2d, uv, elev, depth, + uw=Constant(0), hs=Constant(0), wdir=Constant(0), fp=Constant(0), tm=Constant(0)): + # def __init__(self, options, mesh2d, uv, elev, depth, uw): """ Set up a full morphological model simulation based on provided velocity and elevation functions. @@ -90,6 +94,19 @@ def __init__(self, options, mesh2d, uv, elev, depth): self.use_slope_mag_correction = options.sediment_model_options.use_slope_mag_correction self.use_advective_velocity_correction = options.sediment_model_options.use_advective_velocity_correction self.use_secondary_current = options.sediment_model_options.use_secondary_current + # seime. use this option to activate wave action on sediment transport + self.use_wave_forcing = options.sediment_model_options.wave_forcing + self.use_vanRijn_2007_bedload = options.sediment_model_options.van_Rijn_bedload + + self.uw = uw # near-bed wave-orbital velocity magnitude [m/s] + self.fp = fp # peak wave frequency [s-1] + self.tm = tm # mean wave period [s] + self.wdir = wdir # wave direction [deg] + self.hs = hs # significant wave height [m] + # bedload transport constants, Van Rijn, 2007 + self.eta = Constant(1.0) + self.gamma = Constant(0.5) + self.d_sand = Constant(0.000062) self.mesh2d = mesh2d @@ -119,6 +136,9 @@ def __init__(self, options, mesh2d, uv, elev, depth): kappa = physical_constants['von_karman'] ksp = Function(self.P1_2d).interpolate(3*self.average_size) + + # seime.temp.TidalInlet set-up + # ksp = Function(self.P1_2d).interpolate(Constant(0.0015)) self.a = Function(self.P1_2d).interpolate(self.bed_reference_height/2) if self.options.sediment_model_options.morphological_viscosity is None: @@ -137,12 +157,12 @@ def __init__(self, options, mesh2d, uv, elev, depth): self.R = self.rhos/self.rhow - Constant(1) self.dstar = Function(self.P1_2d).interpolate(self.average_size*((self.g*self.R)/(self.viscosity**2))**(1/3)) - if float(max(self.dstar.dat.data[:])) < 1: - raise ValueError('dstar value less than 1') + # if float(max(self.dstar.dat.data[:])) < 1: + # raise ValueError('dstar value less than 1') self.thetacr = Function(self.P1_2d).interpolate(conditional(self.dstar < 4, 0.24*(self.dstar**(-1)), conditional(self.dstar < 10, 0.14*(self.dstar**(-0.64)), conditional(self.dstar < 20, 0.04*(self.dstar**(-0.1)), - conditional(self.dstar < 150, 0.013*(self.dstar**(0.29)), 0.055))))) + conditional(self.dstar < 150, 0.013*(self.dstar**(0.29)), 0.055))))) # critical bed shear stress self.taucr = Function(self.P1_2d).interpolate((self.rhos-self.rhow)*self.g*self.average_size*self.thetacr) @@ -154,6 +174,9 @@ def __init__(self, options, mesh2d, uv, elev, depth): * (sqrt(1 + 0.01*((self.R*self.g*(self.average_size**3)) / (self.viscosity**2)))-1), 1.1*sqrt(self.g*self.average_size*self.R)))) + # # seime.TidalInlet fixed settling velocity: + # self.settling_velocity = Function(self.P1_2d).interpolate(Constant(0.011)) + # first step: project velocity to CG self.uv_cg = Function(self.P1v_2d).project(self.uv) self.old_bathymetry_2d = Function(self.P1_2d).interpolate(self.depth.bathymetry_2d) @@ -174,15 +197,49 @@ def __init__(self, options, mesh2d, uv, elev, depth): self.mu = conditional(self.qfc > Constant(0), cfactor/self.qfc, Constant(0)) # calculate bed shear stress + + # 1. calculate shear velocity due to currents self.unorm = (self.u**2) + (self.v**2) + ustar_c_norm = Constant(0.5)*self.qfc*self.unorm + ustar_c = sqrt(ustar_c_norm) + + # 2. calculate shear velocity due to waves + if self.use_wave_forcing: + ustar_w_norm = Constant(0.5)*self.qfc*self.uw + ustar_w = sqrt(ustar_w_norm) + # # Angle between waves and currents + # current_dir_rad = atan2(self.v, self.u) + # wave_dir_rad = self.wdir * pi / 180.0 + # phase_shift = wave_dir_rad - current_dir_rad + + # Compute angle between waves and currents (converted to radians) + CDIR = atan2(self.v, self.u)*180.0/pi + WDIR = (90.0 - self.wdir) # convert from meteo format (0deg North) to math system (0deg East) + # WDIR = self.wdir + # smallest angular difference in degrees + diff = abs(CDIR - WDIR) + diff = min_value(diff, + min_value(abs(180.0 - diff), + 360.0 - diff)) + phase_shift = diff * pi/180.0 + # the wave source file has weird wave direction pattern + # so not using it for now. -> perhaps specify as option for sediments? + # ustar_wc_norm = ustar_c**2 + ustar_w**2 + 2.*ustar_c*ustar_w * cos(phase_shift) + + ustar_wc_norm = ustar_c**2 + ustar_w**2 + ustar = sqrt(ustar_wc_norm) + else: + ustar = ustar_c - self.bed_stress = Function(self.P1_2d).interpolate(self.rhow*Constant(0.5)*self.qfc*self.unorm) + # 3. calculate shear velocity + self.ustar = ustar + self.bed_stress = Function(self.P1_2d).interpolate(self.rhow * self.ustar**2) if self.solve_suspended_sediment: # deposition flux - calculating coefficient to account for stronger conc at bed self.B = conditional(self.a > self.depth_tot, Constant(1.0), self.a/self.depth_tot) - ustar = sqrt(Constant(0.5)*self.qfc*self.unorm) - self.rouse_number = (self.settling_velocity/(kappa*ustar)) - Constant(1) + + self.rouse_number = (self.settling_velocity/(kappa*self.ustar)) - Constant(1) self.intermediate_step = conditional(abs(self.rouse_number) > Constant(1e-04), self.B*(Constant(1)-self.B**min_value(self.rouse_number, Constant(3)))/min_value(self.rouse_number, @@ -191,9 +248,9 @@ def __init__(self, options, mesh2d, uv, elev, depth): self.integrated_rouse = max_value(conditional(self.intermediate_step > Constant(1e-12), Constant(1)/self.intermediate_step, Constant(1e12)), Constant(1)) - # erosion flux - above critical velocity bed is eroded - self.transport_stage_param = conditional(self.rhow*Constant(0.5)*self.qfc*self.unorm*self.mu > Constant(0), - (self.rhow*Constant(0.5)*self.qfc*self.unorm*self.mu - self.taucr)/self.taucr, + # erosion flux - above critical velocity bed is eroded\ + self.transport_stage_param = conditional(self.rhow * self.ustar**2 * self.mu > Constant(0), + (self.rhow * self.ustar**2 * self.mu - self.taucr)/self.taucr, Constant(-1)) self.erosion_concentration = Function(self.P1DG_2d).project(Constant(0.015)*(self.average_size/self.a) @@ -202,7 +259,7 @@ def __init__(self, options, mesh2d, uv, elev, depth): if self.use_advective_velocity_correction: self.correction_factor_model = CorrectiveVelocityFactor(self.depth_tot, ksp, - self.settling_velocity, ustar, self.a) + self.settling_velocity, self.ustar, self.a) self.velocity_correction_factor = self.correction_factor_model.velocity_correction_factor self.equilibrium_tracer = Function(self.P1DG_2d).interpolate(self.erosion_concentration/self.integrated_rouse) @@ -212,12 +269,12 @@ def __init__(self, options, mesh2d, uv, elev, depth): if self.use_bedload: # calculate angle of flow - self.calfa = Function(self.P1_2d).interpolate(self.uv_cg[0]/sqrt(self.unorm)) + self.calfa = Function(self.P1_2d).interpolate(self.uv_cg[0]/sqrt(self.unorm)) #seime. consider waves dir and vel here self.salfa = Function(self.P1_2d).interpolate(self.uv_cg[1]/sqrt(self.unorm)) if self.use_angle_correction: # slope effect angle correction due to gravity - self.stress = Function(self.P1DG_2d).interpolate(self.rhow*Constant(0.5)*self.qfc*self.unorm) + self.stress = Function(self.P1DG_2d).interpolate(self.rhow * self.ustar**2) def get_bedload_term(self, bathymetry): """ @@ -255,7 +312,7 @@ def get_bedload_term(self, bathymetry): calfamod = (self.calfa + (tt1*bathymetry.dx(0)))/angle_norm salfamod = (self.salfa + (tt1*bathymetry.dx(1)))/angle_norm - if self.use_secondary_current: + if self.use_secondary_current: # seime. no waves effects here either # accounts for helical flow effect in a curver channel # use z_n1 and equals so can use an implicit method in Exner free_surface_dx = self.depth_tot.dx(0) - bathymetry.dx(0) @@ -285,7 +342,7 @@ def get_bedload_term(self, bathymetry): salfanew = t_2/t4 # implement meyer-peter-muller bedload transport formula - thetaprime = self.mu*(self.rhow*Constant(0.5)*self.qfc*self.unorm)/((self.rhos-self.rhow)*self.g*self.average_size) + thetaprime = self.mu*(self.rhow * self.ustar**2)/((self.rhos-self.rhow)*self.g*self.average_size) # if velocity above a certain critical value then transport occurs phi = conditional(thetaprime < self.thetacr, Constant(0), Constant(8)*(thetaprime-self.thetacr)**1.5) @@ -296,6 +353,10 @@ def get_bedload_term(self, bathymetry): else: qb_total = slopecoef*phi*sqrt(self.g*self.R*self.average_size**3) + if (self.use_vanRijn_2007_bedload): + tauprime = self.rhow * self.ustar**2 + qb_total = self.gamma * self.d_sand * self.dstar**(-0.3) * sqrt(tauprime/self.rhow) * ( (tauprime - self.taucr) / self.taucr )**self.eta + # formulate bedload transport flux with correct angle depending on corrections implemented if self.use_angle_correction and self.use_secondary_current is False: qbx = qb_total*calfamod diff --git a/thetis/shallowwater_eq.py b/thetis/shallowwater_eq.py index 0925ec083..5be8dd9ce 100644 --- a/thetis/shallowwater_eq.py +++ b/thetis/shallowwater_eq.py @@ -197,6 +197,8 @@ 'MomentumSourceTerm', 'WindStressTerm', 'AtmosphericPressureTerm', + 'GradRadStressTerm', + 'WaveRollerTerm', ] g_grav = physical_constants['g_grav'] @@ -649,6 +651,39 @@ def residual(self, uv, eta, uv_old, eta_old, fields, fields_old, bnd_conditions) return f +class GradRadStressTerm(ShallowWaterMomentumTerm): + r""" + Wind stress term, :math:`-\tau_w/(H \rho_0)` + + Here :math:`\tau_w` is a user-defined wind stress :class:`Function`. + """ + def residual(self, uv, eta, uv_old, eta_old, fields, fields_old, bnd_conditions=None): + grad_rad_stress = fields_old.get('rad_stress_2d') + P1_2d = get_functionspace(self.mesh, "CG", 1) + eta0 = Function(P1_2d).assign(Constant(0.)) + total_h = self.depth.get_total_depth(eta_old) + f = 0 + if grad_rad_stress is not None: + f += dot(grad_rad_stress, self.u_test)/total_h/rho_0*self.dx + return f + +class WaveRollerTerm(ShallowWaterMomentumTerm): + r""" + Wind stress term, :math:`-\tau_w/(H \rho_0)` + + Here :math:`\tau_w` is a user-defined wind stress :class:`Function`. + """ + def residual(self, uv, eta, uv_old, eta_old, fields, fields_old, bnd_conditions=None): + roller_stress = fields_old.get('roller_2d') + P1_2d = get_functionspace(self.mesh, "CG", 1) + eta0 = Function(P1_2d).assign(Constant(0.)) + total_h = self.depth.get_total_depth(eta_old) + f = 0 + if roller_stress is not None: + f += dot(roller_stress, self.u_test)/total_h/rho_0*self.dx + return f + + class AtmosphericPressureTerm(ShallowWaterMomentumTerm): r""" Atmospheric pressure term, :math:`\nabla (p_a / \rho_0)` @@ -878,6 +913,8 @@ def add_momentum_terms(self, *args, tidal_farms=None): self.add_term(MomentumSourceTerm(*args), 'source') if tidal_farms: self.add_term(TurbineDragTerm(*args, tidal_farms), 'implicit') + self.add_term(GradRadStressTerm(*args), 'source') + self.add_term(WaveRollerTerm(*args), 'source') def add_continuity_terms(self, *args): self.add_term(HUDivTerm(*args), 'implicit') diff --git a/thetis/solver2d.py b/thetis/solver2d.py index 017b4335c..4bcd20f92 100644 --- a/thetis/solver2d.py +++ b/thetis/solver2d.py @@ -405,7 +405,18 @@ def create_fields(self): use_nonlinear_equations=self.options.use_nonlinear_equations, use_wetting_and_drying=self.options.use_wetting_and_drying, wetting_and_drying_alpha=self.options.wetting_and_drying_alpha) - + self.fields.rad_stress_2d = Function(self.function_spaces.P1v_2d, + name='rad_stress_2d') + self.fields.roller_2d = Function(self.function_spaces.P1v_2d, + name='roller_2d') + + self.fields.wave_height_2d = Function(self.function_spaces.P1_2d,name='wave_height_2d') + self.fields.wave_peak_freq_2d = Function(self.function_spaces.P1_2d,name='wave_peak_freq_2d') + self.fields.wave_dir_2d = Function(self.function_spaces.P1_2d,name='wave_dir_2d') + self.fields.wave_orbital_vel_2d = Function(self.function_spaces.P1_2d,name='wave_orbital_vel_2d') + self.fields.wave_mean_period_2d = Function(self.function_spaces.P1_2d,name='wave_mean_period_2d') + + # Add fields for shallow water modelling self.fields.solution_2d = Function(self.function_spaces.V_2d, name='solution_2d') uv_2d, elev_2d = self.fields.solution_2d.subfunctions # correct treatment of the split 2d functions @@ -507,8 +518,16 @@ def create_equations(self): sediment_options = self.options.sediment_model_options if sediment_options.solve_suspended_sediment or sediment_options.solve_exner: sediment_model_class = self.options.sediment_model_options.sediment_model_class + #seime.passing new fields into sediment model object self.sediment_model = sediment_model_class( - self.options, self.mesh2d, uv_2d, elev_2d, self.depth) + self.options, self.mesh2d, uv_2d, elev_2d, self.depth, + self.fields.wave_orbital_vel_2d, + self.fields.wave_height_2d, + self.fields.wave_dir_2d, + self.fields.wave_peak_freq_2d, + self.fields.wave_mean_period_2d + ) + if sediment_options.solve_suspended_sediment: self.equations.sediment = sediment_eq_2d.SedimentEquation2D( self.function_spaces.Q_2d, self.depth, self.options, self.sediment_model, @@ -555,6 +574,14 @@ def get_swe_timestepper(self, integrator): 'atmospheric_pressure': self.options.atmospheric_pressure, 'momentum_source': self.options.momentum_source_2d, 'volume_source': self.options.volume_source_2d, + 'rad_stress_2d' : self.fields.rad_stress_2d, + "roller_2d" : self.fields.roller_2d, + "wave_height_2d": self.fields.wave_height_2d, + "wave_peak_freq_2d": self.fields.wave_peak_freq_2d, + "wave_dir_2d": self.fields.wave_dir_2d, + "wave_orbital_vel_2d": self.fields.wave_orbital_vel_2d, + "wave_mean_period_2d": self.fields.wave_mean_period_2d + } bnd_conditions = self.bnd_functions['shallow_water'] if self.options.swe_timestepper_type == 'PressureProjectionPicard': @@ -564,6 +591,7 @@ def get_swe_timestepper(self, integrator): self.depth, options=self.options, tidal_farms=self.tidal_farms + ) self.equations.mom.bnd_functions = bnd_conditions return integrator(self.equations.sw, self.equations.mom, self.fields.solution_2d, @@ -1103,3 +1131,142 @@ def create_iterator(self, update_forcings=None, export_func=None): export_func() return self.simulation_time + + + @PETSc.Log.EventDecorator("thetis.FlowSolver2d.iterate_coupled") + def iterate_coupled(self, update_forcings=None, + export_func=None): + """ + Runs the simulation + + Iterates over the time loop until time ``options.simulation_end_time`` is reached. + Exports fields to disk on ``options.simulation_export_time`` intervals. + + :kwarg update_forcings: User-defined function that takes simulation + time as an argument and updates time-dependent boundary conditions + (if any). + :kwarg export_func: User-defined function (with no arguments) that will + be called on every export. + """ + # if not self._initialized: + # self.initialize() + + self.options.use_limiter_for_tracers &= self.options.polynomial_degree > 0 + + t_epsilon = 1.0e-5 + cputimestamp = time_mod.perf_counter() + next_export_t = (self.simulation_time//self.options.simulation_export_time + 1) * self.options.simulation_export_time + + initial_simulation_time = self.simulation_time + internal_iteration = 0 + + while self.simulation_time <= self.options.simulation_end_time - t_epsilon: + self.timestepper.advance(self.simulation_time, update_forcings) + + # Move to next time step + self.iteration += 1 + internal_iteration += 1 + self.simulation_time = initial_simulation_time + internal_iteration * self.dt + + self.callbacks.evaluate(mode='timestep') + + # Write the solution to file + if self.simulation_time >= next_export_t - t_epsilon: + self.i_export += 1 + next_export_t += self.options.simulation_export_time + + cputime = time_mod.perf_counter() - cputimestamp + cputimestamp = time_mod.perf_counter() + self.print_state(cputime) + + self.export() + if export_func is not None: + export_func() + + + @PETSc.Log.EventDecorator("thetis.FlowSolver2d.t0_coupled") + def t0_coupled(self, + export_func=None): + """ + Runs the simulation + + Iterates over the time loop until time ``options.simulation_end_time`` is reached. + Exports fields to disk on ``options.simulation_export_time`` intervals. + + :kwarg update_forcings: User-defined function that takes simulation + time as an argument and updates time-dependent boundary conditions + (if any). + :kwarg export_func: User-defined function (with no arguments) that will + be called on every export. + """ + # TODO I think export function is obsolete as callbacks are in place + if not self._initialized: + self.initialize() + + self.options.use_limiter_for_tracers &= self.options.polynomial_degree > 0 + + t_epsilon = 1.0e-5 + cputimestamp = time_mod.perf_counter() + next_export_t = (self.simulation_time // self.options.simulation_export_time + 1) * self.options.simulation_export_time + + dump_hdf5 = self.options.export_diagnostics and not self.options.no_exports + if self.options.check_volume_conservation_2d: + c = callback.VolumeConservation2DCallback(self, + export_to_hdf5=dump_hdf5, + append_to_log=True) + self.add_callback(c) + + if self.options.check_tracer_conservation: + for label, tracer in self.options.tracer.items(): + if tracer.use_conservative_form: + c = callback.ConservativeTracerMassConservation2DCallback( + label, + self, + export_to_hdf5=dump_hdf5, + append_to_log=True) + else: + c = callback.TracerMassConservation2DCallback(label, + self, + export_to_hdf5=dump_hdf5, + append_to_log=True) + self.add_callback(c, eval_interval='export') + if self.options.sediment_model_options.check_sediment_conservation: + if self.options.sediment_model_options.use_sediment_conservative_form: + c = callback.ConservativeTracerMassConservation2DCallback( + 'sediment_2d', + self, + export_to_hdf5=dump_hdf5, + append_to_log=True) + else: + c = callback.TracerMassConservation2DCallback('sediment_2d', + self, + export_to_hdf5=dump_hdf5, + append_to_log=True) + self.add_callback(c, eval_interval='export') + + if self.options.check_tracer_overshoot: + for label in self.options.tracer: + c = callback.TracerOvershootCallBack(label, + self, + export_to_hdf5=dump_hdf5, + append_to_log=True) + self.add_callback(c, eval_interval='export') + if self.options.sediment_model_options.check_sediment_overshoot: + c = callback.TracerOvershootCallBack('sediment_2d', + self, + export_to_hdf5=dump_hdf5, + append_to_log=True) + self.add_callback(c, eval_interval='export') + + initial_simulation_time = self.simulation_time + internal_iteration = 0 + + # Initial export + self.print_state(0.0, print_header=True) + self.callbacks.evaluate(mode='timestep') + if self.export_initial_state: + self.export() + if export_func is not None: + export_func() + if 'vtk' in self.exporters and isinstance(self.fields.bathymetry_2d, Function): + self.exporters['vtk'].export_bathymetry(self.fields.bathymetry_2d) From 442df59dc548673b2631afe83fc9b15ece906ded Mon Sep 17 00:00:00 2001 From: seimurs Date: Mon, 4 Aug 2025 16:02:56 +0100 Subject: [PATCH 2/2] aligned with thetisproject and added a hard copy of an inlet.py instead of a soft linke. removed comments from unnecessary sediment_model.py --- examples/tidalInlet/inlet.py | 347 +++++++++++++++++++++++++++- examples/tidalInlet/plot_results.py | 0 thetis/coupled_timeintegrator_2d.py | 5 +- thetis/sediment_model.py | 8 +- 4 files changed, 349 insertions(+), 11 deletions(-) mode change 120000 => 100755 examples/tidalInlet/inlet.py mode change 100644 => 100755 examples/tidalInlet/plot_results.py diff --git a/examples/tidalInlet/inlet.py b/examples/tidalInlet/inlet.py deleted file mode 120000 index f7ddd95a6..000000000 --- a/examples/tidalInlet/inlet.py +++ /dev/null @@ -1 +0,0 @@ -/Users/sshirinov/Library/CloudStorage/OneDrive-AlmaMaterStudiorumUniversitàdiBologna/mac/cmcc/shyfem/cases/inlet/thetis/inlet.py \ No newline at end of file diff --git a/examples/tidalInlet/inlet.py b/examples/tidalInlet/inlet.py new file mode 100755 index 000000000..de25c0b35 --- /dev/null +++ b/examples/tidalInlet/inlet.py @@ -0,0 +1,346 @@ +""" +Tidal Inlet +======================= +Simulates the tidal inlet test case from Warner et al. (2008). + +author: Seimur Shirinov +date: June 2025 +""" + +from thetis import * + +import meshio +import numpy as np +from scipy.spatial import cKDTree +import os, sys +import xarray as xr + +# Setup zones +sim_tz = timezone.pytz.utc +coord_system = coordsys.UTMCoordinateSystem(utm_zone=30) + + +op2.init(log_level=INFO) + +# turn OFF reverse Cuthill-McKee reordering to optimize mesh inside Firedrake +# parameters["reorder_meshes"] = False + + +# FUNCTIONS: +def interpolate_at_dt(wavefield, time_array, dt_seconds): + """ + linearly interpolates wave fields to a time step given in seconds + + params: + - wavefield: np.ndarray of shape (n_times, n_nodes) + - time_array: xarray DataArray or np.ndarray of datetime64[ns], shape (n_times,) + - dt_seconds: float, seconds from the first time step (beginning of the simulation) + output: + - wavefield_interp: np.ndarray of shape (n_nodes,) representing interpolated values + """ + + # Convert datetime64[ns] to seconds since the first timestamp + time_seconds = (time_array - time_array[0]) / np.timedelta64(1, 's') + time_seconds = np.asarray(time_seconds) + + # Check if dt matches an existing time exactly + if dt_seconds in time_seconds: + idx = np.where(time_seconds == dt_seconds)[0][0] + return wavefield[idx] + + # otherwise find bounding indices for interpolation + if dt_seconds < time_seconds[0] or dt_seconds > time_seconds[-1]: + raise ValueError("dt is outside the time range of the dataset.") + + idx_before = np.searchsorted(time_seconds, dt_seconds) - 1 + idx_after = idx_before + 1 + + t0 = time_seconds[idx_before] + t1 = time_seconds[idx_after] + w = (dt_seconds - t0) / (t1 - t0) + + # interpolation + wavefield_interp = (1 - w) * wavefield[idx_before] + w * wavefield[idx_after] + return wavefield_interp + + +# MESH +# --------------------------------------------- +# bathymetry data (.msh format): +bathymetry_data='tidalInlet_bathymetry_data.msh' +# mesh with physical groups: +mesh2dfile='tidalinlet.msh' +mesh2d = Mesh(mesh2dfile) + +# define function spaces +# P1_2d = FunctionSpace(mesh2d, 'CG', 1) +P1_2d = FunctionSpace(mesh2d, 'CG', 1) +vectorP1_2d = VectorFunctionSpace(mesh2d, 'DG', 1) + + +# BATHYMETRY +# --------------------------------------------- +# define function space for bathymetry - wrapps P1_2d object +bathymetry_2d = Function(P1_2d, name='Bathymetry') +# bathymetric data at nodes from the mesh itself - added in pre-processing already +mesh = meshio.read(bathymetry_data) +# node coordinates +points = mesh.points # shape: (num_nodes, 3) + +# RE-ALIGN bathymetry with mesh +# --------------------------------------------- +# Given that the mesh verticies numbering gets shaffled by Mesh(), we need to re-align the bathymetry +# using kdtree find nearest neighbors from coords to points and thus re-align them: +tree = cKDTree(points[:, :2]) +distances, indices = tree.query(mesh2d.coordinates.dat.data, k=1) + +# final bathymetry +bathymetry_2d.dat.data[:] = points[indices, 2] + + + +# Wave Fields +# --------------------------------------------- +ww3waves = '/Users/sshirinov/mac/cmcc/shyfem/cases/inlet/tideinlet3/ww3waves.nc' +ds = xr.open_dataset(ww3waves) + +# Extract coordinates and variables +x_nc = ds['x'].values # shape: (node,) +y_nc = ds['y'].values +coords_nc = np.column_stack((x_nc, y_nc)) +sxx = ds['sxx'].values # shape: (time, node) +syy = ds['syy'].values +sxy = ds['sxy'].values +hs_w = ds['hs'].values +dir_w = ds['dir'].values +p_m = ds['t01'].values +f_p = ds['fp'].values +uubr = ds['uubr'].values +vubr = ds['vubr'].values + +mesh_rad = meshio.read(mesh2dfile) + +# Get mesh points and connectivity +points_mesh = mesh_rad.points[:, :2] # only x and y +cells = mesh_rad.cells_dict.get("triangle") +if cells is None: + raise ValueError("Expected triangular mesh cells") + +# match NetCDF nodes to mesh nodes +# using KDTree to find closest matching node +tree = cKDTree(coords_nc) +_, idx_match = tree.query(mesh2d.coordinates.dat.data, k=1) + +# reorder stress fields to match mesh node order +sxx_aligned = sxx[:, idx_match] +syy_aligned = syy[:, idx_match] +sxy_aligned = sxy[:, idx_match] +# similarly with other fields: +hs_w_aligned = hs_w [:,idx_match] +dir_w_aligned = dir_w[:,idx_match] +p_m_aligned = p_m [:,idx_match] +f_p_aligned = f_p [:,idx_match] +uubr_aligned = uubr [:,idx_match] +vubr_aligned = vubr [:,idx_match] +u_mag_aligned = np.sqrt(uubr_aligned**2 + vubr_aligned**2) + +# Create functions for radiation stresses and wave parameters: +rad_stress_2d = Function(vectorP1_2d, name='rad_stress_2d') +wave_height_2d = Function(P1_2d, name = 'wave_height_2d') +wave_peak_freq_2d = Function(P1_2d, name = 'wave_peak_freq_2d') +wave_dir_2d = Function(P1_2d, name = 'wave_dir_2d') +wave_orbital_vel_2d = Function(P1_2d, name = 'wave_orbital_vel_2d') +wave_mean_period_2d = Function(P1_2d, name = 'wave_mean_period_2d') + +# def update_wave_forcing(t_new,rad_stress_2d,P1_2d,vectorP1_2d,solver_obj): +def update_wave_forcing(t_new,P1_2d,solver_obj): + + # # Interpolate + solver_obj.fields.wave_height_2d.dat.data[:] = interpolate_at_dt(hs_w_aligned, ds.time, t_new) + solver_obj.fields.wave_peak_freq_2d.dat.data[:] = interpolate_at_dt(f_p_aligned, ds.time, t_new) + solver_obj.fields.wave_dir_2d.dat.data[:] = interpolate_at_dt(dir_w_aligned, ds.time, t_new) + solver_obj.fields.wave_orbital_vel_2d.dat.data[:] = interpolate_at_dt(u_mag_aligned, ds.time, t_new) + solver_obj.fields.wave_mean_period_2d.dat.data[:] = interpolate_at_dt(p_m_aligned, ds.time, t_new) + + sxx_int = Function(P1_2d, name="sxx_int") + sxy_int = Function(P1_2d, name="sxy_int") + syy_int = Function(P1_2d, name="syy_int") + + sxx_int.dat.data[:] = interpolate_at_dt(sxx_aligned, ds.time, t_new) + sxy_int.dat.data[:] = interpolate_at_dt(sxy_aligned, ds.time, t_new) + syy_int.dat.data[:] = interpolate_at_dt(syy_aligned, ds.time, t_new) + + sxx_dx = Function(P1_2d).interpolate(sxx_int.dx(0)) + syy_dy = Function(P1_2d).interpolate(syy_int.dx(1)) + sxy_dx = Function(P1_2d).interpolate(sxy_int.dx(0)) + sxy_dy = Function(P1_2d).interpolate(sxy_int.dx(1)) + + s_x = Function(P1_2d).interpolate(-sxx_dx - sxy_dy) + s_y = Function(P1_2d).interpolate(-syy_dy - sxy_dx) + + solver_obj.fields.rad_stress_2d.interpolate(as_vector([s_x, s_y])) + + # return rad_stress_2d + return + + +# TIMING +# --------------------------------------------- +# Simulation window: +timestep = 60. # -> time-stepping (if not adaptive) +t_end = 3600 * 49 # -> total run time in sec.: 2 days + 1h +# t_export = 3600.0 # -> export interval in sec. +t_export = 1800.0 # -> export interval in sec. + + +# set-up tides: +# tidal_amplitude = 0.1 +tidal_amplitude = 1.0 +tidal_period = 43200 # 12 hours + +# Copied from other test cases, perhaps not needed here +if os.getenv('THETIS_REGRESSION_TEST') is not None: + # when run as a pytest test, only run 5 timesteps + # and test the gradient + t_end = 5*timestep + test_gradient = True # test gradient using Taylor test (see below) + optimise = False # skip actual gradient based optimisation +else: + test_gradient = False + optimise = True + +print(t_end) + + +# Solver +# --------------------------------------------- +# outputdir = 'outputs_hydro' +outputdir = 'outputs_sed' + +temp_const = 18.0 +salt_ocean = 35.0 +viscosity_hydro = Constant(5*10**(-2)) +# average_size = 2 * 10**(-4) +average_size = 1 * 10**(-4) +ksp = Constant(3*average_size) + + +# # define solver object, passing a mesh and a bathymetry +solver_obj = solver2d.FlowSolver2d(mesh2d, bathymetry_2d) + +options = solver_obj.options +options.output_directory = outputdir +options.simulation_export_time = t_export +options.simulation_end_time = t_end +# options.cfl_2d = Constant(0.8) +options.swe_timestepper_type = 'CrankNicolson' # stable +# options.swe_timestepper_type = 'ForwardEuler' # -> unstable # BackwardEuler - stable +options.check_volume_conservation_2d = True +options.element_family = 'dg-dg' # the stable element family for this test case +# options.element_family = 'rt-dg' # worked too +options.swe_timestepper_options.implicitness_theta = 0.5 +options.swe_timestepper_options.use_semi_implicit_linearization = True +options.fields_to_export = ['uv_2d', 'elev_2d', 'bathymetry_2d','sediment_2d', + 'rad_stress_2d','wave_height_2d','wave_orbital_vel_2d', + 'wave_dir_2d'] # +options.timestep = timestep + + +# Chose only one of the following friction formulations: +# --------------------------------------------- +# # Manning drag coeff: +# manning_2d = Function(P1_2d, name="Manning coefficient") +# manning_2d.assign(5.0e-03) +# options.manning_drag_coefficient = manning_2d + +# # Linear drag coeff: +# options.linear_drag_coefficient = Constant(0.003) +# options.nikuradse_bed_roughness = Constant(ksp) + +# Using quadratic drag coefficient: +quadratic_drag = Function(P1_2d, name="Quadratic drag coefficient") +quadratic_drag.assign(2.5e-03) +options.quadratic_drag_coefficient = quadratic_drag + +# horiz viscosity: +options.horizontal_viscosity = Constant(0.002) +# Wave terms: +options.wave_curr_inter = True + + +# Sediments +# ------------- +# below two options activate wave forcing and the use of van Rijn intra-wave bedload transport formulation +options.sediment_model_options.van_Rijn_bedload = True +options.sediment_model_options.wave_forcing = True +options.sediment_model_options.solve_suspended_sediment = True +options.sediment_model_options.use_bedload = True +options.sediment_model_options.solve_exner = True +options.sediment_model_options.use_angle_correction = True +options.sediment_model_options.use_slope_mag_correction = True +options.sediment_model_options.use_secondary_current = True +# if solve_suspended_sediment is True then correction should be true and backwards +options.sediment_model_options.use_advective_velocity_correction = True # if false leads to Nonetype * Function -> error +options.sediment_model_options.morphological_viscosity = Constant(1e-6) +options.sediment_model_options.average_sediment_size = Constant(average_size) +options.sediment_model_options.bed_reference_height = Constant(0.03) +options.sediment_model_options.morphological_acceleration_factor = Constant(1.0) +options.sediment_model_options.horizontal_diffusivity = Constant(0.002) #< - just like in shyfem + + +# Tidal forcing +# --------------------------------------------- +# tidal_amplitude = 0.5 # meters +tidal_amplitude = 1.0 # meters !! as in the paper ! +tidal_period = 43200 # seconds (12 hours) +phase_seconds = 10800 # seconds +ramp_duration = phase_seconds +ramp_duration = 4 * 3600 # delay in tidal evolution time +# phase_radians = (2 * np.pi / tidal_period) * phase_seconds +phase_radians = (2 * pi / tidal_period) * phase_seconds +t = np.linspace(0, t_end, int(timestep)) # seconds +tidal_elev = Constant(0.0) + + +# Forcing fields at each time step +# --------------------------------------------- +def update_forcings(t_new,): + # print(f" updating forcing at t: {t_new}") + # no ramp-up: + # tidal_elev.assign(tidal_amplitude * sin((2 * pi / tidal_period) * (t_new + phase_seconds))) + # with ramp-up: + tidal_elev.assign(tanh(t_new / ramp_duration) * sin(2*pi/tidal_period * (t_new + phase_seconds)) * tidal_amplitude) + + # update wave forcing: + update_wave_forcing(t_new,P1_2d,solver_obj) + + +# Define the boundary conditions for the SWE +# --------------------------------------------- +# boundary condtitions are defined for each external boundary using their ID. +# Ids taken as physical groups from mesh - predefined +openboundary = 2 +coastline = 3 +domain_surf = 1 +swe_bnd = {} +ocean_salt = Constant(salt_ocean) +bnd_ocean_salt = {'value': ocean_salt} +solver_obj.bnd_functions['salt'] = {domain_surf: bnd_ocean_salt, coastline: bnd_ocean_salt, openboundary: bnd_ocean_salt} + + +freeslip_bc = {'un': Constant(0.0)} +swe_bnd[coastline] = freeslip_bc # this works-> imposes constant norm vel all along the coastline (free slip condition) +# swe_bnd[domain_surf] = freeslip_bc +# swe_bnd[openboundary] = freeslip_bc + +swe_bnd[openboundary] = {'flux': Constant(0.0), 'elev': tidal_elev} + +# BCs are now complete: +solver_obj.bnd_functions['shallow_water'] = swe_bnd + +elev_init = Function(P1_2d) +elev_init.assign(0.0) +solver_obj.assign_initial_conditions(elev=elev_init, uv=as_vector((1e-5, 0.0))) +solver_obj.iterate(update_forcings=update_forcings) + + diff --git a/examples/tidalInlet/plot_results.py b/examples/tidalInlet/plot_results.py old mode 100644 new mode 100755 diff --git a/thetis/coupled_timeintegrator_2d.py b/thetis/coupled_timeintegrator_2d.py index 518bde275..a5f10e0a0 100644 --- a/thetis/coupled_timeintegrator_2d.py +++ b/thetis/coupled_timeintegrator_2d.py @@ -199,11 +199,12 @@ def initialize(self, solution2d): self.timesteppers.swe2d.initialize(self.fields.solution_2d) if self.nh_options.update_free_surface: self.timesteppers.fs2d.initialize(self.fields.elev_2d) - self.elev_old.assign(self.fields.elev_2d) @PETSc.Log.EventDecorator("thetis.NonHydrostaticTimeIntegrator2D.advance") def advance(self, t, update_forcings=None): """Advances equations for one time step.""" + if self.nh_options.update_free_surface: + self.elev_old.assign(self.fields.elev_2d) if self.serial_advancing: # --- advance in serial --- self.timesteppers.swe2d.advance(t, update_forcings=update_forcings) @@ -213,7 +214,6 @@ def advance(self, t, update_forcings=None): if self.nh_options.update_free_surface: self.fields.elev_2d.assign(self.elev_old) self.timesteppers.fs2d.advance(t, update_forcings=update_forcings) - self.elev_old.assign(self.fields.elev_2d) # update old solution if self.options.swe_timestepper_type == 'SSPIMEX': self.timesteppers.swe2d.erk.solution_old.assign(self.fields.solution_2d) @@ -234,4 +234,3 @@ def advance(self, t, update_forcings=None): elif last_stage: self.fields.elev_2d.assign(self.elev_old) self.timesteppers.fs2d.advance(t, update_forcings=update_forcings) - self.elev_old.assign(self.fields.elev_2d) diff --git a/thetis/sediment_model.py b/thetis/sediment_model.py index f74838c5f..897a17d3e 100644 --- a/thetis/sediment_model.py +++ b/thetis/sediment_model.py @@ -1,6 +1,5 @@ from .utility import * from .log import warning -# from thetis import solver2d class CorrectiveVelocityFactor: @@ -137,8 +136,6 @@ def __init__(self, options, mesh2d, uv, elev, depth, ksp = Function(self.P1_2d).interpolate(3*self.average_size) - # seime.temp.TidalInlet set-up - # ksp = Function(self.P1_2d).interpolate(Constant(0.0015)) self.a = Function(self.P1_2d).interpolate(self.bed_reference_height/2) if self.options.sediment_model_options.morphological_viscosity is None: @@ -174,9 +171,6 @@ def __init__(self, options, mesh2d, uv, elev, depth, * (sqrt(1 + 0.01*((self.R*self.g*(self.average_size**3)) / (self.viscosity**2)))-1), 1.1*sqrt(self.g*self.average_size*self.R)))) - # # seime.TidalInlet fixed settling velocity: - # self.settling_velocity = Function(self.P1_2d).interpolate(Constant(0.011)) - # first step: project velocity to CG self.uv_cg = Function(self.P1v_2d).project(self.uv) self.old_bathymetry_2d = Function(self.P1_2d).interpolate(self.depth.bathymetry_2d) @@ -312,7 +306,7 @@ def get_bedload_term(self, bathymetry): calfamod = (self.calfa + (tt1*bathymetry.dx(0)))/angle_norm salfamod = (self.salfa + (tt1*bathymetry.dx(1)))/angle_norm - if self.use_secondary_current: # seime. no waves effects here either + if self.use_secondary_current: # accounts for helical flow effect in a curver channel # use z_n1 and equals so can use an implicit method in Exner free_surface_dx = self.depth_tot.dx(0) - bathymetry.dx(0)