From 5a58d3e125c53e2335f60c6045f3247dc911c497 Mon Sep 17 00:00:00 2001 From: Steven Brus Date: Wed, 14 Dec 2022 16:39:13 -0600 Subject: [PATCH 1/9] Add parabolic bowl test case --- compass/ocean/__init__.py | 2 + .../ocean/tests/parabolic_bowl/__init__.py | 20 ++ .../tests/parabolic_bowl/default/__init__.py | 61 +++++ compass/ocean/tests/parabolic_bowl/forward.py | 98 ++++++++ .../tests/parabolic_bowl/initial_state.py | 92 +++++++ .../parabolic_bowl/namelist.10km.forward | 1 + .../parabolic_bowl/namelist.20km.forward | 1 + .../tests/parabolic_bowl/namelist.5km.forward | 1 + .../tests/parabolic_bowl/namelist.forward | 13 + .../ocean/tests/parabolic_bowl/namelist.init | 6 + .../parabolic_bowl/namelist.ramp.forward | 3 + .../namelist.single_layer.forward | 7 + .../tests/parabolic_bowl/parabolic_bowl.cfg | 54 ++++ .../tests/parabolic_bowl/streams.forward | 34 +++ .../ocean/tests/parabolic_bowl/streams.init | 32 +++ .../tests/parabolic_bowl/viz/__init__.py | 237 ++++++++++++++++++ 16 files changed, 662 insertions(+) create mode 100644 compass/ocean/tests/parabolic_bowl/__init__.py create mode 100644 compass/ocean/tests/parabolic_bowl/default/__init__.py create mode 100644 compass/ocean/tests/parabolic_bowl/forward.py create mode 100644 compass/ocean/tests/parabolic_bowl/initial_state.py create mode 100644 compass/ocean/tests/parabolic_bowl/namelist.10km.forward create mode 100644 compass/ocean/tests/parabolic_bowl/namelist.20km.forward create mode 100644 compass/ocean/tests/parabolic_bowl/namelist.5km.forward create mode 100644 compass/ocean/tests/parabolic_bowl/namelist.forward create mode 100644 compass/ocean/tests/parabolic_bowl/namelist.init create mode 100644 compass/ocean/tests/parabolic_bowl/namelist.ramp.forward create mode 100644 compass/ocean/tests/parabolic_bowl/namelist.single_layer.forward create mode 100644 compass/ocean/tests/parabolic_bowl/parabolic_bowl.cfg create mode 100644 compass/ocean/tests/parabolic_bowl/streams.forward create mode 100644 compass/ocean/tests/parabolic_bowl/streams.init create mode 100644 compass/ocean/tests/parabolic_bowl/viz/__init__.py diff --git a/compass/ocean/__init__.py b/compass/ocean/__init__.py index f9961ae451..50db9dd1a3 100644 --- a/compass/ocean/__init__.py +++ b/compass/ocean/__init__.py @@ -13,6 +13,7 @@ from compass.ocean.tests.merry_go_round import MerryGoRound from compass.ocean.tests.nonhydro import Nonhydro from compass.ocean.tests.overflow import Overflow +from compass.ocean.tests.parabolic_bowl import ParabolicBowl from compass.ocean.tests.planar_convergence import PlanarConvergence from compass.ocean.tests.soma import Soma from compass.ocean.tests.sphere_transport import SphereTransport @@ -50,6 +51,7 @@ def __init__(self): self.add_test_group(Nonhydro(mpas_core=self)) self.add_test_group(Overflow(mpas_core=self)) self.add_test_group(PlanarConvergence(mpas_core=self)) + self.add_test_group(ParabolicBowl(mpas_core=self)) self.add_test_group(Soma(mpas_core=self)) self.add_test_group(SphereTransport(mpas_core=self)) self.add_test_group(SphericalHarmonicTransform(mpas_core=self)) diff --git a/compass/ocean/tests/parabolic_bowl/__init__.py b/compass/ocean/tests/parabolic_bowl/__init__.py new file mode 100644 index 0000000000..167b3842bb --- /dev/null +++ b/compass/ocean/tests/parabolic_bowl/__init__.py @@ -0,0 +1,20 @@ +from compass.ocean.tests.parabolic_bowl.default import Default +from compass.testgroup import TestGroup + + +class ParabolicBowl(TestGroup): + """ + A test group for parabolic bowl (wetting-and-drying) test cases + """ + + def __init__(self, mpas_core): + """ + mpas_core : compass.MpasCore + the MPAS core that this test group belongs to + """ + super().__init__(mpas_core=mpas_core, name='parabolic_bowl') + for wetdry in ['standard']: # , 'subgrid']: + for ramp_type in ['ramp', 'noramp']: + self.add_test_case( + Default(test_group=self, ramp_type=ramp_type, + wetdry=wetdry)) diff --git a/compass/ocean/tests/parabolic_bowl/default/__init__.py b/compass/ocean/tests/parabolic_bowl/default/__init__.py new file mode 100644 index 0000000000..d59c1421c8 --- /dev/null +++ b/compass/ocean/tests/parabolic_bowl/default/__init__.py @@ -0,0 +1,61 @@ +from compass.ocean.tests.parabolic_bowl.forward import Forward +from compass.ocean.tests.parabolic_bowl.initial_state import InitialState +from compass.ocean.tests.parabolic_bowl.viz import Viz +from compass.testcase import TestCase +from compass.validate import compare_variables + + +class Default(TestCase): + """ + The default parabolic_bowl test case + + Attributes + ---------- + ramp_type : str + The type of vertical coordinate (``ramp``, ``noramp``, etc.) + """ + + def __init__(self, test_group, ramp_type, wetdry): + """ + Create the test case + + Parameters + ---------- + test_group : compass.ocean.tests.parabolic_bowl.ParabolicBowl + The test group that this test case belongs to + + ramp_type : str + The type of vertical coordinate (``ramp``, ``noramp``) + + wetdry : str + The type of wetting and drying used (``standard``, ``subgrid``) + """ + name = f'{wetdry}_{ramp_type}' + + subdir = f'{wetdry}/{ramp_type}' + super().__init__(test_group=test_group, name=name, + subdir=subdir) + + resolutions = [5, 10, 20] + for resolution in resolutions: + + res_name = f'{resolution}km' + + self.add_step(InitialState(test_case=self, + name=f'initial_state_{res_name}', + resolution=resolution, + wetdry=wetdry)) + self.add_step(Forward(test_case=self, + name=f'forward_{res_name}', + resolution=resolution, + ramp_type=ramp_type, + wetdry=wetdry)) + self.add_step(Viz(test_case=self, resolutions=resolutions)) + +# def validate(self): +# """ +# Validate variables against a baseline +# """ +# variables = ['layerThickness', 'normalVelocity'] +# compare_variables(test_case=self, variables=variables, +# filename1='forward/output.nc') diff --git a/compass/ocean/tests/parabolic_bowl/forward.py b/compass/ocean/tests/parabolic_bowl/forward.py new file mode 100644 index 0000000000..ab959bcc8e --- /dev/null +++ b/compass/ocean/tests/parabolic_bowl/forward.py @@ -0,0 +1,98 @@ +from compass.model import run_model +from compass.step import Step + + +class Forward(Step): + """ + A step for performing forward MPAS-Ocean runs as part of parabolic bowl + test cases. + """ + def __init__(self, test_case, resolution, name, + ramp_type='ramp', coord_type='single_layer', + wetdry='standard'): + """ + Create a new test case + + Parameters + ---------- + test_case : compass.TestCase + The test case this step belongs to + + resolution : float + The resolution of the test case + + name : str + the name of the test case + + subdir : str, optional + the subdirectory for the step. The default is ``name`` + + coord_type : str, optional + vertical coordinate configuration + + ramp_type : str, optional + vertical coordinate configuration + """ + + self.resolution = resolution + + super().__init__(test_case=test_case, name=name) + + self.add_namelist_file('compass.ocean.tests.parabolic_bowl', + 'namelist.forward') + + res_name = f'{resolution}km' + self.add_namelist_file('compass.ocean.tests.parabolic_bowl', + f'namelist.{res_name}.forward') + self.add_namelist_file('compass.ocean.tests.parabolic_bowl', + f'namelist.{coord_type}.forward') + + if ramp_type == 'ramp': + self.add_namelist_file('compass.ocean.tests.parabolic_bowl', + 'namelist.ramp.forward') + + self.add_streams_file('compass.ocean.tests.parabolic_bowl', + 'streams.forward') + + input_path = f'../initial_state_{res_name}' + self.add_input_file(filename='mesh.nc', + target=f'{input_path}/culled_mesh.nc') + + self.add_input_file(filename='init.nc', + target=f'{input_path}/ocean.nc') + + self.add_input_file(filename='graph.info', + target=f'{input_path}/culled_graph.info') + + self.add_model_as_input() + + self.add_output_file(filename='output.nc') + + def setup(self): + """ + Set up the test case in the work directory, including downloading any + dependencies + """ + self._get_resources() + + def constrain_resources(self, available_cores): + """ + Update resources at runtime from config options + """ + self._get_resources() + super().constrain_resources(available_cores) + + def run(self): + """ + Run this step of the testcase + """ + run_model(self) + + def _get_resources(self): + # get the these properties from the config options + config = self.config + self.ntasks = config.getint('parabolic_bowl', + f'{self.resolution}km_ntasks') + self.min_tasks = config.getint('parabolic_bowl', + f'{self.resolution}km_min_tasks') + self.openmp_threads = 1 diff --git a/compass/ocean/tests/parabolic_bowl/initial_state.py b/compass/ocean/tests/parabolic_bowl/initial_state.py new file mode 100644 index 0000000000..a182a824ec --- /dev/null +++ b/compass/ocean/tests/parabolic_bowl/initial_state.py @@ -0,0 +1,92 @@ +from mpas_tools.io import write_netcdf +from mpas_tools.mesh.conversion import convert, cull +from mpas_tools.planar_hex import make_planar_hex_mesh + +from compass.model import run_model +from compass.step import Step + + +class InitialState(Step): + """ + A step for creating a mesh and initial condition for drying slope test + cases + """ + def __init__(self, test_case, name, resolution, + coord_type='single_layer', wetdry='standard'): + """ + Create the step + + Parameters + ---------- + test_case : compass.ocean.tests.parabolic_bowl.default.Default + The test case this step belongs to + """ + self.coord_type = coord_type + self.resolution = resolution + + super().__init__(test_case=test_case, name=name, ntasks=1, + min_tasks=1, openmp_threads=1) + + self.add_namelist_file('compass.ocean.tests.parabolic_bowl', + 'namelist.init', mode='init') + + self.add_streams_file('compass.ocean.tests.parabolic_bowl', + 'streams.init', mode='init') + + for file in ['base_mesh.nc', 'culled_mesh.nc', 'culled_graph.info', + 'ocean.nc']: + self.add_output_file(file) + + self.add_model_as_input() + + def run(self): + """ + Run this step of the test case + """ + config = self.config + logger = self.logger + + # Set vertical levels + coord_type = self.coord_type + if coord_type == 'single_layer': + options = {'config_parabolic_bowl_vert_levels': '1'} + else: + vert_levels = config.getint('vertical_grid', 'vert_levels') + options = {'config_parabolic_bowl_vert_levels': f'{vert_levels}'} + self.update_namelist_at_runtime(options) + + # Set test case parameters + eta_max = config.get('parabolic_bowl', 'eta_max') + depth_max = config.get('parabolic_bowl', 'depth_max') + coriolis = config.get('parabolic_bowl', 'coriolis_parameter') + omega = config.get('parabolic_bowl', 'omega') + gravity = config.get('parabolic_bowl', 'gravity') + options = {'config_parabolic_bowl_Coriolis_parameter': coriolis, + 'config_parabolic_bowl_eta0': eta_max, + 'config_parabolic_bowl_b0': depth_max, + 'config_parabolic_bowl_omega': omega, + 'config_parabolic_bowl_gravity': gravity} + self.update_namelist_at_runtime(options) + + # Determine mesh parameters + Lx = config.getint('parabolic_bowl', 'Lx') + Ly = config.getint('parabolic_bowl', 'Ly') + nx = round(Lx / self.resolution) + ny = round(Ly / self.resolution) + dc = 1e3 * self.resolution + + logger.info(' * Make planar hex mesh') + dsMesh = make_planar_hex_mesh(nx=nx, ny=ny, dc=dc, nonperiodic_x=True, + nonperiodic_y=True) + logger.info(' * Completed Make planar hex mesh') + write_netcdf(dsMesh, 'base_mesh.nc') + + logger.info(' * Cull mesh') + dsMesh = cull(dsMesh, logger=logger) + logger.info(' * Convert mesh') + dsMesh = convert(dsMesh, graphInfoFileName='culled_graph.info', + logger=logger) + logger.info(' * Completed Convert mesh') + write_netcdf(dsMesh, 'culled_mesh.nc') + run_model(self, namelist='namelist.ocean', + streams='streams.ocean') diff --git a/compass/ocean/tests/parabolic_bowl/namelist.10km.forward b/compass/ocean/tests/parabolic_bowl/namelist.10km.forward new file mode 100644 index 0000000000..05af815f7e --- /dev/null +++ b/compass/ocean/tests/parabolic_bowl/namelist.10km.forward @@ -0,0 +1 @@ +config_dt='0000_00:00:05' diff --git a/compass/ocean/tests/parabolic_bowl/namelist.20km.forward b/compass/ocean/tests/parabolic_bowl/namelist.20km.forward new file mode 100644 index 0000000000..6594d67a91 --- /dev/null +++ b/compass/ocean/tests/parabolic_bowl/namelist.20km.forward @@ -0,0 +1 @@ +config_dt='0000_00:00:10' diff --git a/compass/ocean/tests/parabolic_bowl/namelist.5km.forward b/compass/ocean/tests/parabolic_bowl/namelist.5km.forward new file mode 100644 index 0000000000..b6cb4195f9 --- /dev/null +++ b/compass/ocean/tests/parabolic_bowl/namelist.5km.forward @@ -0,0 +1 @@ +config_dt='0000_00:00:02.5' diff --git a/compass/ocean/tests/parabolic_bowl/namelist.forward b/compass/ocean/tests/parabolic_bowl/namelist.forward new file mode 100644 index 0000000000..775128e4ac --- /dev/null +++ b/compass/ocean/tests/parabolic_bowl/namelist.forward @@ -0,0 +1,13 @@ +config_run_duration='0003_00:00:00' +config_time_integrator='RK4' +config_vert_coord_movement='impermeable_interfaces' +config_ALE_thickness_proportionality='weights_only' +config_use_wetting_drying=.true. +config_prevent_drying=.true. +config_drying_min_cell_height=2.0e-2 +config_zero_drying_velocity=.true. +config_verify_not_dry=.true. +config_thickness_flux_type='upwind' +config_use_cvmix=.false. +config_use_implicit_bottom_drag=.false. +config_check_ssh_consistency=.true. diff --git a/compass/ocean/tests/parabolic_bowl/namelist.init b/compass/ocean/tests/parabolic_bowl/namelist.init new file mode 100644 index 0000000000..d755143e04 --- /dev/null +++ b/compass/ocean/tests/parabolic_bowl/namelist.init @@ -0,0 +1,6 @@ +config_init_configuration = 'parabolic_bowl' +config_ocean_run_mode = 'init' +config_use_wetting_drying = .true. +config_drying_min_cell_height = 2e-2 +config_write_cull_cell_mask = .false. +config_parabolic_bowl_vert_levels = 1 diff --git a/compass/ocean/tests/parabolic_bowl/namelist.ramp.forward b/compass/ocean/tests/parabolic_bowl/namelist.ramp.forward new file mode 100644 index 0000000000..83673b1213 --- /dev/null +++ b/compass/ocean/tests/parabolic_bowl/namelist.ramp.forward @@ -0,0 +1,3 @@ +config_zero_drying_velocity_ramp = .true. +config_zero_drying_velocity_ramp_hmin = 2e-2 +config_zero_drying_velocity_ramp_hmax = 4e-2 diff --git a/compass/ocean/tests/parabolic_bowl/namelist.single_layer.forward b/compass/ocean/tests/parabolic_bowl/namelist.single_layer.forward new file mode 100644 index 0000000000..7378b7eee7 --- /dev/null +++ b/compass/ocean/tests/parabolic_bowl/namelist.single_layer.forward @@ -0,0 +1,7 @@ +config_disable_thick_vadv = .true. +config_disable_thick_sflux = .true. +config_disable_vel_vmix = .true. +config_disable_vel_vadv = .true. +config_disable_tr_all_tend = .true. +config_disable_vel_hmix = .true. +config_pressure_gradient_type = 'ssh_gradient' diff --git a/compass/ocean/tests/parabolic_bowl/parabolic_bowl.cfg b/compass/ocean/tests/parabolic_bowl/parabolic_bowl.cfg new file mode 100644 index 0000000000..026a2b1a78 --- /dev/null +++ b/compass/ocean/tests/parabolic_bowl/parabolic_bowl.cfg @@ -0,0 +1,54 @@ +[job] + +wall_time = 2:00:00 + + +# config options for drying slope test cases +[parabolic_bowl] + +# dimensions of domain in x and y directions (km) +Lx = 1440 +Ly = 1560 + +# Coriolis parameter +coriolis_parameter = 1.031e-4 + +# Maximum initial ssh magnitude +eta_max = 2.0 + +# Maximum water depth +depth_max = 50.0 + +# Angular fequency of oscillation +omega = 1.4544e-4 + +# Gravitational acceleration +gravity = 9.81 + +# Number of tasks for resolutions +20km_ntasks = 72 +20km_min_tasks = 4 + +10km_ntasks = 72 +10km_min_tasks = 4 + +5km_ntasks = 128 +5km_min_tasks = 4 + +# config options for visualizing drying slope ouptut +[parabolic_bowl_viz] + +# coordinates (in km) for timeseries plot +points = [0,0], [300,0], [610,0] + +# additional directories to add to convergence plot +error_compare = [] + +## whether to generate movie +#generate_movie = False +# +## frames per second for movies +#frames_per_second = 30 +# +## movie format +#movie_format = mp4 diff --git a/compass/ocean/tests/parabolic_bowl/streams.forward b/compass/ocean/tests/parabolic_bowl/streams.forward new file mode 100644 index 0000000000..a412ee4c9f --- /dev/null +++ b/compass/ocean/tests/parabolic_bowl/streams.forward @@ -0,0 +1,34 @@ + + + + + + + + + + + + + + + + + + + + + diff --git a/compass/ocean/tests/parabolic_bowl/streams.init b/compass/ocean/tests/parabolic_bowl/streams.init new file mode 100644 index 0000000000..1efd479999 --- /dev/null +++ b/compass/ocean/tests/parabolic_bowl/streams.init @@ -0,0 +1,32 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/compass/ocean/tests/parabolic_bowl/viz/__init__.py b/compass/ocean/tests/parabolic_bowl/viz/__init__.py new file mode 100644 index 0000000000..e630ae7d18 --- /dev/null +++ b/compass/ocean/tests/parabolic_bowl/viz/__init__.py @@ -0,0 +1,237 @@ +import datetime as dt +import os +import subprocess + +import matplotlib.pyplot as plt +import numpy as np +import xarray as xr +from scipy.interpolate import LinearNDInterpolator + +from compass.step import Step + + +class Viz(Step): + """ + A step for visualizing parabolic bowl results and + comparing with analytical solution + + Attributes + ---------- + """ + def __init__(self, test_case, resolutions): + """ + Create the step + + Parameters + ---------- + test_case : compass.TestCase + The test case this step belongs to + """ + super().__init__(test_case=test_case, name='viz') + + self.resolutions = resolutions + + for res in resolutions: + self.add_input_file(filename=f'output_{res}km.nc', + target=f'../forward_{res}km/output.nc') + + def run(self): + """ + Run this step of the test case + """ + + # Pointwise timeseries plots + points = self.config.get('parabolic_bowl_viz', 'points') + points = points.replace('[', '').replace(']', '').split(',') + points = np.asarray(points, dtype=float).reshape(-1, 2) + points = points * 1000 + + fig, ax = plt.subplots(nrows=len(points), ncols=1) + + for res in self.resolutions: + ds = xr.open_dataset(f'output_{res}km.nc') + + time = [dt.datetime.strptime(x.decode(), '%Y-%m-%d_%H:%M:%S') + for x in ds.xtime.values] + t = np.asarray([(x - time[0]).total_seconds() for x in time]) + + xy = np.vstack((ds.xCell.values, ds.yCell.values)).T + interp = LinearNDInterpolator(xy, ds.ssh.values.T) + + for i, pt in enumerate(points): + + ssh = interp(pt).T + ax[i].plot(t / 86400, ssh, label=f'{res}km') + + for i, pt in enumerate(points): + ssh_exact = self.exact_solution('zeta', pt[0], pt[1], t) + ax[i].plot(t / 86400, ssh_exact, label='exact') + + for i, pt in enumerate(points): + ax[i].set_xlabel('t (days)') + ax[i].set_ylabel('ssh (m)') + ax[i].set_title(f'Point ({pt[0]/1000}, {pt[1]/1000})') + if i == len(points) - 1: + lines, labels = ax[i].get_legend_handles_labels() + + fig.tight_layout() + fig.legend(lines, labels, + loc='lower center', ncol=4, + bbox_to_anchor=(0.5, -0.2)) + fig.savefig('points.png') + + # Inject exact solution + for res in self.resolutions: + ds = xr.open_dataset(f'output_{res}km.nc') + + if 'ssh_exact' and 'layerThickness_exact' not in ds: + time = [dt.datetime.strptime(x.decode(), '%Y-%m-%d_%H:%M:%S') + for x in ds.xtime.values] + ssh_exact = ds.ssh.copy(deep=True) + layerThickness_exact = ds.layerThickness.copy(deep=True) + for i, tstep in enumerate(time): + t = (time[i] - time[0]).total_seconds() + + ssh_exact[i, :] = self.exact_solution( + 'zeta', ds.xCell.values, ds.yCell.values, t) + layerThickness_exact[i, :, 0] = self.exact_solution( + 'h', ds.xCell.values, ds.yCell.values, t) + ds['ssh_exact'] = ssh_exact + ds['layerThickness_exact'] = layerThickness_exact + ds.ssh_exact.encoding['_FillValue'] = None + ds.layerThickness_exact.encoding['_FillValue'] = None + ds.to_netcdf(f'output_{res}km.nc', + format="NETCDF3_64BIT_OFFSET", mode='a') + ds.close() + + # RMSE plots + comparisons = [] + cases = {'standard_ramp': '../../../standard/ramp/viz', + 'standard_noramp': '../../../standard/noramp/viz'} + for case in cases: + include = True + for res in self.resolutions: + print(f'{cases[case]}/output_{res}km.nc') + print(os.path.exists(f'{cases[case]}/output_{res}km.nc')) + if not os.path.exists(f'{cases[case]}/output_{res}km.nc'): + include = False + if include: + comparisons.append(case) + + fig, ax = plt.subplots(nrows=1, ncols=1) + + max_rmse = 0 + for j, comp in enumerate(comparisons): + rmse = np.zeros(len(self.resolutions)) + for i, res in enumerate(self.resolutions): + + # rmse[i] = self.compute_rmse( + # 'zeta', + # f'{cases[comp]}/output_{res}km.nc') + rmse[i] = self.compute_rmse( + 'h', + f'{cases[comp]}/output_{res}km.nc') + + if rmse[i] > max_rmse: + max_rmse = rmse[i] + + ax.loglog(self.resolutions, rmse, + linestyle='-', marker='o', label=comp) + + rmse_1st_order = np.zeros(len(self.resolutions)) + rmse_1st_order[0] = max_rmse + for i in range(len(self.resolutions) - 1): + rmse_1st_order[i + 1] = rmse_1st_order[i] / 2.0 + + ax.loglog(self.resolutions, np.flip(rmse_1st_order), + linestyle='-', color='k', alpha=.25, label='1st order') + + ax.set_xlabel('Cell size (km)') + ax.set_ylabel('RMSE (m)') + + ax.legend(loc='lower right') + fig.tight_layout() + fig.savefig('error.png') + + def compute_rmse(self, varname, filename): + + ds = xr.open_dataset(filename) + + time = [dt.datetime.strptime(x.decode(), '%Y-%m-%d_%H:%M:%S') + for x in ds.xtime.values] + ind = time.index(dt.datetime.strptime('0001-01-03_18:00:00', + '%Y-%m-%d_%H:%M:%S')) + if varname == 'zeta': + var = ds['ssh'].values[ind, :] + elif varname == 'h': + var = ds['layerThickness'].values[ind, :, 0] + + t = (time[ind] - time[0]).total_seconds() + var_exact = self.exact_solution(varname, ds.xCell.values, + ds.yCell.values, t) + rmse = np.sqrt(np.mean(np.square(var - var_exact))) + + return rmse + + def exact_solution(self, var, x, y, t): + + config = self.config + + f = config.getfloat('parabolic_bowl', 'coriolis_parameter') + eta0 = config.getfloat('parabolic_bowl', 'eta_max') + b0 = config.getfloat('parabolic_bowl', 'depth_max') + omega = config.getfloat('parabolic_bowl', 'omega') + g = config.getfloat('parabolic_bowl', 'gravity') + + x = np.array(x) + y = np.array(y) + t = np.array(t) + + x = np.atleast_1d(x) + y = np.atleast_1d(y) + t = np.atleast_1d(t) + + if t.size > 1: + x = np.resize(x, t.shape) + y = np.resize(y, t.shape) + + eps = 1.0e-12 + r = np.sqrt(np.square(x) + np.square(y)) + L = np.sqrt(8.0 * g * b0 / (omega**2 - f**2)) + C = ((b0 + eta0)**2 - b0**2) / ((b0 + eta0)**2 + b0**2) + b = b0 * (1.0 - r**2 / L**2) + num = 1.0 - C**2 + den = 1.0 / (1.0 - C * np.cos(omega * t)) + h = b0 * (den * np.sqrt(num) - den**2 * (r**2 / L**2) * num) + h[h < eps] = 0.0 + + if var == 'h': + soln = h + + elif var == 'zeta': + soln = b0 * (den * np.sqrt(num) - 1.0 - + (r**2 / L**2) * (den**2 * num - 1.0)) + soln[h < eps] = -b[h < eps] + + elif var == 'u': + soln = 0.5 * den * (omega * x * C * np.sin(omega * t) - + f * y * (np.sqrt(num) + + C * np.cos(omega * t) - 1.0)) + soln[h < eps] = 0 + + elif var == 'v': + soln = 0.5 * den * (omega * y * C * np.sin(omega * t) + + f * x * (np.sqrt(num) + + C * np.cos(omega * t) - 1.0)) + soln[h < eps] = 0 + + elif var == 'r': + soln = L * np.sqrt((1.0 - C * np.cos(omega * t)) / + np.sqrt(1.0 - C**2)) + + else: + print('Variable name not supported') + + print(var) + print(soln.shape) + return soln From f0f634ef2ea55288571cc56b8a0c014a6fe5cf8d Mon Sep 17 00:00:00 2001 From: Steven Brus Date: Tue, 15 Aug 2023 14:43:28 -0700 Subject: [PATCH 2/9] Fix legend in viz --- compass/ocean/tests/parabolic_bowl/viz/__init__.py | 8 ++------ 1 file changed, 2 insertions(+), 6 deletions(-) diff --git a/compass/ocean/tests/parabolic_bowl/viz/__init__.py b/compass/ocean/tests/parabolic_bowl/viz/__init__.py index e630ae7d18..6be93749bd 100644 --- a/compass/ocean/tests/parabolic_bowl/viz/__init__.py +++ b/compass/ocean/tests/parabolic_bowl/viz/__init__.py @@ -75,9 +75,9 @@ def run(self): lines, labels = ax[i].get_legend_handles_labels() fig.tight_layout() + fig.subplots_adjust(bottom=0.2) fig.legend(lines, labels, - loc='lower center', ncol=4, - bbox_to_anchor=(0.5, -0.2)) + loc='lower center', ncol=4) fig.savefig('points.png') # Inject exact solution @@ -111,8 +111,6 @@ def run(self): for case in cases: include = True for res in self.resolutions: - print(f'{cases[case]}/output_{res}km.nc') - print(os.path.exists(f'{cases[case]}/output_{res}km.nc')) if not os.path.exists(f'{cases[case]}/output_{res}km.nc'): include = False if include: @@ -232,6 +230,4 @@ def exact_solution(self, var, x, y, t): else: print('Variable name not supported') - print(var) - print(soln.shape) return soln From baf9ee652e8b70f3439ed5f8a40fd3033e13f476 Mon Sep 17 00:00:00 2001 From: Steven Brus Date: Fri, 18 Aug 2023 08:49:19 -0700 Subject: [PATCH 3/9] Address review comments --- .../tests/parabolic_bowl/default/__init__.py | 109 ++++++++++++++++-- compass/ocean/tests/parabolic_bowl/forward.py | 33 +++++- .../tests/parabolic_bowl/parabolic_bowl.cfg | 30 ++--- 3 files changed, 136 insertions(+), 36 deletions(-) diff --git a/compass/ocean/tests/parabolic_bowl/default/__init__.py b/compass/ocean/tests/parabolic_bowl/default/__init__.py index d59c1421c8..fe130ef087 100644 --- a/compass/ocean/tests/parabolic_bowl/default/__init__.py +++ b/compass/ocean/tests/parabolic_bowl/default/__init__.py @@ -1,3 +1,6 @@ +import numpy as np + +from compass.config import CompassConfigParser from compass.ocean.tests.parabolic_bowl.forward import Forward from compass.ocean.tests.parabolic_bowl.initial_state import InitialState from compass.ocean.tests.parabolic_bowl.viz import Viz @@ -36,26 +39,108 @@ def __init__(self, test_group, ramp_type, wetdry): super().__init__(test_group=test_group, name=name, subdir=subdir) - resolutions = [5, 10, 20] - for resolution in resolutions: + self.resolutions = None + self.wetdry = wetdry + self.ramp_type = ramp_type + + # add the steps with default resolutions so they can be listed + config = CompassConfigParser() + config.add_from_package('compass.ocean.tests.parabolic_bowl', + 'parabolic_bowl.cfg') + self._setup_steps(config) + + def configure(self): + """ + Set config options for the test case + """ + config = self.config + # set up the steps again in case a user has provided new resolutions + self._setup_steps(config) + + self.update_cores() + + def update_cores(self): + """ Update the number of cores and min_tasks for each forward step """ + + config = self.config + + goal_cells_per_core = config.getfloat('parabolic_bowl', + 'goal_cells_per_core') + max_cells_per_core = config.getfloat('parabolic_bowl', + 'max_cells_per_core') + + for resolution in self.resolutions: + + lx = config.getfloat('parabolic_bowl', 'Lx') + ly = config.getfloat('parabolic_bowl', 'Ly') + + nx = 2 * int(0.5 * lx / resolution + 0.5) + ny = 2 * int(0.5 * ly * (2. / np.sqrt(3)) / resolution + 0.5) + + approx_cells = nx * ny + # ideally, about 300 cells per core + # (make it a multiple of 4 because...it looks better?) + ntasks = max(1, + 4 * round(approx_cells / (4 * goal_cells_per_core))) + # In a pinch, about 3000 cells per core + min_tasks = max(1, + round(approx_cells / max_cells_per_core)) + + res_name = f'{resolution}km' + step = self.steps[f'forward_{res_name}'] + step.ntasks = ntasks + step.min_tasks = min_tasks + + config.set('parabolic_bowl', f'{res_name}_ntasks', str(ntasks), + comment=f'Target core count for {res_name} mesh') + config.set('parabolic_bowl', f'{res_name}_min_tasks', + str(min_tasks), + comment=f'Minimum core count for {res_name} mesh') + + def _setup_steps(self, config): + """ setup steps given resolutions """ + + default_resolutions = '5, 10, 20' + + # set the default values that a user may change before setup + config.set('parabolic_bowl', 'resolutions', default_resolutions, + comment='a list of resolutions (km) to test') + + # get the resolutions back, perhaps with values set in the user's + # config file + resolutions = config.getlist('parabolic_bowl', + 'resolutions', dtype=int) + + if self.resolutions is not None and self.resolutions == resolutions: + return + + # start fresh with no steps + self.steps = dict() + self.steps_to_run = list() + + self.resolutions = resolutions + + for resolution in self.resolutions: res_name = f'{resolution}km' self.add_step(InitialState(test_case=self, name=f'initial_state_{res_name}', resolution=resolution, - wetdry=wetdry)) + wetdry=self.wetdry)) self.add_step(Forward(test_case=self, name=f'forward_{res_name}', resolution=resolution, - ramp_type=ramp_type, - wetdry=wetdry)) + ramp_type=self.ramp_type, + wetdry=self.wetdry)) self.add_step(Viz(test_case=self, resolutions=resolutions)) -# def validate(self): -# """ -# Validate variables against a baseline -# """ -# variables = ['layerThickness', 'normalVelocity'] -# compare_variables(test_case=self, variables=variables, -# filename1='forward/output.nc') + def validate(self): + """ + Validate variables against a baseline + """ + super().validate() + variables = ['layerThickness', 'normalVelocity'] + for res in self.resolutions: + compare_variables(test_case=self, variables=variables, + filename1=f'forward_{res}km/output.nc') diff --git a/compass/ocean/tests/parabolic_bowl/forward.py b/compass/ocean/tests/parabolic_bowl/forward.py index ab959bcc8e..eb806e3cfc 100644 --- a/compass/ocean/tests/parabolic_bowl/forward.py +++ b/compass/ocean/tests/parabolic_bowl/forward.py @@ -1,3 +1,5 @@ +import time + from compass.model import run_model from compass.step import Step @@ -42,8 +44,6 @@ def __init__(self, test_case, resolution, name, 'namelist.forward') res_name = f'{resolution}km' - self.add_namelist_file('compass.ocean.tests.parabolic_bowl', - f'namelist.{res_name}.forward') self.add_namelist_file('compass.ocean.tests.parabolic_bowl', f'namelist.{coord_type}.forward') @@ -70,9 +70,10 @@ def __init__(self, test_case, resolution, name, def setup(self): """ - Set up the test case in the work directory, including downloading any - dependencies + Set namelist options based on config options """ + dt = self.get_dt() + self.add_namelist_options({'config_dt': dt}) self._get_resources() def constrain_resources(self, available_cores): @@ -86,8 +87,32 @@ def run(self): """ Run this step of the testcase """ + # update dt in case the user has changed dt_per_km + dt = self.get_dt() + self.update_namelist_at_runtime(options={'config_dt': dt}, + out_name='namelist.ocean') + run_model(self) + def get_dt(self): + """ + Get the time step + + Returns + ------- + dt : str + the time step in HH:MM:SS + """ + config = self.config + # dt is proportional to resolution + dt_per_km = config.getfloat('parabolic_bowl', 'dt_per_km') + + dt = dt_per_km * self.resolution + # https://stackoverflow.com/a/1384565/7728169 + dt = time.strftime('%H:%M:%S', time.gmtime(dt)) + + return dt + def _get_resources(self): # get the these properties from the config options config = self.config diff --git a/compass/ocean/tests/parabolic_bowl/parabolic_bowl.cfg b/compass/ocean/tests/parabolic_bowl/parabolic_bowl.cfg index 026a2b1a78..e7cac225b7 100644 --- a/compass/ocean/tests/parabolic_bowl/parabolic_bowl.cfg +++ b/compass/ocean/tests/parabolic_bowl/parabolic_bowl.cfg @@ -6,6 +6,11 @@ wall_time = 2:00:00 # config options for drying slope test cases [parabolic_bowl] +resolutions = 5, 10, 20 + +# time step per resolution (s/km), since dt is proportional to resolution +dt_per_km = 0.5 + # dimensions of domain in x and y directions (km) Lx = 1440 Ly = 1560 @@ -25,30 +30,15 @@ omega = 1.4544e-4 # Gravitational acceleration gravity = 9.81 -# Number of tasks for resolutions -20km_ntasks = 72 -20km_min_tasks = 4 +# the number of cells per core to aim for +goal_cells_per_core = 300 -10km_ntasks = 72 -10km_min_tasks = 4 - -5km_ntasks = 128 -5km_min_tasks = 4 +# the approximate maximum number of cells per core (the test will fail if too +# few cores are available) +max_cells_per_core = 3000 # config options for visualizing drying slope ouptut [parabolic_bowl_viz] # coordinates (in km) for timeseries plot points = [0,0], [300,0], [610,0] - -# additional directories to add to convergence plot -error_compare = [] - -## whether to generate movie -#generate_movie = False -# -## frames per second for movies -#frames_per_second = 30 -# -## movie format -#movie_format = mp4 From 0d0be642c97ea543ac98084cc4946c8b0273da19 Mon Sep 17 00:00:00 2001 From: Steven Brus Date: Mon, 21 Aug 2023 11:26:45 -0700 Subject: [PATCH 4/9] Update viz step - Modularize plot types into methods - Add contour plots --- .../tests/parabolic_bowl/parabolic_bowl.cfg | 22 ++-- .../tests/parabolic_bowl/viz/__init__.py | 103 +++++++++++++++++- 2 files changed, 110 insertions(+), 15 deletions(-) diff --git a/compass/ocean/tests/parabolic_bowl/parabolic_bowl.cfg b/compass/ocean/tests/parabolic_bowl/parabolic_bowl.cfg index e7cac225b7..3bd4f3f2ed 100644 --- a/compass/ocean/tests/parabolic_bowl/parabolic_bowl.cfg +++ b/compass/ocean/tests/parabolic_bowl/parabolic_bowl.cfg @@ -6,11 +6,6 @@ wall_time = 2:00:00 # config options for drying slope test cases [parabolic_bowl] -resolutions = 5, 10, 20 - -# time step per resolution (s/km), since dt is proportional to resolution -dt_per_km = 0.5 - # dimensions of domain in x and y directions (km) Lx = 1440 Ly = 1560 @@ -18,18 +13,24 @@ Ly = 1560 # Coriolis parameter coriolis_parameter = 1.031e-4 -# Maximum initial ssh magnitude +# maximum initial ssh magnitude eta_max = 2.0 -# Maximum water depth +# maximum water depth depth_max = 50.0 -# Angular fequency of oscillation +# angular fequency of oscillation omega = 1.4544e-4 -# Gravitational acceleration +# gravitational acceleration gravity = 9.81 +# a list of resolutions (km) to test +resolutions = 5, 10, 20 + +# time step per resolution (s/km), since dt is proportional to resolution +dt_per_km = 0.5 + # the number of cells per core to aim for goal_cells_per_core = 300 @@ -42,3 +43,6 @@ max_cells_per_core = 3000 # coordinates (in km) for timeseries plot points = [0,0], [300,0], [610,0] + +# generate contour plots at a specified interval between output timesnaps +plot_interval = 10 diff --git a/compass/ocean/tests/parabolic_bowl/viz/__init__.py b/compass/ocean/tests/parabolic_bowl/viz/__init__.py index 6be93749bd..57f0c31cd0 100644 --- a/compass/ocean/tests/parabolic_bowl/viz/__init__.py +++ b/compass/ocean/tests/parabolic_bowl/viz/__init__.py @@ -40,12 +40,30 @@ def run(self): Run this step of the test case """ - # Pointwise timeseries plots + points = self.get_points() + self.timeseries_plots(points) + self.inject_exact_solution() + self.contour_plots(points) + self.rmse_plots() + + def get_points(self): + """ + Get the point coordinates for plotting solution timeseries + """ + points = self.config.get('parabolic_bowl_viz', 'points') points = points.replace('[', '').replace(']', '').split(',') points = np.asarray(points, dtype=float).reshape(-1, 2) points = points * 1000 + return points + + def timeseries_plots(self, points): + """ + Plot solution timeseries at a given number of points + for each resolution + """ + fig, ax = plt.subplots(nrows=len(points), ncols=1) for res in self.resolutions: @@ -80,7 +98,11 @@ def run(self): loc='lower center', ncol=4) fig.savefig('points.png') - # Inject exact solution + def inject_exact_solution(self): + """ + Save exact solution to output nc file + """ + for res in self.resolutions: ds = xr.open_dataset(f'output_{res}km.nc') @@ -104,7 +126,72 @@ def run(self): format="NETCDF3_64BIT_OFFSET", mode='a') ds.close() - # RMSE plots + def contour_plots(self, points): + """ + Plot contour plots at a specified output interval for each resolution + """ + + sol_min = -2 + sol_max = 2 + clevels = np.linspace(sol_min, sol_max, 50) + cmap = plt.get_cmap('RdBu') + + ds = xr.open_dataset(f'output_{self.resolutions[0]}km.nc') + time = [dt.datetime.strptime(x.decode(), '%Y-%m-%d_%H:%M:%S') + for x in ds.xtime.values] + ds.close() + + plot_interval = self.config.getint('parabolic_bowl_viz', + 'plot_interval') + for i, tstep in enumerate(time): + + if i % plot_interval != 0: + continue + + ncols = len(self.resolutions) + 1 + fig, ax = plt.subplots(nrows=1, ncols=ncols, + figsize=(5 * ncols, 5), + constrained_layout=True) + + for j, res in enumerate(self.resolutions): + ds = xr.open_dataset(f'output_{res}km.nc') + ax[j].tricontourf(ds.xCell / 1000, ds.yCell / 1000, + ds['ssh'][i, :], + levels=clevels, cmap=cmap, + vmin=sol_min, vmax=sol_max, extend='both') + ax[j].set_aspect('equal', 'box') + ax[j].set_title(f'{res}km resolution') + ax[j].set_xlabel('x (km)') + ax[j].set_ylabel('y (km)') + ds.close() + + ds = xr.open_dataset(f'output_{min(self.resolutions)}km.nc') + cm = ax[ncols - 1].tricontourf(ds.xCell / 1000, ds.yCell / 1000, + ds['ssh_exact'][i, :], + levels=clevels, cmap=cmap, + vmin=sol_min, vmax=sol_max, + extend='both') + ax[ncols - 1].set_aspect('equal', 'box') + ax[ncols - 1].scatter(points[:, 0] / 1000, + points[:, 1] / 1000, 15, 'k') + + ax[ncols - 1].set_title('Analytical solution') + ax[ncols - 1].set_xlabel('x (km)') + ax[ncols - 1].set_ylabel('y (km)') + ds.close() + + cb = fig.colorbar(cm, ax=ax[-1], shrink=0.6) + cb.set_label('ssh (m)') + t = round((time[i] - time[0]).total_seconds() / 86400., 2) + fig.suptitle(f'ssh solution at t={t} days') + fig.savefig(f'solution_{i:03d}.png') + plt.close() + + def rmse_plots(self): + """ + Plot convergence curves + """ + comparisons = [] cases = {'standard_ramp': '../../../standard/ramp/viz', 'standard_noramp': '../../../standard/noramp/viz'} @@ -123,9 +210,6 @@ def run(self): rmse = np.zeros(len(self.resolutions)) for i, res in enumerate(self.resolutions): - # rmse[i] = self.compute_rmse( - # 'zeta', - # f'{cases[comp]}/output_{res}km.nc') rmse[i] = self.compute_rmse( 'h', f'{cases[comp]}/output_{res}km.nc') @@ -148,10 +232,14 @@ def run(self): ax.set_ylabel('RMSE (m)') ax.legend(loc='lower right') + ax.set_title('Layer thickness convergence') fig.tight_layout() fig.savefig('error.png') def compute_rmse(self, varname, filename): + """ + Compute the rmse between the modeled and exact solutions + """ ds = xr.open_dataset(filename) @@ -172,6 +260,9 @@ def compute_rmse(self, varname, filename): return rmse def exact_solution(self, var, x, y, t): + """ + Evaluate the exact solution + """ config = self.config From 694fbf7e299051a4a86e746620505a82674d0c4a Mon Sep 17 00:00:00 2001 From: Steven Brus Date: Tue, 22 Aug 2023 12:19:13 -0700 Subject: [PATCH 5/9] Turn off bottom drag --- compass/ocean/tests/parabolic_bowl/namelist.forward | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/compass/ocean/tests/parabolic_bowl/namelist.forward b/compass/ocean/tests/parabolic_bowl/namelist.forward index 775128e4ac..a8ec1ff4c4 100644 --- a/compass/ocean/tests/parabolic_bowl/namelist.forward +++ b/compass/ocean/tests/parabolic_bowl/namelist.forward @@ -9,5 +9,5 @@ config_zero_drying_velocity=.true. config_verify_not_dry=.true. config_thickness_flux_type='upwind' config_use_cvmix=.false. -config_use_implicit_bottom_drag=.false. config_check_ssh_consistency=.true. +config_implicit_constant_bottom_drag_coeff = 0.0 From f96edeff4cbf74e6c649eb43d137ecc6e9f9d669 Mon Sep 17 00:00:00 2001 From: Steven Brus Date: Wed, 30 Aug 2023 08:43:37 -0700 Subject: [PATCH 6/9] Add documentation --- compass/ocean/tests/parabolic_bowl/forward.py | 2 +- .../tests/parabolic_bowl/viz/__init__.py | 1 + docs/developers_guide/ocean/api.rst | 32 ++++ .../ocean/test_groups/index.rst | 1 + .../ocean/test_groups/parabolic_bowl.rst | 45 +++++ .../images/parabolic_bowl_error.png | Bin 0 -> 37344 bytes .../images/parabolic_bowl_points.png | Bin 0 -> 86135 bytes .../images/parabolic_bowl_solution_000.png | Bin 0 -> 151028 bytes .../images/parabolic_bowl_solution_360.png | Bin 0 -> 190412 bytes docs/users_guide/ocean/test_groups/index.rst | 1 + .../ocean/test_groups/parabolic_bowl.rst | 171 ++++++++++++++++++ 11 files changed, 252 insertions(+), 1 deletion(-) create mode 100644 docs/developers_guide/ocean/test_groups/parabolic_bowl.rst create mode 100644 docs/users_guide/ocean/test_groups/images/parabolic_bowl_error.png create mode 100644 docs/users_guide/ocean/test_groups/images/parabolic_bowl_points.png create mode 100644 docs/users_guide/ocean/test_groups/images/parabolic_bowl_solution_000.png create mode 100644 docs/users_guide/ocean/test_groups/images/parabolic_bowl_solution_360.png create mode 100644 docs/users_guide/ocean/test_groups/parabolic_bowl.rst diff --git a/compass/ocean/tests/parabolic_bowl/forward.py b/compass/ocean/tests/parabolic_bowl/forward.py index eb806e3cfc..62fdd4d49d 100644 --- a/compass/ocean/tests/parabolic_bowl/forward.py +++ b/compass/ocean/tests/parabolic_bowl/forward.py @@ -114,7 +114,7 @@ def get_dt(self): return dt def _get_resources(self): - # get the these properties from the config options + """ get the these properties from the config options """ config = self.config self.ntasks = config.getint('parabolic_bowl', f'{self.resolution}km_ntasks') diff --git a/compass/ocean/tests/parabolic_bowl/viz/__init__.py b/compass/ocean/tests/parabolic_bowl/viz/__init__.py index 57f0c31cd0..92d8bcad30 100644 --- a/compass/ocean/tests/parabolic_bowl/viz/__init__.py +++ b/compass/ocean/tests/parabolic_bowl/viz/__init__.py @@ -129,6 +129,7 @@ def inject_exact_solution(self): def contour_plots(self, points): """ Plot contour plots at a specified output interval for each resolution + and show where the points used in `points.png` are located. """ sol_min = -2 diff --git a/docs/developers_guide/ocean/api.rst b/docs/developers_guide/ocean/api.rst index d9e52dfe88..baf545f4d5 100644 --- a/docs/developers_guide/ocean/api.rst +++ b/docs/developers_guide/ocean/api.rst @@ -604,6 +604,38 @@ overflow hydro_vs_nonhydro.visualize.Visualize hydro_vs_nonhydro.visualize.Visualize.run +parabolic_bowl +~~~~~~~~~~~~~~ + +.. currentmodule:: compass.ocean.tests.parabolic_bowl + +.. autosummary:: + :toctree: generated/ + + ParabolicBowl + + default.Default + default.Default.configure + default.Default.update_cores + default.Default.validate + + forward.Forward + forward.Forward.run + forward.Forward.setup + forward.Forward.get_dt + + initial_state.InitialState + initial_state.InitialState.run + + viz.Viz + viz.Viz.run + viz.Viz.get_points + viz.Viz.timeseries_plots + viz.Viz.inject_exact_solution + viz.Viz.contour_plots + viz.Viz.rmse_plots + viz.Viz.compute_rmse + viz.Viz.exact_solution planar_convergence ~~~~~~~~~~~~~~~~~~ diff --git a/docs/developers_guide/ocean/test_groups/index.rst b/docs/developers_guide/ocean/test_groups/index.rst index 144df323c2..11302227cf 100644 --- a/docs/developers_guide/ocean/test_groups/index.rst +++ b/docs/developers_guide/ocean/test_groups/index.rst @@ -21,6 +21,7 @@ Test groups merry_go_round nonhydro overflow + parabolic_bowl planar_convergence soma sphere_transport diff --git a/docs/developers_guide/ocean/test_groups/parabolic_bowl.rst b/docs/developers_guide/ocean/test_groups/parabolic_bowl.rst new file mode 100644 index 0000000000..6af73a730d --- /dev/null +++ b/docs/developers_guide/ocean/test_groups/parabolic_bowl.rst @@ -0,0 +1,45 @@ +.. _dev_ocean_parabolic_bowl: + +parabolic_bowl +================== + +The ``parabolic_bowl`` test group +(:py:class:`compass.ocean.tests.parabolic_bowl.ParabolicBowl`) +implements convergence study for wetting and drying in a parabolic bowl. + +.. _dev_ocean_parabolic_bowl_default: + +default +------- + +The :py:class:`compass.ocean.tests.parabolic_bowl.default.Default` +test performs a series of 3 day-long runs where an initial mound of water +ocsillates in a parabolic bowl. The resolution of the problem (by default, between +5 and 20 km). Modeled results are compared with a known exact solution to +demonstrate convergence. See :ref:`ocean_parabolic_bowl_default`. +for config options and more details on the test case. + +init +~~~~ + +The class :py:class:`compass.ocean.tests.parabolic_bowl.init.Init` +defines a step for setting up for generating planar hex meshes and creating +the initial state for each test case. + +forward +~~~~~~~ + +The class :py:class:`compass.ocean.tests.parabolic_bowl.forward.Forward` +defines a step for running MPAS-Ocean from the initial condition produced in +the ``initial_state`` step. The time step is determined from the resolution +based on the ``dt_per_km`` config option. Other namelist options are taken +from the test case's ``namelist.forward``. + +viz +~~~ + +The class :py:class:`compass.ocean.tests.parabolic_bowl.viz.Viz` +defines a step for creating contour plots of the solution at different +times (``solution_***.png``), time series plots at different points +(``points.png``). It also computes the root mean squared error for +the results at each resolution and plots them in ``error.png``. diff --git a/docs/users_guide/ocean/test_groups/images/parabolic_bowl_error.png b/docs/users_guide/ocean/test_groups/images/parabolic_bowl_error.png new file mode 100644 index 0000000000000000000000000000000000000000..e106ee9ed7fe3e4499f97651d65db786aaf45ab1 GIT binary patch literal 37344 zcmb?@Wms12*6pG}8kKHPEK+Gn2~knHK^mpIOByK=0TmGhkp=~k?o>*oyF{cxLXbLh z;d}Pp=j`vt`ElOs_0mgx*0a{V<~`?_V~lx+E8UeRK1F*9K@ehvn=&d0g6WSS7*qJT z@HhNDW8dL7VP{z_XH`3MXE!59GeptI+1}dD+4`X|v#Xh-(?dJkt6YLyd{>wsI6K=r ziEwk<{OccZ**RKpU(}!TgNqQ@-_&+O5K<%b7edN^zD-gFY~vjD;|fbs43~0D!;wCk=anOQ zd<*ev-@N$d4vwh#_%4#QvAaF>km!z+zv|>P@1=UbOKj4~R2mxZ)vb!&aaO!;V{>4jNcE>doM=14J|`x0-%*xl6?a_4;GQemxckJA<1Pegn# zmY?3=e`!@9b$oQly*C>c=1B)%S9FO1r|$NL2R*FIleLq4IOOEpQm!ggk}{t%-@L)- z>gpPIJ$mwlEGQ_*d35iyNZ;UKV{^0YB43#2xoCu9*uSMk?)t%cBlUH6o@cktRaIB> zdTu@NKHMHOZ&iHGgF!$*KqmcMj4Md;&K)A#stvhblg`dg_l;(%*e6dAd3pKWKYwNl 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zxm0-c^$?qCc_|0azWeA=^|%nkr?BFc5Rf;w1V23b_RcLTwGx$Idt6*Pg*4Rm=sz4%7RS0HT1-ro}a(N)Q4G7aa;=$sG zwUC54L982BJmQlCgq|)` zYmX(;gqruH#o02_LpsphC2QztjdDkEPq|%PY8H&rzZ7`tZ0{<6dS+&(t+VsbKMc0lK`YV zBEkGVcRYZn9SubBkjH3QGGkmzOqvaq*DAWg>~kALLLR5tkDh+#@#DwLE6dDJK)s1h zwb7@rSoqe0Ks6}vQYZ}?$dn*&LG#p9Y)Uim{_ZPDvYaeBG}Ri}e+N>Q$&UpLa_Ll2 zDYH4xj{_0$%>)%~z#&0}yOV9aemz>hiGZS-1MyBKF)?v5sS<3pIqbnQGVS}NEn1g$zdO~p-6dlKQU;thQ$?cd)Xj<)_mZfLhk z#mKUwu~Dp*my@G}+{J?j4+x}6wD||fjY)!J(!i84G7hK&QvY%N<)47_Kd-_3 e-#v;Ek^}fF`_. The problem +consists an initial mound of water which propagtes outward and reflects off +a wet/dry boundary in a parabolic-shaped basin. The presence of a Corilois +factor causes the wave to rotate around the bowl as it oscillates. The +bathymetry is given as: + +.. math:: + + b(x,y) = b_0\left(1 - \frac{R^2}{L^2}\right), + +with + +.. math:: + + R &= \sqrt{x^2 + y^2}, \\ + L &= \sqrt{\frac{8gb_0}{\omega^2 - f^2}}. + +An exact solution for this problem exists for the frictionless, nonlinear shallow water equations: + +.. math:: + + \eta(x,y,t) &= b_0\left[ \frac{\sqrt{1-C^2}}{1-C\cos(\omega t)} -1 - \left( \frac{R^2}{L^2} \right)\left( \frac{1-C^2}{(1-C\cos(\omega t))^2}-1\right)\right], \\ + u(x,y,t) &= \frac{1}{1-C\cos(\omega t)}\left( \frac{1}{2}\omega x C \sin(\omega t) - \frac{1}{2}fy\left( \sqrt{1-C^2} + C\cos(\omega t) - 1\right)\right), \\ + v(x,y,t) &= \frac{1}{1-C\cos(\omega t)}\left(\frac{1}{2}fx\left(\sqrt{1-C^2} + A\cos(\omega t) -1 \right) + \frac{1}{2}\omega y C \sin(\omega t)\right), + +where, :math:`C` is defined as: + +.. math:: + + C = \frac{(b_0+\eta_0)^2 - b_0^2}{(b_0+\eta_0)^2 + b_0^2}. + +Since this is a single layer case, the solution for the total depth, :math:`h = \eta + b`, is + +.. math:: + + h(x,y,t) = b_0\left[ \frac{\sqrt{1-C^2}}{1-C\cos(\omega t)} - \left( \frac{R^2}{L^2} \right)\left( \frac{1-C^2}{(1-C\cos(\omega t))^2}\right)\right]. + + +By default, the resolution is varied from 5 km to 20 km by doubling the resolution, +with the time step proportional to resolution. +The result of the ``viz`` step of the test case is are plots of the solution at +different times, a time series at various points, and a convergence plot. + + +.. image:: images/parabolic_bowl_solution_000.png + :width: 500 px + :align: center + +.. image:: images/parabolic_bowl_solution_360.png + :width: 500 px + :align: center + +.. image:: images/parabolic_bowl_points.png + :width: 500 px + :align: center + +.. image:: images/parabolic_bowl_error.png + :width: 500 px + :align: center + +config options +~~~~~~~~~~~~~~ + +The ``parabolic_bowl`` config options include: + +.. code-block:: cfg + + # config options for drying slope test cases + [parabolic_bowl] + + # dimensions of domain in x and y directions (km) + Lx = 1440 + Ly = 1560 + + # Coriolis parameter + coriolis_parameter = 1.031e-4 + + # Maximum initial ssh magnitude + eta_max = 2.0 + + # Maximum water depth + depth_max = 50.0 + + # Angular fequency of oscillation + omega = 1.4544e-4 + + # Gravitational acceleration + gravity = 9.81 + + # a list of resolutions (km) to test + resolutions = 5, 10, 20 + + # time step per resolution (s/km), since dt is proportional to resolution + dt_per_km = 0.5 + + # the number of cells per core to aim for + goal_cells_per_core = 300 + + # the approximate maximum number of cells per core (the test will fail if too + # few cores are available) + max_cells_per_core = 3000 + + # config options for visualizing drying slope ouptut + [parabolic_bowl_viz] + + # coordinates (in km) for timeseries plot + points = [0,0], [300,0], [610,0] + + # generate contour plots at a specified interval between output timesnaps + plot_interval = 10 + + +The last 7 options are used to control properties of the cosine bell and the +background properties. The first 4 options are discussed below. + +resolutions +~~~~~~~~~~~ + +The default resolutions (in km) used in the test case are: + +.. code-block:: cfg + + resolutions = 20, 10, 5 + +To alter the resolutions used in this test, you will need to create your own +config file (or add a ``parabolic_bowl`` section to a config file if you're +already using one). The resolutions are a comma-separated list of the +resolution of the mesh in km. If you specify a different list +before setting up ``parabolic_bowl``, steps will be generated with the requested +resolutions. (If you alter ``resolutions`` in the test case's config file in +the work directory, nothing will happen.) + +time step +~~~~~~~~~ + +The time step for forward integration is determined by multiplying the +resolution by ``dt_per_km``, so that coarser meshes have longer time steps. +You can alter this before setup (in a user config file) or before running the +test case (in the config file in the work directory). + +cores +~~~~~ + +The number of cores (and the minimum) is proportional to the number of cells, +so that the number of cells per core is roughly constant. You can alter how +many cells are allocated to each core with ``goal_cells_per_core``. You can +control the maximum number of cells that are allowed to be placed on a single +core (before the test case will fail) with ``max_cells_per_core``. If there +aren't enough processors to handle the finest resolution, you will see that +the step (and therefore the test case) has failed. + +viz +~~~ + +The vizualization step can be configured to plot the timeseries for an +arbitrary set of coordinates by setting ``points``. Also, the interval +between contour plot time snaps can be controlled with ``plot_interval``. From ba1558f59df68b724c86f3c6eb5cd1f291905a31 Mon Sep 17 00:00:00 2001 From: Steven Brus Date: Wed, 30 Aug 2023 08:34:10 -0700 Subject: [PATCH 7/9] Fix misspellings in docs --- .../ocean/test_groups/parabolic_bowl.rst | 2 +- docs/users_guide/ocean/test_groups/parabolic_bowl.rst | 10 +++++----- 2 files changed, 6 insertions(+), 6 deletions(-) diff --git a/docs/developers_guide/ocean/test_groups/parabolic_bowl.rst b/docs/developers_guide/ocean/test_groups/parabolic_bowl.rst index 6af73a730d..ae8ea55ee9 100644 --- a/docs/developers_guide/ocean/test_groups/parabolic_bowl.rst +++ b/docs/developers_guide/ocean/test_groups/parabolic_bowl.rst @@ -14,7 +14,7 @@ default The :py:class:`compass.ocean.tests.parabolic_bowl.default.Default` test performs a series of 3 day-long runs where an initial mound of water -ocsillates in a parabolic bowl. The resolution of the problem (by default, between +oscillates in a parabolic bowl. The resolution of the problem (by default, between 5 and 20 km). Modeled results are compared with a known exact solution to demonstrate convergence. See :ref:`ocean_parabolic_bowl_default`. for config options and more details on the test case. diff --git a/docs/users_guide/ocean/test_groups/parabolic_bowl.rst b/docs/users_guide/ocean/test_groups/parabolic_bowl.rst index 766cb7f8c3..8030a395ef 100644 --- a/docs/users_guide/ocean/test_groups/parabolic_bowl.rst +++ b/docs/users_guide/ocean/test_groups/parabolic_bowl.rst @@ -13,8 +13,8 @@ default The ``default`` test case implements the parabolic bowl test case found in `Thacker 1981 `_. The problem -consists an initial mound of water which propagtes outward and reflects off -a wet/dry boundary in a parabolic-shaped basin. The presence of a Corilois +consists an initial mound of water which propagates outward and reflects off +a wet/dry boundary in a parabolic-shaped basin. The presence of a Coriolis factor causes the wave to rotate around the bowl as it oscillates. The bathymetry is given as: @@ -50,7 +50,7 @@ Since this is a single layer case, the solution for the total depth, :math:`h = h(x,y,t) = b_0\left[ \frac{\sqrt{1-C^2}}{1-C\cos(\omega t)} - \left( \frac{R^2}{L^2} \right)\left( \frac{1-C^2}{(1-C\cos(\omega t))^2}\right)\right]. -By default, the resolution is varied from 5 km to 20 km by doubling the resolution, +By default, the resolution is varied from 20 km to 5 km by doubling the resolution, with the time step proportional to resolution. The result of the ``viz`` step of the test case is are plots of the solution at different times, a time series at various points, and a convergence plot. @@ -102,7 +102,7 @@ The ``parabolic_bowl`` config options include: gravity = 9.81 # a list of resolutions (km) to test - resolutions = 5, 10, 20 + resolutions = 20, 10, 5 # time step per resolution (s/km), since dt is proportional to resolution dt_per_km = 0.5 @@ -166,6 +166,6 @@ the step (and therefore the test case) has failed. viz ~~~ -The vizualization step can be configured to plot the timeseries for an +The visualization step can be configured to plot the timeseries for an arbitrary set of coordinates by setting ``points``. Also, the interval between contour plot time snaps can be controlled with ``plot_interval``. From 6d315f1c35f2310cbb68ab6ebea9e8b129640f8e Mon Sep 17 00:00:00 2001 From: Steven Brus Date: Wed, 30 Aug 2023 08:39:18 -0700 Subject: [PATCH 8/9] Reverse order of resolutions for parabolic bowl --- compass/ocean/tests/parabolic_bowl/default/__init__.py | 2 +- compass/ocean/tests/parabolic_bowl/parabolic_bowl.cfg | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/compass/ocean/tests/parabolic_bowl/default/__init__.py b/compass/ocean/tests/parabolic_bowl/default/__init__.py index fe130ef087..ccb7fd437f 100644 --- a/compass/ocean/tests/parabolic_bowl/default/__init__.py +++ b/compass/ocean/tests/parabolic_bowl/default/__init__.py @@ -100,7 +100,7 @@ def update_cores(self): def _setup_steps(self, config): """ setup steps given resolutions """ - default_resolutions = '5, 10, 20' + default_resolutions = '20, 10, 5' # set the default values that a user may change before setup config.set('parabolic_bowl', 'resolutions', default_resolutions, diff --git a/compass/ocean/tests/parabolic_bowl/parabolic_bowl.cfg b/compass/ocean/tests/parabolic_bowl/parabolic_bowl.cfg index 3bd4f3f2ed..89e7ae2ca2 100644 --- a/compass/ocean/tests/parabolic_bowl/parabolic_bowl.cfg +++ b/compass/ocean/tests/parabolic_bowl/parabolic_bowl.cfg @@ -26,7 +26,7 @@ omega = 1.4544e-4 gravity = 9.81 # a list of resolutions (km) to test -resolutions = 5, 10, 20 +resolutions = 20, 10, 5 # time step per resolution (s/km), since dt is proportional to resolution dt_per_km = 0.5 From 2d9cade41329ff155eb3bcf0b9b366c7caa20e8d Mon Sep 17 00:00:00 2001 From: Xylar Asay-Davis Date: Sat, 2 Sep 2023 03:00:28 -0600 Subject: [PATCH 9/9] Fix alphabetical order --- compass/ocean/__init__.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/compass/ocean/__init__.py b/compass/ocean/__init__.py index 50db9dd1a3..929720e50f 100644 --- a/compass/ocean/__init__.py +++ b/compass/ocean/__init__.py @@ -50,8 +50,8 @@ def __init__(self): self.add_test_group(MerryGoRound(mpas_core=self)) self.add_test_group(Nonhydro(mpas_core=self)) self.add_test_group(Overflow(mpas_core=self)) - self.add_test_group(PlanarConvergence(mpas_core=self)) self.add_test_group(ParabolicBowl(mpas_core=self)) + self.add_test_group(PlanarConvergence(mpas_core=self)) self.add_test_group(Soma(mpas_core=self)) self.add_test_group(SphereTransport(mpas_core=self)) self.add_test_group(SphericalHarmonicTransform(mpas_core=self))

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