From ed865843b03dde389e9269f29038378f96b6b090 Mon Sep 17 00:00:00 2001 From: Louis Moresi Date: Fri, 25 Oct 2024 14:11:12 +1100 Subject: [PATCH] Professor Diablo wants to say something --- .../Convection-AdaptedMesh.py | 214 +++++++++ .../MeshRefine-AdaptiveMetric-ImageDensity.py | 406 ++++++++++++++++++ .../ProfDiabloSilhouette.tiff | Bin 0 -> 1849908 bytes .../Ex_Stokes_Spherical_Kernels.py | 5 +- 4 files changed, 621 insertions(+), 4 deletions(-) create mode 100644 Notebooks/Examples-Meshing/Convection-AdaptedMesh.py create mode 100644 Notebooks/Examples-Meshing/MeshRefine-AdaptiveMetric-ImageDensity.py create mode 100644 Notebooks/Examples-Meshing/ProfDiabloSilhouette.tiff diff --git a/Notebooks/Examples-Meshing/Convection-AdaptedMesh.py b/Notebooks/Examples-Meshing/Convection-AdaptedMesh.py new file mode 100644 index 0000000..7521ae6 --- /dev/null +++ b/Notebooks/Examples-Meshing/Convection-AdaptedMesh.py @@ -0,0 +1,214 @@ +# %% +# + +## Mesh refinement ... + +# to fix trame issue +import nest_asyncio +nest_asyncio.apply() + +import os + +os.environ["UW_TIMING_ENABLE"] = "1" +os.environ["SYMPY_USE_CACHE"] = "no" + +import petsc4py +from petsc4py import PETSc + +from underworld3 import timing +from underworld3 import adaptivity + +import underworld3 as uw +from underworld3 import function +from enum import Enum + +import numpy as np +import sympy + + +# %% +class bd(Enum): + Upper=2 + +batmesh = uw.discretisation.Mesh( + "Batmesh_number_one.h5", + coordinate_system_type=uw.coordinates.CoordinateSystemType.CYLINDRICAL2D, + boundaries=bd) + + +# %% +batmesh.dm.view() + +# %% +Rayleigh_number = uw.function.expression(r"\textrm{Ra}", sympy.sympify(10)**6, "Rayleigh number") + +# %% +v_soln = uw.discretisation.MeshVariable("U", batmesh, batmesh.dim, degree=2, continuous=True) +p_soln = uw.discretisation.MeshVariable("P", batmesh, 1, degree=1, continuous=True) +t_soln = uw.discretisation.MeshVariable("T", batmesh, 1, degree=2) +cell_properties = uw.discretisation.MeshVariable("Bat", batmesh, 1, degree=0) + + +# %% +cell_properties.read_timestep( + "Batmesh_cell_properties", + data_name="L", + index=0, +) + +# %% +# Create Stokes object + +stokes = uw.systems.Stokes( + batmesh, + velocityField=v_soln, + pressureField=p_soln, +) + +# Constant viscosity + +stokes.constitutive_model = uw.constitutive_models.ViscousFlowModel +stokes.constitutive_model.Parameters.shear_viscosity_0 = 1 +stokes.tolerance = 1.0e-3 + +unit_r_vec = batmesh.CoordinateSystem.unit_e_0 + +# free slip. +# note with petsc we always need to provide a vector of correct cardinality. + +stokes.add_natural_bc(10000 * unit_r_vec.dot(v_soln.sym) * unit_r_vec, "Upper") +stokes.bodyforce = Rayleigh_number * unit_r_vec * t_soln.sym[0] + +# Make the bat stagnant +# stokes.bodyforce -= 10000 * (1-cell_properties.sym[0]) * v_soln.sym + +stokes.view() + +# %% +adv_diff = uw.systems.AdvDiffusionSLCN( + batmesh, + u_Field=t_soln, + V_fn=v_soln, +) + +adv_diff.constitutive_model = uw.constitutive_models.DiffusionModel +adv_diff.constitutive_model.Parameters.diffusivity = 1 +adv_diff.f = 10 * (1-cell_properties.sym[0]) + +adv_diff.add_dirichlet_bc(0.0, "Upper") + +t_init = 1-cell_properties.sym[0] + +with batmesh.access(t_soln): + t_soln.data[:,0] = uw.function.evalf(t_init, t_soln.coords) + + +# %% +stokes.solve(zero_init_guess=True) + +# %% +v_soln.view() + +# %% +t_step = 0 + +# %% + +for step in range(0, 50): + stokes.solve(zero_init_guess=False) + delta_t = 2.0 * stokes.estimate_dt() + adv_diff.solve(timestep=delta_t, zero_init_guess=False) + + # stats then loop + tstats = t_soln.stats() + + if uw.mpi.rank == 0: + print("Timestep {}, dt {}".format(step, delta_t)) + + batmesh.write_timestep( + "Batmesh", + meshUpdates=True, + meshVars=[p_soln, v_soln, t_soln], + outputPath="output", + index=t_step, + ) + + with batmesh.access(t_soln): + t_soln.data[:,0] = np.maximum(t_soln.data[:,0], uw.function.evalf(t_init, t_soln.coords)) + + t_step += 1 + + +# %% +if uw.mpi.size == 1: + + import pyvista as pv + import underworld3.visualisation as vis + + pvmesh = vis.mesh_to_pv_mesh(batmesh) + pvmesh.point_data["T"] = vis.scalar_fn_to_pv_points(pvmesh, t_soln.sym[0]) + pvmesh.point_data["V"] = vis.vector_fn_to_pv_points(pvmesh, v_soln.sym) + pvmesh.point_data["L"] = vis.scalar_fn_to_pv_points(pvmesh, cell_properties.sym[0]) + + pl = pv.Plotter(window_size=(750, 750)) + + pvstream = pvmesh.streamlines_from_source( + pvmesh.cell_centers(), + vectors="V", + integrator_type=45, + surface_streamlines=True, + max_steps=1000, + max_time=0.25, + ) + + pl.add_mesh( + pvmesh, + cmap="Oranges", + scalars="T", + edge_color="Grey", + show_edges=False, + use_transparency=False, + opacity=1.0, + show_scalar_bar=True, + clim=[0,1] + ) + + pl.add_mesh( + pvmesh, + scalars="L", + cmap="Greys_r", + edge_color="Black", + opacity="L", + show_edges=False, + use_transparency=True, + show_scalar_bar=False, + + ) + + # pl.add_mesh(pvstream, cmap="jet", show_scalar_bar=False) + + + + # pl.add_arrows(pvmesh.points, pvmesh.point_data["V"], + # mag=float(20.0/Rayleigh_number.sym), + # show_scalar_bar=False) + + + pl.show(jupyter_backend='html') + +# %% +## Check the results saved to file + +expt_name = "Batmesh" +output_path="output" +step = 20 + +v_soln.read_timestep(expt_name, "U", step, outputPath=output_path) +p_soln.read_timestep(expt_name, "P", step, outputPath=output_path) +t_soln.read_timestep(expt_name, "T", step, outputPath=output_path) + + + +# %% +adv_diff + +# %% diff --git a/Notebooks/Examples-Meshing/MeshRefine-AdaptiveMetric-ImageDensity.py b/Notebooks/Examples-Meshing/MeshRefine-AdaptiveMetric-ImageDensity.py new file mode 100644 index 0000000..9561124 --- /dev/null +++ b/Notebooks/Examples-Meshing/MeshRefine-AdaptiveMetric-ImageDensity.py @@ -0,0 +1,406 @@ +# %% +# + +## Mesh refinement ... + +# to fix trame issue +import nest_asyncio +nest_asyncio.apply() + +import os + +os.environ["UW_TIMING_ENABLE"] = "1" +os.environ["SYMPY_USE_CACHE"] = "no" + +import petsc4py +from petsc4py import PETSc + +from underworld3 import timing +from underworld3 import adaptivity + +import underworld3 as uw +from underworld3 import function + +import numpy as np +import sympy + + +# %% +import skimage as ski +import pyvista as pv + + +# + +blocks = ski.io.imread("ProfDiabloSilhouette.tiff" ) +blocks_T = blocks.transpose(1,0,2) +width = blocks.shape[1]/blocks.shape[0] + +from scipy import ndimage +from skimage.util import random_noise +from skimage import feature +from skimage.color import rgb2gray +from skimage import filters + + +# These regions / materials are where we would like to concentrate the +# mesh refinement. An alternative, with a generic image is to use this + +grayscale = rgb2gray(blocks) +bg = grayscale < 0.5 +binary = grayscale.copy() +binary[bg] = 0 +binary[~bg] = 1 + +outline = filters.scharr(binary) + +# lmask = mat_masks["fault_R"] | mat_masks["fault_B1"] | mat_masks["fault_B2"] | mat_masks["source"] + +blurred_outline = ski.filters.gaussian(outline, sigma=3, mode="nearest" ) +blurred_outline = 50.0 * np.minimum(blurred_outline, 0.02) + + + +# %% + +# %% +import matplotlib.pyplot as plt + +fig = plt.figure(figsize=(10,6)) +ax = plt.subplot(1,1,1) +ax.imshow(bg, cmap="Oranges") +ax.imshow(blurred_outline, cmap="Greys", alpha=0.5) + + +# %% +# + +# mesh0 = uw.meshing.UnstructuredSimplexBox( +# minCoords=(0.0,0.0), +# maxCoords=(width,1), +# cellSize=0.02 +# ) + +mesh0 = uw.meshing.Annulus( + radiusOuter=0.666, + radiusInner=0.0, + cellSize=0.01, +) + +H = uw.discretisation.MeshVariable("H", mesh0, 1) +Metric = uw.discretisation.MeshVariable("M", mesh0, 1, degree=1) + + +sample_coords = (2/3, 1/2) + (2,-2) * H.coords +image_coords = sample_coords * ( blurred_outline.T.shape[0] / width, blurred_outline.T.shape[1] ) +mvals = ndimage.map_coordinates(blurred_outline.T, image_coords.T , order=1, mode='nearest').astype(np.float32) + + + +# %% +with mesh0.access(H): + H.data[:,0] = 100.0 + 25000 * mvals + +# + +icoord, meshA = adaptivity.mesh_adapt_meshVar(mesh0, H, Metric, redistribute=True) +HA = uw.discretisation.MeshVariable("HA", meshA, 1) +cell_label = uw.discretisation.MeshVariable("L", meshA, 1, degree=0,continuous=False) + +## Remap the information + +sample_coords = (2/3, 1/2) + (2,-2) * HA.coords +image_coords = sample_coords * ( blurred_outline.T.shape[0] / width, blurred_outline.T.shape[1] ) +mvals = ndimage.map_coordinates(blurred_outline, image_coords.T , order=1, mode='nearest').astype(np.float32) + +with meshA.access(HA): + HA.data[:,0] = 10.0 + 100000 * mvals + +sample_coords = (2/3, 1/2) + (2,-2) * cell_label.coords +image_coords = sample_coords * ( blurred_outline.T.shape[0] / width, blurred_outline.T.shape[1] ) +mvals = ndimage.map_coordinates(binary.T, image_coords.T , order=0, mode='nearest') + +with meshA.access(cell_label): + cell_label.data[:,0] = mvals + +batmesh = meshA +batmesh.qdegree = 3 + +# %% +batmesh.write("Batmesh_number_one.h5") +cell_label.write("Batmesh_cell_properties.h5") + +# %% +# ls -trl + +# %% + +# %% + +# %% + +# %% +Rayleigh_number = uw.function.expression(r"\textrm{Ra}", sympy.sympify(10)**6, "Rayleigh number") + +# %% +v_soln = uw.discretisation.MeshVariable("U", batmesh, meshA.dim, degree=2, continuous=True) +p_soln = uw.discretisation.MeshVariable("P", batmesh, 1, degree=1, continuous=True) +t_soln = uw.discretisation.MeshVariable("T", batmesh, 1, degree=2) + + +# %% +# Create Stokes object + +stokes = uw.systems.Stokes( + batmesh, + velocityField=v_soln, + pressureField=p_soln, +) + +# Constant viscosity + +stokes.constitutive_model = uw.constitutive_models.ViscousFlowModel +stokes.constitutive_model.Parameters.shear_viscosity_0 = 1 +stokes.tolerance = 1.0e-3 + +unit_r_vec = batmesh.CoordinateSystem.unit_e_0 + +# free slip. +# note with petsc we always need to provide a vector of correct cardinality. + +stokes.add_natural_bc(10000 * unit_r_vec.dot(v_soln.sym) * unit_r_vec, "Upper") +stokes.bodyforce = -Rayleigh_number * unit_r_vec * t_soln.sym[0] + +stokes.view() + +# %% + +adv_diff = uw.systems.AdvDiffusionSLCN( + batmesh, + u_Field=t_soln, + V_fn=v_soln, +) + +adv_diff.constitutive_model = uw.constitutive_models.DiffusionModel +adv_diff.constitutive_model.Parameters.diffusivity = 1 +adv_diff.f = cell_label.sym[0] + +adv_diff.add_dirichlet_bc(0.0, "Upper") + +with batmesh.access(t_soln): + t_soln.data[:,0] = uw.function.evalf(cell_label.sym[0], t_soln.coords) + + +# %% +stokes.solve(zero_init_guess=True) + +# %% +t_step = 0 + +# %% + +for step in range(0, 50): + stokes.solve(zero_init_guess=False) + delta_t = 5.0 * stokes.estimate_dt() + adv_diff.solve(timestep=delta_t, zero_init_guess=False) + + # stats then loop + tstats = t_soln.stats() + + if uw.mpi.rank == 0: + print("Timestep {}, dt {}".format(step, delta_t)) + + # if t_step % 5 == 0: + # plot_T_mesh(filename="{}_step_{}".format(expt_name, t_step)) + + batmesh.write_timestep( + "Batmesh", + meshUpdates=True, + meshVars=[p_soln, v_soln, t_soln], + outputPath="output", + index=t_step, + ) + + t_step += 1 + + +# %% +if uw.mpi.size == 1: + + import pyvista as pv + import underworld3.visualisation as vis + + pvmesh = vis.mesh_to_pv_mesh(batmesh) + pvmesh.point_data["T"] = vis.scalar_fn_to_pv_points(pvmesh, t_soln.sym[0]) + pvmesh.point_data["V"] = vis.vector_fn_to_pv_points(pvmesh, v_soln.sym) + + pl = pv.Plotter(window_size=(1500, 1500)) + + pvstream = pvmesh.streamlines_from_source( + pvmesh.cell_centers(), + vectors="V", + integrator_type=45, + surface_streamlines=True, + max_steps=1000, + max_time=0.25, + ) + + pl.add_mesh( + pvmesh, + cmap="Oranges_r", + scalars="T", + edge_color="Black", + show_edges=True, + use_transparency=False, + opacity=0.8, + show_scalar_bar=False, + clim=[0,1] + ) + + pl.add_mesh( + pvmesh, + style="wireframe", + edge_color="Black", + show_edges=True, + use_transparency=False, + opacity=1, + show_scalar_bar=False, + + ) + + pl.add_mesh(pvstream, cmap="Oranges") + + pl.add_arrows(pvmesh.points, pvmesh.point_data["V"], mag=float(10.0/Rayleigh_number.sym)) + + + pl.show(jupyter_backend='html') + +# %% +pvmesh.cell_centers() + +# %% + +# %% +0/0 + +# %% +# + +p_soln = uw.discretisation.MeshVariable("P", meshA, 1, degree=2) +v_soln = uw.discretisation.MeshVariable("U", meshA, meshA.dim, degree=1, continuous=True) + +darcy = uw.systems.SteadyStateDarcy(meshA, h_Field=p_soln, v_Field=v_soln) +darcy.constitutive_model = uw.constitutive_models.DarcyFlowModel +darcy.petsc_options.delValue("ksp_monitor") + +# ['fault_R', 'fault_B1', 'fault_B2', 'source', 'basement', 'layer_1', 'upper_fw', 'upper_hw']) + +darcy.constitutive_model.Parameters.permeability = sympy.Piecewise( + (10, sympy.Abs(cell_label.sym[0] - 0) < 0.1), # fault_R + (0.01, sympy.Abs(cell_label.sym[0] - 1) < 0.1), # fault_B1 + (10.0, sympy.Abs(cell_label.sym[0] - 2) < 0.1), # fault B2 + (10.0, sympy.Abs(cell_label.sym[0] - 3) < 0.1), # source region + (0.5, sympy.Abs(cell_label.sym[0] - 4) < 0.1), + (20.0, sympy.Abs(cell_label.sym[0] - 5) < 0.1), + (0.01, sympy.Abs(cell_label.sym[0] - 6) < 0.1), + (2.0, sympy.Abs(cell_label.sym[0] - 7) < 0.1), + (10.0, True)) + + +darcy.f = sympy.Piecewise((10.0, sympy.Abs(cell_label.sym[0] - 3) < 0.1), (0.0, True)) +darcy.constitutive_model.Parameters.s = sympy.Matrix([0, -1]).T + +darcy.tolerance = 1e-6 + +darcy.add_dirichlet_bc(0.0, "Top") + +darcy._v_projector.smoothing = 1.0e-6 + +# - + +darcy.petsc_options.setValue("snes_monitor", None) +darcy.solve(verbose=False) + +# %% +if uw.mpi.size == 1 and uw.is_notebook: + + import pyvista as pv + import underworld3.visualisation as vis + + pvmesh = vis.mesh_to_pv_mesh(meshA) + pvmesh.point_data["V"] = vis.vector_fn_to_pv_points(pvmesh, v_soln.sym) + pvmesh.point_data["P"] = vis.scalar_fn_to_pv_points(pvmesh, p_soln.sym) + pvmesh.cell_data["L"] = vis.scalar_fn_to_pv_points(pvmesh.cell_centers(), cell_label.sym[0]) + + velocity_points = vis.meshVariable_to_pv_cloud(v_soln) + velocity_points.point_data["V"] = vis.vector_fn_to_pv_points(velocity_points, v_soln.sym) + + # point sources at cell centres + + skip=10 + points = np.zeros((meshA._centroids[::skip].shape[0], 3)) + points[:, 0] = meshA._centroids[::skip, 0] + points[:, 1] = meshA._centroids[::skip, 1] + point_cloud = pv.PolyData(points[::3]) + + pvstream = pvmesh.streamlines_from_source( + point_cloud, + vectors="V", + integrator_type=45, + integration_direction="both", + max_steps=1000, + max_time=0.5, + surface_streamlines=True, + ) + + pl = pv.Plotter(window_size=(1600,800)) + + pl.add_mesh( + pvmesh, + cmap="coolwarm", + edge_color="Black", + show_edges=False, + scalars="P", + use_transparency=False, + opacity=0.75, + show_scalar_bar=True, + ) + + + # pl.add_arrows(velocity_points.points, velocity_points.point_data["V"], mag=0.01, opacity=0.5, show_scalar_bar=False) + pl.add_mesh(pvstream, line_width=1.0, show_scalar_bar=False) + + + pl.add_mesh( + pvmesh, + cmap="rainbow", + scalars="L", + edge_color="Black", + show_edges=False, + use_transparency=False, + opacity=0.3, + edge_opacity=0.1, + show_scalar_bar=False, + clim=[0,8] + ) + + + pl.add_mesh( + pvmesh, + style="wireframe", + edge_color="Black", + show_edges=True, + use_transparency=False, + opacity=0.3, + edge_opacity=0.1, + show_scalar_bar=False, + clim=[0,8] + ) + + + pl.show(cpos="xy", jupyter_backend="html") + + + + +# %% + +# %% +p_soln.clean_name + +# %% diff --git a/Notebooks/Examples-Meshing/ProfDiabloSilhouette.tiff b/Notebooks/Examples-Meshing/ProfDiabloSilhouette.tiff new file mode 100644 index 0000000000000000000000000000000000000000..055a333e1a81b21e30b33d7636f1f6c369afc8d8 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a/Notebooks/Examples-Stokes_Kernels/Ex_Stokes_Spherical_Kernels.py +++ b/Notebooks/Examples-Stokes_Kernels/Ex_Stokes_Spherical_Kernels.py @@ -299,14 +299,11 @@ pl.export_html("stokes_sphere_plot_96.html") # pl.show(cpos="xy", jupyter_backend="trame") +# - -# + from IPython.display import IFrame IFrame(src="./stokes_sphere_plot_96.html", width=750, height=750) -# - - - p_soln.stats()