Source code for sfepy.tests.test_refine_hanging

"""
Test continuity along a boundary with hanging nodes due to a mesh refinement.
"""
import os.path as op

import numpy as nm
import pytest

from sfepy.base.base import assert_, Struct
import sfepy.base.testing as tst

[docs] def eval_fun(ts, coors, mode, **kwargs): val = nm.sin(nm.sum(coors**2, axis=1) * nm.pi) val = val.reshape((coors.shape[0], 1, 1)) return val
def _gen_lines_2_4(bbox, eps): from sfepy.discrete.probes import LineProbe LineProbe.__base__.cache = Struct(name='probe_shared_evaluate_cache') n_point = 100 line0 = LineProbe([bbox[0, 0], -eps], [bbox[1, 0], -eps], n_point) line1 = LineProbe([bbox[0, 0], eps], [bbox[1, 0], eps], n_point) yield line0, line1 line0 = LineProbe([-eps, bbox[0, 1]], [-eps, bbox[1, 1]], n_point) line1 = LineProbe([eps, bbox[0, 1]], [eps, bbox[1, 1]], n_point) yield line0, line1 def _gen_grid_3_8(bbox, eps): from sfepy.discrete.probes import PointsProbe PointsProbe.__base__.cache = Struct(name='probe_shared_evaluate_cache') n_point = 100 px = nm.linspace(bbox[0, 0], bbox[1, 0], n_point) py = nm.linspace(bbox[0, 1], bbox[1, 1], n_point) pz = nm.linspace(bbox[0, 2], bbox[1, 2], n_point) # Test face substitutions. pps = nm.meshgrid(px, py, -eps) points0 = nm.array([ii.ravel() for ii in pps]).T pps = nm.meshgrid(px, py, eps) points1 = nm.array([ii.ravel() for ii in pps]).T grid0 = PointsProbe(points0) grid1 = PointsProbe(points1) yield grid0, grid1 pps = nm.meshgrid(px, -eps, pz) points0 = nm.array([ii.ravel() for ii in pps]).T pps = nm.meshgrid(px, eps, pz) points1 = nm.array([ii.ravel() for ii in pps]).T grid0 = PointsProbe(points0) grid1 = PointsProbe(points1) yield grid0, grid1 pps = nm.meshgrid(-eps, py, pz) points0 = nm.array([ii.ravel() for ii in pps]).T pps = nm.meshgrid(eps, py, pz) points1 = nm.array([ii.ravel() for ii in pps]).T grid0 = PointsProbe(points0) grid1 = PointsProbe(points1) yield grid0, grid1 # Test edge substitutions. pps = nm.meshgrid(px, -eps, -eps) points0 = nm.array([ii.ravel() for ii in pps]).T pps = nm.meshgrid(px, eps, eps) points1 = nm.array([ii.ravel() for ii in pps]).T grid0 = PointsProbe(points0) grid1 = PointsProbe(points1) yield grid0, grid1 pps = nm.meshgrid(-eps, py, -eps) points0 = nm.array([ii.ravel() for ii in pps]).T pps = nm.meshgrid(eps, py, eps) points1 = nm.array([ii.ravel() for ii in pps]).T grid0 = PointsProbe(points0) grid1 = PointsProbe(points1) yield grid0, grid1 pps = nm.meshgrid(-eps, -eps, pz) points0 = nm.array([ii.ravel() for ii in pps]).T pps = nm.meshgrid(eps, eps, pz) points1 = nm.array([ii.ravel() for ii in pps]).T grid0 = PointsProbe(points0) grid1 = PointsProbe(points1) yield grid0, grid1 def _build_filenames(output_dir, key, order, ip): return [op.join(output_dir, 'test_refine_hanging_lin_%s_%d_%d.vtk' % (key, order, ip)), op.join(output_dir, 'test_refine_hanging_%s_%d_%d.vtk' % (key, order, ip))]
[docs] @pytest.fixture(scope='module') def gels(): from sfepy.discrete.fem.geometry_element import GeometryElement gels = {} for key in ['2_4', '3_8']: gel = GeometryElement(key) gel.create_surface_facet() gels[key] = gel return gels
[docs] @pytest.mark.slow def test_continuity(gels, output_dir): from sfepy.base.base import Struct from sfepy.mesh.mesh_generators import gen_block_mesh from sfepy.discrete import FieldVariable from sfepy.discrete.fem import FEDomain, Field from sfepy.discrete.projections import make_l2_projection_data import sfepy.discrete.fem.refine_hanging as rh dims = [1.5, 2.0, 1.3] shape = [3, 3, 3] centre = [0.0, 0.0, 0.0] probe_gens = {'2_4' : _gen_lines_2_4, '3_8' : _gen_grid_3_8} ok = True for key, gel in gels.items(): probe_gen = probe_gens[key] perms = gel.get_conn_permutations() dim = gel.dim for io, order in enumerate(range(1, 4)): mesh00 = gen_block_mesh(dims[:dim], shape[:dim], centre[:dim], name='block') for ip, perm in enumerate(perms): tst.report('geometry: %s, order: %d, permutation: %d: %s' % (key, order, ip, perm)) mesh0 = mesh00.copy() conn = mesh0.cmesh.get_conn(dim, 0).indices conn = conn.reshape((mesh0.n_el, -1)) conn[-1, :] = conn[-1, perm] domain0 = FEDomain('d', mesh0) refine = nm.zeros(mesh0.n_el, dtype=nm.uint8) refine[:-1] = 1 subs = None domain, subs = rh.refine(domain0, refine, subs=subs) omega = domain.create_region('Omega', 'all') field = Field.from_args('fu', nm.float64, 1, omega, approx_order=order) field.substitute_dofs(subs) uvar = FieldVariable('u', 'parameter', field, primary_var_name='(set-to-None)') field.restore_dofs(store=True) field.substitute_dofs(subs=None, restore=True) make_l2_projection_data(uvar, eval_fun) field.restore_dofs() bbox = domain.get_mesh_bounding_box() eps = 1e-7 save = False for ii, (probe0, probe1) in enumerate(probe_gen(bbox, eps)): probe0.set_options(close_limit=0.0) probe1.set_options(close_limit=0.0) pars0, vals0 = probe0(uvar) pars1, vals1 = probe1(uvar) assert_(nm.allclose(pars0, pars1, atol=1e-14, rtol=0.0)) _ok = nm.allclose(vals0, vals1, atol=20.0 * eps, rtol=0.0) if not _ok: save = True tst.report('probe %d failed! (max. error: %e)' % (ii, nm.abs(vals0 - vals1).max())) ok = ok and _ok if (ip == 0) or save: out = uvar.create_output() filenames = _build_filenames(output_dir, key, order, ip) domain.mesh.write(filenames[0], out=out) linearization = Struct(kind='adaptive', min_level=0, max_level=4, eps=1e-2) out = uvar.create_output(linearization=linearization) val = out['u'] mesh = val.get('mesh', domain.mesh) mesh.write(filenames[1], out=out) assert_(ok)
[docs] def test_preserve_coarse_entities(output_dir): from sfepy.mesh.mesh_generators import gen_block_mesh from sfepy.discrete.fem import FEDomain import sfepy.discrete.fem.refine_hanging as rh dims = [1.5, 2.0] shape = [11, 11] centre = [0.0, 0.0] mesh0 = gen_block_mesh(dims, shape, centre, name='block') domain0 = FEDomain('d', mesh0) reg = domain0.create_region('surface', 'vertices of surface', 'facet', add_to_regions=False) cmesh0 = mesh0.cmesh cmesh0.vertex_groups[5::11] = 2 cmesh0.vertex_groups[reg.vertices] = 1 cmesh0.cell_groups[0] = 1 cmesh0.cell_groups[50:60] = 2 mesh0.write(op.join(output_dir, 'test_refine_hanging_ids0.vtk'), io='auto') refine = nm.zeros(mesh0.n_el, dtype=nm.uint8) refine[0:10] = 1 refine[5::10] = 1 domain, _, sub_cells = rh.refine(domain0, refine, subs=None, ret_sub_cells=True) domain.mesh.write(op.join(output_dir, 'test_refine_hanging_ids1.vtk'), io='auto') cmesh1 = domain.mesh.cmesh ii = nm.where(refine == 0)[0] conn0 = mesh0.get_conn('2_4') v0 = conn0[ii] conn1 = domain.mesh.get_conn('2_4') v1 = conn1[ii] ok = (v0 == v1).all() tst.report('coarse cells positions preserved:', ok) cgs0 = cmesh0.cell_groups[ii] cgs1 = cmesh1.cell_groups[ii] _ok = (cgs0 == cgs1).all() tst.report('coarse cells cell groups preserved:', _ok) ok = ok and _ok vgs0 = cmesh0.vertex_groups[v0] vgs1 = cmesh1.vertex_groups[v1] _ok = (vgs0 == vgs1).all() tst.report('coarse cells vertex groups preserved:', _ok) ok = ok and _ok ii = nm.where(refine == 1)[0] cgs0 = cmesh0.cell_groups[ii] cgs1 = cmesh1.cell_groups[sub_cells[:, 1:]] _ok = (cgs0[:, None] == cgs1).all() tst.report('refined cells cell groups preserved:', _ok) ok = ok and _ok assert_(ok)