1 static char help[] = "Test metric utils in the uniform, isotropic case.\n\n"; 2 3 #include <petscdmplex.h> 4 5 static PetscErrorCode bowl(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx) 6 { 7 PetscInt d; 8 9 *u = 0.0; 10 for (d = 0; d < dim; d++) *u += 0.5*(x[d] - 0.5)*(x[d] - 0.5); 11 12 return 0; 13 } 14 15 int main(int argc, char **argv) { 16 DM dm, dmDist, dmAdapt; 17 DMLabel bdLabel = NULL; 18 MPI_Comm comm; 19 PetscBool uniform = PETSC_FALSE, isotropic = PETSC_FALSE; 20 PetscErrorCode ierr; 21 PetscInt *faces, dim = 3, numEdges = 4, d; 22 PetscReal scaling = 1.0; 23 Vec metric; 24 25 /* Set up */ 26 ierr = PetscInitialize(&argc, &argv, NULL, help);if (ierr) return ierr; 27 comm = PETSC_COMM_WORLD; 28 ierr = PetscOptionsBegin(comm, "", "Mesh adaptation options", "DMPLEX");CHKERRQ(ierr); 29 ierr = PetscOptionsRangeInt("-dim", "The topological mesh dimension", "ex60.c", dim, &dim, NULL, 2, 3);CHKERRQ(ierr); 30 ierr = PetscOptionsInt("-num_edges", "Number of edges on each boundary of the initial mesh", "ex60.c", numEdges, &numEdges, NULL);CHKERRQ(ierr); 31 ierr = PetscOptionsBool("-uniform", "Should the metric be assumed uniform?", "ex60.c", uniform, &uniform, NULL);CHKERRQ(ierr); 32 ierr = PetscOptionsBool("-isotropic", "Should the metric be assumed isotropic, or computed as a recovered Hessian?", "ex60.c", isotropic, &isotropic, NULL);CHKERRQ(ierr); 33 ierr = PetscOptionsEnd(); 34 35 /* Create box mesh */ 36 ierr = PetscMalloc1(dim, &faces);CHKERRQ(ierr); 37 for (d = 0; d < dim; ++d) faces[d] = numEdges; 38 ierr = DMPlexCreateBoxMesh(comm, dim, PETSC_TRUE, faces, NULL, NULL, NULL, PETSC_TRUE, &dm);CHKERRQ(ierr); 39 ierr = PetscFree(faces);CHKERRQ(ierr); 40 ierr = DMSetFromOptions(dm);CHKERRQ(ierr); 41 42 /* Distribute mesh over processes */ 43 ierr = DMPlexDistribute(dm, 0, NULL, &dmDist);CHKERRQ(ierr); 44 if (dmDist) { 45 ierr = DMDestroy(&dm);CHKERRQ(ierr); 46 dm = dmDist; 47 } 48 ierr = PetscObjectSetName((PetscObject) dm, "DM_init");CHKERRQ(ierr); 49 ierr = DMViewFromOptions(dm, NULL, "-initial_mesh_view");CHKERRQ(ierr); 50 51 /* Construct metric */ 52 if (uniform) { 53 if (isotropic) { ierr = DMPlexMetricCreateUniform(dm, 0, scaling, &metric);CHKERRQ(ierr); } 54 else SETERRQ(comm, PETSC_ERR_ARG_WRONG, "Uniform anisotropic metrics not supported."); 55 } 56 else { 57 DM dmIndi; 58 PetscFE fe; 59 Vec indicator; 60 61 /* Construct "error indicator" */ 62 ierr = DMClone(dm, &dmIndi);CHKERRQ(ierr); 63 ierr = PetscFECreateLagrange(comm, dim, 1, PETSC_TRUE, 1, PETSC_DETERMINE, &fe);CHKERRQ(ierr); 64 ierr = DMAddField(dmIndi, NULL, (PetscObject)fe);CHKERRQ(ierr); 65 ierr = DMCreateDS(dmIndi);CHKERRQ(ierr); 66 ierr = PetscFEDestroy(&fe);CHKERRQ(ierr); 67 ierr = DMCreateLocalVector(dmIndi, &indicator);CHKERRQ(ierr); 68 if (isotropic) { 69 70 /* Isotropic case: just specify unity */ 71 ierr = VecSet(indicator, scaling);CHKERRQ(ierr); 72 ierr = DMPlexMetricCreateIsotropic(dm, 0, indicator, &metric);CHKERRQ(ierr); 73 74 } else { 75 76 /* 'Anisotropic' case: approximate the identity by recovering the Hessian of a parabola */ 77 DM dmGrad; 78 PetscErrorCode (*funcs[1])(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar*, void*) = {bowl}; 79 PetscInt pStart, pEnd, p; 80 PetscSection sec, secCoord; 81 Vec gradient; 82 83 /* Project the parabola into P1 space */ 84 ierr = DMProjectFunctionLocal(dmIndi, 0.0, funcs, NULL, INSERT_ALL_VALUES, indicator);CHKERRQ(ierr); 85 86 /* Approximate the gradient */ 87 ierr = DMClone(dmIndi, &dmGrad);CHKERRQ(ierr); 88 ierr = DMGetCoordinateSection(dmGrad, &secCoord);CHKERRQ(ierr); 89 ierr = PetscSectionCreate(PetscObjectComm((PetscObject) dmGrad), &sec);CHKERRQ(ierr); 90 ierr = PetscSectionSetNumFields(sec, 1);CHKERRQ(ierr); 91 ierr = PetscSectionSetFieldComponents(sec, 0, dim);CHKERRQ(ierr); 92 ierr = PetscSectionGetChart(secCoord, &pStart, &pEnd);CHKERRQ(ierr); 93 ierr = PetscSectionSetChart(sec, pStart, pEnd);CHKERRQ(ierr); 94 for (p = pStart; p < pEnd; ++p) { 95 ierr = PetscSectionSetDof(sec, p, dim);CHKERRQ(ierr); 96 ierr = PetscSectionSetFieldDof(sec, p, 0, dim);CHKERRQ(ierr); 97 } 98 ierr = PetscSectionSetUp(sec);CHKERRQ(ierr); 99 ierr = DMSetLocalSection(dmGrad, sec);CHKERRQ(ierr); 100 ierr = PetscSectionDestroy(&sec);CHKERRQ(ierr); 101 ierr = PetscFECreateLagrange(comm, dim, dim, PETSC_TRUE, 1, PETSC_DETERMINE, &fe);CHKERRQ(ierr); 102 ierr = DMClearFields(dmGrad);CHKERRQ(ierr); 103 ierr = DMAddField(dmGrad, NULL, (PetscObject)fe);CHKERRQ(ierr); 104 ierr = DMCreateDS(dmGrad);CHKERRQ(ierr); 105 ierr = PetscFEDestroy(&fe);CHKERRQ(ierr); 106 ierr = DMCreateLocalVector(dmGrad, &gradient);CHKERRQ(ierr); 107 ierr = DMPlexComputeGradientClementInterpolant(dmIndi, indicator, gradient);CHKERRQ(ierr); 108 ierr = VecViewFromOptions(gradient, NULL, "-adapt_gradient_view");CHKERRQ(ierr); 109 110 /* Approximate the Hessian */ 111 ierr = DMGetCoordinateSection(dm, &secCoord);CHKERRQ(ierr); 112 ierr = PetscSectionCreate(PetscObjectComm((PetscObject) dm), &sec);CHKERRQ(ierr); 113 ierr = PetscSectionSetNumFields(sec, 1);CHKERRQ(ierr); 114 ierr = PetscSectionSetFieldComponents(sec, 0, dim*dim);CHKERRQ(ierr); 115 ierr = PetscSectionGetChart(secCoord, &pStart, &pEnd);CHKERRQ(ierr); 116 ierr = PetscSectionSetChart(sec, pStart, pEnd);CHKERRQ(ierr); 117 for (p = pStart; p < pEnd; ++p) { 118 ierr = PetscSectionSetDof(sec, p, dim*dim);CHKERRQ(ierr); 119 ierr = PetscSectionSetFieldDof(sec, p, 0, dim*dim);CHKERRQ(ierr); 120 } 121 ierr = PetscSectionSetUp(sec);CHKERRQ(ierr); 122 ierr = DMSetLocalSection(dm, sec);CHKERRQ(ierr); 123 ierr = PetscSectionDestroy(&sec);CHKERRQ(ierr); 124 ierr = PetscFECreateLagrange(comm, dim, dim*dim, PETSC_TRUE, 1, PETSC_DETERMINE, &fe);CHKERRQ(ierr); 125 ierr = DMClearFields(dm);CHKERRQ(ierr); 126 ierr = DMAddField(dm, NULL, (PetscObject)fe);CHKERRQ(ierr); 127 ierr = DMCreateDS(dm);CHKERRQ(ierr); 128 ierr = PetscFEDestroy(&fe);CHKERRQ(ierr); 129 ierr = DMCreateLocalVector(dm, &metric);CHKERRQ(ierr); 130 ierr = DMPlexComputeGradientClementInterpolant(dmGrad, gradient, metric);CHKERRQ(ierr); 131 ierr = VecViewFromOptions(metric, NULL, "-adapt_hessian_view");CHKERRQ(ierr); 132 ierr = VecDestroy(&gradient);CHKERRQ(ierr); 133 ierr = DMDestroy(&dmGrad);CHKERRQ(ierr); 134 } 135 ierr = VecDestroy(&indicator);CHKERRQ(ierr); 136 ierr = DMDestroy(&dmIndi);CHKERRQ(ierr); 137 } 138 139 /* Test metric routines */ 140 { 141 PetscReal errornorm, norm, tol = 1.0e-10, weights[2] = {0.8, 0.2}; 142 Vec metric1, metric2, metricComb; 143 Vec metrics[2]; 144 145 ierr = VecDuplicate(metric, &metric1);CHKERRQ(ierr); 146 ierr = VecSet(metric1, 0);CHKERRQ(ierr); 147 ierr = VecAXPY(metric1, 0.625, metric);CHKERRQ(ierr); 148 ierr = VecDuplicate(metric, &metric2);CHKERRQ(ierr); 149 ierr = VecSet(metric2, 0);CHKERRQ(ierr); 150 ierr = VecAXPY(metric2, 2.5, metric);CHKERRQ(ierr); 151 metrics[0] = metric1; 152 metrics[1] = metric2; 153 154 /* Test metric average */ 155 ierr = DMPlexMetricAverage(dm, 2, weights, metrics, &metricComb);CHKERRQ(ierr); 156 ierr = VecAXPY(metricComb, -1, metric);CHKERRQ(ierr); 157 ierr = VecNorm(metric, NORM_2, &norm);CHKERRQ(ierr); 158 ierr = VecNorm(metricComb, NORM_2, &errornorm);CHKERRQ(ierr); 159 errornorm /= norm; 160 if (errornorm > tol) SETERRQ1(comm, PETSC_ERR_ARG_OUTOFRANGE, "Metric average test failed (L2 error %f)", errornorm); 161 ierr = VecDestroy(&metricComb);CHKERRQ(ierr); 162 163 /* Test metric intersection */ 164 if (isotropic) { 165 ierr = DMPlexMetricIntersection(dm, 2, metrics, &metricComb);CHKERRQ(ierr); 166 ierr = VecAXPY(metricComb, -1, metric1);CHKERRQ(ierr); 167 ierr = VecNorm(metricComb, NORM_2, &errornorm);CHKERRQ(ierr); 168 errornorm /= norm; 169 if (errornorm > tol) SETERRQ1(comm, PETSC_ERR_ARG_OUTOFRANGE, "Metric intersection test failed (L2 error %f)", errornorm); 170 } 171 ierr = VecDestroy(&metric2);CHKERRQ(ierr); 172 ierr = VecDestroy(&metricComb);CHKERRQ(ierr); 173 ierr = VecCopy(metric, metric1);CHKERRQ(ierr); 174 175 /* Test metric SPD enforcement */ 176 ierr = DMPlexMetricEnforceSPD(dm, PETSC_TRUE, PETSC_TRUE, metric);CHKERRQ(ierr); 177 if (isotropic) { 178 ierr = VecAXPY(metric1, -1, metric);CHKERRQ(ierr); 179 ierr = VecNorm(metric1, NORM_2, &errornorm);CHKERRQ(ierr); 180 errornorm /= norm; 181 if (errornorm > tol) SETERRQ1(comm, PETSC_ERR_ARG_OUTOFRANGE, "Metric SPD enforcement test failed (L2 error %f)", errornorm); 182 } 183 ierr = VecDestroy(&metric1);CHKERRQ(ierr); 184 185 /* Test metric normalization */ 186 ierr = DMPlexMetricNormalize(dm, metric, PETSC_TRUE, PETSC_TRUE, &metric1);CHKERRQ(ierr); 187 if (isotropic) { 188 PetscReal target; 189 190 ierr = DMPlexMetricGetTargetComplexity(dm, &target);CHKERRQ(ierr); 191 scaling = PetscPowReal(target, 2.0/dim); 192 ierr = DMPlexMetricCreateUniform(dm, 0, scaling, &metric2);CHKERRQ(ierr); 193 ierr = VecAXPY(metric2, -1, metric1);CHKERRQ(ierr); 194 ierr = VecNorm(metric2, NORM_2, &errornorm);CHKERRQ(ierr); 195 errornorm /= norm; 196 if (errornorm > tol) SETERRQ1(comm, PETSC_ERR_ARG_OUTOFRANGE, "Metric normalization test failed (L2 error %f)", errornorm); 197 } 198 ierr = VecCopy(metric1, metric);CHKERRQ(ierr); 199 ierr = VecDestroy(&metric2);CHKERRQ(ierr); 200 ierr = VecDestroy(&metric1);CHKERRQ(ierr); 201 } 202 203 /* Adapt the mesh */ 204 ierr = DMAdaptMetric(dm, metric, bdLabel, &dmAdapt);CHKERRQ(ierr); 205 ierr = PetscObjectSetName((PetscObject) dmAdapt, "DM_adapted");CHKERRQ(ierr); 206 ierr = VecDestroy(&metric);CHKERRQ(ierr); 207 ierr = DMViewFromOptions(dmAdapt, NULL, "-adapted_mesh_view");CHKERRQ(ierr); 208 209 /* Compare DMs */ 210 ierr = DMView(dm, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr); 211 ierr = DMView(dmAdapt, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr); 212 213 /* Clean up */ 214 ierr = DMDestroy(&dmAdapt);CHKERRQ(ierr); 215 ierr = DMDestroy(&dm);CHKERRQ(ierr); 216 ierr = PetscFinalize(); 217 return 0; 218 } 219 220 /*TEST 221 222 build: 223 requires: pragmatic 224 225 test: 226 suffix: uniform_2d 227 args: -dm_plex_metric_target_complexity 100 -dim 2 -uniform -isotropic 228 test: 229 suffix: uniform_3d 230 args: -dm_plex_metric_target_complexity 100 -dim 3 -uniform -isotropic 231 test: 232 suffix: iso_2d 233 args: -dm_plex_metric_target_complexity 100 -dim 2 -isotropic 234 test: 235 suffix: iso_3d 236 args: -dm_plex_metric_target_complexity 100 -dim 3 -isotropic 237 test: 238 suffix: hessian_2d 239 args: -dm_plex_metric_target_complexity 100 -dim 2 240 test: 241 suffix: hessian_3d 242 args: -dm_plex_metric_target_complexity 100 -dim 3 243 244 TEST*/ 245