1 #include <petsc/private/dmpleximpl.h> /*I "petscdmplex.h" I*/ 2 #include <petsc/private/snesimpl.h> /*I "petscsnes.h" I*/ 3 #include <petscds.h> 4 #include <petsc/private/petscimpl.h> 5 #include <petsc/private/petscfeimpl.h> 6 7 /************************** Interpolation *******************************/ 8 9 #undef __FUNCT__ 10 #define __FUNCT__ "DMSNESConvertPlex" 11 static PetscErrorCode DMSNESConvertPlex(DM dm, DM *plex, PetscBool copy) 12 { 13 PetscBool isPlex; 14 PetscErrorCode ierr; 15 16 PetscFunctionBegin; 17 ierr = PetscObjectTypeCompare((PetscObject) dm, DMPLEX, &isPlex);CHKERRQ(ierr); 18 if (isPlex) { 19 *plex = dm; 20 ierr = PetscObjectReference((PetscObject) dm);CHKERRQ(ierr); 21 } else { 22 ierr = PetscObjectQuery((PetscObject) dm, "dm_plex", (PetscObject *) plex);CHKERRQ(ierr); 23 if (!*plex) { 24 ierr = DMConvert(dm,DMPLEX,plex);CHKERRQ(ierr); 25 ierr = PetscObjectCompose((PetscObject) dm, "dm_plex", (PetscObject) *plex);CHKERRQ(ierr); 26 if (copy) { 27 PetscInt i; 28 PetscObject obj; 29 const char *comps[3] = {"A","dmAux","dmCh"}; 30 31 ierr = DMCopyDMSNES(dm, *plex);CHKERRQ(ierr); 32 for (i = 0; i < 3; i++) { 33 ierr = PetscObjectQuery((PetscObject) dm, comps[i], &obj);CHKERRQ(ierr); 34 ierr = PetscObjectCompose((PetscObject) *plex, comps[i], obj);CHKERRQ(ierr); 35 } 36 } 37 } else { 38 ierr = PetscObjectReference((PetscObject) *plex);CHKERRQ(ierr); 39 } 40 } 41 PetscFunctionReturn(0); 42 } 43 44 #undef __FUNCT__ 45 #define __FUNCT__ "DMInterpolationCreate" 46 PetscErrorCode DMInterpolationCreate(MPI_Comm comm, DMInterpolationInfo *ctx) 47 { 48 PetscErrorCode ierr; 49 50 PetscFunctionBegin; 51 PetscValidPointer(ctx, 2); 52 ierr = PetscMalloc(sizeof(struct _DMInterpolationInfo), ctx);CHKERRQ(ierr); 53 54 (*ctx)->comm = comm; 55 (*ctx)->dim = -1; 56 (*ctx)->nInput = 0; 57 (*ctx)->points = NULL; 58 (*ctx)->cells = NULL; 59 (*ctx)->n = -1; 60 (*ctx)->coords = NULL; 61 PetscFunctionReturn(0); 62 } 63 64 #undef __FUNCT__ 65 #define __FUNCT__ "DMInterpolationSetDim" 66 PetscErrorCode DMInterpolationSetDim(DMInterpolationInfo ctx, PetscInt dim) 67 { 68 PetscFunctionBegin; 69 if ((dim < 1) || (dim > 3)) SETERRQ1(ctx->comm, PETSC_ERR_ARG_OUTOFRANGE, "Invalid dimension for points: %d", dim); 70 ctx->dim = dim; 71 PetscFunctionReturn(0); 72 } 73 74 #undef __FUNCT__ 75 #define __FUNCT__ "DMInterpolationGetDim" 76 PetscErrorCode DMInterpolationGetDim(DMInterpolationInfo ctx, PetscInt *dim) 77 { 78 PetscFunctionBegin; 79 PetscValidIntPointer(dim, 2); 80 *dim = ctx->dim; 81 PetscFunctionReturn(0); 82 } 83 84 #undef __FUNCT__ 85 #define __FUNCT__ "DMInterpolationSetDof" 86 PetscErrorCode DMInterpolationSetDof(DMInterpolationInfo ctx, PetscInt dof) 87 { 88 PetscFunctionBegin; 89 if (dof < 1) SETERRQ1(ctx->comm, PETSC_ERR_ARG_OUTOFRANGE, "Invalid number of components: %d", dof); 90 ctx->dof = dof; 91 PetscFunctionReturn(0); 92 } 93 94 #undef __FUNCT__ 95 #define __FUNCT__ "DMInterpolationGetDof" 96 PetscErrorCode DMInterpolationGetDof(DMInterpolationInfo ctx, PetscInt *dof) 97 { 98 PetscFunctionBegin; 99 PetscValidIntPointer(dof, 2); 100 *dof = ctx->dof; 101 PetscFunctionReturn(0); 102 } 103 104 #undef __FUNCT__ 105 #define __FUNCT__ "DMInterpolationAddPoints" 106 PetscErrorCode DMInterpolationAddPoints(DMInterpolationInfo ctx, PetscInt n, PetscReal points[]) 107 { 108 PetscErrorCode ierr; 109 110 PetscFunctionBegin; 111 if (ctx->dim < 0) SETERRQ(ctx->comm, PETSC_ERR_ARG_WRONGSTATE, "The spatial dimension has not been set"); 112 if (ctx->points) SETERRQ(ctx->comm, PETSC_ERR_ARG_WRONGSTATE, "Cannot add points multiple times yet"); 113 ctx->nInput = n; 114 115 ierr = PetscMalloc1(n*ctx->dim, &ctx->points);CHKERRQ(ierr); 116 ierr = PetscMemcpy(ctx->points, points, n*ctx->dim * sizeof(PetscReal));CHKERRQ(ierr); 117 PetscFunctionReturn(0); 118 } 119 120 #undef __FUNCT__ 121 #define __FUNCT__ "DMInterpolationSetUp" 122 PetscErrorCode DMInterpolationSetUp(DMInterpolationInfo ctx, DM dm, PetscBool redundantPoints) 123 { 124 MPI_Comm comm = ctx->comm; 125 PetscScalar *a; 126 PetscInt p, q, i; 127 PetscMPIInt rank, size; 128 PetscErrorCode ierr; 129 Vec pointVec; 130 IS cellIS; 131 PetscLayout layout; 132 PetscReal *globalPoints; 133 PetscScalar *globalPointsScalar; 134 const PetscInt *ranges; 135 PetscMPIInt *counts, *displs; 136 const PetscInt *foundCells; 137 PetscMPIInt *foundProcs, *globalProcs; 138 PetscInt n, N; 139 140 PetscFunctionBegin; 141 PetscValidHeaderSpecific(dm, DM_CLASSID, 1); 142 ierr = MPI_Comm_size(comm, &size);CHKERRQ(ierr); 143 ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr); 144 if (ctx->dim < 0) SETERRQ(comm, PETSC_ERR_ARG_WRONGSTATE, "The spatial dimension has not been set"); 145 /* Locate points */ 146 n = ctx->nInput; 147 if (!redundantPoints) { 148 ierr = PetscLayoutCreate(comm, &layout);CHKERRQ(ierr); 149 ierr = PetscLayoutSetBlockSize(layout, 1);CHKERRQ(ierr); 150 ierr = PetscLayoutSetLocalSize(layout, n);CHKERRQ(ierr); 151 ierr = PetscLayoutSetUp(layout);CHKERRQ(ierr); 152 ierr = PetscLayoutGetSize(layout, &N);CHKERRQ(ierr); 153 /* Communicate all points to all processes */ 154 ierr = PetscMalloc3(N*ctx->dim,&globalPoints,size,&counts,size,&displs);CHKERRQ(ierr); 155 ierr = PetscLayoutGetRanges(layout, &ranges);CHKERRQ(ierr); 156 for (p = 0; p < size; ++p) { 157 counts[p] = (ranges[p+1] - ranges[p])*ctx->dim; 158 displs[p] = ranges[p]*ctx->dim; 159 } 160 ierr = MPI_Allgatherv(ctx->points, n*ctx->dim, MPIU_REAL, globalPoints, counts, displs, MPIU_REAL, comm);CHKERRQ(ierr); 161 } else { 162 N = n; 163 globalPoints = ctx->points; 164 counts = displs = NULL; 165 layout = NULL; 166 } 167 #if 0 168 ierr = PetscMalloc3(N,&foundCells,N,&foundProcs,N,&globalProcs);CHKERRQ(ierr); 169 /* foundCells[p] = m->locatePoint(&globalPoints[p*ctx->dim]); */ 170 #else 171 #if defined(PETSC_USE_COMPLEX) 172 ierr = PetscMalloc1(N,&globalPointsScalar);CHKERRQ(ierr); 173 for (i=0; i<N; i++) globalPointsScalar[i] = globalPoints[i]; 174 #else 175 globalPointsScalar = globalPoints; 176 #endif 177 ierr = VecCreateSeqWithArray(PETSC_COMM_SELF, ctx->dim, N*ctx->dim, globalPointsScalar, &pointVec);CHKERRQ(ierr); 178 ierr = PetscMalloc2(N,&foundProcs,N,&globalProcs);CHKERRQ(ierr); 179 ierr = DMLocatePoints(dm, pointVec, &cellIS);CHKERRQ(ierr); 180 ierr = ISGetIndices(cellIS, &foundCells);CHKERRQ(ierr); 181 #endif 182 for (p = 0; p < N; ++p) { 183 if (foundCells[p] >= 0) foundProcs[p] = rank; 184 else foundProcs[p] = size; 185 } 186 /* Let the lowest rank process own each point */ 187 ierr = MPIU_Allreduce(foundProcs, globalProcs, N, MPI_INT, MPI_MIN, comm);CHKERRQ(ierr); 188 ctx->n = 0; 189 for (p = 0; p < N; ++p) { 190 if (globalProcs[p] == size) SETERRQ4(comm, PETSC_ERR_PLIB, "Point %d: %g %g %g not located in mesh", p, globalPoints[p*ctx->dim+0], ctx->dim > 1 ? globalPoints[p*ctx->dim+1] : 0.0, ctx->dim > 2 ? globalPoints[p*ctx->dim+2] : 0.0); 191 else if (globalProcs[p] == rank) ctx->n++; 192 } 193 /* Create coordinates vector and array of owned cells */ 194 ierr = PetscMalloc1(ctx->n, &ctx->cells);CHKERRQ(ierr); 195 ierr = VecCreate(comm, &ctx->coords);CHKERRQ(ierr); 196 ierr = VecSetSizes(ctx->coords, ctx->n*ctx->dim, PETSC_DECIDE);CHKERRQ(ierr); 197 ierr = VecSetBlockSize(ctx->coords, ctx->dim);CHKERRQ(ierr); 198 ierr = VecSetType(ctx->coords,VECSTANDARD);CHKERRQ(ierr); 199 ierr = VecGetArray(ctx->coords, &a);CHKERRQ(ierr); 200 for (p = 0, q = 0, i = 0; p < N; ++p) { 201 if (globalProcs[p] == rank) { 202 PetscInt d; 203 204 for (d = 0; d < ctx->dim; ++d, ++i) a[i] = globalPoints[p*ctx->dim+d]; 205 ctx->cells[q++] = foundCells[p]; 206 } 207 } 208 ierr = VecRestoreArray(ctx->coords, &a);CHKERRQ(ierr); 209 #if 0 210 ierr = PetscFree3(foundCells,foundProcs,globalProcs);CHKERRQ(ierr); 211 #else 212 ierr = PetscFree2(foundProcs,globalProcs);CHKERRQ(ierr); 213 ierr = ISRestoreIndices(cellIS, &foundCells);CHKERRQ(ierr); 214 ierr = ISDestroy(&cellIS);CHKERRQ(ierr); 215 ierr = VecDestroy(&pointVec);CHKERRQ(ierr); 216 #endif 217 if ((void*)globalPointsScalar != (void*)globalPoints) {ierr = PetscFree(globalPointsScalar);CHKERRQ(ierr);} 218 if (!redundantPoints) {ierr = PetscFree3(globalPoints,counts,displs);CHKERRQ(ierr);} 219 ierr = PetscLayoutDestroy(&layout);CHKERRQ(ierr); 220 PetscFunctionReturn(0); 221 } 222 223 #undef __FUNCT__ 224 #define __FUNCT__ "DMInterpolationGetCoordinates" 225 PetscErrorCode DMInterpolationGetCoordinates(DMInterpolationInfo ctx, Vec *coordinates) 226 { 227 PetscFunctionBegin; 228 PetscValidPointer(coordinates, 2); 229 if (!ctx->coords) SETERRQ(ctx->comm, PETSC_ERR_ARG_WRONGSTATE, "The interpolation context has not been setup."); 230 *coordinates = ctx->coords; 231 PetscFunctionReturn(0); 232 } 233 234 #undef __FUNCT__ 235 #define __FUNCT__ "DMInterpolationGetVector" 236 PetscErrorCode DMInterpolationGetVector(DMInterpolationInfo ctx, Vec *v) 237 { 238 PetscErrorCode ierr; 239 240 PetscFunctionBegin; 241 PetscValidPointer(v, 2); 242 if (!ctx->coords) SETERRQ(ctx->comm, PETSC_ERR_ARG_WRONGSTATE, "The interpolation context has not been setup."); 243 ierr = VecCreate(ctx->comm, v);CHKERRQ(ierr); 244 ierr = VecSetSizes(*v, ctx->n*ctx->dof, PETSC_DECIDE);CHKERRQ(ierr); 245 ierr = VecSetBlockSize(*v, ctx->dof);CHKERRQ(ierr); 246 ierr = VecSetType(*v,VECSTANDARD);CHKERRQ(ierr); 247 PetscFunctionReturn(0); 248 } 249 250 #undef __FUNCT__ 251 #define __FUNCT__ "DMInterpolationRestoreVector" 252 PetscErrorCode DMInterpolationRestoreVector(DMInterpolationInfo ctx, Vec *v) 253 { 254 PetscErrorCode ierr; 255 256 PetscFunctionBegin; 257 PetscValidPointer(v, 2); 258 if (!ctx->coords) SETERRQ(ctx->comm, PETSC_ERR_ARG_WRONGSTATE, "The interpolation context has not been setup."); 259 ierr = VecDestroy(v);CHKERRQ(ierr); 260 PetscFunctionReturn(0); 261 } 262 263 #undef __FUNCT__ 264 #define __FUNCT__ "DMInterpolate_Triangle_Private" 265 PETSC_STATIC_INLINE PetscErrorCode DMInterpolate_Triangle_Private(DMInterpolationInfo ctx, DM dm, Vec xLocal, Vec v) 266 { 267 PetscReal *v0, *J, *invJ, detJ; 268 const PetscScalar *coords; 269 PetscScalar *a; 270 PetscInt p; 271 PetscErrorCode ierr; 272 273 PetscFunctionBegin; 274 ierr = PetscMalloc3(ctx->dim,&v0,ctx->dim*ctx->dim,&J,ctx->dim*ctx->dim,&invJ);CHKERRQ(ierr); 275 ierr = VecGetArrayRead(ctx->coords, &coords);CHKERRQ(ierr); 276 ierr = VecGetArray(v, &a);CHKERRQ(ierr); 277 for (p = 0; p < ctx->n; ++p) { 278 PetscInt c = ctx->cells[p]; 279 PetscScalar *x = NULL; 280 PetscReal xi[4]; 281 PetscInt d, f, comp; 282 283 ierr = DMPlexComputeCellGeometryFEM(dm, c, NULL, v0, J, invJ, &detJ);CHKERRQ(ierr); 284 if (detJ <= 0.0) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %d", detJ, c); 285 ierr = DMPlexVecGetClosure(dm, NULL, xLocal, c, NULL, &x);CHKERRQ(ierr); 286 for (comp = 0; comp < ctx->dof; ++comp) a[p*ctx->dof+comp] = x[0*ctx->dof+comp]; 287 288 for (d = 0; d < ctx->dim; ++d) { 289 xi[d] = 0.0; 290 for (f = 0; f < ctx->dim; ++f) xi[d] += invJ[d*ctx->dim+f]*0.5*PetscRealPart(coords[p*ctx->dim+f] - v0[f]); 291 for (comp = 0; comp < ctx->dof; ++comp) a[p*ctx->dof+comp] += PetscRealPart(x[(d+1)*ctx->dof+comp] - x[0*ctx->dof+comp])*xi[d]; 292 } 293 ierr = DMPlexVecRestoreClosure(dm, NULL, xLocal, c, NULL, &x);CHKERRQ(ierr); 294 } 295 ierr = VecRestoreArray(v, &a);CHKERRQ(ierr); 296 ierr = VecRestoreArrayRead(ctx->coords, &coords);CHKERRQ(ierr); 297 ierr = PetscFree3(v0, J, invJ);CHKERRQ(ierr); 298 PetscFunctionReturn(0); 299 } 300 301 #undef __FUNCT__ 302 #define __FUNCT__ "DMInterpolate_Tetrahedron_Private" 303 PETSC_STATIC_INLINE PetscErrorCode DMInterpolate_Tetrahedron_Private(DMInterpolationInfo ctx, DM dm, Vec xLocal, Vec v) 304 { 305 PetscReal *v0, *J, *invJ, detJ; 306 const PetscScalar *coords; 307 PetscScalar *a; 308 PetscInt p; 309 PetscErrorCode ierr; 310 311 PetscFunctionBegin; 312 ierr = PetscMalloc3(ctx->dim,&v0,ctx->dim*ctx->dim,&J,ctx->dim*ctx->dim,&invJ);CHKERRQ(ierr); 313 ierr = VecGetArrayRead(ctx->coords, &coords);CHKERRQ(ierr); 314 ierr = VecGetArray(v, &a);CHKERRQ(ierr); 315 for (p = 0; p < ctx->n; ++p) { 316 PetscInt c = ctx->cells[p]; 317 const PetscInt order[3] = {2, 1, 3}; 318 PetscScalar *x = NULL; 319 PetscReal xi[4]; 320 PetscInt d, f, comp; 321 322 ierr = DMPlexComputeCellGeometryFEM(dm, c, NULL, v0, J, invJ, &detJ);CHKERRQ(ierr); 323 if (detJ <= 0.0) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %d", detJ, c); 324 ierr = DMPlexVecGetClosure(dm, NULL, xLocal, c, NULL, &x);CHKERRQ(ierr); 325 for (comp = 0; comp < ctx->dof; ++comp) a[p*ctx->dof+comp] = x[0*ctx->dof+comp]; 326 327 for (d = 0; d < ctx->dim; ++d) { 328 xi[d] = 0.0; 329 for (f = 0; f < ctx->dim; ++f) xi[d] += invJ[d*ctx->dim+f]*0.5*PetscRealPart(coords[p*ctx->dim+f] - v0[f]); 330 for (comp = 0; comp < ctx->dof; ++comp) a[p*ctx->dof+comp] += PetscRealPart(x[order[d]*ctx->dof+comp] - x[0*ctx->dof+comp])*xi[d]; 331 } 332 ierr = DMPlexVecRestoreClosure(dm, NULL, xLocal, c, NULL, &x);CHKERRQ(ierr); 333 } 334 ierr = VecRestoreArray(v, &a);CHKERRQ(ierr); 335 ierr = VecRestoreArrayRead(ctx->coords, &coords);CHKERRQ(ierr); 336 ierr = PetscFree3(v0, J, invJ);CHKERRQ(ierr); 337 PetscFunctionReturn(0); 338 } 339 340 #undef __FUNCT__ 341 #define __FUNCT__ "QuadMap_Private" 342 PETSC_STATIC_INLINE PetscErrorCode QuadMap_Private(SNES snes, Vec Xref, Vec Xreal, void *ctx) 343 { 344 const PetscScalar *vertices = (const PetscScalar*) ctx; 345 const PetscScalar x0 = vertices[0]; 346 const PetscScalar y0 = vertices[1]; 347 const PetscScalar x1 = vertices[2]; 348 const PetscScalar y1 = vertices[3]; 349 const PetscScalar x2 = vertices[4]; 350 const PetscScalar y2 = vertices[5]; 351 const PetscScalar x3 = vertices[6]; 352 const PetscScalar y3 = vertices[7]; 353 const PetscScalar f_1 = x1 - x0; 354 const PetscScalar g_1 = y1 - y0; 355 const PetscScalar f_3 = x3 - x0; 356 const PetscScalar g_3 = y3 - y0; 357 const PetscScalar f_01 = x2 - x1 - x3 + x0; 358 const PetscScalar g_01 = y2 - y1 - y3 + y0; 359 const PetscScalar *ref; 360 PetscScalar *real; 361 PetscErrorCode ierr; 362 363 PetscFunctionBegin; 364 ierr = VecGetArrayRead(Xref, &ref);CHKERRQ(ierr); 365 ierr = VecGetArray(Xreal, &real);CHKERRQ(ierr); 366 { 367 const PetscScalar p0 = ref[0]; 368 const PetscScalar p1 = ref[1]; 369 370 real[0] = x0 + f_1 * p0 + f_3 * p1 + f_01 * p0 * p1; 371 real[1] = y0 + g_1 * p0 + g_3 * p1 + g_01 * p0 * p1; 372 } 373 ierr = PetscLogFlops(28);CHKERRQ(ierr); 374 ierr = VecRestoreArrayRead(Xref, &ref);CHKERRQ(ierr); 375 ierr = VecRestoreArray(Xreal, &real);CHKERRQ(ierr); 376 PetscFunctionReturn(0); 377 } 378 379 #include <petsc/private/dmimpl.h> 380 #undef __FUNCT__ 381 #define __FUNCT__ "QuadJacobian_Private" 382 PETSC_STATIC_INLINE PetscErrorCode QuadJacobian_Private(SNES snes, Vec Xref, Mat J, Mat M, void *ctx) 383 { 384 const PetscScalar *vertices = (const PetscScalar*) ctx; 385 const PetscScalar x0 = vertices[0]; 386 const PetscScalar y0 = vertices[1]; 387 const PetscScalar x1 = vertices[2]; 388 const PetscScalar y1 = vertices[3]; 389 const PetscScalar x2 = vertices[4]; 390 const PetscScalar y2 = vertices[5]; 391 const PetscScalar x3 = vertices[6]; 392 const PetscScalar y3 = vertices[7]; 393 const PetscScalar f_01 = x2 - x1 - x3 + x0; 394 const PetscScalar g_01 = y2 - y1 - y3 + y0; 395 const PetscScalar *ref; 396 PetscErrorCode ierr; 397 398 PetscFunctionBegin; 399 ierr = VecGetArrayRead(Xref, &ref);CHKERRQ(ierr); 400 { 401 const PetscScalar x = ref[0]; 402 const PetscScalar y = ref[1]; 403 const PetscInt rows[2] = {0, 1}; 404 PetscScalar values[4]; 405 406 values[0] = (x1 - x0 + f_01*y) * 0.5; values[1] = (x3 - x0 + f_01*x) * 0.5; 407 values[2] = (y1 - y0 + g_01*y) * 0.5; values[3] = (y3 - y0 + g_01*x) * 0.5; 408 ierr = MatSetValues(J, 2, rows, 2, rows, values, INSERT_VALUES);CHKERRQ(ierr); 409 } 410 ierr = PetscLogFlops(30);CHKERRQ(ierr); 411 ierr = VecRestoreArrayRead(Xref, &ref);CHKERRQ(ierr); 412 ierr = MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 413 ierr = MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 414 PetscFunctionReturn(0); 415 } 416 417 #undef __FUNCT__ 418 #define __FUNCT__ "DMInterpolate_Quad_Private" 419 PETSC_STATIC_INLINE PetscErrorCode DMInterpolate_Quad_Private(DMInterpolationInfo ctx, DM dm, Vec xLocal, Vec v) 420 { 421 DM dmCoord; 422 SNES snes; 423 KSP ksp; 424 PC pc; 425 Vec coordsLocal, r, ref, real; 426 Mat J; 427 const PetscScalar *coords; 428 PetscScalar *a; 429 PetscInt p; 430 PetscErrorCode ierr; 431 432 PetscFunctionBegin; 433 ierr = DMGetCoordinatesLocal(dm, &coordsLocal);CHKERRQ(ierr); 434 ierr = DMGetCoordinateDM(dm, &dmCoord);CHKERRQ(ierr); 435 ierr = SNESCreate(PETSC_COMM_SELF, &snes);CHKERRQ(ierr); 436 ierr = SNESSetOptionsPrefix(snes, "quad_interp_");CHKERRQ(ierr); 437 ierr = VecCreate(PETSC_COMM_SELF, &r);CHKERRQ(ierr); 438 ierr = VecSetSizes(r, 2, 2);CHKERRQ(ierr); 439 ierr = VecSetType(r,dm->vectype);CHKERRQ(ierr); 440 ierr = VecDuplicate(r, &ref);CHKERRQ(ierr); 441 ierr = VecDuplicate(r, &real);CHKERRQ(ierr); 442 ierr = MatCreate(PETSC_COMM_SELF, &J);CHKERRQ(ierr); 443 ierr = MatSetSizes(J, 2, 2, 2, 2);CHKERRQ(ierr); 444 ierr = MatSetType(J, MATSEQDENSE);CHKERRQ(ierr); 445 ierr = MatSetUp(J);CHKERRQ(ierr); 446 ierr = SNESSetFunction(snes, r, QuadMap_Private, NULL);CHKERRQ(ierr); 447 ierr = SNESSetJacobian(snes, J, J, QuadJacobian_Private, NULL);CHKERRQ(ierr); 448 ierr = SNESGetKSP(snes, &ksp);CHKERRQ(ierr); 449 ierr = KSPGetPC(ksp, &pc);CHKERRQ(ierr); 450 ierr = PCSetType(pc, PCLU);CHKERRQ(ierr); 451 ierr = SNESSetFromOptions(snes);CHKERRQ(ierr); 452 453 ierr = VecGetArrayRead(ctx->coords, &coords);CHKERRQ(ierr); 454 ierr = VecGetArray(v, &a);CHKERRQ(ierr); 455 for (p = 0; p < ctx->n; ++p) { 456 PetscScalar *x = NULL, *vertices = NULL; 457 PetscScalar *xi; 458 PetscReal xir[2]; 459 PetscInt c = ctx->cells[p], comp, coordSize, xSize; 460 461 /* Can make this do all points at once */ 462 ierr = DMPlexVecGetClosure(dmCoord, NULL, coordsLocal, c, &coordSize, &vertices);CHKERRQ(ierr); 463 if (4*2 != coordSize) SETERRQ2(ctx->comm, PETSC_ERR_ARG_SIZ, "Invalid closure size %d should be %d", coordSize, 4*2); 464 ierr = DMPlexVecGetClosure(dm, NULL, xLocal, c, &xSize, &x);CHKERRQ(ierr); 465 if (4*ctx->dof != xSize) SETERRQ2(ctx->comm, PETSC_ERR_ARG_SIZ, "Invalid closure size %d should be %d", xSize, 4*ctx->dof); 466 ierr = SNESSetFunction(snes, NULL, NULL, (void*) vertices);CHKERRQ(ierr); 467 ierr = SNESSetJacobian(snes, NULL, NULL, NULL, (void*) vertices);CHKERRQ(ierr); 468 ierr = VecGetArray(real, &xi);CHKERRQ(ierr); 469 xi[0] = coords[p*ctx->dim+0]; 470 xi[1] = coords[p*ctx->dim+1]; 471 ierr = VecRestoreArray(real, &xi);CHKERRQ(ierr); 472 ierr = SNESSolve(snes, real, ref);CHKERRQ(ierr); 473 ierr = VecGetArray(ref, &xi);CHKERRQ(ierr); 474 xir[0] = PetscRealPart(xi[0]); 475 xir[1] = PetscRealPart(xi[1]); 476 for (comp = 0; comp < ctx->dof; ++comp) a[p*ctx->dof+comp] = x[0*ctx->dof+comp]*(1 - xir[0])*(1 - xir[1]) + x[1*ctx->dof+comp]*xir[0]*(1 - xir[1]) + x[2*ctx->dof+comp]*xir[0]*xir[1] + x[3*ctx->dof+comp]*(1 - xir[0])*xir[1]; 477 478 ierr = VecRestoreArray(ref, &xi);CHKERRQ(ierr); 479 ierr = DMPlexVecRestoreClosure(dmCoord, NULL, coordsLocal, c, &coordSize, &vertices);CHKERRQ(ierr); 480 ierr = DMPlexVecRestoreClosure(dm, NULL, xLocal, c, &xSize, &x);CHKERRQ(ierr); 481 } 482 ierr = VecRestoreArray(v, &a);CHKERRQ(ierr); 483 ierr = VecRestoreArrayRead(ctx->coords, &coords);CHKERRQ(ierr); 484 485 ierr = SNESDestroy(&snes);CHKERRQ(ierr); 486 ierr = VecDestroy(&r);CHKERRQ(ierr); 487 ierr = VecDestroy(&ref);CHKERRQ(ierr); 488 ierr = VecDestroy(&real);CHKERRQ(ierr); 489 ierr = MatDestroy(&J);CHKERRQ(ierr); 490 PetscFunctionReturn(0); 491 } 492 493 #undef __FUNCT__ 494 #define __FUNCT__ "HexMap_Private" 495 PETSC_STATIC_INLINE PetscErrorCode HexMap_Private(SNES snes, Vec Xref, Vec Xreal, void *ctx) 496 { 497 const PetscScalar *vertices = (const PetscScalar*) ctx; 498 const PetscScalar x0 = vertices[0]; 499 const PetscScalar y0 = vertices[1]; 500 const PetscScalar z0 = vertices[2]; 501 const PetscScalar x1 = vertices[9]; 502 const PetscScalar y1 = vertices[10]; 503 const PetscScalar z1 = vertices[11]; 504 const PetscScalar x2 = vertices[6]; 505 const PetscScalar y2 = vertices[7]; 506 const PetscScalar z2 = vertices[8]; 507 const PetscScalar x3 = vertices[3]; 508 const PetscScalar y3 = vertices[4]; 509 const PetscScalar z3 = vertices[5]; 510 const PetscScalar x4 = vertices[12]; 511 const PetscScalar y4 = vertices[13]; 512 const PetscScalar z4 = vertices[14]; 513 const PetscScalar x5 = vertices[15]; 514 const PetscScalar y5 = vertices[16]; 515 const PetscScalar z5 = vertices[17]; 516 const PetscScalar x6 = vertices[18]; 517 const PetscScalar y6 = vertices[19]; 518 const PetscScalar z6 = vertices[20]; 519 const PetscScalar x7 = vertices[21]; 520 const PetscScalar y7 = vertices[22]; 521 const PetscScalar z7 = vertices[23]; 522 const PetscScalar f_1 = x1 - x0; 523 const PetscScalar g_1 = y1 - y0; 524 const PetscScalar h_1 = z1 - z0; 525 const PetscScalar f_3 = x3 - x0; 526 const PetscScalar g_3 = y3 - y0; 527 const PetscScalar h_3 = z3 - z0; 528 const PetscScalar f_4 = x4 - x0; 529 const PetscScalar g_4 = y4 - y0; 530 const PetscScalar h_4 = z4 - z0; 531 const PetscScalar f_01 = x2 - x1 - x3 + x0; 532 const PetscScalar g_01 = y2 - y1 - y3 + y0; 533 const PetscScalar h_01 = z2 - z1 - z3 + z0; 534 const PetscScalar f_12 = x7 - x3 - x4 + x0; 535 const PetscScalar g_12 = y7 - y3 - y4 + y0; 536 const PetscScalar h_12 = z7 - z3 - z4 + z0; 537 const PetscScalar f_02 = x5 - x1 - x4 + x0; 538 const PetscScalar g_02 = y5 - y1 - y4 + y0; 539 const PetscScalar h_02 = z5 - z1 - z4 + z0; 540 const PetscScalar f_012 = x6 - x0 + x1 - x2 + x3 + x4 - x5 - x7; 541 const PetscScalar g_012 = y6 - y0 + y1 - y2 + y3 + y4 - y5 - y7; 542 const PetscScalar h_012 = z6 - z0 + z1 - z2 + z3 + z4 - z5 - z7; 543 const PetscScalar *ref; 544 PetscScalar *real; 545 PetscErrorCode ierr; 546 547 PetscFunctionBegin; 548 ierr = VecGetArrayRead(Xref, &ref);CHKERRQ(ierr); 549 ierr = VecGetArray(Xreal, &real);CHKERRQ(ierr); 550 { 551 const PetscScalar p0 = ref[0]; 552 const PetscScalar p1 = ref[1]; 553 const PetscScalar p2 = ref[2]; 554 555 real[0] = x0 + f_1*p0 + f_3*p1 + f_4*p2 + f_01*p0*p1 + f_12*p1*p2 + f_02*p0*p2 + f_012*p0*p1*p2; 556 real[1] = y0 + g_1*p0 + g_3*p1 + g_4*p2 + g_01*p0*p1 + g_01*p0*p1 + g_12*p1*p2 + g_02*p0*p2 + g_012*p0*p1*p2; 557 real[2] = z0 + h_1*p0 + h_3*p1 + h_4*p2 + h_01*p0*p1 + h_01*p0*p1 + h_12*p1*p2 + h_02*p0*p2 + h_012*p0*p1*p2; 558 } 559 ierr = PetscLogFlops(114);CHKERRQ(ierr); 560 ierr = VecRestoreArrayRead(Xref, &ref);CHKERRQ(ierr); 561 ierr = VecRestoreArray(Xreal, &real);CHKERRQ(ierr); 562 PetscFunctionReturn(0); 563 } 564 565 #undef __FUNCT__ 566 #define __FUNCT__ "HexJacobian_Private" 567 PETSC_STATIC_INLINE PetscErrorCode HexJacobian_Private(SNES snes, Vec Xref, Mat J, Mat M, void *ctx) 568 { 569 const PetscScalar *vertices = (const PetscScalar*) ctx; 570 const PetscScalar x0 = vertices[0]; 571 const PetscScalar y0 = vertices[1]; 572 const PetscScalar z0 = vertices[2]; 573 const PetscScalar x1 = vertices[9]; 574 const PetscScalar y1 = vertices[10]; 575 const PetscScalar z1 = vertices[11]; 576 const PetscScalar x2 = vertices[6]; 577 const PetscScalar y2 = vertices[7]; 578 const PetscScalar z2 = vertices[8]; 579 const PetscScalar x3 = vertices[3]; 580 const PetscScalar y3 = vertices[4]; 581 const PetscScalar z3 = vertices[5]; 582 const PetscScalar x4 = vertices[12]; 583 const PetscScalar y4 = vertices[13]; 584 const PetscScalar z4 = vertices[14]; 585 const PetscScalar x5 = vertices[15]; 586 const PetscScalar y5 = vertices[16]; 587 const PetscScalar z5 = vertices[17]; 588 const PetscScalar x6 = vertices[18]; 589 const PetscScalar y6 = vertices[19]; 590 const PetscScalar z6 = vertices[20]; 591 const PetscScalar x7 = vertices[21]; 592 const PetscScalar y7 = vertices[22]; 593 const PetscScalar z7 = vertices[23]; 594 const PetscScalar f_xy = x2 - x1 - x3 + x0; 595 const PetscScalar g_xy = y2 - y1 - y3 + y0; 596 const PetscScalar h_xy = z2 - z1 - z3 + z0; 597 const PetscScalar f_yz = x7 - x3 - x4 + x0; 598 const PetscScalar g_yz = y7 - y3 - y4 + y0; 599 const PetscScalar h_yz = z7 - z3 - z4 + z0; 600 const PetscScalar f_xz = x5 - x1 - x4 + x0; 601 const PetscScalar g_xz = y5 - y1 - y4 + y0; 602 const PetscScalar h_xz = z5 - z1 - z4 + z0; 603 const PetscScalar f_xyz = x6 - x0 + x1 - x2 + x3 + x4 - x5 - x7; 604 const PetscScalar g_xyz = y6 - y0 + y1 - y2 + y3 + y4 - y5 - y7; 605 const PetscScalar h_xyz = z6 - z0 + z1 - z2 + z3 + z4 - z5 - z7; 606 const PetscScalar *ref; 607 PetscErrorCode ierr; 608 609 PetscFunctionBegin; 610 ierr = VecGetArrayRead(Xref, &ref);CHKERRQ(ierr); 611 { 612 const PetscScalar x = ref[0]; 613 const PetscScalar y = ref[1]; 614 const PetscScalar z = ref[2]; 615 const PetscInt rows[3] = {0, 1, 2}; 616 PetscScalar values[9]; 617 618 values[0] = (x1 - x0 + f_xy*y + f_xz*z + f_xyz*y*z) / 2.0; 619 values[1] = (x3 - x0 + f_xy*x + f_yz*z + f_xyz*x*z) / 2.0; 620 values[2] = (x4 - x0 + f_yz*y + f_xz*x + f_xyz*x*y) / 2.0; 621 values[3] = (y1 - y0 + g_xy*y + g_xz*z + g_xyz*y*z) / 2.0; 622 values[4] = (y3 - y0 + g_xy*x + g_yz*z + g_xyz*x*z) / 2.0; 623 values[5] = (y4 - y0 + g_yz*y + g_xz*x + g_xyz*x*y) / 2.0; 624 values[6] = (z1 - z0 + h_xy*y + h_xz*z + h_xyz*y*z) / 2.0; 625 values[7] = (z3 - z0 + h_xy*x + h_yz*z + h_xyz*x*z) / 2.0; 626 values[8] = (z4 - z0 + h_yz*y + h_xz*x + h_xyz*x*y) / 2.0; 627 628 ierr = MatSetValues(J, 3, rows, 3, rows, values, INSERT_VALUES);CHKERRQ(ierr); 629 } 630 ierr = PetscLogFlops(152);CHKERRQ(ierr); 631 ierr = VecRestoreArrayRead(Xref, &ref);CHKERRQ(ierr); 632 ierr = MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 633 ierr = MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 634 PetscFunctionReturn(0); 635 } 636 637 #undef __FUNCT__ 638 #define __FUNCT__ "DMInterpolate_Hex_Private" 639 PETSC_STATIC_INLINE PetscErrorCode DMInterpolate_Hex_Private(DMInterpolationInfo ctx, DM dm, Vec xLocal, Vec v) 640 { 641 DM dmCoord; 642 SNES snes; 643 KSP ksp; 644 PC pc; 645 Vec coordsLocal, r, ref, real; 646 Mat J; 647 const PetscScalar *coords; 648 PetscScalar *a; 649 PetscInt p; 650 PetscErrorCode ierr; 651 652 PetscFunctionBegin; 653 ierr = DMGetCoordinatesLocal(dm, &coordsLocal);CHKERRQ(ierr); 654 ierr = DMGetCoordinateDM(dm, &dmCoord);CHKERRQ(ierr); 655 ierr = SNESCreate(PETSC_COMM_SELF, &snes);CHKERRQ(ierr); 656 ierr = SNESSetOptionsPrefix(snes, "hex_interp_");CHKERRQ(ierr); 657 ierr = VecCreate(PETSC_COMM_SELF, &r);CHKERRQ(ierr); 658 ierr = VecSetSizes(r, 3, 3);CHKERRQ(ierr); 659 ierr = VecSetType(r,dm->vectype);CHKERRQ(ierr); 660 ierr = VecDuplicate(r, &ref);CHKERRQ(ierr); 661 ierr = VecDuplicate(r, &real);CHKERRQ(ierr); 662 ierr = MatCreate(PETSC_COMM_SELF, &J);CHKERRQ(ierr); 663 ierr = MatSetSizes(J, 3, 3, 3, 3);CHKERRQ(ierr); 664 ierr = MatSetType(J, MATSEQDENSE);CHKERRQ(ierr); 665 ierr = MatSetUp(J);CHKERRQ(ierr); 666 ierr = SNESSetFunction(snes, r, HexMap_Private, NULL);CHKERRQ(ierr); 667 ierr = SNESSetJacobian(snes, J, J, HexJacobian_Private, NULL);CHKERRQ(ierr); 668 ierr = SNESGetKSP(snes, &ksp);CHKERRQ(ierr); 669 ierr = KSPGetPC(ksp, &pc);CHKERRQ(ierr); 670 ierr = PCSetType(pc, PCLU);CHKERRQ(ierr); 671 ierr = SNESSetFromOptions(snes);CHKERRQ(ierr); 672 673 ierr = VecGetArrayRead(ctx->coords, &coords);CHKERRQ(ierr); 674 ierr = VecGetArray(v, &a);CHKERRQ(ierr); 675 for (p = 0; p < ctx->n; ++p) { 676 PetscScalar *x = NULL, *vertices = NULL; 677 PetscScalar *xi; 678 PetscReal xir[3]; 679 PetscInt c = ctx->cells[p], comp, coordSize, xSize; 680 681 /* Can make this do all points at once */ 682 ierr = DMPlexVecGetClosure(dmCoord, NULL, coordsLocal, c, &coordSize, &vertices);CHKERRQ(ierr); 683 if (8*3 != coordSize) SETERRQ2(ctx->comm, PETSC_ERR_ARG_SIZ, "Invalid closure size %d should be %d", coordSize, 8*3); 684 ierr = DMPlexVecGetClosure(dm, NULL, xLocal, c, &xSize, &x);CHKERRQ(ierr); 685 if (8*ctx->dof != xSize) SETERRQ2(ctx->comm, PETSC_ERR_ARG_SIZ, "Invalid closure size %d should be %d", xSize, 8*ctx->dof); 686 ierr = SNESSetFunction(snes, NULL, NULL, (void*) vertices);CHKERRQ(ierr); 687 ierr = SNESSetJacobian(snes, NULL, NULL, NULL, (void*) vertices);CHKERRQ(ierr); 688 ierr = VecGetArray(real, &xi);CHKERRQ(ierr); 689 xi[0] = coords[p*ctx->dim+0]; 690 xi[1] = coords[p*ctx->dim+1]; 691 xi[2] = coords[p*ctx->dim+2]; 692 ierr = VecRestoreArray(real, &xi);CHKERRQ(ierr); 693 ierr = SNESSolve(snes, real, ref);CHKERRQ(ierr); 694 ierr = VecGetArray(ref, &xi);CHKERRQ(ierr); 695 xir[0] = PetscRealPart(xi[0]); 696 xir[1] = PetscRealPart(xi[1]); 697 xir[2] = PetscRealPart(xi[2]); 698 for (comp = 0; comp < ctx->dof; ++comp) { 699 a[p*ctx->dof+comp] = 700 x[0*ctx->dof+comp]*(1-xir[0])*(1-xir[1])*(1-xir[2]) + 701 x[3*ctx->dof+comp]* xir[0]*(1-xir[1])*(1-xir[2]) + 702 x[2*ctx->dof+comp]* xir[0]* xir[1]*(1-xir[2]) + 703 x[1*ctx->dof+comp]*(1-xir[0])* xir[1]*(1-xir[2]) + 704 x[4*ctx->dof+comp]*(1-xir[0])*(1-xir[1])* xir[2] + 705 x[5*ctx->dof+comp]* xir[0]*(1-xir[1])* xir[2] + 706 x[6*ctx->dof+comp]* xir[0]* xir[1]* xir[2] + 707 x[7*ctx->dof+comp]*(1-xir[0])* xir[1]* xir[2]; 708 } 709 ierr = VecRestoreArray(ref, &xi);CHKERRQ(ierr); 710 ierr = DMPlexVecRestoreClosure(dmCoord, NULL, coordsLocal, c, &coordSize, &vertices);CHKERRQ(ierr); 711 ierr = DMPlexVecRestoreClosure(dm, NULL, xLocal, c, &xSize, &x);CHKERRQ(ierr); 712 } 713 ierr = VecRestoreArray(v, &a);CHKERRQ(ierr); 714 ierr = VecRestoreArrayRead(ctx->coords, &coords);CHKERRQ(ierr); 715 716 ierr = SNESDestroy(&snes);CHKERRQ(ierr); 717 ierr = VecDestroy(&r);CHKERRQ(ierr); 718 ierr = VecDestroy(&ref);CHKERRQ(ierr); 719 ierr = VecDestroy(&real);CHKERRQ(ierr); 720 ierr = MatDestroy(&J);CHKERRQ(ierr); 721 PetscFunctionReturn(0); 722 } 723 724 #undef __FUNCT__ 725 #define __FUNCT__ "DMInterpolationEvaluate" 726 /* 727 Input Parameters: 728 + ctx - The DMInterpolationInfo context 729 . dm - The DM 730 - x - The local vector containing the field to be interpolated 731 732 Output Parameters: 733 . v - The vector containing the interpolated values 734 */ 735 PetscErrorCode DMInterpolationEvaluate(DMInterpolationInfo ctx, DM dm, Vec x, Vec v) 736 { 737 PetscInt dim, coneSize, n; 738 PetscErrorCode ierr; 739 740 PetscFunctionBegin; 741 PetscValidHeaderSpecific(dm, DM_CLASSID, 2); 742 PetscValidHeaderSpecific(x, VEC_CLASSID, 3); 743 PetscValidHeaderSpecific(v, VEC_CLASSID, 4); 744 ierr = VecGetLocalSize(v, &n);CHKERRQ(ierr); 745 if (n != ctx->n*ctx->dof) SETERRQ2(ctx->comm, PETSC_ERR_ARG_SIZ, "Invalid input vector size %d should be %d", n, ctx->n*ctx->dof); 746 if (n) { 747 ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr); 748 ierr = DMPlexGetConeSize(dm, ctx->cells[0], &coneSize);CHKERRQ(ierr); 749 if (dim == 2) { 750 if (coneSize == 3) { 751 ierr = DMInterpolate_Triangle_Private(ctx, dm, x, v);CHKERRQ(ierr); 752 } else if (coneSize == 4) { 753 ierr = DMInterpolate_Quad_Private(ctx, dm, x, v);CHKERRQ(ierr); 754 } else SETERRQ1(ctx->comm, PETSC_ERR_ARG_OUTOFRANGE, "Unsupported dimension %d for point interpolation", dim); 755 } else if (dim == 3) { 756 if (coneSize == 4) { 757 ierr = DMInterpolate_Tetrahedron_Private(ctx, dm, x, v);CHKERRQ(ierr); 758 } else { 759 ierr = DMInterpolate_Hex_Private(ctx, dm, x, v);CHKERRQ(ierr); 760 } 761 } else SETERRQ1(ctx->comm, PETSC_ERR_ARG_OUTOFRANGE, "Unsupported dimension %d for point interpolation", dim); 762 } 763 PetscFunctionReturn(0); 764 } 765 766 #undef __FUNCT__ 767 #define __FUNCT__ "DMInterpolationDestroy" 768 PetscErrorCode DMInterpolationDestroy(DMInterpolationInfo *ctx) 769 { 770 PetscErrorCode ierr; 771 772 PetscFunctionBegin; 773 PetscValidPointer(ctx, 2); 774 ierr = VecDestroy(&(*ctx)->coords);CHKERRQ(ierr); 775 ierr = PetscFree((*ctx)->points);CHKERRQ(ierr); 776 ierr = PetscFree((*ctx)->cells);CHKERRQ(ierr); 777 ierr = PetscFree(*ctx);CHKERRQ(ierr); 778 *ctx = NULL; 779 PetscFunctionReturn(0); 780 } 781 782 #undef __FUNCT__ 783 #define __FUNCT__ "SNESMonitorFields" 784 /*@C 785 SNESMonitorFields - Monitors the residual for each field separately 786 787 Collective on SNES 788 789 Input Parameters: 790 + snes - the SNES context 791 . its - iteration number 792 . fgnorm - 2-norm of residual 793 - dummy - PetscViewer of type ASCII 794 795 Notes: 796 This routine prints the residual norm at each iteration. 797 798 Level: intermediate 799 800 .keywords: SNES, nonlinear, default, monitor, norm 801 .seealso: SNESMonitorSet(), SNESMonitorDefault() 802 @*/ 803 PetscErrorCode SNESMonitorFields(SNES snes, PetscInt its, PetscReal fgnorm, void *dummy) 804 { 805 PetscViewer viewer = (PetscViewer) dummy; 806 Vec res; 807 DM dm; 808 PetscSection s; 809 const PetscScalar *r; 810 PetscReal *lnorms, *norms; 811 PetscInt numFields, f, pStart, pEnd, p; 812 PetscErrorCode ierr; 813 814 PetscFunctionBegin; 815 PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,4); 816 ierr = SNESGetFunction(snes, &res, 0, 0);CHKERRQ(ierr); 817 ierr = SNESGetDM(snes, &dm);CHKERRQ(ierr); 818 ierr = DMGetDefaultSection(dm, &s);CHKERRQ(ierr); 819 ierr = PetscSectionGetNumFields(s, &numFields);CHKERRQ(ierr); 820 ierr = PetscSectionGetChart(s, &pStart, &pEnd);CHKERRQ(ierr); 821 ierr = PetscCalloc2(numFields, &lnorms, numFields, &norms);CHKERRQ(ierr); 822 ierr = VecGetArrayRead(res, &r);CHKERRQ(ierr); 823 for (p = pStart; p < pEnd; ++p) { 824 for (f = 0; f < numFields; ++f) { 825 PetscInt fdof, foff, d; 826 827 ierr = PetscSectionGetFieldDof(s, p, f, &fdof);CHKERRQ(ierr); 828 ierr = PetscSectionGetFieldOffset(s, p, f, &foff);CHKERRQ(ierr); 829 for (d = 0; d < fdof; ++d) lnorms[f] += PetscRealPart(PetscSqr(r[foff+d])); 830 } 831 } 832 ierr = VecRestoreArrayRead(res, &r);CHKERRQ(ierr); 833 ierr = MPIU_Allreduce(lnorms, norms, numFields, MPIU_REAL, MPIU_SUM, PetscObjectComm((PetscObject) dm));CHKERRQ(ierr); 834 ierr = PetscViewerASCIIAddTab(viewer, ((PetscObject) snes)->tablevel);CHKERRQ(ierr); 835 ierr = PetscViewerASCIIPrintf(viewer, "%3D SNES Function norm %14.12e [", its, (double) fgnorm);CHKERRQ(ierr); 836 for (f = 0; f < numFields; ++f) { 837 if (f > 0) {ierr = PetscViewerASCIIPrintf(viewer, ", ");CHKERRQ(ierr);} 838 ierr = PetscViewerASCIIPrintf(viewer, "%14.12e", (double) PetscSqrtReal(norms[f]));CHKERRQ(ierr); 839 } 840 ierr = PetscViewerASCIIPrintf(viewer, "]\n");CHKERRQ(ierr); 841 ierr = PetscViewerASCIISubtractTab(viewer, ((PetscObject) snes)->tablevel);CHKERRQ(ierr); 842 ierr = PetscFree2(lnorms, norms);CHKERRQ(ierr); 843 PetscFunctionReturn(0); 844 } 845 846 /********************* Residual Computation **************************/ 847 848 #undef __FUNCT__ 849 #define __FUNCT__ "DMPlexSNESGetGeometryFEM" 850 /*@ 851 DMPlexSNESGetGeometryFEM - Return precomputed geometric data 852 853 Input Parameter: 854 . dm - The DM 855 856 Output Parameters: 857 . cellgeom - The values precomputed from cell geometry 858 859 Level: developer 860 861 .seealso: DMPlexSNESSetFunctionLocal() 862 @*/ 863 PetscErrorCode DMPlexSNESGetGeometryFEM(DM dm, Vec *cellgeom) 864 { 865 DMSNES dmsnes; 866 PetscObject obj; 867 PetscErrorCode ierr; 868 869 PetscFunctionBegin; 870 PetscValidHeaderSpecific(dm,DM_CLASSID,1); 871 ierr = DMGetDMSNES(dm, &dmsnes);CHKERRQ(ierr); 872 ierr = PetscObjectQuery((PetscObject) dmsnes, "DMPlexSNES_cellgeom_fem", &obj);CHKERRQ(ierr); 873 if (!obj) { 874 Vec cellgeom; 875 876 ierr = DMPlexComputeGeometryFEM(dm, &cellgeom);CHKERRQ(ierr); 877 ierr = PetscObjectCompose((PetscObject) dmsnes, "DMPlexSNES_cellgeom_fem", (PetscObject) cellgeom);CHKERRQ(ierr); 878 ierr = VecDestroy(&cellgeom);CHKERRQ(ierr); 879 } 880 if (cellgeom) {PetscValidPointer(cellgeom, 3); ierr = PetscObjectQuery((PetscObject) dmsnes, "DMPlexSNES_cellgeom_fem", (PetscObject *) cellgeom);CHKERRQ(ierr);} 881 PetscFunctionReturn(0); 882 } 883 884 #undef __FUNCT__ 885 #define __FUNCT__ "DMPlexSNESGetGeometryFVM" 886 /*@ 887 DMPlexSNESGetGeometryFVM - Return precomputed geometric data 888 889 Input Parameter: 890 . dm - The DM 891 892 Output Parameters: 893 + facegeom - The values precomputed from face geometry 894 . cellgeom - The values precomputed from cell geometry 895 - minRadius - The minimum radius over the mesh of an inscribed sphere in a cell 896 897 Level: developer 898 899 .seealso: DMPlexTSSetRHSFunctionLocal() 900 @*/ 901 PetscErrorCode DMPlexSNESGetGeometryFVM(DM dm, Vec *facegeom, Vec *cellgeom, PetscReal *minRadius) 902 { 903 DMSNES dmsnes; 904 PetscObject obj; 905 PetscErrorCode ierr; 906 907 PetscFunctionBegin; 908 PetscValidHeaderSpecific(dm,DM_CLASSID,1); 909 ierr = DMGetDMSNES(dm, &dmsnes);CHKERRQ(ierr); 910 ierr = PetscObjectQuery((PetscObject) dmsnes, "DMPlexSNES_facegeom_fvm", &obj);CHKERRQ(ierr); 911 if (!obj) { 912 Vec cellgeom, facegeom; 913 914 ierr = DMPlexComputeGeometryFVM(dm, &cellgeom, &facegeom);CHKERRQ(ierr); 915 ierr = PetscObjectCompose((PetscObject) dmsnes, "DMPlexSNES_facegeom_fvm", (PetscObject) facegeom);CHKERRQ(ierr); 916 ierr = PetscObjectCompose((PetscObject) dmsnes, "DMPlexSNES_cellgeom_fvm", (PetscObject) cellgeom);CHKERRQ(ierr); 917 ierr = VecDestroy(&facegeom);CHKERRQ(ierr); 918 ierr = VecDestroy(&cellgeom);CHKERRQ(ierr); 919 } 920 if (facegeom) {PetscValidPointer(facegeom, 2); ierr = PetscObjectQuery((PetscObject) dmsnes, "DMPlexSNES_facegeom_fvm", (PetscObject *) facegeom);CHKERRQ(ierr);} 921 if (cellgeom) {PetscValidPointer(cellgeom, 3); ierr = PetscObjectQuery((PetscObject) dmsnes, "DMPlexSNES_cellgeom_fvm", (PetscObject *) cellgeom);CHKERRQ(ierr);} 922 if (minRadius) {ierr = DMPlexGetMinRadius(dm, minRadius);CHKERRQ(ierr);} 923 PetscFunctionReturn(0); 924 } 925 926 #undef __FUNCT__ 927 #define __FUNCT__ "DMPlexSNESGetGradientDM" 928 /*@ 929 DMPlexSNESGetGradientDM - Return gradient data layout 930 931 Input Parameters: 932 + dm - The DM 933 - fv - The PetscFV 934 935 Output Parameter: 936 . dmGrad - The layout for gradient values 937 938 Level: developer 939 940 .seealso: DMPlexSNESGetGeometryFVM() 941 @*/ 942 PetscErrorCode DMPlexSNESGetGradientDM(DM dm, PetscFV fv, DM *dmGrad) 943 { 944 DMSNES dmsnes; 945 PetscObject obj; 946 PetscBool computeGradients; 947 PetscErrorCode ierr; 948 949 PetscFunctionBegin; 950 PetscValidHeaderSpecific(dm,DM_CLASSID,1); 951 PetscValidHeaderSpecific(fv,PETSCFV_CLASSID,2); 952 PetscValidPointer(dmGrad,3); 953 ierr = PetscFVGetComputeGradients(fv, &computeGradients);CHKERRQ(ierr); 954 if (!computeGradients) {*dmGrad = NULL; PetscFunctionReturn(0);} 955 ierr = DMGetDMSNES(dm, &dmsnes);CHKERRQ(ierr); 956 ierr = PetscObjectQuery((PetscObject) dmsnes, "DMPlexSNES_dmgrad_fvm", &obj);CHKERRQ(ierr); 957 if (!obj) { 958 DM dmGrad; 959 Vec faceGeometry, cellGeometry; 960 961 ierr = DMPlexSNESGetGeometryFVM(dm, &faceGeometry, &cellGeometry, NULL);CHKERRQ(ierr); 962 ierr = DMPlexComputeGradientFVM(dm, fv, faceGeometry, cellGeometry, &dmGrad);CHKERRQ(ierr); 963 ierr = PetscObjectCompose((PetscObject) dmsnes, "DMPlexSNES_dmgrad_fvm", (PetscObject) dmGrad);CHKERRQ(ierr); 964 ierr = DMDestroy(&dmGrad);CHKERRQ(ierr); 965 } 966 ierr = PetscObjectQuery((PetscObject) dmsnes, "DMPlexSNES_dmgrad_fvm", (PetscObject *) dmGrad);CHKERRQ(ierr); 967 PetscFunctionReturn(0); 968 } 969 970 #undef __FUNCT__ 971 #define __FUNCT__ "DMPlexGetCellFields" 972 /*@C 973 DMPlexGetCellFields - Retrieve the field values values for a chunk of cells 974 975 Input Parameters: 976 + dm - The DM 977 . cStart - The first cell to include 978 . cEnd - The first cell to exclude 979 . locX - A local vector with the solution fields 980 . locX_t - A local vector with solution field time derivatives, or NULL 981 - locA - A local vector with auxiliary fields, or NULL 982 983 Output Parameters: 984 + u - The field coefficients 985 . u_t - The fields derivative coefficients 986 - a - The auxiliary field coefficients 987 988 Level: developer 989 990 .seealso: DMPlexGetFaceFields() 991 @*/ 992 PetscErrorCode DMPlexGetCellFields(DM dm, PetscInt cStart, PetscInt cEnd, Vec locX, Vec locX_t, Vec locA, PetscScalar **u, PetscScalar **u_t, PetscScalar **a) 993 { 994 DM dmAux; 995 PetscSection section, sectionAux; 996 PetscDS prob; 997 PetscInt numCells = cEnd - cStart, totDim, totDimAux, c; 998 PetscErrorCode ierr; 999 1000 PetscFunctionBegin; 1001 PetscValidHeaderSpecific(dm, DM_CLASSID, 1); 1002 PetscValidHeaderSpecific(locX, VEC_CLASSID, 4); 1003 if (locX_t) {PetscValidHeaderSpecific(locX_t, VEC_CLASSID, 5);} 1004 if (locA) {PetscValidHeaderSpecific(locA, VEC_CLASSID, 6);} 1005 PetscValidPointer(u, 7); 1006 PetscValidPointer(u_t, 8); 1007 PetscValidPointer(a, 9); 1008 ierr = DMGetDefaultSection(dm, §ion);CHKERRQ(ierr); 1009 ierr = DMGetDS(dm, &prob);CHKERRQ(ierr); 1010 ierr = PetscDSGetTotalDimension(prob, &totDim);CHKERRQ(ierr); 1011 if (locA) { 1012 PetscDS probAux; 1013 1014 ierr = VecGetDM(locA, &dmAux);CHKERRQ(ierr); 1015 ierr = DMGetDefaultSection(dmAux, §ionAux);CHKERRQ(ierr); 1016 ierr = DMGetDS(dmAux, &probAux);CHKERRQ(ierr); 1017 ierr = PetscDSGetTotalDimension(probAux, &totDimAux);CHKERRQ(ierr); 1018 } 1019 ierr = DMGetWorkArray(dm, numCells*totDim, PETSC_SCALAR, u);CHKERRQ(ierr); 1020 if (locX_t) {ierr = DMGetWorkArray(dm, numCells*totDim, PETSC_SCALAR, u_t);CHKERRQ(ierr);} else {*u_t = NULL;} 1021 if (locA) {ierr = DMGetWorkArray(dm, numCells*totDimAux, PETSC_SCALAR, a);CHKERRQ(ierr);} else {*a = NULL;} 1022 for (c = cStart; c < cEnd; ++c) { 1023 PetscScalar *x = NULL, *x_t = NULL, *ul = *u, *ul_t = *u_t, *al = *a; 1024 PetscInt i; 1025 1026 ierr = DMPlexVecGetClosure(dm, section, locX, c, NULL, &x);CHKERRQ(ierr); 1027 for (i = 0; i < totDim; ++i) ul[(c-cStart)*totDim+i] = x[i]; 1028 ierr = DMPlexVecRestoreClosure(dm, section, locX, c, NULL, &x);CHKERRQ(ierr); 1029 if (locX_t) { 1030 ierr = DMPlexVecGetClosure(dm, section, locX_t, c, NULL, &x_t);CHKERRQ(ierr); 1031 for (i = 0; i < totDim; ++i) ul_t[(c-cStart)*totDim+i] = x_t[i]; 1032 ierr = DMPlexVecRestoreClosure(dm, section, locX_t, c, NULL, &x_t);CHKERRQ(ierr); 1033 } 1034 if (locA) { 1035 DM dmAuxPlex; 1036 1037 ierr = DMSNESConvertPlex(dmAux, &dmAuxPlex, PETSC_FALSE);CHKERRQ(ierr); 1038 ierr = DMPlexVecGetClosure(dmAuxPlex, sectionAux, locA, c, NULL, &x);CHKERRQ(ierr); 1039 for (i = 0; i < totDimAux; ++i) al[(c-cStart)*totDimAux+i] = x[i]; 1040 ierr = DMPlexVecRestoreClosure(dmAuxPlex, sectionAux, locA, c, NULL, &x);CHKERRQ(ierr); 1041 ierr = DMDestroy(&dmAuxPlex);CHKERRQ(ierr); 1042 } 1043 } 1044 PetscFunctionReturn(0); 1045 } 1046 1047 #undef __FUNCT__ 1048 #define __FUNCT__ "DMPlexRestoreCellFields" 1049 /*@C 1050 DMPlexRestoreCellFields - Restore the field values values for a chunk of cells 1051 1052 Input Parameters: 1053 + dm - The DM 1054 . cStart - The first cell to include 1055 . cEnd - The first cell to exclude 1056 . locX - A local vector with the solution fields 1057 . locX_t - A local vector with solution field time derivatives, or NULL 1058 - locA - A local vector with auxiliary fields, or NULL 1059 1060 Output Parameters: 1061 + u - The field coefficients 1062 . u_t - The fields derivative coefficients 1063 - a - The auxiliary field coefficients 1064 1065 Level: developer 1066 1067 .seealso: DMPlexGetFaceFields() 1068 @*/ 1069 PetscErrorCode DMPlexRestoreCellFields(DM dm, PetscInt cStart, PetscInt cEnd, Vec locX, Vec locX_t, Vec locA, PetscScalar **u, PetscScalar **u_t, PetscScalar **a) 1070 { 1071 PetscErrorCode ierr; 1072 1073 PetscFunctionBegin; 1074 ierr = DMRestoreWorkArray(dm, 0, PETSC_SCALAR, u);CHKERRQ(ierr); 1075 if (*u_t) {ierr = DMRestoreWorkArray(dm, 0, PETSC_SCALAR, u_t);CHKERRQ(ierr);} 1076 if (*a) {ierr = DMRestoreWorkArray(dm, 0, PETSC_SCALAR, a);CHKERRQ(ierr);} 1077 PetscFunctionReturn(0); 1078 } 1079 1080 #undef __FUNCT__ 1081 #define __FUNCT__ "DMPlexGetFaceFields" 1082 /*@C 1083 DMPlexGetFaceFields - Retrieve the field values values for a chunk of faces 1084 1085 Input Parameters: 1086 + dm - The DM 1087 . fStart - The first face to include 1088 . fEnd - The first face to exclude 1089 . locX - A local vector with the solution fields 1090 . locX_t - A local vector with solution field time derivatives, or NULL 1091 . faceGeometry - A local vector with face geometry 1092 . cellGeometry - A local vector with cell geometry 1093 - locaGrad - A local vector with field gradients, or NULL 1094 1095 Output Parameters: 1096 + uL - The field values at the left side of the face 1097 - uR - The field values at the right side of the face 1098 1099 Level: developer 1100 1101 .seealso: DMPlexGetCellFields() 1102 @*/ 1103 PetscErrorCode DMPlexGetFaceFields(DM dm, PetscInt fStart, PetscInt fEnd, Vec locX, Vec locX_t, Vec faceGeometry, Vec cellGeometry, Vec locGrad, PetscScalar **uL, PetscScalar **uR) 1104 { 1105 DM dmFace, dmCell, dmGrad = NULL; 1106 PetscSection section; 1107 PetscDS prob; 1108 DMLabel ghostLabel; 1109 const PetscScalar *facegeom, *cellgeom, *x, *lgrad; 1110 PetscBool *isFE; 1111 PetscInt dim, Nf, f, Nc, numFaces = fEnd - fStart, iface, face; 1112 PetscErrorCode ierr; 1113 1114 PetscFunctionBegin; 1115 PetscValidHeaderSpecific(dm, DM_CLASSID, 1); 1116 PetscValidHeaderSpecific(locX, VEC_CLASSID, 4); 1117 if (locX_t) {PetscValidHeaderSpecific(locX_t, VEC_CLASSID, 5);} 1118 PetscValidHeaderSpecific(faceGeometry, VEC_CLASSID, 6); 1119 PetscValidHeaderSpecific(cellGeometry, VEC_CLASSID, 7); 1120 if (locGrad) {PetscValidHeaderSpecific(locGrad, VEC_CLASSID, 8);} 1121 PetscValidPointer(uL, 9); 1122 PetscValidPointer(uR, 10); 1123 ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr); 1124 ierr = DMGetDS(dm, &prob);CHKERRQ(ierr); 1125 ierr = DMGetDefaultSection(dm, §ion);CHKERRQ(ierr); 1126 ierr = PetscDSGetNumFields(prob, &Nf);CHKERRQ(ierr); 1127 ierr = PetscDSGetTotalComponents(prob, &Nc);CHKERRQ(ierr); 1128 ierr = PetscMalloc1(Nf, &isFE);CHKERRQ(ierr); 1129 for (f = 0; f < Nf; ++f) { 1130 PetscObject obj; 1131 PetscClassId id; 1132 1133 ierr = DMGetField(dm, f, &obj);CHKERRQ(ierr); 1134 ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr); 1135 if (id == PETSCFE_CLASSID) {isFE[f] = PETSC_TRUE;} 1136 else if (id == PETSCFV_CLASSID) {isFE[f] = PETSC_FALSE;} 1137 else {isFE[f] = PETSC_FALSE;} 1138 } 1139 ierr = DMGetLabel(dm, "ghost", &ghostLabel);CHKERRQ(ierr); 1140 ierr = VecGetArrayRead(locX, &x);CHKERRQ(ierr); 1141 ierr = VecGetDM(faceGeometry, &dmFace);CHKERRQ(ierr); 1142 ierr = VecGetArrayRead(faceGeometry, &facegeom);CHKERRQ(ierr); 1143 ierr = VecGetDM(cellGeometry, &dmCell);CHKERRQ(ierr); 1144 ierr = VecGetArrayRead(cellGeometry, &cellgeom);CHKERRQ(ierr); 1145 if (locGrad) { 1146 ierr = VecGetDM(locGrad, &dmGrad);CHKERRQ(ierr); 1147 ierr = VecGetArrayRead(locGrad, &lgrad);CHKERRQ(ierr); 1148 } 1149 ierr = DMGetWorkArray(dm, numFaces*Nc, PETSC_SCALAR, uL);CHKERRQ(ierr); 1150 ierr = DMGetWorkArray(dm, numFaces*Nc, PETSC_SCALAR, uR);CHKERRQ(ierr); 1151 /* Right now just eat the extra work for FE (could make a cell loop) */ 1152 for (face = fStart, iface = 0; face < fEnd; ++face) { 1153 const PetscInt *cells; 1154 const PetscFVFaceGeom *fg; 1155 const PetscFVCellGeom *cgL, *cgR; 1156 const PetscScalar *xL, *xR, *gL, *gR; 1157 PetscScalar *uLl = *uL, *uRl = *uR; 1158 PetscInt ghost, nsupp; 1159 1160 ierr = DMLabelGetValue(ghostLabel, face, &ghost);CHKERRQ(ierr); 1161 ierr = DMPlexGetSupportSize(dm, face, &nsupp);CHKERRQ(ierr); 1162 if (ghost >= 0) continue; 1163 ierr = DMPlexPointLocalRead(dmFace, face, facegeom, &fg);CHKERRQ(ierr); 1164 ierr = DMPlexGetSupport(dm, face, &cells);CHKERRQ(ierr); 1165 ierr = DMPlexPointLocalRead(dmCell, cells[0], cellgeom, &cgL);CHKERRQ(ierr); 1166 ierr = DMPlexPointLocalRead(dmCell, cells[1], cellgeom, &cgR);CHKERRQ(ierr); 1167 for (f = 0; f < Nf; ++f) { 1168 PetscInt off; 1169 1170 ierr = PetscDSGetComponentOffset(prob, f, &off);CHKERRQ(ierr); 1171 if (isFE[f]) { 1172 const PetscInt *cone; 1173 PetscInt comp, coneSize, faceLocL, faceLocR, ldof, rdof, d; 1174 1175 xL = xR = NULL; 1176 ierr = DMPlexVecGetClosure(dm, section, locX, cells[0], &ldof, (PetscScalar **) &xL);CHKERRQ(ierr); 1177 ierr = DMPlexVecGetClosure(dm, section, locX, cells[1], &rdof, (PetscScalar **) &xR);CHKERRQ(ierr); 1178 ierr = DMPlexGetCone(dm, cells[0], &cone);CHKERRQ(ierr); 1179 ierr = DMPlexGetConeSize(dm, cells[0], &coneSize);CHKERRQ(ierr); 1180 for (faceLocL = 0; faceLocL < coneSize; ++faceLocL) if (cone[faceLocL] == face) break; 1181 if (faceLocL == coneSize) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Could not find face %d in cone of cell %d", face, cells[0]); 1182 ierr = DMPlexGetCone(dm, cells[1], &cone);CHKERRQ(ierr); 1183 ierr = DMPlexGetConeSize(dm, cells[1], &coneSize);CHKERRQ(ierr); 1184 for (faceLocR = 0; faceLocR < coneSize; ++faceLocR) if (cone[faceLocR] == face) break; 1185 if (faceLocR == coneSize) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Could not find face %d in cone of cell %d", face, cells[1]); 1186 /* Check that FEM field has values in the right cell (sometimes its an FV ghost cell) */ 1187 ierr = EvaluateFaceFields(prob, f, faceLocL, xL, &uLl[iface*Nc+off]);CHKERRQ(ierr); 1188 if (rdof == ldof) {ierr = EvaluateFaceFields(prob, f, faceLocR, xR, &uRl[iface*Nc+off]);CHKERRQ(ierr);} 1189 else {ierr = PetscSectionGetFieldComponents(section, f, &comp);CHKERRQ(ierr); for(d = 0; d < comp; ++d) uRl[iface*Nc+off+d] = uLl[iface*Nc+off+d];} 1190 ierr = DMPlexVecRestoreClosure(dm, section, locX, cells[0], &ldof, (PetscScalar **) &xL);CHKERRQ(ierr); 1191 ierr = DMPlexVecRestoreClosure(dm, section, locX, cells[1], &rdof, (PetscScalar **) &xR);CHKERRQ(ierr); 1192 } else { 1193 PetscFV fv; 1194 PetscInt numComp, c; 1195 1196 ierr = PetscDSGetDiscretization(prob, f, (PetscObject *) &fv);CHKERRQ(ierr); 1197 ierr = PetscFVGetNumComponents(fv, &numComp);CHKERRQ(ierr); 1198 if (nsupp > 2) { 1199 for (f = 0; f < Nf; ++f) { 1200 PetscInt off; 1201 1202 ierr = PetscDSGetComponentOffset(prob, f, &off);CHKERRQ(ierr); 1203 ierr = PetscFVGetNumComponents(fv, &numComp);CHKERRQ(ierr); 1204 for (c = 0; c < numComp; ++c) { 1205 uLl[iface*Nc+off+c] = 0.; 1206 uRl[iface*Nc+off+c] = 0.; 1207 } 1208 } 1209 continue; 1210 } 1211 ierr = DMPlexPointLocalFieldRead(dm, cells[0], f, x, &xL);CHKERRQ(ierr); 1212 ierr = DMPlexPointLocalFieldRead(dm, cells[1], f, x, &xR);CHKERRQ(ierr); 1213 if (dmGrad) { 1214 PetscReal dxL[3], dxR[3]; 1215 1216 ierr = DMPlexPointLocalRead(dmGrad, cells[0], lgrad, &gL);CHKERRQ(ierr); 1217 ierr = DMPlexPointLocalRead(dmGrad, cells[1], lgrad, &gR);CHKERRQ(ierr); 1218 DMPlex_WaxpyD_Internal(dim, -1, cgL->centroid, fg->centroid, dxL); 1219 DMPlex_WaxpyD_Internal(dim, -1, cgR->centroid, fg->centroid, dxR); 1220 for (c = 0; c < numComp; ++c) { 1221 uLl[iface*Nc+off+c] = xL[c] + DMPlex_DotD_Internal(dim, &gL[c*dim], dxL); 1222 uRl[iface*Nc+off+c] = xR[c] + DMPlex_DotD_Internal(dim, &gR[c*dim], dxR); 1223 } 1224 } else { 1225 for (c = 0; c < numComp; ++c) { 1226 uLl[iface*Nc+off+c] = xL[c]; 1227 uRl[iface*Nc+off+c] = xR[c]; 1228 } 1229 } 1230 } 1231 } 1232 ++iface; 1233 } 1234 ierr = VecRestoreArrayRead(locX, &x);CHKERRQ(ierr); 1235 ierr = VecRestoreArrayRead(faceGeometry, &facegeom);CHKERRQ(ierr); 1236 ierr = VecRestoreArrayRead(cellGeometry, &cellgeom);CHKERRQ(ierr); 1237 if (locGrad) { 1238 ierr = VecRestoreArrayRead(locGrad, &lgrad);CHKERRQ(ierr); 1239 } 1240 ierr = PetscFree(isFE);CHKERRQ(ierr); 1241 PetscFunctionReturn(0); 1242 } 1243 1244 #undef __FUNCT__ 1245 #define __FUNCT__ "DMPlexRestoreFaceFields" 1246 /*@C 1247 DMPlexRestoreFaceFields - Restore the field values values for a chunk of faces 1248 1249 Input Parameters: 1250 + dm - The DM 1251 . fStart - The first face to include 1252 . fEnd - The first face to exclude 1253 . locX - A local vector with the solution fields 1254 . locX_t - A local vector with solution field time derivatives, or NULL 1255 . faceGeometry - A local vector with face geometry 1256 . cellGeometry - A local vector with cell geometry 1257 - locaGrad - A local vector with field gradients, or NULL 1258 1259 Output Parameters: 1260 + uL - The field values at the left side of the face 1261 - uR - The field values at the right side of the face 1262 1263 Level: developer 1264 1265 .seealso: DMPlexGetFaceFields() 1266 @*/ 1267 PetscErrorCode DMPlexRestoreFaceFields(DM dm, PetscInt fStart, PetscInt fEnd, Vec locX, Vec locX_t, Vec faceGeometry, Vec cellGeometry, Vec locGrad, PetscScalar **uL, PetscScalar **uR) 1268 { 1269 PetscErrorCode ierr; 1270 1271 PetscFunctionBegin; 1272 ierr = DMRestoreWorkArray(dm, 0, PETSC_SCALAR, uL);CHKERRQ(ierr); 1273 ierr = DMRestoreWorkArray(dm, 0, PETSC_SCALAR, uR);CHKERRQ(ierr); 1274 PetscFunctionReturn(0); 1275 } 1276 1277 #undef __FUNCT__ 1278 #define __FUNCT__ "DMPlexGetFaceGeometry" 1279 /*@C 1280 DMPlexGetFaceGeometry - Retrieve the geometric values for a chunk of faces 1281 1282 Input Parameters: 1283 + dm - The DM 1284 . fStart - The first face to include 1285 . fEnd - The first face to exclude 1286 . faceGeometry - A local vector with face geometry 1287 - cellGeometry - A local vector with cell geometry 1288 1289 Output Parameters: 1290 + fgeom - The extract the face centroid and normal 1291 - vol - The cell volume 1292 1293 Level: developer 1294 1295 .seealso: DMPlexGetCellFields() 1296 @*/ 1297 PetscErrorCode DMPlexGetFaceGeometry(DM dm, PetscInt fStart, PetscInt fEnd, Vec faceGeometry, Vec cellGeometry, PetscFVFaceGeom **fgeom, PetscReal **vol) 1298 { 1299 DM dmFace, dmCell; 1300 DMLabel ghostLabel; 1301 const PetscScalar *facegeom, *cellgeom; 1302 PetscInt dim, numFaces = fEnd - fStart, iface, face; 1303 PetscErrorCode ierr; 1304 1305 PetscFunctionBegin; 1306 PetscValidHeaderSpecific(dm, DM_CLASSID, 1); 1307 PetscValidHeaderSpecific(faceGeometry, VEC_CLASSID, 4); 1308 PetscValidHeaderSpecific(cellGeometry, VEC_CLASSID, 5); 1309 PetscValidPointer(fgeom, 6); 1310 PetscValidPointer(vol, 7); 1311 ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr); 1312 ierr = DMGetLabel(dm, "ghost", &ghostLabel);CHKERRQ(ierr); 1313 ierr = VecGetDM(faceGeometry, &dmFace);CHKERRQ(ierr); 1314 ierr = VecGetArrayRead(faceGeometry, &facegeom);CHKERRQ(ierr); 1315 ierr = VecGetDM(cellGeometry, &dmCell);CHKERRQ(ierr); 1316 ierr = VecGetArrayRead(cellGeometry, &cellgeom);CHKERRQ(ierr); 1317 ierr = PetscMalloc1(numFaces, fgeom);CHKERRQ(ierr); 1318 ierr = DMGetWorkArray(dm, numFaces*2, PETSC_SCALAR, vol);CHKERRQ(ierr); 1319 for (face = fStart, iface = 0; face < fEnd; ++face) { 1320 const PetscInt *cells; 1321 const PetscFVFaceGeom *fg; 1322 const PetscFVCellGeom *cgL, *cgR; 1323 PetscFVFaceGeom *fgeoml = *fgeom; 1324 PetscReal *voll = *vol; 1325 PetscInt ghost, d; 1326 1327 ierr = DMLabelGetValue(ghostLabel, face, &ghost);CHKERRQ(ierr); 1328 if (ghost >= 0) continue; 1329 ierr = DMPlexPointLocalRead(dmFace, face, facegeom, &fg);CHKERRQ(ierr); 1330 ierr = DMPlexGetSupport(dm, face, &cells);CHKERRQ(ierr); 1331 ierr = DMPlexPointLocalRead(dmCell, cells[0], cellgeom, &cgL);CHKERRQ(ierr); 1332 ierr = DMPlexPointLocalRead(dmCell, cells[1], cellgeom, &cgR);CHKERRQ(ierr); 1333 for (d = 0; d < dim; ++d) { 1334 fgeoml[iface].centroid[d] = fg->centroid[d]; 1335 fgeoml[iface].normal[d] = fg->normal[d]; 1336 } 1337 voll[iface*2+0] = cgL->volume; 1338 voll[iface*2+1] = cgR->volume; 1339 ++iface; 1340 } 1341 ierr = VecRestoreArrayRead(faceGeometry, &facegeom);CHKERRQ(ierr); 1342 ierr = VecRestoreArrayRead(cellGeometry, &cellgeom);CHKERRQ(ierr); 1343 PetscFunctionReturn(0); 1344 } 1345 1346 #undef __FUNCT__ 1347 #define __FUNCT__ "DMPlexRestoreFaceGeometry" 1348 /*@C 1349 DMPlexRestoreFaceGeometry - Restore the field values values for a chunk of faces 1350 1351 Input Parameters: 1352 + dm - The DM 1353 . fStart - The first face to include 1354 . fEnd - The first face to exclude 1355 . faceGeometry - A local vector with face geometry 1356 - cellGeometry - A local vector with cell geometry 1357 1358 Output Parameters: 1359 + fgeom - The extract the face centroid and normal 1360 - vol - The cell volume 1361 1362 Level: developer 1363 1364 .seealso: DMPlexGetFaceFields() 1365 @*/ 1366 PetscErrorCode DMPlexRestoreFaceGeometry(DM dm, PetscInt fStart, PetscInt fEnd, Vec faceGeometry, Vec cellGeometry, PetscFVFaceGeom **fgeom, PetscReal **vol) 1367 { 1368 PetscErrorCode ierr; 1369 1370 PetscFunctionBegin; 1371 ierr = PetscFree(*fgeom);CHKERRQ(ierr); 1372 ierr = DMRestoreWorkArray(dm, 0, PETSC_REAL, vol);CHKERRQ(ierr); 1373 PetscFunctionReturn(0); 1374 } 1375 1376 #undef __FUNCT__ 1377 #define __FUNCT__ "DMPlexApplyLimiter_Internal" 1378 static PetscErrorCode DMPlexApplyLimiter_Internal (DM dm, DM dmCell, PetscLimiter lim, PetscInt dim, PetscInt totDim, PetscInt cell, PetscInt face, PetscInt fStart, PetscInt fEnd, PetscReal *cellPhi, const PetscScalar *x, 1379 const PetscScalar *cellgeom, const PetscFVCellGeom *cg, const PetscScalar *cx, const PetscScalar *cgrad) 1380 { 1381 const PetscInt *children; 1382 PetscInt numChildren; 1383 PetscErrorCode ierr; 1384 1385 PetscFunctionBegin; 1386 ierr = DMPlexGetTreeChildren(dm,face,&numChildren,&children);CHKERRQ(ierr); 1387 if (numChildren) { 1388 PetscInt c; 1389 1390 for (c = 0; c < numChildren; c++) { 1391 PetscInt childFace = children[c]; 1392 1393 if (childFace >= fStart && childFace < fEnd) { 1394 ierr = DMPlexApplyLimiter_Internal(dm,dmCell,lim,dim,totDim,cell,childFace,fStart,fEnd,cellPhi,x,cellgeom,cg,cx,cgrad);CHKERRQ(ierr); 1395 } 1396 } 1397 } 1398 else { 1399 const PetscScalar *ncx; 1400 const PetscFVCellGeom *ncg; 1401 const PetscInt *fcells; 1402 PetscInt ncell, d; 1403 PetscReal v[3]; 1404 1405 ierr = DMPlexGetSupport(dm, face, &fcells);CHKERRQ(ierr); 1406 ncell = cell == fcells[0] ? fcells[1] : fcells[0]; 1407 ierr = DMPlexPointLocalRead(dm, ncell, x, &ncx);CHKERRQ(ierr); 1408 ierr = DMPlexPointLocalRead(dmCell, ncell, cellgeom, &ncg);CHKERRQ(ierr); 1409 DMPlex_WaxpyD_Internal(dim, -1, cg->centroid, ncg->centroid, v); 1410 for (d = 0; d < totDim; ++d) { 1411 /* We use the symmetric slope limited form of Berger, Aftosmis, and Murman 2005 */ 1412 PetscReal phi, flim = 0.5 * PetscRealPart(ncx[d] - cx[d]) / DMPlex_DotD_Internal(dim, &cgrad[d*dim], v); 1413 1414 ierr = PetscLimiterLimit(lim, flim, &phi);CHKERRQ(ierr); 1415 cellPhi[d] = PetscMin(cellPhi[d], phi); 1416 } 1417 } 1418 PetscFunctionReturn(0); 1419 } 1420 1421 #undef __FUNCT__ 1422 #define __FUNCT__ "DMPlexReconstructGradients_Internal" 1423 PetscErrorCode DMPlexReconstructGradients_Internal(DM dm, PetscInt fStart, PetscInt fEnd, Vec faceGeometry, Vec cellGeometry, Vec locX, Vec grad) 1424 { 1425 DM dmFace, dmCell, dmGrad; 1426 DMLabel ghostLabel; 1427 PetscDS prob; 1428 PetscFV fvm; 1429 PetscLimiter lim; 1430 const PetscScalar *facegeom, *cellgeom, *x; 1431 PetscScalar *gr; 1432 PetscReal *cellPhi; 1433 PetscInt dim, face, cell, totDim, cStart, cEnd, cEndInterior; 1434 PetscErrorCode ierr; 1435 1436 PetscFunctionBegin; 1437 ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr); 1438 ierr = DMGetDS(dm, &prob);CHKERRQ(ierr); 1439 ierr = PetscDSGetTotalDimension(prob, &totDim);CHKERRQ(ierr); 1440 ierr = DMGetLabel(dm, "ghost", &ghostLabel);CHKERRQ(ierr); 1441 ierr = PetscDSGetDiscretization(prob, 0, (PetscObject *) &fvm);CHKERRQ(ierr); 1442 ierr = PetscFVGetLimiter(fvm, &lim);CHKERRQ(ierr); 1443 ierr = VecGetDM(faceGeometry, &dmFace);CHKERRQ(ierr); 1444 ierr = VecGetArrayRead(faceGeometry, &facegeom);CHKERRQ(ierr); 1445 ierr = VecGetDM(cellGeometry, &dmCell);CHKERRQ(ierr); 1446 ierr = VecGetArrayRead(cellGeometry, &cellgeom);CHKERRQ(ierr); 1447 ierr = VecGetArrayRead(locX, &x);CHKERRQ(ierr); 1448 ierr = VecGetDM(grad, &dmGrad);CHKERRQ(ierr); 1449 ierr = VecZeroEntries(grad);CHKERRQ(ierr); 1450 ierr = VecGetArray(grad, &gr);CHKERRQ(ierr); 1451 /* Reconstruct gradients */ 1452 for (face = fStart; face < fEnd; ++face) { 1453 const PetscInt *cells; 1454 const PetscFVFaceGeom *fg; 1455 const PetscScalar *cx[2]; 1456 PetscScalar *cgrad[2]; 1457 PetscBool boundary; 1458 PetscInt ghost, c, pd, d, numChildren, numCells; 1459 1460 ierr = DMLabelGetValue(ghostLabel, face, &ghost);CHKERRQ(ierr); 1461 ierr = DMIsBoundaryPoint(dm, face, &boundary);CHKERRQ(ierr); 1462 ierr = DMPlexGetTreeChildren(dm, face, &numChildren, NULL);CHKERRQ(ierr); 1463 if (ghost >= 0 || boundary || numChildren) continue; 1464 ierr = DMPlexGetSupportSize(dm, face, &numCells);CHKERRQ(ierr); 1465 if (numCells != 2) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "facet %d has %d support points: expected 2",face,numCells); 1466 ierr = DMPlexGetSupport(dm, face, &cells);CHKERRQ(ierr); 1467 ierr = DMPlexPointLocalRead(dmFace, face, facegeom, &fg);CHKERRQ(ierr); 1468 for (c = 0; c < 2; ++c) { 1469 ierr = DMPlexPointLocalRead(dm, cells[c], x, &cx[c]);CHKERRQ(ierr); 1470 ierr = DMPlexPointGlobalRef(dmGrad, cells[c], gr, &cgrad[c]);CHKERRQ(ierr); 1471 } 1472 for (pd = 0; pd < totDim; ++pd) { 1473 PetscScalar delta = cx[1][pd] - cx[0][pd]; 1474 1475 for (d = 0; d < dim; ++d) { 1476 if (cgrad[0]) cgrad[0][pd*dim+d] += fg->grad[0][d] * delta; 1477 if (cgrad[1]) cgrad[1][pd*dim+d] -= fg->grad[1][d] * delta; 1478 } 1479 } 1480 } 1481 /* Limit interior gradients (using cell-based loop because it generalizes better to vector limiters) */ 1482 ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr); 1483 ierr = DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);CHKERRQ(ierr); 1484 cEndInterior = cEndInterior < 0 ? cEnd : cEndInterior; 1485 ierr = DMGetWorkArray(dm, totDim, PETSC_REAL, &cellPhi);CHKERRQ(ierr); 1486 for (cell = dmGrad && lim ? cStart : cEnd; cell < cEndInterior; ++cell) { 1487 const PetscInt *faces; 1488 const PetscScalar *cx; 1489 const PetscFVCellGeom *cg; 1490 PetscScalar *cgrad; 1491 PetscInt coneSize, f, pd, d; 1492 1493 ierr = DMPlexGetConeSize(dm, cell, &coneSize);CHKERRQ(ierr); 1494 ierr = DMPlexGetCone(dm, cell, &faces);CHKERRQ(ierr); 1495 ierr = DMPlexPointLocalRead(dm, cell, x, &cx);CHKERRQ(ierr); 1496 ierr = DMPlexPointLocalRead(dmCell, cell, cellgeom, &cg);CHKERRQ(ierr); 1497 ierr = DMPlexPointGlobalRef(dmGrad, cell, gr, &cgrad);CHKERRQ(ierr); 1498 if (!cgrad) continue; /* Unowned overlap cell, we do not compute */ 1499 /* Limiter will be minimum value over all neighbors */ 1500 for (d = 0; d < totDim; ++d) cellPhi[d] = PETSC_MAX_REAL; 1501 for (f = 0; f < coneSize; ++f) { 1502 ierr = DMPlexApplyLimiter_Internal(dm,dmCell,lim,dim,totDim,cell,faces[f],fStart,fEnd,cellPhi,x,cellgeom,cg,cx,cgrad);CHKERRQ(ierr); 1503 } 1504 /* Apply limiter to gradient */ 1505 for (pd = 0; pd < totDim; ++pd) 1506 /* Scalar limiter applied to each component separately */ 1507 for (d = 0; d < dim; ++d) cgrad[pd*dim+d] *= cellPhi[pd]; 1508 } 1509 ierr = DMRestoreWorkArray(dm, totDim, PETSC_REAL, &cellPhi);CHKERRQ(ierr); 1510 ierr = VecRestoreArrayRead(faceGeometry, &facegeom);CHKERRQ(ierr); 1511 ierr = VecRestoreArrayRead(cellGeometry, &cellgeom);CHKERRQ(ierr); 1512 ierr = VecRestoreArrayRead(locX, &x);CHKERRQ(ierr); 1513 ierr = VecRestoreArray(grad, &gr);CHKERRQ(ierr); 1514 PetscFunctionReturn(0); 1515 } 1516 1517 #undef __FUNCT__ 1518 #define __FUNCT__ "DMPlexComputeBdResidual_Internal" 1519 PetscErrorCode DMPlexComputeBdResidual_Internal(DM dm, Vec locX, Vec locX_t, Vec locF, void *user) 1520 { 1521 DM_Plex *mesh = (DM_Plex *) dm->data; 1522 PetscSection section; 1523 PetscDS prob; 1524 DMLabel depth; 1525 PetscFECellGeom *cgeom; 1526 PetscScalar *u = NULL, *u_t = NULL, *elemVec = NULL; 1527 PetscInt dim, Nf, f, totDimBd, numBd, bd; 1528 PetscErrorCode ierr; 1529 1530 PetscFunctionBegin; 1531 ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr); 1532 ierr = DMGetDefaultSection(dm, §ion);CHKERRQ(ierr); 1533 ierr = DMGetDS(dm, &prob);CHKERRQ(ierr); 1534 ierr = PetscDSGetNumFields(prob, &Nf);CHKERRQ(ierr); 1535 ierr = PetscDSGetTotalBdDimension(prob, &totDimBd);CHKERRQ(ierr); 1536 ierr = DMPlexGetDepthLabel(dm, &depth);CHKERRQ(ierr); 1537 ierr = DMGetNumBoundary(dm, &numBd);CHKERRQ(ierr); 1538 for (bd = 0; bd < numBd; ++bd) { 1539 const char *bdLabel; 1540 DMLabel label; 1541 IS pointIS; 1542 const PetscInt *points; 1543 const PetscInt *values; 1544 PetscInt field, numValues, numPoints, p, dep, numFaces; 1545 PetscBool isEssential; 1546 1547 ierr = DMGetBoundary(dm, bd, &isEssential, NULL, &bdLabel, &field, NULL, NULL, NULL, &numValues, &values, NULL);CHKERRQ(ierr); 1548 if (isEssential) continue; 1549 if (numValues != 1) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "Bug me and I will fix this"); 1550 ierr = DMGetLabel(dm, bdLabel, &label);CHKERRQ(ierr); 1551 ierr = DMLabelGetStratumSize(label, 1, &numPoints);CHKERRQ(ierr); 1552 ierr = DMLabelGetStratumIS(label, 1, &pointIS);CHKERRQ(ierr); 1553 ierr = ISGetIndices(pointIS, &points);CHKERRQ(ierr); 1554 for (p = 0, numFaces = 0; p < numPoints; ++p) { 1555 ierr = DMLabelGetValue(depth, points[p], &dep);CHKERRQ(ierr); 1556 if (dep == dim-1) ++numFaces; 1557 } 1558 ierr = PetscMalloc3(numFaces*totDimBd,&u,numFaces,&cgeom,numFaces*totDimBd,&elemVec);CHKERRQ(ierr); 1559 if (locX_t) {ierr = PetscMalloc1(numFaces*totDimBd,&u_t);CHKERRQ(ierr);} 1560 for (p = 0, f = 0; p < numPoints; ++p) { 1561 const PetscInt point = points[p]; 1562 PetscScalar *x = NULL; 1563 PetscInt i; 1564 1565 ierr = DMLabelGetValue(depth, points[p], &dep);CHKERRQ(ierr); 1566 if (dep != dim-1) continue; 1567 ierr = DMPlexComputeCellGeometryFEM(dm, point, NULL, cgeom[f].v0, cgeom[f].J, cgeom[f].invJ, &cgeom[f].detJ);CHKERRQ(ierr); 1568 ierr = DMPlexComputeCellGeometryFVM(dm, point, NULL, NULL, cgeom[f].n);CHKERRQ(ierr); 1569 if (cgeom[f].detJ <= 0.0) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for face %d", cgeom[f].detJ, point); 1570 /* TODO: Matt, this is wrong if feBd does not match fe: i.e., if the order differs. */ 1571 ierr = DMPlexVecGetClosure(dm, section, locX, point, NULL, &x);CHKERRQ(ierr); 1572 for (i = 0; i < totDimBd; ++i) u[f*totDimBd+i] = x[i]; 1573 ierr = DMPlexVecRestoreClosure(dm, section, locX, point, NULL, &x);CHKERRQ(ierr); 1574 if (locX_t) { 1575 ierr = DMPlexVecGetClosure(dm, section, locX_t, point, NULL, &x);CHKERRQ(ierr); 1576 for (i = 0; i < totDimBd; ++i) u_t[f*totDimBd+i] = x[i]; 1577 ierr = DMPlexVecRestoreClosure(dm, section, locX_t, point, NULL, &x);CHKERRQ(ierr); 1578 } 1579 ++f; 1580 } 1581 for (f = 0; f < Nf; ++f) { 1582 PetscFE fe; 1583 PetscQuadrature q; 1584 PetscInt numQuadPoints, Nb; 1585 /* Conforming batches */ 1586 PetscInt numChunks, numBatches, numBlocks, Ne, blockSize, batchSize; 1587 /* Remainder */ 1588 PetscInt Nr, offset; 1589 1590 ierr = PetscDSGetBdDiscretization(prob, f, (PetscObject *) &fe);CHKERRQ(ierr); 1591 ierr = PetscFEGetQuadrature(fe, &q);CHKERRQ(ierr); 1592 ierr = PetscFEGetDimension(fe, &Nb);CHKERRQ(ierr); 1593 ierr = PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches);CHKERRQ(ierr); 1594 ierr = PetscQuadratureGetData(q, NULL, &numQuadPoints, NULL, NULL);CHKERRQ(ierr); 1595 blockSize = Nb*numQuadPoints; 1596 batchSize = numBlocks * blockSize; 1597 ierr = PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches);CHKERRQ(ierr); 1598 numChunks = numFaces / (numBatches*batchSize); 1599 Ne = numChunks*numBatches*batchSize; 1600 Nr = numFaces % (numBatches*batchSize); 1601 offset = numFaces - Nr; 1602 ierr = PetscFEIntegrateBdResidual(fe, prob, f, Ne, cgeom, u, u_t, NULL, NULL, elemVec);CHKERRQ(ierr); 1603 ierr = PetscFEIntegrateBdResidual(fe, prob, f, Nr, &cgeom[offset], &u[offset*totDimBd], u_t ? &u_t[offset*totDimBd] : NULL, NULL, NULL, &elemVec[offset*totDimBd]);CHKERRQ(ierr); 1604 } 1605 for (p = 0, f = 0; p < numPoints; ++p) { 1606 const PetscInt point = points[p]; 1607 1608 ierr = DMLabelGetValue(depth, point, &dep);CHKERRQ(ierr); 1609 if (dep != dim-1) continue; 1610 if (mesh->printFEM > 1) {ierr = DMPrintCellVector(point, "BdResidual", totDimBd, &elemVec[f*totDimBd]);CHKERRQ(ierr);} 1611 ierr = DMPlexVecSetClosure(dm, NULL, locF, point, &elemVec[f*totDimBd], ADD_ALL_VALUES);CHKERRQ(ierr); 1612 ++f; 1613 } 1614 ierr = ISRestoreIndices(pointIS, &points);CHKERRQ(ierr); 1615 ierr = ISDestroy(&pointIS);CHKERRQ(ierr); 1616 ierr = PetscFree3(u,cgeom,elemVec);CHKERRQ(ierr); 1617 if (locX_t) {ierr = PetscFree(u_t);CHKERRQ(ierr);} 1618 } 1619 PetscFunctionReturn(0); 1620 } 1621 1622 #undef __FUNCT__ 1623 #define __FUNCT__ "DMPlexReconstructGradientsFVM" 1624 /*@ 1625 DMPlexReconstructGradientsFVM - reconstruct the gradient of a vector using a finite volume method. 1626 1627 Input Parameters: 1628 + dm - the mesh 1629 - locX - the local representation of the vector 1630 1631 Output Parameter: 1632 . grad - the global representation of the gradient 1633 1634 Level: developer 1635 1636 .seealso: DMPlexSNESGetGradientDM() 1637 @*/ 1638 PetscErrorCode DMPlexReconstructGradientsFVM(DM dm, Vec locX, Vec grad) 1639 { 1640 PetscDS prob; 1641 PetscInt Nf, f, fStart, fEnd; 1642 PetscBool useFVM; 1643 PetscFV fvm = NULL; 1644 Vec faceGeometryFVM, cellGeometryFVM; 1645 PetscFVCellGeom *cgeomFVM = NULL; 1646 PetscFVFaceGeom *fgeomFVM = NULL; 1647 DM dmGrad = NULL; 1648 PetscErrorCode ierr; 1649 1650 PetscFunctionBegin; 1651 ierr = DMGetDS(dm, &prob);CHKERRQ(ierr); 1652 ierr = PetscDSGetNumFields(prob, &Nf);CHKERRQ(ierr); 1653 for (f = 0; f < Nf; ++f) { 1654 PetscObject obj; 1655 PetscClassId id; 1656 1657 ierr = PetscDSGetDiscretization(prob, f, &obj);CHKERRQ(ierr); 1658 ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr); 1659 if (id == PETSCFV_CLASSID) {useFVM = PETSC_TRUE; fvm = (PetscFV) obj;} 1660 } 1661 if (!useFVM) SETERRQ(PetscObjectComm((PetscObject)dm),PETSC_ERR_SUP,"This dm does not have a finite volume discretization"); 1662 ierr = DMPlexSNESGetGradientDM(dm, fvm, &dmGrad);CHKERRQ(ierr); 1663 if (!dmGrad) SETERRQ(PetscObjectComm((PetscObject)dm),PETSC_ERR_SUP,"This dm's finite volume discretization does not reconstruct gradients"); 1664 ierr = DMPlexSNESGetGeometryFVM(dm, &faceGeometryFVM, &cellGeometryFVM, NULL);CHKERRQ(ierr); 1665 ierr = VecGetArrayRead(faceGeometryFVM, (const PetscScalar **) &fgeomFVM);CHKERRQ(ierr); 1666 ierr = VecGetArrayRead(cellGeometryFVM, (const PetscScalar **) &cgeomFVM);CHKERRQ(ierr); 1667 ierr = DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);CHKERRQ(ierr); 1668 ierr = DMPlexReconstructGradients_Internal(dm, fStart, fEnd, faceGeometryFVM, cellGeometryFVM, locX, grad);CHKERRQ(ierr); 1669 PetscFunctionReturn(0); 1670 } 1671 1672 #undef __FUNCT__ 1673 #define __FUNCT__ "DMPlexComputeResidual_Internal" 1674 PetscErrorCode DMPlexComputeResidual_Internal(DM dm, PetscInt cStart, PetscInt cEnd, PetscReal time, Vec locX, Vec locX_t, Vec locF, void *user) 1675 { 1676 DM_Plex *mesh = (DM_Plex *) dm->data; 1677 const char *name = "Residual"; 1678 DM dmAux = NULL; 1679 DM dmGrad = NULL; 1680 DMLabel ghostLabel = NULL; 1681 PetscDS prob = NULL; 1682 PetscDS probAux = NULL; 1683 PetscSection section = NULL; 1684 PetscBool useFEM = PETSC_FALSE; 1685 PetscBool useFVM = PETSC_FALSE; 1686 PetscBool isImplicit = (locX_t || time == PETSC_MIN_REAL) ? PETSC_TRUE : PETSC_FALSE; 1687 PetscFV fvm = NULL; 1688 PetscFECellGeom *cgeomFEM = NULL; 1689 PetscScalar *cgeomScal; 1690 PetscFVCellGeom *cgeomFVM = NULL; 1691 PetscFVFaceGeom *fgeomFVM = NULL; 1692 Vec locA, cellGeometryFEM = NULL, cellGeometryFVM = NULL, faceGeometryFVM = NULL, grad, locGrad = NULL; 1693 PetscScalar *u, *u_t, *a, *uL, *uR; 1694 PetscInt Nf, f, totDim, totDimAux, numChunks, cellChunkSize, faceChunkSize, chunk, fStart, fEnd; 1695 PetscErrorCode ierr; 1696 1697 PetscFunctionBegin; 1698 ierr = PetscLogEventBegin(DMPLEX_ResidualFEM,dm,0,0,0);CHKERRQ(ierr); 1699 /* TODO The places where we have to use isFE are probably the member functions for the PetscDisc class */ 1700 /* TODO The FVM geometry is over-manipulated. Make the precalc functions return exactly what we need */ 1701 /* FEM+FVM */ 1702 /* 1: Get sizes from dm and dmAux */ 1703 ierr = DMGetDefaultSection(dm, §ion);CHKERRQ(ierr); 1704 ierr = DMGetLabel(dm, "ghost", &ghostLabel);CHKERRQ(ierr); 1705 ierr = DMGetDS(dm, &prob);CHKERRQ(ierr); 1706 ierr = PetscDSGetNumFields(prob, &Nf);CHKERRQ(ierr); 1707 ierr = PetscDSGetTotalDimension(prob, &totDim);CHKERRQ(ierr); 1708 ierr = PetscObjectQuery((PetscObject) dm, "A", (PetscObject *) &locA);CHKERRQ(ierr); 1709 if (locA) { 1710 ierr = VecGetDM(locA, &dmAux);CHKERRQ(ierr); 1711 ierr = DMGetDS(dmAux, &probAux);CHKERRQ(ierr); 1712 ierr = PetscDSGetTotalDimension(probAux, &totDimAux);CHKERRQ(ierr); 1713 } 1714 /* 2: Get geometric data */ 1715 for (f = 0; f < Nf; ++f) { 1716 PetscObject obj; 1717 PetscClassId id; 1718 PetscBool fimp; 1719 1720 ierr = PetscDSGetImplicit(prob, f, &fimp);CHKERRQ(ierr); 1721 if (isImplicit != fimp) continue; 1722 ierr = PetscDSGetDiscretization(prob, f, &obj);CHKERRQ(ierr); 1723 ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr); 1724 if (id == PETSCFE_CLASSID) {useFEM = PETSC_TRUE;} 1725 if (id == PETSCFV_CLASSID) {useFVM = PETSC_TRUE; fvm = (PetscFV) obj;} 1726 } 1727 if (useFEM) { 1728 ierr = DMPlexSNESGetGeometryFEM(dm, &cellGeometryFEM);CHKERRQ(ierr); 1729 ierr = VecGetArray(cellGeometryFEM, &cgeomScal);CHKERRQ(ierr); 1730 if (sizeof(PetscFECellGeom) % sizeof(PetscScalar)) { 1731 DM dmCell; 1732 PetscInt c; 1733 1734 ierr = VecGetDM(cellGeometryFEM,&dmCell);CHKERRQ(ierr); 1735 ierr = PetscMalloc1(cEnd-cStart,&cgeomFEM);CHKERRQ(ierr); 1736 for (c = 0; c < cEnd - cStart; c++) { 1737 PetscScalar *thisgeom; 1738 1739 ierr = DMPlexPointLocalRef(dmCell, c + cStart, cgeomScal, &thisgeom);CHKERRQ(ierr); 1740 cgeomFEM[c] = *((PetscFECellGeom *) thisgeom); 1741 } 1742 } 1743 else { 1744 cgeomFEM = (PetscFECellGeom *) cgeomScal; 1745 } 1746 } 1747 if (useFVM) { 1748 ierr = DMPlexSNESGetGeometryFVM(dm, &faceGeometryFVM, &cellGeometryFVM, NULL);CHKERRQ(ierr); 1749 ierr = VecGetArrayRead(faceGeometryFVM, (const PetscScalar **) &fgeomFVM);CHKERRQ(ierr); 1750 ierr = VecGetArrayRead(cellGeometryFVM, (const PetscScalar **) &cgeomFVM);CHKERRQ(ierr); 1751 /* Reconstruct and limit cell gradients */ 1752 ierr = DMPlexSNESGetGradientDM(dm, fvm, &dmGrad);CHKERRQ(ierr); 1753 if (dmGrad) { 1754 ierr = DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);CHKERRQ(ierr); 1755 ierr = DMGetGlobalVector(dmGrad, &grad);CHKERRQ(ierr); 1756 ierr = DMPlexReconstructGradients_Internal(dm, fStart, fEnd, faceGeometryFVM, cellGeometryFVM, locX, grad);CHKERRQ(ierr); 1757 /* Communicate gradient values */ 1758 ierr = DMGetLocalVector(dmGrad, &locGrad);CHKERRQ(ierr); 1759 ierr = DMGlobalToLocalBegin(dmGrad, grad, INSERT_VALUES, locGrad);CHKERRQ(ierr); 1760 ierr = DMGlobalToLocalEnd(dmGrad, grad, INSERT_VALUES, locGrad);CHKERRQ(ierr); 1761 ierr = DMRestoreGlobalVector(dmGrad, &grad);CHKERRQ(ierr); 1762 } 1763 /* Handle non-essential (e.g. outflow) boundary values */ 1764 ierr = DMPlexInsertBoundaryValues(dm, PETSC_FALSE, locX, time, faceGeometryFVM, cellGeometryFVM, locGrad);CHKERRQ(ierr); 1765 } 1766 /* Loop over chunks */ 1767 ierr = DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);CHKERRQ(ierr); 1768 numChunks = 1; 1769 cellChunkSize = (cEnd - cStart)/numChunks; 1770 faceChunkSize = (fEnd - fStart)/numChunks; 1771 for (chunk = 0; chunk < numChunks; ++chunk) { 1772 PetscScalar *elemVec, *fluxL, *fluxR; 1773 PetscReal *vol; 1774 PetscFVFaceGeom *fgeom; 1775 PetscInt cS = cStart+chunk*cellChunkSize, cE = PetscMin(cS+cellChunkSize, cEnd), numCells = cE - cS, cell; 1776 PetscInt fS = fStart+chunk*faceChunkSize, fE = PetscMin(fS+faceChunkSize, fEnd), numFaces = fE - fS, face; 1777 1778 /* Extract field coefficients */ 1779 if (useFEM) { 1780 ierr = DMPlexGetCellFields(dm, cS, cE, locX, locX_t, locA, &u, &u_t, &a);CHKERRQ(ierr); 1781 ierr = DMGetWorkArray(dm, numCells*totDim, PETSC_SCALAR, &elemVec);CHKERRQ(ierr); 1782 ierr = PetscMemzero(elemVec, numCells*totDim * sizeof(PetscScalar));CHKERRQ(ierr); 1783 } 1784 if (useFVM) { 1785 ierr = DMPlexGetFaceFields(dm, fS, fE, locX, locX_t, faceGeometryFVM, cellGeometryFVM, locGrad, &uL, &uR);CHKERRQ(ierr); 1786 ierr = DMPlexGetFaceGeometry(dm, fS, fE, faceGeometryFVM, cellGeometryFVM, &fgeom, &vol);CHKERRQ(ierr); 1787 ierr = DMGetWorkArray(dm, numFaces*totDim, PETSC_SCALAR, &fluxL);CHKERRQ(ierr); 1788 ierr = DMGetWorkArray(dm, numFaces*totDim, PETSC_SCALAR, &fluxR);CHKERRQ(ierr); 1789 ierr = PetscMemzero(fluxL, numFaces*totDim * sizeof(PetscScalar));CHKERRQ(ierr); 1790 ierr = PetscMemzero(fluxR, numFaces*totDim * sizeof(PetscScalar));CHKERRQ(ierr); 1791 } 1792 /* TODO We will interlace both our field coefficients (u, u_t, uL, uR, etc.) and our output (elemVec, fL, fR). I think this works */ 1793 /* Loop over fields */ 1794 for (f = 0; f < Nf; ++f) { 1795 PetscObject obj; 1796 PetscClassId id; 1797 PetscBool fimp; 1798 PetscInt numChunks, numBatches, batchSize, numBlocks, blockSize, Ne, Nr, offset; 1799 1800 ierr = PetscDSGetImplicit(prob, f, &fimp);CHKERRQ(ierr); 1801 if (isImplicit != fimp) continue; 1802 ierr = PetscDSGetDiscretization(prob, f, &obj);CHKERRQ(ierr); 1803 ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr); 1804 if (id == PETSCFE_CLASSID) { 1805 PetscFE fe = (PetscFE) obj; 1806 PetscQuadrature q; 1807 PetscInt Nq, Nb; 1808 1809 ierr = PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches);CHKERRQ(ierr); 1810 1811 ierr = PetscFEGetQuadrature(fe, &q);CHKERRQ(ierr); 1812 ierr = PetscQuadratureGetData(q, NULL, &Nq, NULL, NULL);CHKERRQ(ierr); 1813 ierr = PetscFEGetDimension(fe, &Nb);CHKERRQ(ierr); 1814 blockSize = Nb*Nq; 1815 batchSize = numBlocks * blockSize; 1816 ierr = PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches);CHKERRQ(ierr); 1817 numChunks = numCells / (numBatches*batchSize); 1818 Ne = numChunks*numBatches*batchSize; 1819 Nr = numCells % (numBatches*batchSize); 1820 offset = numCells - Nr; 1821 /* Integrate FE residual to get elemVec (need fields at quadrature points) */ 1822 /* For FV, I think we use a P0 basis and the cell coefficients (for subdivided cells, we can tweak the basis tabulation to be the indicator function) */ 1823 ierr = PetscFEIntegrateResidual(fe, prob, f, Ne, cgeomFEM, u, u_t, probAux, a, elemVec);CHKERRQ(ierr); 1824 ierr = PetscFEIntegrateResidual(fe, prob, f, Nr, &cgeomFEM[offset], &u[offset*totDim], u_t ? &u_t[offset*totDim] : NULL, probAux, &a[offset*totDimAux], &elemVec[offset*totDim]);CHKERRQ(ierr); 1825 } else if (id == PETSCFV_CLASSID) { 1826 PetscFV fv = (PetscFV) obj; 1827 1828 Ne = numFaces; 1829 Nr = 0; 1830 /* Riemann solve over faces (need fields at face centroids) */ 1831 /* We need to evaluate FE fields at those coordinates */ 1832 ierr = PetscFVIntegrateRHSFunction(fv, prob, f, Ne, fgeom, vol, uL, uR, fluxL, fluxR);CHKERRQ(ierr); 1833 } else SETERRQ1(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", f); 1834 } 1835 if (sizeof(PetscFECellGeom) % sizeof(PetscScalar)) { 1836 ierr = PetscFree(cgeomFEM);CHKERRQ(ierr); 1837 } 1838 else { 1839 cgeomFEM = NULL; 1840 } 1841 if (cellGeometryFEM) {ierr = VecRestoreArray(cellGeometryFEM, &cgeomScal);CHKERRQ(ierr);} 1842 /* Loop over domain */ 1843 if (useFEM) { 1844 /* Add elemVec to locX */ 1845 for (cell = cS; cell < cE; ++cell) { 1846 if (mesh->printFEM > 1) {ierr = DMPrintCellVector(cell, name, totDim, &elemVec[cell*totDim]);CHKERRQ(ierr);} 1847 ierr = DMPlexVecSetClosure(dm, section, locF, cell, &elemVec[cell*totDim], ADD_ALL_VALUES);CHKERRQ(ierr); 1848 } 1849 } 1850 if (useFVM) { 1851 PetscScalar *fa; 1852 PetscInt iface; 1853 1854 ierr = VecGetArray(locF, &fa);CHKERRQ(ierr); 1855 for (f = 0; f < Nf; ++f) { 1856 PetscFV fv; 1857 PetscObject obj; 1858 PetscClassId id; 1859 PetscInt foff, pdim; 1860 1861 ierr = PetscDSGetDiscretization(prob, f, &obj);CHKERRQ(ierr); 1862 ierr = PetscDSGetFieldOffset(prob, f, &foff);CHKERRQ(ierr); 1863 ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr); 1864 if (id != PETSCFV_CLASSID) continue; 1865 fv = (PetscFV) obj; 1866 ierr = PetscFVGetNumComponents(fv, &pdim);CHKERRQ(ierr); 1867 /* Accumulate fluxes to cells */ 1868 for (face = fS, iface = 0; face < fE; ++face) { 1869 const PetscInt *cells; 1870 PetscScalar *fL, *fR; 1871 PetscInt ghost, d, nsupp; 1872 1873 ierr = DMLabelGetValue(ghostLabel, face, &ghost);CHKERRQ(ierr); 1874 ierr = DMPlexGetSupportSize(dm, face, &nsupp);CHKERRQ(ierr); 1875 if (ghost >= 0) continue; 1876 if (nsupp > 2) { /* noop */ 1877 ++iface; 1878 continue; 1879 } 1880 ierr = DMPlexGetSupport(dm, face, &cells);CHKERRQ(ierr); 1881 ierr = DMPlexPointGlobalFieldRef(dm, cells[0], f, fa, &fL);CHKERRQ(ierr); 1882 ierr = DMPlexPointGlobalFieldRef(dm, cells[1], f, fa, &fR);CHKERRQ(ierr); 1883 for (d = 0; d < pdim; ++d) { 1884 if (fL) fL[d] -= fluxL[iface*totDim+foff+d]; 1885 if (fR) fR[d] += fluxR[iface*totDim+foff+d]; 1886 } 1887 ++iface; 1888 } 1889 } 1890 ierr = VecRestoreArray(locF, &fa);CHKERRQ(ierr); 1891 } 1892 /* Handle time derivative */ 1893 if (locX_t) { 1894 PetscScalar *x_t, *fa; 1895 1896 ierr = VecGetArray(locF, &fa);CHKERRQ(ierr); 1897 ierr = VecGetArray(locX_t, &x_t);CHKERRQ(ierr); 1898 for (f = 0; f < Nf; ++f) { 1899 PetscFV fv; 1900 PetscObject obj; 1901 PetscClassId id; 1902 PetscInt pdim, d; 1903 1904 ierr = PetscDSGetDiscretization(prob, f, &obj);CHKERRQ(ierr); 1905 ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr); 1906 if (id != PETSCFV_CLASSID) continue; 1907 fv = (PetscFV) obj; 1908 ierr = PetscFVGetNumComponents(fv, &pdim);CHKERRQ(ierr); 1909 for (cell = cS; cell < cE; ++cell) { 1910 PetscScalar *u_t, *r; 1911 1912 ierr = DMPlexPointLocalFieldRead(dm, cell, f, x_t, &u_t);CHKERRQ(ierr); 1913 ierr = DMPlexPointLocalFieldRef(dm, cell, f, fa, &r);CHKERRQ(ierr); 1914 for (d = 0; d < pdim; ++d) r[d] += u_t[d]; 1915 } 1916 } 1917 ierr = VecRestoreArray(locX_t, &x_t);CHKERRQ(ierr); 1918 ierr = VecRestoreArray(locF, &fa);CHKERRQ(ierr); 1919 } 1920 if (useFEM) { 1921 ierr = DMPlexRestoreCellFields(dm, cS, cE, locX, locX_t, locA, &u, &u_t, &a);CHKERRQ(ierr); 1922 ierr = DMRestoreWorkArray(dm, numCells*totDim, PETSC_SCALAR, &elemVec);CHKERRQ(ierr); 1923 } 1924 if (useFVM) { 1925 ierr = DMPlexRestoreFaceFields(dm, fS, fE, locX, locX_t, faceGeometryFVM, cellGeometryFVM, locGrad, &uL, &uR);CHKERRQ(ierr); 1926 ierr = DMPlexRestoreFaceGeometry(dm, fS, fE, faceGeometryFVM, cellGeometryFVM, &fgeom, &vol);CHKERRQ(ierr); 1927 ierr = DMRestoreWorkArray(dm, numFaces*totDim, PETSC_SCALAR, &fluxL);CHKERRQ(ierr); 1928 ierr = DMRestoreWorkArray(dm, numFaces*totDim, PETSC_SCALAR, &fluxR);CHKERRQ(ierr); 1929 if (dmGrad) {ierr = DMRestoreLocalVector(dmGrad, &locGrad);CHKERRQ(ierr);} 1930 } 1931 } 1932 1933 if (useFEM) {ierr = DMPlexComputeBdResidual_Internal(dm, locX, locX_t, locF, user);CHKERRQ(ierr);} 1934 1935 /* FEM */ 1936 /* 1: Get sizes from dm and dmAux */ 1937 /* 2: Get geometric data */ 1938 /* 3: Handle boundary values */ 1939 /* 4: Loop over domain */ 1940 /* Extract coefficients */ 1941 /* Loop over fields */ 1942 /* Set tiling for FE*/ 1943 /* Integrate FE residual to get elemVec */ 1944 /* Loop over subdomain */ 1945 /* Loop over quad points */ 1946 /* Transform coords to real space */ 1947 /* Evaluate field and aux fields at point */ 1948 /* Evaluate residual at point */ 1949 /* Transform residual to real space */ 1950 /* Add residual to elemVec */ 1951 /* Loop over domain */ 1952 /* Add elemVec to locX */ 1953 1954 /* FVM */ 1955 /* Get geometric data */ 1956 /* If using gradients */ 1957 /* Compute gradient data */ 1958 /* Loop over domain faces */ 1959 /* Count computational faces */ 1960 /* Reconstruct cell gradient */ 1961 /* Loop over domain cells */ 1962 /* Limit cell gradients */ 1963 /* Handle boundary values */ 1964 /* Loop over domain faces */ 1965 /* Read out field, centroid, normal, volume for each side of face */ 1966 /* Riemann solve over faces */ 1967 /* Loop over domain faces */ 1968 /* Accumulate fluxes to cells */ 1969 /* TODO Change printFEM to printDisc here */ 1970 if (mesh->printFEM) { 1971 Vec locFbc; 1972 PetscInt pStart, pEnd, p, maxDof; 1973 PetscScalar *zeroes; 1974 1975 ierr = VecDuplicate(locF,&locFbc);CHKERRQ(ierr); 1976 ierr = VecCopy(locF,locFbc);CHKERRQ(ierr); 1977 ierr = PetscSectionGetChart(section,&pStart,&pEnd);CHKERRQ(ierr); 1978 ierr = PetscSectionGetMaxDof(section,&maxDof);CHKERRQ(ierr); 1979 ierr = PetscCalloc1(maxDof,&zeroes);CHKERRQ(ierr); 1980 for (p = pStart; p < pEnd; p++) { 1981 ierr = VecSetValuesSection(locFbc,section,p,zeroes,INSERT_BC_VALUES);CHKERRQ(ierr); 1982 } 1983 ierr = PetscFree(zeroes);CHKERRQ(ierr); 1984 ierr = DMPrintLocalVec(dm, name, mesh->printTol, locFbc);CHKERRQ(ierr); 1985 ierr = VecDestroy(&locFbc);CHKERRQ(ierr); 1986 } 1987 ierr = PetscLogEventEnd(DMPLEX_ResidualFEM,dm,0,0,0);CHKERRQ(ierr); 1988 PetscFunctionReturn(0); 1989 } 1990 1991 #undef __FUNCT__ 1992 #define __FUNCT__ "DMPlexComputeResidualFEM_Check_Internal" 1993 static PetscErrorCode DMPlexComputeResidualFEM_Check_Internal(DM dm, Vec X, Vec X_t, Vec F, void *user) 1994 { 1995 DM dmCh, dmAux; 1996 Vec A, cellgeom; 1997 PetscDS prob, probCh, probAux = NULL; 1998 PetscQuadrature q; 1999 PetscSection section, sectionAux; 2000 PetscFECellGeom *cgeom = NULL; 2001 PetscScalar *cgeomScal; 2002 PetscScalar *elemVec, *elemVecCh, *u, *u_t, *a = NULL; 2003 PetscInt dim, Nf, f, numCells, cStart, cEnd, c; 2004 PetscInt totDim, totDimAux, diffCell = 0; 2005 PetscErrorCode ierr; 2006 2007 PetscFunctionBegin; 2008 ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr); 2009 ierr = DMGetDefaultSection(dm, §ion);CHKERRQ(ierr); 2010 ierr = DMGetDS(dm, &prob);CHKERRQ(ierr); 2011 ierr = PetscDSGetTotalDimension(prob, &totDim);CHKERRQ(ierr); 2012 ierr = PetscSectionGetNumFields(section, &Nf);CHKERRQ(ierr); 2013 ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr); 2014 numCells = cEnd - cStart; 2015 ierr = PetscObjectQuery((PetscObject) dm, "dmCh", (PetscObject *) &dmCh);CHKERRQ(ierr); 2016 ierr = DMGetDS(dmCh, &probCh);CHKERRQ(ierr); 2017 ierr = PetscObjectQuery((PetscObject) dm, "dmAux", (PetscObject *) &dmAux);CHKERRQ(ierr); 2018 ierr = PetscObjectQuery((PetscObject) dm, "A", (PetscObject *) &A);CHKERRQ(ierr); 2019 if (dmAux) { 2020 ierr = DMGetDefaultSection(dmAux, §ionAux);CHKERRQ(ierr); 2021 ierr = DMGetDS(dmAux, &probAux);CHKERRQ(ierr); 2022 ierr = PetscDSGetTotalDimension(probAux, &totDimAux);CHKERRQ(ierr); 2023 } 2024 ierr = VecSet(F, 0.0);CHKERRQ(ierr); 2025 ierr = PetscMalloc3(numCells*totDim,&u,X_t ? numCells*totDim : 0,&u_t,numCells*totDim,&elemVec);CHKERRQ(ierr); 2026 ierr = PetscMalloc1(numCells*totDim,&elemVecCh);CHKERRQ(ierr); 2027 if (dmAux) {ierr = PetscMalloc1(numCells*totDimAux, &a);CHKERRQ(ierr);} 2028 ierr = DMPlexSNESGetGeometryFEM(dm, &cellgeom);CHKERRQ(ierr); 2029 ierr = VecGetArray(cellgeom, &cgeomScal);CHKERRQ(ierr); 2030 if (sizeof(PetscFECellGeom) % sizeof(PetscScalar)) { 2031 DM dmCell; 2032 2033 ierr = VecGetDM(cellgeom,&dmCell);CHKERRQ(ierr); 2034 ierr = PetscMalloc1(cEnd-cStart,&cgeom);CHKERRQ(ierr); 2035 for (c = 0; c < cEnd - cStart; c++) { 2036 PetscScalar *thisgeom; 2037 2038 ierr = DMPlexPointLocalRef(dmCell, c + cStart, cgeomScal, &thisgeom);CHKERRQ(ierr); 2039 cgeom[c] = *((PetscFECellGeom *) thisgeom); 2040 } 2041 } 2042 else { 2043 cgeom = (PetscFECellGeom *) cgeomScal; 2044 } 2045 for (c = cStart; c < cEnd; ++c) { 2046 PetscScalar *x = NULL, *x_t = NULL; 2047 PetscInt i; 2048 2049 ierr = DMPlexVecGetClosure(dm, section, X, c, NULL, &x);CHKERRQ(ierr); 2050 for (i = 0; i < totDim; ++i) u[c*totDim+i] = x[i]; 2051 ierr = DMPlexVecRestoreClosure(dm, section, X, c, NULL, &x);CHKERRQ(ierr); 2052 if (X_t) { 2053 ierr = DMPlexVecGetClosure(dm, section, X_t, c, NULL, &x_t);CHKERRQ(ierr); 2054 for (i = 0; i < totDim; ++i) u_t[c*totDim+i] = x_t[i]; 2055 ierr = DMPlexVecRestoreClosure(dm, section, X_t, c, NULL, &x_t);CHKERRQ(ierr); 2056 } 2057 if (dmAux) { 2058 DM dmAuxPlex; 2059 2060 ierr = DMSNESConvertPlex(dmAux,&dmAuxPlex, PETSC_FALSE);CHKERRQ(ierr); 2061 ierr = DMPlexVecGetClosure(dmAuxPlex, sectionAux, A, c, NULL, &x);CHKERRQ(ierr); 2062 for (i = 0; i < totDimAux; ++i) a[c*totDimAux+i] = x[i]; 2063 ierr = DMPlexVecRestoreClosure(dmAuxPlex, sectionAux, A, c, NULL, &x);CHKERRQ(ierr); 2064 ierr = DMDestroy(&dmAuxPlex);CHKERRQ(ierr); 2065 } 2066 } 2067 for (f = 0; f < Nf; ++f) { 2068 PetscFE fe, feCh; 2069 PetscInt numQuadPoints, Nb; 2070 /* Conforming batches */ 2071 PetscInt numChunks, numBatches, numBlocks, Ne, blockSize, batchSize; 2072 /* Remainder */ 2073 PetscInt Nr, offset; 2074 2075 ierr = PetscDSGetDiscretization(prob, f, (PetscObject *) &fe);CHKERRQ(ierr); 2076 ierr = PetscDSGetDiscretization(probCh, f, (PetscObject *) &feCh);CHKERRQ(ierr); 2077 ierr = PetscFEGetQuadrature(fe, &q);CHKERRQ(ierr); 2078 ierr = PetscFEGetDimension(fe, &Nb);CHKERRQ(ierr); 2079 ierr = PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches);CHKERRQ(ierr); 2080 ierr = PetscQuadratureGetData(q, NULL, &numQuadPoints, NULL, NULL);CHKERRQ(ierr); 2081 blockSize = Nb*numQuadPoints; 2082 batchSize = numBlocks * blockSize; 2083 ierr = PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches);CHKERRQ(ierr); 2084 numChunks = numCells / (numBatches*batchSize); 2085 Ne = numChunks*numBatches*batchSize; 2086 Nr = numCells % (numBatches*batchSize); 2087 offset = numCells - Nr; 2088 ierr = PetscFEIntegrateResidual(fe, prob, f, Ne, cgeom, u, u_t, probAux, a, elemVec);CHKERRQ(ierr); 2089 ierr = PetscFEIntegrateResidual(feCh, prob, f, Ne, cgeom, u, u_t, probAux, a, elemVecCh);CHKERRQ(ierr); 2090 ierr = PetscFEIntegrateResidual(fe, prob, f, Nr, &cgeom[offset], &u[offset*totDim], u_t ? &u_t[offset*totDim] : NULL, probAux, &a[offset*totDimAux], &elemVec[offset*totDim]);CHKERRQ(ierr); 2091 ierr = PetscFEIntegrateResidual(feCh, prob, f, Nr, &cgeom[offset], &u[offset*totDim], u_t ? &u_t[offset*totDim] : NULL, probAux, &a[offset*totDimAux], &elemVecCh[offset*totDim]);CHKERRQ(ierr); 2092 } 2093 for (c = cStart; c < cEnd; ++c) { 2094 PetscBool diff = PETSC_FALSE; 2095 PetscInt d; 2096 2097 for (d = 0; d < totDim; ++d) if (PetscAbsScalar(elemVec[c*totDim+d] - elemVecCh[c*totDim+d]) > 1.0e-7) {diff = PETSC_TRUE;break;} 2098 if (diff) { 2099 ierr = PetscPrintf(PetscObjectComm((PetscObject) dm), "Different cell %d\n", c);CHKERRQ(ierr); 2100 ierr = DMPrintCellVector(c, "Residual", totDim, &elemVec[c*totDim]);CHKERRQ(ierr); 2101 ierr = DMPrintCellVector(c, "Check Residual", totDim, &elemVecCh[c*totDim]);CHKERRQ(ierr); 2102 ++diffCell; 2103 } 2104 if (diffCell > 9) break; 2105 ierr = DMPlexVecSetClosure(dm, section, F, c, &elemVec[c*totDim], ADD_ALL_VALUES);CHKERRQ(ierr); 2106 } 2107 if (sizeof(PetscFECellGeom) % sizeof(PetscScalar)) { 2108 ierr = PetscFree(cgeom);CHKERRQ(ierr); 2109 } 2110 else { 2111 cgeom = NULL; 2112 } 2113 ierr = VecRestoreArray(cellgeom, &cgeomScal);CHKERRQ(ierr); 2114 ierr = PetscFree3(u,u_t,elemVec);CHKERRQ(ierr); 2115 ierr = PetscFree(elemVecCh);CHKERRQ(ierr); 2116 if (dmAux) {ierr = PetscFree(a);CHKERRQ(ierr);} 2117 PetscFunctionReturn(0); 2118 } 2119 2120 #undef __FUNCT__ 2121 #define __FUNCT__ "DMPlexSNESComputeResidualFEM" 2122 /*@ 2123 DMPlexSNESComputeResidualFEM - Form the local residual F from the local input X using pointwise functions specified by the user 2124 2125 Input Parameters: 2126 + dm - The mesh 2127 . X - Local solution 2128 - user - The user context 2129 2130 Output Parameter: 2131 . F - Local output vector 2132 2133 Level: developer 2134 2135 .seealso: DMPlexComputeJacobianActionFEM() 2136 @*/ 2137 PetscErrorCode DMPlexSNESComputeResidualFEM(DM dm, Vec X, Vec F, void *user) 2138 { 2139 PetscObject check; 2140 PetscInt cStart, cEnd, cEndInterior; 2141 DM plex; 2142 PetscErrorCode ierr; 2143 2144 PetscFunctionBegin; 2145 ierr = DMSNESConvertPlex(dm,&plex,PETSC_TRUE);CHKERRQ(ierr); 2146 ierr = DMPlexGetHeightStratum(plex, 0, &cStart, &cEnd);CHKERRQ(ierr); 2147 ierr = DMPlexGetHybridBounds(plex, &cEndInterior, NULL, NULL, NULL);CHKERRQ(ierr); 2148 cEnd = cEndInterior < 0 ? cEnd : cEndInterior; 2149 /* The dmCh is used to check two mathematically equivalent discretizations for computational equivalence */ 2150 ierr = PetscObjectQuery((PetscObject) plex, "dmCh", &check);CHKERRQ(ierr); 2151 if (check) {ierr = DMPlexComputeResidualFEM_Check_Internal(plex, X, NULL, F, user);CHKERRQ(ierr);} 2152 else {ierr = DMPlexComputeResidual_Internal(plex, cStart, cEnd, PETSC_MIN_REAL, X, NULL, F, user);CHKERRQ(ierr);} 2153 ierr = DMDestroy(&plex);CHKERRQ(ierr); 2154 PetscFunctionReturn(0); 2155 } 2156 2157 #undef __FUNCT__ 2158 #define __FUNCT__ "DMPlexSNESComputeBoundaryFEM" 2159 /*@ 2160 DMPlexSNESComputeBoundaryFEM - Form the boundary values for the local input X 2161 2162 Input Parameters: 2163 + dm - The mesh 2164 - user - The user context 2165 2166 Output Parameter: 2167 . X - Local solution 2168 2169 Level: developer 2170 2171 .seealso: DMPlexComputeJacobianActionFEM() 2172 @*/ 2173 PetscErrorCode DMPlexSNESComputeBoundaryFEM(DM dm, Vec X, void *user) 2174 { 2175 DM plex; 2176 PetscErrorCode ierr; 2177 2178 PetscFunctionBegin; 2179 ierr = DMSNESConvertPlex(dm,&plex,PETSC_TRUE);CHKERRQ(ierr); 2180 ierr = DMPlexInsertBoundaryValues(plex, PETSC_TRUE, X, PETSC_MIN_REAL, NULL, NULL, NULL);CHKERRQ(ierr); 2181 ierr = DMDestroy(&plex);CHKERRQ(ierr); 2182 PetscFunctionReturn(0); 2183 } 2184 2185 #undef __FUNCT__ 2186 #define __FUNCT__ "DMPlexComputeJacobian_Internal" 2187 PetscErrorCode DMPlexComputeJacobian_Internal(DM dm, PetscInt cStart, PetscInt cEnd, PetscReal t, PetscReal X_tShift, Vec X, Vec X_t, Mat Jac, Mat JacP,void *user) 2188 { 2189 DM_Plex *mesh = (DM_Plex *) dm->data; 2190 const char *name = "Jacobian"; 2191 DM dmAux; 2192 DMLabel depth; 2193 Vec A, cellgeom; 2194 PetscDS prob, probAux = NULL; 2195 PetscQuadrature quad; 2196 PetscSection section, globalSection, sectionAux; 2197 PetscFECellGeom *cgeom = NULL; 2198 PetscScalar *cgeomScal; 2199 PetscScalar *elemMat, *elemMatP, *elemMatD, *u, *u_t, *a = NULL; 2200 PetscInt dim, Nf, f, fieldI, fieldJ, numCells, c; 2201 PetscInt totDim, totDimBd, totDimAux, numBd, bd; 2202 PetscBool isShell, hasPrec, hasDyn; 2203 PetscErrorCode ierr; 2204 2205 PetscFunctionBegin; 2206 ierr = PetscLogEventBegin(DMPLEX_JacobianFEM,dm,0,0,0);CHKERRQ(ierr); 2207 ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr); 2208 ierr = DMGetDefaultSection(dm, §ion);CHKERRQ(ierr); 2209 ierr = DMGetDefaultGlobalSection(dm, &globalSection);CHKERRQ(ierr); 2210 ierr = DMGetDS(dm, &prob);CHKERRQ(ierr); 2211 ierr = PetscDSGetTotalDimension(prob, &totDim);CHKERRQ(ierr); 2212 ierr = PetscDSGetTotalBdDimension(prob, &totDimBd);CHKERRQ(ierr); 2213 ierr = PetscDSHasJacobianPreconditioner(prob, &hasPrec);CHKERRQ(ierr); 2214 ierr = PetscDSHasDynamicJacobian(prob, &hasDyn);CHKERRQ(ierr); 2215 hasDyn = hasDyn && (X_tShift != 0.0) ? PETSC_TRUE : PETSC_FALSE; 2216 ierr = PetscSectionGetNumFields(section, &Nf);CHKERRQ(ierr); 2217 ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr); 2218 numCells = cEnd - cStart; 2219 ierr = PetscObjectQuery((PetscObject) dm, "dmAux", (PetscObject *) &dmAux);CHKERRQ(ierr); 2220 ierr = PetscObjectQuery((PetscObject) dm, "A", (PetscObject *) &A);CHKERRQ(ierr); 2221 if (dmAux) { 2222 ierr = DMGetDefaultSection(dmAux, §ionAux);CHKERRQ(ierr); 2223 ierr = DMGetDS(dmAux, &probAux);CHKERRQ(ierr); 2224 ierr = PetscDSGetTotalDimension(probAux, &totDimAux);CHKERRQ(ierr); 2225 } 2226 ierr = MatZeroEntries(JacP);CHKERRQ(ierr); 2227 ierr = PetscMalloc5(numCells*totDim,&u,X_t ? numCells*totDim : 0,&u_t,numCells*totDim*totDim,&elemMat,hasPrec ? numCells*totDim*totDim : 0, &elemMatP,hasDyn ? numCells*totDim*totDim : 0, &elemMatD);CHKERRQ(ierr); 2228 if (dmAux) {ierr = PetscMalloc1(numCells*totDimAux, &a);CHKERRQ(ierr);} 2229 ierr = DMPlexSNESGetGeometryFEM(dm, &cellgeom);CHKERRQ(ierr); 2230 ierr = VecGetArray(cellgeom, &cgeomScal);CHKERRQ(ierr); 2231 if (sizeof(PetscFECellGeom) % sizeof(PetscScalar)) { 2232 DM dmCell; 2233 2234 ierr = VecGetDM(cellgeom,&dmCell);CHKERRQ(ierr); 2235 ierr = PetscMalloc1(cEnd-cStart,&cgeom);CHKERRQ(ierr); 2236 for (c = 0; c < cEnd - cStart; c++) { 2237 PetscScalar *thisgeom; 2238 2239 ierr = DMPlexPointLocalRef(dmCell, c + cStart, cgeomScal, &thisgeom);CHKERRQ(ierr); 2240 cgeom[c] = *((PetscFECellGeom *) thisgeom); 2241 } 2242 } 2243 else { 2244 cgeom = (PetscFECellGeom *) cgeomScal; 2245 } 2246 for (c = cStart; c < cEnd; ++c) { 2247 PetscScalar *x = NULL, *x_t = NULL; 2248 PetscInt i; 2249 2250 ierr = DMPlexVecGetClosure(dm, section, X, c, NULL, &x);CHKERRQ(ierr); 2251 for (i = 0; i < totDim; ++i) u[(c-cStart)*totDim+i] = x[i]; 2252 ierr = DMPlexVecRestoreClosure(dm, section, X, c, NULL, &x);CHKERRQ(ierr); 2253 if (X_t) { 2254 ierr = DMPlexVecGetClosure(dm, section, X_t, c, NULL, &x_t);CHKERRQ(ierr); 2255 for (i = 0; i < totDim; ++i) u_t[(c-cStart)*totDim+i] = x_t[i]; 2256 ierr = DMPlexVecRestoreClosure(dm, section, X_t, c, NULL, &x_t);CHKERRQ(ierr); 2257 } 2258 if (dmAux) { 2259 ierr = DMPlexVecGetClosure(dmAux, sectionAux, A, c, NULL, &x);CHKERRQ(ierr); 2260 for (i = 0; i < totDimAux; ++i) a[(c-cStart)*totDimAux+i] = x[i]; 2261 ierr = DMPlexVecRestoreClosure(dmAux, sectionAux, A, c, NULL, &x);CHKERRQ(ierr); 2262 } 2263 } 2264 ierr = PetscMemzero(elemMat, numCells*totDim*totDim * sizeof(PetscScalar));CHKERRQ(ierr); 2265 if (hasPrec) {ierr = PetscMemzero(elemMatP, numCells*totDim*totDim * sizeof(PetscScalar));CHKERRQ(ierr);} 2266 if (hasDyn) {ierr = PetscMemzero(elemMatD, numCells*totDim*totDim * sizeof(PetscScalar));CHKERRQ(ierr);} 2267 for (fieldI = 0; fieldI < Nf; ++fieldI) { 2268 PetscFE fe; 2269 PetscInt numQuadPoints, Nb; 2270 /* Conforming batches */ 2271 PetscInt numChunks, numBatches, numBlocks, Ne, blockSize, batchSize; 2272 /* Remainder */ 2273 PetscInt Nr, offset; 2274 2275 ierr = PetscDSGetDiscretization(prob, fieldI, (PetscObject *) &fe);CHKERRQ(ierr); 2276 ierr = PetscFEGetQuadrature(fe, &quad);CHKERRQ(ierr); 2277 ierr = PetscFEGetDimension(fe, &Nb);CHKERRQ(ierr); 2278 ierr = PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches);CHKERRQ(ierr); 2279 ierr = PetscQuadratureGetData(quad, NULL, &numQuadPoints, NULL, NULL);CHKERRQ(ierr); 2280 blockSize = Nb*numQuadPoints; 2281 batchSize = numBlocks * blockSize; 2282 ierr = PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches);CHKERRQ(ierr); 2283 numChunks = numCells / (numBatches*batchSize); 2284 Ne = numChunks*numBatches*batchSize; 2285 Nr = numCells % (numBatches*batchSize); 2286 offset = numCells - Nr; 2287 for (fieldJ = 0; fieldJ < Nf; ++fieldJ) { 2288 ierr = PetscFEIntegrateJacobian(fe, prob, PETSCFE_JACOBIAN, fieldI, fieldJ, Ne, cgeom, u, u_t, probAux, a, elemMat);CHKERRQ(ierr); 2289 ierr = PetscFEIntegrateJacobian(fe, prob, PETSCFE_JACOBIAN, fieldI, fieldJ, Nr, &cgeom[offset], &u[offset*totDim], u_t ? &u_t[offset*totDim] : NULL, probAux, &a[offset*totDimAux], &elemMat[offset*totDim*totDim]);CHKERRQ(ierr); 2290 if (hasPrec) { 2291 ierr = PetscFEIntegrateJacobian(fe, prob, PETSCFE_JACOBIAN_PRE, fieldI, fieldJ, Ne, cgeom, u, u_t, probAux, a, elemMatP);CHKERRQ(ierr); 2292 ierr = PetscFEIntegrateJacobian(fe, prob, PETSCFE_JACOBIAN_PRE, fieldI, fieldJ, Nr, &cgeom[offset], &u[offset*totDim], u_t ? &u_t[offset*totDim] : NULL, probAux, &a[offset*totDimAux], &elemMatP[offset*totDim*totDim]);CHKERRQ(ierr); 2293 } 2294 if (hasDyn) { 2295 ierr = PetscFEIntegrateJacobian(fe, prob, PETSCFE_JACOBIAN_DYN, fieldI, fieldJ, Ne, cgeom, u, u_t, probAux, a, elemMatD);CHKERRQ(ierr); 2296 ierr = PetscFEIntegrateJacobian(fe, prob, PETSCFE_JACOBIAN_DYN, fieldI, fieldJ, Nr, &cgeom[offset], &u[offset*totDim], u_t ? &u_t[offset*totDim] : NULL, probAux, &a[offset*totDimAux], &elemMatD[offset*totDim*totDim]);CHKERRQ(ierr); 2297 } 2298 } 2299 } 2300 if (hasDyn) { 2301 for (c = 0; c < (cEnd - cStart)*totDim*totDim; ++c) elemMat[c] += X_tShift*elemMatD[c]; 2302 } 2303 for (c = cStart; c < cEnd; ++c) { 2304 if (hasPrec) { 2305 if (mesh->printFEM > 1) {ierr = DMPrintCellMatrix(c, name, totDim, totDim, &elemMat[(c-cStart)*totDim*totDim]);CHKERRQ(ierr);} 2306 ierr = DMPlexMatSetClosure(dm, section, globalSection, Jac, c, &elemMat[(c-cStart)*totDim*totDim], ADD_VALUES);CHKERRQ(ierr); 2307 if (mesh->printFEM > 1) {ierr = DMPrintCellMatrix(c, name, totDim, totDim, &elemMatP[(c-cStart)*totDim*totDim]);CHKERRQ(ierr);} 2308 ierr = DMPlexMatSetClosure(dm, section, globalSection, JacP, c, &elemMatP[(c-cStart)*totDim*totDim], ADD_VALUES);CHKERRQ(ierr); 2309 } else { 2310 if (mesh->printFEM > 1) {ierr = DMPrintCellMatrix(c, name, totDim, totDim, &elemMat[(c-cStart)*totDim*totDim]);CHKERRQ(ierr);} 2311 ierr = DMPlexMatSetClosure(dm, section, globalSection, JacP, c, &elemMat[(c-cStart)*totDim*totDim], ADD_VALUES);CHKERRQ(ierr); 2312 } 2313 } 2314 if (sizeof(PetscFECellGeom) % sizeof(PetscScalar)) { 2315 ierr = PetscFree(cgeom);CHKERRQ(ierr); 2316 } 2317 else { 2318 cgeom = NULL; 2319 } 2320 ierr = VecRestoreArray(cellgeom, &cgeomScal);CHKERRQ(ierr); 2321 ierr = PetscFree5(u,u_t,elemMat,elemMatP,elemMatD);CHKERRQ(ierr); 2322 if (dmAux) {ierr = PetscFree(a);CHKERRQ(ierr);} 2323 ierr = DMPlexGetDepthLabel(dm, &depth);CHKERRQ(ierr); 2324 ierr = DMGetNumBoundary(dm, &numBd);CHKERRQ(ierr); 2325 ierr = DMPlexGetDepthLabel(dm, &depth);CHKERRQ(ierr); 2326 ierr = DMGetNumBoundary(dm, &numBd);CHKERRQ(ierr); 2327 for (bd = 0; bd < numBd; ++bd) { 2328 const char *bdLabel; 2329 DMLabel label; 2330 IS pointIS; 2331 const PetscInt *points; 2332 const PetscInt *values; 2333 PetscInt field, numValues, numPoints, p, dep, numFaces; 2334 PetscBool isEssential; 2335 2336 ierr = DMGetBoundary(dm, bd, &isEssential, NULL, &bdLabel, &field, NULL, NULL, NULL, &numValues, &values, NULL);CHKERRQ(ierr); 2337 if (isEssential) continue; 2338 if (numValues != 1) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "Bug me and I will fix this"); 2339 ierr = DMGetLabel(dm, bdLabel, &label);CHKERRQ(ierr); 2340 ierr = DMLabelGetStratumSize(label, 1, &numPoints);CHKERRQ(ierr); 2341 ierr = DMLabelGetStratumIS(label, 1, &pointIS);CHKERRQ(ierr); 2342 ierr = ISGetIndices(pointIS, &points);CHKERRQ(ierr); 2343 for (p = 0, numFaces = 0; p < numPoints; ++p) { 2344 ierr = DMLabelGetValue(depth, points[p], &dep);CHKERRQ(ierr); 2345 if (dep == dim-1) ++numFaces; 2346 } 2347 ierr = PetscMalloc3(numFaces*totDimBd,&u,numFaces,&cgeom,numFaces*totDimBd*totDimBd,&elemMat);CHKERRQ(ierr); 2348 if (X_t) {ierr = PetscMalloc1(numFaces*totDimBd,&u_t);CHKERRQ(ierr);} 2349 for (p = 0, f = 0; p < numPoints; ++p) { 2350 const PetscInt point = points[p]; 2351 PetscScalar *x = NULL; 2352 PetscInt i; 2353 2354 ierr = DMLabelGetValue(depth, points[p], &dep);CHKERRQ(ierr); 2355 if (dep != dim-1) continue; 2356 ierr = DMPlexComputeCellGeometryFEM(dm, point, NULL, cgeom[f].v0, cgeom[f].J, cgeom[f].invJ, &cgeom[f].detJ);CHKERRQ(ierr); 2357 ierr = DMPlexComputeCellGeometryFVM(dm, point, NULL, NULL, cgeom[f].n);CHKERRQ(ierr); 2358 if (cgeom[f].detJ <= 0.0) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for face %d", cgeom[f].detJ, point); 2359 ierr = DMPlexVecGetClosure(dm, section, X, point, NULL, &x);CHKERRQ(ierr); 2360 for (i = 0; i < totDimBd; ++i) u[f*totDimBd+i] = x[i]; 2361 ierr = DMPlexVecRestoreClosure(dm, section, X, point, NULL, &x);CHKERRQ(ierr); 2362 if (X_t) { 2363 ierr = DMPlexVecGetClosure(dm, section, X_t, point, NULL, &x);CHKERRQ(ierr); 2364 for (i = 0; i < totDimBd; ++i) u_t[f*totDimBd+i] = x[i]; 2365 ierr = DMPlexVecRestoreClosure(dm, section, X_t, point, NULL, &x);CHKERRQ(ierr); 2366 } 2367 ++f; 2368 } 2369 ierr = PetscMemzero(elemMat, numFaces*totDimBd*totDimBd * sizeof(PetscScalar));CHKERRQ(ierr); 2370 for (fieldI = 0; fieldI < Nf; ++fieldI) { 2371 PetscFE fe; 2372 PetscInt numQuadPoints, Nb; 2373 /* Conforming batches */ 2374 PetscInt numChunks, numBatches, numBlocks, Ne, blockSize, batchSize; 2375 /* Remainder */ 2376 PetscInt Nr, offset; 2377 2378 ierr = PetscDSGetBdDiscretization(prob, fieldI, (PetscObject *) &fe);CHKERRQ(ierr); 2379 ierr = PetscFEGetQuadrature(fe, &quad);CHKERRQ(ierr); 2380 ierr = PetscFEGetDimension(fe, &Nb);CHKERRQ(ierr); 2381 ierr = PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches);CHKERRQ(ierr); 2382 ierr = PetscQuadratureGetData(quad, NULL, &numQuadPoints, NULL, NULL);CHKERRQ(ierr); 2383 blockSize = Nb*numQuadPoints; 2384 batchSize = numBlocks * blockSize; 2385 ierr = PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches);CHKERRQ(ierr); 2386 numChunks = numFaces / (numBatches*batchSize); 2387 Ne = numChunks*numBatches*batchSize; 2388 Nr = numFaces % (numBatches*batchSize); 2389 offset = numFaces - Nr; 2390 for (fieldJ = 0; fieldJ < Nf; ++fieldJ) { 2391 ierr = PetscFEIntegrateBdJacobian(fe, prob, fieldI, fieldJ, Ne, cgeom, u, u_t, NULL, NULL, elemMat);CHKERRQ(ierr); 2392 ierr = PetscFEIntegrateBdJacobian(fe, prob, fieldI, fieldJ, Nr, &cgeom[offset], &u[offset*totDimBd], u_t ? &u_t[offset*totDimBd] : NULL, NULL, NULL, &elemMat[offset*totDimBd*totDimBd]);CHKERRQ(ierr); 2393 } 2394 } 2395 for (p = 0, f = 0; p < numPoints; ++p) { 2396 const PetscInt point = points[p]; 2397 2398 ierr = DMLabelGetValue(depth, point, &dep);CHKERRQ(ierr); 2399 if (dep != dim-1) continue; 2400 if (mesh->printFEM > 1) {ierr = DMPrintCellMatrix(point, "BdJacobian", totDimBd, totDimBd, &elemMat[f*totDimBd*totDimBd]);CHKERRQ(ierr);} 2401 ierr = DMPlexMatSetClosure(dm, section, globalSection, JacP, point, &elemMat[f*totDimBd*totDimBd], ADD_VALUES);CHKERRQ(ierr); 2402 ++f; 2403 } 2404 ierr = ISRestoreIndices(pointIS, &points);CHKERRQ(ierr); 2405 ierr = ISDestroy(&pointIS);CHKERRQ(ierr); 2406 ierr = PetscFree3(u,cgeom,elemMat);CHKERRQ(ierr); 2407 if (X_t) {ierr = PetscFree(u_t);CHKERRQ(ierr);} 2408 } 2409 ierr = MatAssemblyBegin(JacP, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 2410 ierr = MatAssemblyEnd(JacP, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 2411 if (mesh->printFEM) { 2412 ierr = PetscPrintf(PETSC_COMM_WORLD, "%s:\n", name);CHKERRQ(ierr); 2413 ierr = MatChop(JacP, 1.0e-10);CHKERRQ(ierr); 2414 ierr = MatView(JacP, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr); 2415 } 2416 ierr = PetscLogEventEnd(DMPLEX_JacobianFEM,dm,0,0,0);CHKERRQ(ierr); 2417 ierr = PetscObjectTypeCompare((PetscObject) Jac, MATSHELL, &isShell);CHKERRQ(ierr); 2418 if (isShell) { 2419 JacActionCtx *jctx; 2420 2421 ierr = MatShellGetContext(Jac, &jctx);CHKERRQ(ierr); 2422 ierr = VecCopy(X, jctx->u);CHKERRQ(ierr); 2423 } 2424 PetscFunctionReturn(0); 2425 } 2426 2427 #undef __FUNCT__ 2428 #define __FUNCT__ "DMPlexSNESComputeJacobianFEM" 2429 /*@ 2430 DMPlexSNESComputeJacobianFEM - Form the local portion of the Jacobian matrix J at the local solution X using pointwise functions specified by the user. 2431 2432 Input Parameters: 2433 + dm - The mesh 2434 . X - Local input vector 2435 - user - The user context 2436 2437 Output Parameter: 2438 . Jac - Jacobian matrix 2439 2440 Note: 2441 The first member of the user context must be an FEMContext. 2442 2443 We form the residual one batch of elements at a time. This allows us to offload work onto an accelerator, 2444 like a GPU, or vectorize on a multicore machine. 2445 2446 Level: developer 2447 2448 .seealso: FormFunctionLocal() 2449 @*/ 2450 PetscErrorCode DMPlexSNESComputeJacobianFEM(DM dm, Vec X, Mat Jac, Mat JacP,void *user) 2451 { 2452 PetscInt cStart, cEnd, cEndInterior; 2453 DM plex; 2454 PetscErrorCode ierr; 2455 2456 PetscFunctionBegin; 2457 ierr = DMSNESConvertPlex(dm,&plex,PETSC_TRUE);CHKERRQ(ierr); 2458 ierr = DMPlexGetHeightStratum(plex, 0, &cStart, &cEnd);CHKERRQ(ierr); 2459 ierr = DMPlexGetHybridBounds(plex, &cEndInterior, NULL, NULL, NULL);CHKERRQ(ierr); 2460 cEnd = cEndInterior < 0 ? cEnd : cEndInterior; 2461 ierr = DMPlexComputeJacobian_Internal(plex, cStart, cEnd, 0.0, 0.0, X, NULL, Jac, JacP, user);CHKERRQ(ierr); 2462 ierr = DMDestroy(&plex);CHKERRQ(ierr); 2463 PetscFunctionReturn(0); 2464 } 2465 2466 #undef __FUNCT__ 2467 #define __FUNCT__ "DMPlexSetSNESLocalFEM" 2468 /*@ 2469 DMPlexSetSNESLocalFEM - Use DMPlex's internal FEM routines to compute SNES boundary values, residual, and Jacobian. 2470 2471 Input Parameters: 2472 + dm - The DM object 2473 . boundaryctx - the user context that will be passed to pointwise evaluation of boundary values (see DMAddBoundary()) 2474 . residualctx - the user context that will be passed to pointwise evaluation of finite element residual computations (see PetscDSSetResidual()) 2475 - jacobianctx - the user context that will be passed to pointwise evaluation of finite element Jacobian construction (see PetscDSSetJacobian()) 2476 @*/ 2477 PetscErrorCode DMPlexSetSNESLocalFEM(DM dm, void *boundaryctx, void *residualctx, void *jacobianctx) 2478 { 2479 PetscErrorCode ierr; 2480 2481 PetscFunctionBegin; 2482 ierr = DMSNESSetBoundaryLocal(dm,DMPlexSNESComputeBoundaryFEM,boundaryctx);CHKERRQ(ierr); 2483 ierr = DMSNESSetFunctionLocal(dm,DMPlexSNESComputeResidualFEM,residualctx);CHKERRQ(ierr); 2484 ierr = DMSNESSetJacobianLocal(dm,DMPlexSNESComputeJacobianFEM,jacobianctx);CHKERRQ(ierr); 2485 PetscFunctionReturn(0); 2486 } 2487 2488 #undef __FUNCT__ 2489 #define __FUNCT__ "DMSNESCheckFromOptions_Internal" 2490 PetscErrorCode DMSNESCheckFromOptions_Internal(SNES snes, DM dm, Vec u, Vec sol, PetscErrorCode (**exactFuncs)(PetscInt, PetscReal, const PetscReal x[], PetscInt, PetscScalar *u, void *ctx), void **ctxs) 2491 { 2492 Mat J, M; 2493 Vec r, b; 2494 MatNullSpace nullSpace; 2495 PetscReal *error, res = 0.0; 2496 PetscInt numFields; 2497 PetscErrorCode ierr; 2498 2499 PetscFunctionBegin; 2500 ierr = VecDuplicate(u, &r);CHKERRQ(ierr); 2501 ierr = DMCreateMatrix(dm, &J);CHKERRQ(ierr); 2502 M = J; 2503 /* TODO Null space for J */ 2504 /* Check discretization error */ 2505 ierr = DMGetNumFields(dm, &numFields);CHKERRQ(ierr); 2506 ierr = PetscMalloc1(PetscMax(1, numFields), &error);CHKERRQ(ierr); 2507 if (numFields > 1) { 2508 PetscInt f; 2509 2510 ierr = DMComputeL2FieldDiff(dm, 0.0, exactFuncs, ctxs, u, error);CHKERRQ(ierr); 2511 ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: [");CHKERRQ(ierr); 2512 for (f = 0; f < numFields; ++f) { 2513 if (f) {ierr = PetscPrintf(PETSC_COMM_WORLD, ", ");CHKERRQ(ierr);} 2514 if (error[f] >= 1.0e-11) {ierr = PetscPrintf(PETSC_COMM_WORLD, "%g", error[f]);CHKERRQ(ierr);} 2515 else {ierr = PetscPrintf(PETSC_COMM_WORLD, "< 1.0e-11");CHKERRQ(ierr);} 2516 } 2517 ierr = PetscPrintf(PETSC_COMM_WORLD, "]\n");CHKERRQ(ierr); 2518 } else { 2519 ierr = DMComputeL2Diff(dm, 0.0, exactFuncs, ctxs, u, &error[0]);CHKERRQ(ierr); 2520 if (error[0] >= 1.0e-11) {ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: %g\n", error[0]);CHKERRQ(ierr);} 2521 else {ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: < 1.0e-11\n");CHKERRQ(ierr);} 2522 } 2523 ierr = PetscFree(error);CHKERRQ(ierr); 2524 /* Check residual */ 2525 ierr = SNESComputeFunction(snes, u, r);CHKERRQ(ierr); 2526 ierr = VecNorm(r, NORM_2, &res);CHKERRQ(ierr); 2527 ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Residual: %g\n", res);CHKERRQ(ierr); 2528 ierr = VecChop(r, 1.0e-10);CHKERRQ(ierr); 2529 ierr = PetscObjectSetName((PetscObject) r, "Initial Residual");CHKERRQ(ierr); 2530 ierr = PetscObjectSetOptionsPrefix((PetscObject)r,"res_");CHKERRQ(ierr); 2531 ierr = VecViewFromOptions(r, NULL, "-vec_view");CHKERRQ(ierr); 2532 /* Check Jacobian */ 2533 ierr = SNESComputeJacobian(snes, u, M, M);CHKERRQ(ierr); 2534 ierr = MatGetNullSpace(J, &nullSpace);CHKERRQ(ierr); 2535 if (nullSpace) { 2536 PetscBool isNull; 2537 ierr = MatNullSpaceTest(nullSpace, J, &isNull);CHKERRQ(ierr); 2538 if (!isNull) SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_PLIB, "The null space calculated for the system operator is invalid."); 2539 } 2540 ierr = VecDuplicate(u, &b);CHKERRQ(ierr); 2541 ierr = VecSet(r, 0.0);CHKERRQ(ierr); 2542 ierr = SNESComputeFunction(snes, r, b);CHKERRQ(ierr); 2543 ierr = MatMult(M, u, r);CHKERRQ(ierr); 2544 ierr = VecAXPY(r, 1.0, b);CHKERRQ(ierr); 2545 ierr = VecDestroy(&b);CHKERRQ(ierr); 2546 ierr = VecNorm(r, NORM_2, &res);CHKERRQ(ierr); 2547 ierr = PetscPrintf(PETSC_COMM_WORLD, "Linear L_2 Residual: %g\n", res);CHKERRQ(ierr); 2548 ierr = VecChop(r, 1.0e-10);CHKERRQ(ierr); 2549 ierr = PetscObjectSetName((PetscObject) r, "Au - b = Au + F(0)");CHKERRQ(ierr); 2550 ierr = PetscObjectSetOptionsPrefix((PetscObject)r,"linear_res_");CHKERRQ(ierr); 2551 ierr = VecViewFromOptions(r, NULL, "-vec_view");CHKERRQ(ierr); 2552 ierr = VecDestroy(&r);CHKERRQ(ierr); 2553 ierr = MatNullSpaceDestroy(&nullSpace);CHKERRQ(ierr); 2554 ierr = MatDestroy(&J);CHKERRQ(ierr); 2555 PetscFunctionReturn(0); 2556 } 2557 2558 #undef __FUNCT__ 2559 #define __FUNCT__ "DMSNESCheckFromOptions" 2560 PetscErrorCode DMSNESCheckFromOptions(SNES snes, Vec u, PetscErrorCode (**exactFuncs)(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar *u, void *ctx), void **ctxs) 2561 { 2562 DM dm; 2563 Vec sol; 2564 PetscBool check; 2565 PetscErrorCode ierr; 2566 2567 PetscFunctionBegin; 2568 ierr = PetscOptionsHasName(((PetscObject)snes)->options,((PetscObject)snes)->prefix, "-dmsnes_check", &check);CHKERRQ(ierr); 2569 if (!check) PetscFunctionReturn(0); 2570 ierr = SNESGetDM(snes, &dm);CHKERRQ(ierr); 2571 ierr = VecDuplicate(u, &sol);CHKERRQ(ierr); 2572 ierr = SNESSetSolution(snes, sol);CHKERRQ(ierr); 2573 ierr = DMSNESCheckFromOptions_Internal(snes, dm, u, sol, exactFuncs, ctxs);CHKERRQ(ierr); 2574 ierr = VecDestroy(&sol);CHKERRQ(ierr); 2575 PetscFunctionReturn(0); 2576 } 2577