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 <petscblaslapack.h> 5 #include <petsc/private/petscimpl.h> 6 #include <petsc/private/petscfeimpl.h> 7 8 /************************** Interpolation *******************************/ 9 10 static PetscErrorCode DMSNESConvertPlex(DM dm, DM *plex, PetscBool copy) 11 { 12 PetscBool isPlex; 13 PetscErrorCode ierr; 14 15 PetscFunctionBegin; 16 ierr = PetscObjectTypeCompare((PetscObject) dm, DMPLEX, &isPlex);CHKERRQ(ierr); 17 if (isPlex) { 18 *plex = dm; 19 ierr = PetscObjectReference((PetscObject) dm);CHKERRQ(ierr); 20 } else { 21 ierr = PetscObjectQuery((PetscObject) dm, "dm_plex", (PetscObject *) plex);CHKERRQ(ierr); 22 if (!*plex) { 23 ierr = DMConvert(dm,DMPLEX,plex);CHKERRQ(ierr); 24 ierr = PetscObjectCompose((PetscObject) dm, "dm_plex", (PetscObject) *plex);CHKERRQ(ierr); 25 if (copy) { 26 PetscInt i; 27 PetscObject obj; 28 const char *comps[3] = {"A","dmAux","dmCh"}; 29 30 ierr = DMCopyDMSNES(dm, *plex);CHKERRQ(ierr); 31 for (i = 0; i < 3; i++) { 32 ierr = PetscObjectQuery((PetscObject) dm, comps[i], &obj);CHKERRQ(ierr); 33 ierr = PetscObjectCompose((PetscObject) *plex, comps[i], obj);CHKERRQ(ierr); 34 } 35 } 36 } else { 37 ierr = PetscObjectReference((PetscObject) *plex);CHKERRQ(ierr); 38 } 39 } 40 PetscFunctionReturn(0); 41 } 42 43 /*@C 44 DMInterpolationCreate - Creates a DMInterpolationInfo context 45 46 Collective on comm 47 48 Input Parameter: 49 . comm - the communicator 50 51 Output Parameter: 52 . ctx - the context 53 54 Level: beginner 55 56 .seealso: DMInterpolationEvaluate(), DMInterpolationAddPoints(), DMInterpolationDestroy() 57 @*/ 58 PetscErrorCode DMInterpolationCreate(MPI_Comm comm, DMInterpolationInfo *ctx) 59 { 60 PetscErrorCode ierr; 61 62 PetscFunctionBegin; 63 PetscValidPointer(ctx, 2); 64 ierr = PetscNew(ctx);CHKERRQ(ierr); 65 66 (*ctx)->comm = comm; 67 (*ctx)->dim = -1; 68 (*ctx)->nInput = 0; 69 (*ctx)->points = NULL; 70 (*ctx)->cells = NULL; 71 (*ctx)->n = -1; 72 (*ctx)->coords = NULL; 73 PetscFunctionReturn(0); 74 } 75 76 /*@C 77 DMInterpolationSetDim - Sets the spatial dimension for the interpolation context 78 79 Not collective 80 81 Input Parameters: 82 + ctx - the context 83 - dim - the spatial dimension 84 85 Level: intermediate 86 87 .seealso: DMInterpolationGetDim(), DMInterpolationEvaluate(), DMInterpolationAddPoints() 88 @*/ 89 PetscErrorCode DMInterpolationSetDim(DMInterpolationInfo ctx, PetscInt dim) 90 { 91 PetscFunctionBegin; 92 if ((dim < 1) || (dim > 3)) SETERRQ1(ctx->comm, PETSC_ERR_ARG_OUTOFRANGE, "Invalid dimension for points: %d", dim); 93 ctx->dim = dim; 94 PetscFunctionReturn(0); 95 } 96 97 /*@C 98 DMInterpolationGetDim - Gets the spatial dimension for the interpolation context 99 100 Not collective 101 102 Input Parameter: 103 . ctx - the context 104 105 Output Parameter: 106 . dim - the spatial dimension 107 108 Level: intermediate 109 110 .seealso: DMInterpolationSetDim(), DMInterpolationEvaluate(), DMInterpolationAddPoints() 111 @*/ 112 PetscErrorCode DMInterpolationGetDim(DMInterpolationInfo ctx, PetscInt *dim) 113 { 114 PetscFunctionBegin; 115 PetscValidIntPointer(dim, 2); 116 *dim = ctx->dim; 117 PetscFunctionReturn(0); 118 } 119 120 /*@C 121 DMInterpolationSetDof - Sets the number of fields interpolated at a point for the interpolation context 122 123 Not collective 124 125 Input Parameters: 126 + ctx - the context 127 - dof - the number of fields 128 129 Level: intermediate 130 131 .seealso: DMInterpolationGetDof(), DMInterpolationEvaluate(), DMInterpolationAddPoints() 132 @*/ 133 PetscErrorCode DMInterpolationSetDof(DMInterpolationInfo ctx, PetscInt dof) 134 { 135 PetscFunctionBegin; 136 if (dof < 1) SETERRQ1(ctx->comm, PETSC_ERR_ARG_OUTOFRANGE, "Invalid number of components: %d", dof); 137 ctx->dof = dof; 138 PetscFunctionReturn(0); 139 } 140 141 /*@C 142 DMInterpolationGetDof - Gets the number of fields interpolated at a point for the interpolation context 143 144 Not collective 145 146 Input Parameter: 147 . ctx - the context 148 149 Output Parameter: 150 . dof - the number of fields 151 152 Level: intermediate 153 154 .seealso: DMInterpolationSetDof(), DMInterpolationEvaluate(), DMInterpolationAddPoints() 155 @*/ 156 PetscErrorCode DMInterpolationGetDof(DMInterpolationInfo ctx, PetscInt *dof) 157 { 158 PetscFunctionBegin; 159 PetscValidIntPointer(dof, 2); 160 *dof = ctx->dof; 161 PetscFunctionReturn(0); 162 } 163 164 /*@C 165 DMInterpolationAddPoints - Add points at which we will interpolate the fields 166 167 Not collective 168 169 Input Parameters: 170 + ctx - the context 171 . n - the number of points 172 - points - the coordinates for each point, an array of size n * dim 173 174 Note: The coordinate information is copied. 175 176 Level: intermediate 177 178 .seealso: DMInterpolationSetDim(), DMInterpolationEvaluate(), DMInterpolationCreate() 179 @*/ 180 PetscErrorCode DMInterpolationAddPoints(DMInterpolationInfo ctx, PetscInt n, PetscReal points[]) 181 { 182 PetscErrorCode ierr; 183 184 PetscFunctionBegin; 185 if (ctx->dim < 0) SETERRQ(ctx->comm, PETSC_ERR_ARG_WRONGSTATE, "The spatial dimension has not been set"); 186 if (ctx->points) SETERRQ(ctx->comm, PETSC_ERR_ARG_WRONGSTATE, "Cannot add points multiple times yet"); 187 ctx->nInput = n; 188 189 ierr = PetscMalloc1(n*ctx->dim, &ctx->points);CHKERRQ(ierr); 190 ierr = PetscMemcpy(ctx->points, points, n*ctx->dim * sizeof(PetscReal));CHKERRQ(ierr); 191 PetscFunctionReturn(0); 192 } 193 194 /*@C 195 DMInterpolationSetUp - Computea spatial indices that add in point location during interpolation 196 197 Collective on ctx 198 199 Input Parameters: 200 + ctx - the context 201 . dm - the DM for the function space used for interpolation 202 - redundantPoints - If PETSC_TRUE, all processes are passing in the same array of points. Otherwise, points need to be communicated among processes. 203 204 Level: intermediate 205 206 .seealso: DMInterpolationEvaluate(), DMInterpolationAddPoints(), DMInterpolationCreate() 207 @*/ 208 PetscErrorCode DMInterpolationSetUp(DMInterpolationInfo ctx, DM dm, PetscBool redundantPoints) 209 { 210 MPI_Comm comm = ctx->comm; 211 PetscScalar *a; 212 PetscInt p, q, i; 213 PetscMPIInt rank, size; 214 PetscErrorCode ierr; 215 Vec pointVec; 216 PetscSF cellSF; 217 PetscLayout layout; 218 PetscReal *globalPoints; 219 PetscScalar *globalPointsScalar; 220 const PetscInt *ranges; 221 PetscMPIInt *counts, *displs; 222 const PetscSFNode *foundCells; 223 const PetscInt *foundPoints; 224 PetscMPIInt *foundProcs, *globalProcs; 225 PetscInt n, N, numFound; 226 227 PetscFunctionBegin; 228 PetscValidHeaderSpecific(dm, DM_CLASSID, 1); 229 ierr = MPI_Comm_size(comm, &size);CHKERRQ(ierr); 230 ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr); 231 if (ctx->dim < 0) SETERRQ(comm, PETSC_ERR_ARG_WRONGSTATE, "The spatial dimension has not been set"); 232 /* Locate points */ 233 n = ctx->nInput; 234 if (!redundantPoints) { 235 ierr = PetscLayoutCreate(comm, &layout);CHKERRQ(ierr); 236 ierr = PetscLayoutSetBlockSize(layout, 1);CHKERRQ(ierr); 237 ierr = PetscLayoutSetLocalSize(layout, n);CHKERRQ(ierr); 238 ierr = PetscLayoutSetUp(layout);CHKERRQ(ierr); 239 ierr = PetscLayoutGetSize(layout, &N);CHKERRQ(ierr); 240 /* Communicate all points to all processes */ 241 ierr = PetscMalloc3(N*ctx->dim,&globalPoints,size,&counts,size,&displs);CHKERRQ(ierr); 242 ierr = PetscLayoutGetRanges(layout, &ranges);CHKERRQ(ierr); 243 for (p = 0; p < size; ++p) { 244 counts[p] = (ranges[p+1] - ranges[p])*ctx->dim; 245 displs[p] = ranges[p]*ctx->dim; 246 } 247 ierr = MPI_Allgatherv(ctx->points, n*ctx->dim, MPIU_REAL, globalPoints, counts, displs, MPIU_REAL, comm);CHKERRQ(ierr); 248 } else { 249 N = n; 250 globalPoints = ctx->points; 251 counts = displs = NULL; 252 layout = NULL; 253 } 254 #if 0 255 ierr = PetscMalloc3(N,&foundCells,N,&foundProcs,N,&globalProcs);CHKERRQ(ierr); 256 /* foundCells[p] = m->locatePoint(&globalPoints[p*ctx->dim]); */ 257 #else 258 #if defined(PETSC_USE_COMPLEX) 259 ierr = PetscMalloc1(N*ctx->dim,&globalPointsScalar);CHKERRQ(ierr); 260 for (i=0; i<N*ctx->dim; i++) globalPointsScalar[i] = globalPoints[i]; 261 #else 262 globalPointsScalar = globalPoints; 263 #endif 264 ierr = VecCreateSeqWithArray(PETSC_COMM_SELF, ctx->dim, N*ctx->dim, globalPointsScalar, &pointVec);CHKERRQ(ierr); 265 ierr = PetscMalloc2(N,&foundProcs,N,&globalProcs);CHKERRQ(ierr); 266 for (p = 0; p < N; ++p) {foundProcs[p] = size;} 267 cellSF = NULL; 268 ierr = DMLocatePoints(dm, pointVec, DM_POINTLOCATION_REMOVE, &cellSF);CHKERRQ(ierr); 269 ierr = PetscSFGetGraph(cellSF,NULL,&numFound,&foundPoints,&foundCells);CHKERRQ(ierr); 270 #endif 271 for (p = 0; p < numFound; ++p) { 272 if (foundCells[p].index >= 0) foundProcs[foundPoints ? foundPoints[p] : p] = rank; 273 } 274 /* Let the lowest rank process own each point */ 275 ierr = MPIU_Allreduce(foundProcs, globalProcs, N, MPI_INT, MPI_MIN, comm);CHKERRQ(ierr); 276 ctx->n = 0; 277 for (p = 0; p < N; ++p) { 278 if (globalProcs[p] == size) SETERRQ4(comm, PETSC_ERR_PLIB, "Point %d: %g %g %g not located in mesh", p, (double)globalPoints[p*ctx->dim+0], (double)(ctx->dim > 1 ? globalPoints[p*ctx->dim+1] : 0.0), (double)(ctx->dim > 2 ? globalPoints[p*ctx->dim+2] : 0.0)); 279 else if (globalProcs[p] == rank) ctx->n++; 280 } 281 /* Create coordinates vector and array of owned cells */ 282 ierr = PetscMalloc1(ctx->n, &ctx->cells);CHKERRQ(ierr); 283 ierr = VecCreate(comm, &ctx->coords);CHKERRQ(ierr); 284 ierr = VecSetSizes(ctx->coords, ctx->n*ctx->dim, PETSC_DECIDE);CHKERRQ(ierr); 285 ierr = VecSetBlockSize(ctx->coords, ctx->dim);CHKERRQ(ierr); 286 ierr = VecSetType(ctx->coords,VECSTANDARD);CHKERRQ(ierr); 287 ierr = VecGetArray(ctx->coords, &a);CHKERRQ(ierr); 288 for (p = 0, q = 0, i = 0; p < N; ++p) { 289 if (globalProcs[p] == rank) { 290 PetscInt d; 291 292 for (d = 0; d < ctx->dim; ++d, ++i) a[i] = globalPoints[p*ctx->dim+d]; 293 ctx->cells[q] = foundCells[q].index; 294 ++q; 295 } 296 } 297 ierr = VecRestoreArray(ctx->coords, &a);CHKERRQ(ierr); 298 #if 0 299 ierr = PetscFree3(foundCells,foundProcs,globalProcs);CHKERRQ(ierr); 300 #else 301 ierr = PetscFree2(foundProcs,globalProcs);CHKERRQ(ierr); 302 ierr = PetscSFDestroy(&cellSF);CHKERRQ(ierr); 303 ierr = VecDestroy(&pointVec);CHKERRQ(ierr); 304 #endif 305 if ((void*)globalPointsScalar != (void*)globalPoints) {ierr = PetscFree(globalPointsScalar);CHKERRQ(ierr);} 306 if (!redundantPoints) {ierr = PetscFree3(globalPoints,counts,displs);CHKERRQ(ierr);} 307 ierr = PetscLayoutDestroy(&layout);CHKERRQ(ierr); 308 PetscFunctionReturn(0); 309 } 310 311 /*@C 312 DMInterpolationGetCoordinates - Gets a Vec with the coordinates of each interpolation point 313 314 Collective on ctx 315 316 Input Parameter: 317 . ctx - the context 318 319 Output Parameter: 320 . coordinates - the coordinates of interpolation points 321 322 Note: The local vector entries correspond to interpolation points lying on this process, according to the associated DM. This is a borrowed vector that the user should not destroy. 323 324 Level: intermediate 325 326 .seealso: DMInterpolationEvaluate(), DMInterpolationAddPoints(), DMInterpolationCreate() 327 @*/ 328 PetscErrorCode DMInterpolationGetCoordinates(DMInterpolationInfo ctx, Vec *coordinates) 329 { 330 PetscFunctionBegin; 331 PetscValidPointer(coordinates, 2); 332 if (!ctx->coords) SETERRQ(ctx->comm, PETSC_ERR_ARG_WRONGSTATE, "The interpolation context has not been setup."); 333 *coordinates = ctx->coords; 334 PetscFunctionReturn(0); 335 } 336 337 /*@C 338 DMInterpolationGetVector - Gets a Vec which can hold all the interpolated field values 339 340 Collective on ctx 341 342 Input Parameter: 343 . ctx - the context 344 345 Output Parameter: 346 . v - a vector capable of holding the interpolated field values 347 348 Note: This vector should be returned using DMInterpolationRestoreVector(). 349 350 Level: intermediate 351 352 .seealso: DMInterpolationRestoreVector(), DMInterpolationEvaluate(), DMInterpolationAddPoints(), DMInterpolationCreate() 353 @*/ 354 PetscErrorCode DMInterpolationGetVector(DMInterpolationInfo ctx, Vec *v) 355 { 356 PetscErrorCode ierr; 357 358 PetscFunctionBegin; 359 PetscValidPointer(v, 2); 360 if (!ctx->coords) SETERRQ(ctx->comm, PETSC_ERR_ARG_WRONGSTATE, "The interpolation context has not been setup."); 361 ierr = VecCreate(ctx->comm, v);CHKERRQ(ierr); 362 ierr = VecSetSizes(*v, ctx->n*ctx->dof, PETSC_DECIDE);CHKERRQ(ierr); 363 ierr = VecSetBlockSize(*v, ctx->dof);CHKERRQ(ierr); 364 ierr = VecSetType(*v,VECSTANDARD);CHKERRQ(ierr); 365 PetscFunctionReturn(0); 366 } 367 368 /*@C 369 DMInterpolationRestoreVector - Returns a Vec which can hold all the interpolated field values 370 371 Collective on ctx 372 373 Input Parameters: 374 + ctx - the context 375 - v - a vector capable of holding the interpolated field values 376 377 Level: intermediate 378 379 .seealso: DMInterpolationGetVector(), DMInterpolationEvaluate(), DMInterpolationAddPoints(), DMInterpolationCreate() 380 @*/ 381 PetscErrorCode DMInterpolationRestoreVector(DMInterpolationInfo ctx, Vec *v) 382 { 383 PetscErrorCode ierr; 384 385 PetscFunctionBegin; 386 PetscValidPointer(v, 2); 387 if (!ctx->coords) SETERRQ(ctx->comm, PETSC_ERR_ARG_WRONGSTATE, "The interpolation context has not been setup."); 388 ierr = VecDestroy(v);CHKERRQ(ierr); 389 PetscFunctionReturn(0); 390 } 391 392 PETSC_STATIC_INLINE PetscErrorCode DMInterpolate_Triangle_Private(DMInterpolationInfo ctx, DM dm, Vec xLocal, Vec v) 393 { 394 PetscReal *v0, *J, *invJ, detJ; 395 const PetscScalar *coords; 396 PetscScalar *a; 397 PetscInt p; 398 PetscErrorCode ierr; 399 400 PetscFunctionBegin; 401 ierr = PetscMalloc3(ctx->dim,&v0,ctx->dim*ctx->dim,&J,ctx->dim*ctx->dim,&invJ);CHKERRQ(ierr); 402 ierr = VecGetArrayRead(ctx->coords, &coords);CHKERRQ(ierr); 403 ierr = VecGetArray(v, &a);CHKERRQ(ierr); 404 for (p = 0; p < ctx->n; ++p) { 405 PetscInt c = ctx->cells[p]; 406 PetscScalar *x = NULL; 407 PetscReal xi[4]; 408 PetscInt d, f, comp; 409 410 ierr = DMPlexComputeCellGeometryFEM(dm, c, NULL, v0, J, invJ, &detJ);CHKERRQ(ierr); 411 if (detJ <= 0.0) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %d", (double)detJ, c); 412 ierr = DMPlexVecGetClosure(dm, NULL, xLocal, c, NULL, &x);CHKERRQ(ierr); 413 for (comp = 0; comp < ctx->dof; ++comp) a[p*ctx->dof+comp] = x[0*ctx->dof+comp]; 414 415 for (d = 0; d < ctx->dim; ++d) { 416 xi[d] = 0.0; 417 for (f = 0; f < ctx->dim; ++f) xi[d] += invJ[d*ctx->dim+f]*0.5*PetscRealPart(coords[p*ctx->dim+f] - v0[f]); 418 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]; 419 } 420 ierr = DMPlexVecRestoreClosure(dm, NULL, xLocal, c, NULL, &x);CHKERRQ(ierr); 421 } 422 ierr = VecRestoreArray(v, &a);CHKERRQ(ierr); 423 ierr = VecRestoreArrayRead(ctx->coords, &coords);CHKERRQ(ierr); 424 ierr = PetscFree3(v0, J, invJ);CHKERRQ(ierr); 425 PetscFunctionReturn(0); 426 } 427 428 PETSC_STATIC_INLINE PetscErrorCode DMInterpolate_Tetrahedron_Private(DMInterpolationInfo ctx, DM dm, Vec xLocal, Vec v) 429 { 430 PetscReal *v0, *J, *invJ, detJ; 431 const PetscScalar *coords; 432 PetscScalar *a; 433 PetscInt p; 434 PetscErrorCode ierr; 435 436 PetscFunctionBegin; 437 ierr = PetscMalloc3(ctx->dim,&v0,ctx->dim*ctx->dim,&J,ctx->dim*ctx->dim,&invJ);CHKERRQ(ierr); 438 ierr = VecGetArrayRead(ctx->coords, &coords);CHKERRQ(ierr); 439 ierr = VecGetArray(v, &a);CHKERRQ(ierr); 440 for (p = 0; p < ctx->n; ++p) { 441 PetscInt c = ctx->cells[p]; 442 const PetscInt order[3] = {2, 1, 3}; 443 PetscScalar *x = NULL; 444 PetscReal xi[4]; 445 PetscInt d, f, comp; 446 447 ierr = DMPlexComputeCellGeometryFEM(dm, c, NULL, v0, J, invJ, &detJ);CHKERRQ(ierr); 448 if (detJ <= 0.0) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %d", (double)detJ, c); 449 ierr = DMPlexVecGetClosure(dm, NULL, xLocal, c, NULL, &x);CHKERRQ(ierr); 450 for (comp = 0; comp < ctx->dof; ++comp) a[p*ctx->dof+comp] = x[0*ctx->dof+comp]; 451 452 for (d = 0; d < ctx->dim; ++d) { 453 xi[d] = 0.0; 454 for (f = 0; f < ctx->dim; ++f) xi[d] += invJ[d*ctx->dim+f]*0.5*PetscRealPart(coords[p*ctx->dim+f] - v0[f]); 455 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]; 456 } 457 ierr = DMPlexVecRestoreClosure(dm, NULL, xLocal, c, NULL, &x);CHKERRQ(ierr); 458 } 459 ierr = VecRestoreArray(v, &a);CHKERRQ(ierr); 460 ierr = VecRestoreArrayRead(ctx->coords, &coords);CHKERRQ(ierr); 461 ierr = PetscFree3(v0, J, invJ);CHKERRQ(ierr); 462 PetscFunctionReturn(0); 463 } 464 465 PETSC_STATIC_INLINE PetscErrorCode QuadMap_Private(SNES snes, Vec Xref, Vec Xreal, void *ctx) 466 { 467 const PetscScalar *vertices = (const PetscScalar*) ctx; 468 const PetscScalar x0 = vertices[0]; 469 const PetscScalar y0 = vertices[1]; 470 const PetscScalar x1 = vertices[2]; 471 const PetscScalar y1 = vertices[3]; 472 const PetscScalar x2 = vertices[4]; 473 const PetscScalar y2 = vertices[5]; 474 const PetscScalar x3 = vertices[6]; 475 const PetscScalar y3 = vertices[7]; 476 const PetscScalar f_1 = x1 - x0; 477 const PetscScalar g_1 = y1 - y0; 478 const PetscScalar f_3 = x3 - x0; 479 const PetscScalar g_3 = y3 - y0; 480 const PetscScalar f_01 = x2 - x1 - x3 + x0; 481 const PetscScalar g_01 = y2 - y1 - y3 + y0; 482 const PetscScalar *ref; 483 PetscScalar *real; 484 PetscErrorCode ierr; 485 486 PetscFunctionBegin; 487 ierr = VecGetArrayRead(Xref, &ref);CHKERRQ(ierr); 488 ierr = VecGetArray(Xreal, &real);CHKERRQ(ierr); 489 { 490 const PetscScalar p0 = ref[0]; 491 const PetscScalar p1 = ref[1]; 492 493 real[0] = x0 + f_1 * p0 + f_3 * p1 + f_01 * p0 * p1; 494 real[1] = y0 + g_1 * p0 + g_3 * p1 + g_01 * p0 * p1; 495 } 496 ierr = PetscLogFlops(28);CHKERRQ(ierr); 497 ierr = VecRestoreArrayRead(Xref, &ref);CHKERRQ(ierr); 498 ierr = VecRestoreArray(Xreal, &real);CHKERRQ(ierr); 499 PetscFunctionReturn(0); 500 } 501 502 #include <petsc/private/dmimpl.h> 503 PETSC_STATIC_INLINE PetscErrorCode QuadJacobian_Private(SNES snes, Vec Xref, Mat J, Mat M, void *ctx) 504 { 505 const PetscScalar *vertices = (const PetscScalar*) ctx; 506 const PetscScalar x0 = vertices[0]; 507 const PetscScalar y0 = vertices[1]; 508 const PetscScalar x1 = vertices[2]; 509 const PetscScalar y1 = vertices[3]; 510 const PetscScalar x2 = vertices[4]; 511 const PetscScalar y2 = vertices[5]; 512 const PetscScalar x3 = vertices[6]; 513 const PetscScalar y3 = vertices[7]; 514 const PetscScalar f_01 = x2 - x1 - x3 + x0; 515 const PetscScalar g_01 = y2 - y1 - y3 + y0; 516 const PetscScalar *ref; 517 PetscErrorCode ierr; 518 519 PetscFunctionBegin; 520 ierr = VecGetArrayRead(Xref, &ref);CHKERRQ(ierr); 521 { 522 const PetscScalar x = ref[0]; 523 const PetscScalar y = ref[1]; 524 const PetscInt rows[2] = {0, 1}; 525 PetscScalar values[4]; 526 527 values[0] = (x1 - x0 + f_01*y) * 0.5; values[1] = (x3 - x0 + f_01*x) * 0.5; 528 values[2] = (y1 - y0 + g_01*y) * 0.5; values[3] = (y3 - y0 + g_01*x) * 0.5; 529 ierr = MatSetValues(J, 2, rows, 2, rows, values, INSERT_VALUES);CHKERRQ(ierr); 530 } 531 ierr = PetscLogFlops(30);CHKERRQ(ierr); 532 ierr = VecRestoreArrayRead(Xref, &ref);CHKERRQ(ierr); 533 ierr = MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 534 ierr = MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 535 PetscFunctionReturn(0); 536 } 537 538 PETSC_STATIC_INLINE PetscErrorCode DMInterpolate_Quad_Private(DMInterpolationInfo ctx, DM dm, Vec xLocal, Vec v) 539 { 540 DM dmCoord; 541 PetscFE fem = NULL; 542 SNES snes; 543 KSP ksp; 544 PC pc; 545 Vec coordsLocal, r, ref, real; 546 Mat J; 547 const PetscScalar *coords; 548 PetscScalar *a; 549 PetscInt Nf, p; 550 const PetscInt dof = ctx->dof; 551 PetscErrorCode ierr; 552 553 PetscFunctionBegin; 554 ierr = DMGetNumFields(dm, &Nf);CHKERRQ(ierr); 555 if (Nf) {ierr = DMGetField(dm, 0, NULL, (PetscObject *) &fem);CHKERRQ(ierr);} 556 ierr = DMGetCoordinatesLocal(dm, &coordsLocal);CHKERRQ(ierr); 557 ierr = DMGetCoordinateDM(dm, &dmCoord);CHKERRQ(ierr); 558 ierr = SNESCreate(PETSC_COMM_SELF, &snes);CHKERRQ(ierr); 559 ierr = SNESSetOptionsPrefix(snes, "quad_interp_");CHKERRQ(ierr); 560 ierr = VecCreate(PETSC_COMM_SELF, &r);CHKERRQ(ierr); 561 ierr = VecSetSizes(r, 2, 2);CHKERRQ(ierr); 562 ierr = VecSetType(r,dm->vectype);CHKERRQ(ierr); 563 ierr = VecDuplicate(r, &ref);CHKERRQ(ierr); 564 ierr = VecDuplicate(r, &real);CHKERRQ(ierr); 565 ierr = MatCreate(PETSC_COMM_SELF, &J);CHKERRQ(ierr); 566 ierr = MatSetSizes(J, 2, 2, 2, 2);CHKERRQ(ierr); 567 ierr = MatSetType(J, MATSEQDENSE);CHKERRQ(ierr); 568 ierr = MatSetUp(J);CHKERRQ(ierr); 569 ierr = SNESSetFunction(snes, r, QuadMap_Private, NULL);CHKERRQ(ierr); 570 ierr = SNESSetJacobian(snes, J, J, QuadJacobian_Private, NULL);CHKERRQ(ierr); 571 ierr = SNESGetKSP(snes, &ksp);CHKERRQ(ierr); 572 ierr = KSPGetPC(ksp, &pc);CHKERRQ(ierr); 573 ierr = PCSetType(pc, PCLU);CHKERRQ(ierr); 574 ierr = SNESSetFromOptions(snes);CHKERRQ(ierr); 575 576 ierr = VecGetArrayRead(ctx->coords, &coords);CHKERRQ(ierr); 577 ierr = VecGetArray(v, &a);CHKERRQ(ierr); 578 for (p = 0; p < ctx->n; ++p) { 579 PetscScalar *x = NULL, *vertices = NULL; 580 PetscScalar *xi; 581 PetscReal xir[2]; 582 PetscInt c = ctx->cells[p], comp, coordSize, xSize; 583 584 /* Can make this do all points at once */ 585 ierr = DMPlexVecGetClosure(dmCoord, NULL, coordsLocal, c, &coordSize, &vertices);CHKERRQ(ierr); 586 if (4*2 != coordSize) SETERRQ2(ctx->comm, PETSC_ERR_ARG_SIZ, "Invalid closure size %d should be %d", coordSize, 4*2); 587 ierr = DMPlexVecGetClosure(dm, NULL, xLocal, c, &xSize, &x);CHKERRQ(ierr); 588 ierr = SNESSetFunction(snes, NULL, NULL, (void*) vertices);CHKERRQ(ierr); 589 ierr = SNESSetJacobian(snes, NULL, NULL, NULL, (void*) vertices);CHKERRQ(ierr); 590 ierr = VecGetArray(real, &xi);CHKERRQ(ierr); 591 xi[0] = coords[p*ctx->dim+0]; 592 xi[1] = coords[p*ctx->dim+1]; 593 ierr = VecRestoreArray(real, &xi);CHKERRQ(ierr); 594 ierr = SNESSolve(snes, real, ref);CHKERRQ(ierr); 595 ierr = VecGetArray(ref, &xi);CHKERRQ(ierr); 596 xir[0] = PetscRealPart(xi[0]); 597 xir[1] = PetscRealPart(xi[1]); 598 if (4*dof != xSize) { 599 PetscReal *B; 600 PetscInt d; 601 602 xir[0] = 2.0*xir[0] - 1.0; xir[1] = 2.0*xir[1] - 1.0; 603 ierr = PetscFEGetTabulation(fem, 1, xir, &B, NULL, NULL);CHKERRQ(ierr); 604 for (comp = 0; comp < dof; ++comp) { 605 a[p*dof+comp] = 0.0; 606 for (d = 0; d < xSize/dof; ++d) { 607 a[p*dof+comp] += x[d*dof+comp]*B[d*dof+comp]; 608 } 609 } 610 ierr = PetscFERestoreTabulation(fem, 1, xir, &B, NULL, NULL);CHKERRQ(ierr); 611 } else { 612 for (comp = 0; comp < dof; ++comp) 613 a[p*dof+comp] = x[0*dof+comp]*(1 - xir[0])*(1 - xir[1]) + x[1*dof+comp]*xir[0]*(1 - xir[1]) + x[2*dof+comp]*xir[0]*xir[1] + x[3*dof+comp]*(1 - xir[0])*xir[1]; 614 } 615 ierr = VecRestoreArray(ref, &xi);CHKERRQ(ierr); 616 ierr = DMPlexVecRestoreClosure(dmCoord, NULL, coordsLocal, c, &coordSize, &vertices);CHKERRQ(ierr); 617 ierr = DMPlexVecRestoreClosure(dm, NULL, xLocal, c, &xSize, &x);CHKERRQ(ierr); 618 } 619 ierr = VecRestoreArray(v, &a);CHKERRQ(ierr); 620 ierr = VecRestoreArrayRead(ctx->coords, &coords);CHKERRQ(ierr); 621 622 ierr = SNESDestroy(&snes);CHKERRQ(ierr); 623 ierr = VecDestroy(&r);CHKERRQ(ierr); 624 ierr = VecDestroy(&ref);CHKERRQ(ierr); 625 ierr = VecDestroy(&real);CHKERRQ(ierr); 626 ierr = MatDestroy(&J);CHKERRQ(ierr); 627 PetscFunctionReturn(0); 628 } 629 630 PETSC_STATIC_INLINE PetscErrorCode HexMap_Private(SNES snes, Vec Xref, Vec Xreal, void *ctx) 631 { 632 const PetscScalar *vertices = (const PetscScalar*) ctx; 633 const PetscScalar x0 = vertices[0]; 634 const PetscScalar y0 = vertices[1]; 635 const PetscScalar z0 = vertices[2]; 636 const PetscScalar x1 = vertices[9]; 637 const PetscScalar y1 = vertices[10]; 638 const PetscScalar z1 = vertices[11]; 639 const PetscScalar x2 = vertices[6]; 640 const PetscScalar y2 = vertices[7]; 641 const PetscScalar z2 = vertices[8]; 642 const PetscScalar x3 = vertices[3]; 643 const PetscScalar y3 = vertices[4]; 644 const PetscScalar z3 = vertices[5]; 645 const PetscScalar x4 = vertices[12]; 646 const PetscScalar y4 = vertices[13]; 647 const PetscScalar z4 = vertices[14]; 648 const PetscScalar x5 = vertices[15]; 649 const PetscScalar y5 = vertices[16]; 650 const PetscScalar z5 = vertices[17]; 651 const PetscScalar x6 = vertices[18]; 652 const PetscScalar y6 = vertices[19]; 653 const PetscScalar z6 = vertices[20]; 654 const PetscScalar x7 = vertices[21]; 655 const PetscScalar y7 = vertices[22]; 656 const PetscScalar z7 = vertices[23]; 657 const PetscScalar f_1 = x1 - x0; 658 const PetscScalar g_1 = y1 - y0; 659 const PetscScalar h_1 = z1 - z0; 660 const PetscScalar f_3 = x3 - x0; 661 const PetscScalar g_3 = y3 - y0; 662 const PetscScalar h_3 = z3 - z0; 663 const PetscScalar f_4 = x4 - x0; 664 const PetscScalar g_4 = y4 - y0; 665 const PetscScalar h_4 = z4 - z0; 666 const PetscScalar f_01 = x2 - x1 - x3 + x0; 667 const PetscScalar g_01 = y2 - y1 - y3 + y0; 668 const PetscScalar h_01 = z2 - z1 - z3 + z0; 669 const PetscScalar f_12 = x7 - x3 - x4 + x0; 670 const PetscScalar g_12 = y7 - y3 - y4 + y0; 671 const PetscScalar h_12 = z7 - z3 - z4 + z0; 672 const PetscScalar f_02 = x5 - x1 - x4 + x0; 673 const PetscScalar g_02 = y5 - y1 - y4 + y0; 674 const PetscScalar h_02 = z5 - z1 - z4 + z0; 675 const PetscScalar f_012 = x6 - x0 + x1 - x2 + x3 + x4 - x5 - x7; 676 const PetscScalar g_012 = y6 - y0 + y1 - y2 + y3 + y4 - y5 - y7; 677 const PetscScalar h_012 = z6 - z0 + z1 - z2 + z3 + z4 - z5 - z7; 678 const PetscScalar *ref; 679 PetscScalar *real; 680 PetscErrorCode ierr; 681 682 PetscFunctionBegin; 683 ierr = VecGetArrayRead(Xref, &ref);CHKERRQ(ierr); 684 ierr = VecGetArray(Xreal, &real);CHKERRQ(ierr); 685 { 686 const PetscScalar p0 = ref[0]; 687 const PetscScalar p1 = ref[1]; 688 const PetscScalar p2 = ref[2]; 689 690 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; 691 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; 692 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; 693 } 694 ierr = PetscLogFlops(114);CHKERRQ(ierr); 695 ierr = VecRestoreArrayRead(Xref, &ref);CHKERRQ(ierr); 696 ierr = VecRestoreArray(Xreal, &real);CHKERRQ(ierr); 697 PetscFunctionReturn(0); 698 } 699 700 PETSC_STATIC_INLINE PetscErrorCode HexJacobian_Private(SNES snes, Vec Xref, Mat J, Mat M, void *ctx) 701 { 702 const PetscScalar *vertices = (const PetscScalar*) ctx; 703 const PetscScalar x0 = vertices[0]; 704 const PetscScalar y0 = vertices[1]; 705 const PetscScalar z0 = vertices[2]; 706 const PetscScalar x1 = vertices[9]; 707 const PetscScalar y1 = vertices[10]; 708 const PetscScalar z1 = vertices[11]; 709 const PetscScalar x2 = vertices[6]; 710 const PetscScalar y2 = vertices[7]; 711 const PetscScalar z2 = vertices[8]; 712 const PetscScalar x3 = vertices[3]; 713 const PetscScalar y3 = vertices[4]; 714 const PetscScalar z3 = vertices[5]; 715 const PetscScalar x4 = vertices[12]; 716 const PetscScalar y4 = vertices[13]; 717 const PetscScalar z4 = vertices[14]; 718 const PetscScalar x5 = vertices[15]; 719 const PetscScalar y5 = vertices[16]; 720 const PetscScalar z5 = vertices[17]; 721 const PetscScalar x6 = vertices[18]; 722 const PetscScalar y6 = vertices[19]; 723 const PetscScalar z6 = vertices[20]; 724 const PetscScalar x7 = vertices[21]; 725 const PetscScalar y7 = vertices[22]; 726 const PetscScalar z7 = vertices[23]; 727 const PetscScalar f_xy = x2 - x1 - x3 + x0; 728 const PetscScalar g_xy = y2 - y1 - y3 + y0; 729 const PetscScalar h_xy = z2 - z1 - z3 + z0; 730 const PetscScalar f_yz = x7 - x3 - x4 + x0; 731 const PetscScalar g_yz = y7 - y3 - y4 + y0; 732 const PetscScalar h_yz = z7 - z3 - z4 + z0; 733 const PetscScalar f_xz = x5 - x1 - x4 + x0; 734 const PetscScalar g_xz = y5 - y1 - y4 + y0; 735 const PetscScalar h_xz = z5 - z1 - z4 + z0; 736 const PetscScalar f_xyz = x6 - x0 + x1 - x2 + x3 + x4 - x5 - x7; 737 const PetscScalar g_xyz = y6 - y0 + y1 - y2 + y3 + y4 - y5 - y7; 738 const PetscScalar h_xyz = z6 - z0 + z1 - z2 + z3 + z4 - z5 - z7; 739 const PetscScalar *ref; 740 PetscErrorCode ierr; 741 742 PetscFunctionBegin; 743 ierr = VecGetArrayRead(Xref, &ref);CHKERRQ(ierr); 744 { 745 const PetscScalar x = ref[0]; 746 const PetscScalar y = ref[1]; 747 const PetscScalar z = ref[2]; 748 const PetscInt rows[3] = {0, 1, 2}; 749 PetscScalar values[9]; 750 751 values[0] = (x1 - x0 + f_xy*y + f_xz*z + f_xyz*y*z) / 2.0; 752 values[1] = (x3 - x0 + f_xy*x + f_yz*z + f_xyz*x*z) / 2.0; 753 values[2] = (x4 - x0 + f_yz*y + f_xz*x + f_xyz*x*y) / 2.0; 754 values[3] = (y1 - y0 + g_xy*y + g_xz*z + g_xyz*y*z) / 2.0; 755 values[4] = (y3 - y0 + g_xy*x + g_yz*z + g_xyz*x*z) / 2.0; 756 values[5] = (y4 - y0 + g_yz*y + g_xz*x + g_xyz*x*y) / 2.0; 757 values[6] = (z1 - z0 + h_xy*y + h_xz*z + h_xyz*y*z) / 2.0; 758 values[7] = (z3 - z0 + h_xy*x + h_yz*z + h_xyz*x*z) / 2.0; 759 values[8] = (z4 - z0 + h_yz*y + h_xz*x + h_xyz*x*y) / 2.0; 760 761 ierr = MatSetValues(J, 3, rows, 3, rows, values, INSERT_VALUES);CHKERRQ(ierr); 762 } 763 ierr = PetscLogFlops(152);CHKERRQ(ierr); 764 ierr = VecRestoreArrayRead(Xref, &ref);CHKERRQ(ierr); 765 ierr = MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 766 ierr = MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 767 PetscFunctionReturn(0); 768 } 769 770 PETSC_STATIC_INLINE PetscErrorCode DMInterpolate_Hex_Private(DMInterpolationInfo ctx, DM dm, Vec xLocal, Vec v) 771 { 772 DM dmCoord; 773 SNES snes; 774 KSP ksp; 775 PC pc; 776 Vec coordsLocal, r, ref, real; 777 Mat J; 778 const PetscScalar *coords; 779 PetscScalar *a; 780 PetscInt p; 781 PetscErrorCode ierr; 782 783 PetscFunctionBegin; 784 ierr = DMGetCoordinatesLocal(dm, &coordsLocal);CHKERRQ(ierr); 785 ierr = DMGetCoordinateDM(dm, &dmCoord);CHKERRQ(ierr); 786 ierr = SNESCreate(PETSC_COMM_SELF, &snes);CHKERRQ(ierr); 787 ierr = SNESSetOptionsPrefix(snes, "hex_interp_");CHKERRQ(ierr); 788 ierr = VecCreate(PETSC_COMM_SELF, &r);CHKERRQ(ierr); 789 ierr = VecSetSizes(r, 3, 3);CHKERRQ(ierr); 790 ierr = VecSetType(r,dm->vectype);CHKERRQ(ierr); 791 ierr = VecDuplicate(r, &ref);CHKERRQ(ierr); 792 ierr = VecDuplicate(r, &real);CHKERRQ(ierr); 793 ierr = MatCreate(PETSC_COMM_SELF, &J);CHKERRQ(ierr); 794 ierr = MatSetSizes(J, 3, 3, 3, 3);CHKERRQ(ierr); 795 ierr = MatSetType(J, MATSEQDENSE);CHKERRQ(ierr); 796 ierr = MatSetUp(J);CHKERRQ(ierr); 797 ierr = SNESSetFunction(snes, r, HexMap_Private, NULL);CHKERRQ(ierr); 798 ierr = SNESSetJacobian(snes, J, J, HexJacobian_Private, NULL);CHKERRQ(ierr); 799 ierr = SNESGetKSP(snes, &ksp);CHKERRQ(ierr); 800 ierr = KSPGetPC(ksp, &pc);CHKERRQ(ierr); 801 ierr = PCSetType(pc, PCLU);CHKERRQ(ierr); 802 ierr = SNESSetFromOptions(snes);CHKERRQ(ierr); 803 804 ierr = VecGetArrayRead(ctx->coords, &coords);CHKERRQ(ierr); 805 ierr = VecGetArray(v, &a);CHKERRQ(ierr); 806 for (p = 0; p < ctx->n; ++p) { 807 PetscScalar *x = NULL, *vertices = NULL; 808 PetscScalar *xi; 809 PetscReal xir[3]; 810 PetscInt c = ctx->cells[p], comp, coordSize, xSize; 811 812 /* Can make this do all points at once */ 813 ierr = DMPlexVecGetClosure(dmCoord, NULL, coordsLocal, c, &coordSize, &vertices);CHKERRQ(ierr); 814 if (8*3 != coordSize) SETERRQ2(ctx->comm, PETSC_ERR_ARG_SIZ, "Invalid closure size %d should be %d", coordSize, 8*3); 815 ierr = DMPlexVecGetClosure(dm, NULL, xLocal, c, &xSize, &x);CHKERRQ(ierr); 816 if (8*ctx->dof != xSize) SETERRQ2(ctx->comm, PETSC_ERR_ARG_SIZ, "Invalid closure size %d should be %d", xSize, 8*ctx->dof); 817 ierr = SNESSetFunction(snes, NULL, NULL, (void*) vertices);CHKERRQ(ierr); 818 ierr = SNESSetJacobian(snes, NULL, NULL, NULL, (void*) vertices);CHKERRQ(ierr); 819 ierr = VecGetArray(real, &xi);CHKERRQ(ierr); 820 xi[0] = coords[p*ctx->dim+0]; 821 xi[1] = coords[p*ctx->dim+1]; 822 xi[2] = coords[p*ctx->dim+2]; 823 ierr = VecRestoreArray(real, &xi);CHKERRQ(ierr); 824 ierr = SNESSolve(snes, real, ref);CHKERRQ(ierr); 825 ierr = VecGetArray(ref, &xi);CHKERRQ(ierr); 826 xir[0] = PetscRealPart(xi[0]); 827 xir[1] = PetscRealPart(xi[1]); 828 xir[2] = PetscRealPart(xi[2]); 829 for (comp = 0; comp < ctx->dof; ++comp) { 830 a[p*ctx->dof+comp] = 831 x[0*ctx->dof+comp]*(1-xir[0])*(1-xir[1])*(1-xir[2]) + 832 x[3*ctx->dof+comp]* xir[0]*(1-xir[1])*(1-xir[2]) + 833 x[2*ctx->dof+comp]* xir[0]* xir[1]*(1-xir[2]) + 834 x[1*ctx->dof+comp]*(1-xir[0])* xir[1]*(1-xir[2]) + 835 x[4*ctx->dof+comp]*(1-xir[0])*(1-xir[1])* xir[2] + 836 x[5*ctx->dof+comp]* xir[0]*(1-xir[1])* xir[2] + 837 x[6*ctx->dof+comp]* xir[0]* xir[1]* xir[2] + 838 x[7*ctx->dof+comp]*(1-xir[0])* xir[1]* xir[2]; 839 } 840 ierr = VecRestoreArray(ref, &xi);CHKERRQ(ierr); 841 ierr = DMPlexVecRestoreClosure(dmCoord, NULL, coordsLocal, c, &coordSize, &vertices);CHKERRQ(ierr); 842 ierr = DMPlexVecRestoreClosure(dm, NULL, xLocal, c, &xSize, &x);CHKERRQ(ierr); 843 } 844 ierr = VecRestoreArray(v, &a);CHKERRQ(ierr); 845 ierr = VecRestoreArrayRead(ctx->coords, &coords);CHKERRQ(ierr); 846 847 ierr = SNESDestroy(&snes);CHKERRQ(ierr); 848 ierr = VecDestroy(&r);CHKERRQ(ierr); 849 ierr = VecDestroy(&ref);CHKERRQ(ierr); 850 ierr = VecDestroy(&real);CHKERRQ(ierr); 851 ierr = MatDestroy(&J);CHKERRQ(ierr); 852 PetscFunctionReturn(0); 853 } 854 855 /*@C 856 DMInterpolationEvaluate - Using the input from dm and x, calculates interpolated field values at the interpolation points. 857 858 Input Parameters: 859 + ctx - The DMInterpolationInfo context 860 . dm - The DM 861 - x - The local vector containing the field to be interpolated 862 863 Output Parameters: 864 . v - The vector containing the interpolated values 865 866 Note: A suitable v can be obtained using DMInterpolationGetVector(). 867 868 Level: beginner 869 870 .seealso: DMInterpolationGetVector(), DMInterpolationAddPoints(), DMInterpolationCreate() 871 @*/ 872 PetscErrorCode DMInterpolationEvaluate(DMInterpolationInfo ctx, DM dm, Vec x, Vec v) 873 { 874 PetscInt dim, coneSize, n; 875 PetscErrorCode ierr; 876 877 PetscFunctionBegin; 878 PetscValidHeaderSpecific(dm, DM_CLASSID, 2); 879 PetscValidHeaderSpecific(x, VEC_CLASSID, 3); 880 PetscValidHeaderSpecific(v, VEC_CLASSID, 4); 881 ierr = VecGetLocalSize(v, &n);CHKERRQ(ierr); 882 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); 883 if (n) { 884 ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr); 885 ierr = DMPlexGetConeSize(dm, ctx->cells[0], &coneSize);CHKERRQ(ierr); 886 if (dim == 2) { 887 if (coneSize == 3) { 888 ierr = DMInterpolate_Triangle_Private(ctx, dm, x, v);CHKERRQ(ierr); 889 } else if (coneSize == 4) { 890 ierr = DMInterpolate_Quad_Private(ctx, dm, x, v);CHKERRQ(ierr); 891 } else SETERRQ1(ctx->comm, PETSC_ERR_ARG_OUTOFRANGE, "Unsupported dimension %d for point interpolation", dim); 892 } else if (dim == 3) { 893 if (coneSize == 4) { 894 ierr = DMInterpolate_Tetrahedron_Private(ctx, dm, x, v);CHKERRQ(ierr); 895 } else { 896 ierr = DMInterpolate_Hex_Private(ctx, dm, x, v);CHKERRQ(ierr); 897 } 898 } else SETERRQ1(ctx->comm, PETSC_ERR_ARG_OUTOFRANGE, "Unsupported dimension %d for point interpolation", dim); 899 } 900 PetscFunctionReturn(0); 901 } 902 903 /*@C 904 DMInterpolationDestroy - Destroys a DMInterpolationInfo context 905 906 Collective on ctx 907 908 Input Parameter: 909 . ctx - the context 910 911 Level: beginner 912 913 .seealso: DMInterpolationEvaluate(), DMInterpolationAddPoints(), DMInterpolationCreate() 914 @*/ 915 PetscErrorCode DMInterpolationDestroy(DMInterpolationInfo *ctx) 916 { 917 PetscErrorCode ierr; 918 919 PetscFunctionBegin; 920 PetscValidPointer(ctx, 2); 921 ierr = VecDestroy(&(*ctx)->coords);CHKERRQ(ierr); 922 ierr = PetscFree((*ctx)->points);CHKERRQ(ierr); 923 ierr = PetscFree((*ctx)->cells);CHKERRQ(ierr); 924 ierr = PetscFree(*ctx);CHKERRQ(ierr); 925 *ctx = NULL; 926 PetscFunctionReturn(0); 927 } 928 929 /*@C 930 SNESMonitorFields - Monitors the residual for each field separately 931 932 Collective on SNES 933 934 Input Parameters: 935 + snes - the SNES context 936 . its - iteration number 937 . fgnorm - 2-norm of residual 938 - vf - PetscViewerAndFormat of type ASCII 939 940 Notes: 941 This routine prints the residual norm at each iteration. 942 943 Level: intermediate 944 945 .keywords: SNES, nonlinear, default, monitor, norm 946 .seealso: SNESMonitorSet(), SNESMonitorDefault() 947 @*/ 948 PetscErrorCode SNESMonitorFields(SNES snes, PetscInt its, PetscReal fgnorm, PetscViewerAndFormat *vf) 949 { 950 PetscViewer viewer = vf->viewer; 951 Vec res; 952 DM dm; 953 PetscSection s; 954 const PetscScalar *r; 955 PetscReal *lnorms, *norms; 956 PetscInt numFields, f, pStart, pEnd, p; 957 PetscErrorCode ierr; 958 959 PetscFunctionBegin; 960 PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,4); 961 ierr = SNESGetFunction(snes, &res, 0, 0);CHKERRQ(ierr); 962 ierr = SNESGetDM(snes, &dm);CHKERRQ(ierr); 963 ierr = DMGetSection(dm, &s);CHKERRQ(ierr); 964 ierr = PetscSectionGetNumFields(s, &numFields);CHKERRQ(ierr); 965 ierr = PetscSectionGetChart(s, &pStart, &pEnd);CHKERRQ(ierr); 966 ierr = PetscCalloc2(numFields, &lnorms, numFields, &norms);CHKERRQ(ierr); 967 ierr = VecGetArrayRead(res, &r);CHKERRQ(ierr); 968 for (p = pStart; p < pEnd; ++p) { 969 for (f = 0; f < numFields; ++f) { 970 PetscInt fdof, foff, d; 971 972 ierr = PetscSectionGetFieldDof(s, p, f, &fdof);CHKERRQ(ierr); 973 ierr = PetscSectionGetFieldOffset(s, p, f, &foff);CHKERRQ(ierr); 974 for (d = 0; d < fdof; ++d) lnorms[f] += PetscRealPart(PetscSqr(r[foff+d])); 975 } 976 } 977 ierr = VecRestoreArrayRead(res, &r);CHKERRQ(ierr); 978 ierr = MPIU_Allreduce(lnorms, norms, numFields, MPIU_REAL, MPIU_SUM, PetscObjectComm((PetscObject) dm));CHKERRQ(ierr); 979 ierr = PetscViewerPushFormat(viewer,vf->format);CHKERRQ(ierr); 980 ierr = PetscViewerASCIIAddTab(viewer, ((PetscObject) snes)->tablevel);CHKERRQ(ierr); 981 ierr = PetscViewerASCIIPrintf(viewer, "%3D SNES Function norm %14.12e [", its, (double) fgnorm);CHKERRQ(ierr); 982 for (f = 0; f < numFields; ++f) { 983 if (f > 0) {ierr = PetscViewerASCIIPrintf(viewer, ", ");CHKERRQ(ierr);} 984 ierr = PetscViewerASCIIPrintf(viewer, "%14.12e", (double) PetscSqrtReal(norms[f]));CHKERRQ(ierr); 985 } 986 ierr = PetscViewerASCIIPrintf(viewer, "]\n");CHKERRQ(ierr); 987 ierr = PetscViewerASCIISubtractTab(viewer, ((PetscObject) snes)->tablevel);CHKERRQ(ierr); 988 ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr); 989 ierr = PetscFree2(lnorms, norms);CHKERRQ(ierr); 990 PetscFunctionReturn(0); 991 } 992 993 /********************* Residual Computation **************************/ 994 995 996 /*@ 997 DMPlexSNESGetGeometryFVM - Return precomputed geometric data 998 999 Input Parameter: 1000 . dm - The DM 1001 1002 Output Parameters: 1003 + facegeom - The values precomputed from face geometry 1004 . cellgeom - The values precomputed from cell geometry 1005 - minRadius - The minimum radius over the mesh of an inscribed sphere in a cell 1006 1007 Level: developer 1008 1009 .seealso: DMPlexTSSetRHSFunctionLocal() 1010 @*/ 1011 PetscErrorCode DMPlexSNESGetGeometryFVM(DM dm, Vec *facegeom, Vec *cellgeom, PetscReal *minRadius) 1012 { 1013 DM plex; 1014 PetscErrorCode ierr; 1015 1016 PetscFunctionBegin; 1017 PetscValidHeaderSpecific(dm,DM_CLASSID,1); 1018 ierr = DMSNESConvertPlex(dm,&plex,PETSC_TRUE);CHKERRQ(ierr); 1019 ierr = DMPlexGetDataFVM(plex, NULL, cellgeom, facegeom, NULL);CHKERRQ(ierr); 1020 if (minRadius) {ierr = DMPlexGetMinRadius(plex, minRadius);CHKERRQ(ierr);} 1021 ierr = DMDestroy(&plex);CHKERRQ(ierr); 1022 PetscFunctionReturn(0); 1023 } 1024 1025 /*@ 1026 DMPlexSNESGetGradientDM - Return gradient data layout 1027 1028 Input Parameters: 1029 + dm - The DM 1030 - fv - The PetscFV 1031 1032 Output Parameter: 1033 . dmGrad - The layout for gradient values 1034 1035 Level: developer 1036 1037 .seealso: DMPlexSNESGetGeometryFVM() 1038 @*/ 1039 PetscErrorCode DMPlexSNESGetGradientDM(DM dm, PetscFV fv, DM *dmGrad) 1040 { 1041 DM plex; 1042 PetscBool computeGradients; 1043 PetscErrorCode ierr; 1044 1045 PetscFunctionBegin; 1046 PetscValidHeaderSpecific(dm,DM_CLASSID,1); 1047 PetscValidHeaderSpecific(fv,PETSCFV_CLASSID,2); 1048 PetscValidPointer(dmGrad,3); 1049 ierr = PetscFVGetComputeGradients(fv, &computeGradients);CHKERRQ(ierr); 1050 if (!computeGradients) {*dmGrad = NULL; PetscFunctionReturn(0);} 1051 ierr = DMSNESConvertPlex(dm,&plex,PETSC_TRUE);CHKERRQ(ierr); 1052 ierr = DMPlexGetDataFVM(plex, fv, NULL, NULL, dmGrad);CHKERRQ(ierr); 1053 ierr = DMDestroy(&plex);CHKERRQ(ierr); 1054 PetscFunctionReturn(0); 1055 } 1056 1057 /*@C 1058 DMPlexGetCellFields - Retrieve the field values values for a chunk of cells 1059 1060 Input Parameters: 1061 + dm - The DM 1062 . cellIS - The cells to include 1063 . locX - A local vector with the solution fields 1064 . locX_t - A local vector with solution field time derivatives, or NULL 1065 - locA - A local vector with auxiliary fields, or NULL 1066 1067 Output Parameters: 1068 + u - The field coefficients 1069 . u_t - The fields derivative coefficients 1070 - a - The auxiliary field coefficients 1071 1072 Level: developer 1073 1074 .seealso: DMPlexGetFaceFields() 1075 @*/ 1076 PetscErrorCode DMPlexGetCellFields(DM dm, IS cellIS, Vec locX, Vec locX_t, Vec locA, PetscScalar **u, PetscScalar **u_t, PetscScalar **a) 1077 { 1078 DM plex, plexA = NULL; 1079 PetscSection section, sectionAux; 1080 PetscDS prob; 1081 const PetscInt *cells; 1082 PetscInt cStart, cEnd, numCells, totDim, totDimAux, c; 1083 PetscErrorCode ierr; 1084 1085 PetscFunctionBegin; 1086 PetscValidHeaderSpecific(dm, DM_CLASSID, 1); 1087 PetscValidHeaderSpecific(locX, VEC_CLASSID, 4); 1088 if (locX_t) {PetscValidHeaderSpecific(locX_t, VEC_CLASSID, 5);} 1089 if (locA) {PetscValidHeaderSpecific(locA, VEC_CLASSID, 6);} 1090 PetscValidPointer(u, 7); 1091 PetscValidPointer(u_t, 8); 1092 PetscValidPointer(a, 9); 1093 ierr = DMSNESConvertPlex(dm, &plex, PETSC_FALSE);CHKERRQ(ierr); 1094 ierr = ISGetPointRange(cellIS, &cStart, &cEnd, &cells);CHKERRQ(ierr); 1095 ierr = DMGetSection(dm, §ion);CHKERRQ(ierr); 1096 ierr = DMGetCellDS(dm, cStart, &prob);CHKERRQ(ierr); 1097 ierr = PetscDSGetTotalDimension(prob, &totDim);CHKERRQ(ierr); 1098 if (locA) { 1099 DM dmAux; 1100 PetscDS probAux; 1101 1102 ierr = VecGetDM(locA, &dmAux);CHKERRQ(ierr); 1103 ierr = DMSNESConvertPlex(dmAux, &plexA, PETSC_FALSE);CHKERRQ(ierr); 1104 ierr = DMGetSection(dmAux, §ionAux);CHKERRQ(ierr); 1105 ierr = DMGetDS(dmAux, &probAux);CHKERRQ(ierr); 1106 ierr = PetscDSGetTotalDimension(probAux, &totDimAux);CHKERRQ(ierr); 1107 } 1108 numCells = cEnd - cStart; 1109 ierr = DMGetWorkArray(dm, numCells*totDim, MPIU_SCALAR, u);CHKERRQ(ierr); 1110 if (locX_t) {ierr = DMGetWorkArray(dm, numCells*totDim, MPIU_SCALAR, u_t);CHKERRQ(ierr);} else {*u_t = NULL;} 1111 if (locA) {ierr = DMGetWorkArray(dm, numCells*totDimAux, MPIU_SCALAR, a);CHKERRQ(ierr);} else {*a = NULL;} 1112 for (c = cStart; c < cEnd; ++c) { 1113 const PetscInt cell = cells ? cells[c] : c; 1114 const PetscInt cind = c - cStart; 1115 PetscScalar *x = NULL, *x_t = NULL, *ul = *u, *ul_t = *u_t, *al = *a; 1116 PetscInt i; 1117 1118 ierr = DMPlexVecGetClosure(plex, section, locX, cell, NULL, &x);CHKERRQ(ierr); 1119 for (i = 0; i < totDim; ++i) ul[cind*totDim+i] = x[i]; 1120 ierr = DMPlexVecRestoreClosure(plex, section, locX, cell, NULL, &x);CHKERRQ(ierr); 1121 if (locX_t) { 1122 ierr = DMPlexVecGetClosure(plex, section, locX_t, cell, NULL, &x_t);CHKERRQ(ierr); 1123 for (i = 0; i < totDim; ++i) ul_t[cind*totDim+i] = x_t[i]; 1124 ierr = DMPlexVecRestoreClosure(plex, section, locX_t, cell, NULL, &x_t);CHKERRQ(ierr); 1125 } 1126 if (locA) { 1127 PetscInt subcell; 1128 ierr = DMPlexGetAuxiliaryPoint(plex, plexA, cell, &subcell);CHKERRQ(ierr); 1129 ierr = DMPlexVecGetClosure(plexA, sectionAux, locA, subcell, NULL, &x);CHKERRQ(ierr); 1130 for (i = 0; i < totDimAux; ++i) al[cind*totDimAux+i] = x[i]; 1131 ierr = DMPlexVecRestoreClosure(plexA, sectionAux, locA, subcell, NULL, &x);CHKERRQ(ierr); 1132 } 1133 } 1134 ierr = DMDestroy(&plex);CHKERRQ(ierr); 1135 if (locA) {ierr = DMDestroy(&plexA);CHKERRQ(ierr);} 1136 ierr = ISRestorePointRange(cellIS, &cStart, &cEnd, &cells);CHKERRQ(ierr); 1137 PetscFunctionReturn(0); 1138 } 1139 1140 /*@C 1141 DMPlexRestoreCellFields - Restore the field values values for a chunk of cells 1142 1143 Input Parameters: 1144 + dm - The DM 1145 . cellIS - The cells to include 1146 . locX - A local vector with the solution fields 1147 . locX_t - A local vector with solution field time derivatives, or NULL 1148 - locA - A local vector with auxiliary fields, or NULL 1149 1150 Output Parameters: 1151 + u - The field coefficients 1152 . u_t - The fields derivative coefficients 1153 - a - The auxiliary field coefficients 1154 1155 Level: developer 1156 1157 .seealso: DMPlexGetFaceFields() 1158 @*/ 1159 PetscErrorCode DMPlexRestoreCellFields(DM dm, IS cellIS, Vec locX, Vec locX_t, Vec locA, PetscScalar **u, PetscScalar **u_t, PetscScalar **a) 1160 { 1161 PetscErrorCode ierr; 1162 1163 PetscFunctionBegin; 1164 ierr = DMRestoreWorkArray(dm, 0, MPIU_SCALAR, u);CHKERRQ(ierr); 1165 if (locX_t) {ierr = DMRestoreWorkArray(dm, 0, MPIU_SCALAR, u_t);CHKERRQ(ierr);} 1166 if (locA) {ierr = DMRestoreWorkArray(dm, 0, MPIU_SCALAR, a);CHKERRQ(ierr);} 1167 PetscFunctionReturn(0); 1168 } 1169 1170 /*@C 1171 DMPlexGetFaceFields - Retrieve the field values values for a chunk of faces 1172 1173 Input Parameters: 1174 + dm - The DM 1175 . fStart - The first face to include 1176 . fEnd - The first face to exclude 1177 . locX - A local vector with the solution fields 1178 . locX_t - A local vector with solution field time derivatives, or NULL 1179 . faceGeometry - A local vector with face geometry 1180 . cellGeometry - A local vector with cell geometry 1181 - locaGrad - A local vector with field gradients, or NULL 1182 1183 Output Parameters: 1184 + Nface - The number of faces with field values 1185 . uL - The field values at the left side of the face 1186 - uR - The field values at the right side of the face 1187 1188 Level: developer 1189 1190 .seealso: DMPlexGetCellFields() 1191 @*/ 1192 PetscErrorCode DMPlexGetFaceFields(DM dm, PetscInt fStart, PetscInt fEnd, Vec locX, Vec locX_t, Vec faceGeometry, Vec cellGeometry, Vec locGrad, PetscInt *Nface, PetscScalar **uL, PetscScalar **uR) 1193 { 1194 DM dmFace, dmCell, dmGrad = NULL; 1195 PetscSection section; 1196 PetscDS prob; 1197 DMLabel ghostLabel; 1198 const PetscScalar *facegeom, *cellgeom, *x, *lgrad; 1199 PetscBool *isFE; 1200 PetscInt dim, Nf, f, Nc, numFaces = fEnd - fStart, iface, face; 1201 PetscErrorCode ierr; 1202 1203 PetscFunctionBegin; 1204 PetscValidHeaderSpecific(dm, DM_CLASSID, 1); 1205 PetscValidHeaderSpecific(locX, VEC_CLASSID, 4); 1206 if (locX_t) {PetscValidHeaderSpecific(locX_t, VEC_CLASSID, 5);} 1207 PetscValidHeaderSpecific(faceGeometry, VEC_CLASSID, 6); 1208 PetscValidHeaderSpecific(cellGeometry, VEC_CLASSID, 7); 1209 if (locGrad) {PetscValidHeaderSpecific(locGrad, VEC_CLASSID, 8);} 1210 PetscValidPointer(uL, 9); 1211 PetscValidPointer(uR, 10); 1212 ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr); 1213 ierr = DMGetDS(dm, &prob);CHKERRQ(ierr); 1214 ierr = DMGetSection(dm, §ion);CHKERRQ(ierr); 1215 ierr = PetscDSGetNumFields(prob, &Nf);CHKERRQ(ierr); 1216 ierr = PetscDSGetTotalComponents(prob, &Nc);CHKERRQ(ierr); 1217 ierr = PetscMalloc1(Nf, &isFE);CHKERRQ(ierr); 1218 for (f = 0; f < Nf; ++f) { 1219 PetscObject obj; 1220 PetscClassId id; 1221 1222 ierr = PetscDSGetDiscretization(prob, f, &obj);CHKERRQ(ierr); 1223 ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr); 1224 if (id == PETSCFE_CLASSID) {isFE[f] = PETSC_TRUE;} 1225 else if (id == PETSCFV_CLASSID) {isFE[f] = PETSC_FALSE;} 1226 else {isFE[f] = PETSC_FALSE;} 1227 } 1228 ierr = DMGetLabel(dm, "ghost", &ghostLabel);CHKERRQ(ierr); 1229 ierr = VecGetArrayRead(locX, &x);CHKERRQ(ierr); 1230 ierr = VecGetDM(faceGeometry, &dmFace);CHKERRQ(ierr); 1231 ierr = VecGetArrayRead(faceGeometry, &facegeom);CHKERRQ(ierr); 1232 ierr = VecGetDM(cellGeometry, &dmCell);CHKERRQ(ierr); 1233 ierr = VecGetArrayRead(cellGeometry, &cellgeom);CHKERRQ(ierr); 1234 if (locGrad) { 1235 ierr = VecGetDM(locGrad, &dmGrad);CHKERRQ(ierr); 1236 ierr = VecGetArrayRead(locGrad, &lgrad);CHKERRQ(ierr); 1237 } 1238 ierr = DMGetWorkArray(dm, numFaces*Nc, MPIU_SCALAR, uL);CHKERRQ(ierr); 1239 ierr = DMGetWorkArray(dm, numFaces*Nc, MPIU_SCALAR, uR);CHKERRQ(ierr); 1240 /* Right now just eat the extra work for FE (could make a cell loop) */ 1241 for (face = fStart, iface = 0; face < fEnd; ++face) { 1242 const PetscInt *cells; 1243 PetscFVFaceGeom *fg; 1244 PetscFVCellGeom *cgL, *cgR; 1245 PetscScalar *xL, *xR, *gL, *gR; 1246 PetscScalar *uLl = *uL, *uRl = *uR; 1247 PetscInt ghost, nsupp, nchild; 1248 1249 ierr = DMLabelGetValue(ghostLabel, face, &ghost);CHKERRQ(ierr); 1250 ierr = DMPlexGetSupportSize(dm, face, &nsupp);CHKERRQ(ierr); 1251 ierr = DMPlexGetTreeChildren(dm, face, &nchild, NULL);CHKERRQ(ierr); 1252 if (ghost >= 0 || nsupp > 2 || nchild > 0) continue; 1253 ierr = DMPlexPointLocalRead(dmFace, face, facegeom, &fg);CHKERRQ(ierr); 1254 ierr = DMPlexGetSupport(dm, face, &cells);CHKERRQ(ierr); 1255 ierr = DMPlexPointLocalRead(dmCell, cells[0], cellgeom, &cgL);CHKERRQ(ierr); 1256 ierr = DMPlexPointLocalRead(dmCell, cells[1], cellgeom, &cgR);CHKERRQ(ierr); 1257 for (f = 0; f < Nf; ++f) { 1258 PetscInt off; 1259 1260 ierr = PetscDSGetComponentOffset(prob, f, &off);CHKERRQ(ierr); 1261 if (isFE[f]) { 1262 const PetscInt *cone; 1263 PetscInt comp, coneSizeL, coneSizeR, faceLocL, faceLocR, ldof, rdof, d; 1264 1265 xL = xR = NULL; 1266 ierr = PetscSectionGetFieldComponents(section, f, &comp);CHKERRQ(ierr); 1267 ierr = DMPlexVecGetClosure(dm, section, locX, cells[0], &ldof, (PetscScalar **) &xL);CHKERRQ(ierr); 1268 ierr = DMPlexVecGetClosure(dm, section, locX, cells[1], &rdof, (PetscScalar **) &xR);CHKERRQ(ierr); 1269 ierr = DMPlexGetCone(dm, cells[0], &cone);CHKERRQ(ierr); 1270 ierr = DMPlexGetConeSize(dm, cells[0], &coneSizeL);CHKERRQ(ierr); 1271 for (faceLocL = 0; faceLocL < coneSizeL; ++faceLocL) if (cone[faceLocL] == face) break; 1272 ierr = DMPlexGetCone(dm, cells[1], &cone);CHKERRQ(ierr); 1273 ierr = DMPlexGetConeSize(dm, cells[1], &coneSizeR);CHKERRQ(ierr); 1274 for (faceLocR = 0; faceLocR < coneSizeR; ++faceLocR) if (cone[faceLocR] == face) break; 1275 if (faceLocL == coneSizeL && faceLocR == coneSizeR) SETERRQ3(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Could not find face %d in cone of cell %d or cell %d", face, cells[0], cells[1]); 1276 /* Check that FEM field has values in the right cell (sometimes its an FV ghost cell) */ 1277 /* TODO: this is a hack that might not be right for nonconforming */ 1278 if (faceLocL < coneSizeL) { 1279 ierr = EvaluateFaceFields(prob, f, faceLocL, xL, &uLl[iface*Nc+off]);CHKERRQ(ierr); 1280 if (rdof == ldof && faceLocR < coneSizeR) {ierr = EvaluateFaceFields(prob, f, faceLocR, xR, &uRl[iface*Nc+off]);CHKERRQ(ierr);} 1281 else {for(d = 0; d < comp; ++d) uRl[iface*Nc+off+d] = uLl[iface*Nc+off+d];} 1282 } 1283 else { 1284 ierr = EvaluateFaceFields(prob, f, faceLocR, xR, &uRl[iface*Nc+off]);CHKERRQ(ierr); 1285 ierr = PetscSectionGetFieldComponents(section, f, &comp);CHKERRQ(ierr); 1286 for(d = 0; d < comp; ++d) uLl[iface*Nc+off+d] = uRl[iface*Nc+off+d]; 1287 } 1288 ierr = DMPlexVecRestoreClosure(dm, section, locX, cells[0], &ldof, (PetscScalar **) &xL);CHKERRQ(ierr); 1289 ierr = DMPlexVecRestoreClosure(dm, section, locX, cells[1], &rdof, (PetscScalar **) &xR);CHKERRQ(ierr); 1290 } else { 1291 PetscFV fv; 1292 PetscInt numComp, c; 1293 1294 ierr = PetscDSGetDiscretization(prob, f, (PetscObject *) &fv);CHKERRQ(ierr); 1295 ierr = PetscFVGetNumComponents(fv, &numComp);CHKERRQ(ierr); 1296 ierr = DMPlexPointLocalFieldRead(dm, cells[0], f, x, &xL);CHKERRQ(ierr); 1297 ierr = DMPlexPointLocalFieldRead(dm, cells[1], f, x, &xR);CHKERRQ(ierr); 1298 if (dmGrad) { 1299 PetscReal dxL[3], dxR[3]; 1300 1301 ierr = DMPlexPointLocalRead(dmGrad, cells[0], lgrad, &gL);CHKERRQ(ierr); 1302 ierr = DMPlexPointLocalRead(dmGrad, cells[1], lgrad, &gR);CHKERRQ(ierr); 1303 DMPlex_WaxpyD_Internal(dim, -1, cgL->centroid, fg->centroid, dxL); 1304 DMPlex_WaxpyD_Internal(dim, -1, cgR->centroid, fg->centroid, dxR); 1305 for (c = 0; c < numComp; ++c) { 1306 uLl[iface*Nc+off+c] = xL[c] + DMPlex_DotD_Internal(dim, &gL[c*dim], dxL); 1307 uRl[iface*Nc+off+c] = xR[c] + DMPlex_DotD_Internal(dim, &gR[c*dim], dxR); 1308 } 1309 } else { 1310 for (c = 0; c < numComp; ++c) { 1311 uLl[iface*Nc+off+c] = xL[c]; 1312 uRl[iface*Nc+off+c] = xR[c]; 1313 } 1314 } 1315 } 1316 } 1317 ++iface; 1318 } 1319 *Nface = iface; 1320 ierr = VecRestoreArrayRead(locX, &x);CHKERRQ(ierr); 1321 ierr = VecRestoreArrayRead(faceGeometry, &facegeom);CHKERRQ(ierr); 1322 ierr = VecRestoreArrayRead(cellGeometry, &cellgeom);CHKERRQ(ierr); 1323 if (locGrad) { 1324 ierr = VecRestoreArrayRead(locGrad, &lgrad);CHKERRQ(ierr); 1325 } 1326 ierr = PetscFree(isFE);CHKERRQ(ierr); 1327 PetscFunctionReturn(0); 1328 } 1329 1330 /*@C 1331 DMPlexRestoreFaceFields - Restore the field values values for a chunk of faces 1332 1333 Input Parameters: 1334 + dm - The DM 1335 . fStart - The first face to include 1336 . fEnd - The first face to exclude 1337 . locX - A local vector with the solution fields 1338 . locX_t - A local vector with solution field time derivatives, or NULL 1339 . faceGeometry - A local vector with face geometry 1340 . cellGeometry - A local vector with cell geometry 1341 - locaGrad - A local vector with field gradients, or NULL 1342 1343 Output Parameters: 1344 + Nface - The number of faces with field values 1345 . uL - The field values at the left side of the face 1346 - uR - The field values at the right side of the face 1347 1348 Level: developer 1349 1350 .seealso: DMPlexGetFaceFields() 1351 @*/ 1352 PetscErrorCode DMPlexRestoreFaceFields(DM dm, PetscInt fStart, PetscInt fEnd, Vec locX, Vec locX_t, Vec faceGeometry, Vec cellGeometry, Vec locGrad, PetscInt *Nface, PetscScalar **uL, PetscScalar **uR) 1353 { 1354 PetscErrorCode ierr; 1355 1356 PetscFunctionBegin; 1357 ierr = DMRestoreWorkArray(dm, 0, MPIU_SCALAR, uL);CHKERRQ(ierr); 1358 ierr = DMRestoreWorkArray(dm, 0, MPIU_SCALAR, uR);CHKERRQ(ierr); 1359 PetscFunctionReturn(0); 1360 } 1361 1362 /*@C 1363 DMPlexGetFaceGeometry - Retrieve the geometric values for a chunk of faces 1364 1365 Input Parameters: 1366 + dm - The DM 1367 . fStart - The first face to include 1368 . fEnd - The first face to exclude 1369 . faceGeometry - A local vector with face geometry 1370 - cellGeometry - A local vector with cell geometry 1371 1372 Output Parameters: 1373 + Nface - The number of faces with field values 1374 . fgeom - The extract the face centroid and normal 1375 - vol - The cell volume 1376 1377 Level: developer 1378 1379 .seealso: DMPlexGetCellFields() 1380 @*/ 1381 PetscErrorCode DMPlexGetFaceGeometry(DM dm, PetscInt fStart, PetscInt fEnd, Vec faceGeometry, Vec cellGeometry, PetscInt *Nface, PetscFVFaceGeom **fgeom, PetscReal **vol) 1382 { 1383 DM dmFace, dmCell; 1384 DMLabel ghostLabel; 1385 const PetscScalar *facegeom, *cellgeom; 1386 PetscInt dim, numFaces = fEnd - fStart, iface, face; 1387 PetscErrorCode ierr; 1388 1389 PetscFunctionBegin; 1390 PetscValidHeaderSpecific(dm, DM_CLASSID, 1); 1391 PetscValidHeaderSpecific(faceGeometry, VEC_CLASSID, 4); 1392 PetscValidHeaderSpecific(cellGeometry, VEC_CLASSID, 5); 1393 PetscValidPointer(fgeom, 6); 1394 PetscValidPointer(vol, 7); 1395 ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr); 1396 ierr = DMGetLabel(dm, "ghost", &ghostLabel);CHKERRQ(ierr); 1397 ierr = VecGetDM(faceGeometry, &dmFace);CHKERRQ(ierr); 1398 ierr = VecGetArrayRead(faceGeometry, &facegeom);CHKERRQ(ierr); 1399 ierr = VecGetDM(cellGeometry, &dmCell);CHKERRQ(ierr); 1400 ierr = VecGetArrayRead(cellGeometry, &cellgeom);CHKERRQ(ierr); 1401 ierr = PetscMalloc1(numFaces, fgeom);CHKERRQ(ierr); 1402 ierr = DMGetWorkArray(dm, numFaces*2, MPIU_SCALAR, vol);CHKERRQ(ierr); 1403 for (face = fStart, iface = 0; face < fEnd; ++face) { 1404 const PetscInt *cells; 1405 PetscFVFaceGeom *fg; 1406 PetscFVCellGeom *cgL, *cgR; 1407 PetscFVFaceGeom *fgeoml = *fgeom; 1408 PetscReal *voll = *vol; 1409 PetscInt ghost, d, nchild, nsupp; 1410 1411 ierr = DMLabelGetValue(ghostLabel, face, &ghost);CHKERRQ(ierr); 1412 ierr = DMPlexGetSupportSize(dm, face, &nsupp);CHKERRQ(ierr); 1413 ierr = DMPlexGetTreeChildren(dm, face, &nchild, NULL);CHKERRQ(ierr); 1414 if (ghost >= 0 || nsupp > 2 || nchild > 0) continue; 1415 ierr = DMPlexPointLocalRead(dmFace, face, facegeom, &fg);CHKERRQ(ierr); 1416 ierr = DMPlexGetSupport(dm, face, &cells);CHKERRQ(ierr); 1417 ierr = DMPlexPointLocalRead(dmCell, cells[0], cellgeom, &cgL);CHKERRQ(ierr); 1418 ierr = DMPlexPointLocalRead(dmCell, cells[1], cellgeom, &cgR);CHKERRQ(ierr); 1419 for (d = 0; d < dim; ++d) { 1420 fgeoml[iface].centroid[d] = fg->centroid[d]; 1421 fgeoml[iface].normal[d] = fg->normal[d]; 1422 } 1423 voll[iface*2+0] = cgL->volume; 1424 voll[iface*2+1] = cgR->volume; 1425 ++iface; 1426 } 1427 *Nface = iface; 1428 ierr = VecRestoreArrayRead(faceGeometry, &facegeom);CHKERRQ(ierr); 1429 ierr = VecRestoreArrayRead(cellGeometry, &cellgeom);CHKERRQ(ierr); 1430 PetscFunctionReturn(0); 1431 } 1432 1433 /*@C 1434 DMPlexRestoreFaceGeometry - Restore the field values values for a chunk of faces 1435 1436 Input Parameters: 1437 + dm - The DM 1438 . fStart - The first face to include 1439 . fEnd - The first face to exclude 1440 . faceGeometry - A local vector with face geometry 1441 - cellGeometry - A local vector with cell geometry 1442 1443 Output Parameters: 1444 + Nface - The number of faces with field values 1445 . fgeom - The extract the face centroid and normal 1446 - vol - The cell volume 1447 1448 Level: developer 1449 1450 .seealso: DMPlexGetFaceFields() 1451 @*/ 1452 PetscErrorCode DMPlexRestoreFaceGeometry(DM dm, PetscInt fStart, PetscInt fEnd, Vec faceGeometry, Vec cellGeometry, PetscInt *Nface, PetscFVFaceGeom **fgeom, PetscReal **vol) 1453 { 1454 PetscErrorCode ierr; 1455 1456 PetscFunctionBegin; 1457 ierr = PetscFree(*fgeom);CHKERRQ(ierr); 1458 ierr = DMRestoreWorkArray(dm, 0, MPIU_REAL, vol);CHKERRQ(ierr); 1459 PetscFunctionReturn(0); 1460 } 1461 1462 static PetscErrorCode DMPlexComputeBdResidual_Single_Internal(DM dm, PetscReal t, DMLabel label, PetscInt numValues, const PetscInt values[], PetscInt field, Vec locX, Vec locX_t, Vec locF, DMField coordField, IS facetIS) 1463 { 1464 DM_Plex *mesh = (DM_Plex *) dm->data; 1465 DM plex = NULL, plexA = NULL; 1466 PetscDS prob, probAux = NULL; 1467 PetscSection section, sectionAux = NULL; 1468 Vec locA = NULL; 1469 PetscScalar *u = NULL, *u_t = NULL, *a = NULL, *elemVec = NULL; 1470 PetscInt v; 1471 PetscInt totDim, totDimAux = 0; 1472 PetscErrorCode ierr; 1473 1474 PetscFunctionBegin; 1475 ierr = DMConvert(dm, DMPLEX, &plex);CHKERRQ(ierr); 1476 ierr = DMGetSection(dm, §ion);CHKERRQ(ierr); 1477 ierr = DMGetDS(dm, &prob);CHKERRQ(ierr); 1478 ierr = PetscDSGetTotalDimension(prob, &totDim);CHKERRQ(ierr); 1479 ierr = PetscObjectQuery((PetscObject) dm, "A", (PetscObject *) &locA);CHKERRQ(ierr); 1480 if (locA) { 1481 DM dmAux; 1482 1483 ierr = VecGetDM(locA, &dmAux);CHKERRQ(ierr); 1484 ierr = DMConvert(dmAux, DMPLEX, &plexA);CHKERRQ(ierr); 1485 ierr = DMGetDS(plexA, &probAux);CHKERRQ(ierr); 1486 ierr = PetscDSGetTotalDimension(probAux, &totDimAux);CHKERRQ(ierr); 1487 ierr = DMGetSection(plexA, §ionAux);CHKERRQ(ierr); 1488 } 1489 for (v = 0; v < numValues; ++v) { 1490 PetscFEGeom *fgeom; 1491 PetscInt maxDegree; 1492 PetscQuadrature qGeom = NULL; 1493 IS pointIS; 1494 const PetscInt *points; 1495 PetscInt numFaces, face, Nq; 1496 1497 ierr = DMLabelGetStratumIS(label, values[v], &pointIS);CHKERRQ(ierr); 1498 if (!pointIS) continue; /* No points with that id on this process */ 1499 { 1500 IS isectIS; 1501 1502 /* TODO: Special cases of ISIntersect where it is quick to check a priori if one is a superset of the other */ 1503 ierr = ISIntersect_Caching_Internal(facetIS,pointIS,&isectIS);CHKERRQ(ierr); 1504 ierr = ISDestroy(&pointIS);CHKERRQ(ierr); 1505 pointIS = isectIS; 1506 } 1507 ierr = ISGetLocalSize(pointIS,&numFaces);CHKERRQ(ierr); 1508 ierr = ISGetIndices(pointIS,&points);CHKERRQ(ierr); 1509 ierr = PetscMalloc4(numFaces*totDim, &u, locX_t ? numFaces*totDim : 0, &u_t, numFaces*totDim, &elemVec, locA ? numFaces*totDimAux : 0, &a);CHKERRQ(ierr); 1510 ierr = DMFieldGetDegree(coordField,pointIS,NULL,&maxDegree);CHKERRQ(ierr); 1511 if (maxDegree <= 1) { 1512 ierr = DMFieldCreateDefaultQuadrature(coordField,pointIS,&qGeom);CHKERRQ(ierr); 1513 } 1514 if (!qGeom) { 1515 PetscFE fe; 1516 1517 ierr = PetscDSGetDiscretization(prob, field, (PetscObject *) &fe);CHKERRQ(ierr); 1518 ierr = PetscFEGetFaceQuadrature(fe, &qGeom);CHKERRQ(ierr); 1519 ierr = PetscObjectReference((PetscObject)qGeom);CHKERRQ(ierr); 1520 } 1521 ierr = PetscQuadratureGetData(qGeom, NULL, NULL, &Nq, NULL, NULL);CHKERRQ(ierr); 1522 ierr = DMSNESGetFEGeom(coordField,pointIS,qGeom,PETSC_TRUE,&fgeom);CHKERRQ(ierr); 1523 for (face = 0; face < numFaces; ++face) { 1524 const PetscInt point = points[face], *support, *cone; 1525 PetscScalar *x = NULL; 1526 PetscInt i, coneSize, faceLoc; 1527 1528 ierr = DMPlexGetSupport(dm, point, &support);CHKERRQ(ierr); 1529 ierr = DMPlexGetConeSize(dm, support[0], &coneSize);CHKERRQ(ierr); 1530 ierr = DMPlexGetCone(dm, support[0], &cone);CHKERRQ(ierr); 1531 for (faceLoc = 0; faceLoc < coneSize; ++faceLoc) if (cone[faceLoc] == point) break; 1532 if (faceLoc == coneSize) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Could not find face %D in cone of support[0] %D", point, support[0]); 1533 fgeom->face[face][0] = faceLoc; 1534 ierr = DMPlexVecGetClosure(plex, section, locX, support[0], NULL, &x);CHKERRQ(ierr); 1535 for (i = 0; i < totDim; ++i) u[face*totDim+i] = x[i]; 1536 ierr = DMPlexVecRestoreClosure(plex, section, locX, support[0], NULL, &x);CHKERRQ(ierr); 1537 if (locX_t) { 1538 ierr = DMPlexVecGetClosure(plex, section, locX_t, support[0], NULL, &x);CHKERRQ(ierr); 1539 for (i = 0; i < totDim; ++i) u_t[face*totDim+i] = x[i]; 1540 ierr = DMPlexVecRestoreClosure(plex, section, locX_t, support[0], NULL, &x);CHKERRQ(ierr); 1541 } 1542 if (locA) { 1543 DMLabel spmap; 1544 PetscInt subp = support[0]; 1545 1546 /* If dm is a submesh, do not get subpoint */ 1547 ierr = DMPlexGetSubpointMap(dm, &spmap);CHKERRQ(ierr); 1548 if (!spmap) {ierr = DMPlexGetSubpoint(plexA, support[0], &subp);CHKERRQ(ierr);} 1549 ierr = DMPlexVecGetClosure(plexA, sectionAux, locA, subp, NULL, &x);CHKERRQ(ierr); 1550 for (i = 0; i < totDimAux; ++i) a[face*totDimAux+i] = x[i]; 1551 ierr = DMPlexVecRestoreClosure(plexA, sectionAux, locA, subp, NULL, &x);CHKERRQ(ierr); 1552 } 1553 } 1554 ierr = PetscMemzero(elemVec, numFaces*totDim * sizeof(PetscScalar));CHKERRQ(ierr); 1555 { 1556 PetscFE fe; 1557 PetscInt Nb; 1558 PetscFEGeom *chunkGeom = NULL; 1559 /* Conforming batches */ 1560 PetscInt numChunks, numBatches, numBlocks, Ne, blockSize, batchSize; 1561 /* Remainder */ 1562 PetscInt Nr, offset; 1563 1564 ierr = PetscDSGetDiscretization(prob, field, (PetscObject *) &fe);CHKERRQ(ierr); 1565 ierr = PetscFEGetDimension(fe, &Nb);CHKERRQ(ierr); 1566 ierr = PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches);CHKERRQ(ierr); 1567 /* TODO: documentation is unclear about what is going on with these numbers: how should Nb / Nq factor in ? */ 1568 blockSize = Nb; 1569 batchSize = numBlocks * blockSize; 1570 ierr = PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches);CHKERRQ(ierr); 1571 numChunks = numFaces / (numBatches*batchSize); 1572 Ne = numChunks*numBatches*batchSize; 1573 Nr = numFaces % (numBatches*batchSize); 1574 offset = numFaces - Nr; 1575 ierr = PetscFEGeomGetChunk(fgeom,0,offset,&chunkGeom);CHKERRQ(ierr); 1576 ierr = PetscFEIntegrateBdResidual(fe, prob, field, Ne, chunkGeom, u, u_t, probAux, a, t, elemVec);CHKERRQ(ierr); 1577 ierr = PetscFEGeomRestoreChunk(fgeom, 0, offset, &chunkGeom);CHKERRQ(ierr); 1578 ierr = PetscFEGeomGetChunk(fgeom,offset,numFaces,&chunkGeom);CHKERRQ(ierr); 1579 ierr = PetscFEIntegrateBdResidual(fe, prob, field, Nr, chunkGeom, &u[offset*totDim], u_t ? &u_t[offset*totDim] : NULL, probAux, a ? &a[offset*totDimAux] : NULL, t, &elemVec[offset*totDim]);CHKERRQ(ierr); 1580 ierr = PetscFEGeomRestoreChunk(fgeom,offset,numFaces,&chunkGeom);CHKERRQ(ierr); 1581 } 1582 for (face = 0; face < numFaces; ++face) { 1583 const PetscInt point = points[face], *support; 1584 1585 if (mesh->printFEM > 1) {ierr = DMPrintCellVector(point, "BdResidual", totDim, &elemVec[face*totDim]);CHKERRQ(ierr);} 1586 ierr = DMPlexGetSupport(plex, point, &support);CHKERRQ(ierr); 1587 ierr = DMPlexVecSetClosure(plex, NULL, locF, support[0], &elemVec[face*totDim], ADD_ALL_VALUES);CHKERRQ(ierr); 1588 } 1589 ierr = DMSNESRestoreFEGeom(coordField,pointIS,qGeom,PETSC_TRUE,&fgeom);CHKERRQ(ierr); 1590 ierr = PetscQuadratureDestroy(&qGeom);CHKERRQ(ierr); 1591 ierr = ISRestoreIndices(pointIS, &points);CHKERRQ(ierr); 1592 ierr = ISDestroy(&pointIS);CHKERRQ(ierr); 1593 ierr = PetscFree4(u, u_t, elemVec, a);CHKERRQ(ierr); 1594 } 1595 if (plex) {ierr = DMDestroy(&plex);CHKERRQ(ierr);} 1596 if (plexA) {ierr = DMDestroy(&plexA);CHKERRQ(ierr);} 1597 PetscFunctionReturn(0); 1598 } 1599 1600 PetscErrorCode DMPlexComputeBdResidualSingle(DM dm, PetscReal t, DMLabel label, PetscInt numValues, const PetscInt values[], PetscInt field, Vec locX, Vec locX_t, Vec locF) 1601 { 1602 DMField coordField; 1603 DMLabel depthLabel; 1604 IS facetIS; 1605 PetscInt dim; 1606 PetscErrorCode ierr; 1607 1608 PetscFunctionBegin; 1609 ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr); 1610 ierr = DMPlexGetDepthLabel(dm, &depthLabel);CHKERRQ(ierr); 1611 ierr = DMLabelGetStratumIS(depthLabel, dim-1, &facetIS);CHKERRQ(ierr); 1612 ierr = DMGetCoordinateField(dm, &coordField);CHKERRQ(ierr); 1613 ierr = DMPlexComputeBdResidual_Single_Internal(dm, t, label, numValues, values, field, locX, locX_t, locF, coordField, facetIS);CHKERRQ(ierr); 1614 PetscFunctionReturn(0); 1615 } 1616 1617 PetscErrorCode DMPlexComputeBdResidual_Internal(DM dm, Vec locX, Vec locX_t, PetscReal t, Vec locF, void *user) 1618 { 1619 PetscDS prob; 1620 PetscInt numBd, bd; 1621 DMField coordField = NULL; 1622 IS facetIS = NULL; 1623 DMLabel depthLabel; 1624 PetscInt dim; 1625 PetscErrorCode ierr; 1626 1627 PetscFunctionBegin; 1628 ierr = DMGetDS(dm, &prob);CHKERRQ(ierr); 1629 ierr = DMPlexGetDepthLabel(dm, &depthLabel);CHKERRQ(ierr); 1630 ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr); 1631 ierr = DMLabelGetStratumIS(depthLabel,dim - 1,&facetIS);CHKERRQ(ierr); 1632 ierr = PetscDSGetNumBoundary(prob, &numBd);CHKERRQ(ierr); 1633 for (bd = 0; bd < numBd; ++bd) { 1634 DMBoundaryConditionType type; 1635 const char *bdLabel; 1636 DMLabel label; 1637 const PetscInt *values; 1638 PetscInt field, numValues; 1639 PetscObject obj; 1640 PetscClassId id; 1641 1642 ierr = PetscDSGetBoundary(prob, bd, &type, NULL, &bdLabel, &field, NULL, NULL, NULL, &numValues, &values, NULL);CHKERRQ(ierr); 1643 ierr = PetscDSGetDiscretization(prob, field, &obj);CHKERRQ(ierr); 1644 ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr); 1645 if ((id != PETSCFE_CLASSID) || (type & DM_BC_ESSENTIAL)) continue; 1646 if (!facetIS) { 1647 DMLabel depthLabel; 1648 PetscInt dim; 1649 1650 ierr = DMPlexGetDepthLabel(dm, &depthLabel);CHKERRQ(ierr); 1651 ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr); 1652 ierr = DMLabelGetStratumIS(depthLabel, dim - 1, &facetIS);CHKERRQ(ierr); 1653 } 1654 ierr = DMGetCoordinateField(dm, &coordField);CHKERRQ(ierr); 1655 ierr = DMGetLabel(dm, bdLabel, &label);CHKERRQ(ierr); 1656 ierr = DMPlexComputeBdResidual_Single_Internal(dm, t, label, numValues, values, field, locX, locX_t, locF, coordField, facetIS);CHKERRQ(ierr); 1657 } 1658 ierr = ISDestroy(&facetIS);CHKERRQ(ierr); 1659 PetscFunctionReturn(0); 1660 } 1661 1662 PetscErrorCode DMPlexComputeResidual_Internal(DM dm, IS cellIS, PetscReal time, Vec locX, Vec locX_t, PetscReal t, Vec locF, void *user) 1663 { 1664 DM_Plex *mesh = (DM_Plex *) dm->data; 1665 const char *name = "Residual"; 1666 DM dmAux = NULL; 1667 DM dmGrad = NULL; 1668 DMLabel ghostLabel = NULL; 1669 PetscDS prob = NULL; 1670 PetscDS probAux = NULL; 1671 PetscSection section = NULL; 1672 PetscBool useFEM = PETSC_FALSE; 1673 PetscBool useFVM = PETSC_FALSE; 1674 PetscBool isImplicit = (locX_t || time == PETSC_MIN_REAL) ? PETSC_TRUE : PETSC_FALSE; 1675 PetscFV fvm = NULL; 1676 PetscFVCellGeom *cgeomFVM = NULL; 1677 PetscFVFaceGeom *fgeomFVM = NULL; 1678 DMField coordField = NULL; 1679 Vec locA, cellGeometryFVM = NULL, faceGeometryFVM = NULL, grad, locGrad = NULL; 1680 PetscScalar *u = NULL, *u_t, *a, *uL, *uR; 1681 IS chunkIS; 1682 const PetscInt *cells; 1683 PetscInt cStart, cEnd, numCells; 1684 PetscInt Nf, f, totDim, totDimAux, numChunks, cellChunkSize, faceChunkSize, chunk, fStart, fEnd; 1685 PetscInt maxDegree = PETSC_MAX_INT; 1686 PetscQuadrature affineQuad = NULL, *quads = NULL; 1687 PetscFEGeom *affineGeom = NULL, **geoms = NULL; 1688 PetscErrorCode ierr; 1689 1690 PetscFunctionBegin; 1691 ierr = PetscLogEventBegin(DMPLEX_ResidualFEM,dm,0,0,0);CHKERRQ(ierr); 1692 /* TODO The places where we have to use isFE are probably the member functions for the PetscDisc class */ 1693 /* TODO The FVM geometry is over-manipulated. Make the precalc functions return exactly what we need */ 1694 /* FEM+FVM */ 1695 ierr = ISGetPointRange(cellIS, &cStart, &cEnd, &cells);CHKERRQ(ierr); 1696 ierr = DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);CHKERRQ(ierr); 1697 /* 1: Get sizes from dm and dmAux */ 1698 ierr = DMGetSection(dm, §ion);CHKERRQ(ierr); 1699 ierr = DMGetLabel(dm, "ghost", &ghostLabel);CHKERRQ(ierr); 1700 ierr = DMGetCellDS(dm, cStart, &prob);CHKERRQ(ierr); 1701 ierr = PetscDSGetNumFields(prob, &Nf);CHKERRQ(ierr); 1702 ierr = PetscDSGetTotalDimension(prob, &totDim);CHKERRQ(ierr); 1703 ierr = PetscObjectQuery((PetscObject) dm, "A", (PetscObject *) &locA);CHKERRQ(ierr); 1704 if (locA) { 1705 PetscInt subcell; 1706 ierr = DMPlexGetAuxiliaryPoint(dm, dmAux, cStart, &subcell);CHKERRQ(ierr); 1707 ierr = VecGetDM(locA, &dmAux);CHKERRQ(ierr); 1708 ierr = DMGetCellDS(dmAux, subcell, &probAux);CHKERRQ(ierr); 1709 ierr = PetscDSGetTotalDimension(probAux, &totDimAux);CHKERRQ(ierr); 1710 } 1711 /* 2: Get geometric data */ 1712 for (f = 0; f < Nf; ++f) { 1713 PetscObject obj; 1714 PetscClassId id; 1715 PetscBool fimp; 1716 1717 ierr = PetscDSGetImplicit(prob, f, &fimp);CHKERRQ(ierr); 1718 if (isImplicit != fimp) continue; 1719 ierr = PetscDSGetDiscretization(prob, f, &obj);CHKERRQ(ierr); 1720 ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr); 1721 if (id == PETSCFE_CLASSID) {useFEM = PETSC_TRUE;} 1722 if (id == PETSCFV_CLASSID) {useFVM = PETSC_TRUE; fvm = (PetscFV) obj;} 1723 } 1724 if (useFEM) { 1725 ierr = DMGetCoordinateField(dm, &coordField);CHKERRQ(ierr); 1726 ierr = DMFieldGetDegree(coordField,cellIS,NULL,&maxDegree);CHKERRQ(ierr); 1727 if (maxDegree <= 1) { 1728 ierr = DMFieldCreateDefaultQuadrature(coordField,cellIS,&affineQuad);CHKERRQ(ierr); 1729 if (affineQuad) { 1730 ierr = DMSNESGetFEGeom(coordField,cellIS,affineQuad,PETSC_FALSE,&affineGeom);CHKERRQ(ierr); 1731 } 1732 } else { 1733 ierr = PetscCalloc2(Nf,&quads,Nf,&geoms);CHKERRQ(ierr); 1734 for (f = 0; f < Nf; ++f) { 1735 PetscObject obj; 1736 PetscClassId id; 1737 PetscBool fimp; 1738 1739 ierr = PetscDSGetImplicit(prob, f, &fimp);CHKERRQ(ierr); 1740 if (isImplicit != fimp) continue; 1741 ierr = PetscDSGetDiscretization(prob, f, &obj);CHKERRQ(ierr); 1742 ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr); 1743 if (id == PETSCFE_CLASSID) { 1744 PetscFE fe = (PetscFE) obj; 1745 1746 ierr = PetscFEGetQuadrature(fe, &quads[f]);CHKERRQ(ierr); 1747 ierr = PetscObjectReference((PetscObject)quads[f]);CHKERRQ(ierr); 1748 ierr = DMSNESGetFEGeom(coordField,cellIS,quads[f],PETSC_FALSE,&geoms[f]);CHKERRQ(ierr); 1749 } 1750 } 1751 } 1752 } 1753 if (useFVM) { 1754 ierr = DMPlexSNESGetGeometryFVM(dm, &faceGeometryFVM, &cellGeometryFVM, NULL);CHKERRQ(ierr); 1755 ierr = VecGetArrayRead(faceGeometryFVM, (const PetscScalar **) &fgeomFVM);CHKERRQ(ierr); 1756 ierr = VecGetArrayRead(cellGeometryFVM, (const PetscScalar **) &cgeomFVM);CHKERRQ(ierr); 1757 /* Reconstruct and limit cell gradients */ 1758 ierr = DMPlexSNESGetGradientDM(dm, fvm, &dmGrad);CHKERRQ(ierr); 1759 if (dmGrad) { 1760 ierr = DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);CHKERRQ(ierr); 1761 ierr = DMGetGlobalVector(dmGrad, &grad);CHKERRQ(ierr); 1762 ierr = DMPlexReconstructGradients_Internal(dm, fvm, fStart, fEnd, faceGeometryFVM, cellGeometryFVM, locX, grad);CHKERRQ(ierr); 1763 /* Communicate gradient values */ 1764 ierr = DMGetLocalVector(dmGrad, &locGrad);CHKERRQ(ierr); 1765 ierr = DMGlobalToLocalBegin(dmGrad, grad, INSERT_VALUES, locGrad);CHKERRQ(ierr); 1766 ierr = DMGlobalToLocalEnd(dmGrad, grad, INSERT_VALUES, locGrad);CHKERRQ(ierr); 1767 ierr = DMRestoreGlobalVector(dmGrad, &grad);CHKERRQ(ierr); 1768 } 1769 /* Handle non-essential (e.g. outflow) boundary values */ 1770 ierr = DMPlexInsertBoundaryValues(dm, PETSC_FALSE, locX, time, faceGeometryFVM, cellGeometryFVM, locGrad);CHKERRQ(ierr); 1771 } 1772 /* Loop over chunks */ 1773 if (useFEM) {ierr = ISCreate(PETSC_COMM_SELF, &chunkIS);CHKERRQ(ierr);} 1774 numCells = cEnd - cStart; 1775 numChunks = 1; 1776 cellChunkSize = numCells/numChunks; 1777 faceChunkSize = (fEnd - fStart)/numChunks; 1778 numChunks = PetscMin(1,numCells); 1779 for (chunk = 0; chunk < numChunks; ++chunk) { 1780 PetscScalar *elemVec, *fluxL, *fluxR; 1781 PetscReal *vol; 1782 PetscFVFaceGeom *fgeom; 1783 PetscInt cS = cStart+chunk*cellChunkSize, cE = PetscMin(cS+cellChunkSize, cEnd), numCells = cE - cS, c; 1784 PetscInt fS = fStart+chunk*faceChunkSize, fE = PetscMin(fS+faceChunkSize, fEnd), numFaces = 0, face; 1785 1786 /* Extract field coefficients */ 1787 if (useFEM) { 1788 ierr = ISGetPointSubrange(chunkIS, cS, cE, cells);CHKERRQ(ierr); 1789 ierr = DMPlexGetCellFields(dm, chunkIS, locX, locX_t, locA, &u, &u_t, &a);CHKERRQ(ierr); 1790 ierr = DMGetWorkArray(dm, numCells*totDim, MPIU_SCALAR, &elemVec);CHKERRQ(ierr); 1791 ierr = PetscMemzero(elemVec, numCells*totDim * sizeof(PetscScalar));CHKERRQ(ierr); 1792 } 1793 if (useFVM) { 1794 ierr = DMPlexGetFaceFields(dm, fS, fE, locX, locX_t, faceGeometryFVM, cellGeometryFVM, locGrad, &numFaces, &uL, &uR);CHKERRQ(ierr); 1795 ierr = DMPlexGetFaceGeometry(dm, fS, fE, faceGeometryFVM, cellGeometryFVM, &numFaces, &fgeom, &vol);CHKERRQ(ierr); 1796 ierr = DMGetWorkArray(dm, numFaces*totDim, MPIU_SCALAR, &fluxL);CHKERRQ(ierr); 1797 ierr = DMGetWorkArray(dm, numFaces*totDim, MPIU_SCALAR, &fluxR);CHKERRQ(ierr); 1798 ierr = PetscMemzero(fluxL, numFaces*totDim * sizeof(PetscScalar));CHKERRQ(ierr); 1799 ierr = PetscMemzero(fluxR, numFaces*totDim * sizeof(PetscScalar));CHKERRQ(ierr); 1800 } 1801 /* TODO We will interlace both our field coefficients (u, u_t, uL, uR, etc.) and our output (elemVec, fL, fR). I think this works */ 1802 /* Loop over fields */ 1803 for (f = 0; f < Nf; ++f) { 1804 PetscObject obj; 1805 PetscClassId id; 1806 PetscBool fimp; 1807 PetscInt numChunks, numBatches, batchSize, numBlocks, blockSize, Ne, Nr, offset; 1808 1809 ierr = PetscDSGetImplicit(prob, f, &fimp);CHKERRQ(ierr); 1810 if (isImplicit != fimp) continue; 1811 ierr = PetscDSGetDiscretization(prob, f, &obj);CHKERRQ(ierr); 1812 ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr); 1813 if (id == PETSCFE_CLASSID) { 1814 PetscFE fe = (PetscFE) obj; 1815 PetscFEGeom *geom = affineGeom ? affineGeom : geoms[f]; 1816 PetscFEGeom *chunkGeom = NULL; 1817 PetscQuadrature quad = affineQuad ? affineQuad : quads[f]; 1818 PetscInt Nq, Nb; 1819 1820 ierr = PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches);CHKERRQ(ierr); 1821 ierr = PetscQuadratureGetData(quad, NULL, NULL, &Nq, NULL, NULL);CHKERRQ(ierr); 1822 ierr = PetscFEGetDimension(fe, &Nb);CHKERRQ(ierr); 1823 blockSize = Nb; 1824 batchSize = numBlocks * blockSize; 1825 ierr = PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches);CHKERRQ(ierr); 1826 numChunks = numCells / (numBatches*batchSize); 1827 Ne = numChunks*numBatches*batchSize; 1828 Nr = numCells % (numBatches*batchSize); 1829 offset = numCells - Nr; 1830 /* Integrate FE residual to get elemVec (need fields at quadrature points) */ 1831 /* 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) */ 1832 ierr = PetscFEGeomGetChunk(geom,0,offset,&chunkGeom);CHKERRQ(ierr); 1833 ierr = PetscFEIntegrateResidual(fe, prob, f, Ne, chunkGeom, u, u_t, probAux, a, t, elemVec);CHKERRQ(ierr); 1834 ierr = PetscFEGeomGetChunk(geom,offset,numCells,&chunkGeom);CHKERRQ(ierr); 1835 ierr = PetscFEIntegrateResidual(fe, prob, f, Nr, chunkGeom, &u[offset*totDim], u_t ? &u_t[offset*totDim] : NULL, probAux, &a[offset*totDimAux], t, &elemVec[offset*totDim]);CHKERRQ(ierr); 1836 ierr = PetscFEGeomRestoreChunk(geom,offset,numCells,&chunkGeom);CHKERRQ(ierr); 1837 } else if (id == PETSCFV_CLASSID) { 1838 PetscFV fv = (PetscFV) obj; 1839 1840 Ne = numFaces; 1841 /* Riemann solve over faces (need fields at face centroids) */ 1842 /* We need to evaluate FE fields at those coordinates */ 1843 ierr = PetscFVIntegrateRHSFunction(fv, prob, f, Ne, fgeom, vol, uL, uR, fluxL, fluxR);CHKERRQ(ierr); 1844 } else SETERRQ1(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", f); 1845 } 1846 /* Loop over domain */ 1847 if (useFEM) { 1848 /* Add elemVec to locX */ 1849 for (c = cS; c < cE; ++c) { 1850 const PetscInt cell = cells ? cells[c] : c; 1851 const PetscInt cind = c - cStart; 1852 1853 if (mesh->printFEM > 1) {ierr = DMPrintCellVector(cell, name, totDim, &elemVec[cind*totDim]);CHKERRQ(ierr);} 1854 if (ghostLabel) { 1855 PetscInt ghostVal; 1856 1857 ierr = DMLabelGetValue(ghostLabel,cell,&ghostVal);CHKERRQ(ierr); 1858 if (ghostVal > 0) continue; 1859 } 1860 ierr = DMPlexVecSetClosure(dm, section, locF, cell, &elemVec[cind*totDim], ADD_ALL_VALUES);CHKERRQ(ierr); 1861 } 1862 } 1863 if (useFVM) { 1864 PetscScalar *fa; 1865 PetscInt iface; 1866 1867 ierr = VecGetArray(locF, &fa);CHKERRQ(ierr); 1868 for (f = 0; f < Nf; ++f) { 1869 PetscFV fv; 1870 PetscObject obj; 1871 PetscClassId id; 1872 PetscInt foff, pdim; 1873 1874 ierr = PetscDSGetDiscretization(prob, f, &obj);CHKERRQ(ierr); 1875 ierr = PetscDSGetFieldOffset(prob, f, &foff);CHKERRQ(ierr); 1876 ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr); 1877 if (id != PETSCFV_CLASSID) continue; 1878 fv = (PetscFV) obj; 1879 ierr = PetscFVGetNumComponents(fv, &pdim);CHKERRQ(ierr); 1880 /* Accumulate fluxes to cells */ 1881 for (face = fS, iface = 0; face < fE; ++face) { 1882 const PetscInt *scells; 1883 PetscScalar *fL = NULL, *fR = NULL; 1884 PetscInt ghost, d, nsupp, nchild; 1885 1886 ierr = DMLabelGetValue(ghostLabel, face, &ghost);CHKERRQ(ierr); 1887 ierr = DMPlexGetSupportSize(dm, face, &nsupp);CHKERRQ(ierr); 1888 ierr = DMPlexGetTreeChildren(dm, face, &nchild, NULL);CHKERRQ(ierr); 1889 if (ghost >= 0 || nsupp > 2 || nchild > 0) continue; 1890 ierr = DMPlexGetSupport(dm, face, &scells);CHKERRQ(ierr); 1891 ierr = DMLabelGetValue(ghostLabel,scells[0],&ghost);CHKERRQ(ierr); 1892 if (ghost <= 0) {ierr = DMPlexPointLocalFieldRef(dm, scells[0], f, fa, &fL);CHKERRQ(ierr);} 1893 ierr = DMLabelGetValue(ghostLabel,scells[1],&ghost);CHKERRQ(ierr); 1894 if (ghost <= 0) {ierr = DMPlexPointLocalFieldRef(dm, scells[1], f, fa, &fR);CHKERRQ(ierr);} 1895 for (d = 0; d < pdim; ++d) { 1896 if (fL) fL[d] -= fluxL[iface*totDim+foff+d]; 1897 if (fR) fR[d] += fluxR[iface*totDim+foff+d]; 1898 } 1899 ++iface; 1900 } 1901 } 1902 ierr = VecRestoreArray(locF, &fa);CHKERRQ(ierr); 1903 } 1904 /* Handle time derivative */ 1905 if (locX_t) { 1906 PetscScalar *x_t, *fa; 1907 1908 ierr = VecGetArray(locF, &fa);CHKERRQ(ierr); 1909 ierr = VecGetArray(locX_t, &x_t);CHKERRQ(ierr); 1910 for (f = 0; f < Nf; ++f) { 1911 PetscFV fv; 1912 PetscObject obj; 1913 PetscClassId id; 1914 PetscInt pdim, d; 1915 1916 ierr = PetscDSGetDiscretization(prob, f, &obj);CHKERRQ(ierr); 1917 ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr); 1918 if (id != PETSCFV_CLASSID) continue; 1919 fv = (PetscFV) obj; 1920 ierr = PetscFVGetNumComponents(fv, &pdim);CHKERRQ(ierr); 1921 for (c = cS; c < cE; ++c) { 1922 const PetscInt cell = cells ? cells[c] : c; 1923 PetscScalar *u_t, *r; 1924 1925 if (ghostLabel) { 1926 PetscInt ghostVal; 1927 1928 ierr = DMLabelGetValue(ghostLabel, cell, &ghostVal);CHKERRQ(ierr); 1929 if (ghostVal > 0) continue; 1930 } 1931 ierr = DMPlexPointLocalFieldRead(dm, cell, f, x_t, &u_t);CHKERRQ(ierr); 1932 ierr = DMPlexPointLocalFieldRef(dm, cell, f, fa, &r);CHKERRQ(ierr); 1933 for (d = 0; d < pdim; ++d) r[d] += u_t[d]; 1934 } 1935 } 1936 ierr = VecRestoreArray(locX_t, &x_t);CHKERRQ(ierr); 1937 ierr = VecRestoreArray(locF, &fa);CHKERRQ(ierr); 1938 } 1939 if (useFEM) { 1940 ierr = DMPlexRestoreCellFields(dm, chunkIS, locX, locX_t, locA, &u, &u_t, &a);CHKERRQ(ierr); 1941 ierr = DMRestoreWorkArray(dm, numCells*totDim, MPIU_SCALAR, &elemVec);CHKERRQ(ierr); 1942 } 1943 if (useFVM) { 1944 ierr = DMPlexRestoreFaceFields(dm, fS, fE, locX, locX_t, faceGeometryFVM, cellGeometryFVM, locGrad, &numFaces, &uL, &uR);CHKERRQ(ierr); 1945 ierr = DMPlexRestoreFaceGeometry(dm, fS, fE, faceGeometryFVM, cellGeometryFVM, &numFaces, &fgeom, &vol);CHKERRQ(ierr); 1946 ierr = DMRestoreWorkArray(dm, numFaces*totDim, MPIU_SCALAR, &fluxL);CHKERRQ(ierr); 1947 ierr = DMRestoreWorkArray(dm, numFaces*totDim, MPIU_SCALAR, &fluxR);CHKERRQ(ierr); 1948 if (dmGrad) {ierr = DMRestoreLocalVector(dmGrad, &locGrad);CHKERRQ(ierr);} 1949 } 1950 } 1951 if (useFEM) {ierr = ISDestroy(&chunkIS);CHKERRQ(ierr);} 1952 ierr = ISRestorePointRange(cellIS, &cStart, &cEnd, &cells);CHKERRQ(ierr); 1953 1954 if (useFEM) { 1955 ierr = DMPlexComputeBdResidual_Internal(dm, locX, locX_t, t, locF, user);CHKERRQ(ierr); 1956 1957 if (maxDegree <= 1) { 1958 ierr = DMSNESRestoreFEGeom(coordField,cellIS,affineQuad,PETSC_FALSE,&affineGeom);CHKERRQ(ierr); 1959 ierr = PetscQuadratureDestroy(&affineQuad);CHKERRQ(ierr); 1960 } else { 1961 for (f = 0; f < Nf; ++f) { 1962 ierr = DMSNESRestoreFEGeom(coordField,cellIS,quads[f],PETSC_FALSE,&geoms[f]);CHKERRQ(ierr); 1963 ierr = PetscQuadratureDestroy(&quads[f]);CHKERRQ(ierr); 1964 } 1965 ierr = PetscFree2(quads,geoms);CHKERRQ(ierr); 1966 } 1967 } 1968 1969 /* FEM */ 1970 /* 1: Get sizes from dm and dmAux */ 1971 /* 2: Get geometric data */ 1972 /* 3: Handle boundary values */ 1973 /* 4: Loop over domain */ 1974 /* Extract coefficients */ 1975 /* Loop over fields */ 1976 /* Set tiling for FE*/ 1977 /* Integrate FE residual to get elemVec */ 1978 /* Loop over subdomain */ 1979 /* Loop over quad points */ 1980 /* Transform coords to real space */ 1981 /* Evaluate field and aux fields at point */ 1982 /* Evaluate residual at point */ 1983 /* Transform residual to real space */ 1984 /* Add residual to elemVec */ 1985 /* Loop over domain */ 1986 /* Add elemVec to locX */ 1987 1988 /* FVM */ 1989 /* Get geometric data */ 1990 /* If using gradients */ 1991 /* Compute gradient data */ 1992 /* Loop over domain faces */ 1993 /* Count computational faces */ 1994 /* Reconstruct cell gradient */ 1995 /* Loop over domain cells */ 1996 /* Limit cell gradients */ 1997 /* Handle boundary values */ 1998 /* Loop over domain faces */ 1999 /* Read out field, centroid, normal, volume for each side of face */ 2000 /* Riemann solve over faces */ 2001 /* Loop over domain faces */ 2002 /* Accumulate fluxes to cells */ 2003 /* TODO Change printFEM to printDisc here */ 2004 if (mesh->printFEM) { 2005 Vec locFbc; 2006 PetscInt pStart, pEnd, p, maxDof; 2007 PetscScalar *zeroes; 2008 2009 ierr = VecDuplicate(locF,&locFbc);CHKERRQ(ierr); 2010 ierr = VecCopy(locF,locFbc);CHKERRQ(ierr); 2011 ierr = PetscSectionGetChart(section,&pStart,&pEnd);CHKERRQ(ierr); 2012 ierr = PetscSectionGetMaxDof(section,&maxDof);CHKERRQ(ierr); 2013 ierr = PetscCalloc1(maxDof,&zeroes);CHKERRQ(ierr); 2014 for (p = pStart; p < pEnd; p++) { 2015 ierr = VecSetValuesSection(locFbc,section,p,zeroes,INSERT_BC_VALUES);CHKERRQ(ierr); 2016 } 2017 ierr = PetscFree(zeroes);CHKERRQ(ierr); 2018 ierr = DMPrintLocalVec(dm, name, mesh->printTol, locFbc);CHKERRQ(ierr); 2019 ierr = VecDestroy(&locFbc);CHKERRQ(ierr); 2020 } 2021 ierr = PetscLogEventEnd(DMPLEX_ResidualFEM,dm,0,0,0);CHKERRQ(ierr); 2022 PetscFunctionReturn(0); 2023 } 2024 2025 static PetscErrorCode DMPlexComputeResidualFEM_Check_Internal(DM dm, Vec X, Vec X_t, PetscReal t, Vec F, void *user) 2026 { 2027 DM dmCh, dmAux; 2028 Vec A; 2029 DMField coordField = NULL; 2030 PetscDS prob, probCh, probAux = NULL; 2031 PetscSection section, sectionAux; 2032 PetscScalar *elemVec, *elemVecCh, *u, *u_t, *a = NULL; 2033 PetscInt Nf, f, numCells, cStart, cEnd, c; 2034 PetscInt totDim, totDimAux = 0, diffCell = 0; 2035 PetscInt depth; 2036 PetscInt maxDegree; 2037 IS cellIS; 2038 DMLabel depthLabel; 2039 PetscErrorCode ierr; 2040 2041 PetscFunctionBegin; 2042 ierr = DMGetSection(dm, §ion);CHKERRQ(ierr); 2043 ierr = DMGetDS(dm, &prob);CHKERRQ(ierr); 2044 ierr = PetscDSGetTotalDimension(prob, &totDim);CHKERRQ(ierr); 2045 ierr = PetscSectionGetNumFields(section, &Nf);CHKERRQ(ierr); 2046 ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr); 2047 numCells = cEnd - cStart; 2048 ierr = PetscObjectQuery((PetscObject) dm, "dmCh", (PetscObject *) &dmCh);CHKERRQ(ierr); 2049 ierr = DMGetDS(dmCh, &probCh);CHKERRQ(ierr); 2050 ierr = PetscObjectQuery((PetscObject) dm, "dmAux", (PetscObject *) &dmAux);CHKERRQ(ierr); 2051 ierr = PetscObjectQuery((PetscObject) dm, "A", (PetscObject *) &A);CHKERRQ(ierr); 2052 if (dmAux) { 2053 ierr = DMGetSection(dmAux, §ionAux);CHKERRQ(ierr); 2054 ierr = DMGetDS(dmAux, &probAux);CHKERRQ(ierr); 2055 ierr = PetscDSGetTotalDimension(probAux, &totDimAux);CHKERRQ(ierr); 2056 } 2057 ierr = VecSet(F, 0.0);CHKERRQ(ierr); 2058 ierr = PetscMalloc3(numCells*totDim,&u,X_t ? numCells*totDim : 0,&u_t,numCells*totDim,&elemVec);CHKERRQ(ierr); 2059 ierr = PetscMalloc1(numCells*totDim,&elemVecCh);CHKERRQ(ierr); 2060 if (dmAux) {ierr = PetscMalloc1(numCells*totDimAux, &a);CHKERRQ(ierr);} 2061 ierr = DMPlexGetDepthLabel(dm, &depthLabel);CHKERRQ(ierr); 2062 ierr = DMPlexGetDepth(dm,&depth);CHKERRQ(ierr); 2063 ierr = DMLabelGetStratumIS(depthLabel,depth,&cellIS);CHKERRQ(ierr); 2064 ierr = DMGetCoordinateField(dm, &coordField);CHKERRQ(ierr); 2065 for (c = cStart; c < cEnd; ++c) { 2066 PetscScalar *x = NULL, *x_t = NULL; 2067 PetscInt i; 2068 2069 ierr = DMPlexVecGetClosure(dm, section, X, c, NULL, &x);CHKERRQ(ierr); 2070 for (i = 0; i < totDim; ++i) u[c*totDim+i] = x[i]; 2071 ierr = DMPlexVecRestoreClosure(dm, section, X, c, NULL, &x);CHKERRQ(ierr); 2072 if (X_t) { 2073 ierr = DMPlexVecGetClosure(dm, section, X_t, c, NULL, &x_t);CHKERRQ(ierr); 2074 for (i = 0; i < totDim; ++i) u_t[c*totDim+i] = x_t[i]; 2075 ierr = DMPlexVecRestoreClosure(dm, section, X_t, c, NULL, &x_t);CHKERRQ(ierr); 2076 } 2077 if (dmAux) { 2078 DM dmAuxPlex; 2079 2080 ierr = DMSNESConvertPlex(dmAux,&dmAuxPlex, PETSC_FALSE);CHKERRQ(ierr); 2081 ierr = DMPlexVecGetClosure(dmAuxPlex, sectionAux, A, c, NULL, &x);CHKERRQ(ierr); 2082 for (i = 0; i < totDimAux; ++i) a[c*totDimAux+i] = x[i]; 2083 ierr = DMPlexVecRestoreClosure(dmAuxPlex, sectionAux, A, c, NULL, &x);CHKERRQ(ierr); 2084 ierr = DMDestroy(&dmAuxPlex);CHKERRQ(ierr); 2085 } 2086 } 2087 for (f = 0; f < Nf; ++f) { 2088 PetscFE fe, feCh; 2089 PetscInt Nq, Nb; 2090 /* Conforming batches */ 2091 PetscInt numChunks, numBatches, numBlocks, Ne, blockSize, batchSize; 2092 /* Remainder */ 2093 PetscInt Nr, offset; 2094 PetscQuadrature qGeom = NULL; 2095 PetscFEGeom *cgeomFEM, *chunkGeom = NULL; 2096 2097 ierr = PetscDSGetDiscretization(prob, f, (PetscObject *) &fe);CHKERRQ(ierr); 2098 ierr = PetscDSGetDiscretization(probCh, f, (PetscObject *) &feCh);CHKERRQ(ierr); 2099 ierr = PetscFEGetDimension(fe, &Nb);CHKERRQ(ierr); 2100 ierr = PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches);CHKERRQ(ierr); 2101 ierr = DMFieldGetDegree(coordField,cellIS,NULL,&maxDegree);CHKERRQ(ierr); 2102 if (maxDegree <= 1) { 2103 ierr = DMFieldCreateDefaultQuadrature(coordField,cellIS,&qGeom);CHKERRQ(ierr); 2104 } 2105 if (!qGeom) { 2106 ierr = PetscFEGetQuadrature(fe, &qGeom);CHKERRQ(ierr); 2107 ierr = PetscObjectReference((PetscObject)qGeom);CHKERRQ(ierr); 2108 } 2109 ierr = PetscQuadratureGetData(qGeom, NULL, NULL, &Nq, NULL, NULL);CHKERRQ(ierr); 2110 ierr = DMSNESGetFEGeom(coordField,cellIS,qGeom,PETSC_FALSE,&cgeomFEM);CHKERRQ(ierr); 2111 blockSize = Nb; 2112 batchSize = numBlocks * blockSize; 2113 ierr = PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches);CHKERRQ(ierr); 2114 numChunks = numCells / (numBatches*batchSize); 2115 Ne = numChunks*numBatches*batchSize; 2116 Nr = numCells % (numBatches*batchSize); 2117 offset = numCells - Nr; 2118 ierr = PetscFEGeomGetChunk(cgeomFEM,0,offset,&chunkGeom);CHKERRQ(ierr); 2119 ierr = PetscFEIntegrateResidual(fe, prob, f, Ne, chunkGeom, u, u_t, probAux, a, t, elemVec);CHKERRQ(ierr); 2120 ierr = PetscFEIntegrateResidual(feCh, prob, f, Ne, chunkGeom, u, u_t, probAux, a, t, elemVecCh);CHKERRQ(ierr); 2121 ierr = PetscFEGeomGetChunk(cgeomFEM,offset,numCells,&chunkGeom);CHKERRQ(ierr); 2122 ierr = PetscFEIntegrateResidual(fe, prob, f, Nr, chunkGeom, &u[offset*totDim], u_t ? &u_t[offset*totDim] : NULL, probAux, &a[offset*totDimAux], t, &elemVec[offset*totDim]);CHKERRQ(ierr); 2123 ierr = PetscFEIntegrateResidual(feCh, prob, f, Nr, chunkGeom, &u[offset*totDim], u_t ? &u_t[offset*totDim] : NULL, probAux, &a[offset*totDimAux], t, &elemVecCh[offset*totDim]);CHKERRQ(ierr); 2124 ierr = PetscFEGeomRestoreChunk(cgeomFEM,offset,numCells,&chunkGeom);CHKERRQ(ierr); 2125 ierr = DMSNESRestoreFEGeom(coordField,cellIS,qGeom,PETSC_FALSE,&cgeomFEM);CHKERRQ(ierr); 2126 ierr = PetscQuadratureDestroy(&qGeom);CHKERRQ(ierr); 2127 } 2128 ierr = ISDestroy(&cellIS);CHKERRQ(ierr); 2129 for (c = cStart; c < cEnd; ++c) { 2130 PetscBool diff = PETSC_FALSE; 2131 PetscInt d; 2132 2133 for (d = 0; d < totDim; ++d) if (PetscAbsScalar(elemVec[c*totDim+d] - elemVecCh[c*totDim+d]) > 1.0e-7) {diff = PETSC_TRUE;break;} 2134 if (diff) { 2135 ierr = PetscPrintf(PetscObjectComm((PetscObject) dm), "Different cell %d\n", c);CHKERRQ(ierr); 2136 ierr = DMPrintCellVector(c, "Residual", totDim, &elemVec[c*totDim]);CHKERRQ(ierr); 2137 ierr = DMPrintCellVector(c, "Check Residual", totDim, &elemVecCh[c*totDim]);CHKERRQ(ierr); 2138 ++diffCell; 2139 } 2140 if (diffCell > 9) break; 2141 ierr = DMPlexVecSetClosure(dm, section, F, c, &elemVec[c*totDim], ADD_ALL_VALUES);CHKERRQ(ierr); 2142 } 2143 ierr = PetscFree3(u,u_t,elemVec);CHKERRQ(ierr); 2144 ierr = PetscFree(elemVecCh);CHKERRQ(ierr); 2145 if (dmAux) {ierr = PetscFree(a);CHKERRQ(ierr);} 2146 PetscFunctionReturn(0); 2147 } 2148 2149 /*@ 2150 DMPlexSNESComputeResidualFEM - Form the local residual F from the local input X using pointwise functions specified by the user 2151 2152 Input Parameters: 2153 + dm - The mesh 2154 . X - Local solution 2155 - user - The user context 2156 2157 Output Parameter: 2158 . F - Local output vector 2159 2160 Level: developer 2161 2162 .seealso: DMPlexComputeJacobianAction() 2163 @*/ 2164 PetscErrorCode DMPlexSNESComputeResidualFEM(DM dm, Vec X, Vec F, void *user) 2165 { 2166 PetscObject check; 2167 DM plex; 2168 IS cellIS; 2169 PetscInt depth; 2170 PetscErrorCode ierr; 2171 2172 PetscFunctionBegin; 2173 ierr = DMSNESConvertPlex(dm,&plex,PETSC_TRUE);CHKERRQ(ierr); 2174 ierr = DMPlexGetDepth(plex, &depth);CHKERRQ(ierr); 2175 ierr = DMGetStratumIS(plex, "dim", depth, &cellIS);CHKERRQ(ierr); 2176 if (!cellIS) { 2177 ierr = DMGetStratumIS(plex, "depth", depth, &cellIS);CHKERRQ(ierr); 2178 } 2179 /* The dmCh is used to check two mathematically equivalent discretizations for computational equivalence */ 2180 ierr = PetscObjectQuery((PetscObject) plex, "dmCh", &check);CHKERRQ(ierr); 2181 if (check) {ierr = DMPlexComputeResidualFEM_Check_Internal(plex, X, NULL, 0.0, F, user);CHKERRQ(ierr);} 2182 else {ierr = DMPlexComputeResidual_Internal(plex, cellIS, PETSC_MIN_REAL, X, NULL, 0.0, F, user);CHKERRQ(ierr);} 2183 ierr = ISDestroy(&cellIS);CHKERRQ(ierr); 2184 ierr = DMDestroy(&plex);CHKERRQ(ierr); 2185 PetscFunctionReturn(0); 2186 } 2187 2188 /*@ 2189 DMPlexSNESComputeBoundaryFEM - Form the boundary values for the local input X 2190 2191 Input Parameters: 2192 + dm - The mesh 2193 - user - The user context 2194 2195 Output Parameter: 2196 . X - Local solution 2197 2198 Level: developer 2199 2200 .seealso: DMPlexComputeJacobianAction() 2201 @*/ 2202 PetscErrorCode DMPlexSNESComputeBoundaryFEM(DM dm, Vec X, void *user) 2203 { 2204 DM plex; 2205 PetscErrorCode ierr; 2206 2207 PetscFunctionBegin; 2208 ierr = DMSNESConvertPlex(dm,&plex,PETSC_TRUE);CHKERRQ(ierr); 2209 ierr = DMPlexInsertBoundaryValues(plex, PETSC_TRUE, X, PETSC_MIN_REAL, NULL, NULL, NULL);CHKERRQ(ierr); 2210 ierr = DMDestroy(&plex);CHKERRQ(ierr); 2211 PetscFunctionReturn(0); 2212 } 2213 2214 PetscErrorCode DMPlexComputeBdJacobian_Single_Internal(DM dm, PetscReal t, DMLabel label, PetscInt numValues, const PetscInt values[], PetscInt fieldI, Vec locX, Vec locX_t, PetscReal X_tShift, Mat Jac, Mat JacP, DMField coordField, IS facetIS) 2215 { 2216 DM_Plex *mesh = (DM_Plex *) dm->data; 2217 DM plex = NULL, plexA = NULL; 2218 PetscDS prob, probAux = NULL; 2219 PetscSection section, sectionAux = NULL; 2220 PetscSection globalSection, subSection = NULL; 2221 Vec locA = NULL; 2222 PetscScalar *u = NULL, *u_t = NULL, *a = NULL, *elemMat = NULL; 2223 PetscInt v; 2224 PetscInt Nf, totDim, totDimAux = 0; 2225 PetscBool isMatISP; 2226 PetscErrorCode ierr; 2227 2228 PetscFunctionBegin; 2229 ierr = DMConvert(dm, DMPLEX, &plex);CHKERRQ(ierr); 2230 ierr = DMGetSection(dm, §ion);CHKERRQ(ierr); 2231 ierr = DMGetDS(dm, &prob);CHKERRQ(ierr); 2232 ierr = PetscDSGetNumFields(prob, &Nf);CHKERRQ(ierr); 2233 ierr = PetscDSGetTotalDimension(prob, &totDim);CHKERRQ(ierr); 2234 ierr = PetscObjectQuery((PetscObject) dm, "A", (PetscObject *) &locA);CHKERRQ(ierr); 2235 if (locA) { 2236 DM dmAux; 2237 2238 ierr = VecGetDM(locA, &dmAux);CHKERRQ(ierr); 2239 ierr = DMConvert(dmAux, DMPLEX, &plexA);CHKERRQ(ierr); 2240 ierr = DMGetDS(plexA, &probAux);CHKERRQ(ierr); 2241 ierr = PetscDSGetTotalDimension(probAux, &totDimAux);CHKERRQ(ierr); 2242 ierr = DMGetSection(plexA, §ionAux);CHKERRQ(ierr); 2243 } 2244 2245 ierr = PetscObjectTypeCompare((PetscObject) JacP, MATIS, &isMatISP);CHKERRQ(ierr); 2246 ierr = DMGetGlobalSection(dm, &globalSection);CHKERRQ(ierr); 2247 if (isMatISP) {ierr = DMPlexGetSubdomainSection(dm, &subSection);CHKERRQ(ierr);} 2248 for (v = 0; v < numValues; ++v) { 2249 PetscFEGeom *fgeom; 2250 PetscInt maxDegree; 2251 PetscQuadrature qGeom = NULL; 2252 IS pointIS; 2253 const PetscInt *points; 2254 PetscInt numFaces, face, Nq; 2255 2256 ierr = DMLabelGetStratumIS(label, values[v], &pointIS);CHKERRQ(ierr); 2257 if (!pointIS) continue; /* No points with that id on this process */ 2258 { 2259 IS isectIS; 2260 2261 /* TODO: Special cases of ISIntersect where it is quick to check a prior if one is a superset of the other */ 2262 ierr = ISIntersect_Caching_Internal(facetIS,pointIS,&isectIS);CHKERRQ(ierr); 2263 ierr = ISDestroy(&pointIS);CHKERRQ(ierr); 2264 pointIS = isectIS; 2265 } 2266 ierr = ISGetLocalSize(pointIS, &numFaces);CHKERRQ(ierr); 2267 ierr = ISGetIndices(pointIS, &points);CHKERRQ(ierr); 2268 ierr = PetscMalloc4(numFaces*totDim, &u, locX_t ? numFaces*totDim : 0, &u_t, numFaces*totDim*totDim, &elemMat, locA ? numFaces*totDimAux : 0, &a);CHKERRQ(ierr); 2269 ierr = DMFieldGetDegree(coordField,pointIS,NULL,&maxDegree);CHKERRQ(ierr); 2270 if (maxDegree <= 1) { 2271 ierr = DMFieldCreateDefaultQuadrature(coordField,pointIS,&qGeom);CHKERRQ(ierr); 2272 } 2273 if (!qGeom) { 2274 PetscFE fe; 2275 2276 ierr = PetscDSGetDiscretization(prob, fieldI, (PetscObject *) &fe);CHKERRQ(ierr); 2277 ierr = PetscFEGetFaceQuadrature(fe, &qGeom);CHKERRQ(ierr); 2278 ierr = PetscObjectReference((PetscObject)qGeom);CHKERRQ(ierr); 2279 } 2280 ierr = PetscQuadratureGetData(qGeom, NULL, NULL, &Nq, NULL, NULL);CHKERRQ(ierr); 2281 ierr = DMSNESGetFEGeom(coordField,pointIS,qGeom,PETSC_TRUE,&fgeom);CHKERRQ(ierr); 2282 for (face = 0; face < numFaces; ++face) { 2283 const PetscInt point = points[face], *support, *cone; 2284 PetscScalar *x = NULL; 2285 PetscInt i, coneSize, faceLoc; 2286 2287 ierr = DMPlexGetSupport(dm, point, &support);CHKERRQ(ierr); 2288 ierr = DMPlexGetConeSize(dm, support[0], &coneSize);CHKERRQ(ierr); 2289 ierr = DMPlexGetCone(dm, support[0], &cone);CHKERRQ(ierr); 2290 for (faceLoc = 0; faceLoc < coneSize; ++faceLoc) if (cone[faceLoc] == point) break; 2291 if (faceLoc == coneSize) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Could not find face %d in cone of support[0] %d", point, support[0]); 2292 fgeom->face[face][0] = faceLoc; 2293 ierr = DMPlexVecGetClosure(plex, section, locX, support[0], NULL, &x);CHKERRQ(ierr); 2294 for (i = 0; i < totDim; ++i) u[face*totDim+i] = x[i]; 2295 ierr = DMPlexVecRestoreClosure(plex, section, locX, support[0], NULL, &x);CHKERRQ(ierr); 2296 if (locX_t) { 2297 ierr = DMPlexVecGetClosure(plex, section, locX_t, support[0], NULL, &x);CHKERRQ(ierr); 2298 for (i = 0; i < totDim; ++i) u_t[face*totDim+i] = x[i]; 2299 ierr = DMPlexVecRestoreClosure(plex, section, locX_t, support[0], NULL, &x);CHKERRQ(ierr); 2300 } 2301 if (locA) { 2302 PetscInt subp; 2303 ierr = DMPlexGetSubpoint(plexA, support[0], &subp);CHKERRQ(ierr); 2304 ierr = DMPlexVecGetClosure(plexA, sectionAux, locA, subp, NULL, &x);CHKERRQ(ierr); 2305 for (i = 0; i < totDimAux; ++i) a[face*totDimAux+i] = x[i]; 2306 ierr = DMPlexVecRestoreClosure(plexA, sectionAux, locA, subp, NULL, &x);CHKERRQ(ierr); 2307 } 2308 } 2309 ierr = PetscMemzero(elemMat, numFaces*totDim*totDim * sizeof(PetscScalar));CHKERRQ(ierr); 2310 { 2311 PetscFE fe; 2312 PetscInt Nb; 2313 /* Conforming batches */ 2314 PetscInt numChunks, numBatches, numBlocks, Ne, blockSize, batchSize; 2315 /* Remainder */ 2316 PetscFEGeom *chunkGeom = NULL; 2317 PetscInt fieldJ, Nr, offset; 2318 2319 ierr = PetscDSGetDiscretization(prob, fieldI, (PetscObject *) &fe);CHKERRQ(ierr); 2320 ierr = PetscFEGetDimension(fe, &Nb);CHKERRQ(ierr); 2321 ierr = PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches);CHKERRQ(ierr); 2322 blockSize = Nb; 2323 batchSize = numBlocks * blockSize; 2324 ierr = PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches);CHKERRQ(ierr); 2325 numChunks = numFaces / (numBatches*batchSize); 2326 Ne = numChunks*numBatches*batchSize; 2327 Nr = numFaces % (numBatches*batchSize); 2328 offset = numFaces - Nr; 2329 ierr = PetscFEGeomGetChunk(fgeom,0,offset,&chunkGeom);CHKERRQ(ierr); 2330 for (fieldJ = 0; fieldJ < Nf; ++fieldJ) { 2331 ierr = PetscFEIntegrateBdJacobian(fe, prob, fieldI, fieldJ, Ne, chunkGeom, u, u_t, probAux, a, t, X_tShift, elemMat);CHKERRQ(ierr); 2332 } 2333 ierr = PetscFEGeomGetChunk(fgeom,offset,numFaces,&chunkGeom);CHKERRQ(ierr); 2334 for (fieldJ = 0; fieldJ < Nf; ++fieldJ) { 2335 ierr = PetscFEIntegrateBdJacobian(fe, prob, fieldI, fieldJ, Nr, chunkGeom, &u[offset*totDim], u_t ? &u_t[offset*totDim] : NULL, probAux, a ? &a[offset*totDimAux] : NULL, t, X_tShift, &elemMat[offset*totDim*totDim]);CHKERRQ(ierr); 2336 } 2337 ierr = PetscFEGeomRestoreChunk(fgeom,offset,numFaces,&chunkGeom);CHKERRQ(ierr); 2338 } 2339 for (face = 0; face < numFaces; ++face) { 2340 const PetscInt point = points[face], *support; 2341 2342 if (mesh->printFEM > 1) {ierr = DMPrintCellMatrix(point, "BdJacobian", totDim, totDim, &elemMat[face*totDim*totDim]);CHKERRQ(ierr);} 2343 ierr = DMPlexGetSupport(plex, point, &support);CHKERRQ(ierr); 2344 if (!isMatISP) { 2345 ierr = DMPlexMatSetClosure(plex, section, globalSection, JacP, support[0], &elemMat[face*totDim*totDim], ADD_VALUES);CHKERRQ(ierr); 2346 } else { 2347 Mat lJ; 2348 2349 ierr = MatISGetLocalMat(JacP, &lJ);CHKERRQ(ierr); 2350 ierr = DMPlexMatSetClosure(plex, section, subSection, lJ, support[0], &elemMat[face*totDim*totDim], ADD_VALUES);CHKERRQ(ierr); 2351 } 2352 } 2353 ierr = DMSNESRestoreFEGeom(coordField,pointIS,qGeom,PETSC_TRUE,&fgeom);CHKERRQ(ierr); 2354 ierr = PetscQuadratureDestroy(&qGeom);CHKERRQ(ierr); 2355 ierr = ISRestoreIndices(pointIS, &points);CHKERRQ(ierr); 2356 ierr = ISDestroy(&pointIS);CHKERRQ(ierr); 2357 ierr = PetscFree4(u, u_t, elemMat, a);CHKERRQ(ierr); 2358 } 2359 if (plex) {ierr = DMDestroy(&plex);CHKERRQ(ierr);} 2360 if (plexA) {ierr = DMDestroy(&plexA);CHKERRQ(ierr);} 2361 PetscFunctionReturn(0); 2362 } 2363 2364 PetscErrorCode DMPlexComputeBdJacobianSingle(DM dm, PetscReal t, DMLabel label, PetscInt numValues, const PetscInt values[], PetscInt field, Vec locX, Vec locX_t, PetscReal X_tShift, Mat Jac, Mat JacP) 2365 { 2366 DMField coordField; 2367 DMLabel depthLabel; 2368 IS facetIS; 2369 PetscInt dim; 2370 PetscErrorCode ierr; 2371 2372 PetscFunctionBegin; 2373 ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr); 2374 ierr = DMPlexGetDepthLabel(dm, &depthLabel);CHKERRQ(ierr); 2375 ierr = DMLabelGetStratumIS(depthLabel, dim-1, &facetIS);CHKERRQ(ierr); 2376 ierr = DMGetCoordinateField(dm, &coordField);CHKERRQ(ierr); 2377 ierr = DMPlexComputeBdJacobian_Single_Internal(dm, t, label, numValues, values, field, locX, locX_t, X_tShift, Jac, JacP, coordField, facetIS);CHKERRQ(ierr); 2378 PetscFunctionReturn(0); 2379 } 2380 2381 PetscErrorCode DMPlexComputeBdJacobian_Internal(DM dm, Vec locX, Vec locX_t, PetscReal t, PetscReal X_tShift, Mat Jac, Mat JacP, void *user) 2382 { 2383 PetscDS prob; 2384 PetscInt dim, numBd, bd; 2385 DMLabel depthLabel; 2386 DMField coordField = NULL; 2387 IS facetIS; 2388 PetscErrorCode ierr; 2389 2390 PetscFunctionBegin; 2391 ierr = DMGetDS(dm, &prob);CHKERRQ(ierr); 2392 ierr = DMPlexGetDepthLabel(dm, &depthLabel);CHKERRQ(ierr); 2393 ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr); 2394 ierr = DMLabelGetStratumIS(depthLabel, dim-1, &facetIS);CHKERRQ(ierr); 2395 ierr = PetscDSGetNumBoundary(prob, &numBd);CHKERRQ(ierr); 2396 ierr = DMGetCoordinateField(dm, &coordField);CHKERRQ(ierr); 2397 for (bd = 0; bd < numBd; ++bd) { 2398 DMBoundaryConditionType type; 2399 const char *bdLabel; 2400 DMLabel label; 2401 const PetscInt *values; 2402 PetscInt fieldI, numValues; 2403 PetscObject obj; 2404 PetscClassId id; 2405 2406 ierr = PetscDSGetBoundary(prob, bd, &type, NULL, &bdLabel, &fieldI, NULL, NULL, NULL, &numValues, &values, NULL);CHKERRQ(ierr); 2407 ierr = PetscDSGetDiscretization(prob, fieldI, &obj);CHKERRQ(ierr); 2408 ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr); 2409 if ((id != PETSCFE_CLASSID) || (type & DM_BC_ESSENTIAL)) continue; 2410 ierr = DMGetLabel(dm, bdLabel, &label);CHKERRQ(ierr); 2411 ierr = DMPlexComputeBdJacobian_Single_Internal(dm, t, label, numValues, values, fieldI, locX, locX_t, X_tShift, Jac, JacP, coordField, facetIS);CHKERRQ(ierr); 2412 } 2413 ierr = ISDestroy(&facetIS);CHKERRQ(ierr); 2414 PetscFunctionReturn(0); 2415 } 2416 2417 PetscErrorCode DMPlexComputeJacobian_Internal(DM dm, IS cellIS, PetscReal t, PetscReal X_tShift, Vec X, Vec X_t, Mat Jac, Mat JacP,void *user) 2418 { 2419 DM_Plex *mesh = (DM_Plex *) dm->data; 2420 const char *name = "Jacobian"; 2421 DM dmAux, plex; 2422 Vec A; 2423 DMField coordField; 2424 PetscDS prob, probAux = NULL; 2425 PetscSection section, globalSection, subSection, sectionAux; 2426 PetscScalar *elemMat, *elemMatP, *elemMatD, *u, *u_t, *a = NULL; 2427 const PetscInt *cells; 2428 PetscInt Nf, fieldI, fieldJ; 2429 PetscInt totDim, totDimAux, cStart, cEnd, numCells, c; 2430 PetscBool isMatIS, isMatISP, hasJac, hasPrec, hasDyn, hasFV = PETSC_FALSE; 2431 PetscErrorCode ierr; 2432 2433 PetscFunctionBegin; 2434 ierr = PetscLogEventBegin(DMPLEX_JacobianFEM,dm,0,0,0);CHKERRQ(ierr); 2435 ierr = DMGetSection(dm, §ion);CHKERRQ(ierr); 2436 ierr = PetscObjectTypeCompare((PetscObject) JacP, MATIS, &isMatISP);CHKERRQ(ierr); 2437 ierr = DMGetGlobalSection(dm, &globalSection);CHKERRQ(ierr); 2438 if (isMatISP) {ierr = DMPlexGetSubdomainSection(dm, &subSection);CHKERRQ(ierr);} 2439 ierr = DMGetDS(dm, &prob);CHKERRQ(ierr); 2440 ierr = PetscDSGetTotalDimension(prob, &totDim);CHKERRQ(ierr); 2441 ierr = PetscDSHasJacobian(prob, &hasJac);CHKERRQ(ierr); 2442 ierr = PetscDSHasJacobianPreconditioner(prob, &hasPrec);CHKERRQ(ierr); 2443 ierr = PetscDSHasDynamicJacobian(prob, &hasDyn);CHKERRQ(ierr); 2444 hasDyn = hasDyn && (X_tShift != 0.0) ? PETSC_TRUE : PETSC_FALSE; 2445 ierr = PetscSectionGetNumFields(section, &Nf);CHKERRQ(ierr); 2446 ierr = ISGetLocalSize(cellIS, &numCells);CHKERRQ(ierr); 2447 ierr = ISGetPointRange(cellIS, &cStart, &cEnd, &cells);CHKERRQ(ierr); 2448 ierr = PetscObjectQuery((PetscObject) dm, "dmAux", (PetscObject *) &dmAux);CHKERRQ(ierr); 2449 ierr = PetscObjectQuery((PetscObject) dm, "A", (PetscObject *) &A);CHKERRQ(ierr); 2450 if (dmAux) { 2451 ierr = DMConvert(dmAux, DMPLEX, &plex);CHKERRQ(ierr); 2452 ierr = DMGetSection(plex, §ionAux);CHKERRQ(ierr); 2453 ierr = DMGetDS(dmAux, &probAux);CHKERRQ(ierr); 2454 ierr = PetscDSGetTotalDimension(probAux, &totDimAux);CHKERRQ(ierr); 2455 } 2456 ierr = PetscMalloc5(numCells*totDim,&u,X_t ? numCells*totDim : 0,&u_t,hasJac ? numCells*totDim*totDim : 0,&elemMat,hasPrec ? numCells*totDim*totDim : 0, &elemMatP,hasDyn ? numCells*totDim*totDim : 0, &elemMatD);CHKERRQ(ierr); 2457 if (dmAux) {ierr = PetscMalloc1(numCells*totDimAux, &a);CHKERRQ(ierr);} 2458 ierr = DMGetCoordinateField(dm, &coordField);CHKERRQ(ierr); 2459 for (c = cStart; c < cEnd; ++c) { 2460 const PetscInt cell = cells ? cells[c] : c; 2461 const PetscInt cind = c - cStart; 2462 PetscScalar *x = NULL, *x_t = NULL; 2463 PetscInt i; 2464 2465 ierr = DMPlexVecGetClosure(dm, section, X, cell, NULL, &x);CHKERRQ(ierr); 2466 for (i = 0; i < totDim; ++i) u[cind*totDim+i] = x[i]; 2467 ierr = DMPlexVecRestoreClosure(dm, section, X, cell, NULL, &x);CHKERRQ(ierr); 2468 if (X_t) { 2469 ierr = DMPlexVecGetClosure(dm, section, X_t, cell, NULL, &x_t);CHKERRQ(ierr); 2470 for (i = 0; i < totDim; ++i) u_t[cind*totDim+i] = x_t[i]; 2471 ierr = DMPlexVecRestoreClosure(dm, section, X_t, cell, NULL, &x_t);CHKERRQ(ierr); 2472 } 2473 if (dmAux) { 2474 PetscInt subcell; 2475 ierr = DMPlexGetAuxiliaryPoint(dm, dmAux, cell, &subcell);CHKERRQ(ierr); 2476 ierr = DMPlexVecGetClosure(plex, sectionAux, A, subcell, NULL, &x);CHKERRQ(ierr); 2477 for (i = 0; i < totDimAux; ++i) a[cind*totDimAux+i] = x[i]; 2478 ierr = DMPlexVecRestoreClosure(plex, sectionAux, A, subcell, NULL, &x);CHKERRQ(ierr); 2479 } 2480 } 2481 if (hasJac) {ierr = PetscMemzero(elemMat, numCells*totDim*totDim * sizeof(PetscScalar));CHKERRQ(ierr);} 2482 if (hasPrec) {ierr = PetscMemzero(elemMatP, numCells*totDim*totDim * sizeof(PetscScalar));CHKERRQ(ierr);} 2483 if (hasDyn) {ierr = PetscMemzero(elemMatD, numCells*totDim*totDim * sizeof(PetscScalar));CHKERRQ(ierr);} 2484 for (fieldI = 0; fieldI < Nf; ++fieldI) { 2485 PetscClassId id; 2486 PetscFE fe; 2487 PetscQuadrature qGeom = NULL; 2488 PetscInt Nb; 2489 /* Conforming batches */ 2490 PetscInt numChunks, numBatches, numBlocks, Ne, blockSize, batchSize; 2491 /* Remainder */ 2492 PetscInt Nr, offset, Nq; 2493 PetscInt maxDegree; 2494 PetscFEGeom *cgeomFEM, *chunkGeom = NULL, *remGeom = NULL; 2495 2496 ierr = PetscDSGetDiscretization(prob, fieldI, (PetscObject *) &fe);CHKERRQ(ierr); 2497 ierr = PetscObjectGetClassId((PetscObject) fe, &id);CHKERRQ(ierr); 2498 if (id == PETSCFV_CLASSID) {hasFV = PETSC_TRUE; continue;} 2499 ierr = PetscFEGetDimension(fe, &Nb);CHKERRQ(ierr); 2500 ierr = PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches);CHKERRQ(ierr); 2501 ierr = DMFieldGetDegree(coordField,cellIS,NULL,&maxDegree);CHKERRQ(ierr); 2502 if (maxDegree <= 1) { 2503 ierr = DMFieldCreateDefaultQuadrature(coordField,cellIS,&qGeom);CHKERRQ(ierr); 2504 } 2505 if (!qGeom) { 2506 ierr = PetscFEGetQuadrature(fe,&qGeom);CHKERRQ(ierr); 2507 ierr = PetscObjectReference((PetscObject)qGeom);CHKERRQ(ierr); 2508 } 2509 ierr = PetscQuadratureGetData(qGeom, NULL, NULL, &Nq, NULL, NULL);CHKERRQ(ierr); 2510 ierr = DMSNESGetFEGeom(coordField,cellIS,qGeom,PETSC_FALSE,&cgeomFEM);CHKERRQ(ierr); 2511 blockSize = Nb; 2512 batchSize = numBlocks * blockSize; 2513 ierr = PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches);CHKERRQ(ierr); 2514 numChunks = numCells / (numBatches*batchSize); 2515 Ne = numChunks*numBatches*batchSize; 2516 Nr = numCells % (numBatches*batchSize); 2517 offset = numCells - Nr; 2518 ierr = PetscFEGeomGetChunk(cgeomFEM,0,offset,&chunkGeom);CHKERRQ(ierr); 2519 ierr = PetscFEGeomGetChunk(cgeomFEM,offset,numCells,&remGeom);CHKERRQ(ierr); 2520 for (fieldJ = 0; fieldJ < Nf; ++fieldJ) { 2521 if (hasJac) { 2522 ierr = PetscFEIntegrateJacobian(fe, prob, PETSCFE_JACOBIAN, fieldI, fieldJ, Ne, chunkGeom, u, u_t, probAux, a, t, X_tShift, elemMat);CHKERRQ(ierr); 2523 ierr = PetscFEIntegrateJacobian(fe, prob, PETSCFE_JACOBIAN, fieldI, fieldJ, Nr, remGeom, &u[offset*totDim], u_t ? &u_t[offset*totDim] : NULL, probAux, &a[offset*totDimAux], t, X_tShift, &elemMat[offset*totDim*totDim]);CHKERRQ(ierr); 2524 } 2525 if (hasPrec) { 2526 ierr = PetscFEIntegrateJacobian(fe, prob, PETSCFE_JACOBIAN_PRE, fieldI, fieldJ, Ne, chunkGeom, u, u_t, probAux, a, t, X_tShift, elemMatP);CHKERRQ(ierr); 2527 ierr = PetscFEIntegrateJacobian(fe, prob, PETSCFE_JACOBIAN_PRE, fieldI, fieldJ, Nr, remGeom, &u[offset*totDim], u_t ? &u_t[offset*totDim] : NULL, probAux, &a[offset*totDimAux], t, X_tShift, &elemMatP[offset*totDim*totDim]);CHKERRQ(ierr); 2528 } 2529 if (hasDyn) { 2530 ierr = PetscFEIntegrateJacobian(fe, prob, PETSCFE_JACOBIAN_DYN, fieldI, fieldJ, Ne, chunkGeom, u, u_t, probAux, a, t, X_tShift, elemMatD);CHKERRQ(ierr); 2531 ierr = PetscFEIntegrateJacobian(fe, prob, PETSCFE_JACOBIAN_DYN, fieldI, fieldJ, Nr, remGeom, &u[offset*totDim], u_t ? &u_t[offset*totDim] : NULL, probAux, &a[offset*totDimAux], t, X_tShift, &elemMatD[offset*totDim*totDim]);CHKERRQ(ierr); 2532 } 2533 } 2534 ierr = PetscFEGeomRestoreChunk(cgeomFEM,offset,numCells,&remGeom);CHKERRQ(ierr); 2535 ierr = PetscFEGeomRestoreChunk(cgeomFEM,0,offset,&chunkGeom);CHKERRQ(ierr); 2536 ierr = DMSNESRestoreFEGeom(coordField,cellIS,qGeom,PETSC_FALSE,&cgeomFEM);CHKERRQ(ierr); 2537 ierr = PetscQuadratureDestroy(&qGeom);CHKERRQ(ierr); 2538 } 2539 /* Add contribution from X_t */ 2540 if (hasDyn) {for (c = 0; c < numCells*totDim*totDim; ++c) elemMat[c] += X_tShift*elemMatD[c];} 2541 if (hasFV) { 2542 PetscClassId id; 2543 PetscFV fv; 2544 PetscInt offsetI, NcI, NbI = 1, fc, f; 2545 2546 for (fieldI = 0; fieldI < Nf; ++fieldI) { 2547 ierr = PetscDSGetDiscretization(prob, fieldI, (PetscObject *) &fv);CHKERRQ(ierr); 2548 ierr = PetscDSGetFieldOffset(prob, fieldI, &offsetI);CHKERRQ(ierr); 2549 ierr = PetscObjectGetClassId((PetscObject) fv, &id);CHKERRQ(ierr); 2550 if (id != PETSCFV_CLASSID) continue; 2551 /* Put in the identity */ 2552 ierr = PetscFVGetNumComponents(fv, &NcI);CHKERRQ(ierr); 2553 for (c = cStart; c < cEnd; ++c) { 2554 const PetscInt cind = c - cStart; 2555 const PetscInt eOffset = cind*totDim*totDim; 2556 for (fc = 0; fc < NcI; ++fc) { 2557 for (f = 0; f < NbI; ++f) { 2558 const PetscInt i = offsetI + f*NcI+fc; 2559 if (hasPrec) { 2560 if (hasJac) {elemMat[eOffset+i*totDim+i] = 1.0;} 2561 elemMatP[eOffset+i*totDim+i] = 1.0; 2562 } else {elemMat[eOffset+i*totDim+i] = 1.0;} 2563 } 2564 } 2565 } 2566 } 2567 /* No allocated space for FV stuff, so ignore the zero entries */ 2568 ierr = MatSetOption(JacP, MAT_IGNORE_ZERO_ENTRIES, PETSC_TRUE);CHKERRQ(ierr); 2569 } 2570 /* Insert values into matrix */ 2571 isMatIS = PETSC_FALSE; 2572 if (hasPrec && hasJac) { 2573 ierr = PetscObjectTypeCompare((PetscObject) JacP, MATIS, &isMatIS);CHKERRQ(ierr); 2574 } 2575 if (isMatIS && !subSection) { 2576 ierr = DMPlexGetSubdomainSection(dm, &subSection);CHKERRQ(ierr); 2577 } 2578 for (c = cStart; c < cEnd; ++c) { 2579 const PetscInt cell = cells ? cells[c] : c; 2580 const PetscInt cind = c - cStart; 2581 2582 if (hasPrec) { 2583 if (hasJac) { 2584 if (mesh->printFEM > 1) {ierr = DMPrintCellMatrix(cell, name, totDim, totDim, &elemMat[cind*totDim*totDim]);CHKERRQ(ierr);} 2585 if (!isMatIS) { 2586 ierr = DMPlexMatSetClosure(dm, section, globalSection, Jac, cell, &elemMat[cind*totDim*totDim], ADD_VALUES);CHKERRQ(ierr); 2587 } else { 2588 Mat lJ; 2589 2590 ierr = MatISGetLocalMat(Jac,&lJ);CHKERRQ(ierr); 2591 ierr = DMPlexMatSetClosure(dm, section, subSection, lJ, cell, &elemMat[cind*totDim*totDim], ADD_VALUES);CHKERRQ(ierr); 2592 } 2593 } 2594 if (mesh->printFEM > 1) {ierr = DMPrintCellMatrix(cell, name, totDim, totDim, &elemMatP[cind*totDim*totDim]);CHKERRQ(ierr);} 2595 if (!isMatISP) { 2596 ierr = DMPlexMatSetClosure(dm, section, globalSection, JacP, cell, &elemMatP[cind*totDim*totDim], ADD_VALUES);CHKERRQ(ierr); 2597 } else { 2598 Mat lJ; 2599 2600 ierr = MatISGetLocalMat(JacP,&lJ);CHKERRQ(ierr); 2601 ierr = DMPlexMatSetClosure(dm, section, subSection, lJ, cell, &elemMatP[cind*totDim*totDim], ADD_VALUES);CHKERRQ(ierr); 2602 } 2603 } else { 2604 if (mesh->printFEM > 1) {ierr = DMPrintCellMatrix(cell, name, totDim, totDim, &elemMat[cind*totDim*totDim]);CHKERRQ(ierr);} 2605 if (!isMatISP) { 2606 ierr = DMPlexMatSetClosure(dm, section, globalSection, JacP, cell, &elemMat[cind*totDim*totDim], ADD_VALUES);CHKERRQ(ierr); 2607 } else { 2608 Mat lJ; 2609 2610 ierr = MatISGetLocalMat(JacP,&lJ);CHKERRQ(ierr); 2611 ierr = DMPlexMatSetClosure(dm, section, subSection, lJ, cell, &elemMat[cind*totDim*totDim], ADD_VALUES);CHKERRQ(ierr); 2612 } 2613 } 2614 } 2615 ierr = ISRestorePointRange(cellIS, &cStart, &cEnd, &cells);CHKERRQ(ierr); 2616 if (hasFV) {ierr = MatSetOption(JacP, MAT_IGNORE_ZERO_ENTRIES, PETSC_FALSE);CHKERRQ(ierr);} 2617 ierr = PetscFree5(u,u_t,elemMat,elemMatP,elemMatD);CHKERRQ(ierr); 2618 if (dmAux) { 2619 ierr = PetscFree(a);CHKERRQ(ierr); 2620 ierr = DMDestroy(&plex);CHKERRQ(ierr); 2621 } 2622 /* Compute boundary integrals */ 2623 ierr = DMPlexComputeBdJacobian_Internal(dm, X, X_t, t, X_tShift, Jac, JacP, user);CHKERRQ(ierr); 2624 /* Assemble matrix */ 2625 if (hasJac && hasPrec) { 2626 ierr = MatAssemblyBegin(Jac, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 2627 ierr = MatAssemblyEnd(Jac, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 2628 } 2629 ierr = MatAssemblyBegin(JacP, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 2630 ierr = MatAssemblyEnd(JacP, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 2631 ierr = PetscLogEventEnd(DMPLEX_JacobianFEM,dm,0,0,0);CHKERRQ(ierr); 2632 PetscFunctionReturn(0); 2633 } 2634 2635 /*@ 2636 DMPlexComputeJacobianAction - Form the local portion of the Jacobian action Z = J(X) Y at the local solution X using pointwise functions specified by the user. 2637 2638 Input Parameters: 2639 + dm - The mesh 2640 . cellIS - 2641 . t - The time 2642 . X_tShift - The multiplier for the Jacobian with repsect to X_t 2643 . X - Local solution vector 2644 . X_t - Time-derivative of the local solution vector 2645 . Y - Local input vector 2646 - user - The user context 2647 2648 Output Parameter: 2649 . Z - Local output vector 2650 2651 Note: 2652 We form the residual one batch of elements at a time. This allows us to offload work onto an accelerator, 2653 like a GPU, or vectorize on a multicore machine. 2654 2655 Level: developer 2656 2657 .seealso: FormFunctionLocal() 2658 @*/ 2659 PetscErrorCode DMPlexComputeJacobianAction(DM dm, IS cellIS, PetscReal t, PetscReal X_tShift, Vec X, Vec X_t, Vec Y, Vec Z, void *user) 2660 { 2661 DM_Plex *mesh = (DM_Plex *) dm->data; 2662 const char *name = "Jacobian"; 2663 DM dmAux, plex, plexAux = NULL; 2664 Vec A; 2665 PetscDS prob, probAux = NULL; 2666 PetscQuadrature quad; 2667 PetscSection section, globalSection, sectionAux; 2668 PetscScalar *elemMat, *elemMatD, *u, *u_t, *a = NULL, *y, *z; 2669 PetscInt Nf, fieldI, fieldJ; 2670 PetscInt totDim, totDimAux = 0; 2671 const PetscInt *cells; 2672 PetscInt cStart, cEnd, numCells, c; 2673 PetscBool hasDyn; 2674 DMField coordField; 2675 PetscErrorCode ierr; 2676 2677 PetscFunctionBegin; 2678 ierr = PetscLogEventBegin(DMPLEX_JacobianFEM,dm,0,0,0);CHKERRQ(ierr); 2679 ierr = DMSNESConvertPlex(dm, &plex, PETSC_TRUE);CHKERRQ(ierr); 2680 if (!cellIS) { 2681 PetscInt depth; 2682 2683 ierr = DMPlexGetDepth(plex, &depth);CHKERRQ(ierr); 2684 ierr = DMGetStratumIS(plex, "dim", depth, &cellIS);CHKERRQ(ierr); 2685 if (!cellIS) {ierr = DMGetStratumIS(plex, "depth", depth, &cellIS);CHKERRQ(ierr);} 2686 } else { 2687 ierr = PetscObjectReference((PetscObject) cellIS);CHKERRQ(ierr); 2688 } 2689 ierr = DMGetSection(dm, §ion);CHKERRQ(ierr); 2690 ierr = DMGetGlobalSection(dm, &globalSection);CHKERRQ(ierr); 2691 ierr = DMGetDS(dm, &prob);CHKERRQ(ierr); 2692 ierr = PetscDSGetTotalDimension(prob, &totDim);CHKERRQ(ierr); 2693 ierr = PetscDSHasDynamicJacobian(prob, &hasDyn);CHKERRQ(ierr); 2694 hasDyn = hasDyn && (X_tShift != 0.0) ? PETSC_TRUE : PETSC_FALSE; 2695 ierr = PetscSectionGetNumFields(section, &Nf);CHKERRQ(ierr); 2696 ierr = ISGetLocalSize(cellIS, &numCells);CHKERRQ(ierr); 2697 ierr = ISGetPointRange(cellIS, &cStart, &cEnd, &cells);CHKERRQ(ierr); 2698 ierr = PetscObjectQuery((PetscObject) dm, "dmAux", (PetscObject *) &dmAux);CHKERRQ(ierr); 2699 ierr = PetscObjectQuery((PetscObject) dm, "A", (PetscObject *) &A);CHKERRQ(ierr); 2700 if (dmAux) { 2701 ierr = DMConvert(dmAux, DMPLEX, &plexAux);CHKERRQ(ierr); 2702 ierr = DMGetSection(plexAux, §ionAux);CHKERRQ(ierr); 2703 ierr = DMGetDS(dmAux, &probAux);CHKERRQ(ierr); 2704 ierr = PetscDSGetTotalDimension(probAux, &totDimAux);CHKERRQ(ierr); 2705 } 2706 ierr = VecSet(Z, 0.0);CHKERRQ(ierr); 2707 ierr = PetscMalloc6(numCells*totDim,&u,X_t ? numCells*totDim : 0,&u_t,numCells*totDim*totDim,&elemMat,hasDyn ? numCells*totDim*totDim : 0, &elemMatD,numCells*totDim,&y,totDim,&z);CHKERRQ(ierr); 2708 if (dmAux) {ierr = PetscMalloc1(numCells*totDimAux, &a);CHKERRQ(ierr);} 2709 ierr = DMGetCoordinateField(dm, &coordField);CHKERRQ(ierr); 2710 for (c = cStart; c < cEnd; ++c) { 2711 const PetscInt cell = cells ? cells[c] : c; 2712 const PetscInt cind = c - cStart; 2713 PetscScalar *x = NULL, *x_t = NULL; 2714 PetscInt i; 2715 2716 ierr = DMPlexVecGetClosure(dm, section, X, cell, NULL, &x);CHKERRQ(ierr); 2717 for (i = 0; i < totDim; ++i) u[cind*totDim+i] = x[i]; 2718 ierr = DMPlexVecRestoreClosure(dm, section, X, cell, NULL, &x);CHKERRQ(ierr); 2719 if (X_t) { 2720 ierr = DMPlexVecGetClosure(dm, section, X_t, cell, NULL, &x_t);CHKERRQ(ierr); 2721 for (i = 0; i < totDim; ++i) u_t[cind*totDim+i] = x_t[i]; 2722 ierr = DMPlexVecRestoreClosure(dm, section, X_t, cell, NULL, &x_t);CHKERRQ(ierr); 2723 } 2724 if (dmAux) { 2725 PetscInt subcell; 2726 ierr = DMPlexGetAuxiliaryPoint(dm, dmAux, cell, &subcell);CHKERRQ(ierr); 2727 ierr = DMPlexVecGetClosure(plexAux, sectionAux, A, subcell, NULL, &x);CHKERRQ(ierr); 2728 for (i = 0; i < totDimAux; ++i) a[cind*totDimAux+i] = x[i]; 2729 ierr = DMPlexVecRestoreClosure(plexAux, sectionAux, A, subcell, NULL, &x);CHKERRQ(ierr); 2730 } 2731 ierr = DMPlexVecGetClosure(dm, section, Y, cell, NULL, &x);CHKERRQ(ierr); 2732 for (i = 0; i < totDim; ++i) y[cind*totDim+i] = x[i]; 2733 ierr = DMPlexVecRestoreClosure(dm, section, Y, cell, NULL, &x);CHKERRQ(ierr); 2734 } 2735 ierr = PetscMemzero(elemMat, numCells*totDim*totDim * sizeof(PetscScalar));CHKERRQ(ierr); 2736 if (hasDyn) {ierr = PetscMemzero(elemMatD, numCells*totDim*totDim * sizeof(PetscScalar));CHKERRQ(ierr);} 2737 for (fieldI = 0; fieldI < Nf; ++fieldI) { 2738 PetscFE fe; 2739 PetscInt Nb; 2740 /* Conforming batches */ 2741 PetscInt numChunks, numBatches, numBlocks, Ne, blockSize, batchSize; 2742 /* Remainder */ 2743 PetscInt Nr, offset, Nq; 2744 PetscQuadrature qGeom = NULL; 2745 PetscInt maxDegree; 2746 PetscFEGeom *cgeomFEM, *chunkGeom = NULL, *remGeom = NULL; 2747 2748 ierr = PetscDSGetDiscretization(prob, fieldI, (PetscObject *) &fe);CHKERRQ(ierr); 2749 ierr = PetscFEGetQuadrature(fe, &quad);CHKERRQ(ierr); 2750 ierr = PetscFEGetDimension(fe, &Nb);CHKERRQ(ierr); 2751 ierr = PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches);CHKERRQ(ierr); 2752 ierr = DMFieldGetDegree(coordField,cellIS,NULL,&maxDegree);CHKERRQ(ierr); 2753 if (maxDegree <= 1) {ierr = DMFieldCreateDefaultQuadrature(coordField,cellIS,&qGeom);CHKERRQ(ierr);} 2754 if (!qGeom) { 2755 ierr = PetscFEGetQuadrature(fe,&qGeom);CHKERRQ(ierr); 2756 ierr = PetscObjectReference((PetscObject)qGeom);CHKERRQ(ierr); 2757 } 2758 ierr = PetscQuadratureGetData(qGeom, NULL, NULL, &Nq, NULL, NULL);CHKERRQ(ierr); 2759 ierr = DMSNESGetFEGeom(coordField,cellIS,qGeom,PETSC_FALSE,&cgeomFEM);CHKERRQ(ierr); 2760 blockSize = Nb; 2761 batchSize = numBlocks * blockSize; 2762 ierr = PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches);CHKERRQ(ierr); 2763 numChunks = numCells / (numBatches*batchSize); 2764 Ne = numChunks*numBatches*batchSize; 2765 Nr = numCells % (numBatches*batchSize); 2766 offset = numCells - Nr; 2767 ierr = PetscFEGeomGetChunk(cgeomFEM,0,offset,&chunkGeom);CHKERRQ(ierr); 2768 ierr = PetscFEGeomGetChunk(cgeomFEM,offset,numCells,&remGeom);CHKERRQ(ierr); 2769 for (fieldJ = 0; fieldJ < Nf; ++fieldJ) { 2770 ierr = PetscFEIntegrateJacobian(fe, prob, PETSCFE_JACOBIAN, fieldI, fieldJ, Ne, chunkGeom, u, u_t, probAux, a, t, X_tShift, elemMat);CHKERRQ(ierr); 2771 ierr = PetscFEIntegrateJacobian(fe, prob, PETSCFE_JACOBIAN, fieldI, fieldJ, Nr, remGeom, &u[offset*totDim], u_t ? &u_t[offset*totDim] : NULL, probAux, &a[offset*totDimAux], t, X_tShift, &elemMat[offset*totDim*totDim]);CHKERRQ(ierr); 2772 if (hasDyn) { 2773 ierr = PetscFEIntegrateJacobian(fe, prob, PETSCFE_JACOBIAN_DYN, fieldI, fieldJ, Ne, chunkGeom, u, u_t, probAux, a, t, X_tShift, elemMatD);CHKERRQ(ierr); 2774 ierr = PetscFEIntegrateJacobian(fe, prob, PETSCFE_JACOBIAN_DYN, fieldI, fieldJ, Nr, remGeom, &u[offset*totDim], u_t ? &u_t[offset*totDim] : NULL, probAux, &a[offset*totDimAux], t, X_tShift, &elemMatD[offset*totDim*totDim]);CHKERRQ(ierr); 2775 } 2776 } 2777 ierr = PetscFEGeomRestoreChunk(cgeomFEM,offset,numCells,&remGeom);CHKERRQ(ierr); 2778 ierr = PetscFEGeomRestoreChunk(cgeomFEM,0,offset,&chunkGeom);CHKERRQ(ierr); 2779 ierr = DMSNESRestoreFEGeom(coordField,cellIS,qGeom,PETSC_FALSE,&cgeomFEM);CHKERRQ(ierr); 2780 ierr = PetscQuadratureDestroy(&qGeom);CHKERRQ(ierr); 2781 } 2782 if (hasDyn) { 2783 for (c = 0; c < numCells*totDim*totDim; ++c) elemMat[c] += X_tShift*elemMatD[c]; 2784 } 2785 for (c = cStart; c < cEnd; ++c) { 2786 const PetscInt cell = cells ? cells[c] : c; 2787 const PetscInt cind = c - cStart; 2788 const PetscBLASInt M = totDim, one = 1; 2789 const PetscScalar a = 1.0, b = 0.0; 2790 2791 PetscStackCallBLAS("BLASgemv", BLASgemv_("N", &M, &M, &a, &elemMat[cind*totDim*totDim], &M, &y[cind*totDim], &one, &b, z, &one)); 2792 if (mesh->printFEM > 1) { 2793 ierr = DMPrintCellMatrix(c, name, totDim, totDim, &elemMat[cind*totDim*totDim]);CHKERRQ(ierr); 2794 ierr = DMPrintCellVector(c, "Y", totDim, &y[cind*totDim]);CHKERRQ(ierr); 2795 ierr = DMPrintCellVector(c, "Z", totDim, z);CHKERRQ(ierr); 2796 } 2797 ierr = DMPlexVecSetClosure(dm, section, Z, cell, z, ADD_VALUES);CHKERRQ(ierr); 2798 } 2799 ierr = PetscFree6(u,u_t,elemMat,elemMatD,y,z);CHKERRQ(ierr); 2800 if (mesh->printFEM) { 2801 ierr = PetscPrintf(PETSC_COMM_WORLD, "Z:\n");CHKERRQ(ierr); 2802 ierr = VecView(Z, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr); 2803 } 2804 ierr = PetscFree(a);CHKERRQ(ierr); 2805 ierr = ISDestroy(&cellIS);CHKERRQ(ierr); 2806 ierr = DMDestroy(&plexAux);CHKERRQ(ierr); 2807 ierr = DMDestroy(&plex);CHKERRQ(ierr); 2808 ierr = PetscLogEventEnd(DMPLEX_JacobianFEM,dm,0,0,0);CHKERRQ(ierr); 2809 PetscFunctionReturn(0); 2810 } 2811 2812 /*@ 2813 DMPlexSNESComputeJacobianFEM - Form the local portion of the Jacobian matrix J at the local solution X using pointwise functions specified by the user. 2814 2815 Input Parameters: 2816 + dm - The mesh 2817 . X - Local input vector 2818 - user - The user context 2819 2820 Output Parameter: 2821 . Jac - Jacobian matrix 2822 2823 Note: 2824 We form the residual one batch of elements at a time. This allows us to offload work onto an accelerator, 2825 like a GPU, or vectorize on a multicore machine. 2826 2827 Level: developer 2828 2829 .seealso: FormFunctionLocal() 2830 @*/ 2831 PetscErrorCode DMPlexSNESComputeJacobianFEM(DM dm, Vec X, Mat Jac, Mat JacP,void *user) 2832 { 2833 DM plex; 2834 PetscDS prob; 2835 IS cellIS; 2836 PetscBool hasJac, hasPrec; 2837 PetscInt depth; 2838 PetscErrorCode ierr; 2839 2840 PetscFunctionBegin; 2841 ierr = DMSNESConvertPlex(dm,&plex,PETSC_TRUE);CHKERRQ(ierr); 2842 ierr = DMPlexGetDepth(plex, &depth);CHKERRQ(ierr); 2843 ierr = DMGetStratumIS(plex, "dim", depth, &cellIS);CHKERRQ(ierr); 2844 if (!cellIS) {ierr = DMGetStratumIS(plex, "depth", depth, &cellIS);CHKERRQ(ierr);} 2845 ierr = DMGetDS(dm, &prob);CHKERRQ(ierr); 2846 ierr = PetscDSHasJacobian(prob, &hasJac);CHKERRQ(ierr); 2847 ierr = PetscDSHasJacobianPreconditioner(prob, &hasPrec);CHKERRQ(ierr); 2848 if (hasJac && hasPrec) {ierr = MatZeroEntries(Jac);CHKERRQ(ierr);} 2849 ierr = MatZeroEntries(JacP);CHKERRQ(ierr); 2850 ierr = DMPlexComputeJacobian_Internal(plex, cellIS, 0.0, 0.0, X, NULL, Jac, JacP, user);CHKERRQ(ierr); 2851 ierr = ISDestroy(&cellIS);CHKERRQ(ierr); 2852 ierr = DMDestroy(&plex);CHKERRQ(ierr); 2853 PetscFunctionReturn(0); 2854 } 2855 2856 /*@ 2857 DMPlexSetSNESLocalFEM - Use DMPlex's internal FEM routines to compute SNES boundary values, residual, and Jacobian. 2858 2859 Input Parameters: 2860 + dm - The DM object 2861 . boundaryctx - the user context that will be passed to pointwise evaluation of boundary values (see PetscDSAddBoundary()) 2862 . residualctx - the user context that will be passed to pointwise evaluation of finite element residual computations (see PetscDSSetResidual()) 2863 - jacobianctx - the user context that will be passed to pointwise evaluation of finite element Jacobian construction (see PetscDSSetJacobian()) 2864 2865 Level: developer 2866 @*/ 2867 PetscErrorCode DMPlexSetSNESLocalFEM(DM dm, void *boundaryctx, void *residualctx, void *jacobianctx) 2868 { 2869 PetscErrorCode ierr; 2870 2871 PetscFunctionBegin; 2872 ierr = DMSNESSetBoundaryLocal(dm,DMPlexSNESComputeBoundaryFEM,boundaryctx);CHKERRQ(ierr); 2873 ierr = DMSNESSetFunctionLocal(dm,DMPlexSNESComputeResidualFEM,residualctx);CHKERRQ(ierr); 2874 ierr = DMSNESSetJacobianLocal(dm,DMPlexSNESComputeJacobianFEM,jacobianctx);CHKERRQ(ierr); 2875 PetscFunctionReturn(0); 2876 } 2877 2878 PetscErrorCode DMSNESCheckFromOptions_Internal(SNES snes, DM dm, Vec u, PetscErrorCode (**exactFuncs)(PetscInt, PetscReal, const PetscReal x[], PetscInt, PetscScalar *u, void *ctx), void **ctxs) 2879 { 2880 PetscErrorCode (**exacts)(PetscInt, PetscReal, const PetscReal x[], PetscInt, PetscScalar *u, void *ctx); 2881 PetscDS prob; 2882 Mat J, M; 2883 Vec r, b; 2884 MatNullSpace nullSpace; 2885 PetscReal *error, res = 0.0; 2886 PetscInt numFields; 2887 PetscBool hasJac, hasPrec; 2888 PetscInt Nf, f; 2889 PetscErrorCode ierr; 2890 2891 PetscFunctionBegin; 2892 ierr = DMGetNumFields(dm, &Nf);CHKERRQ(ierr); 2893 ierr = DMGetDS(dm, &prob);CHKERRQ(ierr); 2894 ierr = PetscMalloc1(Nf, &exacts);CHKERRQ(ierr); 2895 for (f = 0; f < Nf; ++f) {ierr = PetscDSGetExactSolution(prob, f, &exacts[f]);CHKERRQ(ierr);} 2896 ierr = VecDuplicate(u, &r);CHKERRQ(ierr); 2897 ierr = DMCreateMatrix(dm, &J);CHKERRQ(ierr); 2898 /* TODO Null space for J */ 2899 /* Check discretization error */ 2900 ierr = DMGetNumFields(dm, &numFields);CHKERRQ(ierr); 2901 ierr = PetscMalloc1(PetscMax(1, numFields), &error);CHKERRQ(ierr); 2902 ierr = DMProjectFunction(dm, 0.0, exactFuncs ? exactFuncs : exacts, ctxs, INSERT_ALL_VALUES, u);CHKERRQ(ierr); 2903 if (numFields > 1) { 2904 PetscInt f; 2905 2906 ierr = DMComputeL2FieldDiff(dm, 0.0, exactFuncs ? exactFuncs : exacts, ctxs, u, error);CHKERRQ(ierr); 2907 ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: [");CHKERRQ(ierr); 2908 for (f = 0; f < numFields; ++f) { 2909 if (f) {ierr = PetscPrintf(PETSC_COMM_WORLD, ", ");CHKERRQ(ierr);} 2910 if (error[f] >= 1.0e-11) {ierr = PetscPrintf(PETSC_COMM_WORLD, "%g", (double)error[f]);CHKERRQ(ierr);} 2911 else {ierr = PetscPrintf(PETSC_COMM_WORLD, "< 1.0e-11");CHKERRQ(ierr);} 2912 } 2913 ierr = PetscPrintf(PETSC_COMM_WORLD, "]\n");CHKERRQ(ierr); 2914 } else { 2915 ierr = DMComputeL2Diff(dm, 0.0, exactFuncs ? exactFuncs : exacts, ctxs, u, &error[0]);CHKERRQ(ierr); 2916 if (error[0] >= 1.0e-11) {ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: %g\n", (double)error[0]);CHKERRQ(ierr);} 2917 else {ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: < 1.0e-11\n");CHKERRQ(ierr);} 2918 } 2919 ierr = PetscFree(error);CHKERRQ(ierr); 2920 /* Check residual */ 2921 ierr = SNESComputeFunction(snes, u, r);CHKERRQ(ierr); 2922 ierr = VecNorm(r, NORM_2, &res);CHKERRQ(ierr); 2923 ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Residual: %g\n", (double)res);CHKERRQ(ierr); 2924 ierr = VecChop(r, 1.0e-10);CHKERRQ(ierr); 2925 ierr = PetscObjectSetName((PetscObject) r, "Initial Residual");CHKERRQ(ierr); 2926 ierr = PetscObjectSetOptionsPrefix((PetscObject)r,"res_");CHKERRQ(ierr); 2927 ierr = VecViewFromOptions(r, NULL, "-vec_view");CHKERRQ(ierr); 2928 /* Check Jacobian */ 2929 ierr = PetscDSHasJacobian(prob, &hasJac);CHKERRQ(ierr); 2930 ierr = PetscDSHasJacobianPreconditioner(prob, &hasPrec);CHKERRQ(ierr); 2931 if (hasJac && hasPrec) { 2932 ierr = DMCreateMatrix(dm, &M);CHKERRQ(ierr); 2933 ierr = SNESComputeJacobian(snes, u, J, M);CHKERRQ(ierr); 2934 ierr = PetscObjectSetOptionsPrefix((PetscObject) M, "jacpre_");CHKERRQ(ierr); 2935 ierr = MatViewFromOptions(M, NULL, "-mat_view");CHKERRQ(ierr); 2936 ierr = MatDestroy(&M);CHKERRQ(ierr); 2937 } else { 2938 ierr = SNESComputeJacobian(snes, u, J, J);CHKERRQ(ierr); 2939 } 2940 ierr = PetscObjectSetOptionsPrefix((PetscObject) J, "jac_");CHKERRQ(ierr); 2941 ierr = MatViewFromOptions(J, NULL, "-mat_view");CHKERRQ(ierr); 2942 ierr = MatGetNullSpace(J, &nullSpace);CHKERRQ(ierr); 2943 if (nullSpace) { 2944 PetscBool isNull; 2945 ierr = MatNullSpaceTest(nullSpace, J, &isNull);CHKERRQ(ierr); 2946 if (!isNull) SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_PLIB, "The null space calculated for the system operator is invalid."); 2947 } 2948 ierr = VecDuplicate(u, &b);CHKERRQ(ierr); 2949 ierr = VecSet(r, 0.0);CHKERRQ(ierr); 2950 ierr = SNESComputeFunction(snes, r, b);CHKERRQ(ierr); 2951 ierr = MatMult(J, u, r);CHKERRQ(ierr); 2952 ierr = VecAXPY(r, 1.0, b);CHKERRQ(ierr); 2953 ierr = VecDestroy(&b);CHKERRQ(ierr); 2954 ierr = VecNorm(r, NORM_2, &res);CHKERRQ(ierr); 2955 ierr = PetscPrintf(PETSC_COMM_WORLD, "Linear L_2 Residual: %g\n", (double)res);CHKERRQ(ierr); 2956 ierr = VecChop(r, 1.0e-10);CHKERRQ(ierr); 2957 ierr = PetscObjectSetName((PetscObject) r, "Au - b = Au + F(0)");CHKERRQ(ierr); 2958 ierr = PetscObjectSetOptionsPrefix((PetscObject)r,"linear_res_");CHKERRQ(ierr); 2959 ierr = VecViewFromOptions(r, NULL, "-vec_view");CHKERRQ(ierr); 2960 ierr = VecDestroy(&r);CHKERRQ(ierr); 2961 ierr = MatNullSpaceDestroy(&nullSpace);CHKERRQ(ierr); 2962 ierr = MatDestroy(&J);CHKERRQ(ierr); 2963 ierr = PetscFree(exacts);CHKERRQ(ierr); 2964 PetscFunctionReturn(0); 2965 } 2966 2967 /*@C 2968 DMSNESCheckFromOptions - Check the residual and Jacobian functions using the exact solution by outputting some diagnostic information 2969 2970 Input Parameters: 2971 + snes - the SNES object 2972 . u - representative SNES vector 2973 . exactFuncs - pointwise functions of the exact solution for each field 2974 - ctxs - contexts for the functions 2975 2976 Level: developer 2977 @*/ 2978 PetscErrorCode DMSNESCheckFromOptions(SNES snes, Vec u, PetscErrorCode (**exactFuncs)(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar *u, void *ctx), void **ctxs) 2979 { 2980 PetscErrorCode (**exact)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *) = NULL; 2981 DM dm; 2982 PetscDS prob; 2983 Vec sol; 2984 PetscBool check; 2985 PetscInt Nf, f; 2986 PetscErrorCode ierr; 2987 2988 PetscFunctionBegin; 2989 ierr = PetscOptionsHasName(((PetscObject)snes)->options,((PetscObject)snes)->prefix, "-dmsnes_check", &check);CHKERRQ(ierr); 2990 if (!check) PetscFunctionReturn(0); 2991 ierr = SNESGetDM(snes, &dm);CHKERRQ(ierr); 2992 ierr = DMGetDS(dm, &prob);CHKERRQ(ierr); 2993 if (!exactFuncs) { 2994 ierr = PetscDSGetNumFields(prob, &Nf);CHKERRQ(ierr); 2995 ierr = PetscMalloc1(Nf, &exact);CHKERRQ(ierr); 2996 for (f = 0; f < Nf; ++f) {ierr = PetscDSGetExactSolution(prob, f, &exact[f]);CHKERRQ(ierr);} 2997 } 2998 ierr = VecDuplicate(u, &sol);CHKERRQ(ierr); 2999 ierr = SNESSetSolution(snes, sol);CHKERRQ(ierr); 3000 ierr = DMSNESCheckFromOptions_Internal(snes, dm, sol, exactFuncs ? exactFuncs : exact, ctxs);CHKERRQ(ierr); 3001 ierr = VecDestroy(&sol);CHKERRQ(ierr); 3002 ierr = PetscFree(exact);CHKERRQ(ierr); 3003 PetscFunctionReturn(0); 3004 } 3005