1 #define PETSCDM_DLL 2 #include <petsc/private/dmpleximpl.h> /*I "petscdmplex.h" I*/ 3 #include <petsc/private/hashseti.h> /*I "petscdmplex.h" I*/ 4 #include <petscsf.h> 5 6 /*@ 7 DMPlexCreateDoublet - Creates a mesh of two cells of the specified type, optionally with later refinement. 8 9 Collective on MPI_Comm 10 11 Input Parameters: 12 + comm - The communicator for the DM object 13 . dim - The spatial dimension 14 . simplex - Flag for simplicial cells, otherwise they are tensor product cells 15 . interpolate - Flag to create intermediate mesh pieces (edges, faces) 16 . refinementUniform - Flag for uniform parallel refinement 17 - refinementLimit - A nonzero number indicates the largest admissible volume for a refined cell 18 19 Output Parameter: 20 . dm - The DM object 21 22 Level: beginner 23 24 .keywords: DM, create 25 .seealso: DMSetType(), DMCreate() 26 @*/ 27 PetscErrorCode DMPlexCreateDoublet(MPI_Comm comm, PetscInt dim, PetscBool simplex, PetscBool interpolate, PetscBool refinementUniform, PetscReal refinementLimit, DM *newdm) 28 { 29 DM dm; 30 PetscInt p; 31 PetscMPIInt rank; 32 PetscErrorCode ierr; 33 34 PetscFunctionBegin; 35 ierr = DMCreate(comm, &dm);CHKERRQ(ierr); 36 ierr = DMSetType(dm, DMPLEX);CHKERRQ(ierr); 37 ierr = DMSetDimension(dm, dim);CHKERRQ(ierr); 38 ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr); 39 switch (dim) { 40 case 2: 41 if (simplex) {ierr = PetscObjectSetName((PetscObject) dm, "triangular");CHKERRQ(ierr);} 42 else {ierr = PetscObjectSetName((PetscObject) dm, "quadrilateral");CHKERRQ(ierr);} 43 break; 44 case 3: 45 if (simplex) {ierr = PetscObjectSetName((PetscObject) dm, "tetrahedral");CHKERRQ(ierr);} 46 else {ierr = PetscObjectSetName((PetscObject) dm, "hexahedral");CHKERRQ(ierr);} 47 break; 48 default: 49 SETERRQ1(comm, PETSC_ERR_ARG_OUTOFRANGE, "Cannot make meshes for dimension %d", dim); 50 } 51 if (rank) { 52 PetscInt numPoints[2] = {0, 0}; 53 ierr = DMPlexCreateFromDAG(dm, 1, numPoints, NULL, NULL, NULL, NULL);CHKERRQ(ierr); 54 } else { 55 switch (dim) { 56 case 2: 57 if (simplex) { 58 PetscInt numPoints[2] = {4, 2}; 59 PetscInt coneSize[6] = {3, 3, 0, 0, 0, 0}; 60 PetscInt cones[6] = {2, 3, 4, 5, 4, 3}; 61 PetscInt coneOrientations[6] = {0, 0, 0, 0, 0, 0}; 62 PetscScalar vertexCoords[8] = {-0.5, 0.5, 0.0, 0.0, 0.0, 1.0, 0.5, 0.5}; 63 PetscInt markerPoints[8] = {2, 1, 3, 1, 4, 1, 5, 1}; 64 65 ierr = DMPlexCreateFromDAG(dm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr); 66 for (p = 0; p < 4; ++p) {ierr = DMSetLabelValue(dm, "marker", markerPoints[p*2], markerPoints[p*2+1]);CHKERRQ(ierr);} 67 } else { 68 PetscInt numPoints[2] = {6, 2}; 69 PetscInt coneSize[8] = {4, 4, 0, 0, 0, 0, 0, 0}; 70 PetscInt cones[8] = {2, 3, 4, 5, 3, 6, 7, 4}; 71 PetscInt coneOrientations[8] = {0, 0, 0, 0, 0, 0, 0, 0}; 72 PetscScalar vertexCoords[12] = {-1.0, -0.5, 0.0, -0.5, 0.0, 0.5, -1.0, 0.5, 1.0, -0.5, 1.0, 0.5}; 73 74 ierr = DMPlexCreateFromDAG(dm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr); 75 } 76 break; 77 case 3: 78 if (simplex) { 79 PetscInt numPoints[2] = {5, 2}; 80 PetscInt coneSize[7] = {4, 4, 0, 0, 0, 0, 0}; 81 PetscInt cones[8] = {4, 3, 5, 2, 5, 3, 4, 6}; 82 PetscInt coneOrientations[8] = {0, 0, 0, 0, 0, 0, 0, 0}; 83 PetscScalar vertexCoords[15] = {-1.0, 0.0, 0.0, 0.0, -1.0, 0.0, 0.0, 0.0, 1.0, 0.0, 1.0, 0.0, 1.0, 0.0, 0.0}; 84 PetscInt markerPoints[10] = {2, 1, 3, 1, 4, 1, 5, 1, 6, 1}; 85 86 ierr = DMPlexCreateFromDAG(dm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr); 87 for (p = 0; p < 5; ++p) {ierr = DMSetLabelValue(dm, "marker", markerPoints[p*2], markerPoints[p*2+1]);CHKERRQ(ierr);} 88 } else { 89 PetscInt numPoints[2] = {12, 2}; 90 PetscInt coneSize[14] = {8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}; 91 PetscInt cones[16] = {2, 3, 4, 5, 6, 7, 8, 9, 5, 4, 10, 11, 7, 12, 13, 8}; 92 PetscInt coneOrientations[16] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}; 93 PetscScalar vertexCoords[36] = {-1.0, -0.5, -0.5, -1.0, 0.5, -0.5, 0.0, 0.5, -0.5, 0.0, -0.5, -0.5, 94 -1.0, -0.5, 0.5, 0.0, -0.5, 0.5, 0.0, 0.5, 0.5, -1.0, 0.5, 0.5, 95 1.0, 0.5, -0.5, 1.0, -0.5, -0.5, 1.0, -0.5, 0.5, 1.0, 0.5, 0.5}; 96 97 ierr = DMPlexCreateFromDAG(dm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr); 98 } 99 break; 100 default: 101 SETERRQ1(comm, PETSC_ERR_ARG_OUTOFRANGE, "Cannot make meshes for dimension %d", dim); 102 } 103 } 104 *newdm = dm; 105 if (refinementLimit > 0.0) { 106 DM rdm; 107 const char *name; 108 109 ierr = DMPlexSetRefinementUniform(*newdm, PETSC_FALSE);CHKERRQ(ierr); 110 ierr = DMPlexSetRefinementLimit(*newdm, refinementLimit);CHKERRQ(ierr); 111 ierr = DMRefine(*newdm, comm, &rdm);CHKERRQ(ierr); 112 ierr = PetscObjectGetName((PetscObject) *newdm, &name);CHKERRQ(ierr); 113 ierr = PetscObjectSetName((PetscObject) rdm, name);CHKERRQ(ierr); 114 ierr = DMDestroy(newdm);CHKERRQ(ierr); 115 *newdm = rdm; 116 } 117 if (interpolate) { 118 DM idm; 119 120 ierr = DMPlexInterpolate(*newdm, &idm);CHKERRQ(ierr); 121 ierr = DMDestroy(newdm);CHKERRQ(ierr); 122 *newdm = idm; 123 } 124 { 125 DM refinedMesh = NULL; 126 DM distributedMesh = NULL; 127 128 /* Distribute mesh over processes */ 129 ierr = DMPlexDistribute(*newdm, 0, NULL, &distributedMesh);CHKERRQ(ierr); 130 if (distributedMesh) { 131 ierr = DMDestroy(newdm);CHKERRQ(ierr); 132 *newdm = distributedMesh; 133 } 134 if (refinementUniform) { 135 ierr = DMPlexSetRefinementUniform(*newdm, refinementUniform);CHKERRQ(ierr); 136 ierr = DMRefine(*newdm, comm, &refinedMesh);CHKERRQ(ierr); 137 if (refinedMesh) { 138 ierr = DMDestroy(newdm);CHKERRQ(ierr); 139 *newdm = refinedMesh; 140 } 141 } 142 } 143 PetscFunctionReturn(0); 144 } 145 146 /*@ 147 DMPlexCreateSquareBoundary - Creates a 1D mesh the is the boundary of a square lattice. 148 149 Collective on MPI_Comm 150 151 Input Parameters: 152 + comm - The communicator for the DM object 153 . lower - The lower left corner coordinates 154 . upper - The upper right corner coordinates 155 - edges - The number of cells in each direction 156 157 Output Parameter: 158 . dm - The DM object 159 160 Note: Here is the numbering returned for 2 cells in each direction: 161 $ 18--5-17--4--16 162 $ | | | 163 $ 6 10 3 164 $ | | | 165 $ 19-11-20--9--15 166 $ | | | 167 $ 7 8 2 168 $ | | | 169 $ 12--0-13--1--14 170 171 Level: beginner 172 173 .keywords: DM, create 174 .seealso: DMPlexCreateBoxMesh(), DMPlexCreateCubeBoundary(), DMSetType(), DMCreate() 175 @*/ 176 PetscErrorCode DMPlexCreateSquareBoundary(DM dm, const PetscReal lower[], const PetscReal upper[], const PetscInt edges[]) 177 { 178 const PetscInt numVertices = (edges[0]+1)*(edges[1]+1); 179 const PetscInt numEdges = edges[0]*(edges[1]+1) + (edges[0]+1)*edges[1]; 180 PetscInt markerTop = 1; 181 PetscInt markerBottom = 1; 182 PetscInt markerRight = 1; 183 PetscInt markerLeft = 1; 184 PetscBool markerSeparate = PETSC_FALSE; 185 Vec coordinates; 186 PetscSection coordSection; 187 PetscScalar *coords; 188 PetscInt coordSize; 189 PetscMPIInt rank; 190 PetscInt v, vx, vy; 191 PetscErrorCode ierr; 192 193 PetscFunctionBegin; 194 ierr = PetscOptionsGetBool(((PetscObject) dm)->options,((PetscObject) dm)->prefix, "-dm_plex_separate_marker", &markerSeparate, NULL);CHKERRQ(ierr); 195 if (markerSeparate) { 196 markerTop = 3; 197 markerBottom = 1; 198 markerRight = 2; 199 markerLeft = 4; 200 } 201 ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)dm), &rank);CHKERRQ(ierr); 202 if (!rank) { 203 PetscInt e, ex, ey; 204 205 ierr = DMPlexSetChart(dm, 0, numEdges+numVertices);CHKERRQ(ierr); 206 for (e = 0; e < numEdges; ++e) { 207 ierr = DMPlexSetConeSize(dm, e, 2);CHKERRQ(ierr); 208 } 209 ierr = DMSetUp(dm);CHKERRQ(ierr); /* Allocate space for cones */ 210 for (vx = 0; vx <= edges[0]; vx++) { 211 for (ey = 0; ey < edges[1]; ey++) { 212 PetscInt edge = vx*edges[1] + ey + edges[0]*(edges[1]+1); 213 PetscInt vertex = ey*(edges[0]+1) + vx + numEdges; 214 PetscInt cone[2]; 215 216 cone[0] = vertex; cone[1] = vertex+edges[0]+1; 217 ierr = DMPlexSetCone(dm, edge, cone);CHKERRQ(ierr); 218 if (vx == edges[0]) { 219 ierr = DMSetLabelValue(dm, "marker", edge, markerRight);CHKERRQ(ierr); 220 ierr = DMSetLabelValue(dm, "marker", cone[0], markerRight);CHKERRQ(ierr); 221 if (ey == edges[1]-1) { 222 ierr = DMSetLabelValue(dm, "marker", cone[1], markerRight);CHKERRQ(ierr); 223 ierr = DMSetLabelValue(dm, "Face Sets", cone[1], markerRight);CHKERRQ(ierr); 224 } 225 } else if (vx == 0) { 226 ierr = DMSetLabelValue(dm, "marker", edge, markerLeft);CHKERRQ(ierr); 227 ierr = DMSetLabelValue(dm, "marker", cone[0], markerLeft);CHKERRQ(ierr); 228 if (ey == edges[1]-1) { 229 ierr = DMSetLabelValue(dm, "marker", cone[1], markerLeft);CHKERRQ(ierr); 230 ierr = DMSetLabelValue(dm, "Face Sets", cone[1], markerLeft);CHKERRQ(ierr); 231 } 232 } 233 } 234 } 235 for (vy = 0; vy <= edges[1]; vy++) { 236 for (ex = 0; ex < edges[0]; ex++) { 237 PetscInt edge = vy*edges[0] + ex; 238 PetscInt vertex = vy*(edges[0]+1) + ex + numEdges; 239 PetscInt cone[2]; 240 241 cone[0] = vertex; cone[1] = vertex+1; 242 ierr = DMPlexSetCone(dm, edge, cone);CHKERRQ(ierr); 243 if (vy == edges[1]) { 244 ierr = DMSetLabelValue(dm, "marker", edge, markerTop);CHKERRQ(ierr); 245 ierr = DMSetLabelValue(dm, "marker", cone[0], markerTop);CHKERRQ(ierr); 246 if (ex == edges[0]-1) { 247 ierr = DMSetLabelValue(dm, "marker", cone[1], markerTop);CHKERRQ(ierr); 248 ierr = DMSetLabelValue(dm, "Face Sets", cone[1], markerTop);CHKERRQ(ierr); 249 } 250 } else if (vy == 0) { 251 ierr = DMSetLabelValue(dm, "marker", edge, markerBottom);CHKERRQ(ierr); 252 ierr = DMSetLabelValue(dm, "marker", cone[0], markerBottom);CHKERRQ(ierr); 253 if (ex == edges[0]-1) { 254 ierr = DMSetLabelValue(dm, "marker", cone[1], markerBottom);CHKERRQ(ierr); 255 ierr = DMSetLabelValue(dm, "Face Sets", cone[1], markerBottom);CHKERRQ(ierr); 256 } 257 } 258 } 259 } 260 } 261 ierr = DMPlexSymmetrize(dm);CHKERRQ(ierr); 262 ierr = DMPlexStratify(dm);CHKERRQ(ierr); 263 /* Build coordinates */ 264 ierr = DMSetCoordinateDim(dm, 2);CHKERRQ(ierr); 265 ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr); 266 ierr = PetscSectionSetNumFields(coordSection, 1);CHKERRQ(ierr); 267 ierr = PetscSectionSetChart(coordSection, numEdges, numEdges + numVertices);CHKERRQ(ierr); 268 ierr = PetscSectionSetFieldComponents(coordSection, 0, 2);CHKERRQ(ierr); 269 for (v = numEdges; v < numEdges+numVertices; ++v) { 270 ierr = PetscSectionSetDof(coordSection, v, 2);CHKERRQ(ierr); 271 ierr = PetscSectionSetFieldDof(coordSection, v, 0, 2);CHKERRQ(ierr); 272 } 273 ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr); 274 ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr); 275 ierr = VecCreate(PETSC_COMM_SELF, &coordinates);CHKERRQ(ierr); 276 ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr); 277 ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr); 278 ierr = VecSetBlockSize(coordinates, 2);CHKERRQ(ierr); 279 ierr = VecSetType(coordinates,VECSTANDARD);CHKERRQ(ierr); 280 ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr); 281 for (vy = 0; vy <= edges[1]; ++vy) { 282 for (vx = 0; vx <= edges[0]; ++vx) { 283 coords[(vy*(edges[0]+1)+vx)*2+0] = lower[0] + ((upper[0] - lower[0])/edges[0])*vx; 284 coords[(vy*(edges[0]+1)+vx)*2+1] = lower[1] + ((upper[1] - lower[1])/edges[1])*vy; 285 } 286 } 287 ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr); 288 ierr = DMSetCoordinatesLocal(dm, coordinates);CHKERRQ(ierr); 289 ierr = VecDestroy(&coordinates);CHKERRQ(ierr); 290 PetscFunctionReturn(0); 291 } 292 293 /*@ 294 DMPlexCreateCubeBoundary - Creates a 2D mesh that is the boundary of a cubic lattice. 295 296 Collective on MPI_Comm 297 298 Input Parameters: 299 + comm - The communicator for the DM object 300 . lower - The lower left front corner coordinates 301 . upper - The upper right back corner coordinates 302 - edges - The number of cells in each direction 303 304 Output Parameter: 305 . dm - The DM object 306 307 Level: beginner 308 309 .keywords: DM, create 310 .seealso: DMPlexCreateBoxMesh(), DMPlexCreateSquareBoundary(), DMSetType(), DMCreate() 311 @*/ 312 PetscErrorCode DMPlexCreateCubeBoundary(DM dm, const PetscReal lower[], const PetscReal upper[], const PetscInt faces[]) 313 { 314 PetscInt vertices[3], numVertices; 315 PetscInt numFaces = 2*faces[0]*faces[1] + 2*faces[1]*faces[2] + 2*faces[0]*faces[2]; 316 Vec coordinates; 317 PetscSection coordSection; 318 PetscScalar *coords; 319 PetscInt coordSize; 320 PetscMPIInt rank; 321 PetscInt v, vx, vy, vz; 322 PetscInt voffset, iface=0, cone[4]; 323 PetscErrorCode ierr; 324 325 PetscFunctionBegin; 326 if ((faces[0] < 1) || (faces[1] < 1) || (faces[2] < 1)) SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "Must have at least 1 face per side"); 327 ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)dm), &rank);CHKERRQ(ierr); 328 vertices[0] = faces[0]+1; vertices[1] = faces[1]+1; vertices[2] = faces[2]+1; 329 numVertices = vertices[0]*vertices[1]*vertices[2]; 330 if (!rank) { 331 PetscInt f; 332 333 ierr = DMPlexSetChart(dm, 0, numFaces+numVertices);CHKERRQ(ierr); 334 for (f = 0; f < numFaces; ++f) { 335 ierr = DMPlexSetConeSize(dm, f, 4);CHKERRQ(ierr); 336 } 337 ierr = DMSetUp(dm);CHKERRQ(ierr); /* Allocate space for cones */ 338 for (v = 0; v < numFaces+numVertices; ++v) { 339 ierr = DMSetLabelValue(dm, "marker", v, 1);CHKERRQ(ierr); 340 } 341 342 /* Side 0 (Top) */ 343 for (vy = 0; vy < faces[1]; vy++) { 344 for (vx = 0; vx < faces[0]; vx++) { 345 voffset = numFaces + vertices[0]*vertices[1]*(vertices[2]-1) + vy*vertices[0] + vx; 346 cone[0] = voffset; cone[1] = voffset+1; cone[2] = voffset+vertices[0]+1; cone[3] = voffset+vertices[0]; 347 ierr = DMPlexSetCone(dm, iface, cone);CHKERRQ(ierr); 348 iface++; 349 } 350 } 351 352 /* Side 1 (Bottom) */ 353 for (vy = 0; vy < faces[1]; vy++) { 354 for (vx = 0; vx < faces[0]; vx++) { 355 voffset = numFaces + vy*(faces[0]+1) + vx; 356 cone[0] = voffset+1; cone[1] = voffset; cone[2] = voffset+vertices[0]; cone[3] = voffset+vertices[0]+1; 357 ierr = DMPlexSetCone(dm, iface, cone);CHKERRQ(ierr); 358 iface++; 359 } 360 } 361 362 /* Side 2 (Front) */ 363 for (vz = 0; vz < faces[2]; vz++) { 364 for (vx = 0; vx < faces[0]; vx++) { 365 voffset = numFaces + vz*vertices[0]*vertices[1] + vx; 366 cone[0] = voffset; cone[1] = voffset+1; cone[2] = voffset+vertices[0]*vertices[1]+1; cone[3] = voffset+vertices[0]*vertices[1]; 367 ierr = DMPlexSetCone(dm, iface, cone);CHKERRQ(ierr); 368 iface++; 369 } 370 } 371 372 /* Side 3 (Back) */ 373 for (vz = 0; vz < faces[2]; vz++) { 374 for (vx = 0; vx < faces[0]; vx++) { 375 voffset = numFaces + vz*vertices[0]*vertices[1] + vertices[0]*(vertices[1]-1) + vx; 376 cone[0] = voffset+vertices[0]*vertices[1]; cone[1] = voffset+vertices[0]*vertices[1]+1; 377 cone[2] = voffset+1; cone[3] = voffset; 378 ierr = DMPlexSetCone(dm, iface, cone);CHKERRQ(ierr); 379 iface++; 380 } 381 } 382 383 /* Side 4 (Left) */ 384 for (vz = 0; vz < faces[2]; vz++) { 385 for (vy = 0; vy < faces[1]; vy++) { 386 voffset = numFaces + vz*vertices[0]*vertices[1] + vy*vertices[0]; 387 cone[0] = voffset; cone[1] = voffset+vertices[0]*vertices[1]; 388 cone[2] = voffset+vertices[0]*vertices[1]+vertices[0]; cone[3] = voffset+vertices[0]; 389 ierr = DMPlexSetCone(dm, iface, cone);CHKERRQ(ierr); 390 iface++; 391 } 392 } 393 394 /* Side 5 (Right) */ 395 for (vz = 0; vz < faces[2]; vz++) { 396 for (vy = 0; vy < faces[1]; vy++) { 397 voffset = numFaces + vz*vertices[0]*vertices[1] + vy*vertices[0] + faces[0]; 398 cone[0] = voffset+vertices[0]*vertices[1]; cone[1] = voffset; 399 cone[2] = voffset+vertices[0]; cone[3] = voffset+vertices[0]*vertices[1]+vertices[0]; 400 ierr = DMPlexSetCone(dm, iface, cone);CHKERRQ(ierr); 401 iface++; 402 } 403 } 404 } 405 ierr = DMPlexSymmetrize(dm);CHKERRQ(ierr); 406 ierr = DMPlexStratify(dm);CHKERRQ(ierr); 407 /* Build coordinates */ 408 ierr = DMSetCoordinateDim(dm, 3);CHKERRQ(ierr); 409 ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr); 410 ierr = PetscSectionSetChart(coordSection, numFaces, numFaces + numVertices);CHKERRQ(ierr); 411 for (v = numFaces; v < numFaces+numVertices; ++v) { 412 ierr = PetscSectionSetDof(coordSection, v, 3);CHKERRQ(ierr); 413 } 414 ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr); 415 ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr); 416 ierr = VecCreate(PETSC_COMM_SELF, &coordinates);CHKERRQ(ierr); 417 ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr); 418 ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr); 419 ierr = VecSetBlockSize(coordinates, 3);CHKERRQ(ierr); 420 ierr = VecSetType(coordinates,VECSTANDARD);CHKERRQ(ierr); 421 ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr); 422 for (vz = 0; vz <= faces[2]; ++vz) { 423 for (vy = 0; vy <= faces[1]; ++vy) { 424 for (vx = 0; vx <= faces[0]; ++vx) { 425 coords[((vz*(faces[1]+1)+vy)*(faces[0]+1)+vx)*3+0] = lower[0] + ((upper[0] - lower[0])/faces[0])*vx; 426 coords[((vz*(faces[1]+1)+vy)*(faces[0]+1)+vx)*3+1] = lower[1] + ((upper[1] - lower[1])/faces[1])*vy; 427 coords[((vz*(faces[1]+1)+vy)*(faces[0]+1)+vx)*3+2] = lower[2] + ((upper[2] - lower[2])/faces[2])*vz; 428 } 429 } 430 } 431 ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr); 432 ierr = DMSetCoordinatesLocal(dm, coordinates);CHKERRQ(ierr); 433 ierr = VecDestroy(&coordinates);CHKERRQ(ierr); 434 PetscFunctionReturn(0); 435 } 436 437 static PetscErrorCode DMPlexCreateLineMesh_Internal(MPI_Comm comm,PetscInt segments,PetscReal lower,PetscReal upper,DMBoundaryType bd,DM *dm) 438 { 439 PetscInt i,fStart,fEnd,numCells = 0,numVerts = 0; 440 PetscInt numPoints[2],*coneSize,*cones,*coneOrientations; 441 PetscScalar *vertexCoords; 442 PetscReal L,maxCell; 443 PetscBool markerSeparate = PETSC_FALSE; 444 PetscInt markerLeft = 1, faceMarkerLeft = 1; 445 PetscInt markerRight = 1, faceMarkerRight = 2; 446 PetscBool wrap = (bd == DM_BOUNDARY_PERIODIC || bd == DM_BOUNDARY_TWIST) ? PETSC_TRUE : PETSC_FALSE; 447 PetscMPIInt rank; 448 PetscErrorCode ierr; 449 450 PetscFunctionBegin; 451 PetscValidPointer(dm,4); 452 453 ierr = DMCreate(comm,dm);CHKERRQ(ierr); 454 ierr = DMSetType(*dm,DMPLEX);CHKERRQ(ierr); 455 ierr = DMSetDimension(*dm,1);CHKERRQ(ierr); 456 ierr = DMCreateLabel(*dm,"marker");CHKERRQ(ierr); 457 ierr = DMCreateLabel(*dm,"Face Sets");CHKERRQ(ierr); 458 459 ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr); 460 if (!rank) numCells = segments; 461 if (!rank) numVerts = segments + (wrap ? 0 : 1); 462 463 numPoints[0] = numVerts ; numPoints[1] = numCells; 464 ierr = PetscMalloc4(numCells+numVerts,&coneSize,numCells*2,&cones,numCells+numVerts,&coneOrientations,numVerts,&vertexCoords);CHKERRQ(ierr); 465 ierr = PetscMemzero(coneOrientations,(numCells+numVerts)*sizeof(PetscInt));CHKERRQ(ierr); 466 for (i = 0; i < numCells; ++i) { coneSize[i] = 2; } 467 for (i = 0; i < numVerts; ++i) { coneSize[numCells+i] = 0; } 468 for (i = 0; i < numCells; ++i) { cones[2*i] = numCells + i%numVerts; cones[2*i+1] = numCells + (i+1)%numVerts; } 469 for (i = 0; i < numVerts; ++i) { vertexCoords[i] = lower + (upper-lower)*((PetscReal)i/(PetscReal)numCells); } 470 ierr = DMPlexCreateFromDAG(*dm,1,numPoints,coneSize,cones,coneOrientations,vertexCoords);CHKERRQ(ierr); 471 ierr = PetscFree4(coneSize,cones,coneOrientations,vertexCoords);CHKERRQ(ierr); 472 473 ierr = PetscOptionsGetBool(((PetscObject)*dm)->options,((PetscObject)*dm)->prefix,"-dm_plex_separate_marker",&markerSeparate,NULL);CHKERRQ(ierr); 474 if (markerSeparate) { markerLeft = faceMarkerLeft; markerRight = faceMarkerRight;} 475 if (!wrap && !rank) { 476 ierr = DMPlexGetHeightStratum(*dm,1,&fStart,&fEnd);CHKERRQ(ierr); 477 ierr = DMSetLabelValue(*dm,"marker",fStart,markerLeft);CHKERRQ(ierr); 478 ierr = DMSetLabelValue(*dm,"marker",fEnd-1,markerRight);CHKERRQ(ierr); 479 ierr = DMSetLabelValue(*dm,"Face Sets",fStart,faceMarkerLeft);CHKERRQ(ierr); 480 ierr = DMSetLabelValue(*dm,"Face Sets",fEnd-1,faceMarkerRight);CHKERRQ(ierr); 481 } 482 if (wrap) { 483 L = upper - lower; 484 maxCell = (PetscReal)1.1*(L/(PetscReal)PetscMax(1,segments)); 485 ierr = DMSetPeriodicity(*dm,PETSC_TRUE,&maxCell,&L,&bd);CHKERRQ(ierr); 486 } 487 PetscFunctionReturn(0); 488 } 489 490 static PetscErrorCode DMPlexCreateBoxMesh_Simplex_Internal(MPI_Comm comm, PetscInt dim, const PetscInt faces[], const PetscReal lower[], const PetscReal upper[], const DMBoundaryType periodicity[], PetscBool interpolate, DM *dm) 491 { 492 DM boundary; 493 PetscInt i; 494 PetscErrorCode ierr; 495 496 PetscFunctionBegin; 497 PetscValidPointer(dm, 4); 498 for (i = 0; i < dim; ++i) if (periodicity[i] != DM_BOUNDARY_NONE) SETERRQ(comm, PETSC_ERR_SUP, "Periodicity is not supported for simplex meshes"); 499 ierr = DMCreate(comm, &boundary);CHKERRQ(ierr); 500 PetscValidLogicalCollectiveInt(boundary,dim,2); 501 ierr = DMSetType(boundary, DMPLEX);CHKERRQ(ierr); 502 ierr = DMSetDimension(boundary, dim-1);CHKERRQ(ierr); 503 ierr = DMSetCoordinateDim(boundary, dim);CHKERRQ(ierr); 504 switch (dim) { 505 case 2: ierr = DMPlexCreateSquareBoundary(boundary, lower, upper, faces);CHKERRQ(ierr);break; 506 case 3: ierr = DMPlexCreateCubeBoundary(boundary, lower, upper, faces);CHKERRQ(ierr);break; 507 default: SETERRQ1(comm, PETSC_ERR_SUP, "Dimension not supported: %d", dim); 508 } 509 ierr = DMPlexGenerate(boundary, NULL, interpolate, dm);CHKERRQ(ierr); 510 ierr = DMDestroy(&boundary);CHKERRQ(ierr); 511 PetscFunctionReturn(0); 512 } 513 514 static PetscErrorCode DMPlexCreateCubeMesh_Internal(DM dm, const PetscReal lower[], const PetscReal upper[], const PetscInt edges[], DMBoundaryType bdX, DMBoundaryType bdY, DMBoundaryType bdZ) 515 { 516 DMLabel cutLabel = NULL; 517 PetscInt markerTop = 1, faceMarkerTop = 1; 518 PetscInt markerBottom = 1, faceMarkerBottom = 1; 519 PetscInt markerFront = 1, faceMarkerFront = 1; 520 PetscInt markerBack = 1, faceMarkerBack = 1; 521 PetscInt markerRight = 1, faceMarkerRight = 1; 522 PetscInt markerLeft = 1, faceMarkerLeft = 1; 523 PetscInt dim; 524 PetscBool markerSeparate = PETSC_FALSE, cutMarker = PETSC_FALSE; 525 PetscMPIInt rank; 526 PetscErrorCode ierr; 527 528 PetscFunctionBegin; 529 ierr = DMGetDimension(dm,&dim);CHKERRQ(ierr); 530 ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)dm), &rank);CHKERRQ(ierr); 531 ierr = DMCreateLabel(dm,"marker");CHKERRQ(ierr); 532 ierr = DMCreateLabel(dm,"Face Sets");CHKERRQ(ierr); 533 ierr = PetscOptionsGetBool(((PetscObject) dm)->options,((PetscObject) dm)->prefix, "-dm_plex_periodic_cut", &cutMarker, NULL);CHKERRQ(ierr); 534 if (bdX == DM_BOUNDARY_PERIODIC || bdX == DM_BOUNDARY_TWIST || 535 bdY == DM_BOUNDARY_PERIODIC || bdY == DM_BOUNDARY_TWIST || 536 bdZ == DM_BOUNDARY_PERIODIC || bdZ == DM_BOUNDARY_TWIST) { 537 538 if (cutMarker) {ierr = DMCreateLabel(dm, "periodic_cut");CHKERRQ(ierr); ierr = DMGetLabel(dm, "periodic_cut", &cutLabel);CHKERRQ(ierr);} 539 } 540 switch (dim) { 541 case 2: 542 faceMarkerTop = 3; 543 faceMarkerBottom = 1; 544 faceMarkerRight = 2; 545 faceMarkerLeft = 4; 546 break; 547 case 3: 548 faceMarkerBottom = 1; 549 faceMarkerTop = 2; 550 faceMarkerFront = 3; 551 faceMarkerBack = 4; 552 faceMarkerRight = 5; 553 faceMarkerLeft = 6; 554 break; 555 default: 556 SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Dimension %d not supported",dim); 557 break; 558 } 559 ierr = PetscOptionsGetBool(((PetscObject) dm)->options,((PetscObject) dm)->prefix, "-dm_plex_separate_marker", &markerSeparate, NULL);CHKERRQ(ierr); 560 if (markerSeparate) { 561 markerBottom = faceMarkerBottom; 562 markerTop = faceMarkerTop; 563 markerFront = faceMarkerFront; 564 markerBack = faceMarkerBack; 565 markerRight = faceMarkerRight; 566 markerLeft = faceMarkerLeft; 567 } 568 { 569 const PetscInt numXEdges = !rank ? edges[0] : 0; 570 const PetscInt numYEdges = !rank ? edges[1] : 0; 571 const PetscInt numZEdges = !rank ? edges[2] : 0; 572 const PetscInt numXVertices = !rank ? (bdX == DM_BOUNDARY_PERIODIC || bdX == DM_BOUNDARY_TWIST ? edges[0] : edges[0]+1) : 0; 573 const PetscInt numYVertices = !rank ? (bdY == DM_BOUNDARY_PERIODIC || bdY == DM_BOUNDARY_TWIST ? edges[1] : edges[1]+1) : 0; 574 const PetscInt numZVertices = !rank ? (bdZ == DM_BOUNDARY_PERIODIC || bdZ == DM_BOUNDARY_TWIST ? edges[2] : edges[2]+1) : 0; 575 const PetscInt numCells = numXEdges*numYEdges*numZEdges; 576 const PetscInt numXFaces = numYEdges*numZEdges; 577 const PetscInt numYFaces = numXEdges*numZEdges; 578 const PetscInt numZFaces = numXEdges*numYEdges; 579 const PetscInt numTotXFaces = numXVertices*numXFaces; 580 const PetscInt numTotYFaces = numYVertices*numYFaces; 581 const PetscInt numTotZFaces = numZVertices*numZFaces; 582 const PetscInt numFaces = numTotXFaces + numTotYFaces + numTotZFaces; 583 const PetscInt numTotXEdges = numXEdges*numYVertices*numZVertices; 584 const PetscInt numTotYEdges = numYEdges*numXVertices*numZVertices; 585 const PetscInt numTotZEdges = numZEdges*numXVertices*numYVertices; 586 const PetscInt numVertices = numXVertices*numYVertices*numZVertices; 587 const PetscInt numEdges = numTotXEdges + numTotYEdges + numTotZEdges; 588 const PetscInt firstVertex = (dim == 2) ? numFaces : numCells; 589 const PetscInt firstXFace = (dim == 2) ? 0 : numCells + numVertices; 590 const PetscInt firstYFace = firstXFace + numTotXFaces; 591 const PetscInt firstZFace = firstYFace + numTotYFaces; 592 const PetscInt firstXEdge = numCells + numFaces + numVertices; 593 const PetscInt firstYEdge = firstXEdge + numTotXEdges; 594 const PetscInt firstZEdge = firstYEdge + numTotYEdges; 595 Vec coordinates; 596 PetscSection coordSection; 597 PetscScalar *coords; 598 PetscInt coordSize; 599 PetscInt v, vx, vy, vz; 600 PetscInt c, f, fx, fy, fz, e, ex, ey, ez; 601 602 ierr = DMPlexSetChart(dm, 0, numCells+numFaces+numEdges+numVertices);CHKERRQ(ierr); 603 for (c = 0; c < numCells; c++) { 604 ierr = DMPlexSetConeSize(dm, c, 6);CHKERRQ(ierr); 605 } 606 for (f = firstXFace; f < firstXFace+numFaces; ++f) { 607 ierr = DMPlexSetConeSize(dm, f, 4);CHKERRQ(ierr); 608 } 609 for (e = firstXEdge; e < firstXEdge+numEdges; ++e) { 610 ierr = DMPlexSetConeSize(dm, e, 2);CHKERRQ(ierr); 611 } 612 ierr = DMSetUp(dm);CHKERRQ(ierr); /* Allocate space for cones */ 613 /* Build cells */ 614 for (fz = 0; fz < numZEdges; ++fz) { 615 for (fy = 0; fy < numYEdges; ++fy) { 616 for (fx = 0; fx < numXEdges; ++fx) { 617 PetscInt cell = (fz*numYEdges + fy)*numXEdges + fx; 618 PetscInt faceB = firstZFace + (fy*numXEdges+fx)*numZVertices + fz; 619 PetscInt faceT = firstZFace + (fy*numXEdges+fx)*numZVertices + ((fz+1)%numZVertices); 620 PetscInt faceF = firstYFace + (fz*numXEdges+fx)*numYVertices + fy; 621 PetscInt faceK = firstYFace + (fz*numXEdges+fx)*numYVertices + ((fy+1)%numYVertices); 622 PetscInt faceL = firstXFace + (fz*numYEdges+fy)*numXVertices + fx; 623 PetscInt faceR = firstXFace + (fz*numYEdges+fy)*numXVertices + ((fx+1)%numXVertices); 624 /* B, T, F, K, R, L */ 625 PetscInt ornt[6] = {-4, 0, 0, -1, 0, -4}; /* ??? */ 626 PetscInt cone[6]; 627 628 /* no boundary twisting in 3D */ 629 cone[0] = faceB; cone[1] = faceT; cone[2] = faceF; cone[3] = faceK; cone[4] = faceR; cone[5] = faceL; 630 ierr = DMPlexSetCone(dm, cell, cone);CHKERRQ(ierr); 631 ierr = DMPlexSetConeOrientation(dm, cell, ornt);CHKERRQ(ierr); 632 if (bdX != DM_BOUNDARY_NONE && fx == numXEdges-1 && cutLabel) {ierr = DMLabelSetValue(cutLabel, cell, 2);CHKERRQ(ierr);} 633 if (bdY != DM_BOUNDARY_NONE && fy == numYEdges-1 && cutLabel) {ierr = DMLabelSetValue(cutLabel, cell, 2);CHKERRQ(ierr);} 634 if (bdZ != DM_BOUNDARY_NONE && fz == numZEdges-1 && cutLabel) {ierr = DMLabelSetValue(cutLabel, cell, 2);CHKERRQ(ierr);} 635 } 636 } 637 } 638 /* Build x faces */ 639 for (fz = 0; fz < numZEdges; ++fz) { 640 for (fy = 0; fy < numYEdges; ++fy) { 641 for (fx = 0; fx < numXVertices; ++fx) { 642 PetscInt face = firstXFace + (fz*numYEdges+fy)*numXVertices + fx; 643 PetscInt edgeL = firstZEdge + ( fy* numXVertices+fx)*numZEdges + fz; 644 PetscInt edgeR = firstZEdge + (((fy+1)%numYVertices)*numXVertices+fx)*numZEdges + fz; 645 PetscInt edgeB = firstYEdge + ( fz* numXVertices+fx)*numYEdges + fy; 646 PetscInt edgeT = firstYEdge + (((fz+1)%numZVertices)*numXVertices+fx)*numYEdges + fy; 647 PetscInt ornt[4] = {0, 0, -2, -2}; 648 PetscInt cone[4]; 649 650 if (dim == 3) { 651 /* markers */ 652 if (bdX != DM_BOUNDARY_PERIODIC) { 653 if (fx == numXVertices-1) { 654 ierr = DMSetLabelValue(dm, "Face Sets", face, faceMarkerRight);CHKERRQ(ierr); 655 ierr = DMSetLabelValue(dm, "marker", face, markerRight);CHKERRQ(ierr); 656 } 657 else if (fx == 0) { 658 ierr = DMSetLabelValue(dm, "Face Sets", face, faceMarkerLeft);CHKERRQ(ierr); 659 ierr = DMSetLabelValue(dm, "marker", face, markerLeft);CHKERRQ(ierr); 660 } 661 } 662 } 663 cone[0] = edgeB; cone[1] = edgeR; cone[2] = edgeT; cone[3] = edgeL; 664 ierr = DMPlexSetCone(dm, face, cone);CHKERRQ(ierr); 665 ierr = DMPlexSetConeOrientation(dm, face, ornt);CHKERRQ(ierr); 666 } 667 } 668 } 669 /* Build y faces */ 670 for (fz = 0; fz < numZEdges; ++fz) { 671 for (fx = 0; fx < numXEdges; ++fx) { 672 for (fy = 0; fy < numYVertices; ++fy) { 673 PetscInt face = firstYFace + (fz*numXEdges+fx)*numYVertices + fy; 674 PetscInt edgeL = firstZEdge + (fy*numXVertices+ fx )*numZEdges + fz; 675 PetscInt edgeR = firstZEdge + (fy*numXVertices+((fx+1)%numXVertices))*numZEdges + fz; 676 PetscInt edgeB = firstXEdge + ( fz *numYVertices+fy)*numXEdges + fx; 677 PetscInt edgeT = firstXEdge + (((fz+1)%numZVertices)*numYVertices+fy)*numXEdges + fx; 678 PetscInt ornt[4] = {0, 0, -2, -2}; 679 PetscInt cone[4]; 680 681 if (dim == 3) { 682 /* markers */ 683 if (bdY != DM_BOUNDARY_PERIODIC) { 684 if (fy == numYVertices-1) { 685 ierr = DMSetLabelValue(dm, "Face Sets", face, faceMarkerBack);CHKERRQ(ierr); 686 ierr = DMSetLabelValue(dm, "marker", face, markerBack);CHKERRQ(ierr); 687 } 688 else if (fy == 0) { 689 ierr = DMSetLabelValue(dm, "Face Sets", face, faceMarkerFront);CHKERRQ(ierr); 690 ierr = DMSetLabelValue(dm, "marker", face, markerFront);CHKERRQ(ierr); 691 } 692 } 693 } 694 cone[0] = edgeB; cone[1] = edgeR; cone[2] = edgeT; cone[3] = edgeL; 695 ierr = DMPlexSetCone(dm, face, cone);CHKERRQ(ierr); 696 ierr = DMPlexSetConeOrientation(dm, face, ornt);CHKERRQ(ierr); 697 } 698 } 699 } 700 /* Build z faces */ 701 for (fy = 0; fy < numYEdges; ++fy) { 702 for (fx = 0; fx < numXEdges; ++fx) { 703 for (fz = 0; fz < numZVertices; fz++) { 704 PetscInt face = firstZFace + (fy*numXEdges+fx)*numZVertices + fz; 705 PetscInt edgeL = firstYEdge + (fz*numXVertices+ fx )*numYEdges + fy; 706 PetscInt edgeR = firstYEdge + (fz*numXVertices+((fx+1)%numXVertices))*numYEdges + fy; 707 PetscInt edgeB = firstXEdge + (fz*numYVertices+ fy )*numXEdges + fx; 708 PetscInt edgeT = firstXEdge + (fz*numYVertices+((fy+1)%numYVertices))*numXEdges + fx; 709 PetscInt ornt[4] = {0, 0, -2, -2}; 710 PetscInt cone[4]; 711 712 if (dim == 2) { 713 if (bdX == DM_BOUNDARY_TWIST && fx == numXEdges-1) {edgeR += numYEdges-1-2*fy; ornt[1] = -2;} 714 if (bdY == DM_BOUNDARY_TWIST && fy == numYEdges-1) {edgeT += numXEdges-1-2*fx; ornt[2] = 0;} 715 if (bdX != DM_BOUNDARY_NONE && fx == numXEdges-1 && cutLabel) {ierr = DMLabelSetValue(cutLabel, face, 2);CHKERRQ(ierr);} 716 if (bdY != DM_BOUNDARY_NONE && fy == numYEdges-1 && cutLabel) {ierr = DMLabelSetValue(cutLabel, face, 2);CHKERRQ(ierr);} 717 } else { 718 /* markers */ 719 if (bdZ != DM_BOUNDARY_PERIODIC) { 720 if (fz == numZVertices-1) { 721 ierr = DMSetLabelValue(dm, "Face Sets", face, faceMarkerTop);CHKERRQ(ierr); 722 ierr = DMSetLabelValue(dm, "marker", face, markerTop);CHKERRQ(ierr); 723 } 724 else if (fz == 0) { 725 ierr = DMSetLabelValue(dm, "Face Sets", face, faceMarkerBottom);CHKERRQ(ierr); 726 ierr = DMSetLabelValue(dm, "marker", face, markerBottom);CHKERRQ(ierr); 727 } 728 } 729 } 730 cone[0] = edgeB; cone[1] = edgeR; cone[2] = edgeT; cone[3] = edgeL; 731 ierr = DMPlexSetCone(dm, face, cone);CHKERRQ(ierr); 732 ierr = DMPlexSetConeOrientation(dm, face, ornt);CHKERRQ(ierr); 733 } 734 } 735 } 736 /* Build Z edges*/ 737 for (vy = 0; vy < numYVertices; vy++) { 738 for (vx = 0; vx < numXVertices; vx++) { 739 for (ez = 0; ez < numZEdges; ez++) { 740 const PetscInt edge = firstZEdge + (vy*numXVertices+vx)*numZEdges + ez; 741 const PetscInt vertexB = firstVertex + ( ez *numYVertices+vy)*numXVertices + vx; 742 const PetscInt vertexT = firstVertex + (((ez+1)%numZVertices)*numYVertices+vy)*numXVertices + vx; 743 PetscInt cone[2]; 744 745 if (dim == 3) { 746 if (bdX != DM_BOUNDARY_PERIODIC) { 747 if (vx == numXVertices-1) { 748 ierr = DMSetLabelValue(dm, "marker", edge, markerRight);CHKERRQ(ierr); 749 } 750 else if (vx == 0) { 751 ierr = DMSetLabelValue(dm, "marker", edge, markerLeft);CHKERRQ(ierr); 752 } 753 } 754 if (bdY != DM_BOUNDARY_PERIODIC) { 755 if (vy == numYVertices-1) { 756 ierr = DMSetLabelValue(dm, "marker", edge, markerBack);CHKERRQ(ierr); 757 } 758 else if (vy == 0) { 759 ierr = DMSetLabelValue(dm, "marker", edge, markerFront);CHKERRQ(ierr); 760 } 761 } 762 } 763 cone[0] = vertexB; cone[1] = vertexT; 764 ierr = DMPlexSetCone(dm, edge, cone);CHKERRQ(ierr); 765 } 766 } 767 } 768 /* Build Y edges*/ 769 for (vz = 0; vz < numZVertices; vz++) { 770 for (vx = 0; vx < numXVertices; vx++) { 771 for (ey = 0; ey < numYEdges; ey++) { 772 const PetscInt nextv = (dim == 2 && bdY == DM_BOUNDARY_TWIST && ey == numYEdges-1) ? (numXVertices-vx-1) : (vz*numYVertices+((ey+1)%numYVertices))*numXVertices + vx; 773 const PetscInt edge = firstYEdge + (vz*numXVertices+vx)*numYEdges + ey; 774 const PetscInt vertexF = firstVertex + (vz*numYVertices+ey)*numXVertices + vx; 775 const PetscInt vertexK = firstVertex + nextv; 776 PetscInt cone[2]; 777 778 cone[0] = vertexF; cone[1] = vertexK; 779 ierr = DMPlexSetCone(dm, edge, cone);CHKERRQ(ierr); 780 if (dim == 2) { 781 if ((bdX != DM_BOUNDARY_PERIODIC) && (bdX != DM_BOUNDARY_TWIST)) { 782 if (vx == numXVertices-1) { 783 ierr = DMSetLabelValue(dm, "Face Sets", edge, faceMarkerRight);CHKERRQ(ierr); 784 ierr = DMSetLabelValue(dm, "marker", edge, markerRight);CHKERRQ(ierr); 785 ierr = DMSetLabelValue(dm, "marker", cone[0], markerRight);CHKERRQ(ierr); 786 if (ey == numYEdges-1) { 787 ierr = DMSetLabelValue(dm, "marker", cone[1], markerRight);CHKERRQ(ierr); 788 } 789 } else if (vx == 0) { 790 ierr = DMSetLabelValue(dm, "Face Sets", edge, faceMarkerLeft);CHKERRQ(ierr); 791 ierr = DMSetLabelValue(dm, "marker", edge, markerLeft);CHKERRQ(ierr); 792 ierr = DMSetLabelValue(dm, "marker", cone[0], markerLeft);CHKERRQ(ierr); 793 if (ey == numYEdges-1) { 794 ierr = DMSetLabelValue(dm, "marker", cone[1], markerLeft);CHKERRQ(ierr); 795 } 796 } 797 } else { 798 if (vx == 0 && cutLabel) { 799 ierr = DMLabelSetValue(cutLabel, edge, 1);CHKERRQ(ierr); 800 ierr = DMLabelSetValue(cutLabel, cone[0], 1);CHKERRQ(ierr); 801 if (ey == numYEdges-1) { 802 ierr = DMLabelSetValue(cutLabel, cone[1], 1);CHKERRQ(ierr); 803 } 804 } 805 } 806 } else { 807 if (bdX != DM_BOUNDARY_PERIODIC) { 808 if (vx == numXVertices-1) { 809 ierr = DMSetLabelValue(dm, "marker", edge, markerRight);CHKERRQ(ierr); 810 } else if (vx == 0) { 811 ierr = DMSetLabelValue(dm, "marker", edge, markerLeft);CHKERRQ(ierr); 812 } 813 } 814 if (bdZ != DM_BOUNDARY_PERIODIC) { 815 if (vz == numZVertices-1) { 816 ierr = DMSetLabelValue(dm, "marker", edge, markerTop);CHKERRQ(ierr); 817 } else if (vz == 0) { 818 ierr = DMSetLabelValue(dm, "marker", edge, markerBottom);CHKERRQ(ierr); 819 } 820 } 821 } 822 } 823 } 824 } 825 /* Build X edges*/ 826 for (vz = 0; vz < numZVertices; vz++) { 827 for (vy = 0; vy < numYVertices; vy++) { 828 for (ex = 0; ex < numXEdges; ex++) { 829 const PetscInt nextv = (dim == 2 && bdX == DM_BOUNDARY_TWIST && ex == numXEdges-1) ? (numYVertices-vy-1)*numXVertices : (vz*numYVertices+vy)*numXVertices + (ex+1)%numXVertices; 830 const PetscInt edge = firstXEdge + (vz*numYVertices+vy)*numXEdges + ex; 831 const PetscInt vertexL = firstVertex + (vz*numYVertices+vy)*numXVertices + ex; 832 const PetscInt vertexR = firstVertex + nextv; 833 PetscInt cone[2]; 834 835 cone[0] = vertexL; cone[1] = vertexR; 836 ierr = DMPlexSetCone(dm, edge, cone);CHKERRQ(ierr); 837 if (dim == 2) { 838 if ((bdY != DM_BOUNDARY_PERIODIC) && (bdY != DM_BOUNDARY_TWIST)) { 839 if (vy == numYVertices-1) { 840 ierr = DMSetLabelValue(dm, "Face Sets", edge, faceMarkerTop);CHKERRQ(ierr); 841 ierr = DMSetLabelValue(dm, "marker", edge, markerTop);CHKERRQ(ierr); 842 ierr = DMSetLabelValue(dm, "marker", cone[0], markerTop);CHKERRQ(ierr); 843 if (ex == numXEdges-1) { 844 ierr = DMSetLabelValue(dm, "marker", cone[1], markerTop);CHKERRQ(ierr); 845 } 846 } else if (vy == 0) { 847 ierr = DMSetLabelValue(dm, "Face Sets", edge, faceMarkerBottom);CHKERRQ(ierr); 848 ierr = DMSetLabelValue(dm, "marker", edge, markerBottom);CHKERRQ(ierr); 849 ierr = DMSetLabelValue(dm, "marker", cone[0], markerBottom);CHKERRQ(ierr); 850 if (ex == numXEdges-1) { 851 ierr = DMSetLabelValue(dm, "marker", cone[1], markerBottom);CHKERRQ(ierr); 852 } 853 } 854 } else { 855 if (vy == 0 && cutLabel) { 856 ierr = DMLabelSetValue(cutLabel, edge, 1);CHKERRQ(ierr); 857 ierr = DMLabelSetValue(cutLabel, cone[0], 1);CHKERRQ(ierr); 858 if (ex == numXEdges-1) { 859 ierr = DMLabelSetValue(cutLabel, cone[1], 1);CHKERRQ(ierr); 860 } 861 } 862 } 863 } else { 864 if (bdY != DM_BOUNDARY_PERIODIC) { 865 if (vy == numYVertices-1) { 866 ierr = DMSetLabelValue(dm, "marker", edge, markerBack);CHKERRQ(ierr); 867 } 868 else if (vy == 0) { 869 ierr = DMSetLabelValue(dm, "marker", edge, markerFront);CHKERRQ(ierr); 870 } 871 } 872 if (bdZ != DM_BOUNDARY_PERIODIC) { 873 if (vz == numZVertices-1) { 874 ierr = DMSetLabelValue(dm, "marker", edge, markerTop);CHKERRQ(ierr); 875 } 876 else if (vz == 0) { 877 ierr = DMSetLabelValue(dm, "marker", edge, markerBottom);CHKERRQ(ierr); 878 } 879 } 880 } 881 } 882 } 883 } 884 ierr = DMPlexSymmetrize(dm);CHKERRQ(ierr); 885 ierr = DMPlexStratify(dm);CHKERRQ(ierr); 886 /* Build coordinates */ 887 ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr); 888 ierr = PetscSectionSetNumFields(coordSection, 1);CHKERRQ(ierr); 889 ierr = PetscSectionSetFieldComponents(coordSection, 0, dim);CHKERRQ(ierr); 890 ierr = PetscSectionSetChart(coordSection, firstVertex, firstVertex+numVertices);CHKERRQ(ierr); 891 for (v = firstVertex; v < firstVertex+numVertices; ++v) { 892 ierr = PetscSectionSetDof(coordSection, v, dim);CHKERRQ(ierr); 893 ierr = PetscSectionSetFieldDof(coordSection, v, 0, dim);CHKERRQ(ierr); 894 } 895 ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr); 896 ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr); 897 ierr = VecCreate(PETSC_COMM_SELF, &coordinates);CHKERRQ(ierr); 898 ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr); 899 ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr); 900 ierr = VecSetBlockSize(coordinates, dim);CHKERRQ(ierr); 901 ierr = VecSetType(coordinates,VECSTANDARD);CHKERRQ(ierr); 902 ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr); 903 for (vz = 0; vz < numZVertices; ++vz) { 904 for (vy = 0; vy < numYVertices; ++vy) { 905 for (vx = 0; vx < numXVertices; ++vx) { 906 coords[((vz*numYVertices+vy)*numXVertices+vx)*dim+0] = lower[0] + ((upper[0] - lower[0])/numXEdges)*vx; 907 coords[((vz*numYVertices+vy)*numXVertices+vx)*dim+1] = lower[1] + ((upper[1] - lower[1])/numYEdges)*vy; 908 if (dim == 3) { 909 coords[((vz*numYVertices+vy)*numXVertices+vx)*dim+2] = lower[2] + ((upper[2] - lower[2])/numZEdges)*vz; 910 } 911 } 912 } 913 } 914 ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr); 915 ierr = DMSetCoordinatesLocal(dm, coordinates);CHKERRQ(ierr); 916 ierr = VecDestroy(&coordinates);CHKERRQ(ierr); 917 } 918 PetscFunctionReturn(0); 919 } 920 921 static PetscErrorCode DMPlexCreateBoxMesh_Tensor_Internal(MPI_Comm comm, PetscInt dim, const PetscInt faces[], const PetscReal lower[], const PetscReal upper[], const DMBoundaryType periodicity[], PetscBool interpolate, DM *dm) 922 { 923 PetscInt i; 924 PetscErrorCode ierr; 925 926 PetscFunctionBegin; 927 PetscValidPointer(dm, 7); 928 ierr = DMCreate(comm, dm);CHKERRQ(ierr); 929 PetscValidLogicalCollectiveInt(*dm,dim,2); 930 ierr = DMSetType(*dm, DMPLEX);CHKERRQ(ierr); 931 ierr = DMSetDimension(*dm, dim);CHKERRQ(ierr); 932 switch (dim) { 933 case 2: {ierr = DMPlexCreateCubeMesh_Internal(*dm, lower, upper, faces, periodicity[0], periodicity[1], DM_BOUNDARY_NONE);CHKERRQ(ierr);break;} 934 case 3: {ierr = DMPlexCreateCubeMesh_Internal(*dm, lower, upper, faces, periodicity[0], periodicity[1], periodicity[2]);CHKERRQ(ierr);break;} 935 default: SETERRQ1(comm, PETSC_ERR_SUP, "Dimension not supported: %d", dim); 936 } 937 if (periodicity[0] == DM_BOUNDARY_PERIODIC || periodicity[0] == DM_BOUNDARY_TWIST || 938 periodicity[1] == DM_BOUNDARY_PERIODIC || periodicity[1] == DM_BOUNDARY_TWIST || 939 (dim > 2 && (periodicity[2] == DM_BOUNDARY_PERIODIC || periodicity[2] == DM_BOUNDARY_TWIST))) { 940 PetscReal L[3]; 941 PetscReal maxCell[3]; 942 943 for (i = 0; i < dim; i++) { 944 L[i] = upper[i] - lower[i]; 945 maxCell[i] = 1.1 * (L[i] / PetscMax(1,faces[i])); 946 } 947 ierr = DMSetPeriodicity(*dm,PETSC_TRUE,maxCell,L,periodicity);CHKERRQ(ierr); 948 } 949 if (!interpolate) { 950 DM udm; 951 952 ierr = DMPlexUninterpolate(*dm, &udm);CHKERRQ(ierr); 953 ierr = DMPlexCopyCoordinates(*dm, udm);CHKERRQ(ierr); 954 ierr = DMDestroy(dm);CHKERRQ(ierr); 955 *dm = udm; 956 } 957 PetscFunctionReturn(0); 958 } 959 960 /*@C 961 DMPlexCreateBoxMesh - Creates a mesh on the tensor product of unit intervals (box) using simplices or tensor cells (hexahedra). 962 963 Collective on MPI_Comm 964 965 Input Parameters: 966 + comm - The communicator for the DM object 967 . dim - The spatial dimension 968 . simplex - PETSC_TRUE for simplices, PETSC_FALSE for tensor cells 969 . faces - Number of faces per dimension, or NULL for (1,) in 1D and (2, 2) in 2D and (1, 1, 1) in 3D 970 . lower - The lower left corner, or NULL for (0, 0, 0) 971 . upper - The upper right corner, or NULL for (1, 1, 1) 972 . periodicity - The boundary type for the X,Y,Z direction, or NULL for DM_BOUNDARY_NONE 973 - interpolate - Flag to create intermediate mesh pieces (edges, faces) 974 975 Output Parameter: 976 . dm - The DM object 977 978 Note: Here is the numbering returned for 2 faces in each direction for tensor cells: 979 $ 10---17---11---18----12 980 $ | | | 981 $ | | | 982 $ 20 2 22 3 24 983 $ | | | 984 $ | | | 985 $ 7---15----8---16----9 986 $ | | | 987 $ | | | 988 $ 19 0 21 1 23 989 $ | | | 990 $ | | | 991 $ 4---13----5---14----6 992 993 and for simplicial cells 994 995 $ 14----8---15----9----16 996 $ |\ 5 |\ 7 | 997 $ | \ | \ | 998 $ 13 2 14 3 15 999 $ | 4 \ | 6 \ | 1000 $ | \ | \ | 1001 $ 11----6---12----7----13 1002 $ |\ |\ | 1003 $ | \ 1 | \ 3 | 1004 $ 10 0 11 1 12 1005 $ | 0 \ | 2 \ | 1006 $ | \ | \ | 1007 $ 8----4----9----5----10 1008 1009 Level: beginner 1010 1011 .keywords: DM, create 1012 .seealso: DMPlexCreateFromFile(), DMPlexCreateHexCylinderMesh(), DMSetType(), DMCreate() 1013 @*/ 1014 PetscErrorCode DMPlexCreateBoxMesh(MPI_Comm comm, PetscInt dim, PetscBool simplex, const PetscInt faces[], const PetscReal lower[], const PetscReal upper[], const DMBoundaryType periodicity[], PetscBool interpolate, DM *dm) 1015 { 1016 PetscInt i; 1017 PetscInt fac[3] = {0, 0, 0}; 1018 PetscReal low[3] = {0, 0, 0}; 1019 PetscReal upp[3] = {1, 1, 1}; 1020 DMBoundaryType bdt[3] = {DM_BOUNDARY_NONE, DM_BOUNDARY_NONE, DM_BOUNDARY_NONE}; 1021 PetscErrorCode ierr; 1022 1023 PetscFunctionBegin; 1024 for (i = 0; i < dim; ++i) fac[i] = faces ? faces[i] : (dim == 1 ? 1 : 4-dim); 1025 if (lower) for (i = 0; i < dim; ++i) low[i] = lower[i]; 1026 if (upper) for (i = 0; i < dim; ++i) upp[i] = upper[i]; 1027 if (periodicity) for (i = 0; i < dim; ++i) bdt[i] = periodicity[i]; 1028 1029 if (dim == 1) {ierr = DMPlexCreateLineMesh_Internal(comm, fac[0], low[0], upp[0], bdt[0], dm);CHKERRQ(ierr);} 1030 else if (simplex) {ierr = DMPlexCreateBoxMesh_Simplex_Internal(comm, dim, fac, low, upp, bdt, interpolate, dm);CHKERRQ(ierr);} 1031 else {ierr = DMPlexCreateBoxMesh_Tensor_Internal(comm, dim, fac, low, upp, bdt, interpolate, dm);CHKERRQ(ierr);} 1032 PetscFunctionReturn(0); 1033 } 1034 1035 /*@ 1036 DMPlexCreateWedgeBoxMesh - Creates a 3-D mesh tesselating the (x,y) plane and extruding in the third direction using wedge cells. 1037 1038 Collective on MPI_Comm 1039 1040 Input Parameters: 1041 + comm - The communicator for the DM object 1042 . faces - Number of faces per dimension, or NULL for (1, 1, 1) 1043 . lower - The lower left corner, or NULL for (0, 0, 0) 1044 . upper - The upper right corner, or NULL for (1, 1, 1) 1045 . periodicity - The boundary type for the X,Y,Z direction, or NULL for DM_BOUNDARY_NONE 1046 . ordExt - If PETSC_TRUE, orders the extruded cells in the height first. Otherwise, orders the cell on the layers first 1047 - interpolate - Flag to create intermediate mesh pieces (edges, faces) 1048 1049 Output Parameter: 1050 . dm - The DM object 1051 1052 Level: beginner 1053 1054 .keywords: DM, create 1055 .seealso: DMPlexCreateHexCylinderMesh(), DMPlexCreateWedgeCylinderMesh(), DMPlexExtrude(), DMPlexCreateBoxMesh(), DMSetType(), DMCreate() 1056 @*/ 1057 PetscErrorCode DMPlexCreateWedgeBoxMesh(MPI_Comm comm, const PetscInt faces[], const PetscReal lower[], const PetscReal upper[], const DMBoundaryType periodicity[], PetscBool ordExt, PetscBool interpolate, DM *dm) 1058 { 1059 DM bdm, botdm; 1060 PetscInt i; 1061 PetscInt fac[3] = {0, 0, 0}; 1062 PetscReal low[3] = {0, 0, 0}; 1063 PetscReal upp[3] = {1, 1, 1}; 1064 DMBoundaryType bdt[3] = {DM_BOUNDARY_NONE, DM_BOUNDARY_NONE, DM_BOUNDARY_NONE}; 1065 PetscErrorCode ierr; 1066 1067 PetscFunctionBegin; 1068 for (i = 0; i < 3; ++i) fac[i] = faces ? (faces[i] > 0 ? faces[i] : 1) : 1; 1069 if (lower) for (i = 0; i < 3; ++i) low[i] = lower[i]; 1070 if (upper) for (i = 0; i < 3; ++i) upp[i] = upper[i]; 1071 if (periodicity) for (i = 0; i < 3; ++i) bdt[i] = periodicity[i]; 1072 for (i = 0; i < 3; ++i) if (bdt[i] != DM_BOUNDARY_NONE) SETERRQ(comm, PETSC_ERR_SUP, "Periodicity not yet supported"); 1073 1074 ierr = DMCreate(comm, &bdm);CHKERRQ(ierr); 1075 ierr = DMSetType(bdm, DMPLEX);CHKERRQ(ierr); 1076 ierr = DMSetDimension(bdm, 1);CHKERRQ(ierr); 1077 ierr = DMSetCoordinateDim(bdm, 2);CHKERRQ(ierr); 1078 ierr = DMPlexCreateSquareBoundary(bdm, low, upp, fac);CHKERRQ(ierr); 1079 ierr = DMPlexGenerate(bdm, NULL, PETSC_FALSE, &botdm);CHKERRQ(ierr); 1080 ierr = DMDestroy(&bdm);CHKERRQ(ierr); 1081 ierr = DMPlexExtrude(botdm, fac[2], upp[2] - low[2], ordExt, interpolate, dm);CHKERRQ(ierr); 1082 if (low[2] != 0.0) { 1083 Vec v; 1084 PetscScalar *x; 1085 PetscInt cDim, n; 1086 1087 ierr = DMGetCoordinatesLocal(*dm, &v);CHKERRQ(ierr); 1088 ierr = VecGetBlockSize(v, &cDim);CHKERRQ(ierr); 1089 ierr = VecGetLocalSize(v, &n);CHKERRQ(ierr); 1090 ierr = VecGetArray(v, &x);CHKERRQ(ierr); 1091 x += cDim; 1092 for (i=0; i<n; i+=cDim) x[i] += low[2]; 1093 ierr = VecRestoreArray(v,&x);CHKERRQ(ierr); 1094 ierr = DMSetCoordinatesLocal(*dm, v);CHKERRQ(ierr); 1095 } 1096 ierr = DMDestroy(&botdm);CHKERRQ(ierr); 1097 PetscFunctionReturn(0); 1098 } 1099 1100 /*@ 1101 DMPlexExtrude - Creates a (d+1)-D mesh by extruding a d-D mesh in the normal direction using prismatic cells. 1102 1103 Collective on idm 1104 1105 Input Parameters: 1106 + idm - The mesh to be extruted 1107 . layers - The number of layers 1108 . height - The height of the extruded layer 1109 . ordExt - If PETSC_TRUE, orders the extruded cells in the height first. Otherwise, orders the cell on the layers first 1110 - interpolate - Flag to create intermediate mesh pieces (edges, faces) 1111 1112 Output Parameter: 1113 . dm - The DM object 1114 1115 Notes: The object created is an hybrid mesh, the vertex ordering in the cone of the cell is that of the prismatic cells 1116 1117 Level: advanced 1118 1119 .keywords: DM, create 1120 .seealso: DMPlexCreateWedgeCylinderMesh(), DMPlexCreateWedgeBoxMesh(), DMPlexSetHybridBounds(), DMSetType(), DMCreate() 1121 @*/ 1122 PetscErrorCode DMPlexExtrude(DM idm, PetscInt layers, PetscReal height, PetscBool ordExt, PetscBool interpolate, DM* dm) 1123 { 1124 PetscScalar *coordsB; 1125 const PetscScalar *coordsA; 1126 PetscReal *normals = NULL; 1127 Vec coordinatesA, coordinatesB; 1128 PetscSection coordSectionA, coordSectionB; 1129 PetscInt dim, cDim, cDimB, c, l, v, coordSize, *newCone; 1130 PetscInt cStart, cEnd, vStart, vEnd, cellV, numCells, numVertices; 1131 PetscErrorCode ierr; 1132 1133 PetscFunctionBegin; 1134 PetscValidHeaderSpecific(idm, DM_CLASSID, 1); 1135 PetscValidLogicalCollectiveInt(idm, layers, 2); 1136 PetscValidLogicalCollectiveReal(idm, height, 3); 1137 PetscValidLogicalCollectiveBool(idm, interpolate, 4); 1138 ierr = DMGetDimension(idm, &dim);CHKERRQ(ierr); 1139 if (dim < 1 || dim > 3) SETERRQ1(PetscObjectComm((PetscObject)idm), PETSC_ERR_SUP, "Support for dimension %D not coded", dim); 1140 1141 ierr = DMPlexGetHeightStratum(idm, 0, &cStart, &cEnd);CHKERRQ(ierr); 1142 ierr = DMPlexGetDepthStratum(idm, 0, &vStart, &vEnd);CHKERRQ(ierr); 1143 numCells = (cEnd - cStart)*layers; 1144 numVertices = (vEnd - vStart)*(layers+1); 1145 ierr = DMCreate(PetscObjectComm((PetscObject)idm), dm);CHKERRQ(ierr); 1146 ierr = DMSetType(*dm, DMPLEX);CHKERRQ(ierr); 1147 ierr = DMSetDimension(*dm, dim+1);CHKERRQ(ierr); 1148 ierr = DMPlexSetChart(*dm, 0, numCells+numVertices);CHKERRQ(ierr); 1149 for (c = cStart, cellV = 0; c < cEnd; ++c) { 1150 PetscInt *closure = NULL; 1151 PetscInt closureSize, numCorners = 0; 1152 1153 ierr = DMPlexGetTransitiveClosure(idm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr); 1154 for (v = 0; v < closureSize*2; v += 2) if ((closure[v] >= vStart) && (closure[v] < vEnd)) numCorners++; 1155 ierr = DMPlexRestoreTransitiveClosure(idm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr); 1156 for (l = 0; l < layers; ++l) { 1157 ierr = DMPlexSetConeSize(*dm, ordExt ? layers*(c - cStart) + l : l*(cEnd - cStart) + c - cStart, 2*numCorners);CHKERRQ(ierr); 1158 } 1159 cellV = PetscMax(numCorners,cellV); 1160 } 1161 ierr = DMPlexSetHybridBounds(*dm, 0, PETSC_DETERMINE, PETSC_DETERMINE, PETSC_DETERMINE);CHKERRQ(ierr); 1162 ierr = DMSetUp(*dm);CHKERRQ(ierr); 1163 1164 ierr = DMGetCoordinateDim(idm, &cDim);CHKERRQ(ierr); 1165 if (dim != cDim) { 1166 ierr = PetscCalloc1(cDim*(vEnd - vStart), &normals);CHKERRQ(ierr); 1167 } 1168 ierr = PetscMalloc1(3*cellV,&newCone);CHKERRQ(ierr); 1169 for (c = cStart; c < cEnd; ++c) { 1170 PetscInt *closure = NULL; 1171 PetscInt closureSize, numCorners = 0, l; 1172 PetscReal normal[3] = {0, 0, 0}; 1173 1174 if (normals) { 1175 ierr = DMPlexComputeCellGeometryFVM(idm, c, NULL, NULL, normal);CHKERRQ(ierr); 1176 } 1177 ierr = DMPlexGetTransitiveClosure(idm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr); 1178 for (v = 0; v < closureSize*2; v += 2) { 1179 if ((closure[v] >= vStart) && (closure[v] < vEnd)) { 1180 PetscInt d; 1181 1182 newCone[numCorners++] = closure[v] - vStart; 1183 if (normals) { for (d = 0; d < cDim; ++d) normals[cDim*(closure[v]-vStart)+d] += normal[d]; } 1184 } 1185 } 1186 switch (numCorners) { 1187 case 4: /* do nothing */ 1188 case 2: /* do nothing */ 1189 break; 1190 case 3: /* from counter-clockwise to wedge ordering */ 1191 l = newCone[1]; 1192 newCone[1] = newCone[2]; 1193 newCone[2] = l; 1194 break; 1195 default: SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_SUP, "Unsupported number of corners: %D", numCorners); 1196 } 1197 ierr = DMPlexRestoreTransitiveClosure(idm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr); 1198 for (l = 0; l < layers; ++l) { 1199 PetscInt i; 1200 1201 for (i = 0; i < numCorners; ++i) { 1202 newCone[ numCorners + i] = ordExt ? (layers+1)*newCone[i] + l + numCells : l*(vEnd - vStart) + newCone[i] + numCells; 1203 newCone[2*numCorners + i] = ordExt ? (layers+1)*newCone[i] + l + 1 + numCells : (l+1)*(vEnd - vStart) + newCone[i] + numCells; 1204 } 1205 ierr = DMPlexSetCone(*dm, ordExt ? layers*(c - cStart) + l : l*(cEnd - cStart) + c - cStart, newCone + numCorners);CHKERRQ(ierr); 1206 } 1207 } 1208 ierr = DMPlexSymmetrize(*dm);CHKERRQ(ierr); 1209 ierr = DMPlexStratify(*dm);CHKERRQ(ierr); 1210 ierr = PetscFree(newCone);CHKERRQ(ierr); 1211 1212 cDimB = cDim == dim ? cDim+1 : cDim; 1213 ierr = DMGetCoordinateSection(*dm, &coordSectionB);CHKERRQ(ierr); 1214 ierr = PetscSectionSetNumFields(coordSectionB, 1);CHKERRQ(ierr); 1215 ierr = PetscSectionSetFieldComponents(coordSectionB, 0, cDimB);CHKERRQ(ierr); 1216 ierr = PetscSectionSetChart(coordSectionB, numCells, numCells+numVertices);CHKERRQ(ierr); 1217 for (v = numCells; v < numCells+numVertices; ++v) { 1218 ierr = PetscSectionSetDof(coordSectionB, v, cDimB);CHKERRQ(ierr); 1219 ierr = PetscSectionSetFieldDof(coordSectionB, v, 0, cDimB);CHKERRQ(ierr); 1220 } 1221 ierr = PetscSectionSetUp(coordSectionB);CHKERRQ(ierr); 1222 ierr = PetscSectionGetStorageSize(coordSectionB, &coordSize);CHKERRQ(ierr); 1223 ierr = VecCreate(PETSC_COMM_SELF, &coordinatesB);CHKERRQ(ierr); 1224 ierr = PetscObjectSetName((PetscObject) coordinatesB, "coordinates");CHKERRQ(ierr); 1225 ierr = VecSetSizes(coordinatesB, coordSize, PETSC_DETERMINE);CHKERRQ(ierr); 1226 ierr = VecSetBlockSize(coordinatesB, cDimB);CHKERRQ(ierr); 1227 ierr = VecSetType(coordinatesB,VECSTANDARD);CHKERRQ(ierr); 1228 1229 ierr = DMGetCoordinateSection(idm, &coordSectionA);CHKERRQ(ierr); 1230 ierr = DMGetCoordinatesLocal(idm, &coordinatesA);CHKERRQ(ierr); 1231 ierr = VecGetArray(coordinatesB, &coordsB);CHKERRQ(ierr); 1232 ierr = VecGetArrayRead(coordinatesA, &coordsA);CHKERRQ(ierr); 1233 for (v = vStart; v < vEnd; ++v) { 1234 const PetscScalar *cptr; 1235 PetscReal ones2[2] = { 0., 1.}, ones3[3] = { 0., 0., 1.}; 1236 PetscReal *normal, norm, h = height/layers; 1237 PetscInt offA, d, cDimA = cDim; 1238 1239 normal = normals ? normals + cDimB*(v - vStart) : (cDim > 1 ? ones3 : ones2); 1240 if (normals) { 1241 for (d = 0, norm = 0.0; d < cDimB; ++d) norm += normal[d]*normal[d]; 1242 for (d = 0; d < cDimB; ++d) normal[d] *= 1./PetscSqrtReal(norm); 1243 } 1244 1245 ierr = PetscSectionGetOffset(coordSectionA, v, &offA);CHKERRQ(ierr); 1246 cptr = coordsA + offA; 1247 for (l = 0; l < layers+1; ++l) { 1248 PetscInt offB, d, newV; 1249 1250 newV = ordExt ? (layers+1)*(v -vStart) + l + numCells : (vEnd -vStart)*l + (v -vStart) + numCells; 1251 ierr = PetscSectionGetOffset(coordSectionB, newV, &offB);CHKERRQ(ierr); 1252 for (d = 0; d < cDimA; ++d) { coordsB[offB+d] = cptr[d]; } 1253 for (d = 0; d < cDimB; ++d) { coordsB[offB+d] += l ? normal[d]*h : 0.0; } 1254 cptr = coordsB + offB; 1255 cDimA = cDimB; 1256 } 1257 } 1258 ierr = VecRestoreArrayRead(coordinatesA, &coordsA);CHKERRQ(ierr); 1259 ierr = VecRestoreArray(coordinatesB, &coordsB);CHKERRQ(ierr); 1260 ierr = DMSetCoordinatesLocal(*dm, coordinatesB);CHKERRQ(ierr); 1261 ierr = VecDestroy(&coordinatesB);CHKERRQ(ierr); 1262 ierr = PetscFree(normals);CHKERRQ(ierr); 1263 if (interpolate) { 1264 DM idm; 1265 1266 ierr = DMPlexInterpolate(*dm, &idm);CHKERRQ(ierr); 1267 ierr = DMPlexCopyCoordinates(*dm, idm);CHKERRQ(ierr); 1268 ierr = DMDestroy(dm);CHKERRQ(ierr); 1269 *dm = idm; 1270 } 1271 PetscFunctionReturn(0); 1272 } 1273 1274 /*@C 1275 DMPlexSetOptionsPrefix - Sets the prefix used for searching for all DM options in the database. 1276 1277 Logically Collective on DM 1278 1279 Input Parameters: 1280 + dm - the DM context 1281 - prefix - the prefix to prepend to all option names 1282 1283 Notes: 1284 A hyphen (-) must NOT be given at the beginning of the prefix name. 1285 The first character of all runtime options is AUTOMATICALLY the hyphen. 1286 1287 Level: advanced 1288 1289 .seealso: SNESSetFromOptions() 1290 @*/ 1291 PetscErrorCode DMPlexSetOptionsPrefix(DM dm, const char prefix[]) 1292 { 1293 DM_Plex *mesh = (DM_Plex *) dm->data; 1294 PetscErrorCode ierr; 1295 1296 PetscFunctionBegin; 1297 PetscValidHeaderSpecific(dm, DM_CLASSID, 1); 1298 ierr = PetscObjectSetOptionsPrefix((PetscObject) dm, prefix);CHKERRQ(ierr); 1299 ierr = PetscObjectSetOptionsPrefix((PetscObject) mesh->partitioner, prefix);CHKERRQ(ierr); 1300 PetscFunctionReturn(0); 1301 } 1302 1303 /*@ 1304 DMPlexCreateHexCylinderMesh - Creates a mesh on the tensor product of the unit interval with the circle (cylinder) using hexahedra. 1305 1306 Collective on MPI_Comm 1307 1308 Input Parameters: 1309 + comm - The communicator for the DM object 1310 . numRefine - The number of regular refinements to the basic 5 cell structure 1311 - periodicZ - The boundary type for the Z direction 1312 1313 Output Parameter: 1314 . dm - The DM object 1315 1316 Note: Here is the output numbering looking from the bottom of the cylinder: 1317 $ 17-----14 1318 $ | | 1319 $ | 2 | 1320 $ | | 1321 $ 17-----8-----7-----14 1322 $ | | | | 1323 $ | 3 | 0 | 1 | 1324 $ | | | | 1325 $ 19-----5-----6-----13 1326 $ | | 1327 $ | 4 | 1328 $ | | 1329 $ 19-----13 1330 $ 1331 $ and up through the top 1332 $ 1333 $ 18-----16 1334 $ | | 1335 $ | 2 | 1336 $ | | 1337 $ 18----10----11-----16 1338 $ | | | | 1339 $ | 3 | 0 | 1 | 1340 $ | | | | 1341 $ 20-----9----12-----15 1342 $ | | 1343 $ | 4 | 1344 $ | | 1345 $ 20-----15 1346 1347 Level: beginner 1348 1349 .keywords: DM, create 1350 .seealso: DMPlexCreateBoxMesh(), DMSetType(), DMCreate() 1351 @*/ 1352 PetscErrorCode DMPlexCreateHexCylinderMesh(MPI_Comm comm, PetscInt numRefine, DMBoundaryType periodicZ, DM *dm) 1353 { 1354 const PetscInt dim = 3; 1355 PetscInt numCells, numVertices, r; 1356 PetscMPIInt rank; 1357 PetscErrorCode ierr; 1358 1359 PetscFunctionBegin; 1360 PetscValidPointer(dm, 4); 1361 ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr); 1362 if (numRefine < 0) SETERRQ1(comm, PETSC_ERR_ARG_OUTOFRANGE, "Number of refinements %D cannot be negative", numRefine); 1363 ierr = DMCreate(comm, dm);CHKERRQ(ierr); 1364 ierr = DMSetType(*dm, DMPLEX);CHKERRQ(ierr); 1365 ierr = DMSetDimension(*dm, dim);CHKERRQ(ierr); 1366 /* Create topology */ 1367 { 1368 PetscInt cone[8], c; 1369 1370 numCells = !rank ? 5 : 0; 1371 numVertices = !rank ? 16 : 0; 1372 if (periodicZ == DM_BOUNDARY_PERIODIC) { 1373 numCells *= 3; 1374 numVertices = !rank ? 24 : 0; 1375 } 1376 ierr = DMPlexSetChart(*dm, 0, numCells+numVertices);CHKERRQ(ierr); 1377 for (c = 0; c < numCells; c++) {ierr = DMPlexSetConeSize(*dm, c, 8);CHKERRQ(ierr);} 1378 ierr = DMSetUp(*dm);CHKERRQ(ierr); 1379 if (!rank) { 1380 if (periodicZ == DM_BOUNDARY_PERIODIC) { 1381 cone[0] = 15; cone[1] = 18; cone[2] = 17; cone[3] = 16; 1382 cone[4] = 31; cone[5] = 32; cone[6] = 33; cone[7] = 34; 1383 ierr = DMPlexSetCone(*dm, 0, cone);CHKERRQ(ierr); 1384 cone[0] = 16; cone[1] = 17; cone[2] = 24; cone[3] = 23; 1385 cone[4] = 32; cone[5] = 36; cone[6] = 37; cone[7] = 33; /* 22 25 26 21 */ 1386 ierr = DMPlexSetCone(*dm, 1, cone);CHKERRQ(ierr); 1387 cone[0] = 18; cone[1] = 27; cone[2] = 24; cone[3] = 17; 1388 cone[4] = 34; cone[5] = 33; cone[6] = 37; cone[7] = 38; 1389 ierr = DMPlexSetCone(*dm, 2, cone);CHKERRQ(ierr); 1390 cone[0] = 29; cone[1] = 27; cone[2] = 18; cone[3] = 15; 1391 cone[4] = 35; cone[5] = 31; cone[6] = 34; cone[7] = 38; 1392 ierr = DMPlexSetCone(*dm, 3, cone);CHKERRQ(ierr); 1393 cone[0] = 29; cone[1] = 15; cone[2] = 16; cone[3] = 23; 1394 cone[4] = 35; cone[5] = 36; cone[6] = 32; cone[7] = 31; 1395 ierr = DMPlexSetCone(*dm, 4, cone);CHKERRQ(ierr); 1396 1397 cone[0] = 31; cone[1] = 34; cone[2] = 33; cone[3] = 32; 1398 cone[4] = 19; cone[5] = 22; cone[6] = 21; cone[7] = 20; 1399 ierr = DMPlexSetCone(*dm, 5, cone);CHKERRQ(ierr); 1400 cone[0] = 32; cone[1] = 33; cone[2] = 37; cone[3] = 36; 1401 cone[4] = 22; cone[5] = 25; cone[6] = 26; cone[7] = 21; 1402 ierr = DMPlexSetCone(*dm, 6, cone);CHKERRQ(ierr); 1403 cone[0] = 34; cone[1] = 38; cone[2] = 37; cone[3] = 33; 1404 cone[4] = 20; cone[5] = 21; cone[6] = 26; cone[7] = 28; 1405 ierr = DMPlexSetCone(*dm, 7, cone);CHKERRQ(ierr); 1406 cone[0] = 35; cone[1] = 38; cone[2] = 34; cone[3] = 31; 1407 cone[4] = 30; cone[5] = 19; cone[6] = 20; cone[7] = 28; 1408 ierr = DMPlexSetCone(*dm, 8, cone);CHKERRQ(ierr); 1409 cone[0] = 35; cone[1] = 31; cone[2] = 32; cone[3] = 36; 1410 cone[4] = 30; cone[5] = 25; cone[6] = 22; cone[7] = 19; 1411 ierr = DMPlexSetCone(*dm, 9, cone);CHKERRQ(ierr); 1412 1413 cone[0] = 19; cone[1] = 20; cone[2] = 21; cone[3] = 22; 1414 cone[4] = 15; cone[5] = 16; cone[6] = 17; cone[7] = 18; 1415 ierr = DMPlexSetCone(*dm, 10, cone);CHKERRQ(ierr); 1416 cone[0] = 22; cone[1] = 21; cone[2] = 26; cone[3] = 25; 1417 cone[4] = 16; cone[5] = 23; cone[6] = 24; cone[7] = 17; 1418 ierr = DMPlexSetCone(*dm, 11, cone);CHKERRQ(ierr); 1419 cone[0] = 20; cone[1] = 28; cone[2] = 26; cone[3] = 21; 1420 cone[4] = 18; cone[5] = 17; cone[6] = 24; cone[7] = 27; 1421 ierr = DMPlexSetCone(*dm, 12, cone);CHKERRQ(ierr); 1422 cone[0] = 30; cone[1] = 28; cone[2] = 20; cone[3] = 19; 1423 cone[4] = 29; cone[5] = 15; cone[6] = 18; cone[7] = 27; 1424 ierr = DMPlexSetCone(*dm, 13, cone);CHKERRQ(ierr); 1425 cone[0] = 30; cone[1] = 19; cone[2] = 22; cone[3] = 25; 1426 cone[4] = 29; cone[5] = 23; cone[6] = 16; cone[7] = 15; 1427 ierr = DMPlexSetCone(*dm, 14, cone);CHKERRQ(ierr); 1428 } else { 1429 cone[0] = 5; cone[1] = 8; cone[2] = 7; cone[3] = 6; 1430 cone[4] = 9; cone[5] = 12; cone[6] = 11; cone[7] = 10; 1431 ierr = DMPlexSetCone(*dm, 0, cone);CHKERRQ(ierr); 1432 cone[0] = 6; cone[1] = 7; cone[2] = 14; cone[3] = 13; 1433 cone[4] = 12; cone[5] = 15; cone[6] = 16; cone[7] = 11; 1434 ierr = DMPlexSetCone(*dm, 1, cone);CHKERRQ(ierr); 1435 cone[0] = 8; cone[1] = 17; cone[2] = 14; cone[3] = 7; 1436 cone[4] = 10; cone[5] = 11; cone[6] = 16; cone[7] = 18; 1437 ierr = DMPlexSetCone(*dm, 2, cone);CHKERRQ(ierr); 1438 cone[0] = 19; cone[1] = 17; cone[2] = 8; cone[3] = 5; 1439 cone[4] = 20; cone[5] = 9; cone[6] = 10; cone[7] = 18; 1440 ierr = DMPlexSetCone(*dm, 3, cone);CHKERRQ(ierr); 1441 cone[0] = 19; cone[1] = 5; cone[2] = 6; cone[3] = 13; 1442 cone[4] = 20; cone[5] = 15; cone[6] = 12; cone[7] = 9; 1443 ierr = DMPlexSetCone(*dm, 4, cone);CHKERRQ(ierr); 1444 } 1445 } 1446 ierr = DMPlexSymmetrize(*dm);CHKERRQ(ierr); 1447 ierr = DMPlexStratify(*dm);CHKERRQ(ierr); 1448 } 1449 /* Interpolate */ 1450 { 1451 DM idm; 1452 1453 ierr = DMPlexInterpolate(*dm, &idm);CHKERRQ(ierr); 1454 ierr = DMDestroy(dm);CHKERRQ(ierr); 1455 *dm = idm; 1456 } 1457 /* Create cube geometry */ 1458 { 1459 Vec coordinates; 1460 PetscSection coordSection; 1461 PetscScalar *coords; 1462 PetscInt coordSize, v; 1463 const PetscReal dis = 1.0/PetscSqrtReal(2.0); 1464 const PetscReal ds2 = dis/2.0; 1465 1466 /* Build coordinates */ 1467 ierr = DMGetCoordinateSection(*dm, &coordSection);CHKERRQ(ierr); 1468 ierr = PetscSectionSetNumFields(coordSection, 1);CHKERRQ(ierr); 1469 ierr = PetscSectionSetFieldComponents(coordSection, 0, dim);CHKERRQ(ierr); 1470 ierr = PetscSectionSetChart(coordSection, numCells, numCells+numVertices);CHKERRQ(ierr); 1471 for (v = numCells; v < numCells+numVertices; ++v) { 1472 ierr = PetscSectionSetDof(coordSection, v, dim);CHKERRQ(ierr); 1473 ierr = PetscSectionSetFieldDof(coordSection, v, 0, dim);CHKERRQ(ierr); 1474 } 1475 ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr); 1476 ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr); 1477 ierr = VecCreate(PETSC_COMM_SELF, &coordinates);CHKERRQ(ierr); 1478 ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr); 1479 ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr); 1480 ierr = VecSetBlockSize(coordinates, dim);CHKERRQ(ierr); 1481 ierr = VecSetType(coordinates,VECSTANDARD);CHKERRQ(ierr); 1482 ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr); 1483 if (!rank) { 1484 coords[0*dim+0] = -ds2; coords[0*dim+1] = -ds2; coords[0*dim+2] = 0.0; 1485 coords[1*dim+0] = ds2; coords[1*dim+1] = -ds2; coords[1*dim+2] = 0.0; 1486 coords[2*dim+0] = ds2; coords[2*dim+1] = ds2; coords[2*dim+2] = 0.0; 1487 coords[3*dim+0] = -ds2; coords[3*dim+1] = ds2; coords[3*dim+2] = 0.0; 1488 coords[4*dim+0] = -ds2; coords[4*dim+1] = -ds2; coords[4*dim+2] = 1.0; 1489 coords[5*dim+0] = -ds2; coords[5*dim+1] = ds2; coords[5*dim+2] = 1.0; 1490 coords[6*dim+0] = ds2; coords[6*dim+1] = ds2; coords[6*dim+2] = 1.0; 1491 coords[7*dim+0] = ds2; coords[7*dim+1] = -ds2; coords[7*dim+2] = 1.0; 1492 coords[ 8*dim+0] = dis; coords[ 8*dim+1] = -dis; coords[ 8*dim+2] = 0.0; 1493 coords[ 9*dim+0] = dis; coords[ 9*dim+1] = dis; coords[ 9*dim+2] = 0.0; 1494 coords[10*dim+0] = dis; coords[10*dim+1] = -dis; coords[10*dim+2] = 1.0; 1495 coords[11*dim+0] = dis; coords[11*dim+1] = dis; coords[11*dim+2] = 1.0; 1496 coords[12*dim+0] = -dis; coords[12*dim+1] = dis; coords[12*dim+2] = 0.0; 1497 coords[13*dim+0] = -dis; coords[13*dim+1] = dis; coords[13*dim+2] = 1.0; 1498 coords[14*dim+0] = -dis; coords[14*dim+1] = -dis; coords[14*dim+2] = 0.0; 1499 coords[15*dim+0] = -dis; coords[15*dim+1] = -dis; coords[15*dim+2] = 1.0; 1500 if (periodicZ == DM_BOUNDARY_PERIODIC) { 1501 /* 15 31 19 */ coords[16*dim+0] = -ds2; coords[16*dim+1] = -ds2; coords[16*dim+2] = 0.5; 1502 /* 16 32 22 */ coords[17*dim+0] = ds2; coords[17*dim+1] = -ds2; coords[17*dim+2] = 0.5; 1503 /* 17 33 21 */ coords[18*dim+0] = ds2; coords[18*dim+1] = ds2; coords[18*dim+2] = 0.5; 1504 /* 18 34 20 */ coords[19*dim+0] = -ds2; coords[19*dim+1] = ds2; coords[19*dim+2] = 0.5; 1505 /* 29 35 30 */ coords[20*dim+0] = -dis; coords[20*dim+1] = -dis; coords[20*dim+2] = 0.5; 1506 /* 23 36 25 */ coords[21*dim+0] = dis; coords[21*dim+1] = -dis; coords[21*dim+2] = 0.5; 1507 /* 24 37 26 */ coords[22*dim+0] = dis; coords[22*dim+1] = dis; coords[22*dim+2] = 0.5; 1508 /* 27 38 28 */ coords[23*dim+0] = -dis; coords[23*dim+1] = dis; coords[23*dim+2] = 0.5; 1509 } 1510 } 1511 ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr); 1512 ierr = DMSetCoordinatesLocal(*dm, coordinates);CHKERRQ(ierr); 1513 ierr = VecDestroy(&coordinates);CHKERRQ(ierr); 1514 } 1515 /* Create periodicity */ 1516 if (periodicZ == DM_BOUNDARY_PERIODIC || periodicZ == DM_BOUNDARY_TWIST) { 1517 PetscReal L[3]; 1518 PetscReal maxCell[3]; 1519 DMBoundaryType bdType[3]; 1520 PetscReal lower[3] = {0.0, 0.0, 0.0}; 1521 PetscReal upper[3] = {1.0, 1.0, 1.5}; 1522 PetscInt i, numZCells = 3; 1523 1524 bdType[0] = DM_BOUNDARY_NONE; 1525 bdType[1] = DM_BOUNDARY_NONE; 1526 bdType[2] = periodicZ; 1527 for (i = 0; i < dim; i++) { 1528 L[i] = upper[i] - lower[i]; 1529 maxCell[i] = 1.1 * (L[i] / numZCells); 1530 } 1531 ierr = DMSetPeriodicity(*dm, PETSC_TRUE, maxCell, L, bdType);CHKERRQ(ierr); 1532 } 1533 /* Refine topology */ 1534 for (r = 0; r < numRefine; ++r) { 1535 DM rdm = NULL; 1536 1537 ierr = DMRefine(*dm, comm, &rdm);CHKERRQ(ierr); 1538 ierr = DMDestroy(dm);CHKERRQ(ierr); 1539 *dm = rdm; 1540 } 1541 /* Remap geometry to cylinder 1542 Interior square: Linear interpolation is correct 1543 The other cells all have vertices on rays from the origin. We want to uniformly expand the spacing 1544 such that the last vertex is on the unit circle. So the closest and farthest vertices are at distance 1545 1546 phi = arctan(y/x) 1547 d_close = sqrt(1/8 + 1/4 sin^2(phi)) 1548 d_far = sqrt(1/2 + sin^2(phi)) 1549 1550 so we remap them using 1551 1552 x_new = x_close + (x - x_close) (1 - d_close) / (d_far - d_close) 1553 y_new = y_close + (y - y_close) (1 - d_close) / (d_far - d_close) 1554 1555 If pi/4 < phi < 3pi/4 or -3pi/4 < phi < -pi/4, then we switch x and y. 1556 */ 1557 { 1558 Vec coordinates; 1559 PetscSection coordSection; 1560 PetscScalar *coords; 1561 PetscInt vStart, vEnd, v; 1562 const PetscReal dis = 1.0/PetscSqrtReal(2.0); 1563 const PetscReal ds2 = 0.5*dis; 1564 1565 ierr = DMPlexGetDepthStratum(*dm, 0, &vStart, &vEnd);CHKERRQ(ierr); 1566 ierr = DMGetCoordinateSection(*dm, &coordSection);CHKERRQ(ierr); 1567 ierr = DMGetCoordinatesLocal(*dm, &coordinates);CHKERRQ(ierr); 1568 ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr); 1569 for (v = vStart; v < vEnd; ++v) { 1570 PetscReal phi, sinp, cosp, dc, df, x, y, xc, yc; 1571 PetscInt off; 1572 1573 ierr = PetscSectionGetOffset(coordSection, v, &off);CHKERRQ(ierr); 1574 if ((PetscAbsScalar(coords[off+0]) <= ds2) && (PetscAbsScalar(coords[off+1]) <= ds2)) continue; 1575 x = PetscRealPart(coords[off]); 1576 y = PetscRealPart(coords[off+1]); 1577 phi = PetscAtan2Real(y, x); 1578 sinp = PetscSinReal(phi); 1579 cosp = PetscCosReal(phi); 1580 if ((PetscAbsReal(phi) > PETSC_PI/4.0) && (PetscAbsReal(phi) < 3.0*PETSC_PI/4.0)) { 1581 dc = PetscAbsReal(ds2/sinp); 1582 df = PetscAbsReal(dis/sinp); 1583 xc = ds2*x/PetscAbsReal(y); 1584 yc = ds2*PetscSignReal(y); 1585 } else { 1586 dc = PetscAbsReal(ds2/cosp); 1587 df = PetscAbsReal(dis/cosp); 1588 xc = ds2*PetscSignReal(x); 1589 yc = ds2*y/PetscAbsReal(x); 1590 } 1591 coords[off+0] = xc + (coords[off+0] - xc)*(1.0 - dc)/(df - dc); 1592 coords[off+1] = yc + (coords[off+1] - yc)*(1.0 - dc)/(df - dc); 1593 } 1594 ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr); 1595 if (periodicZ == DM_BOUNDARY_PERIODIC || periodicZ == DM_BOUNDARY_TWIST) { 1596 ierr = DMLocalizeCoordinates(*dm);CHKERRQ(ierr); 1597 } 1598 } 1599 PetscFunctionReturn(0); 1600 } 1601 1602 /*@ 1603 DMPlexCreateWedgeCylinderMesh - Creates a mesh on the tensor product of the unit interval with the circle (cylinder) using wedges. 1604 1605 Collective on MPI_Comm 1606 1607 Input Parameters: 1608 + comm - The communicator for the DM object 1609 . n - The number of wedges around the origin 1610 - interpolate - Create edges and faces 1611 1612 Output Parameter: 1613 . dm - The DM object 1614 1615 Level: beginner 1616 1617 .keywords: DM, create 1618 .seealso: DMPlexCreateHexCylinderMesh(), DMPlexCreateBoxMesh(), DMSetType(), DMCreate() 1619 @*/ 1620 PetscErrorCode DMPlexCreateWedgeCylinderMesh(MPI_Comm comm, PetscInt n, PetscBool interpolate, DM *dm) 1621 { 1622 const PetscInt dim = 3; 1623 PetscInt numCells, numVertices; 1624 PetscMPIInt rank; 1625 PetscErrorCode ierr; 1626 1627 PetscFunctionBegin; 1628 PetscValidPointer(dm, 3); 1629 ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr); 1630 if (n < 0) SETERRQ1(comm, PETSC_ERR_ARG_OUTOFRANGE, "Number of wedges %D cannot be negative", n); 1631 ierr = DMCreate(comm, dm);CHKERRQ(ierr); 1632 ierr = DMSetType(*dm, DMPLEX);CHKERRQ(ierr); 1633 ierr = DMSetDimension(*dm, dim);CHKERRQ(ierr); 1634 /* Create topology */ 1635 { 1636 PetscInt cone[6], c; 1637 1638 numCells = !rank ? n : 0; 1639 numVertices = !rank ? 2*(n+1) : 0; 1640 ierr = DMPlexSetChart(*dm, 0, numCells+numVertices);CHKERRQ(ierr); 1641 ierr = DMPlexSetHybridBounds(*dm, 0, PETSC_DETERMINE, PETSC_DETERMINE, PETSC_DETERMINE);CHKERRQ(ierr); 1642 for (c = 0; c < numCells; c++) {ierr = DMPlexSetConeSize(*dm, c, 6);CHKERRQ(ierr);} 1643 ierr = DMSetUp(*dm);CHKERRQ(ierr); 1644 for (c = 0; c < numCells; c++) { 1645 cone[0] = c+n*1; cone[1] = (c+1)%n+n*1; cone[2] = 0+3*n; 1646 cone[3] = c+n*2; cone[4] = (c+1)%n+n*2; cone[5] = 1+3*n; 1647 ierr = DMPlexSetCone(*dm, c, cone);CHKERRQ(ierr); 1648 } 1649 ierr = DMPlexSymmetrize(*dm);CHKERRQ(ierr); 1650 ierr = DMPlexStratify(*dm);CHKERRQ(ierr); 1651 } 1652 /* Interpolate */ 1653 if (interpolate) { 1654 DM idm; 1655 1656 ierr = DMPlexInterpolate(*dm, &idm);CHKERRQ(ierr); 1657 ierr = DMDestroy(dm);CHKERRQ(ierr); 1658 *dm = idm; 1659 } 1660 /* Create cylinder geometry */ 1661 { 1662 Vec coordinates; 1663 PetscSection coordSection; 1664 PetscScalar *coords; 1665 PetscInt coordSize, v, c; 1666 1667 /* Build coordinates */ 1668 ierr = DMGetCoordinateSection(*dm, &coordSection);CHKERRQ(ierr); 1669 ierr = PetscSectionSetNumFields(coordSection, 1);CHKERRQ(ierr); 1670 ierr = PetscSectionSetFieldComponents(coordSection, 0, dim);CHKERRQ(ierr); 1671 ierr = PetscSectionSetChart(coordSection, numCells, numCells+numVertices);CHKERRQ(ierr); 1672 for (v = numCells; v < numCells+numVertices; ++v) { 1673 ierr = PetscSectionSetDof(coordSection, v, dim);CHKERRQ(ierr); 1674 ierr = PetscSectionSetFieldDof(coordSection, v, 0, dim);CHKERRQ(ierr); 1675 } 1676 ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr); 1677 ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr); 1678 ierr = VecCreate(PETSC_COMM_SELF, &coordinates);CHKERRQ(ierr); 1679 ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr); 1680 ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr); 1681 ierr = VecSetBlockSize(coordinates, dim);CHKERRQ(ierr); 1682 ierr = VecSetType(coordinates,VECSTANDARD);CHKERRQ(ierr); 1683 ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr); 1684 for (c = 0; c < numCells; c++) { 1685 coords[(c+0*n)*dim+0] = PetscCosReal(2.0*c*PETSC_PI/n); coords[(c+0*n)*dim+1] = PetscSinReal(2.0*c*PETSC_PI/n); coords[(c+0*n)*dim+2] = 1.0; 1686 coords[(c+1*n)*dim+0] = PetscCosReal(2.0*c*PETSC_PI/n); coords[(c+1*n)*dim+1] = PetscSinReal(2.0*c*PETSC_PI/n); coords[(c+1*n)*dim+2] = 0.0; 1687 } 1688 if (!rank) { 1689 coords[(2*n+0)*dim+0] = 0.0; coords[(2*n+0)*dim+1] = 0.0; coords[(2*n+0)*dim+2] = 1.0; 1690 coords[(2*n+1)*dim+0] = 0.0; coords[(2*n+1)*dim+1] = 0.0; coords[(2*n+1)*dim+2] = 0.0; 1691 } 1692 ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr); 1693 ierr = DMSetCoordinatesLocal(*dm, coordinates);CHKERRQ(ierr); 1694 ierr = VecDestroy(&coordinates);CHKERRQ(ierr); 1695 } 1696 PetscFunctionReturn(0); 1697 } 1698 1699 PETSC_STATIC_INLINE PetscReal DiffNormReal(PetscInt dim, const PetscReal x[], const PetscReal y[]) 1700 { 1701 PetscReal prod = 0.0; 1702 PetscInt i; 1703 for (i = 0; i < dim; ++i) prod += PetscSqr(x[i] - y[i]); 1704 return PetscSqrtReal(prod); 1705 } 1706 PETSC_STATIC_INLINE PetscReal DotReal(PetscInt dim, const PetscReal x[], const PetscReal y[]) 1707 { 1708 PetscReal prod = 0.0; 1709 PetscInt i; 1710 for (i = 0; i < dim; ++i) prod += x[i]*y[i]; 1711 return prod; 1712 } 1713 1714 /*@ 1715 DMPlexCreateSphereMesh - Creates a mesh on the d-dimensional sphere, S^d. 1716 1717 Collective on MPI_Comm 1718 1719 Input Parameters: 1720 . comm - The communicator for the DM object 1721 . dim - The dimension 1722 - simplex - Use simplices, or tensor product cells 1723 1724 Output Parameter: 1725 . dm - The DM object 1726 1727 Level: beginner 1728 1729 .keywords: DM, create 1730 .seealso: DMPlexCreateBoxMesh(), DMSetType(), DMCreate() 1731 @*/ 1732 PetscErrorCode DMPlexCreateSphereMesh(MPI_Comm comm, PetscInt dim, PetscBool simplex, DM *dm) 1733 { 1734 const PetscInt embedDim = dim+1; 1735 PetscSection coordSection; 1736 Vec coordinates; 1737 PetscScalar *coords; 1738 PetscReal *coordsIn; 1739 PetscInt numCells, numEdges, numVerts, firstVertex, v, firstEdge, coordSize, d, c, e; 1740 PetscMPIInt rank; 1741 PetscErrorCode ierr; 1742 1743 PetscFunctionBegin; 1744 PetscValidPointer(dm, 4); 1745 ierr = DMCreate(comm, dm);CHKERRQ(ierr); 1746 ierr = DMSetType(*dm, DMPLEX);CHKERRQ(ierr); 1747 ierr = DMSetDimension(*dm, dim);CHKERRQ(ierr); 1748 ierr = DMSetCoordinateDim(*dm, dim+1);CHKERRQ(ierr); 1749 ierr = MPI_Comm_rank(PetscObjectComm((PetscObject) *dm), &rank);CHKERRQ(ierr); 1750 switch (dim) { 1751 case 2: 1752 if (simplex) { 1753 DM idm; 1754 const PetscReal edgeLen = 2.0/(1.0 + PETSC_PHI); 1755 const PetscReal vertex[3] = {0.0, 1.0/(1.0 + PETSC_PHI), PETSC_PHI/(1.0 + PETSC_PHI)}; 1756 const PetscInt degree = 5; 1757 PetscInt s[3] = {1, 1, 1}; 1758 PetscInt cone[3]; 1759 PetscInt *graph, p, i, j, k; 1760 1761 numCells = !rank ? 20 : 0; 1762 numVerts = !rank ? 12 : 0; 1763 firstVertex = numCells; 1764 /* Use icosahedron, which for a unit sphere has coordinates which are all cyclic permutations of 1765 1766 (0, \pm 1/\phi+1, \pm \phi/\phi+1) 1767 1768 where \phi^2 - \phi - 1 = 0, meaning \phi is the golden ratio \frac{1 + \sqrt{5}}{2}. The edge 1769 length is then given by 2/\phi = 2 * 2.73606 = 5.47214. 1770 */ 1771 /* Construct vertices */ 1772 ierr = PetscCalloc1(numVerts * embedDim, &coordsIn);CHKERRQ(ierr); 1773 for (p = 0, i = 0; p < embedDim; ++p) { 1774 for (s[1] = -1; s[1] < 2; s[1] += 2) { 1775 for (s[2] = -1; s[2] < 2; s[2] += 2) { 1776 for (d = 0; d < embedDim; ++d) coordsIn[i*embedDim+d] = s[(d+p)%embedDim]*vertex[(d+p)%embedDim]; 1777 ++i; 1778 } 1779 } 1780 } 1781 /* Construct graph */ 1782 ierr = PetscCalloc1(numVerts * numVerts, &graph);CHKERRQ(ierr); 1783 for (i = 0; i < numVerts; ++i) { 1784 for (j = 0, k = 0; j < numVerts; ++j) { 1785 if (PetscAbsReal(DiffNormReal(embedDim, &coordsIn[i*embedDim], &coordsIn[j*embedDim]) - edgeLen) < PETSC_SMALL) {graph[i*numVerts+j] = 1; ++k;} 1786 } 1787 if (k != degree) SETERRQ3(comm, PETSC_ERR_PLIB, "Invalid icosahedron, vertex %D degree %D != %D", i, k, degree); 1788 } 1789 /* Build Topology */ 1790 ierr = DMPlexSetChart(*dm, 0, numCells+numVerts);CHKERRQ(ierr); 1791 for (c = 0; c < numCells; c++) { 1792 ierr = DMPlexSetConeSize(*dm, c, embedDim);CHKERRQ(ierr); 1793 } 1794 ierr = DMSetUp(*dm);CHKERRQ(ierr); /* Allocate space for cones */ 1795 /* Cells */ 1796 for (i = 0, c = 0; i < numVerts; ++i) { 1797 for (j = 0; j < i; ++j) { 1798 for (k = 0; k < j; ++k) { 1799 if (graph[i*numVerts+j] && graph[j*numVerts+k] && graph[k*numVerts+i]) { 1800 cone[0] = firstVertex+i; cone[1] = firstVertex+j; cone[2] = firstVertex+k; 1801 /* Check orientation */ 1802 { 1803 const PetscInt epsilon[3][3][3] = {{{0, 0, 0}, {0, 0, 1}, {0, -1, 0}}, {{0, 0, -1}, {0, 0, 0}, {1, 0, 0}}, {{0, 1, 0}, {-1, 0, 0}, {0, 0, 0}}}; 1804 PetscReal normal[3]; 1805 PetscInt e, f; 1806 1807 for (d = 0; d < embedDim; ++d) { 1808 normal[d] = 0.0; 1809 for (e = 0; e < embedDim; ++e) { 1810 for (f = 0; f < embedDim; ++f) { 1811 normal[d] += epsilon[d][e][f]*(coordsIn[j*embedDim+e] - coordsIn[i*embedDim+e])*(coordsIn[k*embedDim+f] - coordsIn[i*embedDim+f]); 1812 } 1813 } 1814 } 1815 if (DotReal(embedDim, normal, &coordsIn[i*embedDim]) < 0) {PetscInt tmp = cone[1]; cone[1] = cone[2]; cone[2] = tmp;} 1816 } 1817 ierr = DMPlexSetCone(*dm, c++, cone);CHKERRQ(ierr); 1818 } 1819 } 1820 } 1821 } 1822 ierr = DMPlexSymmetrize(*dm);CHKERRQ(ierr); 1823 ierr = DMPlexStratify(*dm);CHKERRQ(ierr); 1824 ierr = PetscFree(graph);CHKERRQ(ierr); 1825 /* Interpolate mesh */ 1826 ierr = DMPlexInterpolate(*dm, &idm);CHKERRQ(ierr); 1827 ierr = DMDestroy(dm);CHKERRQ(ierr); 1828 *dm = idm; 1829 } else { 1830 /* 1831 12-21--13 1832 | | 1833 25 4 24 1834 | | 1835 12-25--9-16--8-24--13 1836 | | | | 1837 23 5 17 0 15 3 22 1838 | | | | 1839 10-20--6-14--7-19--11 1840 | | 1841 20 1 19 1842 | | 1843 10-18--11 1844 | | 1845 23 2 22 1846 | | 1847 12-21--13 1848 */ 1849 const PetscReal dist = 1.0/PetscSqrtReal(3.0); 1850 PetscInt cone[4], ornt[4]; 1851 1852 numCells = !rank ? 6 : 0; 1853 numEdges = !rank ? 12 : 0; 1854 numVerts = !rank ? 8 : 0; 1855 firstVertex = numCells; 1856 firstEdge = numCells + numVerts; 1857 /* Build Topology */ 1858 ierr = DMPlexSetChart(*dm, 0, numCells+numEdges+numVerts);CHKERRQ(ierr); 1859 for (c = 0; c < numCells; c++) { 1860 ierr = DMPlexSetConeSize(*dm, c, 4);CHKERRQ(ierr); 1861 } 1862 for (e = firstEdge; e < firstEdge+numEdges; ++e) { 1863 ierr = DMPlexSetConeSize(*dm, e, 2);CHKERRQ(ierr); 1864 } 1865 ierr = DMSetUp(*dm);CHKERRQ(ierr); /* Allocate space for cones */ 1866 /* Cell 0 */ 1867 cone[0] = 14; cone[1] = 15; cone[2] = 16; cone[3] = 17; 1868 ierr = DMPlexSetCone(*dm, 0, cone);CHKERRQ(ierr); 1869 ornt[0] = 0; ornt[1] = 0; ornt[2] = 0; ornt[3] = 0; 1870 ierr = DMPlexSetConeOrientation(*dm, 0, ornt);CHKERRQ(ierr); 1871 /* Cell 1 */ 1872 cone[0] = 18; cone[1] = 19; cone[2] = 14; cone[3] = 20; 1873 ierr = DMPlexSetCone(*dm, 1, cone);CHKERRQ(ierr); 1874 ornt[0] = 0; ornt[1] = 0; ornt[2] = -2; ornt[3] = 0; 1875 ierr = DMPlexSetConeOrientation(*dm, 1, ornt);CHKERRQ(ierr); 1876 /* Cell 2 */ 1877 cone[0] = 21; cone[1] = 22; cone[2] = 18; cone[3] = 23; 1878 ierr = DMPlexSetCone(*dm, 2, cone);CHKERRQ(ierr); 1879 ornt[0] = 0; ornt[1] = 0; ornt[2] = -2; ornt[3] = 0; 1880 ierr = DMPlexSetConeOrientation(*dm, 2, ornt);CHKERRQ(ierr); 1881 /* Cell 3 */ 1882 cone[0] = 19; cone[1] = 22; cone[2] = 24; cone[3] = 15; 1883 ierr = DMPlexSetCone(*dm, 3, cone);CHKERRQ(ierr); 1884 ornt[0] = -2; ornt[1] = -2; ornt[2] = 0; ornt[3] = -2; 1885 ierr = DMPlexSetConeOrientation(*dm, 3, ornt);CHKERRQ(ierr); 1886 /* Cell 4 */ 1887 cone[0] = 16; cone[1] = 24; cone[2] = 21; cone[3] = 25; 1888 ierr = DMPlexSetCone(*dm, 4, cone);CHKERRQ(ierr); 1889 ornt[0] = -2; ornt[1] = -2; ornt[2] = -2; ornt[3] = 0; 1890 ierr = DMPlexSetConeOrientation(*dm, 4, ornt);CHKERRQ(ierr); 1891 /* Cell 5 */ 1892 cone[0] = 20; cone[1] = 17; cone[2] = 25; cone[3] = 23; 1893 ierr = DMPlexSetCone(*dm, 5, cone);CHKERRQ(ierr); 1894 ornt[0] = -2; ornt[1] = -2; ornt[2] = -2; ornt[3] = -2; 1895 ierr = DMPlexSetConeOrientation(*dm, 5, ornt);CHKERRQ(ierr); 1896 /* Edges */ 1897 cone[0] = 6; cone[1] = 7; 1898 ierr = DMPlexSetCone(*dm, 14, cone);CHKERRQ(ierr); 1899 cone[0] = 7; cone[1] = 8; 1900 ierr = DMPlexSetCone(*dm, 15, cone);CHKERRQ(ierr); 1901 cone[0] = 8; cone[1] = 9; 1902 ierr = DMPlexSetCone(*dm, 16, cone);CHKERRQ(ierr); 1903 cone[0] = 9; cone[1] = 6; 1904 ierr = DMPlexSetCone(*dm, 17, cone);CHKERRQ(ierr); 1905 cone[0] = 10; cone[1] = 11; 1906 ierr = DMPlexSetCone(*dm, 18, cone);CHKERRQ(ierr); 1907 cone[0] = 11; cone[1] = 7; 1908 ierr = DMPlexSetCone(*dm, 19, cone);CHKERRQ(ierr); 1909 cone[0] = 6; cone[1] = 10; 1910 ierr = DMPlexSetCone(*dm, 20, cone);CHKERRQ(ierr); 1911 cone[0] = 12; cone[1] = 13; 1912 ierr = DMPlexSetCone(*dm, 21, cone);CHKERRQ(ierr); 1913 cone[0] = 13; cone[1] = 11; 1914 ierr = DMPlexSetCone(*dm, 22, cone);CHKERRQ(ierr); 1915 cone[0] = 10; cone[1] = 12; 1916 ierr = DMPlexSetCone(*dm, 23, cone);CHKERRQ(ierr); 1917 cone[0] = 13; cone[1] = 8; 1918 ierr = DMPlexSetCone(*dm, 24, cone);CHKERRQ(ierr); 1919 cone[0] = 12; cone[1] = 9; 1920 ierr = DMPlexSetCone(*dm, 25, cone);CHKERRQ(ierr); 1921 ierr = DMPlexSymmetrize(*dm);CHKERRQ(ierr); 1922 ierr = DMPlexStratify(*dm);CHKERRQ(ierr); 1923 /* Build coordinates */ 1924 ierr = PetscCalloc1(numVerts * embedDim, &coordsIn);CHKERRQ(ierr); 1925 coordsIn[0*embedDim+0] = -dist; coordsIn[0*embedDim+1] = dist; coordsIn[0*embedDim+2] = -dist; 1926 coordsIn[1*embedDim+0] = dist; coordsIn[1*embedDim+1] = dist; coordsIn[1*embedDim+2] = -dist; 1927 coordsIn[2*embedDim+0] = dist; coordsIn[2*embedDim+1] = -dist; coordsIn[2*embedDim+2] = -dist; 1928 coordsIn[3*embedDim+0] = -dist; coordsIn[3*embedDim+1] = -dist; coordsIn[3*embedDim+2] = -dist; 1929 coordsIn[4*embedDim+0] = -dist; coordsIn[4*embedDim+1] = dist; coordsIn[4*embedDim+2] = dist; 1930 coordsIn[5*embedDim+0] = dist; coordsIn[5*embedDim+1] = dist; coordsIn[5*embedDim+2] = dist; 1931 coordsIn[6*embedDim+0] = -dist; coordsIn[6*embedDim+1] = -dist; coordsIn[6*embedDim+2] = dist; 1932 coordsIn[7*embedDim+0] = dist; coordsIn[7*embedDim+1] = -dist; coordsIn[7*embedDim+2] = dist; 1933 } 1934 break; 1935 case 3: 1936 if (simplex) { 1937 DM idm; 1938 const PetscReal edgeLen = 1.0/PETSC_PHI; 1939 const PetscReal vertexA[4] = {0.5, 0.5, 0.5, 0.5}; 1940 const PetscReal vertexB[4] = {1.0, 0.0, 0.0, 0.0}; 1941 const PetscReal vertexC[4] = {0.5, 0.5*PETSC_PHI, 0.5/PETSC_PHI, 0.0}; 1942 const PetscInt degree = 12; 1943 PetscInt s[4] = {1, 1, 1}; 1944 PetscInt evenPerm[12][4] = {{0, 1, 2, 3}, {0, 2, 3, 1}, {0, 3, 1, 2}, {1, 0, 3, 2}, {1, 2, 0, 3}, {1, 3, 2, 0}, 1945 {2, 0, 1, 3}, {2, 1, 3, 0}, {2, 3, 0, 1}, {3, 0, 2, 1}, {3, 1, 0, 2}, {3, 2, 1, 0}}; 1946 PetscInt cone[4]; 1947 PetscInt *graph, p, i, j, k, l; 1948 1949 numCells = !rank ? 600 : 0; 1950 numVerts = !rank ? 120 : 0; 1951 firstVertex = numCells; 1952 /* Use the 600-cell, which for a unit sphere has coordinates which are 1953 1954 1/2 (\pm 1, \pm 1, \pm 1, \pm 1) 16 1955 (\pm 1, 0, 0, 0) all cyclic permutations 8 1956 1/2 (\pm 1, \pm phi, \pm 1/phi, 0) all even permutations 96 1957 1958 where \phi^2 - \phi - 1 = 0, meaning \phi is the golden ratio \frac{1 + \sqrt{5}}{2}. The edge 1959 length is then given by 1/\phi = 2.73606. 1960 1961 http://buzzard.pugetsound.edu/sage-practice/ch03s03.html 1962 http://mathworld.wolfram.com/600-Cell.html 1963 */ 1964 /* Construct vertices */ 1965 ierr = PetscCalloc1(numVerts * embedDim, &coordsIn);CHKERRQ(ierr); 1966 i = 0; 1967 for (s[0] = -1; s[0] < 2; s[0] += 2) { 1968 for (s[1] = -1; s[1] < 2; s[1] += 2) { 1969 for (s[2] = -1; s[2] < 2; s[2] += 2) { 1970 for (s[3] = -1; s[3] < 2; s[3] += 2) { 1971 for (d = 0; d < embedDim; ++d) coordsIn[i*embedDim+d] = s[d]*vertexA[d]; 1972 ++i; 1973 } 1974 } 1975 } 1976 } 1977 for (p = 0; p < embedDim; ++p) { 1978 s[1] = s[2] = s[3] = 1; 1979 for (s[0] = -1; s[0] < 2; s[0] += 2) { 1980 for (d = 0; d < embedDim; ++d) coordsIn[i*embedDim+d] = s[(d+p)%embedDim]*vertexB[(d+p)%embedDim]; 1981 ++i; 1982 } 1983 } 1984 for (p = 0; p < 12; ++p) { 1985 s[3] = 1; 1986 for (s[0] = -1; s[0] < 2; s[0] += 2) { 1987 for (s[1] = -1; s[1] < 2; s[1] += 2) { 1988 for (s[2] = -1; s[2] < 2; s[2] += 2) { 1989 for (d = 0; d < embedDim; ++d) coordsIn[i*embedDim+d] = s[evenPerm[p][d]]*vertexC[evenPerm[p][d]]; 1990 ++i; 1991 } 1992 } 1993 } 1994 } 1995 if (i != numVerts) SETERRQ2(comm, PETSC_ERR_PLIB, "Invalid 600-cell, vertices %D != %D", i, numVerts); 1996 /* Construct graph */ 1997 ierr = PetscCalloc1(numVerts * numVerts, &graph);CHKERRQ(ierr); 1998 for (i = 0; i < numVerts; ++i) { 1999 for (j = 0, k = 0; j < numVerts; ++j) { 2000 if (PetscAbsReal(DiffNormReal(embedDim, &coordsIn[i*embedDim], &coordsIn[j*embedDim]) - edgeLen) < PETSC_SMALL) {graph[i*numVerts+j] = 1; ++k;} 2001 } 2002 if (k != degree) SETERRQ3(comm, PETSC_ERR_PLIB, "Invalid 600-cell, vertex %D degree %D != %D", i, k, degree); 2003 } 2004 /* Build Topology */ 2005 ierr = DMPlexSetChart(*dm, 0, numCells+numVerts);CHKERRQ(ierr); 2006 for (c = 0; c < numCells; c++) { 2007 ierr = DMPlexSetConeSize(*dm, c, embedDim);CHKERRQ(ierr); 2008 } 2009 ierr = DMSetUp(*dm);CHKERRQ(ierr); /* Allocate space for cones */ 2010 /* Cells */ 2011 for (i = 0, c = 0; i < numVerts; ++i) { 2012 for (j = 0; j < i; ++j) { 2013 for (k = 0; k < j; ++k) { 2014 for (l = 0; l < k; ++l) { 2015 if (graph[i*numVerts+j] && graph[j*numVerts+k] && graph[k*numVerts+i] && 2016 graph[l*numVerts+i] && graph[l*numVerts+j] && graph[l*numVerts+k]) { 2017 cone[0] = firstVertex+i; cone[1] = firstVertex+j; cone[2] = firstVertex+k; cone[3] = firstVertex+l; 2018 /* Check orientation: https://ef.gy/linear-algebra:normal-vectors-in-higher-dimensional-spaces */ 2019 { 2020 const PetscInt epsilon[4][4][4][4] = {{{{0, 0, 0, 0}, { 0, 0, 0, 0}, { 0, 0, 0, 0}, { 0, 0, 0, 0}}, 2021 {{0, 0, 0, 0}, { 0, 0, 0, 0}, { 0, 0, 0, 1}, { 0, 0, -1, 0}}, 2022 {{0, 0, 0, 0}, { 0, 0, 0, -1}, { 0, 0, 0, 0}, { 0, 1, 0, 0}}, 2023 {{0, 0, 0, 0}, { 0, 0, 1, 0}, { 0, -1, 0, 0}, { 0, 0, 0, 0}}}, 2024 2025 {{{0, 0, 0, 0}, { 0, 0, 0, 0}, { 0, 0, 0, -1}, { 0, 0, 1, 0}}, 2026 {{0, 0, 0, 0}, { 0, 0, 0, 0}, { 0, 0, 0, 0}, { 0, 0, 0, 0}}, 2027 {{0, 0, 0, 1}, { 0, 0, 0, 0}, { 0, 0, 0, 0}, {-1, 0, 0, 0}}, 2028 {{0, 0, -1, 0}, { 0, 0, 0, 0}, { 1, 0, 0, 0}, { 0, 0, 0, 0}}}, 2029 2030 {{{0, 0, 0, 0}, { 0, 0, 0, 1}, { 0, 0, 0, 0}, { 0, -1, 0, 0}}, 2031 {{0, 0, 0, -1}, { 0, 0, 0, 0}, { 0, 0, 0, 0}, { 1, 0, 0, 0}}, 2032 {{0, 0, 0, 0}, { 0, 0, 0, 0}, { 0, 0, 0, 0}, { 0, 0, 0, 0}}, 2033 {{0, 1, 0, 0}, {-1, 0, 0, 0}, { 0, 0, 0, 0}, { 0, 0, 0, 0}}}, 2034 2035 {{{0, 0, 0, 0}, { 0, 0, -1, 0}, { 0, 1, 0, 0}, { 0, 0, 0, 0}}, 2036 {{0, 0, 1, 0}, { 0, 0, 0, 0}, {-1, 0, 0, 0}, { 0, 0, 0, 0}}, 2037 {{0, -1, 0, 0}, { 1, 0, 0, 0}, { 0, 0, 0, 0}, { 0, 0, 0, 0}}, 2038 {{0, 0, 0, 0}, { 0, 0, 0, 0}, { 0, 0, 0, 0}, { 0, 0, 0, 0}}}}; 2039 PetscReal normal[4]; 2040 PetscInt e, f, g; 2041 2042 for (d = 0; d < embedDim; ++d) { 2043 normal[d] = 0.0; 2044 for (e = 0; e < embedDim; ++e) { 2045 for (f = 0; f < embedDim; ++f) { 2046 for (g = 0; g < embedDim; ++g) { 2047 normal[d] += epsilon[d][e][f][g]*(coordsIn[j*embedDim+e] - coordsIn[i*embedDim+e])*(coordsIn[k*embedDim+f] - coordsIn[i*embedDim+f])*(coordsIn[l*embedDim+f] - coordsIn[i*embedDim+f]); 2048 } 2049 } 2050 } 2051 } 2052 if (DotReal(embedDim, normal, &coordsIn[i*embedDim]) < 0) {PetscInt tmp = cone[1]; cone[1] = cone[2]; cone[2] = tmp;} 2053 } 2054 ierr = DMPlexSetCone(*dm, c++, cone);CHKERRQ(ierr); 2055 } 2056 } 2057 } 2058 } 2059 } 2060 ierr = DMPlexSymmetrize(*dm);CHKERRQ(ierr); 2061 ierr = DMPlexStratify(*dm);CHKERRQ(ierr); 2062 ierr = PetscFree(graph);CHKERRQ(ierr); 2063 /* Interpolate mesh */ 2064 ierr = DMPlexInterpolate(*dm, &idm);CHKERRQ(ierr); 2065 ierr = DMDestroy(dm);CHKERRQ(ierr); 2066 *dm = idm; 2067 break; 2068 } 2069 default: SETERRQ1(comm, PETSC_ERR_SUP, "Unsupported dimension for sphere: %D", dim); 2070 } 2071 /* Create coordinates */ 2072 ierr = DMGetCoordinateSection(*dm, &coordSection);CHKERRQ(ierr); 2073 ierr = PetscSectionSetNumFields(coordSection, 1);CHKERRQ(ierr); 2074 ierr = PetscSectionSetFieldComponents(coordSection, 0, embedDim);CHKERRQ(ierr); 2075 ierr = PetscSectionSetChart(coordSection, firstVertex, firstVertex+numVerts);CHKERRQ(ierr); 2076 for (v = firstVertex; v < firstVertex+numVerts; ++v) { 2077 ierr = PetscSectionSetDof(coordSection, v, embedDim);CHKERRQ(ierr); 2078 ierr = PetscSectionSetFieldDof(coordSection, v, 0, embedDim);CHKERRQ(ierr); 2079 } 2080 ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr); 2081 ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr); 2082 ierr = VecCreate(PETSC_COMM_SELF, &coordinates);CHKERRQ(ierr); 2083 ierr = VecSetBlockSize(coordinates, embedDim);CHKERRQ(ierr); 2084 ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr); 2085 ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr); 2086 ierr = VecSetType(coordinates,VECSTANDARD);CHKERRQ(ierr); 2087 ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr); 2088 for (v = 0; v < numVerts; ++v) for (d = 0; d < embedDim; ++d) {coords[v*embedDim+d] = coordsIn[v*embedDim+d];} 2089 ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr); 2090 ierr = DMSetCoordinatesLocal(*dm, coordinates);CHKERRQ(ierr); 2091 ierr = VecDestroy(&coordinates);CHKERRQ(ierr); 2092 ierr = PetscFree(coordsIn);CHKERRQ(ierr); 2093 PetscFunctionReturn(0); 2094 } 2095 2096 /* External function declarations here */ 2097 extern PetscErrorCode DMCreateInterpolation_Plex(DM dmCoarse, DM dmFine, Mat *interpolation, Vec *scaling); 2098 extern PetscErrorCode DMCreateInjection_Plex(DM dmCoarse, DM dmFine, Mat *mat); 2099 extern PetscErrorCode DMCreateMassMatrix_Plex(DM dmCoarse, DM dmFine, Mat *mat); 2100 extern PetscErrorCode DMCreateDefaultSection_Plex(DM dm); 2101 extern PetscErrorCode DMCreateDefaultConstraints_Plex(DM dm); 2102 extern PetscErrorCode DMCreateMatrix_Plex(DM dm, Mat *J); 2103 extern PetscErrorCode DMCreateCoordinateDM_Plex(DM dm, DM *cdm); 2104 extern PetscErrorCode DMCreateCoordinateField_Plex(DM dm, DMField *field); 2105 PETSC_INTERN PetscErrorCode DMClone_Plex(DM dm, DM *newdm); 2106 extern PetscErrorCode DMSetUp_Plex(DM dm); 2107 extern PetscErrorCode DMDestroy_Plex(DM dm); 2108 extern PetscErrorCode DMView_Plex(DM dm, PetscViewer viewer); 2109 extern PetscErrorCode DMLoad_Plex(DM dm, PetscViewer viewer); 2110 extern PetscErrorCode DMCreateSubDM_Plex(DM dm, PetscInt numFields, const PetscInt fields[], IS *is, DM *subdm); 2111 extern PetscErrorCode DMCreateSuperDM_Plex(DM dms[], PetscInt len, IS **is, DM *superdm); 2112 static PetscErrorCode DMInitialize_Plex(DM dm); 2113 2114 /* Replace dm with the contents of dmNew 2115 - Share the DM_Plex structure 2116 - Share the coordinates 2117 - Share the SF 2118 */ 2119 static PetscErrorCode DMPlexReplace_Static(DM dm, DM dmNew) 2120 { 2121 PetscSF sf; 2122 DM coordDM, coarseDM; 2123 Vec coords; 2124 PetscBool isper; 2125 const PetscReal *maxCell, *L; 2126 const DMBoundaryType *bd; 2127 PetscErrorCode ierr; 2128 2129 PetscFunctionBegin; 2130 ierr = DMGetPointSF(dmNew, &sf);CHKERRQ(ierr); 2131 ierr = DMSetPointSF(dm, sf);CHKERRQ(ierr); 2132 ierr = DMGetCoordinateDM(dmNew, &coordDM);CHKERRQ(ierr); 2133 ierr = DMGetCoordinatesLocal(dmNew, &coords);CHKERRQ(ierr); 2134 ierr = DMSetCoordinateDM(dm, coordDM);CHKERRQ(ierr); 2135 ierr = DMSetCoordinatesLocal(dm, coords);CHKERRQ(ierr); 2136 ierr = DMGetPeriodicity(dm, &isper, &maxCell, &L, &bd);CHKERRQ(ierr); 2137 ierr = DMSetPeriodicity(dmNew, isper, maxCell, L, bd);CHKERRQ(ierr); 2138 ierr = DMDestroy_Plex(dm);CHKERRQ(ierr); 2139 ierr = DMInitialize_Plex(dm);CHKERRQ(ierr); 2140 dm->data = dmNew->data; 2141 ((DM_Plex *) dmNew->data)->refct++; 2142 dmNew->labels->refct++; 2143 if (!--(dm->labels->refct)) { 2144 DMLabelLink next = dm->labels->next; 2145 2146 /* destroy the labels */ 2147 while (next) { 2148 DMLabelLink tmp = next->next; 2149 2150 ierr = DMLabelDestroy(&next->label);CHKERRQ(ierr); 2151 ierr = PetscFree(next);CHKERRQ(ierr); 2152 next = tmp; 2153 } 2154 ierr = PetscFree(dm->labels);CHKERRQ(ierr); 2155 } 2156 dm->labels = dmNew->labels; 2157 dm->depthLabel = dmNew->depthLabel; 2158 ierr = DMGetCoarseDM(dmNew,&coarseDM);CHKERRQ(ierr); 2159 ierr = DMSetCoarseDM(dm,coarseDM);CHKERRQ(ierr); 2160 PetscFunctionReturn(0); 2161 } 2162 2163 /* Swap dm with the contents of dmNew 2164 - Swap the DM_Plex structure 2165 - Swap the coordinates 2166 - Swap the point PetscSF 2167 */ 2168 static PetscErrorCode DMPlexSwap_Static(DM dmA, DM dmB) 2169 { 2170 DM coordDMA, coordDMB; 2171 Vec coordsA, coordsB; 2172 PetscSF sfA, sfB; 2173 void *tmp; 2174 DMLabelLinkList listTmp; 2175 DMLabel depthTmp; 2176 PetscErrorCode ierr; 2177 2178 PetscFunctionBegin; 2179 ierr = DMGetPointSF(dmA, &sfA);CHKERRQ(ierr); 2180 ierr = DMGetPointSF(dmB, &sfB);CHKERRQ(ierr); 2181 ierr = PetscObjectReference((PetscObject) sfA);CHKERRQ(ierr); 2182 ierr = DMSetPointSF(dmA, sfB);CHKERRQ(ierr); 2183 ierr = DMSetPointSF(dmB, sfA);CHKERRQ(ierr); 2184 ierr = PetscObjectDereference((PetscObject) sfA);CHKERRQ(ierr); 2185 2186 ierr = DMGetCoordinateDM(dmA, &coordDMA);CHKERRQ(ierr); 2187 ierr = DMGetCoordinateDM(dmB, &coordDMB);CHKERRQ(ierr); 2188 ierr = PetscObjectReference((PetscObject) coordDMA);CHKERRQ(ierr); 2189 ierr = DMSetCoordinateDM(dmA, coordDMB);CHKERRQ(ierr); 2190 ierr = DMSetCoordinateDM(dmB, coordDMA);CHKERRQ(ierr); 2191 ierr = PetscObjectDereference((PetscObject) coordDMA);CHKERRQ(ierr); 2192 2193 ierr = DMGetCoordinatesLocal(dmA, &coordsA);CHKERRQ(ierr); 2194 ierr = DMGetCoordinatesLocal(dmB, &coordsB);CHKERRQ(ierr); 2195 ierr = PetscObjectReference((PetscObject) coordsA);CHKERRQ(ierr); 2196 ierr = DMSetCoordinatesLocal(dmA, coordsB);CHKERRQ(ierr); 2197 ierr = DMSetCoordinatesLocal(dmB, coordsA);CHKERRQ(ierr); 2198 ierr = PetscObjectDereference((PetscObject) coordsA);CHKERRQ(ierr); 2199 2200 tmp = dmA->data; 2201 dmA->data = dmB->data; 2202 dmB->data = tmp; 2203 listTmp = dmA->labels; 2204 dmA->labels = dmB->labels; 2205 dmB->labels = listTmp; 2206 depthTmp = dmA->depthLabel; 2207 dmA->depthLabel = dmB->depthLabel; 2208 dmB->depthLabel = depthTmp; 2209 PetscFunctionReturn(0); 2210 } 2211 2212 PetscErrorCode DMSetFromOptions_NonRefinement_Plex(PetscOptionItems *PetscOptionsObject,DM dm) 2213 { 2214 DM_Plex *mesh = (DM_Plex*) dm->data; 2215 PetscErrorCode ierr; 2216 2217 PetscFunctionBegin; 2218 /* Handle viewing */ 2219 ierr = PetscOptionsBool("-dm_plex_print_set_values", "Output all set values info", "DMView", PETSC_FALSE, &mesh->printSetValues, NULL);CHKERRQ(ierr); 2220 ierr = PetscOptionsInt("-dm_plex_print_fem", "Debug output level all fem computations", "DMView", 0, &mesh->printFEM, NULL);CHKERRQ(ierr); 2221 ierr = PetscOptionsReal("-dm_plex_print_tol", "Tolerance for FEM output", "DMView", mesh->printTol, &mesh->printTol, NULL);CHKERRQ(ierr); 2222 /* Point Location */ 2223 ierr = PetscOptionsBool("-dm_plex_hash_location", "Use grid hashing for point location", "DMView", PETSC_FALSE, &mesh->useHashLocation, NULL);CHKERRQ(ierr); 2224 /* Generation and remeshing */ 2225 ierr = PetscOptionsBool("-dm_plex_remesh_bd", "Allow changes to the boundary on remeshing", "DMView", PETSC_FALSE, &mesh->remeshBd, NULL);CHKERRQ(ierr); 2226 /* Projection behavior */ 2227 ierr = PetscOptionsInt("-dm_plex_max_projection_height", "Maxmimum mesh point height used to project locally", "DMPlexSetMaxProjectionHeight", 0, &mesh->maxProjectionHeight, NULL);CHKERRQ(ierr); 2228 ierr = PetscOptionsBool("-dm_plex_regular_refinement", "Use special nested projection algorithm for regular refinement", "DMPlexSetRegularRefinement", mesh->regularRefinement, &mesh->regularRefinement, NULL);CHKERRQ(ierr); 2229 2230 ierr = PetscPartitionerSetFromOptions(mesh->partitioner);CHKERRQ(ierr); 2231 PetscFunctionReturn(0); 2232 } 2233 2234 static PetscErrorCode DMSetFromOptions_Plex(PetscOptionItems *PetscOptionsObject,DM dm) 2235 { 2236 PetscInt refine = 0, coarsen = 0, r; 2237 PetscBool isHierarchy; 2238 PetscErrorCode ierr; 2239 2240 PetscFunctionBegin; 2241 PetscValidHeaderSpecific(dm, DM_CLASSID, 1); 2242 ierr = PetscOptionsHead(PetscOptionsObject,"DMPlex Options");CHKERRQ(ierr); 2243 /* Handle DMPlex refinement */ 2244 ierr = PetscOptionsInt("-dm_refine", "The number of uniform refinements", "DMCreate", refine, &refine, NULL);CHKERRQ(ierr); 2245 ierr = PetscOptionsInt("-dm_refine_hierarchy", "The number of uniform refinements", "DMCreate", refine, &refine, &isHierarchy);CHKERRQ(ierr); 2246 if (refine) {ierr = DMPlexSetRefinementUniform(dm, PETSC_TRUE);CHKERRQ(ierr);} 2247 if (refine && isHierarchy) { 2248 DM *dms, coarseDM; 2249 2250 ierr = DMGetCoarseDM(dm, &coarseDM);CHKERRQ(ierr); 2251 ierr = PetscObjectReference((PetscObject)coarseDM);CHKERRQ(ierr); 2252 ierr = PetscMalloc1(refine,&dms);CHKERRQ(ierr); 2253 ierr = DMRefineHierarchy(dm, refine, dms);CHKERRQ(ierr); 2254 /* Total hack since we do not pass in a pointer */ 2255 ierr = DMPlexSwap_Static(dm, dms[refine-1]);CHKERRQ(ierr); 2256 if (refine == 1) { 2257 ierr = DMSetCoarseDM(dm, dms[0]);CHKERRQ(ierr); 2258 ierr = DMPlexSetRegularRefinement(dm, PETSC_TRUE);CHKERRQ(ierr); 2259 } else { 2260 ierr = DMSetCoarseDM(dm, dms[refine-2]);CHKERRQ(ierr); 2261 ierr = DMPlexSetRegularRefinement(dm, PETSC_TRUE);CHKERRQ(ierr); 2262 ierr = DMSetCoarseDM(dms[0], dms[refine-1]);CHKERRQ(ierr); 2263 ierr = DMPlexSetRegularRefinement(dms[0], PETSC_TRUE);CHKERRQ(ierr); 2264 } 2265 ierr = DMSetCoarseDM(dms[refine-1], coarseDM);CHKERRQ(ierr); 2266 ierr = PetscObjectDereference((PetscObject)coarseDM);CHKERRQ(ierr); 2267 /* Free DMs */ 2268 for (r = 0; r < refine; ++r) { 2269 ierr = DMSetFromOptions_NonRefinement_Plex(PetscOptionsObject, dms[r]);CHKERRQ(ierr); 2270 ierr = DMDestroy(&dms[r]);CHKERRQ(ierr); 2271 } 2272 ierr = PetscFree(dms);CHKERRQ(ierr); 2273 } else { 2274 for (r = 0; r < refine; ++r) { 2275 DM refinedMesh; 2276 2277 ierr = DMSetFromOptions_NonRefinement_Plex(PetscOptionsObject, dm);CHKERRQ(ierr); 2278 ierr = DMRefine(dm, PetscObjectComm((PetscObject) dm), &refinedMesh);CHKERRQ(ierr); 2279 /* Total hack since we do not pass in a pointer */ 2280 ierr = DMPlexReplace_Static(dm, refinedMesh);CHKERRQ(ierr); 2281 ierr = DMSetFromOptions_NonRefinement_Plex(PetscOptionsObject, dm);CHKERRQ(ierr); 2282 ierr = DMDestroy(&refinedMesh);CHKERRQ(ierr); 2283 } 2284 } 2285 /* Handle DMPlex coarsening */ 2286 ierr = PetscOptionsInt("-dm_coarsen", "Coarsen the mesh", "DMCreate", coarsen, &coarsen, NULL);CHKERRQ(ierr); 2287 ierr = PetscOptionsInt("-dm_coarsen_hierarchy", "The number of coarsenings", "DMCreate", coarsen, &coarsen, &isHierarchy);CHKERRQ(ierr); 2288 if (coarsen && isHierarchy) { 2289 DM *dms; 2290 2291 ierr = PetscMalloc1(coarsen, &dms);CHKERRQ(ierr); 2292 ierr = DMCoarsenHierarchy(dm, coarsen, dms);CHKERRQ(ierr); 2293 /* Free DMs */ 2294 for (r = 0; r < coarsen; ++r) { 2295 ierr = DMSetFromOptions_NonRefinement_Plex(PetscOptionsObject, dms[r]);CHKERRQ(ierr); 2296 ierr = DMDestroy(&dms[r]);CHKERRQ(ierr); 2297 } 2298 ierr = PetscFree(dms);CHKERRQ(ierr); 2299 } else { 2300 for (r = 0; r < coarsen; ++r) { 2301 DM coarseMesh; 2302 2303 ierr = DMSetFromOptions_NonRefinement_Plex(PetscOptionsObject, dm);CHKERRQ(ierr); 2304 ierr = DMCoarsen(dm, PetscObjectComm((PetscObject) dm), &coarseMesh);CHKERRQ(ierr); 2305 /* Total hack since we do not pass in a pointer */ 2306 ierr = DMPlexReplace_Static(dm, coarseMesh);CHKERRQ(ierr); 2307 ierr = DMSetFromOptions_NonRefinement_Plex(PetscOptionsObject, dm);CHKERRQ(ierr); 2308 ierr = DMDestroy(&coarseMesh);CHKERRQ(ierr); 2309 } 2310 } 2311 /* Handle */ 2312 ierr = DMSetFromOptions_NonRefinement_Plex(PetscOptionsObject, dm);CHKERRQ(ierr); 2313 ierr = PetscOptionsTail();CHKERRQ(ierr); 2314 PetscFunctionReturn(0); 2315 } 2316 2317 static PetscErrorCode DMCreateGlobalVector_Plex(DM dm,Vec *vec) 2318 { 2319 PetscErrorCode ierr; 2320 2321 PetscFunctionBegin; 2322 ierr = DMCreateGlobalVector_Section_Private(dm,vec);CHKERRQ(ierr); 2323 /* ierr = VecSetOperation(*vec, VECOP_DUPLICATE, (void(*)(void)) VecDuplicate_MPI_DM);CHKERRQ(ierr); */ 2324 ierr = VecSetOperation(*vec, VECOP_VIEW, (void (*)(void)) VecView_Plex);CHKERRQ(ierr); 2325 ierr = VecSetOperation(*vec, VECOP_VIEWNATIVE, (void (*)(void)) VecView_Plex_Native);CHKERRQ(ierr); 2326 ierr = VecSetOperation(*vec, VECOP_LOAD, (void (*)(void)) VecLoad_Plex);CHKERRQ(ierr); 2327 ierr = VecSetOperation(*vec, VECOP_LOADNATIVE, (void (*)(void)) VecLoad_Plex_Native);CHKERRQ(ierr); 2328 PetscFunctionReturn(0); 2329 } 2330 2331 static PetscErrorCode DMCreateLocalVector_Plex(DM dm,Vec *vec) 2332 { 2333 PetscErrorCode ierr; 2334 2335 PetscFunctionBegin; 2336 ierr = DMCreateLocalVector_Section_Private(dm,vec);CHKERRQ(ierr); 2337 ierr = VecSetOperation(*vec, VECOP_VIEW, (void (*)(void)) VecView_Plex_Local);CHKERRQ(ierr); 2338 ierr = VecSetOperation(*vec, VECOP_LOAD, (void (*)(void)) VecLoad_Plex_Local);CHKERRQ(ierr); 2339 PetscFunctionReturn(0); 2340 } 2341 2342 static PetscErrorCode DMGetDimPoints_Plex(DM dm, PetscInt dim, PetscInt *pStart, PetscInt *pEnd) 2343 { 2344 PetscInt depth, d; 2345 PetscErrorCode ierr; 2346 2347 PetscFunctionBegin; 2348 ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr); 2349 if (depth == 1) { 2350 ierr = DMGetDimension(dm, &d);CHKERRQ(ierr); 2351 if (dim == 0) {ierr = DMPlexGetDepthStratum(dm, dim, pStart, pEnd);CHKERRQ(ierr);} 2352 else if (dim == d) {ierr = DMPlexGetDepthStratum(dm, 1, pStart, pEnd);CHKERRQ(ierr);} 2353 else {*pStart = 0; *pEnd = 0;} 2354 } else { 2355 ierr = DMPlexGetDepthStratum(dm, dim, pStart, pEnd);CHKERRQ(ierr); 2356 } 2357 PetscFunctionReturn(0); 2358 } 2359 2360 static PetscErrorCode DMGetNeighors_Plex(DM dm, PetscInt *nranks, const PetscMPIInt *ranks[]) 2361 { 2362 PetscSF sf; 2363 PetscErrorCode ierr; 2364 2365 PetscFunctionBegin; 2366 ierr = DMGetPointSF(dm, &sf);CHKERRQ(ierr); 2367 ierr = PetscSFGetRanks(sf, nranks, ranks, NULL, NULL, NULL);CHKERRQ(ierr); 2368 PetscFunctionReturn(0); 2369 } 2370 2371 static PetscErrorCode DMHasCreateInjection_Plex(DM dm, PetscBool *flg) 2372 { 2373 PetscFunctionBegin; 2374 PetscValidHeaderSpecific(dm,DM_CLASSID,1); 2375 PetscValidPointer(flg,2); 2376 *flg = PETSC_TRUE; 2377 PetscFunctionReturn(0); 2378 } 2379 2380 static PetscErrorCode DMInitialize_Plex(DM dm) 2381 { 2382 PetscErrorCode ierr; 2383 2384 PetscFunctionBegin; 2385 dm->ops->view = DMView_Plex; 2386 dm->ops->load = DMLoad_Plex; 2387 dm->ops->setfromoptions = DMSetFromOptions_Plex; 2388 dm->ops->clone = DMClone_Plex; 2389 dm->ops->setup = DMSetUp_Plex; 2390 dm->ops->createdefaultsection = DMCreateDefaultSection_Plex; 2391 dm->ops->createdefaultconstraints = DMCreateDefaultConstraints_Plex; 2392 dm->ops->createglobalvector = DMCreateGlobalVector_Plex; 2393 dm->ops->createlocalvector = DMCreateLocalVector_Plex; 2394 dm->ops->getlocaltoglobalmapping = NULL; 2395 dm->ops->createfieldis = NULL; 2396 dm->ops->createcoordinatedm = DMCreateCoordinateDM_Plex; 2397 dm->ops->createcoordinatefield = DMCreateCoordinateField_Plex; 2398 dm->ops->getcoloring = NULL; 2399 dm->ops->creatematrix = DMCreateMatrix_Plex; 2400 dm->ops->createinterpolation = DMCreateInterpolation_Plex; 2401 dm->ops->createmassmatrix = DMCreateMassMatrix_Plex; 2402 dm->ops->getaggregates = NULL; 2403 dm->ops->getinjection = DMCreateInjection_Plex; 2404 dm->ops->hascreateinjection = DMHasCreateInjection_Plex; 2405 dm->ops->refine = DMRefine_Plex; 2406 dm->ops->coarsen = DMCoarsen_Plex; 2407 dm->ops->refinehierarchy = DMRefineHierarchy_Plex; 2408 dm->ops->coarsenhierarchy = DMCoarsenHierarchy_Plex; 2409 dm->ops->adaptlabel = DMAdaptLabel_Plex; 2410 dm->ops->adaptmetric = DMAdaptMetric_Plex; 2411 dm->ops->globaltolocalbegin = NULL; 2412 dm->ops->globaltolocalend = NULL; 2413 dm->ops->localtoglobalbegin = NULL; 2414 dm->ops->localtoglobalend = NULL; 2415 dm->ops->destroy = DMDestroy_Plex; 2416 dm->ops->createsubdm = DMCreateSubDM_Plex; 2417 dm->ops->createsuperdm = DMCreateSuperDM_Plex; 2418 dm->ops->getdimpoints = DMGetDimPoints_Plex; 2419 dm->ops->locatepoints = DMLocatePoints_Plex; 2420 dm->ops->projectfunctionlocal = DMProjectFunctionLocal_Plex; 2421 dm->ops->projectfunctionlabellocal = DMProjectFunctionLabelLocal_Plex; 2422 dm->ops->projectfieldlocal = DMProjectFieldLocal_Plex; 2423 dm->ops->projectfieldlabellocal = DMProjectFieldLabelLocal_Plex; 2424 dm->ops->computel2diff = DMComputeL2Diff_Plex; 2425 dm->ops->computel2gradientdiff = DMComputeL2GradientDiff_Plex; 2426 dm->ops->computel2fielddiff = DMComputeL2FieldDiff_Plex; 2427 dm->ops->getneighbors = DMGetNeighors_Plex; 2428 ierr = PetscObjectComposeFunction((PetscObject)dm,"DMPlexInsertBoundaryValues_C",DMPlexInsertBoundaryValues_Plex);CHKERRQ(ierr); 2429 ierr = PetscObjectComposeFunction((PetscObject)dm,"DMSetUpGLVisViewer_C",DMSetUpGLVisViewer_Plex);CHKERRQ(ierr); 2430 PetscFunctionReturn(0); 2431 } 2432 2433 PETSC_INTERN PetscErrorCode DMClone_Plex(DM dm, DM *newdm) 2434 { 2435 DM_Plex *mesh = (DM_Plex *) dm->data; 2436 PetscErrorCode ierr; 2437 2438 PetscFunctionBegin; 2439 mesh->refct++; 2440 (*newdm)->data = mesh; 2441 ierr = PetscObjectChangeTypeName((PetscObject) *newdm, DMPLEX);CHKERRQ(ierr); 2442 ierr = DMInitialize_Plex(*newdm);CHKERRQ(ierr); 2443 PetscFunctionReturn(0); 2444 } 2445 2446 /*MC 2447 DMPLEX = "plex" - A DM object that encapsulates an unstructured mesh, or CW Complex, which can be expressed using a Hasse Diagram. 2448 In the local representation, Vecs contain all unknowns in the interior and shared boundary. This is 2449 specified by a PetscSection object. Ownership in the global representation is determined by 2450 ownership of the underlying DMPlex points. This is specified by another PetscSection object. 2451 2452 Level: intermediate 2453 2454 .seealso: DMType, DMPlexCreate(), DMCreate(), DMSetType() 2455 M*/ 2456 2457 PETSC_EXTERN PetscErrorCode DMCreate_Plex(DM dm) 2458 { 2459 DM_Plex *mesh; 2460 PetscInt unit, d; 2461 PetscErrorCode ierr; 2462 2463 PetscFunctionBegin; 2464 PetscValidHeaderSpecific(dm, DM_CLASSID, 1); 2465 ierr = PetscNewLog(dm,&mesh);CHKERRQ(ierr); 2466 dm->dim = 0; 2467 dm->data = mesh; 2468 2469 mesh->refct = 1; 2470 ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &mesh->coneSection);CHKERRQ(ierr); 2471 mesh->maxConeSize = 0; 2472 mesh->cones = NULL; 2473 mesh->coneOrientations = NULL; 2474 ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &mesh->supportSection);CHKERRQ(ierr); 2475 mesh->maxSupportSize = 0; 2476 mesh->supports = NULL; 2477 mesh->refinementUniform = PETSC_TRUE; 2478 mesh->refinementLimit = -1.0; 2479 2480 mesh->facesTmp = NULL; 2481 2482 mesh->tetgenOpts = NULL; 2483 mesh->triangleOpts = NULL; 2484 ierr = PetscPartitionerCreate(PetscObjectComm((PetscObject)dm), &mesh->partitioner);CHKERRQ(ierr); 2485 mesh->remeshBd = PETSC_FALSE; 2486 2487 mesh->subpointMap = NULL; 2488 2489 for (unit = 0; unit < NUM_PETSC_UNITS; ++unit) mesh->scale[unit] = 1.0; 2490 2491 mesh->regularRefinement = PETSC_FALSE; 2492 mesh->depthState = -1; 2493 mesh->globalVertexNumbers = NULL; 2494 mesh->globalCellNumbers = NULL; 2495 mesh->anchorSection = NULL; 2496 mesh->anchorIS = NULL; 2497 mesh->createanchors = NULL; 2498 mesh->computeanchormatrix = NULL; 2499 mesh->parentSection = NULL; 2500 mesh->parents = NULL; 2501 mesh->childIDs = NULL; 2502 mesh->childSection = NULL; 2503 mesh->children = NULL; 2504 mesh->referenceTree = NULL; 2505 mesh->getchildsymmetry = NULL; 2506 for (d = 0; d < 8; ++d) mesh->hybridPointMax[d] = PETSC_DETERMINE; 2507 mesh->vtkCellHeight = 0; 2508 mesh->useAnchors = PETSC_FALSE; 2509 2510 mesh->maxProjectionHeight = 0; 2511 2512 mesh->printSetValues = PETSC_FALSE; 2513 mesh->printFEM = 0; 2514 mesh->printTol = 1.0e-10; 2515 2516 ierr = DMInitialize_Plex(dm);CHKERRQ(ierr); 2517 PetscFunctionReturn(0); 2518 } 2519 2520 /*@ 2521 DMPlexCreate - Creates a DMPlex object, which encapsulates an unstructured mesh, or CW complex, which can be expressed using a Hasse Diagram. 2522 2523 Collective on MPI_Comm 2524 2525 Input Parameter: 2526 . comm - The communicator for the DMPlex object 2527 2528 Output Parameter: 2529 . mesh - The DMPlex object 2530 2531 Level: beginner 2532 2533 .keywords: DMPlex, create 2534 @*/ 2535 PetscErrorCode DMPlexCreate(MPI_Comm comm, DM *mesh) 2536 { 2537 PetscErrorCode ierr; 2538 2539 PetscFunctionBegin; 2540 PetscValidPointer(mesh,2); 2541 ierr = DMCreate(comm, mesh);CHKERRQ(ierr); 2542 ierr = DMSetType(*mesh, DMPLEX);CHKERRQ(ierr); 2543 PetscFunctionReturn(0); 2544 } 2545 2546 /* 2547 This takes as input the common mesh generator output, a list of the vertices for each cell, but vertex numbers are global and an SF is built for them 2548 */ 2549 /* TODO: invertCells and spaceDim arguments could be added also to to DMPlexCreateFromCellListParallel(), DMPlexBuildFromCellList_Internal() and DMPlexCreateFromCellList() */ 2550 PetscErrorCode DMPlexBuildFromCellList_Parallel_Internal(DM dm, PetscInt spaceDim, PetscInt numCells, PetscInt numVertices, PetscInt numCorners, const int cells[], PetscBool invertCells, PetscSF *sfVert) 2551 { 2552 PetscSF sfPoint; 2553 PetscLayout vLayout; 2554 PetscHSetI vhash; 2555 PetscSFNode *remoteVerticesAdj, *vertexLocal, *vertexOwner, *remoteVertex; 2556 const PetscInt *vrange; 2557 PetscInt numVerticesAdj, off = 0, *verticesAdj, numVerticesGhost = 0, *localVertex, *cone, c, p, v, g; 2558 PetscMPIInt rank, size; 2559 PetscErrorCode ierr; 2560 2561 PetscFunctionBegin; 2562 ierr = MPI_Comm_rank(PetscObjectComm((PetscObject) dm), &rank);CHKERRQ(ierr); 2563 ierr = MPI_Comm_size(PetscObjectComm((PetscObject) dm), &size);CHKERRQ(ierr); 2564 /* Partition vertices */ 2565 ierr = PetscLayoutCreate(PetscObjectComm((PetscObject) dm), &vLayout);CHKERRQ(ierr); 2566 ierr = PetscLayoutSetLocalSize(vLayout, numVertices);CHKERRQ(ierr); 2567 ierr = PetscLayoutSetBlockSize(vLayout, 1);CHKERRQ(ierr); 2568 ierr = PetscLayoutSetUp(vLayout);CHKERRQ(ierr); 2569 ierr = PetscLayoutGetRanges(vLayout, &vrange);CHKERRQ(ierr); 2570 /* Count vertices and map them to procs */ 2571 ierr = PetscHSetICreate(&vhash);CHKERRQ(ierr); 2572 for (c = 0; c < numCells; ++c) { 2573 for (p = 0; p < numCorners; ++p) { 2574 ierr = PetscHSetIAdd(vhash, cells[c*numCorners+p]);CHKERRQ(ierr); 2575 } 2576 } 2577 ierr = PetscHSetIGetSize(vhash, &numVerticesAdj);CHKERRQ(ierr); 2578 ierr = PetscMalloc1(numVerticesAdj, &verticesAdj);CHKERRQ(ierr); 2579 ierr = PetscHSetIGetElems(vhash, &off, verticesAdj);CHKERRQ(ierr); 2580 ierr = PetscHSetIDestroy(&vhash);CHKERRQ(ierr); 2581 if (off != numVerticesAdj) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid number of local vertices %D should be %D", off, numVerticesAdj); 2582 ierr = PetscSortInt(numVerticesAdj, verticesAdj);CHKERRQ(ierr); 2583 ierr = PetscMalloc1(numVerticesAdj, &remoteVerticesAdj);CHKERRQ(ierr); 2584 for (v = 0; v < numVerticesAdj; ++v) { 2585 const PetscInt gv = verticesAdj[v]; 2586 PetscInt vrank; 2587 2588 ierr = PetscFindInt(gv, size+1, vrange, &vrank);CHKERRQ(ierr); 2589 vrank = vrank < 0 ? -(vrank+2) : vrank; 2590 remoteVerticesAdj[v].index = gv - vrange[vrank]; 2591 remoteVerticesAdj[v].rank = vrank; 2592 } 2593 /* Create cones */ 2594 ierr = DMPlexSetChart(dm, 0, numCells+numVerticesAdj);CHKERRQ(ierr); 2595 for (c = 0; c < numCells; ++c) {ierr = DMPlexSetConeSize(dm, c, numCorners);CHKERRQ(ierr);} 2596 ierr = DMSetUp(dm);CHKERRQ(ierr); 2597 ierr = DMGetWorkArray(dm, numCorners, MPIU_INT, &cone);CHKERRQ(ierr); 2598 for (c = 0; c < numCells; ++c) { 2599 for (p = 0; p < numCorners; ++p) { 2600 const PetscInt gv = cells[c*numCorners+p]; 2601 PetscInt lv; 2602 2603 ierr = PetscFindInt(gv, numVerticesAdj, verticesAdj, &lv);CHKERRQ(ierr); 2604 if (lv < 0) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Could not find global vertex %D in local connectivity", gv); 2605 cone[p] = lv+numCells; 2606 } 2607 if (invertCells) { ierr = DMPlexInvertCell_Internal(spaceDim, numCorners, cone);CHKERRQ(ierr); } 2608 ierr = DMPlexSetCone(dm, c, cone);CHKERRQ(ierr); 2609 } 2610 ierr = DMRestoreWorkArray(dm, numCorners, MPIU_INT, &cone);CHKERRQ(ierr); 2611 /* Create SF for vertices */ 2612 ierr = PetscSFCreate(PetscObjectComm((PetscObject)dm), sfVert);CHKERRQ(ierr); 2613 ierr = PetscObjectSetName((PetscObject) *sfVert, "Vertex Ownership SF");CHKERRQ(ierr); 2614 ierr = PetscSFSetFromOptions(*sfVert);CHKERRQ(ierr); 2615 ierr = PetscSFSetGraph(*sfVert, numVertices, numVerticesAdj, NULL, PETSC_OWN_POINTER, remoteVerticesAdj, PETSC_OWN_POINTER);CHKERRQ(ierr); 2616 ierr = PetscFree(verticesAdj);CHKERRQ(ierr); 2617 /* Build pointSF */ 2618 ierr = PetscMalloc2(numVerticesAdj, &vertexLocal, numVertices, &vertexOwner);CHKERRQ(ierr); 2619 for (v = 0; v < numVerticesAdj; ++v) {vertexLocal[v].index = v+numCells; vertexLocal[v].rank = rank;} 2620 for (v = 0; v < numVertices; ++v) {vertexOwner[v].index = -1; vertexOwner[v].rank = -1;} 2621 ierr = PetscSFReduceBegin(*sfVert, MPIU_2INT, vertexLocal, vertexOwner, MPI_MAXLOC);CHKERRQ(ierr); 2622 ierr = PetscSFReduceEnd(*sfVert, MPIU_2INT, vertexLocal, vertexOwner, MPI_MAXLOC);CHKERRQ(ierr); 2623 for (v = 0; v < numVertices; ++v) if (vertexOwner[v].rank < 0) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Global vertex %d on rank %d was unclaimed", v + vrange[rank], rank); 2624 ierr = PetscSFBcastBegin(*sfVert, MPIU_2INT, vertexOwner, vertexLocal);CHKERRQ(ierr); 2625 ierr = PetscSFBcastEnd(*sfVert, MPIU_2INT, vertexOwner, vertexLocal);CHKERRQ(ierr); 2626 for (v = 0; v < numVerticesAdj; ++v) if (vertexLocal[v].rank != rank) ++numVerticesGhost; 2627 ierr = PetscMalloc1(numVerticesGhost, &localVertex);CHKERRQ(ierr); 2628 ierr = PetscMalloc1(numVerticesGhost, &remoteVertex);CHKERRQ(ierr); 2629 for (v = 0, g = 0; v < numVerticesAdj; ++v) { 2630 if (vertexLocal[v].rank != rank) { 2631 localVertex[g] = v+numCells; 2632 remoteVertex[g].index = vertexLocal[v].index; 2633 remoteVertex[g].rank = vertexLocal[v].rank; 2634 ++g; 2635 } 2636 } 2637 ierr = PetscFree2(vertexLocal, vertexOwner);CHKERRQ(ierr); 2638 if (g != numVerticesGhost) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid number of vertex ghosts %D should be %D", g, numVerticesGhost); 2639 ierr = DMGetPointSF(dm, &sfPoint);CHKERRQ(ierr); 2640 ierr = PetscObjectSetName((PetscObject) sfPoint, "point SF");CHKERRQ(ierr); 2641 ierr = PetscSFSetGraph(sfPoint, numCells+numVerticesAdj, numVerticesGhost, localVertex, PETSC_OWN_POINTER, remoteVertex, PETSC_OWN_POINTER);CHKERRQ(ierr); 2642 ierr = PetscLayoutDestroy(&vLayout);CHKERRQ(ierr); 2643 /* Fill in the rest of the topology structure */ 2644 ierr = DMPlexSymmetrize(dm);CHKERRQ(ierr); 2645 ierr = DMPlexStratify(dm);CHKERRQ(ierr); 2646 PetscFunctionReturn(0); 2647 } 2648 2649 /* 2650 This takes as input the coordinates for each owned vertex 2651 */ 2652 PetscErrorCode DMPlexBuildCoordinates_Parallel_Internal(DM dm, PetscInt spaceDim, PetscInt numCells, PetscInt numV, PetscSF sfVert, const PetscReal vertexCoords[]) 2653 { 2654 PetscSection coordSection; 2655 Vec coordinates; 2656 PetscScalar *coords; 2657 PetscInt numVertices, numVerticesAdj, coordSize, v; 2658 PetscErrorCode ierr; 2659 2660 PetscFunctionBegin; 2661 ierr = DMSetCoordinateDim(dm, spaceDim);CHKERRQ(ierr); 2662 ierr = PetscSFGetGraph(sfVert, &numVertices, &numVerticesAdj, NULL, NULL);CHKERRQ(ierr); 2663 ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr); 2664 ierr = PetscSectionSetNumFields(coordSection, 1);CHKERRQ(ierr); 2665 ierr = PetscSectionSetFieldComponents(coordSection, 0, spaceDim);CHKERRQ(ierr); 2666 ierr = PetscSectionSetChart(coordSection, numCells, numCells + numVerticesAdj);CHKERRQ(ierr); 2667 for (v = numCells; v < numCells+numVerticesAdj; ++v) { 2668 ierr = PetscSectionSetDof(coordSection, v, spaceDim);CHKERRQ(ierr); 2669 ierr = PetscSectionSetFieldDof(coordSection, v, 0, spaceDim);CHKERRQ(ierr); 2670 } 2671 ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr); 2672 ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr); 2673 ierr = VecCreate(PetscObjectComm((PetscObject)dm), &coordinates);CHKERRQ(ierr); 2674 ierr = VecSetBlockSize(coordinates, spaceDim);CHKERRQ(ierr); 2675 ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr); 2676 ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr); 2677 ierr = VecSetType(coordinates,VECSTANDARD);CHKERRQ(ierr); 2678 ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr); 2679 { 2680 MPI_Datatype coordtype; 2681 2682 /* Need a temp buffer for coords if we have complex/single */ 2683 ierr = MPI_Type_contiguous(spaceDim, MPIU_SCALAR, &coordtype);CHKERRQ(ierr); 2684 ierr = MPI_Type_commit(&coordtype);CHKERRQ(ierr); 2685 #if defined(PETSC_USE_COMPLEX) 2686 { 2687 PetscScalar *svertexCoords; 2688 PetscInt i; 2689 ierr = PetscMalloc1(numV*spaceDim,&svertexCoords);CHKERRQ(ierr); 2690 for (i=0; i<numV*spaceDim; i++) svertexCoords[i] = vertexCoords[i]; 2691 ierr = PetscSFBcastBegin(sfVert, coordtype, svertexCoords, coords);CHKERRQ(ierr); 2692 ierr = PetscSFBcastEnd(sfVert, coordtype, svertexCoords, coords);CHKERRQ(ierr); 2693 ierr = PetscFree(svertexCoords);CHKERRQ(ierr); 2694 } 2695 #else 2696 ierr = PetscSFBcastBegin(sfVert, coordtype, vertexCoords, coords);CHKERRQ(ierr); 2697 ierr = PetscSFBcastEnd(sfVert, coordtype, vertexCoords, coords);CHKERRQ(ierr); 2698 #endif 2699 ierr = MPI_Type_free(&coordtype);CHKERRQ(ierr); 2700 } 2701 ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr); 2702 ierr = DMSetCoordinatesLocal(dm, coordinates);CHKERRQ(ierr); 2703 ierr = VecDestroy(&coordinates);CHKERRQ(ierr); 2704 PetscFunctionReturn(0); 2705 } 2706 2707 /*@C 2708 DMPlexCreateFromCellListParallel - This takes as input common mesh generator output, a list of the vertices for each cell, and produces a DM 2709 2710 Input Parameters: 2711 + comm - The communicator 2712 . dim - The topological dimension of the mesh 2713 . numCells - The number of cells owned by this process 2714 . numVertices - The number of vertices owned by this process 2715 . numCorners - The number of vertices for each cell 2716 . interpolate - Flag indicating that intermediate mesh entities (faces, edges) should be created automatically 2717 . cells - An array of numCells*numCorners numbers, the global vertex numbers for each cell 2718 . spaceDim - The spatial dimension used for coordinates 2719 - vertexCoords - An array of numVertices*spaceDim numbers, the coordinates of each vertex 2720 2721 Output Parameter: 2722 + dm - The DM 2723 - vertexSF - Optional, SF describing complete vertex ownership 2724 2725 Note: Two triangles sharing a face 2726 $ 2727 $ 2 2728 $ / | \ 2729 $ / | \ 2730 $ / | \ 2731 $ 0 0 | 1 3 2732 $ \ | / 2733 $ \ | / 2734 $ \ | / 2735 $ 1 2736 would have input 2737 $ numCells = 2, numVertices = 4 2738 $ cells = [0 1 2 1 3 2] 2739 $ 2740 which would result in the DMPlex 2741 $ 2742 $ 4 2743 $ / | \ 2744 $ / | \ 2745 $ / | \ 2746 $ 2 0 | 1 5 2747 $ \ | / 2748 $ \ | / 2749 $ \ | / 2750 $ 3 2751 2752 Level: beginner 2753 2754 .seealso: DMPlexCreateFromCellList(), DMPlexCreateFromDAG(), DMPlexCreate() 2755 @*/ 2756 PetscErrorCode DMPlexCreateFromCellListParallel(MPI_Comm comm, PetscInt dim, PetscInt numCells, PetscInt numVertices, PetscInt numCorners, PetscBool interpolate, const int cells[], PetscInt spaceDim, const PetscReal vertexCoords[], PetscSF *vertexSF, DM *dm) 2757 { 2758 PetscSF sfVert; 2759 PetscErrorCode ierr; 2760 2761 PetscFunctionBegin; 2762 ierr = DMCreate(comm, dm);CHKERRQ(ierr); 2763 ierr = DMSetType(*dm, DMPLEX);CHKERRQ(ierr); 2764 PetscValidLogicalCollectiveInt(*dm, dim, 2); 2765 PetscValidLogicalCollectiveInt(*dm, spaceDim, 8); 2766 ierr = DMSetDimension(*dm, dim);CHKERRQ(ierr); 2767 ierr = DMPlexBuildFromCellList_Parallel_Internal(*dm, spaceDim, numCells, numVertices, numCorners, cells, PETSC_FALSE, &sfVert);CHKERRQ(ierr); 2768 if (interpolate) { 2769 DM idm; 2770 2771 ierr = DMPlexInterpolate(*dm, &idm);CHKERRQ(ierr); 2772 ierr = DMDestroy(dm);CHKERRQ(ierr); 2773 *dm = idm; 2774 } 2775 ierr = DMPlexBuildCoordinates_Parallel_Internal(*dm, spaceDim, numCells, numVertices, sfVert, vertexCoords);CHKERRQ(ierr); 2776 if (vertexSF) *vertexSF = sfVert; 2777 else {ierr = PetscSFDestroy(&sfVert);CHKERRQ(ierr);} 2778 PetscFunctionReturn(0); 2779 } 2780 2781 /* 2782 This takes as input the common mesh generator output, a list of the vertices for each cell 2783 */ 2784 PetscErrorCode DMPlexBuildFromCellList_Internal(DM dm, PetscInt spaceDim, PetscInt numCells, PetscInt numVertices, PetscInt numCorners, const int cells[], PetscBool invertCells) 2785 { 2786 PetscInt *cone, c, p; 2787 PetscErrorCode ierr; 2788 2789 PetscFunctionBegin; 2790 ierr = DMPlexSetChart(dm, 0, numCells+numVertices);CHKERRQ(ierr); 2791 for (c = 0; c < numCells; ++c) { 2792 ierr = DMPlexSetConeSize(dm, c, numCorners);CHKERRQ(ierr); 2793 } 2794 ierr = DMSetUp(dm);CHKERRQ(ierr); 2795 ierr = DMGetWorkArray(dm, numCorners, MPIU_INT, &cone);CHKERRQ(ierr); 2796 for (c = 0; c < numCells; ++c) { 2797 for (p = 0; p < numCorners; ++p) { 2798 cone[p] = cells[c*numCorners+p]+numCells; 2799 } 2800 if (invertCells) { ierr = DMPlexInvertCell_Internal(spaceDim, numCorners, cone);CHKERRQ(ierr); } 2801 ierr = DMPlexSetCone(dm, c, cone);CHKERRQ(ierr); 2802 } 2803 ierr = DMRestoreWorkArray(dm, numCorners, MPIU_INT, &cone);CHKERRQ(ierr); 2804 ierr = DMPlexSymmetrize(dm);CHKERRQ(ierr); 2805 ierr = DMPlexStratify(dm);CHKERRQ(ierr); 2806 PetscFunctionReturn(0); 2807 } 2808 2809 /* 2810 This takes as input the coordinates for each vertex 2811 */ 2812 PetscErrorCode DMPlexBuildCoordinates_Internal(DM dm, PetscInt spaceDim, PetscInt numCells, PetscInt numVertices, const double vertexCoords[]) 2813 { 2814 PetscSection coordSection; 2815 Vec coordinates; 2816 DM cdm; 2817 PetscScalar *coords; 2818 PetscInt v, d; 2819 PetscErrorCode ierr; 2820 2821 PetscFunctionBegin; 2822 ierr = DMSetCoordinateDim(dm, spaceDim);CHKERRQ(ierr); 2823 ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr); 2824 ierr = PetscSectionSetNumFields(coordSection, 1);CHKERRQ(ierr); 2825 ierr = PetscSectionSetFieldComponents(coordSection, 0, spaceDim);CHKERRQ(ierr); 2826 ierr = PetscSectionSetChart(coordSection, numCells, numCells + numVertices);CHKERRQ(ierr); 2827 for (v = numCells; v < numCells+numVertices; ++v) { 2828 ierr = PetscSectionSetDof(coordSection, v, spaceDim);CHKERRQ(ierr); 2829 ierr = PetscSectionSetFieldDof(coordSection, v, 0, spaceDim);CHKERRQ(ierr); 2830 } 2831 ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr); 2832 2833 ierr = DMGetCoordinateDM(dm, &cdm);CHKERRQ(ierr); 2834 ierr = DMCreateLocalVector(cdm, &coordinates);CHKERRQ(ierr); 2835 ierr = VecSetBlockSize(coordinates, spaceDim);CHKERRQ(ierr); 2836 ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr); 2837 ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr); 2838 for (v = 0; v < numVertices; ++v) { 2839 for (d = 0; d < spaceDim; ++d) { 2840 coords[v*spaceDim+d] = vertexCoords[v*spaceDim+d]; 2841 } 2842 } 2843 ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr); 2844 ierr = DMSetCoordinatesLocal(dm, coordinates);CHKERRQ(ierr); 2845 ierr = VecDestroy(&coordinates);CHKERRQ(ierr); 2846 PetscFunctionReturn(0); 2847 } 2848 2849 /*@C 2850 DMPlexCreateFromCellList - This takes as input common mesh generator output, a list of the vertices for each cell, and produces a DM 2851 2852 Input Parameters: 2853 + comm - The communicator 2854 . dim - The topological dimension of the mesh 2855 . numCells - The number of cells 2856 . numVertices - The number of vertices 2857 . numCorners - The number of vertices for each cell 2858 . interpolate - Flag indicating that intermediate mesh entities (faces, edges) should be created automatically 2859 . cells - An array of numCells*numCorners numbers, the vertices for each cell 2860 . spaceDim - The spatial dimension used for coordinates 2861 - vertexCoords - An array of numVertices*spaceDim numbers, the coordinates of each vertex 2862 2863 Output Parameter: 2864 . dm - The DM 2865 2866 Note: Two triangles sharing a face 2867 $ 2868 $ 2 2869 $ / | \ 2870 $ / | \ 2871 $ / | \ 2872 $ 0 0 | 1 3 2873 $ \ | / 2874 $ \ | / 2875 $ \ | / 2876 $ 1 2877 would have input 2878 $ numCells = 2, numVertices = 4 2879 $ cells = [0 1 2 1 3 2] 2880 $ 2881 which would result in the DMPlex 2882 $ 2883 $ 4 2884 $ / | \ 2885 $ / | \ 2886 $ / | \ 2887 $ 2 0 | 1 5 2888 $ \ | / 2889 $ \ | / 2890 $ \ | / 2891 $ 3 2892 2893 Level: beginner 2894 2895 .seealso: DMPlexCreateFromDAG(), DMPlexCreate() 2896 @*/ 2897 PetscErrorCode DMPlexCreateFromCellList(MPI_Comm comm, PetscInt dim, PetscInt numCells, PetscInt numVertices, PetscInt numCorners, PetscBool interpolate, const int cells[], PetscInt spaceDim, const double vertexCoords[], DM *dm) 2898 { 2899 PetscErrorCode ierr; 2900 2901 PetscFunctionBegin; 2902 ierr = DMCreate(comm, dm);CHKERRQ(ierr); 2903 ierr = DMSetType(*dm, DMPLEX);CHKERRQ(ierr); 2904 ierr = DMSetDimension(*dm, dim);CHKERRQ(ierr); 2905 ierr = DMPlexBuildFromCellList_Internal(*dm, spaceDim, numCells, numVertices, numCorners, cells, PETSC_FALSE);CHKERRQ(ierr); 2906 if (interpolate) { 2907 DM idm; 2908 2909 ierr = DMPlexInterpolate(*dm, &idm);CHKERRQ(ierr); 2910 ierr = DMDestroy(dm);CHKERRQ(ierr); 2911 *dm = idm; 2912 } 2913 ierr = DMPlexBuildCoordinates_Internal(*dm, spaceDim, numCells, numVertices, vertexCoords);CHKERRQ(ierr); 2914 PetscFunctionReturn(0); 2915 } 2916 2917 /*@ 2918 DMPlexCreateFromDAG - This takes as input the adjacency-list representation of the Directed Acyclic Graph (Hasse Diagram) encoding a mesh, and produces a DM 2919 2920 Input Parameters: 2921 + dm - The empty DM object, usually from DMCreate() and DMSetDimension() 2922 . depth - The depth of the DAG 2923 . numPoints - The number of points at each depth 2924 . coneSize - The cone size of each point 2925 . cones - The concatenation of the cone points for each point, the cone list must be oriented correctly for each point 2926 . coneOrientations - The orientation of each cone point 2927 - vertexCoords - An array of numVertices*dim numbers, the coordinates of each vertex 2928 2929 Output Parameter: 2930 . dm - The DM 2931 2932 Note: Two triangles sharing a face would have input 2933 $ depth = 1, numPoints = [4 2], coneSize = [3 3 0 0 0 0] 2934 $ cones = [2 3 4 3 5 4], coneOrientations = [0 0 0 0 0 0] 2935 $ vertexCoords = [-1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0] 2936 $ 2937 which would result in the DMPlex 2938 $ 2939 $ 4 2940 $ / | \ 2941 $ / | \ 2942 $ / | \ 2943 $ 2 0 | 1 5 2944 $ \ | / 2945 $ \ | / 2946 $ \ | / 2947 $ 3 2948 $ 2949 $ Notice that all points are numbered consecutively, unlikely DMPlexCreateFromCellList() 2950 2951 Level: advanced 2952 2953 .seealso: DMPlexCreateFromCellList(), DMPlexCreate() 2954 @*/ 2955 PetscErrorCode DMPlexCreateFromDAG(DM dm, PetscInt depth, const PetscInt numPoints[], const PetscInt coneSize[], const PetscInt cones[], const PetscInt coneOrientations[], const PetscScalar vertexCoords[]) 2956 { 2957 Vec coordinates; 2958 PetscSection coordSection; 2959 PetscScalar *coords; 2960 PetscInt coordSize, firstVertex = -1, pStart = 0, pEnd = 0, p, v, dim, dimEmbed, d, off; 2961 PetscErrorCode ierr; 2962 2963 PetscFunctionBegin; 2964 ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr); 2965 ierr = DMGetCoordinateDim(dm, &dimEmbed);CHKERRQ(ierr); 2966 if (dimEmbed < dim) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Embedding dimension %d cannot be less than intrinsic dimension %d",dimEmbed,dim); 2967 for (d = 0; d <= depth; ++d) pEnd += numPoints[d]; 2968 ierr = DMPlexSetChart(dm, pStart, pEnd);CHKERRQ(ierr); 2969 for (p = pStart; p < pEnd; ++p) { 2970 ierr = DMPlexSetConeSize(dm, p, coneSize[p-pStart]);CHKERRQ(ierr); 2971 if (firstVertex < 0 && !coneSize[p - pStart]) { 2972 firstVertex = p - pStart; 2973 } 2974 } 2975 if (firstVertex < 0 && numPoints[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Expected %d vertices but could not find any", numPoints[0]); 2976 ierr = DMSetUp(dm);CHKERRQ(ierr); /* Allocate space for cones */ 2977 for (p = pStart, off = 0; p < pEnd; off += coneSize[p-pStart], ++p) { 2978 ierr = DMPlexSetCone(dm, p, &cones[off]);CHKERRQ(ierr); 2979 ierr = DMPlexSetConeOrientation(dm, p, &coneOrientations[off]);CHKERRQ(ierr); 2980 } 2981 ierr = DMPlexSymmetrize(dm);CHKERRQ(ierr); 2982 ierr = DMPlexStratify(dm);CHKERRQ(ierr); 2983 /* Build coordinates */ 2984 ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr); 2985 ierr = PetscSectionSetNumFields(coordSection, 1);CHKERRQ(ierr); 2986 ierr = PetscSectionSetFieldComponents(coordSection, 0, dimEmbed);CHKERRQ(ierr); 2987 ierr = PetscSectionSetChart(coordSection, firstVertex, firstVertex+numPoints[0]);CHKERRQ(ierr); 2988 for (v = firstVertex; v < firstVertex+numPoints[0]; ++v) { 2989 ierr = PetscSectionSetDof(coordSection, v, dimEmbed);CHKERRQ(ierr); 2990 ierr = PetscSectionSetFieldDof(coordSection, v, 0, dimEmbed);CHKERRQ(ierr); 2991 } 2992 ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr); 2993 ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr); 2994 ierr = VecCreate(PETSC_COMM_SELF, &coordinates);CHKERRQ(ierr); 2995 ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr); 2996 ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr); 2997 ierr = VecSetBlockSize(coordinates, dimEmbed);CHKERRQ(ierr); 2998 ierr = VecSetType(coordinates,VECSTANDARD);CHKERRQ(ierr); 2999 ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr); 3000 for (v = 0; v < numPoints[0]; ++v) { 3001 PetscInt off; 3002 3003 ierr = PetscSectionGetOffset(coordSection, v+firstVertex, &off);CHKERRQ(ierr); 3004 for (d = 0; d < dimEmbed; ++d) { 3005 coords[off+d] = vertexCoords[v*dimEmbed+d]; 3006 } 3007 } 3008 ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr); 3009 ierr = DMSetCoordinatesLocal(dm, coordinates);CHKERRQ(ierr); 3010 ierr = VecDestroy(&coordinates);CHKERRQ(ierr); 3011 PetscFunctionReturn(0); 3012 } 3013 3014 /*@C 3015 DMPlexCreateCellVertexFromFile - Create a DMPlex mesh from a simple cell-vertex file. 3016 3017 + comm - The MPI communicator 3018 . filename - Name of the .dat file 3019 - interpolate - Create faces and edges in the mesh 3020 3021 Output Parameter: 3022 . dm - The DM object representing the mesh 3023 3024 Note: The format is the simplest possible: 3025 $ Ne 3026 $ v0 v1 ... vk 3027 $ Nv 3028 $ x y z marker 3029 3030 Level: beginner 3031 3032 .seealso: DMPlexCreateFromFile(), DMPlexCreateMedFromFile(), DMPlexCreateGmsh(), DMPlexCreate() 3033 @*/ 3034 PetscErrorCode DMPlexCreateCellVertexFromFile(MPI_Comm comm, const char filename[], PetscBool interpolate, DM *dm) 3035 { 3036 DMLabel marker; 3037 PetscViewer viewer; 3038 Vec coordinates; 3039 PetscSection coordSection; 3040 PetscScalar *coords; 3041 char line[PETSC_MAX_PATH_LEN]; 3042 PetscInt dim = 3, cdim = 3, coordSize, v, c, d; 3043 PetscMPIInt rank; 3044 int snum, Nv, Nc; 3045 PetscErrorCode ierr; 3046 3047 PetscFunctionBegin; 3048 ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr); 3049 ierr = PetscViewerCreate(comm, &viewer);CHKERRQ(ierr); 3050 ierr = PetscViewerSetType(viewer, PETSCVIEWERASCII);CHKERRQ(ierr); 3051 ierr = PetscViewerFileSetMode(viewer, FILE_MODE_READ);CHKERRQ(ierr); 3052 ierr = PetscViewerFileSetName(viewer, filename);CHKERRQ(ierr); 3053 if (!rank) { 3054 ierr = PetscViewerRead(viewer, line, 2, NULL, PETSC_STRING);CHKERRQ(ierr); 3055 snum = sscanf(line, "%d %d", &Nc, &Nv); 3056 if (snum != 2) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unable to parse cell-vertex file: %s", line); 3057 } else { 3058 Nc = Nv = 0; 3059 } 3060 ierr = DMCreate(comm, dm);CHKERRQ(ierr); 3061 ierr = DMSetType(*dm, DMPLEX);CHKERRQ(ierr); 3062 ierr = DMPlexSetChart(*dm, 0, Nc+Nv);CHKERRQ(ierr); 3063 ierr = DMSetDimension(*dm, dim);CHKERRQ(ierr); 3064 ierr = DMSetCoordinateDim(*dm, cdim);CHKERRQ(ierr); 3065 /* Read topology */ 3066 if (!rank) { 3067 PetscInt cone[8], corners = 8; 3068 int vbuf[8], v; 3069 3070 for (c = 0; c < Nc; ++c) {ierr = DMPlexSetConeSize(*dm, c, corners);CHKERRQ(ierr);} 3071 ierr = DMSetUp(*dm);CHKERRQ(ierr); 3072 for (c = 0; c < Nc; ++c) { 3073 ierr = PetscViewerRead(viewer, line, corners, NULL, PETSC_STRING);CHKERRQ(ierr); 3074 snum = sscanf(line, "%d %d %d %d %d %d %d %d", &vbuf[0], &vbuf[1], &vbuf[2], &vbuf[3], &vbuf[4], &vbuf[5], &vbuf[6], &vbuf[7]); 3075 if (snum != corners) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unable to parse cell-vertex file: %s", line); 3076 for (v = 0; v < corners; ++v) cone[v] = vbuf[v] + Nc; 3077 /* Hexahedra are inverted */ 3078 { 3079 PetscInt tmp = cone[1]; 3080 cone[1] = cone[3]; 3081 cone[3] = tmp; 3082 } 3083 ierr = DMPlexSetCone(*dm, c, cone);CHKERRQ(ierr); 3084 } 3085 } 3086 ierr = DMPlexSymmetrize(*dm);CHKERRQ(ierr); 3087 ierr = DMPlexStratify(*dm);CHKERRQ(ierr); 3088 /* Read coordinates */ 3089 ierr = DMGetCoordinateSection(*dm, &coordSection);CHKERRQ(ierr); 3090 ierr = PetscSectionSetNumFields(coordSection, 1);CHKERRQ(ierr); 3091 ierr = PetscSectionSetFieldComponents(coordSection, 0, cdim);CHKERRQ(ierr); 3092 ierr = PetscSectionSetChart(coordSection, Nc, Nc + Nv);CHKERRQ(ierr); 3093 for (v = Nc; v < Nc+Nv; ++v) { 3094 ierr = PetscSectionSetDof(coordSection, v, cdim);CHKERRQ(ierr); 3095 ierr = PetscSectionSetFieldDof(coordSection, v, 0, cdim);CHKERRQ(ierr); 3096 } 3097 ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr); 3098 ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr); 3099 ierr = VecCreate(PETSC_COMM_SELF, &coordinates);CHKERRQ(ierr); 3100 ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr); 3101 ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr); 3102 ierr = VecSetBlockSize(coordinates, cdim);CHKERRQ(ierr); 3103 ierr = VecSetType(coordinates, VECSTANDARD);CHKERRQ(ierr); 3104 ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr); 3105 if (!rank) { 3106 double x[3]; 3107 int val; 3108 3109 ierr = DMCreateLabel(*dm, "marker");CHKERRQ(ierr); 3110 ierr = DMGetLabel(*dm, "marker", &marker);CHKERRQ(ierr); 3111 for (v = 0; v < Nv; ++v) { 3112 ierr = PetscViewerRead(viewer, line, 4, NULL, PETSC_STRING);CHKERRQ(ierr); 3113 snum = sscanf(line, "%lg %lg %lg %d", &x[0], &x[1], &x[2], &val); 3114 if (snum != 4) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unable to parse cell-vertex file: %s", line); 3115 for (d = 0; d < cdim; ++d) coords[v*cdim+d] = x[d]; 3116 if (val) {ierr = DMLabelSetValue(marker, v+Nc, val);CHKERRQ(ierr);} 3117 } 3118 } 3119 ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr); 3120 ierr = DMSetCoordinatesLocal(*dm, coordinates);CHKERRQ(ierr); 3121 ierr = VecDestroy(&coordinates);CHKERRQ(ierr); 3122 ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr); 3123 if (interpolate) { 3124 DM idm; 3125 DMLabel bdlabel; 3126 3127 ierr = DMPlexInterpolate(*dm, &idm);CHKERRQ(ierr); 3128 ierr = DMDestroy(dm);CHKERRQ(ierr); 3129 *dm = idm; 3130 3131 ierr = DMGetLabel(*dm, "marker", &bdlabel);CHKERRQ(ierr); 3132 ierr = DMPlexMarkBoundaryFaces(*dm, PETSC_DETERMINE, bdlabel);CHKERRQ(ierr); 3133 ierr = DMPlexLabelComplete(*dm, bdlabel);CHKERRQ(ierr); 3134 } 3135 PetscFunctionReturn(0); 3136 } 3137 3138 /*@C 3139 DMPlexCreateFromFile - This takes a filename and produces a DM 3140 3141 Input Parameters: 3142 + comm - The communicator 3143 . filename - A file name 3144 - interpolate - Flag to create intermediate mesh pieces (edges, faces) 3145 3146 Output Parameter: 3147 . dm - The DM 3148 3149 Options Database Keys: 3150 . -dm_plex_create_from_hdf5_xdmf - use the PETSC_VIEWER_HDF5_XDMF format for reading HDF5 3151 3152 Level: beginner 3153 3154 .seealso: DMPlexCreateFromDAG(), DMPlexCreateFromCellList(), DMPlexCreate() 3155 @*/ 3156 PetscErrorCode DMPlexCreateFromFile(MPI_Comm comm, const char filename[], PetscBool interpolate, DM *dm) 3157 { 3158 const char *extGmsh = ".msh"; 3159 const char *extCGNS = ".cgns"; 3160 const char *extExodus = ".exo"; 3161 const char *extGenesis = ".gen"; 3162 const char *extFluent = ".cas"; 3163 const char *extHDF5 = ".h5"; 3164 const char *extMed = ".med"; 3165 const char *extPLY = ".ply"; 3166 const char *extCV = ".dat"; 3167 size_t len; 3168 PetscBool isGmsh, isCGNS, isExodus, isGenesis, isFluent, isHDF5, isMed, isPLY, isCV; 3169 PetscMPIInt rank; 3170 PetscErrorCode ierr; 3171 3172 PetscFunctionBegin; 3173 PetscValidPointer(filename, 2); 3174 PetscValidPointer(dm, 4); 3175 ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr); 3176 ierr = PetscStrlen(filename, &len);CHKERRQ(ierr); 3177 if (!len) SETERRQ(comm, PETSC_ERR_ARG_WRONG, "Filename must be a valid path"); 3178 ierr = PetscStrncmp(&filename[PetscMax(0,len-4)], extGmsh, 4, &isGmsh);CHKERRQ(ierr); 3179 ierr = PetscStrncmp(&filename[PetscMax(0,len-5)], extCGNS, 5, &isCGNS);CHKERRQ(ierr); 3180 ierr = PetscStrncmp(&filename[PetscMax(0,len-4)], extExodus, 4, &isExodus);CHKERRQ(ierr); 3181 ierr = PetscStrncmp(&filename[PetscMax(0,len-4)], extGenesis, 4, &isGenesis);CHKERRQ(ierr); 3182 ierr = PetscStrncmp(&filename[PetscMax(0,len-4)], extFluent, 4, &isFluent);CHKERRQ(ierr); 3183 ierr = PetscStrncmp(&filename[PetscMax(0,len-3)], extHDF5, 3, &isHDF5);CHKERRQ(ierr); 3184 ierr = PetscStrncmp(&filename[PetscMax(0,len-4)], extMed, 4, &isMed);CHKERRQ(ierr); 3185 ierr = PetscStrncmp(&filename[PetscMax(0,len-4)], extPLY, 4, &isPLY);CHKERRQ(ierr); 3186 ierr = PetscStrncmp(&filename[PetscMax(0,len-4)], extCV, 4, &isCV);CHKERRQ(ierr); 3187 if (isGmsh) { 3188 ierr = DMPlexCreateGmshFromFile(comm, filename, interpolate, dm);CHKERRQ(ierr); 3189 } else if (isCGNS) { 3190 ierr = DMPlexCreateCGNSFromFile(comm, filename, interpolate, dm);CHKERRQ(ierr); 3191 } else if (isExodus || isGenesis) { 3192 ierr = DMPlexCreateExodusFromFile(comm, filename, interpolate, dm);CHKERRQ(ierr); 3193 } else if (isFluent) { 3194 ierr = DMPlexCreateFluentFromFile(comm, filename, interpolate, dm);CHKERRQ(ierr); 3195 } else if (isHDF5) { 3196 PetscBool load_hdf5_xdmf = PETSC_FALSE; 3197 PetscViewer viewer; 3198 3199 ierr = PetscOptionsGetBool(NULL, NULL, "-dm_plex_create_from_hdf5_xdmf", &load_hdf5_xdmf, NULL);CHKERRQ(ierr); 3200 ierr = PetscViewerCreate(comm, &viewer);CHKERRQ(ierr); 3201 ierr = PetscViewerSetType(viewer, PETSCVIEWERHDF5);CHKERRQ(ierr); 3202 ierr = PetscViewerFileSetMode(viewer, FILE_MODE_READ);CHKERRQ(ierr); 3203 ierr = PetscViewerFileSetName(viewer, filename);CHKERRQ(ierr); 3204 ierr = DMCreate(comm, dm);CHKERRQ(ierr); 3205 ierr = DMSetType(*dm, DMPLEX);CHKERRQ(ierr); 3206 if (load_hdf5_xdmf) {ierr = PetscViewerPushFormat(viewer, PETSC_VIEWER_HDF5_XDMF);CHKERRQ(ierr);} 3207 ierr = DMLoad(*dm, viewer);CHKERRQ(ierr); 3208 if (load_hdf5_xdmf) {ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);} 3209 ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr); 3210 3211 if (interpolate) { 3212 DM idm; 3213 3214 ierr = DMPlexInterpolate(*dm, &idm);CHKERRQ(ierr); 3215 ierr = DMDestroy(dm);CHKERRQ(ierr); 3216 *dm = idm; 3217 } 3218 } else if (isMed) { 3219 ierr = DMPlexCreateMedFromFile(comm, filename, interpolate, dm);CHKERRQ(ierr); 3220 } else if (isPLY) { 3221 ierr = DMPlexCreatePLYFromFile(comm, filename, interpolate, dm);CHKERRQ(ierr); 3222 } else if (isCV) { 3223 ierr = DMPlexCreateCellVertexFromFile(comm, filename, interpolate, dm);CHKERRQ(ierr); 3224 } else SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cannot load file %s: unrecognized extension", filename); 3225 PetscFunctionReturn(0); 3226 } 3227 3228 /*@ 3229 DMPlexCreateReferenceCell - Create a DMPLEX with the appropriate FEM reference cell 3230 3231 Collective on comm 3232 3233 Input Parameters: 3234 + comm - The communicator 3235 . dim - The spatial dimension 3236 - simplex - Flag for simplex, otherwise use a tensor-product cell 3237 3238 Output Parameter: 3239 . refdm - The reference cell 3240 3241 Level: intermediate 3242 3243 .keywords: reference cell 3244 .seealso: 3245 @*/ 3246 PetscErrorCode DMPlexCreateReferenceCell(MPI_Comm comm, PetscInt dim, PetscBool simplex, DM *refdm) 3247 { 3248 DM rdm; 3249 Vec coords; 3250 PetscErrorCode ierr; 3251 3252 PetscFunctionBeginUser; 3253 ierr = DMCreate(comm, &rdm);CHKERRQ(ierr); 3254 ierr = DMSetType(rdm, DMPLEX);CHKERRQ(ierr); 3255 ierr = DMSetDimension(rdm, dim);CHKERRQ(ierr); 3256 switch (dim) { 3257 case 0: 3258 { 3259 PetscInt numPoints[1] = {1}; 3260 PetscInt coneSize[1] = {0}; 3261 PetscInt cones[1] = {0}; 3262 PetscInt coneOrientations[1] = {0}; 3263 PetscScalar vertexCoords[1] = {0.0}; 3264 3265 ierr = DMPlexCreateFromDAG(rdm, 0, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr); 3266 } 3267 break; 3268 case 1: 3269 { 3270 PetscInt numPoints[2] = {2, 1}; 3271 PetscInt coneSize[3] = {2, 0, 0}; 3272 PetscInt cones[2] = {1, 2}; 3273 PetscInt coneOrientations[2] = {0, 0}; 3274 PetscScalar vertexCoords[2] = {-1.0, 1.0}; 3275 3276 ierr = DMPlexCreateFromDAG(rdm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr); 3277 } 3278 break; 3279 case 2: 3280 if (simplex) { 3281 PetscInt numPoints[2] = {3, 1}; 3282 PetscInt coneSize[4] = {3, 0, 0, 0}; 3283 PetscInt cones[3] = {1, 2, 3}; 3284 PetscInt coneOrientations[3] = {0, 0, 0}; 3285 PetscScalar vertexCoords[6] = {-1.0, -1.0, 1.0, -1.0, -1.0, 1.0}; 3286 3287 ierr = DMPlexCreateFromDAG(rdm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr); 3288 } else { 3289 PetscInt numPoints[2] = {4, 1}; 3290 PetscInt coneSize[5] = {4, 0, 0, 0, 0}; 3291 PetscInt cones[4] = {1, 2, 3, 4}; 3292 PetscInt coneOrientations[4] = {0, 0, 0, 0}; 3293 PetscScalar vertexCoords[8] = {-1.0, -1.0, 1.0, -1.0, 1.0, 1.0, -1.0, 1.0}; 3294 3295 ierr = DMPlexCreateFromDAG(rdm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr); 3296 } 3297 break; 3298 case 3: 3299 if (simplex) { 3300 PetscInt numPoints[2] = {4, 1}; 3301 PetscInt coneSize[5] = {4, 0, 0, 0, 0}; 3302 PetscInt cones[4] = {1, 3, 2, 4}; 3303 PetscInt coneOrientations[4] = {0, 0, 0, 0}; 3304 PetscScalar vertexCoords[12] = {-1.0, -1.0, -1.0, 1.0, -1.0, -1.0, -1.0, 1.0, -1.0, -1.0, -1.0, 1.0}; 3305 3306 ierr = DMPlexCreateFromDAG(rdm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr); 3307 } else { 3308 PetscInt numPoints[2] = {8, 1}; 3309 PetscInt coneSize[9] = {8, 0, 0, 0, 0, 0, 0, 0, 0}; 3310 PetscInt cones[8] = {1, 4, 3, 2, 5, 6, 7, 8}; 3311 PetscInt coneOrientations[8] = {0, 0, 0, 0, 0, 0, 0, 0}; 3312 PetscScalar vertexCoords[24] = {-1.0, -1.0, -1.0, 1.0, -1.0, -1.0, 1.0, 1.0, -1.0, -1.0, 1.0, -1.0, 3313 -1.0, -1.0, 1.0, 1.0, -1.0, 1.0, 1.0, 1.0, 1.0, -1.0, 1.0, 1.0}; 3314 3315 ierr = DMPlexCreateFromDAG(rdm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr); 3316 } 3317 break; 3318 default: 3319 SETERRQ1(comm, PETSC_ERR_ARG_WRONG, "Cannot create reference cell for dimension %d", dim); 3320 } 3321 ierr = DMPlexInterpolate(rdm, refdm);CHKERRQ(ierr); 3322 if (rdm->coordinateDM) { 3323 DM ncdm; 3324 PetscSection cs; 3325 PetscInt pEnd = -1; 3326 3327 ierr = DMGetDefaultSection(rdm->coordinateDM, &cs);CHKERRQ(ierr); 3328 if (cs) {ierr = PetscSectionGetChart(cs, NULL, &pEnd);CHKERRQ(ierr);} 3329 if (pEnd >= 0) { 3330 ierr = DMClone(rdm->coordinateDM, &ncdm);CHKERRQ(ierr); 3331 ierr = DMSetDefaultSection(ncdm, cs);CHKERRQ(ierr); 3332 ierr = DMSetCoordinateDM(*refdm, ncdm);CHKERRQ(ierr); 3333 ierr = DMDestroy(&ncdm);CHKERRQ(ierr); 3334 } 3335 } 3336 ierr = DMGetCoordinatesLocal(rdm, &coords);CHKERRQ(ierr); 3337 if (coords) { 3338 ierr = DMSetCoordinatesLocal(*refdm, coords);CHKERRQ(ierr); 3339 } else { 3340 ierr = DMGetCoordinates(rdm, &coords);CHKERRQ(ierr); 3341 if (coords) {ierr = DMSetCoordinates(*refdm, coords);CHKERRQ(ierr);} 3342 } 3343 ierr = DMDestroy(&rdm);CHKERRQ(ierr); 3344 PetscFunctionReturn(0); 3345 } 3346