1 #define PETSCDM_DLL 2 #include <petsc/private/dmpleximpl.h> /*I "petscdmplex.h" I*/ 3 #include <petscdmda.h> 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 /*@C 1036 DMPlexSetOptionsPrefix - Sets the prefix used for searching for all DM options in the database. 1037 1038 Logically Collective on DM 1039 1040 Input Parameters: 1041 + dm - the DM context 1042 - prefix - the prefix to prepend to all option names 1043 1044 Notes: 1045 A hyphen (-) must NOT be given at the beginning of the prefix name. 1046 The first character of all runtime options is AUTOMATICALLY the hyphen. 1047 1048 Level: advanced 1049 1050 .seealso: SNESSetFromOptions() 1051 @*/ 1052 PetscErrorCode DMPlexSetOptionsPrefix(DM dm, const char prefix[]) 1053 { 1054 DM_Plex *mesh = (DM_Plex *) dm->data; 1055 PetscErrorCode ierr; 1056 1057 PetscFunctionBegin; 1058 PetscValidHeaderSpecific(dm, DM_CLASSID, 1); 1059 ierr = PetscObjectSetOptionsPrefix((PetscObject) dm, prefix);CHKERRQ(ierr); 1060 ierr = PetscObjectSetOptionsPrefix((PetscObject) mesh->partitioner, prefix);CHKERRQ(ierr); 1061 PetscFunctionReturn(0); 1062 } 1063 1064 /*@ 1065 DMPlexCreateHexCylinderMesh - Creates a mesh on the tensor product of the unit interval with the circle (cylinder) using hexahedra. 1066 1067 Collective on MPI_Comm 1068 1069 Input Parameters: 1070 + comm - The communicator for the DM object 1071 . numRefine - The number of regular refinements to the basic 5 cell structure 1072 - periodicZ - The boundary type for the Z direction 1073 1074 Output Parameter: 1075 . dm - The DM object 1076 1077 Note: Here is the output numbering looking from the bottom of the cylinder: 1078 $ 17-----14 1079 $ | | 1080 $ | 2 | 1081 $ | | 1082 $ 17-----8-----7-----14 1083 $ | | | | 1084 $ | 3 | 0 | 1 | 1085 $ | | | | 1086 $ 19-----5-----6-----13 1087 $ | | 1088 $ | 4 | 1089 $ | | 1090 $ 19-----13 1091 $ 1092 $ and up through the top 1093 $ 1094 $ 18-----16 1095 $ | | 1096 $ | 2 | 1097 $ | | 1098 $ 18----10----11-----16 1099 $ | | | | 1100 $ | 3 | 0 | 1 | 1101 $ | | | | 1102 $ 20-----9----12-----15 1103 $ | | 1104 $ | 4 | 1105 $ | | 1106 $ 20-----15 1107 1108 Level: beginner 1109 1110 .keywords: DM, create 1111 .seealso: DMPlexCreateBoxMesh(), DMSetType(), DMCreate() 1112 @*/ 1113 PetscErrorCode DMPlexCreateHexCylinderMesh(MPI_Comm comm, PetscInt numRefine, DMBoundaryType periodicZ, DM *dm) 1114 { 1115 const PetscInt dim = 3; 1116 PetscInt numCells, numVertices, r; 1117 PetscMPIInt rank; 1118 PetscErrorCode ierr; 1119 1120 PetscFunctionBegin; 1121 PetscValidPointer(dm, 4); 1122 ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr); 1123 if (numRefine < 0) SETERRQ1(comm, PETSC_ERR_ARG_OUTOFRANGE, "Number of refinements %D cannot be negative", numRefine); 1124 ierr = DMCreate(comm, dm);CHKERRQ(ierr); 1125 ierr = DMSetType(*dm, DMPLEX);CHKERRQ(ierr); 1126 ierr = DMSetDimension(*dm, dim);CHKERRQ(ierr); 1127 /* Create topology */ 1128 { 1129 PetscInt cone[8], c; 1130 1131 numCells = !rank ? 5 : 0; 1132 numVertices = !rank ? 16 : 0; 1133 if (periodicZ == DM_BOUNDARY_PERIODIC) { 1134 numCells *= 3; 1135 numVertices = !rank ? 24 : 0; 1136 } 1137 ierr = DMPlexSetChart(*dm, 0, numCells+numVertices);CHKERRQ(ierr); 1138 for (c = 0; c < numCells; c++) {ierr = DMPlexSetConeSize(*dm, c, 8);CHKERRQ(ierr);} 1139 ierr = DMSetUp(*dm);CHKERRQ(ierr); 1140 if (!rank) { 1141 if (periodicZ == DM_BOUNDARY_PERIODIC) { 1142 cone[0] = 15; cone[1] = 18; cone[2] = 17; cone[3] = 16; 1143 cone[4] = 31; cone[5] = 32; cone[6] = 33; cone[7] = 34; 1144 ierr = DMPlexSetCone(*dm, 0, cone);CHKERRQ(ierr); 1145 cone[0] = 16; cone[1] = 17; cone[2] = 24; cone[3] = 23; 1146 cone[4] = 32; cone[5] = 36; cone[6] = 37; cone[7] = 33; /* 22 25 26 21 */ 1147 ierr = DMPlexSetCone(*dm, 1, cone);CHKERRQ(ierr); 1148 cone[0] = 18; cone[1] = 27; cone[2] = 24; cone[3] = 17; 1149 cone[4] = 34; cone[5] = 33; cone[6] = 37; cone[7] = 38; 1150 ierr = DMPlexSetCone(*dm, 2, cone);CHKERRQ(ierr); 1151 cone[0] = 29; cone[1] = 27; cone[2] = 18; cone[3] = 15; 1152 cone[4] = 35; cone[5] = 31; cone[6] = 34; cone[7] = 38; 1153 ierr = DMPlexSetCone(*dm, 3, cone);CHKERRQ(ierr); 1154 cone[0] = 29; cone[1] = 15; cone[2] = 16; cone[3] = 23; 1155 cone[4] = 35; cone[5] = 36; cone[6] = 32; cone[7] = 31; 1156 ierr = DMPlexSetCone(*dm, 4, cone);CHKERRQ(ierr); 1157 1158 cone[0] = 31; cone[1] = 34; cone[2] = 33; cone[3] = 32; 1159 cone[4] = 19; cone[5] = 22; cone[6] = 21; cone[7] = 20; 1160 ierr = DMPlexSetCone(*dm, 5, cone);CHKERRQ(ierr); 1161 cone[0] = 32; cone[1] = 33; cone[2] = 37; cone[3] = 36; 1162 cone[4] = 22; cone[5] = 25; cone[6] = 26; cone[7] = 21; 1163 ierr = DMPlexSetCone(*dm, 6, cone);CHKERRQ(ierr); 1164 cone[0] = 34; cone[1] = 38; cone[2] = 37; cone[3] = 33; 1165 cone[4] = 20; cone[5] = 21; cone[6] = 26; cone[7] = 28; 1166 ierr = DMPlexSetCone(*dm, 7, cone);CHKERRQ(ierr); 1167 cone[0] = 35; cone[1] = 38; cone[2] = 34; cone[3] = 31; 1168 cone[4] = 30; cone[5] = 19; cone[6] = 20; cone[7] = 28; 1169 ierr = DMPlexSetCone(*dm, 8, cone);CHKERRQ(ierr); 1170 cone[0] = 35; cone[1] = 31; cone[2] = 32; cone[3] = 36; 1171 cone[4] = 30; cone[5] = 25; cone[6] = 22; cone[7] = 19; 1172 ierr = DMPlexSetCone(*dm, 9, cone);CHKERRQ(ierr); 1173 1174 cone[0] = 19; cone[1] = 20; cone[2] = 21; cone[3] = 22; 1175 cone[4] = 15; cone[5] = 16; cone[6] = 17; cone[7] = 18; 1176 ierr = DMPlexSetCone(*dm, 10, cone);CHKERRQ(ierr); 1177 cone[0] = 22; cone[1] = 21; cone[2] = 26; cone[3] = 25; 1178 cone[4] = 16; cone[5] = 23; cone[6] = 24; cone[7] = 17; 1179 ierr = DMPlexSetCone(*dm, 11, cone);CHKERRQ(ierr); 1180 cone[0] = 20; cone[1] = 28; cone[2] = 26; cone[3] = 21; 1181 cone[4] = 18; cone[5] = 17; cone[6] = 24; cone[7] = 27; 1182 ierr = DMPlexSetCone(*dm, 12, cone);CHKERRQ(ierr); 1183 cone[0] = 30; cone[1] = 28; cone[2] = 20; cone[3] = 19; 1184 cone[4] = 29; cone[5] = 15; cone[6] = 18; cone[7] = 27; 1185 ierr = DMPlexSetCone(*dm, 13, cone);CHKERRQ(ierr); 1186 cone[0] = 30; cone[1] = 19; cone[2] = 22; cone[3] = 25; 1187 cone[4] = 29; cone[5] = 23; cone[6] = 16; cone[7] = 15; 1188 ierr = DMPlexSetCone(*dm, 14, cone);CHKERRQ(ierr); 1189 } else { 1190 cone[0] = 5; cone[1] = 8; cone[2] = 7; cone[3] = 6; 1191 cone[4] = 9; cone[5] = 12; cone[6] = 11; cone[7] = 10; 1192 ierr = DMPlexSetCone(*dm, 0, cone);CHKERRQ(ierr); 1193 cone[0] = 6; cone[1] = 7; cone[2] = 14; cone[3] = 13; 1194 cone[4] = 12; cone[5] = 15; cone[6] = 16; cone[7] = 11; 1195 ierr = DMPlexSetCone(*dm, 1, cone);CHKERRQ(ierr); 1196 cone[0] = 8; cone[1] = 17; cone[2] = 14; cone[3] = 7; 1197 cone[4] = 10; cone[5] = 11; cone[6] = 16; cone[7] = 18; 1198 ierr = DMPlexSetCone(*dm, 2, cone);CHKERRQ(ierr); 1199 cone[0] = 19; cone[1] = 17; cone[2] = 8; cone[3] = 5; 1200 cone[4] = 20; cone[5] = 9; cone[6] = 10; cone[7] = 18; 1201 ierr = DMPlexSetCone(*dm, 3, cone);CHKERRQ(ierr); 1202 cone[0] = 19; cone[1] = 5; cone[2] = 6; cone[3] = 13; 1203 cone[4] = 20; cone[5] = 15; cone[6] = 12; cone[7] = 9; 1204 ierr = DMPlexSetCone(*dm, 4, cone);CHKERRQ(ierr); 1205 } 1206 } 1207 ierr = DMPlexSymmetrize(*dm);CHKERRQ(ierr); 1208 ierr = DMPlexStratify(*dm);CHKERRQ(ierr); 1209 } 1210 /* Interpolate */ 1211 { 1212 DM idm; 1213 1214 ierr = DMPlexInterpolate(*dm, &idm);CHKERRQ(ierr); 1215 ierr = DMDestroy(dm);CHKERRQ(ierr); 1216 *dm = idm; 1217 } 1218 /* Create cube geometry */ 1219 { 1220 Vec coordinates; 1221 PetscSection coordSection; 1222 PetscScalar *coords; 1223 PetscInt coordSize, v; 1224 const PetscReal dis = 1.0/PetscSqrtReal(2.0); 1225 const PetscReal ds2 = dis/2.0; 1226 1227 /* Build coordinates */ 1228 ierr = DMGetCoordinateSection(*dm, &coordSection);CHKERRQ(ierr); 1229 ierr = PetscSectionSetNumFields(coordSection, 1);CHKERRQ(ierr); 1230 ierr = PetscSectionSetFieldComponents(coordSection, 0, dim);CHKERRQ(ierr); 1231 ierr = PetscSectionSetChart(coordSection, numCells, numCells+numVertices);CHKERRQ(ierr); 1232 for (v = numCells; v < numCells+numVertices; ++v) { 1233 ierr = PetscSectionSetDof(coordSection, v, dim);CHKERRQ(ierr); 1234 ierr = PetscSectionSetFieldDof(coordSection, v, 0, dim);CHKERRQ(ierr); 1235 } 1236 ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr); 1237 ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr); 1238 ierr = VecCreate(PETSC_COMM_SELF, &coordinates);CHKERRQ(ierr); 1239 ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr); 1240 ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr); 1241 ierr = VecSetBlockSize(coordinates, dim);CHKERRQ(ierr); 1242 ierr = VecSetType(coordinates,VECSTANDARD);CHKERRQ(ierr); 1243 ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr); 1244 if (!rank) { 1245 coords[0*dim+0] = -ds2; coords[0*dim+1] = -ds2; coords[0*dim+2] = 0.0; 1246 coords[1*dim+0] = ds2; coords[1*dim+1] = -ds2; coords[1*dim+2] = 0.0; 1247 coords[2*dim+0] = ds2; coords[2*dim+1] = ds2; coords[2*dim+2] = 0.0; 1248 coords[3*dim+0] = -ds2; coords[3*dim+1] = ds2; coords[3*dim+2] = 0.0; 1249 coords[4*dim+0] = -ds2; coords[4*dim+1] = -ds2; coords[4*dim+2] = 1.0; 1250 coords[5*dim+0] = -ds2; coords[5*dim+1] = ds2; coords[5*dim+2] = 1.0; 1251 coords[6*dim+0] = ds2; coords[6*dim+1] = ds2; coords[6*dim+2] = 1.0; 1252 coords[7*dim+0] = ds2; coords[7*dim+1] = -ds2; coords[7*dim+2] = 1.0; 1253 coords[ 8*dim+0] = dis; coords[ 8*dim+1] = -dis; coords[ 8*dim+2] = 0.0; 1254 coords[ 9*dim+0] = dis; coords[ 9*dim+1] = dis; coords[ 9*dim+2] = 0.0; 1255 coords[10*dim+0] = dis; coords[10*dim+1] = -dis; coords[10*dim+2] = 1.0; 1256 coords[11*dim+0] = dis; coords[11*dim+1] = dis; coords[11*dim+2] = 1.0; 1257 coords[12*dim+0] = -dis; coords[12*dim+1] = dis; coords[12*dim+2] = 0.0; 1258 coords[13*dim+0] = -dis; coords[13*dim+1] = dis; coords[13*dim+2] = 1.0; 1259 coords[14*dim+0] = -dis; coords[14*dim+1] = -dis; coords[14*dim+2] = 0.0; 1260 coords[15*dim+0] = -dis; coords[15*dim+1] = -dis; coords[15*dim+2] = 1.0; 1261 if (periodicZ == DM_BOUNDARY_PERIODIC) { 1262 /* 15 31 19 */ coords[16*dim+0] = -ds2; coords[16*dim+1] = -ds2; coords[16*dim+2] = 0.5; 1263 /* 16 32 22 */ coords[17*dim+0] = ds2; coords[17*dim+1] = -ds2; coords[17*dim+2] = 0.5; 1264 /* 17 33 21 */ coords[18*dim+0] = ds2; coords[18*dim+1] = ds2; coords[18*dim+2] = 0.5; 1265 /* 18 34 20 */ coords[19*dim+0] = -ds2; coords[19*dim+1] = ds2; coords[19*dim+2] = 0.5; 1266 /* 29 35 30 */ coords[20*dim+0] = -dis; coords[20*dim+1] = -dis; coords[20*dim+2] = 0.5; 1267 /* 23 36 25 */ coords[21*dim+0] = dis; coords[21*dim+1] = -dis; coords[21*dim+2] = 0.5; 1268 /* 24 37 26 */ coords[22*dim+0] = dis; coords[22*dim+1] = dis; coords[22*dim+2] = 0.5; 1269 /* 27 38 28 */ coords[23*dim+0] = -dis; coords[23*dim+1] = dis; coords[23*dim+2] = 0.5; 1270 } 1271 } 1272 ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr); 1273 ierr = DMSetCoordinatesLocal(*dm, coordinates);CHKERRQ(ierr); 1274 ierr = VecDestroy(&coordinates);CHKERRQ(ierr); 1275 } 1276 /* Create periodicity */ 1277 if (periodicZ == DM_BOUNDARY_PERIODIC || periodicZ == DM_BOUNDARY_TWIST) { 1278 PetscReal L[3]; 1279 PetscReal maxCell[3]; 1280 DMBoundaryType bdType[3]; 1281 PetscReal lower[3] = {0.0, 0.0, 0.0}; 1282 PetscReal upper[3] = {1.0, 1.0, 1.5}; 1283 PetscInt i, numZCells = 3; 1284 1285 bdType[0] = DM_BOUNDARY_NONE; 1286 bdType[1] = DM_BOUNDARY_NONE; 1287 bdType[2] = periodicZ; 1288 for (i = 0; i < dim; i++) { 1289 L[i] = upper[i] - lower[i]; 1290 maxCell[i] = 1.1 * (L[i] / numZCells); 1291 } 1292 ierr = DMSetPeriodicity(*dm, PETSC_TRUE, maxCell, L, bdType);CHKERRQ(ierr); 1293 } 1294 /* Refine topology */ 1295 for (r = 0; r < numRefine; ++r) { 1296 DM rdm = NULL; 1297 1298 ierr = DMRefine(*dm, comm, &rdm);CHKERRQ(ierr); 1299 ierr = DMDestroy(dm);CHKERRQ(ierr); 1300 *dm = rdm; 1301 } 1302 /* Remap geometry to cylinder 1303 Interior square: Linear interpolation is correct 1304 The other cells all have vertices on rays from the origin. We want to uniformly expand the spacing 1305 such that the last vertex is on the unit circle. So the closest and farthest vertices are at distance 1306 1307 phi = arctan(y/x) 1308 d_close = sqrt(1/8 + 1/4 sin^2(phi)) 1309 d_far = sqrt(1/2 + sin^2(phi)) 1310 1311 so we remap them using 1312 1313 x_new = x_close + (x - x_close) (1 - d_close) / (d_far - d_close) 1314 y_new = y_close + (y - y_close) (1 - d_close) / (d_far - d_close) 1315 1316 If pi/4 < phi < 3pi/4 or -3pi/4 < phi < -pi/4, then we switch x and y. 1317 */ 1318 { 1319 Vec coordinates; 1320 PetscSection coordSection; 1321 PetscScalar *coords; 1322 PetscInt vStart, vEnd, v; 1323 const PetscReal dis = 1.0/PetscSqrtReal(2.0); 1324 const PetscReal ds2 = 0.5*dis; 1325 1326 ierr = DMPlexGetDepthStratum(*dm, 0, &vStart, &vEnd);CHKERRQ(ierr); 1327 ierr = DMGetCoordinateSection(*dm, &coordSection);CHKERRQ(ierr); 1328 ierr = DMGetCoordinatesLocal(*dm, &coordinates);CHKERRQ(ierr); 1329 ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr); 1330 for (v = vStart; v < vEnd; ++v) { 1331 PetscReal phi, sinp, cosp, dc, df, x, y, xc, yc; 1332 PetscInt off; 1333 1334 ierr = PetscSectionGetOffset(coordSection, v, &off);CHKERRQ(ierr); 1335 if ((PetscAbsScalar(coords[off+0]) <= ds2) && (PetscAbsScalar(coords[off+1]) <= ds2)) continue; 1336 x = PetscRealPart(coords[off]); 1337 y = PetscRealPart(coords[off+1]); 1338 phi = PetscAtan2Real(y, x); 1339 sinp = PetscSinReal(phi); 1340 cosp = PetscCosReal(phi); 1341 if ((PetscAbsReal(phi) > PETSC_PI/4.0) && (PetscAbsReal(phi) < 3.0*PETSC_PI/4.0)) { 1342 dc = PetscAbsReal(ds2/sinp); 1343 df = PetscAbsReal(dis/sinp); 1344 xc = ds2*x/PetscAbsReal(y); 1345 yc = ds2*PetscSignReal(y); 1346 } else { 1347 dc = PetscAbsReal(ds2/cosp); 1348 df = PetscAbsReal(dis/cosp); 1349 xc = ds2*PetscSignReal(x); 1350 yc = ds2*y/PetscAbsReal(x); 1351 } 1352 coords[off+0] = xc + (coords[off+0] - xc)*(1.0 - dc)/(df - dc); 1353 coords[off+1] = yc + (coords[off+1] - yc)*(1.0 - dc)/(df - dc); 1354 } 1355 ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr); 1356 if (periodicZ == DM_BOUNDARY_PERIODIC || periodicZ == DM_BOUNDARY_TWIST) { 1357 ierr = DMLocalizeCoordinates(*dm);CHKERRQ(ierr); 1358 } 1359 } 1360 PetscFunctionReturn(0); 1361 } 1362 1363 /*@ 1364 DMPlexCreateWedgeCylinderMesh - Creates a mesh on the tensor product of the unit interval with the circle (cylinder) using wedges. 1365 1366 Collective on MPI_Comm 1367 1368 Input Parameters: 1369 + comm - The communicator for the DM object 1370 . n - The number of wedges around the origin 1371 - interpolate - Create edges and faces 1372 1373 Output Parameter: 1374 . dm - The DM object 1375 1376 Level: beginner 1377 1378 .keywords: DM, create 1379 .seealso: DMPlexCreateHexCylinderMesh(), DMPlexCreateBoxMesh(), DMSetType(), DMCreate() 1380 @*/ 1381 PetscErrorCode DMPlexCreateWedgeCylinderMesh(MPI_Comm comm, PetscInt n, PetscBool interpolate, DM *dm) 1382 { 1383 const PetscInt dim = 3; 1384 PetscInt numCells, numVertices; 1385 PetscMPIInt rank; 1386 PetscErrorCode ierr; 1387 1388 PetscFunctionBegin; 1389 PetscValidPointer(dm, 3); 1390 ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr); 1391 if (n < 0) SETERRQ1(comm, PETSC_ERR_ARG_OUTOFRANGE, "Number of wedges %D cannot be negative", n); 1392 ierr = DMCreate(comm, dm);CHKERRQ(ierr); 1393 ierr = DMSetType(*dm, DMPLEX);CHKERRQ(ierr); 1394 ierr = DMSetDimension(*dm, dim);CHKERRQ(ierr); 1395 /* Create topology */ 1396 { 1397 PetscInt cone[6], c; 1398 1399 numCells = !rank ? n : 0; 1400 numVertices = !rank ? 2*(n+1) : 0; 1401 ierr = DMPlexSetChart(*dm, 0, numCells+numVertices);CHKERRQ(ierr); 1402 for (c = 0; c < numCells; c++) {ierr = DMPlexSetConeSize(*dm, c, 6);CHKERRQ(ierr);} 1403 ierr = DMSetUp(*dm);CHKERRQ(ierr); 1404 for (c = 0; c < numCells; c++) { 1405 cone[0] = c+n*1; cone[1] = (c+1)%n+n*1; cone[2] = 0+3*n; 1406 cone[3] = c+n*2; cone[4] = (c+1)%n+n*2; cone[5] = 1+3*n; 1407 ierr = DMPlexSetCone(*dm, c, cone);CHKERRQ(ierr); 1408 } 1409 ierr = DMPlexSymmetrize(*dm);CHKERRQ(ierr); 1410 ierr = DMPlexStratify(*dm);CHKERRQ(ierr); 1411 } 1412 /* Interpolate */ 1413 if (interpolate) { 1414 DM idm; 1415 1416 ierr = DMPlexInterpolate(*dm, &idm);CHKERRQ(ierr); 1417 ierr = DMDestroy(dm);CHKERRQ(ierr); 1418 *dm = idm; 1419 } 1420 /* Create cylinder geometry */ 1421 { 1422 Vec coordinates; 1423 PetscSection coordSection; 1424 PetscScalar *coords; 1425 PetscInt coordSize, v, c; 1426 1427 /* Build coordinates */ 1428 ierr = DMGetCoordinateSection(*dm, &coordSection);CHKERRQ(ierr); 1429 ierr = PetscSectionSetNumFields(coordSection, 1);CHKERRQ(ierr); 1430 ierr = PetscSectionSetFieldComponents(coordSection, 0, dim);CHKERRQ(ierr); 1431 ierr = PetscSectionSetChart(coordSection, numCells, numCells+numVertices);CHKERRQ(ierr); 1432 for (v = numCells; v < numCells+numVertices; ++v) { 1433 ierr = PetscSectionSetDof(coordSection, v, dim);CHKERRQ(ierr); 1434 ierr = PetscSectionSetFieldDof(coordSection, v, 0, dim);CHKERRQ(ierr); 1435 } 1436 ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr); 1437 ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr); 1438 ierr = VecCreate(PETSC_COMM_SELF, &coordinates);CHKERRQ(ierr); 1439 ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr); 1440 ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr); 1441 ierr = VecSetBlockSize(coordinates, dim);CHKERRQ(ierr); 1442 ierr = VecSetType(coordinates,VECSTANDARD);CHKERRQ(ierr); 1443 ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr); 1444 for (c = 0; c < numCells; c++) { 1445 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; 1446 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; 1447 } 1448 if (!rank) { 1449 coords[(2*n+0)*dim+0] = 0.0; coords[(2*n+0)*dim+1] = 0.0; coords[(2*n+0)*dim+2] = 1.0; 1450 coords[(2*n+1)*dim+0] = 0.0; coords[(2*n+1)*dim+1] = 0.0; coords[(2*n+1)*dim+2] = 0.0; 1451 } 1452 ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr); 1453 ierr = DMSetCoordinatesLocal(*dm, coordinates);CHKERRQ(ierr); 1454 ierr = VecDestroy(&coordinates);CHKERRQ(ierr); 1455 } 1456 PetscFunctionReturn(0); 1457 } 1458 1459 PETSC_STATIC_INLINE PetscReal DiffNormReal(PetscInt dim, const PetscReal x[], const PetscReal y[]) 1460 { 1461 PetscReal prod = 0.0; 1462 PetscInt i; 1463 for (i = 0; i < dim; ++i) prod += PetscSqr(x[i] - y[i]); 1464 return PetscSqrtReal(prod); 1465 } 1466 PETSC_STATIC_INLINE PetscReal DotReal(PetscInt dim, const PetscReal x[], const PetscReal y[]) 1467 { 1468 PetscReal prod = 0.0; 1469 PetscInt i; 1470 for (i = 0; i < dim; ++i) prod += x[i]*y[i]; 1471 return prod; 1472 } 1473 1474 /*@ 1475 DMPlexCreateSphereMesh - Creates a mesh on the d-dimensional sphere, S^d. 1476 1477 Collective on MPI_Comm 1478 1479 Input Parameters: 1480 . comm - The communicator for the DM object 1481 . dim - The dimension 1482 - simplex - Use simplices, or tensor product cells 1483 1484 Output Parameter: 1485 . dm - The DM object 1486 1487 Level: beginner 1488 1489 .keywords: DM, create 1490 .seealso: DMPlexCreateBoxMesh(), DMSetType(), DMCreate() 1491 @*/ 1492 PetscErrorCode DMPlexCreateSphereMesh(MPI_Comm comm, PetscInt dim, PetscBool simplex, DM *dm) 1493 { 1494 const PetscInt embedDim = dim+1; 1495 PetscSection coordSection; 1496 Vec coordinates; 1497 PetscScalar *coords; 1498 PetscReal *coordsIn; 1499 PetscInt numCells, numEdges, numVerts, firstVertex, v, firstEdge, coordSize, d, c, e; 1500 PetscMPIInt rank; 1501 PetscErrorCode ierr; 1502 1503 PetscFunctionBegin; 1504 PetscValidPointer(dm, 4); 1505 ierr = DMCreate(comm, dm);CHKERRQ(ierr); 1506 ierr = DMSetType(*dm, DMPLEX);CHKERRQ(ierr); 1507 ierr = DMSetDimension(*dm, dim);CHKERRQ(ierr); 1508 ierr = DMSetCoordinateDim(*dm, dim+1);CHKERRQ(ierr); 1509 ierr = MPI_Comm_rank(PetscObjectComm((PetscObject) *dm), &rank);CHKERRQ(ierr); 1510 switch (dim) { 1511 case 2: 1512 if (simplex) { 1513 DM idm; 1514 const PetscReal edgeLen = 2.0/(1.0 + PETSC_PHI); 1515 const PetscReal vertex[3] = {0.0, 1.0/(1.0 + PETSC_PHI), PETSC_PHI/(1.0 + PETSC_PHI)}; 1516 const PetscInt degree = 5; 1517 PetscInt s[3] = {1, 1, 1}; 1518 PetscInt cone[3]; 1519 PetscInt *graph, p, i, j, k; 1520 1521 numCells = !rank ? 20 : 0; 1522 numVerts = !rank ? 12 : 0; 1523 firstVertex = numCells; 1524 /* Use icosahedron, which for a unit sphere has coordinates which are all cyclic permutations of 1525 1526 (0, \pm 1/\phi+1, \pm \phi/\phi+1) 1527 1528 where \phi^2 - \phi - 1 = 0, meaning \phi is the golden ratio \frac{1 + \sqrt{5}}{2}. The edge 1529 length is then given by 2/\phi = 2 * 2.73606 = 5.47214. 1530 */ 1531 /* Construct vertices */ 1532 ierr = PetscCalloc1(numVerts * embedDim, &coordsIn);CHKERRQ(ierr); 1533 for (p = 0, i = 0; p < embedDim; ++p) { 1534 for (s[1] = -1; s[1] < 2; s[1] += 2) { 1535 for (s[2] = -1; s[2] < 2; s[2] += 2) { 1536 for (d = 0; d < embedDim; ++d) coordsIn[i*embedDim+d] = s[(d+p)%embedDim]*vertex[(d+p)%embedDim]; 1537 ++i; 1538 } 1539 } 1540 } 1541 /* Construct graph */ 1542 ierr = PetscCalloc1(numVerts * numVerts, &graph);CHKERRQ(ierr); 1543 for (i = 0; i < numVerts; ++i) { 1544 for (j = 0, k = 0; j < numVerts; ++j) { 1545 if (PetscAbsReal(DiffNormReal(embedDim, &coordsIn[i*embedDim], &coordsIn[j*embedDim]) - edgeLen) < PETSC_SMALL) {graph[i*numVerts+j] = 1; ++k;} 1546 } 1547 if (k != degree) SETERRQ3(comm, PETSC_ERR_PLIB, "Invalid icosahedron, vertex %D degree %D != %D", i, k, degree); 1548 } 1549 /* Build Topology */ 1550 ierr = DMPlexSetChart(*dm, 0, numCells+numVerts);CHKERRQ(ierr); 1551 for (c = 0; c < numCells; c++) { 1552 ierr = DMPlexSetConeSize(*dm, c, embedDim);CHKERRQ(ierr); 1553 } 1554 ierr = DMSetUp(*dm);CHKERRQ(ierr); /* Allocate space for cones */ 1555 /* Cells */ 1556 for (i = 0, c = 0; i < numVerts; ++i) { 1557 for (j = 0; j < i; ++j) { 1558 for (k = 0; k < j; ++k) { 1559 if (graph[i*numVerts+j] && graph[j*numVerts+k] && graph[k*numVerts+i]) { 1560 cone[0] = firstVertex+i; cone[1] = firstVertex+j; cone[2] = firstVertex+k; 1561 /* Check orientation */ 1562 { 1563 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}}}; 1564 PetscReal normal[3]; 1565 PetscInt e, f; 1566 1567 for (d = 0; d < embedDim; ++d) { 1568 normal[d] = 0.0; 1569 for (e = 0; e < embedDim; ++e) { 1570 for (f = 0; f < embedDim; ++f) { 1571 normal[d] += epsilon[d][e][f]*(coordsIn[j*embedDim+e] - coordsIn[i*embedDim+e])*(coordsIn[k*embedDim+f] - coordsIn[i*embedDim+f]); 1572 } 1573 } 1574 } 1575 if (DotReal(embedDim, normal, &coordsIn[i*embedDim]) < 0) {PetscInt tmp = cone[1]; cone[1] = cone[2]; cone[2] = tmp;} 1576 } 1577 ierr = DMPlexSetCone(*dm, c++, cone);CHKERRQ(ierr); 1578 } 1579 } 1580 } 1581 } 1582 ierr = DMPlexSymmetrize(*dm);CHKERRQ(ierr); 1583 ierr = DMPlexStratify(*dm);CHKERRQ(ierr); 1584 ierr = PetscFree(graph);CHKERRQ(ierr); 1585 /* Interpolate mesh */ 1586 ierr = DMPlexInterpolate(*dm, &idm);CHKERRQ(ierr); 1587 ierr = DMDestroy(dm);CHKERRQ(ierr); 1588 *dm = idm; 1589 } else { 1590 /* 1591 12-21--13 1592 | | 1593 25 4 24 1594 | | 1595 12-25--9-16--8-24--13 1596 | | | | 1597 23 5 17 0 15 3 22 1598 | | | | 1599 10-20--6-14--7-19--11 1600 | | 1601 20 1 19 1602 | | 1603 10-18--11 1604 | | 1605 23 2 22 1606 | | 1607 12-21--13 1608 */ 1609 const PetscReal dist = 1.0/PetscSqrtReal(3.0); 1610 PetscInt cone[4], ornt[4]; 1611 1612 numCells = !rank ? 6 : 0; 1613 numEdges = !rank ? 12 : 0; 1614 numVerts = !rank ? 8 : 0; 1615 firstVertex = numCells; 1616 firstEdge = numCells + numVerts; 1617 /* Build Topology */ 1618 ierr = DMPlexSetChart(*dm, 0, numCells+numEdges+numVerts);CHKERRQ(ierr); 1619 for (c = 0; c < numCells; c++) { 1620 ierr = DMPlexSetConeSize(*dm, c, 4);CHKERRQ(ierr); 1621 } 1622 for (e = firstEdge; e < firstEdge+numEdges; ++e) { 1623 ierr = DMPlexSetConeSize(*dm, e, 2);CHKERRQ(ierr); 1624 } 1625 ierr = DMSetUp(*dm);CHKERRQ(ierr); /* Allocate space for cones */ 1626 /* Cell 0 */ 1627 cone[0] = 14; cone[1] = 15; cone[2] = 16; cone[3] = 17; 1628 ierr = DMPlexSetCone(*dm, 0, cone);CHKERRQ(ierr); 1629 ornt[0] = 0; ornt[1] = 0; ornt[2] = 0; ornt[3] = 0; 1630 ierr = DMPlexSetConeOrientation(*dm, 0, ornt);CHKERRQ(ierr); 1631 /* Cell 1 */ 1632 cone[0] = 18; cone[1] = 19; cone[2] = 14; cone[3] = 20; 1633 ierr = DMPlexSetCone(*dm, 1, cone);CHKERRQ(ierr); 1634 ornt[0] = 0; ornt[1] = 0; ornt[2] = -2; ornt[3] = 0; 1635 ierr = DMPlexSetConeOrientation(*dm, 1, ornt);CHKERRQ(ierr); 1636 /* Cell 2 */ 1637 cone[0] = 21; cone[1] = 22; cone[2] = 18; cone[3] = 23; 1638 ierr = DMPlexSetCone(*dm, 2, cone);CHKERRQ(ierr); 1639 ornt[0] = 0; ornt[1] = 0; ornt[2] = -2; ornt[3] = 0; 1640 ierr = DMPlexSetConeOrientation(*dm, 2, ornt);CHKERRQ(ierr); 1641 /* Cell 3 */ 1642 cone[0] = 19; cone[1] = 22; cone[2] = 24; cone[3] = 15; 1643 ierr = DMPlexSetCone(*dm, 3, cone);CHKERRQ(ierr); 1644 ornt[0] = -2; ornt[1] = -2; ornt[2] = 0; ornt[3] = -2; 1645 ierr = DMPlexSetConeOrientation(*dm, 3, ornt);CHKERRQ(ierr); 1646 /* Cell 4 */ 1647 cone[0] = 16; cone[1] = 24; cone[2] = 21; cone[3] = 25; 1648 ierr = DMPlexSetCone(*dm, 4, cone);CHKERRQ(ierr); 1649 ornt[0] = -2; ornt[1] = -2; ornt[2] = -2; ornt[3] = 0; 1650 ierr = DMPlexSetConeOrientation(*dm, 4, ornt);CHKERRQ(ierr); 1651 /* Cell 5 */ 1652 cone[0] = 20; cone[1] = 17; cone[2] = 25; cone[3] = 23; 1653 ierr = DMPlexSetCone(*dm, 5, cone);CHKERRQ(ierr); 1654 ornt[0] = -2; ornt[1] = -2; ornt[2] = -2; ornt[3] = -2; 1655 ierr = DMPlexSetConeOrientation(*dm, 5, ornt);CHKERRQ(ierr); 1656 /* Edges */ 1657 cone[0] = 6; cone[1] = 7; 1658 ierr = DMPlexSetCone(*dm, 14, cone);CHKERRQ(ierr); 1659 cone[0] = 7; cone[1] = 8; 1660 ierr = DMPlexSetCone(*dm, 15, cone);CHKERRQ(ierr); 1661 cone[0] = 8; cone[1] = 9; 1662 ierr = DMPlexSetCone(*dm, 16, cone);CHKERRQ(ierr); 1663 cone[0] = 9; cone[1] = 6; 1664 ierr = DMPlexSetCone(*dm, 17, cone);CHKERRQ(ierr); 1665 cone[0] = 10; cone[1] = 11; 1666 ierr = DMPlexSetCone(*dm, 18, cone);CHKERRQ(ierr); 1667 cone[0] = 11; cone[1] = 7; 1668 ierr = DMPlexSetCone(*dm, 19, cone);CHKERRQ(ierr); 1669 cone[0] = 6; cone[1] = 10; 1670 ierr = DMPlexSetCone(*dm, 20, cone);CHKERRQ(ierr); 1671 cone[0] = 12; cone[1] = 13; 1672 ierr = DMPlexSetCone(*dm, 21, cone);CHKERRQ(ierr); 1673 cone[0] = 13; cone[1] = 11; 1674 ierr = DMPlexSetCone(*dm, 22, cone);CHKERRQ(ierr); 1675 cone[0] = 10; cone[1] = 12; 1676 ierr = DMPlexSetCone(*dm, 23, cone);CHKERRQ(ierr); 1677 cone[0] = 13; cone[1] = 8; 1678 ierr = DMPlexSetCone(*dm, 24, cone);CHKERRQ(ierr); 1679 cone[0] = 12; cone[1] = 9; 1680 ierr = DMPlexSetCone(*dm, 25, cone);CHKERRQ(ierr); 1681 ierr = DMPlexSymmetrize(*dm);CHKERRQ(ierr); 1682 ierr = DMPlexStratify(*dm);CHKERRQ(ierr); 1683 /* Build coordinates */ 1684 ierr = PetscCalloc1(numVerts * embedDim, &coordsIn);CHKERRQ(ierr); 1685 coordsIn[0*embedDim+0] = -dist; coordsIn[0*embedDim+1] = dist; coordsIn[0*embedDim+2] = -dist; 1686 coordsIn[1*embedDim+0] = dist; coordsIn[1*embedDim+1] = dist; coordsIn[1*embedDim+2] = -dist; 1687 coordsIn[2*embedDim+0] = dist; coordsIn[2*embedDim+1] = -dist; coordsIn[2*embedDim+2] = -dist; 1688 coordsIn[3*embedDim+0] = -dist; coordsIn[3*embedDim+1] = -dist; coordsIn[3*embedDim+2] = -dist; 1689 coordsIn[4*embedDim+0] = -dist; coordsIn[4*embedDim+1] = dist; coordsIn[4*embedDim+2] = dist; 1690 coordsIn[5*embedDim+0] = dist; coordsIn[5*embedDim+1] = dist; coordsIn[5*embedDim+2] = dist; 1691 coordsIn[6*embedDim+0] = -dist; coordsIn[6*embedDim+1] = -dist; coordsIn[6*embedDim+2] = dist; 1692 coordsIn[7*embedDim+0] = dist; coordsIn[7*embedDim+1] = -dist; coordsIn[7*embedDim+2] = dist; 1693 } 1694 break; 1695 case 3: 1696 if (simplex) { 1697 DM idm; 1698 const PetscReal edgeLen = 1.0/PETSC_PHI; 1699 const PetscReal vertexA[4] = {0.5, 0.5, 0.5, 0.5}; 1700 const PetscReal vertexB[4] = {1.0, 0.0, 0.0, 0.0}; 1701 const PetscReal vertexC[4] = {0.5, 0.5*PETSC_PHI, 0.5/PETSC_PHI, 0.0}; 1702 const PetscInt degree = 12; 1703 PetscInt s[4] = {1, 1, 1}; 1704 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}, 1705 {2, 0, 1, 3}, {2, 1, 3, 0}, {2, 3, 0, 1}, {3, 0, 2, 1}, {3, 1, 0, 2}, {3, 2, 1, 0}}; 1706 PetscInt cone[4]; 1707 PetscInt *graph, p, i, j, k, l; 1708 1709 numCells = !rank ? 600 : 0; 1710 numVerts = !rank ? 120 : 0; 1711 firstVertex = numCells; 1712 /* Use the 600-cell, which for a unit sphere has coordinates which are 1713 1714 1/2 (\pm 1, \pm 1, \pm 1, \pm 1) 16 1715 (\pm 1, 0, 0, 0) all cyclic permutations 8 1716 1/2 (\pm 1, \pm phi, \pm 1/phi, 0) all even permutations 96 1717 1718 where \phi^2 - \phi - 1 = 0, meaning \phi is the golden ratio \frac{1 + \sqrt{5}}{2}. The edge 1719 length is then given by 1/\phi = 2.73606. 1720 1721 http://buzzard.pugetsound.edu/sage-practice/ch03s03.html 1722 http://mathworld.wolfram.com/600-Cell.html 1723 */ 1724 /* Construct vertices */ 1725 ierr = PetscCalloc1(numVerts * embedDim, &coordsIn);CHKERRQ(ierr); 1726 i = 0; 1727 for (s[0] = -1; s[0] < 2; s[0] += 2) { 1728 for (s[1] = -1; s[1] < 2; s[1] += 2) { 1729 for (s[2] = -1; s[2] < 2; s[2] += 2) { 1730 for (s[3] = -1; s[3] < 2; s[3] += 2) { 1731 for (d = 0; d < embedDim; ++d) coordsIn[i*embedDim+d] = s[d]*vertexA[d]; 1732 ++i; 1733 } 1734 } 1735 } 1736 } 1737 for (p = 0; p < embedDim; ++p) { 1738 s[1] = s[2] = s[3] = 1; 1739 for (s[0] = -1; s[0] < 2; s[0] += 2) { 1740 for (d = 0; d < embedDim; ++d) coordsIn[i*embedDim+d] = s[(d+p)%embedDim]*vertexB[(d+p)%embedDim]; 1741 ++i; 1742 } 1743 } 1744 for (p = 0; p < 12; ++p) { 1745 s[3] = 1; 1746 for (s[0] = -1; s[0] < 2; s[0] += 2) { 1747 for (s[1] = -1; s[1] < 2; s[1] += 2) { 1748 for (s[2] = -1; s[2] < 2; s[2] += 2) { 1749 for (d = 0; d < embedDim; ++d) coordsIn[i*embedDim+d] = s[evenPerm[p][d]]*vertexC[evenPerm[p][d]]; 1750 ++i; 1751 } 1752 } 1753 } 1754 } 1755 if (i != numVerts) SETERRQ2(comm, PETSC_ERR_PLIB, "Invalid 600-cell, vertices %D != %D", i, numVerts); 1756 /* Construct graph */ 1757 ierr = PetscCalloc1(numVerts * numVerts, &graph);CHKERRQ(ierr); 1758 for (i = 0; i < numVerts; ++i) { 1759 for (j = 0, k = 0; j < numVerts; ++j) { 1760 if (PetscAbsReal(DiffNormReal(embedDim, &coordsIn[i*embedDim], &coordsIn[j*embedDim]) - edgeLen) < PETSC_SMALL) {graph[i*numVerts+j] = 1; ++k;} 1761 } 1762 if (k != degree) SETERRQ3(comm, PETSC_ERR_PLIB, "Invalid 600-cell, vertex %D degree %D != %D", i, k, degree); 1763 } 1764 /* Build Topology */ 1765 ierr = DMPlexSetChart(*dm, 0, numCells+numVerts);CHKERRQ(ierr); 1766 for (c = 0; c < numCells; c++) { 1767 ierr = DMPlexSetConeSize(*dm, c, embedDim);CHKERRQ(ierr); 1768 } 1769 ierr = DMSetUp(*dm);CHKERRQ(ierr); /* Allocate space for cones */ 1770 /* Cells */ 1771 for (i = 0, c = 0; i < numVerts; ++i) { 1772 for (j = 0; j < i; ++j) { 1773 for (k = 0; k < j; ++k) { 1774 for (l = 0; l < k; ++l) { 1775 if (graph[i*numVerts+j] && graph[j*numVerts+k] && graph[k*numVerts+i] && 1776 graph[l*numVerts+i] && graph[l*numVerts+j] && graph[l*numVerts+k]) { 1777 cone[0] = firstVertex+i; cone[1] = firstVertex+j; cone[2] = firstVertex+k; cone[3] = firstVertex+l; 1778 /* Check orientation: https://ef.gy/linear-algebra:normal-vectors-in-higher-dimensional-spaces */ 1779 { 1780 const PetscInt epsilon[4][4][4][4] = {{{{0, 0, 0, 0}, { 0, 0, 0, 0}, { 0, 0, 0, 0}, { 0, 0, 0, 0}}, 1781 {{0, 0, 0, 0}, { 0, 0, 0, 0}, { 0, 0, 0, 1}, { 0, 0, -1, 0}}, 1782 {{0, 0, 0, 0}, { 0, 0, 0, -1}, { 0, 0, 0, 0}, { 0, 1, 0, 0}}, 1783 {{0, 0, 0, 0}, { 0, 0, 1, 0}, { 0, -1, 0, 0}, { 0, 0, 0, 0}}}, 1784 1785 {{{0, 0, 0, 0}, { 0, 0, 0, 0}, { 0, 0, 0, -1}, { 0, 0, 1, 0}}, 1786 {{0, 0, 0, 0}, { 0, 0, 0, 0}, { 0, 0, 0, 0}, { 0, 0, 0, 0}}, 1787 {{0, 0, 0, 1}, { 0, 0, 0, 0}, { 0, 0, 0, 0}, {-1, 0, 0, 0}}, 1788 {{0, 0, -1, 0}, { 0, 0, 0, 0}, { 1, 0, 0, 0}, { 0, 0, 0, 0}}}, 1789 1790 {{{0, 0, 0, 0}, { 0, 0, 0, 1}, { 0, 0, 0, 0}, { 0, -1, 0, 0}}, 1791 {{0, 0, 0, -1}, { 0, 0, 0, 0}, { 0, 0, 0, 0}, { 1, 0, 0, 0}}, 1792 {{0, 0, 0, 0}, { 0, 0, 0, 0}, { 0, 0, 0, 0}, { 0, 0, 0, 0}}, 1793 {{0, 1, 0, 0}, {-1, 0, 0, 0}, { 0, 0, 0, 0}, { 0, 0, 0, 0}}}, 1794 1795 {{{0, 0, 0, 0}, { 0, 0, -1, 0}, { 0, 1, 0, 0}, { 0, 0, 0, 0}}, 1796 {{0, 0, 1, 0}, { 0, 0, 0, 0}, {-1, 0, 0, 0}, { 0, 0, 0, 0}}, 1797 {{0, -1, 0, 0}, { 1, 0, 0, 0}, { 0, 0, 0, 0}, { 0, 0, 0, 0}}, 1798 {{0, 0, 0, 0}, { 0, 0, 0, 0}, { 0, 0, 0, 0}, { 0, 0, 0, 0}}}}; 1799 PetscReal normal[4]; 1800 PetscInt e, f, g; 1801 1802 for (d = 0; d < embedDim; ++d) { 1803 normal[d] = 0.0; 1804 for (e = 0; e < embedDim; ++e) { 1805 for (f = 0; f < embedDim; ++f) { 1806 for (g = 0; g < embedDim; ++g) { 1807 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]); 1808 } 1809 } 1810 } 1811 } 1812 if (DotReal(embedDim, normal, &coordsIn[i*embedDim]) < 0) {PetscInt tmp = cone[1]; cone[1] = cone[2]; cone[2] = tmp;} 1813 } 1814 ierr = DMPlexSetCone(*dm, c++, cone);CHKERRQ(ierr); 1815 } 1816 } 1817 } 1818 } 1819 } 1820 ierr = DMPlexSymmetrize(*dm);CHKERRQ(ierr); 1821 ierr = DMPlexStratify(*dm);CHKERRQ(ierr); 1822 ierr = PetscFree(graph);CHKERRQ(ierr); 1823 /* Interpolate mesh */ 1824 ierr = DMPlexInterpolate(*dm, &idm);CHKERRQ(ierr); 1825 ierr = DMDestroy(dm);CHKERRQ(ierr); 1826 *dm = idm; 1827 break; 1828 } 1829 default: SETERRQ1(comm, PETSC_ERR_SUP, "Unsupported dimension for sphere: %D", dim); 1830 } 1831 /* Create coordinates */ 1832 ierr = DMGetCoordinateSection(*dm, &coordSection);CHKERRQ(ierr); 1833 ierr = PetscSectionSetNumFields(coordSection, 1);CHKERRQ(ierr); 1834 ierr = PetscSectionSetFieldComponents(coordSection, 0, embedDim);CHKERRQ(ierr); 1835 ierr = PetscSectionSetChart(coordSection, firstVertex, firstVertex+numVerts);CHKERRQ(ierr); 1836 for (v = firstVertex; v < firstVertex+numVerts; ++v) { 1837 ierr = PetscSectionSetDof(coordSection, v, embedDim);CHKERRQ(ierr); 1838 ierr = PetscSectionSetFieldDof(coordSection, v, 0, embedDim);CHKERRQ(ierr); 1839 } 1840 ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr); 1841 ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr); 1842 ierr = VecCreate(PETSC_COMM_SELF, &coordinates);CHKERRQ(ierr); 1843 ierr = VecSetBlockSize(coordinates, embedDim);CHKERRQ(ierr); 1844 ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr); 1845 ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr); 1846 ierr = VecSetType(coordinates,VECSTANDARD);CHKERRQ(ierr); 1847 ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr); 1848 for (v = 0; v < numVerts; ++v) for (d = 0; d < embedDim; ++d) {coords[v*embedDim+d] = coordsIn[v*embedDim+d];} 1849 ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr); 1850 ierr = DMSetCoordinatesLocal(*dm, coordinates);CHKERRQ(ierr); 1851 ierr = VecDestroy(&coordinates);CHKERRQ(ierr); 1852 ierr = PetscFree(coordsIn);CHKERRQ(ierr); 1853 PetscFunctionReturn(0); 1854 } 1855 1856 /* External function declarations here */ 1857 extern PetscErrorCode DMCreateInterpolation_Plex(DM dmCoarse, DM dmFine, Mat *interpolation, Vec *scaling); 1858 extern PetscErrorCode DMCreateInjection_Plex(DM dmCoarse, DM dmFine, Mat *mat); 1859 extern PetscErrorCode DMCreateMassMatrix_Plex(DM dmCoarse, DM dmFine, Mat *mat); 1860 extern PetscErrorCode DMCreateDefaultSection_Plex(DM dm); 1861 extern PetscErrorCode DMCreateDefaultConstraints_Plex(DM dm); 1862 extern PetscErrorCode DMCreateMatrix_Plex(DM dm, Mat *J); 1863 extern PetscErrorCode DMCreateCoordinateDM_Plex(DM dm, DM *cdm); 1864 PETSC_INTERN PetscErrorCode DMClone_Plex(DM dm, DM *newdm); 1865 extern PetscErrorCode DMSetUp_Plex(DM dm); 1866 extern PetscErrorCode DMDestroy_Plex(DM dm); 1867 extern PetscErrorCode DMView_Plex(DM dm, PetscViewer viewer); 1868 extern PetscErrorCode DMLoad_Plex(DM dm, PetscViewer viewer); 1869 extern PetscErrorCode DMCreateSubDM_Plex(DM dm, PetscInt numFields, const PetscInt fields[], IS *is, DM *subdm); 1870 extern PetscErrorCode DMCreateSuperDM_Plex(DM dms[], PetscInt len, IS **is, DM *superdm); 1871 static PetscErrorCode DMInitialize_Plex(DM dm); 1872 1873 /* Replace dm with the contents of dmNew 1874 - Share the DM_Plex structure 1875 - Share the coordinates 1876 - Share the SF 1877 */ 1878 static PetscErrorCode DMPlexReplace_Static(DM dm, DM dmNew) 1879 { 1880 PetscSF sf; 1881 DM coordDM, coarseDM; 1882 Vec coords; 1883 PetscBool isper; 1884 const PetscReal *maxCell, *L; 1885 const DMBoundaryType *bd; 1886 PetscErrorCode ierr; 1887 1888 PetscFunctionBegin; 1889 ierr = DMGetPointSF(dmNew, &sf);CHKERRQ(ierr); 1890 ierr = DMSetPointSF(dm, sf);CHKERRQ(ierr); 1891 ierr = DMGetCoordinateDM(dmNew, &coordDM);CHKERRQ(ierr); 1892 ierr = DMGetCoordinatesLocal(dmNew, &coords);CHKERRQ(ierr); 1893 ierr = DMSetCoordinateDM(dm, coordDM);CHKERRQ(ierr); 1894 ierr = DMSetCoordinatesLocal(dm, coords);CHKERRQ(ierr); 1895 ierr = DMGetPeriodicity(dm, &isper, &maxCell, &L, &bd);CHKERRQ(ierr); 1896 ierr = DMSetPeriodicity(dmNew, isper, maxCell, L, bd);CHKERRQ(ierr); 1897 ierr = DMDestroy_Plex(dm);CHKERRQ(ierr); 1898 ierr = DMInitialize_Plex(dm);CHKERRQ(ierr); 1899 dm->data = dmNew->data; 1900 ((DM_Plex *) dmNew->data)->refct++; 1901 dmNew->labels->refct++; 1902 if (!--(dm->labels->refct)) { 1903 DMLabelLink next = dm->labels->next; 1904 1905 /* destroy the labels */ 1906 while (next) { 1907 DMLabelLink tmp = next->next; 1908 1909 ierr = DMLabelDestroy(&next->label);CHKERRQ(ierr); 1910 ierr = PetscFree(next);CHKERRQ(ierr); 1911 next = tmp; 1912 } 1913 ierr = PetscFree(dm->labels);CHKERRQ(ierr); 1914 } 1915 dm->labels = dmNew->labels; 1916 dm->depthLabel = dmNew->depthLabel; 1917 ierr = DMGetCoarseDM(dmNew,&coarseDM);CHKERRQ(ierr); 1918 ierr = DMSetCoarseDM(dm,coarseDM);CHKERRQ(ierr); 1919 PetscFunctionReturn(0); 1920 } 1921 1922 /* Swap dm with the contents of dmNew 1923 - Swap the DM_Plex structure 1924 - Swap the coordinates 1925 - Swap the point PetscSF 1926 */ 1927 static PetscErrorCode DMPlexSwap_Static(DM dmA, DM dmB) 1928 { 1929 DM coordDMA, coordDMB; 1930 Vec coordsA, coordsB; 1931 PetscSF sfA, sfB; 1932 void *tmp; 1933 DMLabelLinkList listTmp; 1934 DMLabel depthTmp; 1935 PetscErrorCode ierr; 1936 1937 PetscFunctionBegin; 1938 ierr = DMGetPointSF(dmA, &sfA);CHKERRQ(ierr); 1939 ierr = DMGetPointSF(dmB, &sfB);CHKERRQ(ierr); 1940 ierr = PetscObjectReference((PetscObject) sfA);CHKERRQ(ierr); 1941 ierr = DMSetPointSF(dmA, sfB);CHKERRQ(ierr); 1942 ierr = DMSetPointSF(dmB, sfA);CHKERRQ(ierr); 1943 ierr = PetscObjectDereference((PetscObject) sfA);CHKERRQ(ierr); 1944 1945 ierr = DMGetCoordinateDM(dmA, &coordDMA);CHKERRQ(ierr); 1946 ierr = DMGetCoordinateDM(dmB, &coordDMB);CHKERRQ(ierr); 1947 ierr = PetscObjectReference((PetscObject) coordDMA);CHKERRQ(ierr); 1948 ierr = DMSetCoordinateDM(dmA, coordDMB);CHKERRQ(ierr); 1949 ierr = DMSetCoordinateDM(dmB, coordDMA);CHKERRQ(ierr); 1950 ierr = PetscObjectDereference((PetscObject) coordDMA);CHKERRQ(ierr); 1951 1952 ierr = DMGetCoordinatesLocal(dmA, &coordsA);CHKERRQ(ierr); 1953 ierr = DMGetCoordinatesLocal(dmB, &coordsB);CHKERRQ(ierr); 1954 ierr = PetscObjectReference((PetscObject) coordsA);CHKERRQ(ierr); 1955 ierr = DMSetCoordinatesLocal(dmA, coordsB);CHKERRQ(ierr); 1956 ierr = DMSetCoordinatesLocal(dmB, coordsA);CHKERRQ(ierr); 1957 ierr = PetscObjectDereference((PetscObject) coordsA);CHKERRQ(ierr); 1958 1959 tmp = dmA->data; 1960 dmA->data = dmB->data; 1961 dmB->data = tmp; 1962 listTmp = dmA->labels; 1963 dmA->labels = dmB->labels; 1964 dmB->labels = listTmp; 1965 depthTmp = dmA->depthLabel; 1966 dmA->depthLabel = dmB->depthLabel; 1967 dmB->depthLabel = depthTmp; 1968 PetscFunctionReturn(0); 1969 } 1970 1971 PetscErrorCode DMSetFromOptions_NonRefinement_Plex(PetscOptionItems *PetscOptionsObject,DM dm) 1972 { 1973 DM_Plex *mesh = (DM_Plex*) dm->data; 1974 PetscErrorCode ierr; 1975 1976 PetscFunctionBegin; 1977 /* Handle viewing */ 1978 ierr = PetscOptionsBool("-dm_plex_print_set_values", "Output all set values info", "DMView", PETSC_FALSE, &mesh->printSetValues, NULL);CHKERRQ(ierr); 1979 ierr = PetscOptionsInt("-dm_plex_print_fem", "Debug output level all fem computations", "DMView", 0, &mesh->printFEM, NULL);CHKERRQ(ierr); 1980 ierr = PetscOptionsReal("-dm_plex_print_tol", "Tolerance for FEM output", "DMView", mesh->printTol, &mesh->printTol, NULL);CHKERRQ(ierr); 1981 /* Point Location */ 1982 ierr = PetscOptionsBool("-dm_plex_hash_location", "Use grid hashing for point location", "DMView", PETSC_FALSE, &mesh->useHashLocation, NULL);CHKERRQ(ierr); 1983 /* Partitioning and distribution */ 1984 ierr = PetscOptionsBool("-dm_plex_partition_balance", "Attempt to evenly divide points on partition boundary between processes", "DMView", PETSC_FALSE, &mesh->partitionBalance, NULL);CHKERRQ(ierr); 1985 /* Generation and remeshing */ 1986 ierr = PetscOptionsBool("-dm_plex_remesh_bd", "Allow changes to the boundary on remeshing", "DMView", PETSC_FALSE, &mesh->remeshBd, NULL);CHKERRQ(ierr); 1987 /* Projection behavior */ 1988 ierr = PetscOptionsInt("-dm_plex_max_projection_height", "Maxmimum mesh point height used to project locally", "DMPlexSetMaxProjectionHeight", 0, &mesh->maxProjectionHeight, NULL);CHKERRQ(ierr); 1989 ierr = PetscOptionsBool("-dm_plex_regular_refinement", "Use special nested projection algorithm for regular refinement", "DMPlexSetRegularRefinement", mesh->regularRefinement, &mesh->regularRefinement, NULL);CHKERRQ(ierr); 1990 1991 ierr = PetscPartitionerSetFromOptions(mesh->partitioner);CHKERRQ(ierr); 1992 PetscFunctionReturn(0); 1993 } 1994 1995 static PetscErrorCode DMSetFromOptions_Plex(PetscOptionItems *PetscOptionsObject,DM dm) 1996 { 1997 PetscInt refine = 0, coarsen = 0, r; 1998 PetscBool isHierarchy; 1999 PetscErrorCode ierr; 2000 2001 PetscFunctionBegin; 2002 PetscValidHeaderSpecific(dm, DM_CLASSID, 1); 2003 ierr = PetscOptionsHead(PetscOptionsObject,"DMPlex Options");CHKERRQ(ierr); 2004 /* Handle DMPlex refinement */ 2005 ierr = PetscOptionsInt("-dm_refine", "The number of uniform refinements", "DMCreate", refine, &refine, NULL);CHKERRQ(ierr); 2006 ierr = PetscOptionsInt("-dm_refine_hierarchy", "The number of uniform refinements", "DMCreate", refine, &refine, &isHierarchy);CHKERRQ(ierr); 2007 if (refine) {ierr = DMPlexSetRefinementUniform(dm, PETSC_TRUE);CHKERRQ(ierr);} 2008 if (refine && isHierarchy) { 2009 DM *dms, coarseDM; 2010 2011 ierr = DMGetCoarseDM(dm, &coarseDM);CHKERRQ(ierr); 2012 ierr = PetscObjectReference((PetscObject)coarseDM);CHKERRQ(ierr); 2013 ierr = PetscMalloc1(refine,&dms);CHKERRQ(ierr); 2014 ierr = DMRefineHierarchy(dm, refine, dms);CHKERRQ(ierr); 2015 /* Total hack since we do not pass in a pointer */ 2016 ierr = DMPlexSwap_Static(dm, dms[refine-1]);CHKERRQ(ierr); 2017 if (refine == 1) { 2018 ierr = DMSetCoarseDM(dm, dms[0]);CHKERRQ(ierr); 2019 ierr = DMPlexSetRegularRefinement(dm, PETSC_TRUE);CHKERRQ(ierr); 2020 } else { 2021 ierr = DMSetCoarseDM(dm, dms[refine-2]);CHKERRQ(ierr); 2022 ierr = DMPlexSetRegularRefinement(dm, PETSC_TRUE);CHKERRQ(ierr); 2023 ierr = DMSetCoarseDM(dms[0], dms[refine-1]);CHKERRQ(ierr); 2024 ierr = DMPlexSetRegularRefinement(dms[0], PETSC_TRUE);CHKERRQ(ierr); 2025 } 2026 ierr = DMSetCoarseDM(dms[refine-1], coarseDM);CHKERRQ(ierr); 2027 ierr = PetscObjectDereference((PetscObject)coarseDM);CHKERRQ(ierr); 2028 /* Free DMs */ 2029 for (r = 0; r < refine; ++r) { 2030 ierr = DMSetFromOptions_NonRefinement_Plex(PetscOptionsObject, dms[r]);CHKERRQ(ierr); 2031 ierr = DMDestroy(&dms[r]);CHKERRQ(ierr); 2032 } 2033 ierr = PetscFree(dms);CHKERRQ(ierr); 2034 } else { 2035 for (r = 0; r < refine; ++r) { 2036 DM refinedMesh; 2037 2038 ierr = DMSetFromOptions_NonRefinement_Plex(PetscOptionsObject, dm);CHKERRQ(ierr); 2039 ierr = DMRefine(dm, PetscObjectComm((PetscObject) dm), &refinedMesh);CHKERRQ(ierr); 2040 /* Total hack since we do not pass in a pointer */ 2041 ierr = DMPlexReplace_Static(dm, refinedMesh);CHKERRQ(ierr); 2042 ierr = DMSetFromOptions_NonRefinement_Plex(PetscOptionsObject, dm);CHKERRQ(ierr); 2043 ierr = DMDestroy(&refinedMesh);CHKERRQ(ierr); 2044 } 2045 } 2046 /* Handle DMPlex coarsening */ 2047 ierr = PetscOptionsInt("-dm_coarsen", "Coarsen the mesh", "DMCreate", coarsen, &coarsen, NULL);CHKERRQ(ierr); 2048 ierr = PetscOptionsInt("-dm_coarsen_hierarchy", "The number of coarsenings", "DMCreate", coarsen, &coarsen, &isHierarchy);CHKERRQ(ierr); 2049 if (coarsen && isHierarchy) { 2050 DM *dms; 2051 2052 ierr = PetscMalloc1(coarsen, &dms);CHKERRQ(ierr); 2053 ierr = DMCoarsenHierarchy(dm, coarsen, dms);CHKERRQ(ierr); 2054 /* Free DMs */ 2055 for (r = 0; r < coarsen; ++r) { 2056 ierr = DMSetFromOptions_NonRefinement_Plex(PetscOptionsObject, dms[r]);CHKERRQ(ierr); 2057 ierr = DMDestroy(&dms[r]);CHKERRQ(ierr); 2058 } 2059 ierr = PetscFree(dms);CHKERRQ(ierr); 2060 } else { 2061 for (r = 0; r < coarsen; ++r) { 2062 DM coarseMesh; 2063 2064 ierr = DMSetFromOptions_NonRefinement_Plex(PetscOptionsObject, dm);CHKERRQ(ierr); 2065 ierr = DMCoarsen(dm, PetscObjectComm((PetscObject) dm), &coarseMesh);CHKERRQ(ierr); 2066 /* Total hack since we do not pass in a pointer */ 2067 ierr = DMPlexReplace_Static(dm, coarseMesh);CHKERRQ(ierr); 2068 ierr = DMSetFromOptions_NonRefinement_Plex(PetscOptionsObject, dm);CHKERRQ(ierr); 2069 ierr = DMDestroy(&coarseMesh);CHKERRQ(ierr); 2070 } 2071 } 2072 /* Handle */ 2073 ierr = DMSetFromOptions_NonRefinement_Plex(PetscOptionsObject, dm);CHKERRQ(ierr); 2074 ierr = PetscOptionsTail();CHKERRQ(ierr); 2075 PetscFunctionReturn(0); 2076 } 2077 2078 static PetscErrorCode DMCreateGlobalVector_Plex(DM dm,Vec *vec) 2079 { 2080 PetscErrorCode ierr; 2081 2082 PetscFunctionBegin; 2083 ierr = DMCreateGlobalVector_Section_Private(dm,vec);CHKERRQ(ierr); 2084 /* ierr = VecSetOperation(*vec, VECOP_DUPLICATE, (void(*)(void)) VecDuplicate_MPI_DM);CHKERRQ(ierr); */ 2085 ierr = VecSetOperation(*vec, VECOP_VIEW, (void (*)(void)) VecView_Plex);CHKERRQ(ierr); 2086 ierr = VecSetOperation(*vec, VECOP_VIEWNATIVE, (void (*)(void)) VecView_Plex_Native);CHKERRQ(ierr); 2087 ierr = VecSetOperation(*vec, VECOP_LOAD, (void (*)(void)) VecLoad_Plex);CHKERRQ(ierr); 2088 ierr = VecSetOperation(*vec, VECOP_LOADNATIVE, (void (*)(void)) VecLoad_Plex_Native);CHKERRQ(ierr); 2089 PetscFunctionReturn(0); 2090 } 2091 2092 static PetscErrorCode DMCreateLocalVector_Plex(DM dm,Vec *vec) 2093 { 2094 PetscErrorCode ierr; 2095 2096 PetscFunctionBegin; 2097 ierr = DMCreateLocalVector_Section_Private(dm,vec);CHKERRQ(ierr); 2098 ierr = VecSetOperation(*vec, VECOP_VIEW, (void (*)(void)) VecView_Plex_Local);CHKERRQ(ierr); 2099 ierr = VecSetOperation(*vec, VECOP_LOAD, (void (*)(void)) VecLoad_Plex_Local);CHKERRQ(ierr); 2100 PetscFunctionReturn(0); 2101 } 2102 2103 static PetscErrorCode DMGetDimPoints_Plex(DM dm, PetscInt dim, PetscInt *pStart, PetscInt *pEnd) 2104 { 2105 PetscInt depth, d; 2106 PetscErrorCode ierr; 2107 2108 PetscFunctionBegin; 2109 ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr); 2110 if (depth == 1) { 2111 ierr = DMGetDimension(dm, &d);CHKERRQ(ierr); 2112 if (dim == 0) {ierr = DMPlexGetDepthStratum(dm, dim, pStart, pEnd);CHKERRQ(ierr);} 2113 else if (dim == d) {ierr = DMPlexGetDepthStratum(dm, 1, pStart, pEnd);CHKERRQ(ierr);} 2114 else {*pStart = 0; *pEnd = 0;} 2115 } else { 2116 ierr = DMPlexGetDepthStratum(dm, dim, pStart, pEnd);CHKERRQ(ierr); 2117 } 2118 PetscFunctionReturn(0); 2119 } 2120 2121 static PetscErrorCode DMGetNeighors_Plex(DM dm, PetscInt *nranks, const PetscMPIInt *ranks[]) 2122 { 2123 PetscSF sf; 2124 PetscErrorCode ierr; 2125 2126 PetscFunctionBegin; 2127 ierr = DMGetPointSF(dm, &sf);CHKERRQ(ierr); 2128 ierr = PetscSFGetRanks(sf, nranks, ranks, NULL, NULL, NULL);CHKERRQ(ierr); 2129 PetscFunctionReturn(0); 2130 } 2131 2132 static PetscErrorCode DMHasCreateInjection_Plex(DM dm, PetscBool *flg) 2133 { 2134 PetscFunctionBegin; 2135 PetscValidHeaderSpecific(dm,DM_CLASSID,1); 2136 PetscValidPointer(flg,2); 2137 *flg = PETSC_TRUE; 2138 PetscFunctionReturn(0); 2139 } 2140 2141 static PetscErrorCode DMInitialize_Plex(DM dm) 2142 { 2143 PetscErrorCode ierr; 2144 2145 PetscFunctionBegin; 2146 dm->ops->view = DMView_Plex; 2147 dm->ops->load = DMLoad_Plex; 2148 dm->ops->setfromoptions = DMSetFromOptions_Plex; 2149 dm->ops->clone = DMClone_Plex; 2150 dm->ops->setup = DMSetUp_Plex; 2151 dm->ops->createdefaultsection = DMCreateDefaultSection_Plex; 2152 dm->ops->createdefaultconstraints = DMCreateDefaultConstraints_Plex; 2153 dm->ops->createglobalvector = DMCreateGlobalVector_Plex; 2154 dm->ops->createlocalvector = DMCreateLocalVector_Plex; 2155 dm->ops->getlocaltoglobalmapping = NULL; 2156 dm->ops->createfieldis = NULL; 2157 dm->ops->createcoordinatedm = DMCreateCoordinateDM_Plex; 2158 dm->ops->getcoloring = NULL; 2159 dm->ops->creatematrix = DMCreateMatrix_Plex; 2160 dm->ops->createinterpolation = DMCreateInterpolation_Plex; 2161 dm->ops->createmassmatrix = DMCreateMassMatrix_Plex; 2162 dm->ops->getaggregates = NULL; 2163 dm->ops->getinjection = DMCreateInjection_Plex; 2164 dm->ops->hascreateinjection = DMHasCreateInjection_Plex; 2165 dm->ops->refine = DMRefine_Plex; 2166 dm->ops->coarsen = DMCoarsen_Plex; 2167 dm->ops->refinehierarchy = DMRefineHierarchy_Plex; 2168 dm->ops->coarsenhierarchy = DMCoarsenHierarchy_Plex; 2169 dm->ops->adaptlabel = DMAdaptLabel_Plex; 2170 dm->ops->adaptmetric = DMAdaptMetric_Plex; 2171 dm->ops->globaltolocalbegin = NULL; 2172 dm->ops->globaltolocalend = NULL; 2173 dm->ops->localtoglobalbegin = NULL; 2174 dm->ops->localtoglobalend = NULL; 2175 dm->ops->destroy = DMDestroy_Plex; 2176 dm->ops->createsubdm = DMCreateSubDM_Plex; 2177 dm->ops->createsuperdm = DMCreateSuperDM_Plex; 2178 dm->ops->getdimpoints = DMGetDimPoints_Plex; 2179 dm->ops->locatepoints = DMLocatePoints_Plex; 2180 dm->ops->projectfunctionlocal = DMProjectFunctionLocal_Plex; 2181 dm->ops->projectfunctionlabellocal = DMProjectFunctionLabelLocal_Plex; 2182 dm->ops->projectfieldlocal = DMProjectFieldLocal_Plex; 2183 dm->ops->projectfieldlabellocal = DMProjectFieldLabelLocal_Plex; 2184 dm->ops->computel2diff = DMComputeL2Diff_Plex; 2185 dm->ops->computel2gradientdiff = DMComputeL2GradientDiff_Plex; 2186 dm->ops->computel2fielddiff = DMComputeL2FieldDiff_Plex; 2187 dm->ops->getneighbors = DMGetNeighors_Plex; 2188 ierr = PetscObjectComposeFunction((PetscObject)dm,"DMPlexInsertBoundaryValues_C",DMPlexInsertBoundaryValues_Plex);CHKERRQ(ierr); 2189 ierr = PetscObjectComposeFunction((PetscObject)dm,"DMSetUpGLVisViewer_C",DMSetUpGLVisViewer_Plex);CHKERRQ(ierr); 2190 PetscFunctionReturn(0); 2191 } 2192 2193 PETSC_INTERN PetscErrorCode DMClone_Plex(DM dm, DM *newdm) 2194 { 2195 DM_Plex *mesh = (DM_Plex *) dm->data; 2196 PetscErrorCode ierr; 2197 2198 PetscFunctionBegin; 2199 mesh->refct++; 2200 (*newdm)->data = mesh; 2201 ierr = PetscObjectChangeTypeName((PetscObject) *newdm, DMPLEX);CHKERRQ(ierr); 2202 ierr = DMInitialize_Plex(*newdm);CHKERRQ(ierr); 2203 PetscFunctionReturn(0); 2204 } 2205 2206 /*MC 2207 DMPLEX = "plex" - A DM object that encapsulates an unstructured mesh, or CW Complex, which can be expressed using a Hasse Diagram. 2208 In the local representation, Vecs contain all unknowns in the interior and shared boundary. This is 2209 specified by a PetscSection object. Ownership in the global representation is determined by 2210 ownership of the underlying DMPlex points. This is specified by another PetscSection object. 2211 2212 Options Database Keys: 2213 + -dm_view :mesh.tex:ascii_latex - View the mesh in LaTeX/TikZ 2214 . -dm_plex_view_scale <num> - Scale the TikZ 2215 - -dm_plex_print_fem <num> - View FEM assembly information, such as element vectors and matrices 2216 2217 2218 Level: intermediate 2219 2220 .seealso: DMType, DMPlexCreate(), DMCreate(), DMSetType() 2221 M*/ 2222 2223 PETSC_EXTERN PetscErrorCode DMCreate_Plex(DM dm) 2224 { 2225 DM_Plex *mesh; 2226 PetscInt unit, d; 2227 PetscErrorCode ierr; 2228 2229 PetscFunctionBegin; 2230 PetscValidHeaderSpecific(dm, DM_CLASSID, 1); 2231 ierr = PetscNewLog(dm,&mesh);CHKERRQ(ierr); 2232 dm->dim = 0; 2233 dm->data = mesh; 2234 2235 mesh->refct = 1; 2236 ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &mesh->coneSection);CHKERRQ(ierr); 2237 mesh->maxConeSize = 0; 2238 mesh->cones = NULL; 2239 mesh->coneOrientations = NULL; 2240 ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &mesh->supportSection);CHKERRQ(ierr); 2241 mesh->maxSupportSize = 0; 2242 mesh->supports = NULL; 2243 mesh->refinementUniform = PETSC_TRUE; 2244 mesh->refinementLimit = -1.0; 2245 2246 mesh->facesTmp = NULL; 2247 2248 mesh->tetgenOpts = NULL; 2249 mesh->triangleOpts = NULL; 2250 ierr = PetscPartitionerCreate(PetscObjectComm((PetscObject)dm), &mesh->partitioner);CHKERRQ(ierr); 2251 mesh->remeshBd = PETSC_FALSE; 2252 2253 mesh->subpointMap = NULL; 2254 2255 for (unit = 0; unit < NUM_PETSC_UNITS; ++unit) mesh->scale[unit] = 1.0; 2256 2257 mesh->regularRefinement = PETSC_FALSE; 2258 mesh->depthState = -1; 2259 mesh->globalVertexNumbers = NULL; 2260 mesh->globalCellNumbers = NULL; 2261 mesh->anchorSection = NULL; 2262 mesh->anchorIS = NULL; 2263 mesh->createanchors = NULL; 2264 mesh->computeanchormatrix = NULL; 2265 mesh->parentSection = NULL; 2266 mesh->parents = NULL; 2267 mesh->childIDs = NULL; 2268 mesh->childSection = NULL; 2269 mesh->children = NULL; 2270 mesh->referenceTree = NULL; 2271 mesh->getchildsymmetry = NULL; 2272 for (d = 0; d < 8; ++d) mesh->hybridPointMax[d] = PETSC_DETERMINE; 2273 mesh->vtkCellHeight = 0; 2274 mesh->useAnchors = PETSC_FALSE; 2275 2276 mesh->maxProjectionHeight = 0; 2277 2278 mesh->printSetValues = PETSC_FALSE; 2279 mesh->printFEM = 0; 2280 mesh->printTol = 1.0e-10; 2281 2282 ierr = DMInitialize_Plex(dm);CHKERRQ(ierr); 2283 PetscFunctionReturn(0); 2284 } 2285 2286 /*@ 2287 DMPlexCreate - Creates a DMPlex object, which encapsulates an unstructured mesh, or CW complex, which can be expressed using a Hasse Diagram. 2288 2289 Collective on MPI_Comm 2290 2291 Input Parameter: 2292 . comm - The communicator for the DMPlex object 2293 2294 Output Parameter: 2295 . mesh - The DMPlex object 2296 2297 Level: beginner 2298 2299 .keywords: DMPlex, create 2300 @*/ 2301 PetscErrorCode DMPlexCreate(MPI_Comm comm, DM *mesh) 2302 { 2303 PetscErrorCode ierr; 2304 2305 PetscFunctionBegin; 2306 PetscValidPointer(mesh,2); 2307 ierr = DMCreate(comm, mesh);CHKERRQ(ierr); 2308 ierr = DMSetType(*mesh, DMPLEX);CHKERRQ(ierr); 2309 PetscFunctionReturn(0); 2310 } 2311 2312 /* 2313 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 2314 */ 2315 static PetscErrorCode DMPlexBuildFromCellList_Parallel_Private(DM dm, PetscInt numCells, PetscInt numVertices, PetscInt numCorners, const int cells[], PetscSF *sfVert) 2316 { 2317 PetscSF sfPoint; 2318 PetscLayout vLayout; 2319 PetscHashI vhash; 2320 PetscSFNode *remoteVerticesAdj, *vertexLocal, *vertexOwner, *remoteVertex; 2321 const PetscInt *vrange; 2322 PetscInt numVerticesAdj, off, *verticesAdj, numVerticesGhost = 0, *localVertex, *cone, c, p, v, g; 2323 PETSC_UNUSED PetscHashIIter ret, iter; 2324 PetscMPIInt rank, size; 2325 PetscErrorCode ierr; 2326 2327 PetscFunctionBegin; 2328 ierr = MPI_Comm_rank(PetscObjectComm((PetscObject) dm), &rank);CHKERRQ(ierr); 2329 ierr = MPI_Comm_size(PetscObjectComm((PetscObject) dm), &size);CHKERRQ(ierr); 2330 /* Partition vertices */ 2331 ierr = PetscLayoutCreate(PetscObjectComm((PetscObject) dm), &vLayout);CHKERRQ(ierr); 2332 ierr = PetscLayoutSetLocalSize(vLayout, numVertices);CHKERRQ(ierr); 2333 ierr = PetscLayoutSetBlockSize(vLayout, 1);CHKERRQ(ierr); 2334 ierr = PetscLayoutSetUp(vLayout);CHKERRQ(ierr); 2335 ierr = PetscLayoutGetRanges(vLayout, &vrange);CHKERRQ(ierr); 2336 /* Count vertices and map them to procs */ 2337 PetscHashICreate(vhash); 2338 for (c = 0; c < numCells; ++c) { 2339 for (p = 0; p < numCorners; ++p) { 2340 PetscHashIPut(vhash, cells[c*numCorners+p], ret, iter); 2341 } 2342 } 2343 PetscHashISize(vhash, numVerticesAdj); 2344 ierr = PetscMalloc1(numVerticesAdj, &verticesAdj);CHKERRQ(ierr); 2345 off = 0; ierr = PetscHashIGetKeys(vhash, &off, verticesAdj);CHKERRQ(ierr); 2346 if (off != numVerticesAdj) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid number of local vertices %D should be %D", off, numVerticesAdj); 2347 ierr = PetscSortInt(numVerticesAdj, verticesAdj);CHKERRQ(ierr); 2348 ierr = PetscMalloc1(numVerticesAdj, &remoteVerticesAdj);CHKERRQ(ierr); 2349 for (v = 0; v < numVerticesAdj; ++v) { 2350 const PetscInt gv = verticesAdj[v]; 2351 PetscInt vrank; 2352 2353 ierr = PetscFindInt(gv, size+1, vrange, &vrank);CHKERRQ(ierr); 2354 vrank = vrank < 0 ? -(vrank+2) : vrank; 2355 remoteVerticesAdj[v].index = gv - vrange[vrank]; 2356 remoteVerticesAdj[v].rank = vrank; 2357 } 2358 /* Create cones */ 2359 ierr = DMPlexSetChart(dm, 0, numCells+numVerticesAdj);CHKERRQ(ierr); 2360 for (c = 0; c < numCells; ++c) {ierr = DMPlexSetConeSize(dm, c, numCorners);CHKERRQ(ierr);} 2361 ierr = DMSetUp(dm);CHKERRQ(ierr); 2362 ierr = DMGetWorkArray(dm, numCorners, MPIU_INT, &cone);CHKERRQ(ierr); 2363 for (c = 0; c < numCells; ++c) { 2364 for (p = 0; p < numCorners; ++p) { 2365 const PetscInt gv = cells[c*numCorners+p]; 2366 PetscInt lv; 2367 2368 ierr = PetscFindInt(gv, numVerticesAdj, verticesAdj, &lv);CHKERRQ(ierr); 2369 if (lv < 0) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Could not find global vertex %D in local connectivity", gv); 2370 cone[p] = lv+numCells; 2371 } 2372 ierr = DMPlexSetCone(dm, c, cone);CHKERRQ(ierr); 2373 } 2374 ierr = DMRestoreWorkArray(dm, numCorners, MPIU_INT, &cone);CHKERRQ(ierr); 2375 /* Create SF for vertices */ 2376 ierr = PetscSFCreate(PetscObjectComm((PetscObject)dm), sfVert);CHKERRQ(ierr); 2377 ierr = PetscObjectSetName((PetscObject) *sfVert, "Vertex Ownership SF");CHKERRQ(ierr); 2378 ierr = PetscSFSetFromOptions(*sfVert);CHKERRQ(ierr); 2379 ierr = PetscSFSetGraph(*sfVert, numVertices, numVerticesAdj, NULL, PETSC_OWN_POINTER, remoteVerticesAdj, PETSC_OWN_POINTER);CHKERRQ(ierr); 2380 ierr = PetscFree(verticesAdj);CHKERRQ(ierr); 2381 /* Build pointSF */ 2382 ierr = PetscMalloc2(numVerticesAdj, &vertexLocal, numVertices, &vertexOwner);CHKERRQ(ierr); 2383 for (v = 0; v < numVerticesAdj; ++v) {vertexLocal[v].index = v+numCells; vertexLocal[v].rank = rank;} 2384 for (v = 0; v < numVertices; ++v) {vertexOwner[v].index = -1; vertexOwner[v].rank = -1;} 2385 ierr = PetscSFReduceBegin(*sfVert, MPIU_2INT, vertexLocal, vertexOwner, MPI_MAXLOC);CHKERRQ(ierr); 2386 ierr = PetscSFReduceEnd(*sfVert, MPIU_2INT, vertexLocal, vertexOwner, MPI_MAXLOC);CHKERRQ(ierr); 2387 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); 2388 ierr = PetscSFBcastBegin(*sfVert, MPIU_2INT, vertexOwner, vertexLocal);CHKERRQ(ierr); 2389 ierr = PetscSFBcastEnd(*sfVert, MPIU_2INT, vertexOwner, vertexLocal);CHKERRQ(ierr); 2390 for (v = 0; v < numVerticesAdj; ++v) if (vertexLocal[v].rank != rank) ++numVerticesGhost; 2391 ierr = PetscMalloc1(numVerticesGhost, &localVertex);CHKERRQ(ierr); 2392 ierr = PetscMalloc1(numVerticesGhost, &remoteVertex);CHKERRQ(ierr); 2393 for (v = 0, g = 0; v < numVerticesAdj; ++v) { 2394 if (vertexLocal[v].rank != rank) { 2395 localVertex[g] = v+numCells; 2396 remoteVertex[g].index = vertexLocal[v].index; 2397 remoteVertex[g].rank = vertexLocal[v].rank; 2398 ++g; 2399 } 2400 } 2401 ierr = PetscFree2(vertexLocal, vertexOwner);CHKERRQ(ierr); 2402 if (g != numVerticesGhost) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid number of vertex ghosts %D should be %D", g, numVerticesGhost); 2403 ierr = DMGetPointSF(dm, &sfPoint);CHKERRQ(ierr); 2404 ierr = PetscObjectSetName((PetscObject) sfPoint, "point SF");CHKERRQ(ierr); 2405 ierr = PetscSFSetGraph(sfPoint, numCells+numVerticesAdj, numVerticesGhost, localVertex, PETSC_OWN_POINTER, remoteVertex, PETSC_OWN_POINTER);CHKERRQ(ierr); 2406 ierr = PetscLayoutDestroy(&vLayout);CHKERRQ(ierr); 2407 PetscHashIDestroy(vhash); 2408 /* Fill in the rest of the topology structure */ 2409 ierr = DMPlexSymmetrize(dm);CHKERRQ(ierr); 2410 ierr = DMPlexStratify(dm);CHKERRQ(ierr); 2411 PetscFunctionReturn(0); 2412 } 2413 2414 /* 2415 This takes as input the coordinates for each owned vertex 2416 */ 2417 static PetscErrorCode DMPlexBuildCoordinates_Parallel_Private(DM dm, PetscInt spaceDim, PetscInt numCells, PetscInt numV, PetscSF sfVert, const PetscReal vertexCoords[]) 2418 { 2419 PetscSection coordSection; 2420 Vec coordinates; 2421 PetscScalar *coords; 2422 PetscInt numVertices, numVerticesAdj, coordSize, v; 2423 PetscErrorCode ierr; 2424 2425 PetscFunctionBegin; 2426 ierr = DMSetCoordinateDim(dm, spaceDim);CHKERRQ(ierr); 2427 ierr = PetscSFGetGraph(sfVert, &numVertices, &numVerticesAdj, NULL, NULL);CHKERRQ(ierr); 2428 ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr); 2429 ierr = PetscSectionSetNumFields(coordSection, 1);CHKERRQ(ierr); 2430 ierr = PetscSectionSetFieldComponents(coordSection, 0, spaceDim);CHKERRQ(ierr); 2431 ierr = PetscSectionSetChart(coordSection, numCells, numCells + numVerticesAdj);CHKERRQ(ierr); 2432 for (v = numCells; v < numCells+numVerticesAdj; ++v) { 2433 ierr = PetscSectionSetDof(coordSection, v, spaceDim);CHKERRQ(ierr); 2434 ierr = PetscSectionSetFieldDof(coordSection, v, 0, spaceDim);CHKERRQ(ierr); 2435 } 2436 ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr); 2437 ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr); 2438 ierr = VecCreate(PetscObjectComm((PetscObject)dm), &coordinates);CHKERRQ(ierr); 2439 ierr = VecSetBlockSize(coordinates, spaceDim);CHKERRQ(ierr); 2440 ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr); 2441 ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr); 2442 ierr = VecSetType(coordinates,VECSTANDARD);CHKERRQ(ierr); 2443 ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr); 2444 { 2445 MPI_Datatype coordtype; 2446 2447 /* Need a temp buffer for coords if we have complex/single */ 2448 ierr = MPI_Type_contiguous(spaceDim, MPIU_SCALAR, &coordtype);CHKERRQ(ierr); 2449 ierr = MPI_Type_commit(&coordtype);CHKERRQ(ierr); 2450 #if defined(PETSC_USE_COMPLEX) 2451 { 2452 PetscScalar *svertexCoords; 2453 PetscInt i; 2454 ierr = PetscMalloc1(numV*spaceDim,&svertexCoords);CHKERRQ(ierr); 2455 for (i=0; i<numV*spaceDim; i++) svertexCoords[i] = vertexCoords[i]; 2456 ierr = PetscSFBcastBegin(sfVert, coordtype, svertexCoords, coords);CHKERRQ(ierr); 2457 ierr = PetscSFBcastEnd(sfVert, coordtype, svertexCoords, coords);CHKERRQ(ierr); 2458 ierr = PetscFree(svertexCoords);CHKERRQ(ierr); 2459 } 2460 #else 2461 ierr = PetscSFBcastBegin(sfVert, coordtype, vertexCoords, coords);CHKERRQ(ierr); 2462 ierr = PetscSFBcastEnd(sfVert, coordtype, vertexCoords, coords);CHKERRQ(ierr); 2463 #endif 2464 ierr = MPI_Type_free(&coordtype);CHKERRQ(ierr); 2465 } 2466 ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr); 2467 ierr = DMSetCoordinatesLocal(dm, coordinates);CHKERRQ(ierr); 2468 ierr = VecDestroy(&coordinates);CHKERRQ(ierr); 2469 PetscFunctionReturn(0); 2470 } 2471 2472 /*@C 2473 DMPlexCreateFromCellListParallel - This takes as input common mesh generator output, a list of the vertices for each cell, and produces a DM 2474 2475 Input Parameters: 2476 + comm - The communicator 2477 . dim - The topological dimension of the mesh 2478 . numCells - The number of cells owned by this process 2479 . numVertices - The number of vertices owned by this process 2480 . numCorners - The number of vertices for each cell 2481 . interpolate - Flag indicating that intermediate mesh entities (faces, edges) should be created automatically 2482 . cells - An array of numCells*numCorners numbers, the global vertex numbers for each cell 2483 . spaceDim - The spatial dimension used for coordinates 2484 - vertexCoords - An array of numVertices*spaceDim numbers, the coordinates of each vertex 2485 2486 Output Parameter: 2487 + dm - The DM 2488 - vertexSF - Optional, SF describing complete vertex ownership 2489 2490 Note: Two triangles sharing a face 2491 $ 2492 $ 2 2493 $ / | \ 2494 $ / | \ 2495 $ / | \ 2496 $ 0 0 | 1 3 2497 $ \ | / 2498 $ \ | / 2499 $ \ | / 2500 $ 1 2501 would have input 2502 $ numCells = 2, numVertices = 4 2503 $ cells = [0 1 2 1 3 2] 2504 $ 2505 which would result in the DMPlex 2506 $ 2507 $ 4 2508 $ / | \ 2509 $ / | \ 2510 $ / | \ 2511 $ 2 0 | 1 5 2512 $ \ | / 2513 $ \ | / 2514 $ \ | / 2515 $ 3 2516 2517 Level: beginner 2518 2519 .seealso: DMPlexCreateFromCellList(), DMPlexCreateFromDAG(), DMPlexCreate() 2520 @*/ 2521 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) 2522 { 2523 PetscSF sfVert; 2524 PetscErrorCode ierr; 2525 2526 PetscFunctionBegin; 2527 ierr = DMCreate(comm, dm);CHKERRQ(ierr); 2528 ierr = DMSetType(*dm, DMPLEX);CHKERRQ(ierr); 2529 PetscValidLogicalCollectiveInt(*dm, dim, 2); 2530 PetscValidLogicalCollectiveInt(*dm, spaceDim, 8); 2531 ierr = DMSetDimension(*dm, dim);CHKERRQ(ierr); 2532 ierr = DMPlexBuildFromCellList_Parallel_Private(*dm, numCells, numVertices, numCorners, cells, &sfVert);CHKERRQ(ierr); 2533 if (interpolate) { 2534 DM idm; 2535 2536 ierr = DMPlexInterpolate(*dm, &idm);CHKERRQ(ierr); 2537 ierr = DMDestroy(dm);CHKERRQ(ierr); 2538 *dm = idm; 2539 } 2540 ierr = DMPlexBuildCoordinates_Parallel_Private(*dm, spaceDim, numCells, numVertices,sfVert, vertexCoords);CHKERRQ(ierr); 2541 if (vertexSF) *vertexSF = sfVert; 2542 else {ierr = PetscSFDestroy(&sfVert);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 2548 */ 2549 static PetscErrorCode DMPlexBuildFromCellList_Private(DM dm, PetscInt numCells, PetscInt numVertices, PetscInt numCorners, const int cells[]) 2550 { 2551 PetscInt *cone, c, p; 2552 PetscErrorCode ierr; 2553 2554 PetscFunctionBegin; 2555 ierr = DMPlexSetChart(dm, 0, numCells+numVertices);CHKERRQ(ierr); 2556 for (c = 0; c < numCells; ++c) { 2557 ierr = DMPlexSetConeSize(dm, c, numCorners);CHKERRQ(ierr); 2558 } 2559 ierr = DMSetUp(dm);CHKERRQ(ierr); 2560 ierr = DMGetWorkArray(dm, numCorners, MPIU_INT, &cone);CHKERRQ(ierr); 2561 for (c = 0; c < numCells; ++c) { 2562 for (p = 0; p < numCorners; ++p) { 2563 cone[p] = cells[c*numCorners+p]+numCells; 2564 } 2565 ierr = DMPlexSetCone(dm, c, cone);CHKERRQ(ierr); 2566 } 2567 ierr = DMRestoreWorkArray(dm, numCorners, MPIU_INT, &cone);CHKERRQ(ierr); 2568 ierr = DMPlexSymmetrize(dm);CHKERRQ(ierr); 2569 ierr = DMPlexStratify(dm);CHKERRQ(ierr); 2570 PetscFunctionReturn(0); 2571 } 2572 2573 /* 2574 This takes as input the coordinates for each vertex 2575 */ 2576 static PetscErrorCode DMPlexBuildCoordinates_Private(DM dm, PetscInt spaceDim, PetscInt numCells, PetscInt numVertices, const double vertexCoords[]) 2577 { 2578 PetscSection coordSection; 2579 Vec coordinates; 2580 DM cdm; 2581 PetscScalar *coords; 2582 PetscInt v, d; 2583 PetscErrorCode ierr; 2584 2585 PetscFunctionBegin; 2586 ierr = DMSetCoordinateDim(dm, spaceDim);CHKERRQ(ierr); 2587 ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr); 2588 ierr = PetscSectionSetNumFields(coordSection, 1);CHKERRQ(ierr); 2589 ierr = PetscSectionSetFieldComponents(coordSection, 0, spaceDim);CHKERRQ(ierr); 2590 ierr = PetscSectionSetChart(coordSection, numCells, numCells + numVertices);CHKERRQ(ierr); 2591 for (v = numCells; v < numCells+numVertices; ++v) { 2592 ierr = PetscSectionSetDof(coordSection, v, spaceDim);CHKERRQ(ierr); 2593 ierr = PetscSectionSetFieldDof(coordSection, v, 0, spaceDim);CHKERRQ(ierr); 2594 } 2595 ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr); 2596 2597 ierr = DMGetCoordinateDM(dm, &cdm);CHKERRQ(ierr); 2598 ierr = DMCreateLocalVector(cdm, &coordinates);CHKERRQ(ierr); 2599 ierr = VecSetBlockSize(coordinates, spaceDim);CHKERRQ(ierr); 2600 ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr); 2601 ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr); 2602 for (v = 0; v < numVertices; ++v) { 2603 for (d = 0; d < spaceDim; ++d) { 2604 coords[v*spaceDim+d] = vertexCoords[v*spaceDim+d]; 2605 } 2606 } 2607 ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr); 2608 ierr = DMSetCoordinatesLocal(dm, coordinates);CHKERRQ(ierr); 2609 ierr = VecDestroy(&coordinates);CHKERRQ(ierr); 2610 PetscFunctionReturn(0); 2611 } 2612 2613 /*@C 2614 DMPlexCreateFromCellList - This takes as input common mesh generator output, a list of the vertices for each cell, and produces a DM 2615 2616 Input Parameters: 2617 + comm - The communicator 2618 . dim - The topological dimension of the mesh 2619 . numCells - The number of cells 2620 . numVertices - The number of vertices 2621 . numCorners - The number of vertices for each cell 2622 . interpolate - Flag indicating that intermediate mesh entities (faces, edges) should be created automatically 2623 . cells - An array of numCells*numCorners numbers, the vertices for each cell 2624 . spaceDim - The spatial dimension used for coordinates 2625 - vertexCoords - An array of numVertices*spaceDim numbers, the coordinates of each vertex 2626 2627 Output Parameter: 2628 . dm - The DM 2629 2630 Note: Two triangles sharing a face 2631 $ 2632 $ 2 2633 $ / | \ 2634 $ / | \ 2635 $ / | \ 2636 $ 0 0 | 1 3 2637 $ \ | / 2638 $ \ | / 2639 $ \ | / 2640 $ 1 2641 would have input 2642 $ numCells = 2, numVertices = 4 2643 $ cells = [0 1 2 1 3 2] 2644 $ 2645 which would result in the DMPlex 2646 $ 2647 $ 4 2648 $ / | \ 2649 $ / | \ 2650 $ / | \ 2651 $ 2 0 | 1 5 2652 $ \ | / 2653 $ \ | / 2654 $ \ | / 2655 $ 3 2656 2657 Level: beginner 2658 2659 .seealso: DMPlexCreateFromDAG(), DMPlexCreate() 2660 @*/ 2661 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) 2662 { 2663 PetscErrorCode ierr; 2664 2665 PetscFunctionBegin; 2666 ierr = DMCreate(comm, dm);CHKERRQ(ierr); 2667 ierr = DMSetType(*dm, DMPLEX);CHKERRQ(ierr); 2668 ierr = DMSetDimension(*dm, dim);CHKERRQ(ierr); 2669 ierr = DMPlexBuildFromCellList_Private(*dm, numCells, numVertices, numCorners, cells);CHKERRQ(ierr); 2670 if (interpolate) { 2671 DM idm; 2672 2673 ierr = DMPlexInterpolate(*dm, &idm);CHKERRQ(ierr); 2674 ierr = DMDestroy(dm);CHKERRQ(ierr); 2675 *dm = idm; 2676 } 2677 ierr = DMPlexBuildCoordinates_Private(*dm, spaceDim, numCells, numVertices, vertexCoords);CHKERRQ(ierr); 2678 PetscFunctionReturn(0); 2679 } 2680 2681 /*@ 2682 DMPlexCreateFromDAG - This takes as input the adjacency-list representation of the Directed Acyclic Graph (Hasse Diagram) encoding a mesh, and produces a DM 2683 2684 Input Parameters: 2685 + dm - The empty DM object, usually from DMCreate() and DMSetDimension() 2686 . depth - The depth of the DAG 2687 . numPoints - The number of points at each depth 2688 . coneSize - The cone size of each point 2689 . cones - The concatenation of the cone points for each point, the cone list must be oriented correctly for each point 2690 . coneOrientations - The orientation of each cone point 2691 - vertexCoords - An array of numVertices*dim numbers, the coordinates of each vertex 2692 2693 Output Parameter: 2694 . dm - The DM 2695 2696 Note: Two triangles sharing a face would have input 2697 $ depth = 1, numPoints = [4 2], coneSize = [3 3 0 0 0 0] 2698 $ cones = [2 3 4 3 5 4], coneOrientations = [0 0 0 0 0 0] 2699 $ vertexCoords = [-1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0] 2700 $ 2701 which would result in the DMPlex 2702 $ 2703 $ 4 2704 $ / | \ 2705 $ / | \ 2706 $ / | \ 2707 $ 2 0 | 1 5 2708 $ \ | / 2709 $ \ | / 2710 $ \ | / 2711 $ 3 2712 $ 2713 $ Notice that all points are numbered consecutively, unlikely DMPlexCreateFromCellList() 2714 2715 Level: advanced 2716 2717 .seealso: DMPlexCreateFromCellList(), DMPlexCreate() 2718 @*/ 2719 PetscErrorCode DMPlexCreateFromDAG(DM dm, PetscInt depth, const PetscInt numPoints[], const PetscInt coneSize[], const PetscInt cones[], const PetscInt coneOrientations[], const PetscScalar vertexCoords[]) 2720 { 2721 Vec coordinates; 2722 PetscSection coordSection; 2723 PetscScalar *coords; 2724 PetscInt coordSize, firstVertex = -1, pStart = 0, pEnd = 0, p, v, dim, dimEmbed, d, off; 2725 PetscErrorCode ierr; 2726 2727 PetscFunctionBegin; 2728 ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr); 2729 ierr = DMGetCoordinateDim(dm, &dimEmbed);CHKERRQ(ierr); 2730 if (dimEmbed < dim) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Embedding dimension %d cannot be less than intrinsic dimension %d",dimEmbed,dim); 2731 for (d = 0; d <= depth; ++d) pEnd += numPoints[d]; 2732 ierr = DMPlexSetChart(dm, pStart, pEnd);CHKERRQ(ierr); 2733 for (p = pStart; p < pEnd; ++p) { 2734 ierr = DMPlexSetConeSize(dm, p, coneSize[p-pStart]);CHKERRQ(ierr); 2735 if (firstVertex < 0 && !coneSize[p - pStart]) { 2736 firstVertex = p - pStart; 2737 } 2738 } 2739 if (firstVertex < 0 && numPoints[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Expected %d vertices but could not find any", numPoints[0]); 2740 ierr = DMSetUp(dm);CHKERRQ(ierr); /* Allocate space for cones */ 2741 for (p = pStart, off = 0; p < pEnd; off += coneSize[p-pStart], ++p) { 2742 ierr = DMPlexSetCone(dm, p, &cones[off]);CHKERRQ(ierr); 2743 ierr = DMPlexSetConeOrientation(dm, p, &coneOrientations[off]);CHKERRQ(ierr); 2744 } 2745 ierr = DMPlexSymmetrize(dm);CHKERRQ(ierr); 2746 ierr = DMPlexStratify(dm);CHKERRQ(ierr); 2747 /* Build coordinates */ 2748 ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr); 2749 ierr = PetscSectionSetNumFields(coordSection, 1);CHKERRQ(ierr); 2750 ierr = PetscSectionSetFieldComponents(coordSection, 0, dimEmbed);CHKERRQ(ierr); 2751 ierr = PetscSectionSetChart(coordSection, firstVertex, firstVertex+numPoints[0]);CHKERRQ(ierr); 2752 for (v = firstVertex; v < firstVertex+numPoints[0]; ++v) { 2753 ierr = PetscSectionSetDof(coordSection, v, dimEmbed);CHKERRQ(ierr); 2754 ierr = PetscSectionSetFieldDof(coordSection, v, 0, dimEmbed);CHKERRQ(ierr); 2755 } 2756 ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr); 2757 ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr); 2758 ierr = VecCreate(PETSC_COMM_SELF, &coordinates);CHKERRQ(ierr); 2759 ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr); 2760 ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr); 2761 ierr = VecSetBlockSize(coordinates, dimEmbed);CHKERRQ(ierr); 2762 ierr = VecSetType(coordinates,VECSTANDARD);CHKERRQ(ierr); 2763 ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr); 2764 for (v = 0; v < numPoints[0]; ++v) { 2765 PetscInt off; 2766 2767 ierr = PetscSectionGetOffset(coordSection, v+firstVertex, &off);CHKERRQ(ierr); 2768 for (d = 0; d < dimEmbed; ++d) { 2769 coords[off+d] = vertexCoords[v*dimEmbed+d]; 2770 } 2771 } 2772 ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr); 2773 ierr = DMSetCoordinatesLocal(dm, coordinates);CHKERRQ(ierr); 2774 ierr = VecDestroy(&coordinates);CHKERRQ(ierr); 2775 PetscFunctionReturn(0); 2776 } 2777 2778 /*@C 2779 DMPlexCreateCellVertexFromFile - Create a DMPlex mesh from a simple cell-vertex file. 2780 2781 + comm - The MPI communicator 2782 . filename - Name of the .dat file 2783 - interpolate - Create faces and edges in the mesh 2784 2785 Output Parameter: 2786 . dm - The DM object representing the mesh 2787 2788 Note: The format is the simplest possible: 2789 $ Ne 2790 $ v0 v1 ... vk 2791 $ Nv 2792 $ x y z marker 2793 2794 Level: beginner 2795 2796 .seealso: DMPlexCreateFromFile(), DMPlexCreateMedFromFile(), DMPlexCreateGmsh(), DMPlexCreate() 2797 @*/ 2798 PetscErrorCode DMPlexCreateCellVertexFromFile(MPI_Comm comm, const char filename[], PetscBool interpolate, DM *dm) 2799 { 2800 DMLabel marker; 2801 PetscViewer viewer; 2802 Vec coordinates; 2803 PetscSection coordSection; 2804 PetscScalar *coords; 2805 char line[PETSC_MAX_PATH_LEN]; 2806 PetscInt dim = 3, cdim = 3, coordSize, v, c, d; 2807 PetscMPIInt rank; 2808 int snum, Nv, Nc; 2809 PetscErrorCode ierr; 2810 2811 PetscFunctionBegin; 2812 ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr); 2813 ierr = PetscViewerCreate(comm, &viewer);CHKERRQ(ierr); 2814 ierr = PetscViewerSetType(viewer, PETSCVIEWERASCII);CHKERRQ(ierr); 2815 ierr = PetscViewerFileSetMode(viewer, FILE_MODE_READ);CHKERRQ(ierr); 2816 ierr = PetscViewerFileSetName(viewer, filename);CHKERRQ(ierr); 2817 if (!rank) { 2818 ierr = PetscViewerRead(viewer, line, 2, NULL, PETSC_STRING);CHKERRQ(ierr); 2819 snum = sscanf(line, "%d %d", &Nc, &Nv); 2820 if (snum != 2) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unable to parse cell-vertex file: %s", line); 2821 } else { 2822 Nc = Nv = 0; 2823 } 2824 ierr = DMCreate(comm, dm);CHKERRQ(ierr); 2825 ierr = DMSetType(*dm, DMPLEX);CHKERRQ(ierr); 2826 ierr = DMPlexSetChart(*dm, 0, Nc+Nv);CHKERRQ(ierr); 2827 ierr = DMSetDimension(*dm, dim);CHKERRQ(ierr); 2828 ierr = DMSetCoordinateDim(*dm, cdim);CHKERRQ(ierr); 2829 /* Read topology */ 2830 if (!rank) { 2831 PetscInt cone[8], corners = 8; 2832 int vbuf[8], v; 2833 2834 for (c = 0; c < Nc; ++c) {ierr = DMPlexSetConeSize(*dm, c, corners);CHKERRQ(ierr);} 2835 ierr = DMSetUp(*dm);CHKERRQ(ierr); 2836 for (c = 0; c < Nc; ++c) { 2837 ierr = PetscViewerRead(viewer, line, corners, NULL, PETSC_STRING);CHKERRQ(ierr); 2838 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]); 2839 if (snum != corners) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unable to parse cell-vertex file: %s", line); 2840 for (v = 0; v < corners; ++v) cone[v] = vbuf[v] + Nc; 2841 /* Hexahedra are inverted */ 2842 { 2843 PetscInt tmp = cone[1]; 2844 cone[1] = cone[3]; 2845 cone[3] = tmp; 2846 } 2847 ierr = DMPlexSetCone(*dm, c, cone);CHKERRQ(ierr); 2848 } 2849 } 2850 ierr = DMPlexSymmetrize(*dm);CHKERRQ(ierr); 2851 ierr = DMPlexStratify(*dm);CHKERRQ(ierr); 2852 /* Read coordinates */ 2853 ierr = DMGetCoordinateSection(*dm, &coordSection);CHKERRQ(ierr); 2854 ierr = PetscSectionSetNumFields(coordSection, 1);CHKERRQ(ierr); 2855 ierr = PetscSectionSetFieldComponents(coordSection, 0, cdim);CHKERRQ(ierr); 2856 ierr = PetscSectionSetChart(coordSection, Nc, Nc + Nv);CHKERRQ(ierr); 2857 for (v = Nc; v < Nc+Nv; ++v) { 2858 ierr = PetscSectionSetDof(coordSection, v, cdim);CHKERRQ(ierr); 2859 ierr = PetscSectionSetFieldDof(coordSection, v, 0, cdim);CHKERRQ(ierr); 2860 } 2861 ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr); 2862 ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr); 2863 ierr = VecCreate(PETSC_COMM_SELF, &coordinates);CHKERRQ(ierr); 2864 ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr); 2865 ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr); 2866 ierr = VecSetBlockSize(coordinates, cdim);CHKERRQ(ierr); 2867 ierr = VecSetType(coordinates, VECSTANDARD);CHKERRQ(ierr); 2868 ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr); 2869 if (!rank) { 2870 double x[3]; 2871 int val; 2872 2873 ierr = DMCreateLabel(*dm, "marker");CHKERRQ(ierr); 2874 ierr = DMGetLabel(*dm, "marker", &marker);CHKERRQ(ierr); 2875 for (v = 0; v < Nv; ++v) { 2876 ierr = PetscViewerRead(viewer, line, 4, NULL, PETSC_STRING);CHKERRQ(ierr); 2877 snum = sscanf(line, "%lg %lg %lg %d", &x[0], &x[1], &x[2], &val); 2878 if (snum != 4) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unable to parse cell-vertex file: %s", line); 2879 for (d = 0; d < cdim; ++d) coords[v*cdim+d] = x[d]; 2880 if (val) {ierr = DMLabelSetValue(marker, v+Nc, val);CHKERRQ(ierr);} 2881 } 2882 } 2883 ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr); 2884 ierr = DMSetCoordinatesLocal(*dm, coordinates);CHKERRQ(ierr); 2885 ierr = VecDestroy(&coordinates);CHKERRQ(ierr); 2886 ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr); 2887 if (interpolate) { 2888 DM idm; 2889 DMLabel bdlabel; 2890 2891 ierr = DMPlexInterpolate(*dm, &idm);CHKERRQ(ierr); 2892 ierr = DMDestroy(dm);CHKERRQ(ierr); 2893 *dm = idm; 2894 2895 ierr = DMGetLabel(*dm, "marker", &bdlabel);CHKERRQ(ierr); 2896 ierr = DMPlexMarkBoundaryFaces(*dm, PETSC_DETERMINE, bdlabel);CHKERRQ(ierr); 2897 ierr = DMPlexLabelComplete(*dm, bdlabel);CHKERRQ(ierr); 2898 } 2899 PetscFunctionReturn(0); 2900 } 2901 2902 /*@C 2903 DMPlexCreateFromFile - This takes a filename and produces a DM 2904 2905 Input Parameters: 2906 + comm - The communicator 2907 . filename - A file name 2908 - interpolate - Flag to create intermediate mesh pieces (edges, faces) 2909 2910 Output Parameter: 2911 . dm - The DM 2912 2913 Level: beginner 2914 2915 .seealso: DMPlexCreateFromDAG(), DMPlexCreateFromCellList(), DMPlexCreate() 2916 @*/ 2917 PetscErrorCode DMPlexCreateFromFile(MPI_Comm comm, const char filename[], PetscBool interpolate, DM *dm) 2918 { 2919 const char *extGmsh = ".msh"; 2920 const char *extCGNS = ".cgns"; 2921 const char *extExodus = ".exo"; 2922 const char *extGenesis = ".gen"; 2923 const char *extFluent = ".cas"; 2924 const char *extHDF5 = ".h5"; 2925 const char *extMed = ".med"; 2926 const char *extPLY = ".ply"; 2927 const char *extCV = ".dat"; 2928 size_t len; 2929 PetscBool isGmsh, isCGNS, isExodus, isGenesis, isFluent, isHDF5, isMed, isPLY, isCV; 2930 PetscMPIInt rank; 2931 PetscErrorCode ierr; 2932 2933 PetscFunctionBegin; 2934 PetscValidPointer(filename, 2); 2935 PetscValidPointer(dm, 4); 2936 ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr); 2937 ierr = PetscStrlen(filename, &len);CHKERRQ(ierr); 2938 if (!len) SETERRQ(comm, PETSC_ERR_ARG_WRONG, "Filename must be a valid path"); 2939 ierr = PetscStrncmp(&filename[PetscMax(0,len-4)], extGmsh, 4, &isGmsh);CHKERRQ(ierr); 2940 ierr = PetscStrncmp(&filename[PetscMax(0,len-5)], extCGNS, 5, &isCGNS);CHKERRQ(ierr); 2941 ierr = PetscStrncmp(&filename[PetscMax(0,len-4)], extExodus, 4, &isExodus);CHKERRQ(ierr); 2942 ierr = PetscStrncmp(&filename[PetscMax(0,len-4)], extGenesis, 4, &isGenesis);CHKERRQ(ierr); 2943 ierr = PetscStrncmp(&filename[PetscMax(0,len-4)], extFluent, 4, &isFluent);CHKERRQ(ierr); 2944 ierr = PetscStrncmp(&filename[PetscMax(0,len-3)], extHDF5, 3, &isHDF5);CHKERRQ(ierr); 2945 ierr = PetscStrncmp(&filename[PetscMax(0,len-4)], extMed, 4, &isMed);CHKERRQ(ierr); 2946 ierr = PetscStrncmp(&filename[PetscMax(0,len-4)], extPLY, 4, &isPLY);CHKERRQ(ierr); 2947 ierr = PetscStrncmp(&filename[PetscMax(0,len-4)], extCV, 4, &isCV);CHKERRQ(ierr); 2948 if (isGmsh) { 2949 ierr = DMPlexCreateGmshFromFile(comm, filename, interpolate, dm);CHKERRQ(ierr); 2950 } else if (isCGNS) { 2951 ierr = DMPlexCreateCGNSFromFile(comm, filename, interpolate, dm);CHKERRQ(ierr); 2952 } else if (isExodus || isGenesis) { 2953 ierr = DMPlexCreateExodusFromFile(comm, filename, interpolate, dm);CHKERRQ(ierr); 2954 } else if (isFluent) { 2955 ierr = DMPlexCreateFluentFromFile(comm, filename, interpolate, dm);CHKERRQ(ierr); 2956 } else if (isHDF5) { 2957 PetscViewer viewer; 2958 2959 ierr = PetscViewerCreate(comm, &viewer);CHKERRQ(ierr); 2960 ierr = PetscViewerSetType(viewer, PETSCVIEWERHDF5);CHKERRQ(ierr); 2961 ierr = PetscViewerFileSetMode(viewer, FILE_MODE_READ);CHKERRQ(ierr); 2962 ierr = PetscViewerFileSetName(viewer, filename);CHKERRQ(ierr); 2963 ierr = DMCreate(comm, dm);CHKERRQ(ierr); 2964 ierr = DMSetType(*dm, DMPLEX);CHKERRQ(ierr); 2965 ierr = DMLoad(*dm, viewer);CHKERRQ(ierr); 2966 ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr); 2967 2968 if (interpolate) { 2969 DM idm; 2970 2971 ierr = DMPlexInterpolate(*dm, &idm);CHKERRQ(ierr); 2972 ierr = DMDestroy(dm);CHKERRQ(ierr); 2973 *dm = idm; 2974 } 2975 } else if (isMed) { 2976 ierr = DMPlexCreateMedFromFile(comm, filename, interpolate, dm);CHKERRQ(ierr); 2977 } else if (isPLY) { 2978 ierr = DMPlexCreatePLYFromFile(comm, filename, interpolate, dm);CHKERRQ(ierr); 2979 } else if (isCV) { 2980 ierr = DMPlexCreateCellVertexFromFile(comm, filename, interpolate, dm);CHKERRQ(ierr); 2981 } else SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cannot load file %s: unrecognized extension", filename); 2982 PetscFunctionReturn(0); 2983 } 2984 2985 /*@ 2986 DMPlexCreateReferenceCell - Create a DMPLEX with the appropriate FEM reference cell 2987 2988 Collective on comm 2989 2990 Input Parameters: 2991 + comm - The communicator 2992 . dim - The spatial dimension 2993 - simplex - Flag for simplex, otherwise use a tensor-product cell 2994 2995 Output Parameter: 2996 . refdm - The reference cell 2997 2998 Level: intermediate 2999 3000 .keywords: reference cell 3001 .seealso: 3002 @*/ 3003 PetscErrorCode DMPlexCreateReferenceCell(MPI_Comm comm, PetscInt dim, PetscBool simplex, DM *refdm) 3004 { 3005 DM rdm; 3006 Vec coords; 3007 PetscErrorCode ierr; 3008 3009 PetscFunctionBeginUser; 3010 ierr = DMCreate(comm, &rdm);CHKERRQ(ierr); 3011 ierr = DMSetType(rdm, DMPLEX);CHKERRQ(ierr); 3012 ierr = DMSetDimension(rdm, dim);CHKERRQ(ierr); 3013 switch (dim) { 3014 case 0: 3015 { 3016 PetscInt numPoints[1] = {1}; 3017 PetscInt coneSize[1] = {0}; 3018 PetscInt cones[1] = {0}; 3019 PetscInt coneOrientations[1] = {0}; 3020 PetscScalar vertexCoords[1] = {0.0}; 3021 3022 ierr = DMPlexCreateFromDAG(rdm, 0, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr); 3023 } 3024 break; 3025 case 1: 3026 { 3027 PetscInt numPoints[2] = {2, 1}; 3028 PetscInt coneSize[3] = {2, 0, 0}; 3029 PetscInt cones[2] = {1, 2}; 3030 PetscInt coneOrientations[2] = {0, 0}; 3031 PetscScalar vertexCoords[2] = {-1.0, 1.0}; 3032 3033 ierr = DMPlexCreateFromDAG(rdm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr); 3034 } 3035 break; 3036 case 2: 3037 if (simplex) { 3038 PetscInt numPoints[2] = {3, 1}; 3039 PetscInt coneSize[4] = {3, 0, 0, 0}; 3040 PetscInt cones[3] = {1, 2, 3}; 3041 PetscInt coneOrientations[3] = {0, 0, 0}; 3042 PetscScalar vertexCoords[6] = {-1.0, -1.0, 1.0, -1.0, -1.0, 1.0}; 3043 3044 ierr = DMPlexCreateFromDAG(rdm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr); 3045 } else { 3046 PetscInt numPoints[2] = {4, 1}; 3047 PetscInt coneSize[5] = {4, 0, 0, 0, 0}; 3048 PetscInt cones[4] = {1, 2, 3, 4}; 3049 PetscInt coneOrientations[4] = {0, 0, 0, 0}; 3050 PetscScalar vertexCoords[8] = {-1.0, -1.0, 1.0, -1.0, 1.0, 1.0, -1.0, 1.0}; 3051 3052 ierr = DMPlexCreateFromDAG(rdm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr); 3053 } 3054 break; 3055 case 3: 3056 if (simplex) { 3057 PetscInt numPoints[2] = {4, 1}; 3058 PetscInt coneSize[5] = {4, 0, 0, 0, 0}; 3059 PetscInt cones[4] = {1, 3, 2, 4}; 3060 PetscInt coneOrientations[4] = {0, 0, 0, 0}; 3061 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}; 3062 3063 ierr = DMPlexCreateFromDAG(rdm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr); 3064 } else { 3065 PetscInt numPoints[2] = {8, 1}; 3066 PetscInt coneSize[9] = {8, 0, 0, 0, 0, 0, 0, 0, 0}; 3067 PetscInt cones[8] = {1, 4, 3, 2, 5, 6, 7, 8}; 3068 PetscInt coneOrientations[8] = {0, 0, 0, 0, 0, 0, 0, 0}; 3069 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, 3070 -1.0, -1.0, 1.0, 1.0, -1.0, 1.0, 1.0, 1.0, 1.0, -1.0, 1.0, 1.0}; 3071 3072 ierr = DMPlexCreateFromDAG(rdm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr); 3073 } 3074 break; 3075 default: 3076 SETERRQ1(comm, PETSC_ERR_ARG_WRONG, "Cannot create reference cell for dimension %d", dim); 3077 } 3078 ierr = DMPlexInterpolate(rdm, refdm);CHKERRQ(ierr); 3079 if (rdm->coordinateDM) { 3080 DM ncdm; 3081 PetscSection cs; 3082 PetscInt pEnd = -1; 3083 3084 ierr = DMGetDefaultSection(rdm->coordinateDM, &cs);CHKERRQ(ierr); 3085 if (cs) {ierr = PetscSectionGetChart(cs, NULL, &pEnd);CHKERRQ(ierr);} 3086 if (pEnd >= 0) { 3087 ierr = DMClone(rdm->coordinateDM, &ncdm);CHKERRQ(ierr); 3088 ierr = DMSetDefaultSection(ncdm, cs);CHKERRQ(ierr); 3089 ierr = DMSetCoordinateDM(*refdm, ncdm);CHKERRQ(ierr); 3090 ierr = DMDestroy(&ncdm);CHKERRQ(ierr); 3091 } 3092 } 3093 ierr = DMGetCoordinatesLocal(rdm, &coords);CHKERRQ(ierr); 3094 if (coords) { 3095 ierr = DMSetCoordinatesLocal(*refdm, coords);CHKERRQ(ierr); 3096 } else { 3097 ierr = DMGetCoordinates(rdm, &coords);CHKERRQ(ierr); 3098 if (coords) {ierr = DMSetCoordinates(*refdm, coords);CHKERRQ(ierr);} 3099 } 3100 ierr = DMDestroy(&rdm);CHKERRQ(ierr); 3101 PetscFunctionReturn(0); 3102 } 3103