Actual source code: dmperiodicity.c
1: #include <petsc/private/dmimpl.h>
3: #include <petscdmplex.h>
5: /*@C
6: DMGetPeriodicity - Get the description of mesh periodicity
8: Not collective
10: Input Parameter:
11: . dm - The `DM` object
13: Output Parameters:
14: + maxCell - Over distances greater than this, we can assume a point has crossed over to another sheet, when trying to localize cell coordinates
15: . Lstart - If we assume the mesh is a torus, this is the start of each coordinate, or `NULL` for 0.0
16: - L - If we assume the mesh is a torus, this is the length of each coordinate, otherwise it is < 0.0
18: Level: developer
20: .seealso: `DM`
21: @*/
22: PetscErrorCode DMGetPeriodicity(DM dm, const PetscReal *maxCell[], const PetscReal *Lstart[], const PetscReal *L[])
23: {
24: PetscFunctionBegin;
26: if (maxCell) *maxCell = dm->maxCell;
27: if (Lstart) *Lstart = dm->Lstart;
28: if (L) *L = dm->L;
29: PetscFunctionReturn(PETSC_SUCCESS);
30: }
32: /*@
33: DMSetPeriodicity - Set the description of mesh periodicity
35: Logically Collective
37: Input Parameters:
38: + dm - The `DM` object
39: . maxCell - Over distances greater than this, we can assume a point has crossed over to another sheet, when trying to localize cell coordinates. Pass `NULL` to remove such information.
40: . Lstart - If we assume the mesh is a torus, this is the start of each coordinate, or `NULL` for 0.0
41: - L - If we assume the mesh is a torus, this is the length of each coordinate, otherwise it is < 0.0
43: Level: developer
45: .seealso: `DM`, `DMGetPeriodicity()`
46: @*/
47: PetscErrorCode DMSetPeriodicity(DM dm, const PetscReal maxCell[], const PetscReal Lstart[], const PetscReal L[])
48: {
49: PetscInt dim, d;
51: PetscFunctionBegin;
53: if (maxCell) PetscAssertPointer(maxCell, 2);
54: if (Lstart) PetscAssertPointer(Lstart, 3);
55: if (L) PetscAssertPointer(L, 4);
56: PetscCall(DMGetDimension(dm, &dim));
57: if (maxCell) {
58: if (!dm->maxCell) PetscCall(PetscMalloc1(dim, &dm->maxCell));
59: for (d = 0; d < dim; ++d) dm->maxCell[d] = maxCell[d];
60: } else { /* remove maxCell information to disable automatic computation of localized vertices */
61: PetscCall(PetscFree(dm->maxCell));
62: dm->maxCell = NULL;
63: }
64: if (Lstart) {
65: if (!dm->Lstart) PetscCall(PetscMalloc1(dim, &dm->Lstart));
66: for (d = 0; d < dim; ++d) dm->Lstart[d] = Lstart[d];
67: } else { /* remove L information to disable automatic computation of localized vertices */
68: PetscCall(PetscFree(dm->Lstart));
69: dm->Lstart = NULL;
70: }
71: if (L) {
72: if (!dm->L) PetscCall(PetscMalloc1(dim, &dm->L));
73: for (d = 0; d < dim; ++d) dm->L[d] = L[d];
74: } else { /* remove L information to disable automatic computation of localized vertices */
75: PetscCall(PetscFree(dm->L));
76: dm->L = NULL;
77: }
78: PetscCheck((dm->maxCell && dm->L) || (!dm->maxCell && !dm->L), PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Cannot set only one of maxCell/L");
79: PetscFunctionReturn(PETSC_SUCCESS);
80: }
82: /*@
83: DMLocalizeCoordinate - If a mesh is periodic (a torus with lengths L_i, some of which can be infinite), project the coordinate onto [0, L_i) in each dimension.
85: Input Parameters:
86: + dm - The `DM`
87: . in - The input coordinate point (dim numbers)
88: - endpoint - Include the endpoint L_i
90: Output Parameter:
91: . out - The localized coordinate point (dim numbers)
93: Level: developer
95: .seealso: `DM`, `DMLocalizeCoordinates()`, `DMLocalizeAddCoordinate()`
96: @*/
97: PetscErrorCode DMLocalizeCoordinate(DM dm, const PetscScalar in[], PetscBool endpoint, PetscScalar out[])
98: {
99: PetscInt dim, d;
101: PetscFunctionBegin;
102: PetscCall(DMGetCoordinateDim(dm, &dim));
103: if (!dm->maxCell) {
104: for (d = 0; d < dim; ++d) out[d] = in[d];
105: } else {
106: if (endpoint) {
107: for (d = 0; d < dim; ++d) {
108: if ((PetscAbsReal(PetscRealPart(in[d]) / dm->L[d] - PetscFloorReal(PetscRealPart(in[d]) / dm->L[d])) < PETSC_SMALL) && (PetscRealPart(in[d]) / dm->L[d] > PETSC_SMALL)) {
109: out[d] = in[d] - dm->L[d] * (PetscFloorReal(PetscRealPart(in[d]) / dm->L[d]) - 1);
110: } else {
111: out[d] = in[d] - dm->L[d] * PetscFloorReal(PetscRealPart(in[d]) / dm->L[d]);
112: }
113: }
114: } else {
115: for (d = 0; d < dim; ++d) out[d] = in[d] - dm->L[d] * PetscFloorReal(PetscRealPart(in[d]) / dm->L[d]);
116: }
117: }
118: PetscFunctionReturn(PETSC_SUCCESS);
119: }
121: static PetscErrorCode DMLocalizeCoordinatePerDimension_Internal(DM dm, PetscInt d, const PetscScalar anchor[], const PetscScalar in[], PetscScalar out[])
122: {
123: PetscFunctionBegin;
124: if ((dm->L[d] > 0.0) && (PetscAbsScalar(anchor[d] - in[d]) > dm->maxCell[d])) {
125: out[d] = PetscRealPart(anchor[d]) > PetscRealPart(in[d]) ? dm->L[d] + in[d] : in[d] - dm->L[d];
126: } else {
127: out[d] = in[d];
128: }
129: PetscFunctionReturn(PETSC_SUCCESS);
130: }
132: /*
133: DMLocalizeCoordinate_Internal - If a mesh is periodic, and the input point is far from the anchor, pick the coordinate sheet of the torus which moves it closer.
135: Input Parameters:
136: + dm - The `DM`
137: . dim - The spatial dimension
138: . anchor - The anchor point, the input point can be no more than maxCell away from it
139: - in - The input coordinate point (dim numbers)
141: Output Parameter:
142: . out - The localized coordinate point (dim numbers)
144: Level: developer
146: Note:
147: This is meant to get a set of coordinates close to each other, as in a cell. The anchor is usually the one of the vertices on a containing cell
149: .seealso: `DM`, `DMLocalizeCoordinates()`, `DMLocalizeAddCoordinate()`
150: */
151: PetscErrorCode DMLocalizeCoordinate_Internal(DM dm, PetscInt dim, const PetscScalar anchor[], const PetscScalar in[], PetscScalar out[])
152: {
153: PetscInt d;
155: PetscFunctionBegin;
156: if (!dm->maxCell) {
157: for (d = 0; d < dim; ++d) out[d] = in[d];
158: } else {
159: for (d = 0; d < dim; ++d) PetscCall(DMLocalizeCoordinatePerDimension_Internal(dm, d, anchor, in, out));
160: }
161: PetscFunctionReturn(PETSC_SUCCESS);
162: }
164: PetscErrorCode DMLocalizeCoordinateReal_Internal(DM dm, PetscInt dim, const PetscReal anchor[], const PetscReal in[], PetscReal out[])
165: {
166: PetscInt d;
168: PetscFunctionBegin;
169: if (!dm->maxCell) {
170: for (d = 0; d < dim; ++d) out[d] = in[d];
171: } else {
172: for (d = 0; d < dim; ++d) {
173: if ((dm->L[d] > 0.0) && (PetscAbsReal(anchor[d] - in[d]) > dm->maxCell[d])) {
174: out[d] = anchor[d] > in[d] ? dm->L[d] + in[d] : in[d] - dm->L[d];
175: } else {
176: out[d] = in[d];
177: }
178: }
179: }
180: PetscFunctionReturn(PETSC_SUCCESS);
181: }
183: /*
184: DMLocalizeAddCoordinate_Internal - If a mesh is periodic, and the input point is far from the anchor, pick the coordinate sheet of the torus which moves it closer.
186: Input Parameters:
187: + dm - The `DM`
188: . dim - The spatial dimension
189: . anchor - The anchor point, the input point can be no more than maxCell away from it
190: . in - The input coordinate delta (dim numbers)
191: - out - The input coordinate point (dim numbers)
193: Output Parameter:
194: . out - The localized coordinate in + out
196: Level: developer
198: Note:
199: This is meant to get a set of coordinates close to each other, as in a cell. The anchor is usually one of the vertices on a containing cell
201: .seealso: `DM`, `DMLocalizeCoordinates()`, `DMLocalizeCoordinate()`
202: */
203: PetscErrorCode DMLocalizeAddCoordinate_Internal(DM dm, PetscInt dim, const PetscScalar anchor[], const PetscScalar in[], PetscScalar out[])
204: {
205: PetscFunctionBegin;
206: if (!dm->maxCell) {
207: for (PetscInt d = 0; d < dim; ++d) out[d] += in[d];
208: } else {
209: for (PetscInt d = 0; d < dim; ++d) {
210: const PetscReal maxC = dm->maxCell[d];
212: if ((dm->L[d] > 0.0) && (PetscAbsScalar(anchor[d] - in[d]) > maxC)) {
213: const PetscScalar newCoord = PetscRealPart(anchor[d]) > PetscRealPart(in[d]) ? dm->L[d] + in[d] : in[d] - dm->L[d];
215: if (PetscAbsScalar(newCoord - anchor[d]) > maxC)
216: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "%" PetscInt_FMT "-Coordinate %g more than %g away from anchor %g", d, (double)PetscRealPart(in[d]), (double)maxC, (double)PetscRealPart(anchor[d]));
217: out[d] += newCoord;
218: } else {
219: out[d] += in[d];
220: }
221: }
222: }
223: PetscFunctionReturn(PETSC_SUCCESS);
224: }
226: /*@
227: DMGetCoordinatesLocalizedLocal - Check if the `DM` coordinates have been localized for cells on this process
229: Not Collective
231: Input Parameter:
232: . dm - The `DM`
234: Output Parameter:
235: . areLocalized - `PETSC_TRUE` if localized
237: Level: developer
239: .seealso: `DM`, `DMLocalizeCoordinates()`, `DMGetCoordinatesLocalized()`, `DMSetPeriodicity()`
240: @*/
241: PetscErrorCode DMGetCoordinatesLocalizedLocal(DM dm, PetscBool *areLocalized)
242: {
243: PetscFunctionBegin;
245: PetscAssertPointer(areLocalized, 2);
246: *areLocalized = dm->coordinates[1].dim < 0 ? PETSC_FALSE : PETSC_TRUE;
247: PetscFunctionReturn(PETSC_SUCCESS);
248: }
250: /*@
251: DMGetCoordinatesLocalized - Check if the `DM` coordinates have been localized for cells
253: Collective
255: Input Parameter:
256: . dm - The `DM`
258: Output Parameter:
259: . areLocalized - `PETSC_TRUE` if localized
261: Level: developer
263: .seealso: `DM`, `DMLocalizeCoordinates()`, `DMSetPeriodicity()`, `DMGetCoordinatesLocalizedLocal()`
264: @*/
265: PetscErrorCode DMGetCoordinatesLocalized(DM dm, PetscBool *areLocalized)
266: {
267: PetscBool localized;
269: PetscFunctionBegin;
271: PetscAssertPointer(areLocalized, 2);
272: PetscCall(DMGetCoordinatesLocalizedLocal(dm, &localized));
273: PetscCallMPI(MPIU_Allreduce(&localized, areLocalized, 1, MPI_C_BOOL, MPI_LOR, PetscObjectComm((PetscObject)dm)));
274: PetscFunctionReturn(PETSC_SUCCESS);
275: }
277: /*@
278: DMGetSparseLocalize - Check if the `DM` coordinates should be localized only for cells near the periodic boundary.
280: Not collective
282: Input Parameter:
283: . dm - The `DM`
285: Output Parameter:
286: . sparse - `PETSC_TRUE` if only cells near the periodic boundary are localized
288: Level: intermediate
290: .seealso: `DMSetSparseLocalize()`, `DMLocalizeCoordinates()`, `DMSetPeriodicity()`
291: @*/
292: PetscErrorCode DMGetSparseLocalize(DM dm, PetscBool *sparse)
293: {
294: PetscFunctionBegin;
296: PetscAssertPointer(sparse, 2);
297: *sparse = dm->sparseLocalize;
298: PetscFunctionReturn(PETSC_SUCCESS);
299: }
301: /*@
302: DMSetSparseLocalize - Set the flag indicating that `DM` coordinates should be localized only for cells near the periodic boundary.
304: Collective
306: Input Parameters:
307: + dm - The `DM`
308: - sparse - `PETSC_TRUE` if only cells near the periodic boundary are localized
310: Level: intermediate
312: Note:
313: If previous cell coordinates existed with a different sparse localization then these will be destroyed.
315: .seealso: `DMGetSparseLocalize()`, `DMLocalizeCoordinates()`, `DMSetPeriodicity()`
316: @*/
317: PetscErrorCode DMSetSparseLocalize(DM dm, PetscBool sparse)
318: {
319: PetscBool prevSparse, areLocalized;
321: PetscFunctionBegin;
324: // Blow away previously localized coordinates if they were created with the other sparse localize option
325: PetscCall(DMGetSparseLocalize(dm, &prevSparse));
326: PetscCall(DMGetCoordinatesLocalized(dm, &areLocalized));
327: if (prevSparse != sparse && areLocalized) PetscCall(DMDestroyCoordinates_Internal(&dm->coordinates[1]));
328: dm->sparseLocalize = sparse;
329: PetscFunctionReturn(PETSC_SUCCESS);
330: }
332: /*@
333: DMLocalizeCoordinates - If a mesh is periodic, create local coordinates for cells having periodic faces
335: Collective
337: Input Parameter:
338: . dm - The `DM`
340: Level: developer
342: .seealso: `DM`, `DMSetPeriodicity()`, `DMLocalizeCoordinate()`, `DMLocalizeAddCoordinate()`
343: @*/
344: PetscErrorCode DMLocalizeCoordinates(DM dm)
345: {
346: DM cdm, cdgdm, cplex, plex;
347: PetscSection cs, csDG;
348: Vec coordinates, cVec;
349: PetscScalar *coordsDG, *anchor, *localized;
350: const PetscReal *Lstart, *L, *maxCell;
351: PetscInt Nc, vStart, vEnd, sStart, sEnd, newStart = PETSC_INT_MAX, newEnd = PETSC_INT_MIN, bs, coordSize;
352: PetscBool isLocalized, sparseLocalize, useDG = PETSC_FALSE, useDGGlobal;
353: PetscInt maxHeight = 0, h;
354: PetscInt *pStart = NULL, *pEnd = NULL;
355: MPI_Comm comm;
357: PetscFunctionBegin;
359: PetscCall(DMGetPeriodicity(dm, &maxCell, &Lstart, &L));
360: PetscCall(DMGetSparseLocalize(dm, &sparseLocalize));
361: /* Cannot automatically localize without L and maxCell right now */
362: if (!L) PetscFunctionReturn(PETSC_SUCCESS);
363: PetscCall(PetscObjectGetComm((PetscObject)dm, &comm));
364: PetscCall(DMGetCoordinatesLocalized(dm, &isLocalized));
365: if (isLocalized) PetscFunctionReturn(PETSC_SUCCESS);
367: PetscCall(DMGetCoordinateDM(dm, &cdm));
368: PetscCall(DMConvert(dm, DMPLEX, &plex));
369: PetscCall(DMConvert(cdm, DMPLEX, &cplex));
370: PetscCheck(cplex, comm, PETSC_ERR_ARG_WRONG, "Coordinate localization requires a DMPLEX coordinate DM");
371: PetscCall(DMPlexGetDepthStratum(cplex, 0, &vStart, &vEnd));
372: PetscCall(DMPlexGetMaxProjectionHeight(cplex, &maxHeight));
373: PetscCall(DMGetWorkArray(dm, 2 * (maxHeight + 1), MPIU_INT, &pStart));
374: pEnd = &pStart[maxHeight + 1];
375: newStart = vStart;
376: newEnd = vEnd;
377: for (h = 0; h <= maxHeight; h++) {
378: PetscCall(DMPlexGetHeightStratum(cplex, h, &pStart[h], &pEnd[h]));
379: newStart = PetscMin(newStart, pStart[h]);
380: newEnd = PetscMax(newEnd, pEnd[h]);
381: }
382: PetscCall(DMGetCoordinatesLocal(dm, &coordinates));
383: PetscCheck(coordinates, comm, PETSC_ERR_SUP, "Missing local coordinate vector");
384: PetscCall(DMGetCoordinateSection(dm, &cs));
385: PetscCall(VecGetBlockSize(coordinates, &bs));
386: PetscCall(PetscSectionGetChart(cs, &sStart, &sEnd));
388: PetscCall(PetscSectionCreate(comm, &csDG));
389: PetscCall(PetscSectionSetNumFields(csDG, 1));
390: PetscCall(PetscSectionGetFieldComponents(cs, 0, &Nc));
391: PetscCall(PetscSectionSetFieldComponents(csDG, 0, Nc));
392: PetscCall(PetscSectionSetChart(csDG, newStart, newEnd));
393: PetscCheck(bs == Nc, comm, PETSC_ERR_ARG_INCOMP, "Coordinate block size %" PetscInt_FMT " != %" PetscInt_FMT " number of components", bs, Nc);
394: for (PetscInt d = 0; d < Nc; ++d) {
395: PetscCheck(L[d] < 0. || (maxCell[d] > 0. && maxCell[d] < 2 * L[d]), comm, PETSC_ERR_ARG_INCOMP, "Periodic length %g > max cell size %g in dimension %" PetscInt_FMT, (double)L[d], (double)maxCell[d], d);
396: }
398: PetscCall(DMGetWorkArray(dm, 2 * Nc, MPIU_SCALAR, &anchor));
399: localized = &anchor[Nc];
400: for (h = 0; h <= maxHeight; h++) {
401: PetscInt cStart = pStart[h], cEnd = pEnd[h], c;
403: for (c = cStart; c < cEnd; ++c) {
404: PetscScalar *cellCoords = NULL;
405: DMPolytopeType ct;
406: PetscInt dof, d, p;
408: PetscCall(DMPlexGetCellType(plex, c, &ct));
409: if (ct == DM_POLYTOPE_FV_GHOST) continue;
410: PetscCall(DMPlexVecGetClosure(cplex, cs, coordinates, c, &dof, &cellCoords));
411: PetscCheck(!(dof % Nc), comm, PETSC_ERR_ARG_INCOMP, "Coordinate size on cell %" PetscInt_FMT " closure %" PetscInt_FMT " not divisible by %" PetscInt_FMT " number of components", c, dof, Nc);
412: for (d = 0; d < Nc; ++d) anchor[d] = cellCoords[d];
413: for (p = 0; p < dof / Nc; ++p) {
414: PetscCall(DMLocalizeCoordinate_Internal(dm, Nc, anchor, &cellCoords[p * Nc], localized));
415: for (d = 0; d < Nc; ++d)
416: if (cellCoords[p * Nc + d] != localized[d]) break;
417: if (d < Nc) break;
418: }
419: if (p < dof / Nc) useDG = PETSC_TRUE;
420: if (p < dof / Nc || !sparseLocalize) {
421: PetscCall(PetscSectionSetDof(csDG, c, dof));
422: PetscCall(PetscSectionSetFieldDof(csDG, c, 0, dof));
423: }
424: PetscCall(DMPlexVecRestoreClosure(cplex, cs, coordinates, c, &dof, &cellCoords));
425: }
426: }
427: PetscCallMPI(MPIU_Allreduce(&useDG, &useDGGlobal, 1, MPI_C_BOOL, MPI_LOR, comm));
428: if (!useDGGlobal) goto end;
430: PetscCall(PetscSectionSetUp(csDG));
431: PetscCall(PetscSectionGetStorageSize(csDG, &coordSize));
432: PetscCall(VecCreate(PETSC_COMM_SELF, &cVec));
433: PetscCall(PetscObjectSetName((PetscObject)cVec, "coordinates"));
434: PetscCall(VecSetBlockSize(cVec, bs));
435: PetscCall(VecSetSizes(cVec, coordSize, PETSC_DETERMINE));
436: PetscCall(VecSetType(cVec, VECSTANDARD));
437: PetscCall(VecGetArray(cVec, &coordsDG));
438: for (h = 0; h <= maxHeight; h++) {
439: PetscInt cStart = pStart[h], cEnd = pEnd[h], c;
441: for (c = cStart; c < cEnd; ++c) {
442: PetscScalar *cellCoords = NULL;
443: PetscInt p = 0, q, dof, cdof, d, offDG;
445: PetscCall(PetscSectionGetDof(csDG, c, &cdof));
446: if (!cdof) continue;
447: PetscCall(DMPlexVecGetClosure(cplex, cs, coordinates, c, &dof, &cellCoords));
448: PetscCall(PetscSectionGetOffset(csDG, c, &offDG));
449: // Select an anchor for each dimension
450: // TODO The coordinates are set in closure order, which might not be the tensor order
451: for (d = 0; d < Nc; ++d) {
452: const PetscReal start = Lstart ? Lstart[d] : 0.;
454: for (q = 0; q < dof / Nc; ++q) {
455: anchor[d] = cellCoords[q * Nc + d];
456: // Map anchor into [Lstart, Lstart+L)
457: if (L[d] > 0.0) {
458: if (PetscRealPart(anchor[d]) < start) anchor[d] += L[d];
459: else if (PetscRealPart(anchor[d]) > start + L[d]) anchor[d] -= L[d];
460: PetscCheck(PetscRealPart(anchor[d]) >= start && PetscRealPart(anchor[d]) < start + L[d], PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Anchor %g out of bounds for dimension %" PetscInt_FMT, (double)PetscRealPart(anchor[d]), d);
461: }
462: for (p = 0; p < dof / Nc; ++p) {
463: PetscCall(DMLocalizeCoordinatePerDimension_Internal(dm, d, anchor, &cellCoords[p * Nc], &coordsDG[offDG + p * Nc]));
464: // We need the cell to fit into the torus [lower, lower+L)
465: if (L[d] > 0. && ((PetscRealPart(coordsDG[offDG + p * Nc + d]) < start) || (PetscRealPart(coordsDG[offDG + p * Nc + d]) > start + L[d]))) break;
466: }
467: // Suitable anchor found, continue
468: if (p == dof / Nc) break;
469: }
470: // No suitable anchor found, abort
471: if (q == dof / Nc) break;
472: }
473: PetscCheck(d == Nc, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell %" PetscInt_FMT " does not fit into the torus %s[0, L]", c, Lstart ? "Lstart + " : "");
474: PetscCall(DMPlexVecRestoreClosure(cplex, cs, coordinates, c, &dof, &cellCoords));
475: }
476: }
477: PetscCall(VecRestoreArray(cVec, &coordsDG));
478: PetscUseTypeMethod(dm, createcellcoordinatedm, &cdgdm);
479: PetscCall(DMSetCellCoordinateDM(dm, cdgdm));
480: PetscCall(DMDestroy(&cdgdm));
481: // Convert the discretization
482: {
483: PetscFE fe;
484: PetscClassId id;
486: PetscCall(DMGetField(cdm, 0, NULL, (PetscObject *)&fe));
487: PetscCall(PetscObjectGetClassId((PetscObject)fe, &id));
488: if (id == PETSCFE_CLASSID) {
489: PetscSpace P;
490: PetscInt degree;
492: PetscCall(PetscFEGetBasisSpace(fe, &P));
493: PetscCall(PetscSpaceGetDegree(P, °ree, NULL));
494: PetscCall(DMPlexCreateCoordinateSpace(dm, degree, PETSC_TRUE, PETSC_FALSE));
495: }
496: }
497: PetscCall(DMSetCellCoordinateSection(dm, PETSC_DETERMINE, csDG));
498: PetscCall(DMSetCellCoordinatesLocal(dm, cVec));
499: PetscCall(VecDestroy(&cVec));
501: end:
502: PetscCall(DMRestoreWorkArray(dm, 2 * bs, MPIU_SCALAR, &anchor));
503: PetscCall(DMRestoreWorkArray(dm, 2 * (maxHeight + 1), MPIU_INT, &pStart));
504: PetscCall(PetscSectionDestroy(&csDG));
505: PetscCall(DMDestroy(&plex));
506: PetscCall(DMDestroy(&cplex));
507: PetscFunctionReturn(PETSC_SUCCESS);
508: }