xref: /petsc/src/ts/utils/dmplexlandau/plexland.c (revision 608e5a7a8a35b40c4e75a0aae313cbdeb3df9fee)
1 #include <petsc/private/dmpleximpl.h>   /*I "petscdmplex.h" I*/
2 #include <petsclandau.h>                /*I "petsclandau.h"   I*/
3 #include <petscts.h>
4 #include <petscdmforest.h>
5 
6 /* Landau collision operator */
7 #define PETSC_THREAD_SYNC
8 #include "land_tensors.h"
9 
10 /* vector padding not supported */
11 #define LANDAU_VL  1
12 
13 static PetscErrorCode LandauGPUMapsDestroy(void *ptr)
14 {
15   P4estVertexMaps *maps = (P4estVertexMaps *)ptr;
16   PetscErrorCode  ierr;
17   PetscFunctionBegin;
18   if (maps->deviceType != LANDAU_CPU) {
19 #if defined(PETSC_HAVE_KOKKOS_KERNELS)
20     if (maps->deviceType == LANDAU_KOKKOS) {
21       ierr = LandauKokkosDestroyMatMaps(maps);CHKERRQ(ierr); // imples Kokkos does
22     } // else could be CUDA
23 #elif defined(PETSC_HAVE_CUDA)
24     if (maps->deviceType == LANDAU_CUDA) {
25       ierr = LandauCUDADestroyMatMaps(maps);CHKERRQ(ierr);
26     } else SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_PLIB, "maps->deviceType %D ?????",maps->deviceType);
27 #endif
28   }
29   ierr = PetscFree(maps->c_maps);CHKERRQ(ierr);
30   ierr = PetscFree(maps->gIdx);CHKERRQ(ierr);
31   ierr = PetscFree(maps);CHKERRQ(ierr);
32   PetscFunctionReturn(0);
33 }
34 
35 /* ------------------------------------------------------------------- */
36 /*
37  LandauFormJacobian_Internal - Evaluates Jacobian matrix.
38 
39  Input Parameters:
40  .  globX - input vector
41  .  actx - optional user-defined context
42  .  dim - dimension
43 
44  Output Parameters:
45  .  J0acP - Jacobian matrix filled, not created
46  */
47 static PetscErrorCode LandauFormJacobian_Internal(Vec a_X, Mat JacP, const PetscInt dim, PetscReal shift, void *a_ctx)
48 {
49   LandauCtx         *ctx = (LandauCtx*)a_ctx;
50   PetscErrorCode    ierr;
51   PetscInt          cStart, cEnd, elemMatSize;
52   PetscDS           prob;
53   PetscSection      section,globsection;
54   PetscInt          numCells,totDim,ej,Nq,*Nbf,*Ncf,Nb,Ncx,Nf,d,f,fieldA,qj,N;
55   PetscQuadrature   quad;
56   const PetscReal   *quadWeights;
57   PetscTabulation   *Tf; // used for CPU and print info
58   PetscReal         Eq_m[LANDAU_MAX_SPECIES], m_0=ctx->m_0; /* normalize mass -- not needed! */
59   PetscScalar       *IPf=NULL;
60   const PetscScalar *xdata=NULL;
61   PetscLogDouble    flops;
62   PetscContainer    container;
63   P4estVertexMaps   *maps=NULL;
64 
65   PetscFunctionBegin;
66   PetscValidHeaderSpecific(a_X,VEC_CLASSID,1);
67   PetscValidHeaderSpecific(JacP,MAT_CLASSID,2);
68   PetscValidPointer(ctx,5);
69   /* check for matrix container for GPU assembly */
70   ierr = PetscLogEventBegin(ctx->events[10],0,0,0,0);CHKERRQ(ierr);
71   ierr = PetscObjectQuery((PetscObject) JacP, "assembly_maps", (PetscObject *) &container);CHKERRQ(ierr);
72   if (container /* && ctx->deviceType != LANDAU_CPU */) {
73     if (!ctx->gpu_assembly) SETERRQ(ctx->comm,PETSC_ERR_ARG_WRONG,"GPU matrix container but no GPU assembly");
74     ierr = PetscContainerGetPointer(container, (void **) &maps);CHKERRQ(ierr);
75     if (!maps) SETERRQ(ctx->comm,PETSC_ERR_ARG_WRONG,"empty GPU matrix container");
76   }
77   if (ctx->plex == NULL) {
78     ierr = DMConvert(ctx->dmv, DMPLEX, &ctx->plex);CHKERRQ(ierr);
79   }
80   ierr = DMPlexGetHeightStratum(ctx->plex, 0, &cStart, &cEnd);CHKERRQ(ierr);
81   ierr = DMGetLocalSection(ctx->plex, &section);CHKERRQ(ierr);
82   ierr = DMGetGlobalSection(ctx->plex, &globsection);CHKERRQ(ierr);
83   ierr = DMGetDS(ctx->plex, &prob);CHKERRQ(ierr);
84   ierr = PetscDSGetTabulation(prob, &Tf);CHKERRQ(ierr); // Bf, &Df
85   ierr = PetscDSGetDimensions(prob, &Nbf);CHKERRQ(ierr); Nb = Nbf[0]; /* number of vertices*S */
86   ierr = PetscSectionGetNumFields(section, &Nf);CHKERRQ(ierr);
87   if (Nf!=ctx->num_species) SETERRQ1(ctx->comm, PETSC_ERR_PLIB, "Nf %D != S",Nf);
88   ierr = PetscDSGetComponents(prob, &Ncf);CHKERRQ(ierr);
89   Ncx = Ncf[0];
90   if (Ncx!=1) SETERRQ1(ctx->comm, PETSC_ERR_PLIB, "Nc %D != 1",Ncx);
91   ierr = PetscDSGetTotalDimension(prob, &totDim);CHKERRQ(ierr);
92   numCells = cEnd - cStart;
93   ierr = PetscFEGetQuadrature(ctx->fe[0], &quad);CHKERRQ(ierr);
94   ierr = PetscQuadratureGetData(quad, NULL, NULL, &Nq, NULL, &quadWeights);CHKERRQ(ierr);
95   if (Nb!=Nq) SETERRQ4(ctx->comm, PETSC_ERR_PLIB, "Nb!=Nq %D %D over integration or simplices? Tf[0]->Nb=%D dim=%D",Nb,Nq,Tf[0]->Nb,dim);
96   if (Nq >LANDAU_MAX_NQ) SETERRQ2(ctx->comm,PETSC_ERR_ARG_WRONG,"Order too high. Nq = %D > LANDAU_MAX_NQ (%D)",Nq,LANDAU_MAX_NQ);
97   if (LANDAU_DIM != dim) SETERRQ2(ctx->comm, PETSC_ERR_PLIB, "dim %D != LANDAU_DIM %d",dim,LANDAU_DIM);
98   if (!ctx->SData_d) {
99     ierr = PetscNew(&ctx->SData_d);CHKERRQ(ierr);
100   }
101   elemMatSize = totDim*totDim; // used for CPU and print info
102   ierr = PetscLogEventEnd(ctx->events[10],0,0,0,0);CHKERRQ(ierr);
103   ierr = VecGetSize(a_X,&N);CHKERRQ(ierr);
104   if (!ctx->init) {    /* create static point data, Jacobian called first */
105     PetscReal *invJ,*ww,*xx,*yy,*zz=NULL,*mass_w,*invJ_a;
106     const PetscInt  nip = Nq*numCells;
107 
108     ierr = PetscLogEventBegin(ctx->events[7],0,0,0,0);CHKERRQ(ierr);
109     ctx->init = PETSC_TRUE;
110     ierr = PetscInfo(ctx->plex, "Initialize static data\n");CHKERRQ(ierr);
111     /* collect f data, first time is for Jacobian, but make mass now */
112     if (ctx->verbose > 1 || ctx->verbose > 0) {
113       ierr = PetscPrintf(ctx->comm,"[%D]%s: %D IPs, %D cells, totDim=%D, Nb=%D, Nq=%D, elemMatSize=%D, dim=%D, Tab: Nb=%D Nf=%D Np=%D cdim=%D N=%D shift=%g\n",
114                          0,"FormLandau",Nq*numCells,numCells, totDim, Nb, Nq, elemMatSize, dim, Tf[0]->Nb, Nf, Tf[0]->Np, Tf[0]->cdim, N, shift);CHKERRQ(ierr);
115     }
116     ierr = PetscMalloc5(nip,&mass_w,nip,&ww,nip,&xx,nip,&yy,nip*dim*dim,&invJ_a);CHKERRQ(ierr);
117     if (dim==3) {
118       ierr = PetscMalloc1(nip,&zz);CHKERRQ(ierr);
119     }
120     for (ej = 0 ; ej < numCells; ++ej) {
121       PetscReal    vj[LANDAU_MAX_NQ*LANDAU_DIM],detJj[LANDAU_MAX_NQ], Jdummy[LANDAU_MAX_NQ*LANDAU_DIM*LANDAU_DIM];
122       invJ = invJ_a ? invJ_a + ej * Nq*dim*dim : NULL;
123       ierr = DMPlexComputeCellGeometryFEM(ctx->plex, cStart+ej, quad, vj, Jdummy, invJ, detJj);CHKERRQ(ierr);
124       /* create dynamic point data */
125       for (qj = 0; qj < Nq; ++qj) {
126         PetscInt         gidx = (ej*Nq + qj);
127         mass_w[gidx] = detJj[qj] * quadWeights[qj];
128         if (dim==2) mass_w[gidx] *=  2.*PETSC_PI*vj[qj * dim + 0]; /* cylindrical coordinate, w/o 2pi */
129         xx[gidx] = vj[qj * dim + 0]; /* coordinate */
130         yy[gidx] = vj[qj * dim + 1];
131         if (dim==3) zz[gidx] = vj[qj * dim + 2];
132         ww[gidx] = detJj[qj] * quadWeights[qj];
133         if (dim==2) ww[gidx] *= xx[gidx];  /* cylindrical coordinate, w/o 2pi */
134       } /* q */
135     } /* ej */
136     /* cache static data */
137     if (ctx->deviceType == LANDAU_CUDA || ctx->deviceType == LANDAU_KOKKOS) {
138 #if defined(PETSC_HAVE_CUDA) || defined(PETSC_HAVE_KOKKOS)
139       PetscReal invMass[LANDAU_MAX_SPECIES],nu_alpha[LANDAU_MAX_SPECIES], nu_beta[LANDAU_MAX_SPECIES];
140       for (fieldA=0;fieldA<Nf;fieldA++) {
141         invMass[fieldA] = m_0/ctx->masses[fieldA];
142         nu_alpha[fieldA] = PetscSqr(ctx->charges[fieldA]/m_0)*m_0/ctx->masses[fieldA];
143         nu_beta[fieldA] = PetscSqr(ctx->charges[fieldA]/ctx->epsilon0)*ctx->lnLam / (8*PETSC_PI) * ctx->t_0*ctx->n_0/PetscPowReal(ctx->v_0,3);
144       }
145       if (ctx->deviceType == LANDAU_CUDA) {
146 #if defined(PETSC_HAVE_CUDA)
147         ierr = LandauCUDAStaticDataSet(ctx->plex,Nq,nu_alpha,nu_beta,invMass,invJ_a,mass_w,xx,yy,zz,ww,ctx->SData_d);CHKERRQ(ierr);
148 #else
149         SETERRQ1(ctx->comm,PETSC_ERR_ARG_WRONG,"-landau_device_type %s not built","cuda");
150 #endif
151       } else if (ctx->deviceType == LANDAU_KOKKOS) {
152 #if defined(PETSC_HAVE_KOKKOS)
153         ierr = LandauKokkosStaticDataSet(ctx->plex,Nq,nu_alpha,nu_beta,invMass,invJ_a,mass_w,xx,yy,zz,ww,ctx->SData_d);CHKERRQ(ierr);
154 #else
155         SETERRQ1(ctx->comm,PETSC_ERR_ARG_WRONG,"-landau_device_type %s not built","kokkos");
156 #endif
157       }
158 #endif
159       /* free */
160       ierr = PetscFree5(mass_w,ww,xx,yy,invJ_a);CHKERRQ(ierr);
161       if (dim==3) {
162         ierr = PetscFree(zz);CHKERRQ(ierr);
163       }
164     } else { /* CPU version, just copy in, only use part */
165       ctx->SData_d->w = (void*)ww;
166       ctx->SData_d->x = (void*)xx;
167       ctx->SData_d->y = (void*)yy;
168       ctx->SData_d->z = (void*)zz;
169       ctx->SData_d->invJ = (void*)invJ_a;
170       ctx->SData_d->mass_w = (void*)mass_w;
171     }
172     ierr = PetscLogEventEnd(ctx->events[7],0,0,0,0);CHKERRQ(ierr);
173   }
174   if (shift==0) { /* create dynamic point data */
175     ierr = PetscLogEventBegin(ctx->events[1],0,0,0,0);CHKERRQ(ierr);
176     ierr = MatZeroEntries(JacP);CHKERRQ(ierr);
177     flops = (PetscLogDouble)numCells*(PetscLogDouble)Nq*(PetscLogDouble)(5*dim*dim*Nf*Nf + 165);
178     for (fieldA=0;fieldA<Nf;fieldA++) {
179       Eq_m[fieldA] = ctx->Ez * ctx->t_0 * ctx->charges[fieldA] / (ctx->v_0 * ctx->masses[fieldA]); /* normalize dimensionless */
180       if (dim==2) Eq_m[fieldA] *=  2 * PETSC_PI; /* add the 2pi term that is not in Landau */
181     }
182     if (!ctx->gpu_assembly || !container) {
183       Vec locX;
184       ierr = DMGetLocalVector(ctx->plex, &locX);CHKERRQ(ierr);
185       ierr = VecZeroEntries(locX);CHKERRQ(ierr); /* zero BCs so don't set */
186       ierr = DMGlobalToLocalBegin(ctx->plex, a_X, INSERT_VALUES, locX);CHKERRQ(ierr);
187       ierr = DMGlobalToLocalEnd  (ctx->plex, a_X, INSERT_VALUES, locX);CHKERRQ(ierr);
188       ierr = PetscMalloc1(Nq*numCells*Nf,&IPf);CHKERRQ(ierr);
189       for (ej = 0 ; ej < numCells; ++ej) {
190         PetscScalar *coef = NULL;
191         ierr = DMPlexVecGetClosure(ctx->plex, section, locX, cStart+ej, NULL, &coef);CHKERRQ(ierr);
192         ierr = PetscMemcpy(&IPf[ej*Nb*Nf],coef,Nb*Nf*sizeof(PetscScalar));CHKERRQ(ierr); /* change if LandauIPReal != PetscScalar */
193         ierr = DMPlexVecRestoreClosure(ctx->plex, section, locX, cStart+ej, NULL, &coef);CHKERRQ(ierr);
194       } /* ej */
195       ierr = DMRestoreLocalVector(ctx->plex, &locX);CHKERRQ(ierr);
196     } else {
197       PetscMemType mtype;
198       ierr = VecGetArrayReadAndMemType(a_X,&xdata,&mtype);CHKERRQ(ierr);
199       if (mtype!=PETSC_MEMTYPE_HOST && ctx->deviceType == LANDAU_CPU) {
200         SETERRQ(ctx->comm,PETSC_ERR_ARG_WRONG,"CPU run with device data: use -mat_type aij");
201       }
202     }
203     ierr = PetscLogEventEnd(ctx->events[1],0,0,0,0);CHKERRQ(ierr);
204   } else {
205     flops = (PetscLogDouble)numCells*(PetscLogDouble)Nq*(PetscLogDouble)(5*dim*dim*Nf*Nf);
206   }
207   /* do it */
208   if (ctx->deviceType == LANDAU_CUDA || ctx->deviceType == LANDAU_KOKKOS) {
209     if (ctx->deviceType == LANDAU_CUDA) {
210 #if defined(PETSC_HAVE_CUDA)
211       ierr = LandauCUDAJacobian(ctx->plex,Nq,Eq_m,IPf,N,xdata,ctx->SData_d,ctx->subThreadBlockSize,shift,ctx->events,JacP);CHKERRQ(ierr);
212 #else
213       SETERRQ1(ctx->comm,PETSC_ERR_ARG_WRONG,"-landau_device_type %s not built","cuda");
214 #endif
215     } else if (ctx->deviceType == LANDAU_KOKKOS) {
216 #if defined(PETSC_HAVE_KOKKOS)
217       ierr = LandauKokkosJacobian(ctx->plex,Nq,Eq_m,IPf,N,xdata,ctx->SData_d,ctx->subThreadBlockSize,shift,ctx->events,JacP);CHKERRQ(ierr);
218 #else
219       SETERRQ1(ctx->comm,PETSC_ERR_ARG_WRONG,"-landau_device_type %s not built","kokkos");
220 #endif
221     }
222   } else { /* CPU version */
223     PetscInt        ei, qi;
224     PetscScalar     *elemMat,coef_buff[LANDAU_MAX_SPECIES*LANDAU_MAX_NQ];
225     PetscReal       *ff, *dudx, *dudy, *dudz, *invJ, *invJ_a = (PetscReal*)ctx->SData_d->invJ, *xx = (PetscReal*)ctx->SData_d->x, *yy = (PetscReal*)ctx->SData_d->y, *zz = (PetscReal*)ctx->SData_d->z, *ww = (PetscReal*)ctx->SData_d->w, *mass_w = (PetscReal*)ctx->SData_d->mass_w;
226     const PetscInt  nip = Nq*numCells;
227     const PetscReal *const BB = Tf[0]->T[0], * const DD = Tf[0]->T[1];
228     PetscReal       Eq_m[LANDAU_MAX_SPECIES], invMass[LANDAU_MAX_SPECIES], nu_alpha[LANDAU_MAX_SPECIES], nu_beta[LANDAU_MAX_SPECIES];
229     if (shift!=0.0) { // mass
230       ierr = PetscMalloc1(elemMatSize, &elemMat);CHKERRQ(ierr);
231     } else {      /* compute f and df and init data for Jacobian */
232       ierr = PetscLogEventBegin(ctx->events[8],0,0,0,0);CHKERRQ(ierr);
233       for (fieldA=0;fieldA<Nf;fieldA++) {
234         invMass[fieldA] = m_0/ctx->masses[fieldA];
235         Eq_m[fieldA] = ctx->Ez * ctx->t_0 * ctx->charges[fieldA] / (ctx->v_0 * ctx->masses[fieldA]); /* normalize dimensionless */
236         if (dim==2) Eq_m[fieldA] *=  2 * PETSC_PI; /* add the 2pi term that is not in Landau */
237         nu_alpha[fieldA] = PetscSqr(ctx->charges[fieldA]/m_0)*m_0/ctx->masses[fieldA];
238         nu_beta[fieldA] = PetscSqr(ctx->charges[fieldA]/ctx->epsilon0)*ctx->lnLam / (8*PETSC_PI) * ctx->t_0*ctx->n_0/PetscPowReal(ctx->v_0,3);
239       }
240       ierr = PetscMalloc5(elemMatSize, &elemMat, nip*Nf, &ff, nip*Nf, &dudx, nip*Nf, &dudy, dim==3 ? nip*Nf : 0, &dudz);CHKERRQ(ierr);
241       for (ei = cStart, invJ = invJ_a; ei < cEnd; ++ei, invJ += Nq*dim*dim) {
242         PetscScalar *coef;
243         PetscInt     b,f,idx,q;
244         PetscReal    u_x[LANDAU_MAX_SPECIES][LANDAU_DIM];
245         if (IPf) {
246           coef = &IPf[ei*Nb*Nf]; // this is const
247         } else {
248           if (!maps) SETERRQ(ctx->comm,PETSC_ERR_ARG_WRONG,"!maps");
249           coef = coef_buff;
250           for (f = 0; f < Nf; ++f) {
251             LandauIdx *const Idxs = &maps->gIdx[ei-cStart][f][0];
252             for (b = 0; b < Nb; ++b) {
253               idx = Idxs[b];
254               if (idx >= 0) {
255                 coef[f*Nb+b] = xdata[idx];
256               } else {
257                 idx = -idx - 1;
258                 coef[f*Nb+b] = 0;
259                 for (q = 0; q < maps->num_face; q++) {
260                   PetscInt    id = maps->c_maps[idx][q].gid;
261                   PetscScalar scale = maps->c_maps[idx][q].scale;
262                   coef[f*Nb+b] += scale*xdata[id];
263                 }
264               }
265             }
266           }
267         }
268         /* get f and df */
269         for (qi = 0; qi < Nq; ++qi) {
270           const PetscReal  *Bq = &BB[qi*Nb];
271           const PetscReal  *Dq = &DD[qi*Nb*dim];
272           const PetscInt   gidx = ei*Nq + qi;
273           /* get f & df */
274           for (f = 0; f < Nf; ++f) {
275             PetscInt   b, e;
276             PetscReal  refSpaceDer[LANDAU_DIM];
277             ff[gidx + f*nip] = 0.0;
278             for (d = 0; d < LANDAU_DIM; ++d) refSpaceDer[d] = 0.0;
279             for (b = 0; b < Nb; ++b) {
280               const PetscInt    cidx = b;
281               ff[gidx + f*nip] += Bq[cidx]*PetscRealPart(coef[f*Nb+cidx]);
282               for (d = 0; d < dim; ++d) refSpaceDer[d] += Dq[cidx*dim+d]*PetscRealPart(coef[f*Nb+cidx]);
283             }
284             for (d = 0; d < dim; ++d) {
285               for (e = 0, u_x[f][d] = 0.0; e < dim; ++e) {
286                 u_x[f][d] += invJ[qi * dim * dim + e*dim+d]*refSpaceDer[e];
287               }
288             }
289           }
290           for (f=0;f<Nf;f++) {
291             dudx[gidx + f*nip] = u_x[f][0];
292             dudy[gidx + f*nip] = u_x[f][1];
293 #if LANDAU_DIM==3
294             dudz[gidx + f*nip] = u_x[f][2];
295 #endif
296           }
297         }
298       }
299       ierr = PetscLogEventEnd(ctx->events[8],0,0,0,0);CHKERRQ(ierr);
300     }
301     for (ej = cStart, invJ = invJ_a; ej < cEnd; ++ej, invJ += Nq*dim*dim) {
302       ierr = PetscMemzero(elemMat, totDim *totDim * sizeof(PetscScalar));CHKERRQ(ierr);
303       ierr = PetscLogEventBegin(ctx->events[4],0,0,0,0);CHKERRQ(ierr);
304       ierr = PetscLogFlops((PetscLogDouble)Nq*flops);CHKERRQ(ierr);
305       //printf("\t:%d.%d) Invj[0] = %e (%d)\n",ej,qj,invJ[0],(int)(invJ-invJ_a));
306       for (qj = 0; qj < Nq; ++qj) {
307         const PetscReal * const BB = Tf[0]->T[0], * const DD = Tf[0]->T[1];
308         PetscReal               g0[LANDAU_MAX_SPECIES], g2[LANDAU_MAX_SPECIES][LANDAU_DIM], g3[LANDAU_MAX_SPECIES][LANDAU_DIM][LANDAU_DIM];
309         PetscInt                d,d2,dp,d3,ipidx,fieldA;
310         const PetscInt          jpidx = Nq*(ej-cStart) + qj;
311         if (shift==0.0) {
312           const PetscReal * const invJj = &invJ[qj*dim*dim];
313           PetscReal               gg2[LANDAU_MAX_SPECIES][LANDAU_DIM],gg3[LANDAU_MAX_SPECIES][LANDAU_DIM][LANDAU_DIM], gg2_temp[LANDAU_DIM], gg3_temp[LANDAU_DIM][LANDAU_DIM];
314           const PetscReal         vj[3] = {xx[jpidx], yy[jpidx], zz ? zz[jpidx] : 0}, wj = ww[jpidx];
315 
316           // create g2 & g3
317           for (d=0;d<dim;d++) { // clear accumulation data D & K
318             gg2_temp[d] = 0;
319             for (d2=0;d2<dim;d2++) gg3_temp[d][d2] = 0;
320           }
321           for (ipidx = 0; ipidx < nip; ipidx++) {
322             const PetscReal wi = ww[ipidx], x = xx[ipidx], y = yy[ipidx];
323             PetscReal       temp1[3] = {0, 0, 0}, temp2 = 0;
324 #if LANDAU_DIM==2
325             PetscReal       Ud[2][2], Uk[2][2];
326             LandauTensor2D(vj, x, y, Ud, Uk, (ipidx==jpidx) ? 0. : 1.);
327 #else
328             PetscReal U[3][3], z = zz[ipidx];
329             LandauTensor3D(vj, x, y, z, U, (ipidx==jpidx) ? 0. : 1.);
330 #endif
331             for (fieldA = 0; fieldA < Nf; ++fieldA) {
332               temp1[0] += dudx[ipidx + fieldA*nip]*nu_beta[fieldA]*invMass[fieldA];
333               temp1[1] += dudy[ipidx + fieldA*nip]*nu_beta[fieldA]*invMass[fieldA];
334 #if LANDAU_DIM==3
335               temp1[2] += dudz[ipidx + fieldA*nip]*nu_beta[fieldA]*invMass[fieldA];
336 #endif
337               temp2    += ff[ipidx + fieldA*nip]*nu_beta[fieldA];
338             }
339             temp1[0] *= wi;
340             temp1[1] *= wi;
341 #if LANDAU_DIM==3
342             temp1[2] *= wi;
343 #endif
344             temp2    *= wi;
345 #if LANDAU_DIM==2
346             for (d2 = 0; d2 < 2; d2++) {
347               for (d3 = 0; d3 < 2; ++d3) {
348                 /* K = U * grad(f): g2=e: i,A */
349                 gg2_temp[d2] += Uk[d2][d3]*temp1[d3];
350                 /* D = -U * (I \kron (fx)): g3=f: i,j,A */
351                 gg3_temp[d2][d3] += Ud[d2][d3]*temp2;
352               }
353             }
354 #else
355             for (d2 = 0; d2 < 3; ++d2) {
356               for (d3 = 0; d3 < 3; ++d3) {
357                 /* K = U * grad(f): g2 = e: i,A */
358                 gg2_temp[d2] += U[d2][d3]*temp1[d3];
359                 /* D = -U * (I \kron (fx)): g3 = f: i,j,A */
360                 gg3_temp[d2][d3] += U[d2][d3]*temp2;
361               }
362             }
363 #endif
364           } /* IPs */
365           // add alpha and put in gg2/3
366           for (fieldA = 0; fieldA < Nf; ++fieldA) {
367             for (d2 = 0; d2 < dim; d2++) {
368               gg2[fieldA][d2] = gg2_temp[d2]*nu_alpha[fieldA];
369               for (d3 = 0; d3 < dim; d3++) {
370                 gg3[fieldA][d2][d3] = -gg3_temp[d2][d3]*nu_alpha[fieldA]*invMass[fieldA];
371               }
372             }
373           }
374           /* add electric field term once per IP */
375           for (fieldA = 0; fieldA < Nf; ++fieldA) {
376             gg2[fieldA][dim-1] += Eq_m[fieldA];
377           }
378           /* Jacobian transform - g2, g3 */
379           for (fieldA = 0; fieldA < Nf; ++fieldA) {
380             for (d = 0; d < dim; ++d) {
381               g2[fieldA][d] = 0.0;
382               for (d2 = 0; d2 < dim; ++d2) {
383                 g2[fieldA][d] += invJj[d*dim+d2]*gg2[fieldA][d2];
384                 g3[fieldA][d][d2] = 0.0;
385                 for (d3 = 0; d3 < dim; ++d3) {
386                   for (dp = 0; dp < dim; ++dp) {
387                     g3[fieldA][d][d2] += invJj[d*dim + d3]*gg3[fieldA][d3][dp]*invJj[d2*dim + dp];
388                   }
389                 }
390                 g3[fieldA][d][d2] *= wj;
391               }
392               g2[fieldA][d] *= wj;
393             }
394           }
395         } else { // mass
396           /* Jacobian transform - g0 */
397           for (fieldA = 0; fieldA < Nf; ++fieldA) {
398             g0[fieldA] = mass_w[jpidx] * shift; // move this to below and remove g0
399           }
400         }
401         /* FE matrix construction */
402         {
403           PetscInt  fieldA,d,f,d2,g;
404           const PetscReal *BJq = &BB[qj*Nb], *DIq = &DD[qj*Nb*dim];
405           /* assemble - on the diagonal (I,I) */
406           for (fieldA = 0; fieldA < Nf ; fieldA++) {
407             for (f = 0; f < Nb ; f++) {
408               const PetscInt i = fieldA*Nb + f; /* Element matrix row */
409               for (g = 0; g < Nb; ++g) {
410                 const PetscInt j    = fieldA*Nb + g; /* Element matrix column */
411                 const PetscInt fOff = i*totDim + j;
412                 if (shift==0.0) {
413                   for (d = 0; d < dim; ++d) {
414                     elemMat[fOff] += DIq[f*dim+d]*g2[fieldA][d]*BJq[g];
415                     //printf("\t:%d.%d.%d.%d.%d.%d) elemMat=%e += %e %e %e\n",ej,qj,fieldA,f,g,d,elemMat[fOff],DIq[f*dim+d],g2[fieldA][d],BJq[g]);
416                     for (d2 = 0; d2 < dim; ++d2) {
417                       elemMat[fOff] += DIq[f*dim + d]*g3[fieldA][d][d2]*DIq[g*dim + d2];
418                     }
419                   }
420                 } else { // mass
421                   elemMat[fOff] += BJq[f]*g0[fieldA]*BJq[g];
422                 }
423               }
424             }
425           }
426         }
427       } /* qj loop */
428       ierr = PetscLogEventEnd(ctx->events[4],0,0,0,0);CHKERRQ(ierr);
429       /* assemble matrix */
430       ierr = PetscLogEventBegin(ctx->events[6],0,0,0,0);CHKERRQ(ierr);
431       if (!maps) {
432         ierr = DMPlexMatSetClosure(ctx->plex, section, globsection, JacP, ej, elemMat, ADD_VALUES);CHKERRQ(ierr);
433       } else {  // GPU like assembly for debugging
434         PetscInt      fieldA,idx,q,f,g,d,nr,nc,rows0[LANDAU_MAX_Q_FACE],cols0[LANDAU_MAX_Q_FACE]={0},rows[LANDAU_MAX_Q_FACE],cols[LANDAU_MAX_Q_FACE];
435         PetscScalar   vals[LANDAU_MAX_Q_FACE*LANDAU_MAX_Q_FACE],row_scale[LANDAU_MAX_Q_FACE],col_scale[LANDAU_MAX_Q_FACE]={0};
436         /* assemble - from the diagonal (I,I) in this format for DMPlexMatSetClosure */
437         for (fieldA = 0; fieldA < Nf ; fieldA++) {
438           LandauIdx *const Idxs = &maps->gIdx[ej-cStart][fieldA][0];
439           for (f = 0; f < Nb ; f++) {
440             idx = Idxs[f];
441             if (idx >= 0) {
442               nr = 1;
443               rows0[0] = idx;
444               row_scale[0] = 1.;
445             } else {
446               idx = -idx - 1;
447               nr = maps->num_face;
448               for (q = 0; q < maps->num_face; q++) {
449                 rows0[q]     = maps->c_maps[idx][q].gid;
450                 row_scale[q] = maps->c_maps[idx][q].scale;
451               }
452             }
453             for (g = 0; g < Nb; ++g) {
454               idx = Idxs[g];
455               if (idx >= 0) {
456                 nc = 1;
457                 cols0[0] = idx;
458                 col_scale[0] = 1.;
459               } else {
460                 idx = -idx - 1;
461                 nc = maps->num_face;
462                 for (q = 0; q < maps->num_face; q++) {
463                   cols0[q]     = maps->c_maps[idx][q].gid;
464                   col_scale[q] = maps->c_maps[idx][q].scale;
465                 }
466               }
467               const PetscInt    i = fieldA*Nb + f; /* Element matrix row */
468               const PetscInt    j = fieldA*Nb + g; /* Element matrix column */
469               const PetscScalar Aij = elemMat[i*totDim + j];
470               for (q = 0; q < nr; q++) rows[q] = rows0[q];
471               for (q = 0; q < nc; q++) cols[q] = cols0[q];
472               for (q = 0; q < nr; q++) {
473                 for (d = 0; d < nc; d++) {
474                   vals[q*nc + d] = row_scale[q]*col_scale[d]*Aij;
475                 }
476               }
477               ierr = MatSetValues(JacP,nr,rows,nc,cols,vals,ADD_VALUES);CHKERRQ(ierr);
478             }
479           }
480         }
481       }
482       if (ej==-1) {
483         PetscErrorCode    ierr2;
484         ierr2 = PetscPrintf(ctx->comm,"CPU Element matrix\n");CHKERRQ(ierr2);
485         for (d = 0; d < totDim; ++d) {
486           for (f = 0; f < totDim; ++f) {ierr2 = PetscPrintf(ctx->comm," %12.5e",  PetscRealPart(elemMat[d*totDim + f]));CHKERRQ(ierr2);}
487           ierr2 = PetscPrintf(ctx->comm,"\n");CHKERRQ(ierr2);
488         }
489         exit(12);
490       }
491       ierr = PetscLogEventEnd(ctx->events[6],0,0,0,0);CHKERRQ(ierr);
492     } /* ej cells loop, not cuda */
493     if (shift!=0.0) { // mass
494       ierr = PetscFree(elemMat);CHKERRQ(ierr);
495     } else {
496       ierr = PetscFree5(elemMat, ff, dudx, dudy, dudz);CHKERRQ(ierr);
497     }
498   } /* CPU version */
499 
500   /* assemble matrix or vector */
501   ierr = MatAssemblyBegin(JacP, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
502   ierr = MatAssemblyEnd(JacP, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
503 #define MAP_BF_SIZE (64*LANDAU_DIM*LANDAU_DIM*LANDAU_MAX_Q_FACE*LANDAU_MAX_SPECIES)
504   if (ctx->gpu_assembly && !container) {
505     PetscScalar             elemMatrix[LANDAU_MAX_NQ*LANDAU_MAX_NQ*LANDAU_MAX_SPECIES*LANDAU_MAX_SPECIES], *elMat;
506     pointInterpolationP4est pointMaps[MAP_BF_SIZE][LANDAU_MAX_Q_FACE];
507     PetscInt                q,eidx,fieldA;
508     MatType                 type;
509     ierr = PetscInfo1(ctx->plex, "Make GPU maps %D\n",1);CHKERRQ(ierr);
510     ierr = MatGetType(JacP,&type);CHKERRQ(ierr);
511     ierr = PetscLogEventBegin(ctx->events[2],0,0,0,0);CHKERRQ(ierr);
512     ierr = PetscMalloc(sizeof(P4estVertexMaps), &maps);CHKERRQ(ierr);
513     ierr = PetscContainerCreate(PETSC_COMM_SELF, &container);CHKERRQ(ierr);
514     ierr = PetscContainerSetPointer(container, (void *)maps);CHKERRQ(ierr);
515     ierr = PetscContainerSetUserDestroy(container, LandauGPUMapsDestroy);CHKERRQ(ierr);
516     ierr = PetscObjectCompose((PetscObject) JacP, "assembly_maps", (PetscObject) container);CHKERRQ(ierr);
517     ierr = PetscContainerDestroy(&container);CHKERRQ(ierr);
518     // make maps
519     maps->data = NULL;
520     maps->num_elements = numCells;
521     maps->num_face = (PetscInt)(pow(Nq,1./((double)dim))+.001); // Q
522     maps->num_face = (PetscInt)(pow(maps->num_face,(double)(dim-1))+.001); // Q^2
523     maps->num_reduced = 0;
524     maps->deviceType = ctx->deviceType;
525 
526     // count reduced and get
527     ierr = PetscMalloc(maps->num_elements * sizeof *maps->gIdx, &maps->gIdx);CHKERRQ(ierr);
528     for (fieldA=0;fieldA<Nf;fieldA++) {
529       for (ej = cStart, eidx = 0 ; ej < cEnd; ++ej, ++eidx) {
530         for (q = 0; q < Nb; ++q) {
531           PetscInt    numindices,*indices;
532           PetscScalar *valuesOrig = elMat = elemMatrix;
533           ierr = PetscMemzero(elMat, totDim*totDim*sizeof(PetscScalar));CHKERRQ(ierr);
534           elMat[ (fieldA*Nb + q)*totDim + fieldA*Nb + q] = 1;
535           ierr = DMPlexGetClosureIndices(ctx->plex, section, globsection, ej, PETSC_TRUE, &numindices, &indices, NULL, (PetscScalar **) &elMat);CHKERRQ(ierr);
536           for (f = 0 ; f < numindices ; ++f) { // look for a non-zero on the diagonal
537             if (PetscAbs(PetscRealPart(elMat[f*numindices + f])) > PETSC_MACHINE_EPSILON) {
538               // found it
539               if (PetscAbs(PetscRealPart(elMat[f*numindices + f] - 1.)) < PETSC_MACHINE_EPSILON) {
540                 maps->gIdx[eidx][fieldA][q] = (LandauIdx)indices[f]; // normal vertex 1.0
541               } else { //found a constraint
542                 int       jj = 0;
543                 PetscReal sum = 0;
544                 const PetscInt ff = f;
545                 maps->gIdx[eidx][fieldA][q] = -maps->num_reduced - 1; // gid = -(idx+1): idx = -gid - 1
546                 do {  // constraints are continous in Plex - exploit that here
547                   int ii;
548                   for (ii = 0, pointMaps[maps->num_reduced][jj].scale = 0; ii < maps->num_face; ii++) { // DMPlex puts them all together
549                     if (ff + ii < numindices) {
550                       pointMaps[maps->num_reduced][jj].scale += PetscRealPart(elMat[f*numindices + ff + ii]);
551                     }
552                   }
553                   sum += pointMaps[maps->num_reduced][jj].scale;
554                   if (pointMaps[maps->num_reduced][jj].scale == 0) pointMaps[maps->num_reduced][jj].gid = -1; // 3D has Q and Q^2 interps -- all contiguous???
555                   else                                             pointMaps[maps->num_reduced][jj].gid = indices[f];
556                 } while (++jj < maps->num_face && ++f < numindices); // jj is incremented if we hit the end
557                 while (jj++ < maps->num_face) {
558                   pointMaps[maps->num_reduced][jj].scale = 0;
559                   pointMaps[maps->num_reduced][jj].gid = -1;
560                 }
561                 if (PetscAbs(sum-1.0) > 10*PETSC_MACHINE_EPSILON) { // debug
562                   int       d,f;
563                   PetscReal tmp = 0;
564                   PetscPrintf(PETSC_COMM_SELF,"\t\t%D.%D.%D) ERROR total I = %22.16e (LANDAU_MAX_Q_FACE=%d, #face=%D)\n",eidx,q,fieldA,sum,LANDAU_MAX_Q_FACE,maps->num_face);
565                   for (d = 0, tmp = 0; d < numindices; ++d) {
566                     if (tmp!=0 && PetscAbs(tmp-1.0) > 10*PETSC_MACHINE_EPSILON) ierr = PetscPrintf(PETSC_COMM_WORLD,"%3D) %3D: ",d,indices[d]);CHKERRQ(ierr);
567                     for (f = 0; f < numindices; ++f) {
568                       tmp += PetscRealPart(elMat[d*numindices + f]);
569                     }
570                     if (tmp!=0) ierr = PetscPrintf(ctx->comm," | %22.16e\n",tmp);CHKERRQ(ierr);
571                   }
572                 }
573                 maps->num_reduced++;
574                 if (maps->num_reduced>=MAP_BF_SIZE) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "maps->num_reduced %d > %d",maps->num_reduced,MAP_BF_SIZE);
575               }
576               break;
577             }
578           }
579           // cleanup
580           ierr = DMPlexRestoreClosureIndices(ctx->plex, section, globsection, ej, PETSC_TRUE, &numindices, &indices, NULL, (PetscScalar **) &elMat);CHKERRQ(ierr);
581           if (elMat != valuesOrig) {ierr = DMRestoreWorkArray(ctx->plex, numindices*numindices, MPIU_SCALAR, &elMat);}
582         }
583       }
584     }
585     // allocate and copy point datamaps->gIdx[eidx][field][q] -- for CPU version of this code, for debugging
586     ierr = PetscMalloc(maps->num_reduced * sizeof *maps->c_maps, &maps->c_maps);CHKERRQ(ierr);
587     for (ej = 0; ej < maps->num_reduced; ++ej) {
588       for (q = 0; q < maps->num_face; ++q) {
589         maps->c_maps[ej][q].scale = pointMaps[ej][q].scale;
590         maps->c_maps[ej][q].gid = pointMaps[ej][q].gid;
591       }
592     }
593 #if defined(PETSC_HAVE_KOKKOS_KERNELS)
594     if (ctx->deviceType == LANDAU_KOKKOS) {
595       ierr = LandauKokkosCreateMatMaps(maps, pointMaps,Nf,Nq);CHKERRQ(ierr); // imples Kokkos does
596     } // else could be CUDA
597 #endif
598 #if defined(PETSC_HAVE_CUDA)
599     if (ctx->deviceType == LANDAU_CUDA) {
600       ierr = LandauCUDACreateMatMaps(maps, pointMaps,Nf,Nq);CHKERRQ(ierr);
601     }
602 #endif
603 
604     ierr = PetscLogEventEnd(ctx->events[2],0,0,0,0);CHKERRQ(ierr);
605   }
606   /* clean up */
607   if (IPf) {
608     ierr = PetscFree(IPf);CHKERRQ(ierr);
609   }
610   if (xdata) {
611     ierr = VecRestoreArrayReadAndMemType(a_X,&xdata);CHKERRQ(ierr);
612   }
613 
614   PetscFunctionReturn(0);
615 }
616 
617 #if defined(LANDAU_ADD_BCS)
618 static void zero_bc(PetscInt dim, PetscInt Nf, PetscInt NfAux,
619                     const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
620                     const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
621                     PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar uexact[])
622 {
623   uexact[0] = 0;
624 }
625 #endif
626 
627 #define MATVEC2(__a,__x,__p) {int i,j; for (i=0.; i<2; i++) {__p[i] = 0; for (j=0.; j<2; j++) __p[i] += __a[i][j]*__x[j]; }}
628 static void CircleInflate(PetscReal r1, PetscReal r2, PetscReal r0, PetscInt num_sections, PetscReal x, PetscReal y,
629                           PetscReal *outX, PetscReal *outY)
630 {
631   PetscReal rr = PetscSqrtReal(x*x + y*y), outfact, efact;
632   if (rr < r1 + PETSC_SQRT_MACHINE_EPSILON) {
633     *outX = x; *outY = y;
634   } else {
635     const PetscReal xy[2] = {x,y}, sinphi=y/rr, cosphi=x/rr;
636     PetscReal       cth,sth,xyprime[2],Rth[2][2],rotcos,newrr;
637     if (num_sections==2) {
638       rotcos = 0.70710678118654;
639       outfact = 1.5; efact = 2.5;
640       /* rotate normalized vector into [-pi/4,pi/4) */
641       if (sinphi >= 0.) {         /* top cell, -pi/2 */
642         cth = 0.707106781186548; sth = -0.707106781186548;
643       } else {                    /* bottom cell -pi/8 */
644         cth = 0.707106781186548; sth = .707106781186548;
645       }
646     } else if (num_sections==3) {
647       rotcos = 0.86602540378443;
648       outfact = 1.5; efact = 2.5;
649       /* rotate normalized vector into [-pi/6,pi/6) */
650       if (sinphi >= 0.5) {         /* top cell, -pi/3 */
651         cth = 0.5; sth = -0.866025403784439;
652       } else if (sinphi >= -.5) {  /* mid cell 0 */
653         cth = 1.; sth = .0;
654       } else { /* bottom cell +pi/3 */
655         cth = 0.5; sth = 0.866025403784439;
656       }
657     } else if (num_sections==4) {
658       rotcos = 0.9238795325112;
659       outfact = 1.5; efact = 3;
660       /* rotate normalized vector into [-pi/8,pi/8) */
661       if (sinphi >= 0.707106781186548) {         /* top cell, -3pi/8 */
662         cth = 0.38268343236509; sth = -0.923879532511287;
663       } else if (sinphi >= 0.) {                 /* mid top cell -pi/8 */
664         cth = 0.923879532511287; sth = -.38268343236509;
665       } else if (sinphi >= -0.707106781186548) { /* mid bottom cell + pi/8 */
666         cth = 0.923879532511287; sth = 0.38268343236509;
667       } else {                                   /* bottom cell + 3pi/8 */
668         cth = 0.38268343236509; sth = .923879532511287;
669       }
670     } else {
671       cth = 0.; sth = 0.; rotcos = 0; efact = 0;
672     }
673     Rth[0][0] = cth; Rth[0][1] =-sth;
674     Rth[1][0] = sth; Rth[1][1] = cth;
675     MATVEC2(Rth,xy,xyprime);
676     if (num_sections==2) {
677       newrr = xyprime[0]/rotcos;
678     } else {
679       PetscReal newcosphi=xyprime[0]/rr, rin = r1, rout = rr - rin;
680       PetscReal routmax = r0*rotcos/newcosphi - rin, nroutmax = r0 - rin, routfrac = rout/routmax;
681       newrr = rin + routfrac*nroutmax;
682     }
683     *outX = cosphi*newrr; *outY = sinphi*newrr;
684     /* grade */
685     PetscReal fact,tt,rs,re, rr = PetscSqrtReal(PetscSqr(*outX) + PetscSqr(*outY));
686     if (rr > r2) { rs = r2; re = r0; fact = outfact;} /* outer zone */
687     else {         rs = r1; re = r2; fact = efact;} /* electron zone */
688     tt = (rs + PetscPowReal((rr - rs)/(re - rs),fact) * (re-rs)) / rr;
689     *outX *= tt;
690     *outY *= tt;
691   }
692 }
693 
694 static PetscErrorCode GeometryDMLandau(DM base, PetscInt point, PetscInt dim, const PetscReal abc[], PetscReal xyz[], void *a_ctx)
695 {
696   LandauCtx   *ctx = (LandauCtx*)a_ctx;
697   PetscReal   r = abc[0], z = abc[1];
698   if (ctx->inflate) {
699     PetscReal absR, absZ;
700     absR = PetscAbs(r);
701     absZ = PetscAbs(z);
702     CircleInflate(ctx->i_radius,ctx->e_radius,ctx->radius,ctx->num_sections,absR,absZ,&absR,&absZ);
703     r = (r > 0) ? absR : -absR;
704     z = (z > 0) ? absZ : -absZ;
705   }
706   xyz[0] = r;
707   xyz[1] = z;
708   if (dim==3) xyz[2] = abc[2];
709 
710   PetscFunctionReturn(0);
711 }
712 
713 static PetscErrorCode ErrorIndicator_Simple(PetscInt dim, PetscReal volume, PetscReal x[], PetscInt Nc, const PetscInt Nf[], const PetscScalar u[], const PetscScalar u_x[], PetscReal *error, void *actx)
714 {
715   PetscReal err = 0.0;
716   PetscInt  f = *(PetscInt*)actx, j;
717   PetscFunctionBegin;
718   for (j = 0; j < dim; ++j) {
719     err += PetscSqr(PetscRealPart(u_x[f*dim+j]));
720   }
721   err = PetscRealPart(u[f]); /* just use rho */
722   *error = volume * err; /* * (ctx->axisymmetric ? 2.*PETSC_PI * r : 1); */
723   PetscFunctionReturn(0);
724 }
725 
726 static PetscErrorCode LandauDMCreateVMesh(MPI_Comm comm, const PetscInt dim, const char prefix[], LandauCtx *ctx, DM *dm)
727 {
728   PetscErrorCode ierr;
729   PetscReal      radius = ctx->radius;
730   size_t         len;
731   char           fname[128] = ""; /* we can add a file if we want */
732 
733   PetscFunctionBegin;
734   /* create DM */
735   ierr = PetscStrlen(fname, &len);CHKERRQ(ierr);
736   if (len) {
737     PetscInt dim2;
738     ierr = DMPlexCreateFromFile(comm, fname, ctx->interpolate, dm);CHKERRQ(ierr);
739     ierr = DMGetDimension(*dm, &dim2);CHKERRQ(ierr);
740     if (LANDAU_DIM != dim2) SETERRQ2(comm, PETSC_ERR_PLIB, "dim %D != LANDAU_DIM %d",dim2,LANDAU_DIM);
741   } else {    /* p4est, quads */
742     /* Create plex mesh of Landau domain */
743     if (!ctx->sphere) {
744       PetscInt       cells[] = {2,2,2};
745       PetscReal      lo[] = {-radius,-radius,-radius}, hi[] = {radius,radius,radius};
746       DMBoundaryType periodicity[3] = {DM_BOUNDARY_NONE, dim==2 ? DM_BOUNDARY_NONE : DM_BOUNDARY_NONE, DM_BOUNDARY_NONE};
747       if (dim==2) { lo[0] = 0; cells[0] = 1; }
748       ierr = DMPlexCreateBoxMesh(comm, dim, PETSC_FALSE, cells, lo, hi, periodicity, PETSC_TRUE, dm);CHKERRQ(ierr);
749       ierr = DMLocalizeCoordinates(*dm);CHKERRQ(ierr); /* needed for periodic */
750       if (dim==3) {ierr = PetscObjectSetName((PetscObject) *dm, "cube");CHKERRQ(ierr);}
751       else {ierr = PetscObjectSetName((PetscObject) *dm, "half-plane");CHKERRQ(ierr);}
752     } else if (dim==2) {
753       PetscInt       numCells,cells[16][4],i,j;
754       PetscInt       numVerts;
755       PetscReal      inner_radius1 = ctx->i_radius, inner_radius2 = ctx->e_radius;
756       PetscReal      *flatCoords = NULL;
757       PetscInt       *flatCells = NULL, *pcell;
758       if (ctx->num_sections==2) {
759 #if 1
760         numCells = 5;
761         numVerts = 10;
762         int cells2[][4] = { {0,1,4,3},
763                             {1,2,5,4},
764                             {3,4,7,6},
765                             {4,5,8,7},
766                             {6,7,8,9} };
767         for (i = 0; i < numCells; i++) for (j = 0; j < 4; j++) cells[i][j] = cells2[i][j];
768         ierr = PetscMalloc2(numVerts * 2, &flatCoords, numCells * 4, &flatCells);CHKERRQ(ierr);
769         {
770           PetscReal (*coords)[2] = (PetscReal (*) [2]) flatCoords;
771           for (j = 0; j < numVerts-1; j++) {
772             PetscReal z, r, theta = -PETSC_PI/2 + (j%3) * PETSC_PI/2;
773             PetscReal rad = (j >= 6) ? inner_radius1 : (j >= 3) ? inner_radius2 : ctx->radius;
774             z = rad * PetscSinReal(theta);
775             coords[j][1] = z;
776             r = rad * PetscCosReal(theta);
777             coords[j][0] = r;
778           }
779           coords[numVerts-1][0] = coords[numVerts-1][1] = 0;
780         }
781 #else
782         numCells = 4;
783         numVerts = 8;
784         static int     cells2[][4] = {{0,1,2,3},
785                                       {4,5,1,0},
786                                       {5,6,2,1},
787                                       {6,7,3,2}};
788         for (i = 0; i < numCells; i++) for (j = 0; j < 4; j++) cells[i][j] = cells2[i][j];
789         ierr = loc2(numVerts * 2, &flatCoords, numCells * 4, &flatCells);CHKERRQ(ierr);
790         {
791           PetscReal (*coords)[2] = (PetscReal (*) [2]) flatCoords;
792           PetscInt j;
793           for (j = 0; j < 8; j++) {
794             PetscReal z, r;
795             PetscReal theta = -PETSC_PI/2 + (j%4) * PETSC_PI/3.;
796             PetscReal rad = ctx->radius * ((j < 4) ? 0.5 : 1.0);
797             z = rad * PetscSinReal(theta);
798             coords[j][1] = z;
799             r = rad * PetscCosReal(theta);
800             coords[j][0] = r;
801           }
802         }
803 #endif
804       } else if (ctx->num_sections==3) {
805         numCells = 7;
806         numVerts = 12;
807         int cells2[][4] = { {0,1,5,4},
808                             {1,2,6,5},
809                             {2,3,7,6},
810                             {4,5,9,8},
811                             {5,6,10,9},
812                             {6,7,11,10},
813                             {8,9,10,11} };
814         for (i = 0; i < numCells; i++) for (j = 0; j < 4; j++) cells[i][j] = cells2[i][j];
815         ierr = PetscMalloc2(numVerts * 2, &flatCoords, numCells * 4, &flatCells);CHKERRQ(ierr);
816         {
817           PetscReal (*coords)[2] = (PetscReal (*) [2]) flatCoords;
818           for (j = 0; j < numVerts; j++) {
819             PetscReal z, r, theta = -PETSC_PI/2 + (j%4) * PETSC_PI/3;
820             PetscReal rad = (j >= 8) ? inner_radius1 : (j >= 4) ? inner_radius2 : ctx->radius;
821             z = rad * PetscSinReal(theta);
822             coords[j][1] = z;
823             r = rad * PetscCosReal(theta);
824             coords[j][0] = r;
825           }
826         }
827       } else if (ctx->num_sections==4) {
828         numCells = 10;
829         numVerts = 16;
830         int cells2[][4] = { {0,1,6,5},
831                             {1,2,7,6},
832                             {2,3,8,7},
833                             {3,4,9,8},
834                             {5,6,11,10},
835                             {6,7,12,11},
836                             {7,8,13,12},
837                             {8,9,14,13},
838                             {10,11,12,15},
839                             {12,13,14,15}};
840         for (i = 0; i < numCells; i++) for (j = 0; j < 4; j++) cells[i][j] = cells2[i][j];
841         ierr = PetscMalloc2(numVerts * 2, &flatCoords, numCells * 4, &flatCells);CHKERRQ(ierr);
842         {
843           PetscReal (*coords)[2] = (PetscReal (*) [2]) flatCoords;
844           for (j = 0; j < numVerts-1; j++) {
845             PetscReal z, r, theta = -PETSC_PI/2 + (j%5) * PETSC_PI/4;
846             PetscReal rad = (j >= 10) ? inner_radius1 : (j >= 5) ? inner_radius2 : ctx->radius;
847             z = rad * PetscSinReal(theta);
848             coords[j][1] = z;
849             r = rad * PetscCosReal(theta);
850             coords[j][0] = r;
851           }
852           coords[numVerts-1][0] = coords[numVerts-1][1] = 0;
853         }
854       } else {
855         numCells = 0;
856         numVerts = 0;
857       }
858       for (j = 0, pcell = flatCells; j < numCells; j++, pcell += 4) {
859         pcell[0] = cells[j][0]; pcell[1] = cells[j][1];
860         pcell[2] = cells[j][2]; pcell[3] = cells[j][3];
861       }
862       ierr = DMPlexCreateFromCellListPetsc(comm,2,numCells,numVerts,4,ctx->interpolate,flatCells,2,flatCoords,dm);CHKERRQ(ierr);
863       ierr = PetscFree2(flatCoords,flatCells);CHKERRQ(ierr);
864       ierr = PetscObjectSetName((PetscObject) *dm, "semi-circle");CHKERRQ(ierr);
865     } else SETERRQ(ctx->comm, PETSC_ERR_PLIB, "Velocity space meshes does not support cubed sphere");
866   }
867   ierr = PetscObjectSetOptionsPrefix((PetscObject)*dm,prefix);CHKERRQ(ierr);
868 
869   ierr = DMSetFromOptions(*dm);CHKERRQ(ierr); /* Plex refine */
870 
871   { /* p4est? */
872     char      convType[256];
873     PetscBool flg;
874     ierr = PetscOptionsBegin(ctx->comm, prefix, "Mesh conversion options", "DMPLEX");CHKERRQ(ierr);
875     ierr = PetscOptionsFList("-dm_landau_type","Convert DMPlex to another format (should not be Plex!)","plexland.c",DMList,DMPLEX,convType,256,&flg);CHKERRQ(ierr);
876     ierr = PetscOptionsEnd();
877     if (flg) {
878       DM dmforest;
879       ierr = DMConvert(*dm,convType,&dmforest);CHKERRQ(ierr);
880       if (dmforest) {
881         PetscBool isForest;
882         if (dmforest->prealloc_only != (*dm)->prealloc_only) SETERRQ(PetscObjectComm((PetscObject)dm),PETSC_ERR_SUP,"plex->prealloc_only != dm->prealloc_only");
883         ierr = PetscObjectSetOptionsPrefix((PetscObject)dmforest,prefix);CHKERRQ(ierr);
884         ierr = DMIsForest(dmforest,&isForest);CHKERRQ(ierr);
885         if (isForest) {
886           if (ctx->sphere && ctx->inflate) {
887             ierr = DMForestSetBaseCoordinateMapping(dmforest,GeometryDMLandau,ctx);CHKERRQ(ierr);
888           }
889           if (dmforest->prealloc_only != (*dm)->prealloc_only) SETERRQ(PetscObjectComm((PetscObject)dm),PETSC_ERR_SUP,"plex->prealloc_only != dm->prealloc_only");
890           ierr = DMDestroy(dm);CHKERRQ(ierr);
891           *dm = dmforest;
892           ctx->errorIndicator = ErrorIndicator_Simple; /* flag for Forest */
893         } else SETERRQ(ctx->comm, PETSC_ERR_USER, "Converted to non Forest?");
894       } else SETERRQ(ctx->comm, PETSC_ERR_USER, "Convert failed?");
895     }
896   }
897   ierr = PetscObjectSetName((PetscObject) *dm, "Mesh");CHKERRQ(ierr);
898   PetscFunctionReturn(0);
899 }
900 
901 static PetscErrorCode SetupDS(DM dm, PetscInt dim, LandauCtx *ctx)
902 {
903   PetscErrorCode  ierr;
904   PetscInt        ii;
905   PetscFunctionBegin;
906   for (ii=0;ii<ctx->num_species;ii++) {
907     char     buf[256];
908     if (ii==0) ierr = PetscSNPrintf(buf, 256, "e");
909     else {ierr = PetscSNPrintf(buf, 256, "i%D", ii);CHKERRQ(ierr);}
910     /* Setup Discretization - FEM */
911     ierr = PetscFECreateDefault(PetscObjectComm((PetscObject) dm), dim, 1, PETSC_FALSE, NULL, PETSC_DECIDE, &ctx->fe[ii]);CHKERRQ(ierr);
912     ierr = PetscObjectSetName((PetscObject) ctx->fe[ii], buf);CHKERRQ(ierr);
913     ierr = DMSetField(dm, ii, NULL, (PetscObject) ctx->fe[ii]);CHKERRQ(ierr);
914   }
915   ierr = DMCreateDS(dm);CHKERRQ(ierr);
916   if (1) {
917     PetscInt        ii;
918     PetscSection    section;
919     ierr = DMGetSection(dm, &section);CHKERRQ(ierr);
920     for (ii=0;ii<ctx->num_species;ii++) {
921       char buf[256];
922       if (ii==0) ierr = PetscSNPrintf(buf, 256, "se");
923       else ierr = PetscSNPrintf(buf, 256, "si%D", ii);
924       ierr = PetscSectionSetComponentName(section, ii, 0, buf);CHKERRQ(ierr);
925     }
926   }
927   PetscFunctionReturn(0);
928 }
929 
930 /* Define a Maxwellian function for testing out the operator. */
931 
932 /* Using cartesian velocity space coordinates, the particle */
933 /* density, [1/m^3], is defined according to */
934 
935 /* $$ n=\int_{R^3} dv^3 \left(\frac{m}{2\pi T}\right)^{3/2}\exp [- mv^2/(2T)] $$ */
936 
937 /* Using some constant, c, we normalize the velocity vector into a */
938 /* dimensionless variable according to v=c*x. Thus the density, $n$, becomes */
939 
940 /* $$ n=\int_{R^3} dx^3 \left(\frac{mc^2}{2\pi T}\right)^{3/2}\exp [- mc^2/(2T)*x^2] $$ */
941 
942 /* Defining $\theta=2T/mc^2$, we thus find that the probability density */
943 /* for finding the particle within the interval in a box dx^3 around x is */
944 
945 /* f(x;\theta)=\left(\frac{1}{\pi\theta}\right)^{3/2} \exp [ -x^2/\theta ] */
946 
947 typedef struct {
948   LandauCtx   *ctx;
949   PetscReal kT_m;
950   PetscReal n;
951   PetscReal shift;
952 } MaxwellianCtx;
953 
954 static PetscErrorCode maxwellian(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf_dummy, PetscScalar *u, void *actx)
955 {
956   MaxwellianCtx *mctx = (MaxwellianCtx*)actx;
957   LandauCtx     *ctx = mctx->ctx;
958   PetscInt      i;
959   PetscReal     v2 = 0, theta = 2*mctx->kT_m/(ctx->v_0*ctx->v_0); /* theta = 2kT/mc^2 */
960   PetscFunctionBegin;
961   /* compute the exponents, v^2 */
962   for (i = 0; i < dim; ++i) v2 += x[i]*x[i];
963   /* evaluate the Maxwellian */
964   u[0] = mctx->n*PetscPowReal(PETSC_PI*theta,-1.5)*(PetscExpReal(-v2/theta));
965   if (mctx->shift!=0.) {
966     v2 = 0;
967     for (i = 0; i < dim-1; ++i) v2 += x[i]*x[i];
968     v2 += (x[dim-1]-mctx->shift)*(x[dim-1]-mctx->shift);
969     /* evaluate the shifted Maxwellian */
970     u[0] += mctx->n*PetscPowReal(PETSC_PI*theta,-1.5)*(PetscExpReal(-v2/theta));
971   }
972   PetscFunctionReturn(0);
973 }
974 
975 /*@
976  LandauAddMaxwellians - Add a Maxwellian distribution to a state
977 
978  Collective on X
979 
980  Input Parameters:
981  .   dm - The mesh
982  +   time - Current time
983  -   temps - Temperatures of each species
984  .   ns - Number density of each species
985  +   actx - Landau context
986 
987  Output Parameter:
988  .   X  - The state
989 
990  Level: beginner
991 
992  .keywords: mesh
993  .seealso: LandauCreateVelocitySpace()
994  @*/
995 PetscErrorCode LandauAddMaxwellians(DM dm, Vec X, PetscReal time, PetscReal temps[], PetscReal ns[], void *actx)
996 {
997   LandauCtx      *ctx = (LandauCtx*)actx;
998   PetscErrorCode (*initu[LANDAU_MAX_SPECIES])(PetscInt, PetscReal, const PetscReal [], PetscInt, PetscScalar [], void *);
999   PetscErrorCode ierr,ii;
1000   PetscInt       dim;
1001   MaxwellianCtx  *mctxs[LANDAU_MAX_SPECIES], data[LANDAU_MAX_SPECIES];
1002 
1003   PetscFunctionBegin;
1004   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
1005   if (!ctx) { ierr = DMGetApplicationContext(dm, &ctx);CHKERRQ(ierr); }
1006   for (ii=0;ii<ctx->num_species;ii++) {
1007     mctxs[ii] = &data[ii];
1008     data[ii].ctx = ctx;
1009     data[ii].kT_m = ctx->k*temps[ii]/ctx->masses[ii]; /* kT/m */
1010     data[ii].n = ns[ii];
1011     initu[ii] = maxwellian;
1012     data[ii].shift = 0;
1013   }
1014   data[0].shift = ctx->electronShift;
1015   /* need to make ADD_ALL_VALUES work - TODO */
1016   ierr = DMProjectFunction(dm, time, initu, (void**)mctxs, INSERT_ALL_VALUES, X);CHKERRQ(ierr);
1017   PetscFunctionReturn(0);
1018 }
1019 
1020 /*
1021  LandauSetInitialCondition - Addes Maxwellians with context
1022 
1023  Collective on X
1024 
1025  Input Parameters:
1026  .   dm - The mesh
1027  +   actx - Landau context with T and n
1028 
1029  Output Parameter:
1030  .   X  - The state
1031 
1032  Level: beginner
1033 
1034  .keywords: mesh
1035  .seealso: LandauCreateVelocitySpace(), LandauAddMaxwellians()
1036  */
1037 static PetscErrorCode LandauSetInitialCondition(DM dm, Vec X, void *actx)
1038 {
1039   LandauCtx        *ctx = (LandauCtx*)actx;
1040   PetscErrorCode ierr;
1041   PetscFunctionBegin;
1042   if (!ctx) { ierr = DMGetApplicationContext(dm, &ctx);CHKERRQ(ierr); }
1043   ierr = VecZeroEntries(X);CHKERRQ(ierr);
1044   ierr = LandauAddMaxwellians(dm, X, 0.0, ctx->thermal_temps, ctx->n, ctx);CHKERRQ(ierr);
1045   PetscFunctionReturn(0);
1046 }
1047 
1048 static PetscErrorCode adaptToleranceFEM(PetscFE fem, Vec sol, PetscReal refineTol[], PetscReal coarsenTol[], PetscInt type, LandauCtx *ctx, DM *newDM)
1049 {
1050   DM               dm, plex, adaptedDM = NULL;
1051   PetscDS          prob;
1052   PetscBool        isForest;
1053   PetscQuadrature  quad;
1054   PetscInt         Nq, *Nb, cStart, cEnd, c, dim, qj, k;
1055   DMLabel          adaptLabel = NULL;
1056   PetscErrorCode   ierr;
1057 
1058   PetscFunctionBegin;
1059   ierr = VecGetDM(sol, &dm);CHKERRQ(ierr);
1060   ierr = DMCreateDS(dm);CHKERRQ(ierr);
1061   ierr = DMGetDS(dm, &prob);CHKERRQ(ierr);
1062   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
1063   ierr = DMIsForest(dm, &isForest);CHKERRQ(ierr);
1064   ierr = DMConvert(dm, DMPLEX, &plex);CHKERRQ(ierr);
1065   ierr = DMPlexGetHeightStratum(plex,0,&cStart,&cEnd);CHKERRQ(ierr);
1066   ierr = DMLabelCreate(PETSC_COMM_SELF,"adapt",&adaptLabel);CHKERRQ(ierr);
1067   ierr = PetscFEGetQuadrature(fem, &quad);CHKERRQ(ierr);
1068   ierr = PetscQuadratureGetData(quad, NULL, NULL, &Nq, NULL, NULL);CHKERRQ(ierr);
1069   if (Nq >LANDAU_MAX_NQ) SETERRQ2(ctx->comm,PETSC_ERR_ARG_WRONG,"Order too high. Nq = %D > LANDAU_MAX_NQ (%D)",Nq,LANDAU_MAX_NQ);
1070   ierr = PetscDSGetDimensions(prob, &Nb);CHKERRQ(ierr);
1071   if (type==4) {
1072     for (c = cStart; c < cEnd; c++) {
1073       ierr = DMLabelSetValue(adaptLabel, c, DM_ADAPT_REFINE);CHKERRQ(ierr);
1074     }
1075     ierr = PetscInfo1(sol, "Phase:%s: Uniform refinement\n","adaptToleranceFEM");CHKERRQ(ierr);
1076   } else if (type==2) {
1077     PetscInt  rCellIdx[8], eCellIdx[64], iCellIdx[64], eMaxIdx = -1, iMaxIdx = -1, nr = 0, nrmax = (dim==3) ? 8 : 2;
1078     PetscReal minRad = PETSC_INFINITY, r, eMinRad = PETSC_INFINITY, iMinRad = PETSC_INFINITY;
1079     for (c = 0; c < 64; c++) { eCellIdx[c] = iCellIdx[c] = -1; }
1080     for (c = cStart; c < cEnd; c++) {
1081       PetscReal    tt, v0[LANDAU_MAX_NQ*3], detJ[LANDAU_MAX_NQ];
1082       ierr = DMPlexComputeCellGeometryFEM(plex, c, quad, v0, NULL, NULL, detJ);CHKERRQ(ierr);
1083       for (qj = 0; qj < Nq; ++qj) {
1084         tt = PetscSqr(v0[dim*qj+0]) + PetscSqr(v0[dim*qj+1]) + PetscSqr(((dim==3) ? v0[dim*qj+2] : 0));
1085         r = PetscSqrtReal(tt);
1086         if (r < minRad - PETSC_SQRT_MACHINE_EPSILON*10.) {
1087           minRad = r;
1088           nr = 0;
1089           rCellIdx[nr++]= c;
1090           ierr = PetscInfo4(sol, "\t\tPhase: adaptToleranceFEM Found first inner r=%e, cell %D, qp %D/%D\n", r, c, qj+1, Nq);CHKERRQ(ierr);
1091         } else if ((r-minRad) < PETSC_SQRT_MACHINE_EPSILON*100. && nr < nrmax) {
1092           for (k=0;k<nr;k++) if (c == rCellIdx[k]) break;
1093           if (k==nr) {
1094             rCellIdx[nr++]= c;
1095             ierr = PetscInfo5(sol, "\t\t\tPhase: adaptToleranceFEM Found another inner r=%e, cell %D, qp %D/%D, d=%e\n", r, c, qj+1, Nq, r-minRad);CHKERRQ(ierr);
1096           }
1097         }
1098         if (ctx->sphere) {
1099           if ((tt=r-ctx->e_radius) > 0) {
1100             PetscInfo2(sol, "\t\t\t %D cell r=%g\n",c,tt);
1101             if (tt < eMinRad - PETSC_SQRT_MACHINE_EPSILON*100.) {
1102               eMinRad = tt;
1103               eMaxIdx = 0;
1104               eCellIdx[eMaxIdx++] = c;
1105             } else if (eMaxIdx > 0 && (tt-eMinRad) <= PETSC_SQRT_MACHINE_EPSILON && c != eCellIdx[eMaxIdx-1]) {
1106               eCellIdx[eMaxIdx++] = c;
1107             }
1108           }
1109           if ((tt=r-ctx->i_radius) > 0) {
1110             if (tt < iMinRad - 1.e-5) {
1111               iMinRad = tt;
1112               iMaxIdx = 0;
1113               iCellIdx[iMaxIdx++] = c;
1114             } else if (iMaxIdx > 0 && (tt-iMinRad) <= PETSC_SQRT_MACHINE_EPSILON && c != iCellIdx[iMaxIdx-1]) {
1115               iCellIdx[iMaxIdx++] = c;
1116             }
1117           }
1118         }
1119       }
1120     }
1121     for (k=0;k<nr;k++) {
1122       ierr = DMLabelSetValue(adaptLabel, rCellIdx[k], DM_ADAPT_REFINE);CHKERRQ(ierr);
1123     }
1124     if (ctx->sphere) {
1125       for (c = 0; c < eMaxIdx; c++) {
1126         ierr = DMLabelSetValue(adaptLabel, eCellIdx[c], DM_ADAPT_REFINE);CHKERRQ(ierr);
1127         ierr = PetscInfo3(sol, "\t\tPhase:%s: refine sphere e cell %D r=%g\n","adaptToleranceFEM",eCellIdx[c],eMinRad);
1128       }
1129       for (c = 0; c < iMaxIdx; c++) {
1130         ierr = DMLabelSetValue(adaptLabel, iCellIdx[c], DM_ADAPT_REFINE);CHKERRQ(ierr);
1131         ierr = PetscInfo3(sol, "\t\tPhase:%s: refine sphere i cell %D r=%g\n","adaptToleranceFEM",iCellIdx[c],iMinRad);
1132       }
1133     }
1134     ierr = PetscInfo4(sol, "Phase:%s: Adaptive refine origin cells %D,%D r=%g\n","adaptToleranceFEM",rCellIdx[0],rCellIdx[1],minRad);
1135   } else if (type==0 || type==1 || type==3) { /* refine along r=0 axis */
1136     PetscScalar  *coef = NULL;
1137     Vec          coords;
1138     PetscInt     csize,Nv,d,nz;
1139     DM           cdm;
1140     PetscSection cs;
1141     ierr = DMGetCoordinatesLocal(dm, &coords);CHKERRQ(ierr);
1142     ierr = DMGetCoordinateDM(dm, &cdm);CHKERRQ(ierr);
1143     ierr = DMGetLocalSection(cdm, &cs);CHKERRQ(ierr);
1144     for (c = cStart; c < cEnd; c++) {
1145       PetscInt doit = 0, outside = 0;
1146       ierr = DMPlexVecGetClosure(cdm, cs, coords, c, &csize, &coef);CHKERRQ(ierr);
1147       Nv = csize/dim;
1148       for (nz = d = 0; d < Nv; d++) {
1149         PetscReal z = PetscRealPart(coef[d*dim + (dim-1)]), x = PetscSqr(PetscRealPart(coef[d*dim + 0])) + ((dim==3) ? PetscSqr(PetscRealPart(coef[d*dim + 1])) : 0);
1150         x = PetscSqrtReal(x);
1151         if (x < PETSC_MACHINE_EPSILON*10. && PetscAbs(z)<PETSC_MACHINE_EPSILON*10.) doit = 1;             /* refine origin */
1152         else if (type==0 && (z < -PETSC_MACHINE_EPSILON*10. || z > ctx->re_radius+PETSC_MACHINE_EPSILON*10.)) outside++;   /* first pass don't refine bottom */
1153         else if (type==1 && (z > ctx->vperp0_radius1 || z < -ctx->vperp0_radius1)) outside++; /* don't refine outside electron refine radius */
1154         else if (type==3 && (z > ctx->vperp0_radius2 || z < -ctx->vperp0_radius2)) outside++; /* don't refine outside ion refine radius */
1155         if (x < PETSC_MACHINE_EPSILON*10.) nz++;
1156       }
1157       ierr = DMPlexVecRestoreClosure(cdm, cs, coords, c, &csize, &coef);CHKERRQ(ierr);
1158       if (doit || (outside<Nv && nz)) {
1159         ierr = DMLabelSetValue(adaptLabel, c, DM_ADAPT_REFINE);CHKERRQ(ierr);
1160       }
1161     }
1162     ierr = PetscInfo1(sol, "Phase:%s: RE refinement\n","adaptToleranceFEM");
1163   }
1164   ierr = DMDestroy(&plex);CHKERRQ(ierr);
1165   ierr = DMAdaptLabel(dm, adaptLabel, &adaptedDM);CHKERRQ(ierr);
1166   ierr = DMLabelDestroy(&adaptLabel);CHKERRQ(ierr);
1167   *newDM = adaptedDM;
1168   if (adaptedDM) {
1169     if (isForest) {
1170       ierr = DMForestSetAdaptivityForest(adaptedDM,NULL);CHKERRQ(ierr);
1171     }
1172     ierr = DMConvert(adaptedDM, DMPLEX, &plex);CHKERRQ(ierr);
1173     ierr = DMPlexGetHeightStratum(plex,0,&cStart,&cEnd);CHKERRQ(ierr);
1174     ierr = PetscInfo2(sol, "\tPhase: adaptToleranceFEM: %D cells, %d total quadrature points\n",cEnd-cStart,Nq*(cEnd-cStart));CHKERRQ(ierr);
1175     ierr = DMDestroy(&plex);CHKERRQ(ierr);
1176   }
1177   PetscFunctionReturn(0);
1178 }
1179 
1180 static PetscErrorCode adapt(DM *dm, LandauCtx *ctx, Vec *uu)
1181 {
1182   PetscErrorCode  ierr;
1183   PetscInt        type, limits[5] = {ctx->numRERefine,ctx->nZRefine1,ctx->maxRefIts,ctx->nZRefine2,ctx->postAMRRefine};
1184   PetscInt        adaptIter;
1185 
1186   PetscFunctionBegin;
1187   for (type=0;type<5;type++) {
1188     for (adaptIter = 0; adaptIter<limits[type];adaptIter++) {
1189       DM  dmNew = NULL;
1190       ierr = adaptToleranceFEM(ctx->fe[0], *uu, ctx->refineTol, ctx->coarsenTol, type, ctx, &dmNew);CHKERRQ(ierr);
1191       if (!dmNew) SETERRQ(ctx->comm,PETSC_ERR_ARG_WRONG,"should not happen");
1192       else {
1193         ierr = DMDestroy(dm);CHKERRQ(ierr);
1194         ierr = VecDestroy(uu);CHKERRQ(ierr);
1195         ierr = DMCreateGlobalVector(dmNew,uu);CHKERRQ(ierr);
1196         ierr = PetscObjectSetName((PetscObject) *uu, "u");CHKERRQ(ierr);
1197         ierr = LandauSetInitialCondition(dmNew, *uu, ctx);CHKERRQ(ierr);
1198         *dm = dmNew;
1199       }
1200     }
1201   }
1202   PetscFunctionReturn(0);
1203 }
1204 
1205 static PetscErrorCode ProcessOptions(LandauCtx *ctx, const char prefix[])
1206 {
1207   PetscErrorCode    ierr;
1208   PetscBool         flg, sph_flg;
1209   PetscInt          ii,nt,nm,nc;
1210   DM                dummy;
1211 
1212   PetscFunctionBegin;
1213   ierr = DMCreate(ctx->comm,&dummy);CHKERRQ(ierr);
1214   /* get options - initialize context */
1215   ctx->verbose = 1;
1216   ctx->interpolate = PETSC_TRUE;
1217   ctx->gpu_assembly = PETSC_TRUE;
1218   ctx->sphere = PETSC_FALSE;
1219   ctx->inflate = PETSC_FALSE;
1220   ctx->electronShift = 0;
1221   ctx->errorIndicator = NULL;
1222   ctx->radius = 5.; /* electron thermal radius (velocity) */
1223   ctx->re_radius = 0.;
1224   ctx->vperp0_radius1 = 0;
1225   ctx->vperp0_radius2 = 0;
1226   ctx->e_radius = .1;
1227   ctx->i_radius = .01;
1228   ctx->maxRefIts = 5;
1229   ctx->postAMRRefine = 0;
1230   ctx->nZRefine1 = 0;
1231   ctx->nZRefine2 = 0;
1232   ctx->numRERefine = 0;
1233   ctx->aux_bool = PETSC_FALSE;
1234   ctx->num_sections = 3; /* 2, 3 or 4 */
1235   /* species - [0] electrons, [1] one ion species eg, duetarium, [2] heavy impurity ion, ... */
1236   ctx->charges[0] = -1;  /* electron charge (MKS) */
1237   ctx->masses[0] = 1/1835.5; /* temporary value in proton mass */
1238   ctx->n[0] = 1;
1239   ctx->thermal_temps[0] = 1;
1240   /* constants, etc. */
1241   ctx->epsilon0 = 8.8542e-12; /* permittivity of free space (MKS) F/m */
1242   ctx->k = 1.38064852e-23; /* Boltzmann constant (MKS) J/K */
1243   ctx->lnLam = 10;         /* cross section ratio large - small angle collisions */
1244   ctx->n_0 = 1.e20;        /* typical plasma n, but could set it to 1 */
1245   ctx->Ez = 0;
1246   ctx->v_0 = 1; /* in electron thermal velocity */
1247   ctx->subThreadBlockSize = 1; /* for device and maybe OMP */
1248   ctx->numConcurrency = 1; /* for device */
1249   ctx->SData_d = NULL;     /* for device */
1250   ctx->times[0] = 0;
1251   ctx->init = PETSC_FALSE; // doit first time
1252   ctx->use_matrix_mass = PETSC_FALSE; /* fast but slightly fragile */
1253   ctx->plex = NULL;     /* cache as expensive to Convert */
1254   ierr = PetscOptionsBegin(ctx->comm, prefix, "Options for Fokker-Plank-Landau collision operator", "none");CHKERRQ(ierr);
1255   {
1256     char opstring[256];
1257 #if defined(PETSC_HAVE_KOKKOS)
1258     ctx->deviceType = LANDAU_KOKKOS;
1259     ierr = PetscStrcpy(opstring,"kokkos");CHKERRQ(ierr);
1260 #if defined(PETSC_HAVE_CUDA)
1261     ctx->subThreadBlockSize = 16;
1262 #endif
1263 #elif defined(PETSC_HAVE_CUDA)
1264     ctx->deviceType = LANDAU_CUDA;
1265     ierr = PetscStrcpy(opstring,"cuda");CHKERRQ(ierr);
1266 #else
1267     ctx->deviceType = LANDAU_CPU;
1268     ierr = PetscStrcpy(opstring,"cpu");CHKERRQ(ierr);
1269     ctx->subThreadBlockSize = 0;
1270 #endif
1271     ierr = PetscOptionsString("-dm_landau_device_type","Use kernels on 'cpu', 'cuda', or 'kokkos'","plexland.c",opstring,opstring,256,NULL);CHKERRQ(ierr);
1272     ierr = PetscStrcmp("cpu",opstring,&flg);CHKERRQ(ierr);
1273     if (flg) {
1274       ctx->deviceType = LANDAU_CPU;
1275       ctx->subThreadBlockSize = 0;
1276     } else {
1277       ierr = PetscStrcmp("cuda",opstring,&flg);CHKERRQ(ierr);
1278       if (flg) {
1279         ctx->deviceType = LANDAU_CUDA;
1280         ctx->subThreadBlockSize = 0;
1281       } else {
1282         ierr = PetscStrcmp("kokkos",opstring,&flg);CHKERRQ(ierr);
1283         if (flg) ctx->deviceType = LANDAU_KOKKOS;
1284         else SETERRQ1(ctx->comm,PETSC_ERR_ARG_WRONG,"-dm_landau_device_type %s",opstring);
1285       }
1286     }
1287   }
1288   ierr = PetscOptionsBool("-dm_landau_gpu_assembly", "Assemble Jacobian on GPU", "plexland.c", ctx->gpu_assembly, &ctx->gpu_assembly, NULL);CHKERRQ(ierr);
1289   ierr = PetscOptionsReal("-dm_landau_electron_shift","Shift in thermal velocity of electrons","none",ctx->electronShift,&ctx->electronShift, NULL);CHKERRQ(ierr);
1290   ierr = PetscOptionsBool("-dm_landau_sphere", "use sphere/semi-circle domain instead of rectangle", "plexland.c", ctx->sphere, &ctx->sphere, &sph_flg);CHKERRQ(ierr);
1291   ierr = PetscOptionsBool("-dm_landau_inflate", "With sphere, inflate for curved edges (no AMR)", "plexland.c", ctx->inflate, &ctx->inflate, NULL);CHKERRQ(ierr);
1292   ierr = PetscOptionsInt("-dm_landau_amr_re_levels", "Number of levels to refine along v_perp=0, z>0", "plexland.c", ctx->numRERefine, &ctx->numRERefine, NULL);CHKERRQ(ierr);
1293   ierr = PetscOptionsInt("-dm_landau_amr_z_refine1",  "Number of levels to refine along v_perp=0", "plexland.c", ctx->nZRefine1, &ctx->nZRefine1, NULL);CHKERRQ(ierr);
1294   ierr = PetscOptionsInt("-dm_landau_amr_z_refine2",  "Number of levels to refine along v_perp=0", "plexland.c", ctx->nZRefine2, &ctx->nZRefine2, NULL);CHKERRQ(ierr);
1295   ierr = PetscOptionsInt("-dm_landau_amr_levels_max", "Number of AMR levels of refinement around origin after r=0 refinements", "plexland.c", ctx->maxRefIts, &ctx->maxRefIts, NULL);CHKERRQ(ierr);
1296   ierr = PetscOptionsInt("-dm_landau_amr_post_refine", "Number of levels to uniformly refine after AMR", "plexland.c", ctx->postAMRRefine, &ctx->postAMRRefine, NULL);CHKERRQ(ierr);
1297   ierr = PetscOptionsInt("-dm_landau_verbose", "", "plexland.c", ctx->verbose, &ctx->verbose, NULL);CHKERRQ(ierr);
1298   ierr = PetscOptionsReal("-dm_landau_re_radius","velocity range to refine on positive (z>0) r=0 axis for runaways","plexland.c",ctx->re_radius,&ctx->re_radius, &flg);CHKERRQ(ierr);
1299   ierr = PetscOptionsReal("-dm_landau_z_radius1","velocity range to refine r=0 axis (for electrons)","plexland.c",ctx->vperp0_radius1,&ctx->vperp0_radius1, &flg);CHKERRQ(ierr);
1300   ierr = PetscOptionsReal("-dm_landau_z_radius2","velocity range to refine r=0 axis (for ions) after origin AMR","plexland.c",ctx->vperp0_radius2,&ctx->vperp0_radius2, &flg);CHKERRQ(ierr);
1301   ierr = PetscOptionsReal("-dm_landau_Ez","Initial parallel electric field in unites of Conner-Hastie criticle field","plexland.c",ctx->Ez,&ctx->Ez, NULL);CHKERRQ(ierr);
1302   ierr = PetscOptionsReal("-dm_landau_n_0","Normalization constant for number density","plexland.c",ctx->n_0,&ctx->n_0, NULL);CHKERRQ(ierr);
1303   ierr = PetscOptionsReal("-dm_landau_ln_lambda","Cross section parameter","plexland.c",ctx->lnLam,&ctx->lnLam, NULL);CHKERRQ(ierr);
1304   ierr = PetscOptionsInt("-dm_landau_num_sections", "Number of tangential section in (2D) grid, 2, 3, of 4", "plexland.c", ctx->num_sections, &ctx->num_sections, NULL);CHKERRQ(ierr);
1305   ierr = PetscOptionsInt("-dm_landau_num_thread_teams", "The number of other concurrent runs to make room for", "plexland.c", ctx->numConcurrency, &ctx->numConcurrency, NULL);CHKERRQ(ierr);
1306   ierr = PetscOptionsBool("-dm_landau_use_mataxpy_mass", "Use fast but slightly fragile MATAXPY to add mass term", "plexland.c", ctx->use_matrix_mass, &ctx->use_matrix_mass, NULL);CHKERRQ(ierr);
1307 
1308   /* get num species with tempurature*/
1309   {
1310     PetscReal arr[100];
1311     nt = 100;
1312     ierr = PetscOptionsRealArray("-dm_landau_thermal_temps", "Temperature of each species [e,i_0,i_1,...] in keV", "plexland.c", arr, &nt, &flg);CHKERRQ(ierr);
1313     if (flg && nt > LANDAU_MAX_SPECIES) SETERRQ2(ctx->comm,PETSC_ERR_ARG_WRONG,"-thermal_temps ,t1,t2,.. number of species %D > MAX %D",nt,LANDAU_MAX_SPECIES);
1314   }
1315   nt = LANDAU_MAX_SPECIES;
1316   for (ii=1;ii<LANDAU_MAX_SPECIES;ii++) {
1317     ctx->thermal_temps[ii] = 1.;
1318     ctx->charges[ii] = 1;
1319     ctx->masses[ii] = 1;
1320     ctx->n[ii] = (ii==1) ? 1 : 0;
1321   }
1322   ierr = PetscOptionsRealArray("-dm_landau_thermal_temps", "Temperature of each species [e,i_0,i_1,...] in keV (must be set to set number of species)", "plexland.c", ctx->thermal_temps, &nt, &flg);CHKERRQ(ierr);
1323   if (flg) {
1324     PetscInfo1(dummy, "num_species set to number of thermal temps provided (%D)\n",nt);
1325     ctx->num_species = nt;
1326   } else SETERRQ(ctx->comm,PETSC_ERR_ARG_WRONG,"-dm_landau_thermal_temps ,t1,t2,.. must be provided to set the number of species");
1327   for (ii=0;ii<ctx->num_species;ii++) ctx->thermal_temps[ii] *= 1.1604525e7; /* convert to Kelvin */
1328   nm = LANDAU_MAX_SPECIES-1;
1329   ierr = PetscOptionsRealArray("-dm_landau_ion_masses", "Mass of each species in units of proton mass [i_0=2,i_1=40...]", "plexland.c", &ctx->masses[1], &nm, &flg);CHKERRQ(ierr);
1330   if (flg && nm != ctx->num_species-1) {
1331     SETERRQ2(ctx->comm,PETSC_ERR_ARG_WRONG,"num ion masses %D != num species %D",nm,ctx->num_species-1);
1332   }
1333   nm = LANDAU_MAX_SPECIES;
1334   ierr = PetscOptionsRealArray("-dm_landau_n", "Normalized (by -n_0) number density of each species", "plexland.c", ctx->n, &nm, &flg);CHKERRQ(ierr);
1335   if (flg && nm != ctx->num_species) SETERRQ2(ctx->comm,PETSC_ERR_ARG_WRONG,"wrong num n: %D != num species %D",nm,ctx->num_species);
1336   ctx->n_0 *= ctx->n[0]; /* normalized number density */
1337   for (ii=1;ii<ctx->num_species;ii++) ctx->n[ii] = ctx->n[ii]/ctx->n[0];
1338   ctx->n[0] = 1;
1339   for (ii=0;ii<LANDAU_MAX_SPECIES;ii++) ctx->masses[ii] *= 1.6720e-27; /* scale by proton mass kg */
1340   ctx->masses[0] = 9.10938356e-31; /* electron mass kg (should be about right already) */
1341   ctx->m_0 = ctx->masses[0]; /* arbitrary reference mass, electrons */
1342   ierr = PetscOptionsReal("-dm_landau_v_0","Velocity to normalize with in units of initial electrons thermal velocity (not recommended to change default)","plexland.c",ctx->v_0,&ctx->v_0, NULL);CHKERRQ(ierr);
1343   ctx->v_0 *= PetscSqrtReal(ctx->k*ctx->thermal_temps[0]/(ctx->masses[0])); /* electron mean velocity in 1D (need 3D form in computing T from FE integral) */
1344   nc = LANDAU_MAX_SPECIES-1;
1345   ierr = PetscOptionsRealArray("-dm_landau_ion_charges", "Charge of each species in units of proton charge [i_0=2,i_1=18,...]", "plexland.c", &ctx->charges[1], &nc, &flg);CHKERRQ(ierr);
1346   if (flg && nc != ctx->num_species-1) SETERRQ2(ctx->comm,PETSC_ERR_ARG_WRONG,"num charges %D != num species %D",nc,ctx->num_species-1);
1347   for (ii=0;ii<LANDAU_MAX_SPECIES;ii++) ctx->charges[ii] *= 1.6022e-19; /* electron/proton charge (MKS) */
1348   ctx->t_0 = 8*PETSC_PI*PetscSqr(ctx->epsilon0*ctx->m_0/PetscSqr(ctx->charges[0]))/ctx->lnLam/ctx->n_0*PetscPowReal(ctx->v_0,3); /* note, this t_0 makes nu[0,0]=1 */
1349   /* geometry */
1350   for (ii=0;ii<ctx->num_species;ii++) ctx->refineTol[ii]  = PETSC_MAX_REAL;
1351   for (ii=0;ii<ctx->num_species;ii++) ctx->coarsenTol[ii] = 0.;
1352   ii = LANDAU_MAX_SPECIES;
1353   ierr = PetscOptionsRealArray("-dm_landau_refine_tol","tolerance for refining cells in AMR","plexland.c",ctx->refineTol, &ii, &flg);CHKERRQ(ierr);
1354   if (flg && ii != ctx->num_species) ierr = PetscInfo2(dummy, "Phase: Warning, #refine_tol %D != num_species %D\n",ii,ctx->num_species);CHKERRQ(ierr);
1355   ii = LANDAU_MAX_SPECIES;
1356   ierr = PetscOptionsRealArray("-dm_landau_coarsen_tol","tolerance for coarsening cells in AMR","plexland.c",ctx->coarsenTol, &ii, &flg);CHKERRQ(ierr);
1357   if (flg && ii != ctx->num_species) ierr = PetscInfo2(dummy, "Phase: Warning, #coarsen_tol %D != num_species %D\n",ii,ctx->num_species);CHKERRQ(ierr);
1358   ierr = PetscOptionsReal("-dm_landau_domain_radius","Phase space size in units of electron thermal velocity","plexland.c",ctx->radius,&ctx->radius, &flg);CHKERRQ(ierr);
1359   if (flg && ctx->radius <= 0) { /* negative is ratio of c */
1360     if (ctx->radius == 0) ctx->radius = 0.75;
1361     else ctx->radius = -ctx->radius;
1362     ctx->radius = ctx->radius*299792458.0/ctx->v_0;
1363     ierr = PetscInfo1(dummy, "Change domain radius to %e\n",ctx->radius);CHKERRQ(ierr);
1364   }
1365   ierr = PetscOptionsReal("-dm_landau_i_radius","Ion thermal velocity, used for circular meshes","plexland.c",ctx->i_radius,&ctx->i_radius, &flg);CHKERRQ(ierr);
1366   if (flg && !sph_flg) ctx->sphere = PETSC_TRUE; /* you gave me an ion radius but did not set sphere, user error really */
1367   if (!flg) {
1368     ctx->i_radius = 1.5*PetscSqrtReal(8*ctx->k*ctx->thermal_temps[1]/ctx->masses[1]/PETSC_PI)/ctx->v_0; /* normalized radius with thermal velocity of first ion */
1369   }
1370   ierr = PetscOptionsReal("-dm_landau_e_radius","Electron thermal velocity, used for circular meshes","plexland.c",ctx->e_radius,&ctx->e_radius, &flg);CHKERRQ(ierr);
1371   if (flg && !sph_flg) ctx->sphere = PETSC_TRUE; /* you gave me an e radius but did not set sphere, user error really */
1372   if (!flg) {
1373     ctx->e_radius = 1.5*PetscSqrtReal(8*ctx->k*ctx->thermal_temps[0]/ctx->masses[0]/PETSC_PI)/ctx->v_0; /* normalized radius with thermal velocity of electrons */
1374   }
1375   if (ctx->sphere && (ctx->e_radius <= ctx->i_radius || ctx->radius <= ctx->e_radius)) SETERRQ3(ctx->comm,PETSC_ERR_ARG_WRONG,"bad radii: %g < %g < %g",ctx->i_radius,ctx->e_radius,ctx->radius);
1376   ierr = PetscOptionsInt("-dm_landau_sub_thread_block_size", "Number of threads in Kokkos integration point subblock", "plexland.c", ctx->subThreadBlockSize, &ctx->subThreadBlockSize, NULL);CHKERRQ(ierr);
1377   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1378   for (ii=ctx->num_species;ii<LANDAU_MAX_SPECIES;ii++) ctx->masses[ii] = ctx->thermal_temps[ii]  = ctx->charges[ii] = 0;
1379   if (ctx->verbose > 0) {
1380     ierr = PetscPrintf(ctx->comm, "masses:        e=%10.3e; ions in proton mass units:   %10.3e %10.3e ...\n",ctx->masses[0],ctx->masses[1]/1.6720e-27,ctx->num_species>2 ? ctx->masses[2]/1.6720e-27 : 0);CHKERRQ(ierr);
1381     ierr = PetscPrintf(ctx->comm, "charges:       e=%10.3e; charges in elementary units: %10.3e %10.3e\n", ctx->charges[0],-ctx->charges[1]/ctx->charges[0],ctx->num_species>2 ? -ctx->charges[2]/ctx->charges[0] : 0);CHKERRQ(ierr);
1382     ierr = PetscPrintf(ctx->comm, "thermal T (K): e=%10.3e i=%10.3e imp=%10.3e. v_0=%10.3e n_0=%10.3e t_0=%10.3e domain=%10.3e\n",ctx->thermal_temps[0],ctx->thermal_temps[1],ctx->num_species>2 ? ctx->thermal_temps[2] : 0,ctx->v_0,ctx->n_0,ctx->t_0,ctx->radius);CHKERRQ(ierr);
1383   }
1384   ierr = DMDestroy(&dummy);CHKERRQ(ierr);
1385   {
1386     PetscMPIInt    rank;
1387     ierr = MPI_Comm_rank(ctx->comm, &rank);CHKERRMPI(ierr);
1388     /* PetscLogStage  setup_stage; */
1389     ierr = PetscLogEventRegister("Landau Operator", DM_CLASSID, &ctx->events[11]);CHKERRQ(ierr); /* 11 */
1390     ierr = PetscLogEventRegister("Landau Jacobian", DM_CLASSID, &ctx->events[0]);CHKERRQ(ierr); /* 0 */
1391     ierr = PetscLogEventRegister("Landau Mass", DM_CLASSID, &ctx->events[9]);CHKERRQ(ierr); /* 9 */
1392     ierr = PetscLogEventRegister(" Preamble", DM_CLASSID, &ctx->events[10]);CHKERRQ(ierr); /* 10 */
1393     ierr = PetscLogEventRegister(" static IP Data", DM_CLASSID, &ctx->events[7]);CHKERRQ(ierr); /* 7 */
1394     ierr = PetscLogEventRegister(" dynamic IP-Jac", DM_CLASSID, &ctx->events[1]);CHKERRQ(ierr); /* 1 */
1395     ierr = PetscLogEventRegister(" Kernel-init", DM_CLASSID, &ctx->events[3]);CHKERRQ(ierr); /* 3 */
1396     ierr = PetscLogEventRegister(" Jac-f-df (GPU)", DM_CLASSID, &ctx->events[8]);CHKERRQ(ierr); /* 8 */
1397     ierr = PetscLogEventRegister(" Kernel (GPU)", DM_CLASSID, &ctx->events[4]);CHKERRQ(ierr); /* 4 */
1398     ierr = PetscLogEventRegister(" Copy to CPU", DM_CLASSID, &ctx->events[5]);CHKERRQ(ierr); /* 5 */
1399     ierr = PetscLogEventRegister(" Jac-assemble", DM_CLASSID, &ctx->events[6]);CHKERRQ(ierr); /* 6 */
1400     ierr = PetscLogEventRegister(" Jac asmbl setup", DM_CLASSID, &ctx->events[2]);CHKERRQ(ierr); /* 2 */
1401     ierr = PetscLogEventRegister(" Other", DM_CLASSID, &ctx->events[13]);CHKERRQ(ierr); /* 13 */
1402 
1403     if (rank) { /* turn off output stuff for duplicate runs - do we need to add the prefix to all this? */
1404       ierr = PetscOptionsClearValue(NULL,"-snes_converged_reason");CHKERRQ(ierr);
1405       ierr = PetscOptionsClearValue(NULL,"-ksp_converged_reason");CHKERRQ(ierr);
1406       ierr = PetscOptionsClearValue(NULL,"-snes_monitor");CHKERRQ(ierr);
1407       ierr = PetscOptionsClearValue(NULL,"-ksp_monitor");CHKERRQ(ierr);
1408       ierr = PetscOptionsClearValue(NULL,"-ts_monitor");CHKERRQ(ierr);
1409       ierr = PetscOptionsClearValue(NULL,"-ts_adapt_monitor");CHKERRQ(ierr);
1410       ierr = PetscOptionsClearValue(NULL,"-dm_landau_amr_dm_view");CHKERRQ(ierr);
1411       ierr = PetscOptionsClearValue(NULL,"-dm_landau_amr_vec_view");CHKERRQ(ierr);
1412       ierr = PetscOptionsClearValue(NULL,"-dm_landau_pre_dm_view");CHKERRQ(ierr);
1413       ierr = PetscOptionsClearValue(NULL,"-dm_landau_pre_vec_view");CHKERRQ(ierr);
1414       ierr = PetscOptionsClearValue(NULL,"-info");CHKERRQ(ierr);
1415     }
1416   }
1417   PetscFunctionReturn(0);
1418 }
1419 
1420 /*@C
1421  LandauCreateVelocitySpace - Create a DMPlex velocity space mesh
1422 
1423  Collective on comm
1424 
1425  Input Parameters:
1426  +   comm  - The MPI communicator
1427  .   dim - velocity space dimension (2 for axisymmetric, 3 for full 3X + 3V solver)
1428  -   prefix - prefix for options
1429 
1430  Output Parameter:
1431  .   dm  - The DM object representing the mesh
1432  +   X - A vector (user destroys)
1433  -   J - Optional matrix (object destroys)
1434 
1435  Level: beginner
1436 
1437  .keywords: mesh
1438  .seealso: DMPlexCreate(), LandauDestroyVelocitySpace()
1439  @*/
1440 PetscErrorCode LandauCreateVelocitySpace(MPI_Comm comm, PetscInt dim, const char prefix[], Vec *X, Mat *J, DM *dm)
1441 {
1442   PetscErrorCode ierr;
1443   LandauCtx      *ctx;
1444   PetscBool      prealloc_only,flg;
1445 
1446   PetscFunctionBegin;
1447   if (dim!=2 && dim!=3) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Only 2D and 3D supported");
1448   ierr = PetscNew(&ctx);CHKERRQ(ierr);
1449   ctx->comm = comm; /* used for diagnostics and global errors */
1450   /* process options */
1451   ierr = ProcessOptions(ctx,prefix);CHKERRQ(ierr);
1452   /* Create Mesh */
1453   ierr = LandauDMCreateVMesh(PETSC_COMM_SELF, dim, prefix, ctx, dm);CHKERRQ(ierr);
1454   prealloc_only = (*dm)->prealloc_only;
1455   ierr = DMViewFromOptions(*dm,NULL,"-dm_landau_pre_dm_view");CHKERRQ(ierr);
1456   ierr = DMSetApplicationContext(*dm, ctx);CHKERRQ(ierr);
1457   /* create FEM */
1458   ierr = SetupDS(*dm,dim,ctx);CHKERRQ(ierr);
1459   /* set initial state */
1460   ierr = DMCreateGlobalVector(*dm,X);CHKERRQ(ierr);
1461   ierr = PetscObjectSetName((PetscObject) *X, "u");CHKERRQ(ierr);
1462   /* initial static refinement, no solve */
1463   ierr = LandauSetInitialCondition(*dm, *X, ctx);CHKERRQ(ierr);
1464   ierr = VecViewFromOptions(*X, NULL, "-dm_landau_pre_vec_view");CHKERRQ(ierr);
1465   /* forest refinement */
1466   if (ctx->errorIndicator) {
1467     /* AMR */
1468     ierr = adapt(dm,ctx,X);CHKERRQ(ierr);
1469     if ((*dm)->prealloc_only != prealloc_only) SETERRQ(PetscObjectComm((PetscObject)dm),PETSC_ERR_SUP,"(*dm)->prealloc_only != prealloc_only");
1470     ierr = DMViewFromOptions(*dm,NULL,"-dm_landau_amr_dm_view");CHKERRQ(ierr);
1471     ierr = VecViewFromOptions(*X, NULL, "-dm_landau_amr_vec_view");CHKERRQ(ierr);
1472   }
1473   ierr = DMSetApplicationContext(*dm, ctx);CHKERRQ(ierr);
1474   ctx->dmv = *dm;
1475   if (ctx->dmv->prealloc_only != prealloc_only) SETERRQ(PetscObjectComm((PetscObject)dm),PETSC_ERR_SUP,"ctx->dmv->prealloc_only != prealloc_only");
1476   ierr = DMCreateMatrix(ctx->dmv, &ctx->J);CHKERRQ(ierr);
1477   ierr = MatSetOption(ctx->J, MAT_IGNORE_ZERO_ENTRIES, PETSC_TRUE);CHKERRQ(ierr);
1478   ierr = MatSetOption(ctx->J, MAT_STRUCTURALLY_SYMMETRIC, PETSC_TRUE);CHKERRQ(ierr);
1479   if (J) *J = ctx->J;
1480   /* check for types that we need */
1481 #if defined(PETSC_HAVE_KOKKOS)
1482   if (ctx->deviceType == LANDAU_CPU) {
1483     ierr = PetscObjectTypeCompareAny((PetscObject)ctx->J,&flg,MATSEQAIJKOKKOS,MATMPIAIJKOKKOS,MATAIJKOKKOS,"");CHKERRQ(ierr);
1484   }
1485 #elif defined(PETSC_HAVE_CUDA)
1486   if (ctx->deviceType == LANDAU_CPU) {
1487     ierr = PetscObjectTypeCompareAny((PetscObject)ctx->J,&flg,MATSEQAIJCUSPARSE,MATMPIAIJCUSPARSE,MATAIJCUSPARSE,"");CHKERRQ(ierr);
1488   }
1489 #endif
1490   if (ctx->gpu_assembly) { /* we need GPU object with GPU assembly */
1491     if (ctx->deviceType == LANDAU_CUDA) {
1492       ierr = PetscObjectTypeCompareAny((PetscObject)ctx->J,&flg,MATSEQAIJCUSPARSE,MATMPIAIJCUSPARSE,MATAIJCUSPARSE,"");CHKERRQ(ierr);
1493       if (!flg) SETERRQ(ctx->comm,PETSC_ERR_ARG_WRONG,"must use '-dm_mat_type aijcusparse -dm_vec_type cuda' for GPU assembly and Cuda");
1494     } else if (ctx->deviceType == LANDAU_KOKKOS) {
1495       ierr = PetscObjectTypeCompareAny((PetscObject)ctx->J,&flg,MATSEQAIJKOKKOS,MATMPIAIJKOKKOS,MATAIJKOKKOS,"");CHKERRQ(ierr);
1496 #if defined(PETSC_HAVE_KOKKOS_KERNELS)
1497       if (!flg) SETERRQ(ctx->comm,PETSC_ERR_ARG_WRONG,"must use '-dm_mat_type aijkokkos -dm_vec_type kokkos' for GPU assembly and Kokkos");
1498 #else
1499       if (!flg) SETERRQ(ctx->comm,PETSC_ERR_ARG_WRONG,"must configure with '--download-kokkos-kernels=1' for GPU assembly and Kokkos");
1500 #endif
1501     }
1502   }
1503   PetscFunctionReturn(0);
1504 }
1505 
1506 /*@
1507  LandauDestroyVelocitySpace - Destroy a DMPlex velocity space mesh
1508 
1509  Collective on dm
1510 
1511  Input/Output Parameters:
1512  .   dm - the dm to destroy
1513 
1514  Level: beginner
1515 
1516  .keywords: mesh
1517  .seealso: LandauCreateVelocitySpace()
1518  @*/
1519 PetscErrorCode LandauDestroyVelocitySpace(DM *dm)
1520 {
1521   PetscErrorCode ierr,ii;
1522   LandauCtx      *ctx;
1523   PetscContainer container = NULL;
1524   PetscFunctionBegin;
1525   ierr = DMGetApplicationContext(*dm, &ctx);CHKERRQ(ierr);
1526   ierr = PetscObjectQuery((PetscObject)ctx->J,"coloring", (PetscObject*)&container);CHKERRQ(ierr);
1527   if (container) {
1528     ierr = PetscContainerDestroy(&container);CHKERRQ(ierr);
1529   }
1530   ierr = MatDestroy(&ctx->M);CHKERRQ(ierr);
1531   ierr = MatDestroy(&ctx->J);CHKERRQ(ierr);
1532   for (ii=0;ii<ctx->num_species;ii++) {
1533     ierr = PetscFEDestroy(&ctx->fe[ii]);CHKERRQ(ierr);
1534   }
1535   if (ctx->deviceType == LANDAU_CUDA) {
1536 #if defined(PETSC_HAVE_CUDA)
1537     ierr = LandauCUDAStaticDataClear(ctx->SData_d);CHKERRQ(ierr);
1538 #else
1539     SETERRQ1(ctx->comm,PETSC_ERR_ARG_WRONG,"-landau_device_type %s not built","cuda");
1540 #endif
1541   } else if (ctx->deviceType == LANDAU_KOKKOS) {
1542 #if defined(PETSC_HAVE_KOKKOS)
1543     ierr = LandauKokkosStaticDataClear(ctx->SData_d);CHKERRQ(ierr);
1544 #else
1545     SETERRQ1(ctx->comm,PETSC_ERR_ARG_WRONG,"-landau_device_type %s not built","kokkos");
1546 #endif
1547   } else {
1548     if (ctx->SData_d) { /* in a CPU run */
1549       PetscReal *invJ = (PetscReal*)ctx->SData_d->invJ, *xx = (PetscReal*)ctx->SData_d->x, *yy = (PetscReal*)ctx->SData_d->y, *zz = (PetscReal*)ctx->SData_d->z, *ww = (PetscReal*)ctx->SData_d->w, *mass_w = (PetscReal*)ctx->SData_d->mass_w;
1550       ierr = PetscFree5(mass_w,ww,xx,yy,invJ);CHKERRQ(ierr);
1551       if (zz) {
1552         ierr = PetscFree(zz);CHKERRQ(ierr);
1553       }
1554     }
1555   }
1556   ierr = PetscFree(ctx->SData_d);CHKERRQ(ierr);
1557   if (ctx->times[0] > 0) {
1558     ierr = PetscPrintf(ctx->comm, "Landau Operator       %d 1.0 %10.3e ....\n",10000,ctx->times[0]);CHKERRQ(ierr);
1559   }
1560   if (ctx->plex != NULL) {
1561     ierr = DMDestroy(&ctx->plex);CHKERRQ(ierr);
1562   }
1563   PetscFree(ctx);
1564   ierr = DMDestroy(dm);CHKERRQ(ierr);
1565   PetscFunctionReturn(0);
1566 }
1567 
1568 /* < v, ru > */
1569 static void f0_s_den(PetscInt dim, PetscInt Nf, PetscInt NfAux,
1570                      const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
1571                      const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
1572                      PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
1573 {
1574   PetscInt ii = (PetscInt)PetscRealPart(constants[0]);
1575   f0[0] = u[ii];
1576 }
1577 
1578 /* < v, ru > */
1579 static void f0_s_mom(PetscInt dim, PetscInt Nf, PetscInt NfAux,
1580                      const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
1581                      const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
1582                      PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
1583 {
1584   PetscInt ii = (PetscInt)PetscRealPart(constants[0]), jj = (PetscInt)PetscRealPart(constants[1]);
1585   f0[0] = x[jj]*u[ii]; /* x momentum */
1586 }
1587 
1588 static void f0_s_v2(PetscInt dim, PetscInt Nf, PetscInt NfAux,
1589                     const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
1590                     const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
1591                     PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
1592 {
1593   PetscInt i, ii = (PetscInt)PetscRealPart(constants[0]);
1594   double tmp1 = 0.;
1595   for (i = 0; i < dim; ++i) tmp1 += x[i]*x[i];
1596   f0[0] = tmp1*u[ii];
1597 }
1598 
1599 /* < v, ru > */
1600 static void f0_s_rden(PetscInt dim, PetscInt Nf, PetscInt NfAux,
1601                       const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
1602                       const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
1603                       PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
1604 {
1605   PetscInt ii = (PetscInt)PetscRealPart(constants[0]);
1606   f0[0] = 2.*PETSC_PI*x[0]*u[ii];
1607 }
1608 
1609 /* < v, ru > */
1610 static void f0_s_rmom(PetscInt dim, PetscInt Nf, PetscInt NfAux,
1611                       const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
1612                       const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
1613                       PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
1614 {
1615   PetscInt ii = (PetscInt)PetscRealPart(constants[0]);
1616   f0[0] = 2.*PETSC_PI*x[0]*x[1]*u[ii];
1617 }
1618 
1619 static void f0_s_rv2(PetscInt dim, PetscInt Nf, PetscInt NfAux,
1620                      const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
1621                      const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
1622                      PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
1623 {
1624   PetscInt ii = (PetscInt)PetscRealPart(constants[0]);
1625   f0[0] =  2.*PETSC_PI*x[0]*(x[0]*x[0] + x[1]*x[1])*u[ii];
1626 }
1627 
1628 /*@
1629  LandauPrintNorms - collects moments and prints them
1630 
1631  Collective on dm
1632 
1633  Input Parameters:
1634  +   X  - the state
1635  -   stepi - current step to print
1636 
1637  Level: beginner
1638 
1639  .keywords: mesh
1640  .seealso: LandauCreateVelocitySpace()
1641  @*/
1642 PetscErrorCode LandauPrintNorms(Vec X, PetscInt stepi)
1643 {
1644   PetscErrorCode ierr;
1645   LandauCtx      *ctx;
1646   PetscDS        prob;
1647   DM             dm;
1648   PetscInt       cStart, cEnd, dim, ii;
1649   PetscScalar    xmomentumtot=0, ymomentumtot=0, zmomentumtot=0, energytot=0, densitytot=0, tt[LANDAU_MAX_SPECIES];
1650   PetscScalar    xmomentum[LANDAU_MAX_SPECIES],  ymomentum[LANDAU_MAX_SPECIES],  zmomentum[LANDAU_MAX_SPECIES], energy[LANDAU_MAX_SPECIES], density[LANDAU_MAX_SPECIES];
1651 
1652   PetscFunctionBegin;
1653   ierr = VecGetDM(X, &dm);CHKERRQ(ierr);
1654   if (!dm) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "no DM");
1655   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
1656   ierr = DMGetApplicationContext(dm, &ctx);CHKERRQ(ierr);
1657   if (!ctx) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "no context");
1658   if (!ctx->plex) {
1659     ierr = DMConvert(ctx->dmv, DMPLEX, &ctx->plex);CHKERRQ(ierr);
1660   }
1661   ierr = DMCreateDS(ctx->plex);CHKERRQ(ierr);
1662   ierr = DMGetDS(ctx->plex, &prob);CHKERRQ(ierr);
1663   /* print momentum and energy */
1664   for (ii=0;ii<ctx->num_species;ii++) {
1665     PetscScalar user[2] = { (PetscScalar)ii, (PetscScalar)ctx->charges[ii]};
1666     ierr = PetscDSSetConstants(prob, 2, user);CHKERRQ(ierr);
1667     if (dim==2) { /* 2/3X + 3V (cylindrical coordinates) */
1668       ierr = PetscDSSetObjective(prob, 0, &f0_s_rden);CHKERRQ(ierr);
1669       ierr = DMPlexComputeIntegralFEM(ctx->plex,X,tt,ctx);CHKERRQ(ierr);
1670       density[ii] = tt[0]*ctx->n_0*ctx->charges[ii];
1671       ierr = PetscDSSetObjective(prob, 0, &f0_s_rmom);CHKERRQ(ierr);
1672       ierr = DMPlexComputeIntegralFEM(ctx->plex,X,tt,ctx);CHKERRQ(ierr);
1673       zmomentum[ii] = tt[0]*ctx->n_0*ctx->v_0*ctx->masses[ii];
1674       ierr = PetscDSSetObjective(prob, 0, &f0_s_rv2);CHKERRQ(ierr);
1675       ierr = DMPlexComputeIntegralFEM(ctx->plex,X,tt,ctx);CHKERRQ(ierr);
1676       energy[ii] = tt[0]*0.5*ctx->n_0*ctx->v_0*ctx->v_0*ctx->masses[ii];
1677       zmomentumtot += zmomentum[ii];
1678       energytot  += energy[ii];
1679       densitytot += density[ii];
1680       ierr = PetscPrintf(ctx->comm, "%3D) species-%D: charge density= %20.13e z-momentum= %20.13e energy= %20.13e",stepi,ii,PetscRealPart(density[ii]),PetscRealPart(zmomentum[ii]),PetscRealPart(energy[ii]));CHKERRQ(ierr);
1681     } else { /* 2/3X + 3V */
1682       ierr = PetscDSSetObjective(prob, 0, &f0_s_den);CHKERRQ(ierr);
1683       ierr = DMPlexComputeIntegralFEM(ctx->plex,X,tt,ctx);CHKERRQ(ierr);
1684       density[ii] = tt[0]*ctx->n_0*ctx->charges[ii];
1685       ierr = PetscDSSetObjective(prob, 0, &f0_s_mom);CHKERRQ(ierr);
1686       user[1] = 0;
1687       ierr = DMPlexComputeIntegralFEM(ctx->plex,X,tt,ctx);CHKERRQ(ierr);
1688       xmomentum[ii]  = tt[0]*ctx->n_0*ctx->v_0*ctx->masses[ii];
1689       user[1] = 1;
1690       ierr = DMPlexComputeIntegralFEM(ctx->plex,X,tt,ctx);CHKERRQ(ierr);
1691       ymomentum[ii] = tt[0]*ctx->n_0*ctx->v_0*ctx->masses[ii];
1692       user[1] = 2;
1693       ierr = DMPlexComputeIntegralFEM(ctx->plex,X,tt,ctx);CHKERRQ(ierr);
1694       zmomentum[ii] = tt[0]*ctx->n_0*ctx->v_0*ctx->masses[ii];
1695       ierr = PetscDSSetObjective(prob, 0, &f0_s_v2);CHKERRQ(ierr);
1696       ierr = DMPlexComputeIntegralFEM(ctx->plex,X,tt,ctx);CHKERRQ(ierr);
1697       energy[ii]    = 0.5*tt[0]*ctx->n_0*ctx->v_0*ctx->v_0*ctx->masses[ii];
1698       ierr = PetscPrintf(ctx->comm, "%3D) species %D: density=%20.13e, x-momentum=%20.13e, y-momentum=%20.13e, z-momentum=%20.13e, energy=%21.13e",
1699                          stepi,ii,PetscRealPart(density[ii]),PetscRealPart(xmomentum[ii]),PetscRealPart(ymomentum[ii]),PetscRealPart(zmomentum[ii]),PetscRealPart(energy[ii]));CHKERRQ(ierr);
1700       xmomentumtot += xmomentum[ii];
1701       ymomentumtot += ymomentum[ii];
1702       zmomentumtot += zmomentum[ii];
1703       energytot  += energy[ii];
1704       densitytot += density[ii];
1705     }
1706     if (ctx->num_species>1) PetscPrintf(ctx->comm, "\n");
1707   }
1708   /* totals */
1709   ierr = DMPlexGetHeightStratum(ctx->plex,0,&cStart,&cEnd);CHKERRQ(ierr);
1710   if (ctx->num_species>1) {
1711     if (dim==2) {
1712       ierr = PetscPrintf(ctx->comm, "\t%3D) Total: charge density=%21.13e, momentum=%21.13e, energy=%21.13e (m_i[0]/m_e = %g, %D cells)",
1713                          stepi,(double)PetscRealPart(densitytot),(double)PetscRealPart(zmomentumtot),(double)PetscRealPart(energytot),(double)(ctx->masses[1]/ctx->masses[0]),cEnd-cStart);CHKERRQ(ierr);
1714     } else {
1715       ierr = PetscPrintf(ctx->comm, "\t%3D) Total: charge density=%21.13e, x-momentum=%21.13e, y-momentum=%21.13e, z-momentum=%21.13e, energy=%21.13e (m_i[0]/m_e = %g, %D cells)",
1716                          stepi,(double)PetscRealPart(densitytot),(double)PetscRealPart(xmomentumtot),(double)PetscRealPart(ymomentumtot),(double)PetscRealPart(zmomentumtot),(double)PetscRealPart(energytot),(double)(ctx->masses[1]/ctx->masses[0]),cEnd-cStart);CHKERRQ(ierr);
1717     }
1718   } else {
1719     ierr = PetscPrintf(ctx->comm, " -- %D cells",cEnd-cStart);CHKERRQ(ierr);
1720   }
1721   if (ctx->verbose > 1) {ierr = PetscPrintf(ctx->comm,", %D sub (vector) threads\n",ctx->subThreadBlockSize);CHKERRQ(ierr);}
1722   else {ierr = PetscPrintf(ctx->comm,"\n");CHKERRQ(ierr);}
1723   PetscFunctionReturn(0);
1724 }
1725 
1726 static PetscErrorCode destroy_coloring (void *is)
1727 {
1728   ISColoring tmp = (ISColoring)is;
1729   return ISColoringDestroy(&tmp);
1730 }
1731 
1732 /*@
1733  LandauCreateColoring - create a coloring and add to matrix (Landau context used just for 'print' flag, should be in DMPlex)
1734 
1735  Collective on JacP
1736 
1737  Input Parameters:
1738  +   JacP  - matrix to add coloring to
1739  -   plex - The DM
1740 
1741  Output Parameter:
1742  .   container  - Container with coloring
1743 
1744  Level: beginner
1745 
1746  .keywords: mesh
1747  .seealso: LandauCreateVelocitySpace()
1748  @*/
1749 PetscErrorCode LandauCreateColoring(Mat JacP, DM plex, PetscContainer *container)
1750 {
1751   PetscErrorCode  ierr;
1752   PetscInt        dim,cell,i,ej,nc,Nv,totDim,numGCells,cStart,cEnd;
1753   ISColoring      iscoloring = NULL;
1754   Mat             G,Q;
1755   PetscScalar     ones[128];
1756   MatColoring     mc;
1757   IS             *is;
1758   PetscInt        csize,colour,j,k;
1759   const PetscInt *indices;
1760   PetscInt       numComp[1];
1761   PetscInt       numDof[4];
1762   PetscFE        fe;
1763   DM             colordm;
1764   PetscSection   csection, section, globalSection;
1765   PetscDS        prob;
1766   LandauCtx      *ctx;
1767 
1768   PetscFunctionBegin;
1769   ierr = DMGetApplicationContext(plex, &ctx);CHKERRQ(ierr);
1770   ierr = DMGetLocalSection(plex, &section);CHKERRQ(ierr);
1771   ierr = DMGetGlobalSection(plex, &globalSection);CHKERRQ(ierr);
1772   ierr = DMGetDimension(plex, &dim);CHKERRQ(ierr);
1773   ierr = DMGetDS(plex, &prob);CHKERRQ(ierr);
1774   ierr = PetscDSGetTotalDimension(prob, &totDim);CHKERRQ(ierr);
1775   ierr = DMPlexGetHeightStratum(plex,0,&cStart,&cEnd);CHKERRQ(ierr);
1776   numGCells = cEnd - cStart;
1777   /* create cell centered DM */
1778   ierr = DMClone(plex, &colordm);CHKERRQ(ierr);
1779   ierr = PetscFECreateDefault(PetscObjectComm((PetscObject) plex), dim, 1, PETSC_FALSE, "color_", PETSC_DECIDE, &fe);CHKERRQ(ierr);
1780   ierr = PetscObjectSetName((PetscObject) fe, "color");CHKERRQ(ierr);
1781   ierr = DMSetField(colordm, 0, NULL, (PetscObject)fe);CHKERRQ(ierr);
1782   ierr = PetscFEDestroy(&fe);CHKERRQ(ierr);
1783   for (i = 0; i < (dim+1); ++i) numDof[i] = 0;
1784   numDof[dim] = 1;
1785   numComp[0] = 1;
1786   ierr = DMPlexCreateSection(colordm, NULL, numComp, numDof, 0, NULL, NULL, NULL, NULL, &csection);CHKERRQ(ierr);
1787   ierr = PetscSectionSetFieldName(csection, 0, "color");CHKERRQ(ierr);
1788   ierr = DMSetLocalSection(colordm, csection);CHKERRQ(ierr);
1789   ierr = DMViewFromOptions(colordm,NULL,"-color_dm_view");CHKERRQ(ierr);
1790   /* get vertex to element map Q and colroing graph G */
1791   ierr = MatGetSize(JacP,NULL,&Nv);CHKERRQ(ierr);
1792   ierr = MatCreateAIJ(PETSC_COMM_SELF,PETSC_DECIDE,PETSC_DECIDE,numGCells,Nv,totDim,NULL,0,NULL,&Q);CHKERRQ(ierr);
1793   for (i=0;i<128;i++) ones[i] = 1.0;
1794   for (cell = cStart, ej = 0 ; cell < cEnd; ++cell, ++ej) {
1795     PetscInt numindices,*indices;
1796     ierr = DMPlexGetClosureIndices(plex, section, globalSection, cell, PETSC_TRUE, &numindices, &indices, NULL, NULL);CHKERRQ(ierr);
1797     if (numindices>128) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "too many indices. %D > %D",numindices,128);
1798     ierr = MatSetValues(Q,1,&ej,numindices,indices,ones,ADD_VALUES);CHKERRQ(ierr);
1799     ierr = DMPlexRestoreClosureIndices(plex, section, globalSection, cell, PETSC_TRUE, &numindices, &indices, NULL, NULL);CHKERRQ(ierr);
1800   }
1801   ierr = MatAssemblyBegin(Q, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1802   ierr = MatAssemblyEnd(Q, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1803   ierr = MatMatTransposeMult(Q,Q,MAT_INITIAL_MATRIX,4.0,&G);CHKERRQ(ierr);
1804   ierr = PetscObjectSetName((PetscObject) Q, "Q");CHKERRQ(ierr);
1805   ierr = PetscObjectSetName((PetscObject) G, "coloring graph");CHKERRQ(ierr);
1806   ierr = MatViewFromOptions(G,NULL,"-coloring_mat_view");CHKERRQ(ierr);
1807   ierr = MatViewFromOptions(Q,NULL,"-coloring_mat_view");CHKERRQ(ierr);
1808   ierr = MatDestroy(&Q);CHKERRQ(ierr);
1809   /* coloring */
1810   ierr = MatColoringCreate(G,&mc);CHKERRQ(ierr);
1811   ierr = MatColoringSetDistance(mc,1);CHKERRQ(ierr);
1812   ierr = MatColoringSetType(mc,MATCOLORINGJP);CHKERRQ(ierr);
1813   ierr = MatColoringSetFromOptions(mc);CHKERRQ(ierr);
1814   ierr = MatColoringApply(mc,&iscoloring);CHKERRQ(ierr);
1815   ierr = MatColoringDestroy(&mc);CHKERRQ(ierr);
1816   /* view */
1817   ierr = ISColoringViewFromOptions(iscoloring,NULL,"-coloring_is_view");CHKERRQ(ierr);
1818   ierr = ISColoringGetIS(iscoloring,PETSC_USE_POINTER,&nc,&is);CHKERRQ(ierr);
1819   if (ctx && ctx->verbose > 2) {
1820     PetscViewer    viewer;
1821     Vec            color_vec, eidx_vec;
1822     ierr = DMGetGlobalVector(colordm, &color_vec);CHKERRQ(ierr);
1823     ierr = DMGetGlobalVector(colordm, &eidx_vec);CHKERRQ(ierr);
1824     for (colour=0; colour<nc; colour++) {
1825       ierr = ISGetLocalSize(is[colour],&csize);CHKERRQ(ierr);
1826       ierr = ISGetIndices(is[colour],&indices);CHKERRQ(ierr);
1827       for (j=0; j<csize; j++) {
1828         PetscScalar v = (PetscScalar)colour;
1829         k = indices[j];
1830         ierr = VecSetValues(color_vec,1,&k,&v,INSERT_VALUES);
1831         v = (PetscScalar)k;
1832         ierr = VecSetValues(eidx_vec,1,&k,&v,INSERT_VALUES);
1833       }
1834       ierr = ISRestoreIndices(is[colour],&indices);CHKERRQ(ierr);
1835     }
1836     /* view */
1837     ierr = PetscViewerVTKOpen(ctx->comm, "color.vtu", FILE_MODE_WRITE, &viewer);CHKERRQ(ierr);
1838     ierr = PetscObjectSetName((PetscObject) color_vec, "color");CHKERRQ(ierr);
1839     ierr = VecView(color_vec, viewer);CHKERRQ(ierr);
1840     ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
1841     ierr = PetscViewerVTKOpen(ctx->comm, "eidx.vtu", FILE_MODE_WRITE, &viewer);CHKERRQ(ierr);
1842     ierr = PetscObjectSetName((PetscObject) eidx_vec, "element-idx");CHKERRQ(ierr);
1843     ierr = VecView(eidx_vec, viewer);CHKERRQ(ierr);
1844     ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
1845     ierr = DMRestoreGlobalVector(colordm, &color_vec);CHKERRQ(ierr);
1846     ierr = DMRestoreGlobalVector(colordm, &eidx_vec);CHKERRQ(ierr);
1847   }
1848   ierr = PetscSectionDestroy(&csection);CHKERRQ(ierr);
1849   ierr = DMDestroy(&colordm);CHKERRQ(ierr);
1850   ierr = ISColoringRestoreIS(iscoloring,PETSC_USE_POINTER,&is);CHKERRQ(ierr);
1851   ierr = MatDestroy(&G);CHKERRQ(ierr);
1852   /* stash coloring */
1853   ierr = PetscContainerCreate(PETSC_COMM_SELF, container);CHKERRQ(ierr);
1854   ierr = PetscContainerSetPointer(*container,(void*)iscoloring);CHKERRQ(ierr);
1855   ierr = PetscContainerSetUserDestroy(*container, destroy_coloring);CHKERRQ(ierr);
1856   ierr = PetscObjectCompose((PetscObject)JacP,"coloring",(PetscObject)*container);CHKERRQ(ierr);
1857   if (ctx && ctx->verbose > 0) {
1858     ierr = PetscPrintf(ctx->comm, "Made coloring with %D colors\n", nc);CHKERRQ(ierr);
1859   }
1860   PetscFunctionReturn(0);
1861 }
1862 
1863 PetscErrorCode LandauAssembleOpenMP(PetscInt cStart, PetscInt cEnd, PetscInt totDim, DM plex, PetscSection section, PetscSection globalSection, Mat JacP, PetscScalar elemMats[], PetscContainer container)
1864 {
1865   PetscErrorCode  ierr;
1866   IS             *is;
1867   PetscInt        nc,colour,j;
1868   const PetscInt *clr_idxs;
1869   ISColoring      iscoloring;
1870   PetscFunctionBegin;
1871   ierr = PetscContainerGetPointer(container,(void**)&iscoloring);CHKERRQ(ierr);
1872   ierr = ISColoringGetIS(iscoloring,PETSC_USE_POINTER,&nc,&is);CHKERRQ(ierr);
1873   for (colour=0; colour<nc; colour++) {
1874     PetscInt    *idx_arr[1024]; /* need to make dynamic for general use */
1875     PetscScalar *new_el_mats[1024];
1876     PetscInt     idx_size[1024],csize;
1877     ierr = ISGetLocalSize(is[colour],&csize);CHKERRQ(ierr);
1878     if (csize>1024) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "too many elements in color. %D > %D",csize,1024);
1879     ierr = ISGetIndices(is[colour],&clr_idxs);CHKERRQ(ierr);
1880     /* get indices and mats */
1881     for (j=0; j<csize; j++) {
1882       PetscInt    cell = cStart + clr_idxs[j];
1883       PetscInt    numindices,*indices;
1884       PetscScalar *elMat = &elemMats[clr_idxs[j]*totDim*totDim];
1885       PetscScalar *valuesOrig = elMat;
1886       ierr = DMPlexGetClosureIndices(plex, section, globalSection, cell, PETSC_TRUE, &numindices, &indices, NULL, (PetscScalar **) &elMat);CHKERRQ(ierr);
1887       idx_size[j] = numindices;
1888       ierr = PetscMalloc2(numindices,&idx_arr[j],numindices*numindices,&new_el_mats[j]);CHKERRQ(ierr);
1889       ierr = PetscMemcpy(idx_arr[j],indices,numindices*sizeof(PetscInt));CHKERRQ(ierr);
1890       ierr = PetscMemcpy(new_el_mats[j],elMat,numindices*numindices*sizeof(PetscScalar));CHKERRQ(ierr);
1891       ierr = DMPlexRestoreClosureIndices(plex, section, globalSection, cell, PETSC_TRUE, &numindices, &indices, NULL, (PetscScalar **) &elMat);CHKERRQ(ierr);
1892       if (elMat != valuesOrig) {ierr = DMRestoreWorkArray(plex, numindices*numindices, MPIU_SCALAR, &elMat);}
1893     }
1894     /* assemble matrix */
1895     for (j=0; j<csize; j++) {
1896       PetscInt    numindices = idx_size[j], *indices = idx_arr[j];
1897       PetscScalar *elMat = new_el_mats[j];
1898       MatSetValues(JacP,numindices,indices,numindices,indices,elMat,ADD_VALUES);
1899     }
1900     /* free */
1901     ierr = ISRestoreIndices(is[colour],&clr_idxs);CHKERRQ(ierr);
1902     for (j=0; j<csize; j++) {
1903       ierr = PetscFree2(idx_arr[j],new_el_mats[j]);CHKERRQ(ierr);
1904     }
1905   }
1906   ierr = ISColoringRestoreIS(iscoloring,PETSC_USE_POINTER,&is);CHKERRQ(ierr);
1907   PetscFunctionReturn(0);
1908 }
1909 
1910 /* < v, u > */
1911 static void g0_1(PetscInt dim, PetscInt Nf, PetscInt NfAux,
1912                  const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
1913                  const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
1914                  PetscReal t, PetscReal u_tShift, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar g0[])
1915 {
1916   g0[0] = 1.;
1917 }
1918 
1919 /* < v, u > */
1920 static void g0_r(PetscInt dim, PetscInt Nf, PetscInt NfAux,
1921                  const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
1922                  const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
1923                  PetscReal t, PetscReal u_tShift, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar g0[])
1924 {
1925   g0[0] = 2.*PETSC_PI*x[0];
1926 }
1927 
1928 /*@
1929  LandauCreateMassMatrix - Create mass matrix for Landau
1930 
1931  Collective on dm
1932 
1933  Input Parameters:
1934  . dm     - the DM object
1935 
1936  Output Parameters:
1937  . Amat - The mass matrix (optional), mass matrix is added to the DM context
1938 
1939  Level: beginner
1940 
1941  .keywords: mesh
1942  .seealso: LandauCreateVelocitySpace()
1943  @*/
1944 PetscErrorCode LandauCreateMassMatrix(DM dm, Mat *Amat)
1945 {
1946   DM             massDM;
1947   PetscDS        prob;
1948   PetscInt       ii,dim,N1=1,N2;
1949   PetscErrorCode ierr;
1950   LandauCtx      *ctx;
1951   Mat            M;
1952 
1953   PetscFunctionBegin;
1954   PetscValidHeaderSpecific(dm,DM_CLASSID,1);
1955   if (Amat) PetscValidPointer(Amat,2);
1956   ierr = DMGetApplicationContext(dm, &ctx);CHKERRQ(ierr);
1957   if (!ctx) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "no context");
1958   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
1959   ierr = DMClone(dm, &massDM);CHKERRQ(ierr);
1960   ierr = DMCopyFields(dm, massDM);CHKERRQ(ierr);
1961   ierr = DMCreateDS(massDM);CHKERRQ(ierr);
1962   ierr = DMGetDS(massDM, &prob);CHKERRQ(ierr);
1963   for (ii=0;ii<ctx->num_species;ii++) {
1964     if (dim==3) {ierr = PetscDSSetJacobian(prob, ii, ii, g0_1, NULL, NULL, NULL);CHKERRQ(ierr);}
1965     else        {ierr = PetscDSSetJacobian(prob, ii, ii, g0_r, NULL, NULL, NULL);CHKERRQ(ierr);}
1966   }
1967   ierr = DMViewFromOptions(massDM,NULL,"-dm_landau_mass_dm_view");CHKERRQ(ierr);
1968   ierr = DMCreateMatrix(massDM, &M);CHKERRQ(ierr);
1969   ierr = MatSetOption(M, MAT_IGNORE_ZERO_ENTRIES, PETSC_TRUE);CHKERRQ(ierr);
1970   {
1971     Vec locX;
1972     DM  plex;
1973     ierr = DMConvert(massDM, DMPLEX, &plex);CHKERRQ(ierr);
1974     ierr = DMGetLocalVector(massDM, &locX);CHKERRQ(ierr);
1975     /* Mass matrix is independent of the input, so no need to fill locX */
1976     if (plex->prealloc_only != dm->prealloc_only) SETERRQ2(PetscObjectComm((PetscObject) dm), PETSC_ERR_PLIB, "plex->prealloc_only = massDM->prealloc_only %D, =%D",plex->prealloc_only,massDM->prealloc_only);
1977     ierr = DMPlexSNESComputeJacobianFEM(plex, locX, M, M, ctx);CHKERRQ(ierr);
1978     ierr = DMRestoreLocalVector(massDM, &locX);CHKERRQ(ierr);
1979     ierr = DMDestroy(&plex);CHKERRQ(ierr);
1980   }
1981   ierr = DMDestroy(&massDM);CHKERRQ(ierr);
1982   ierr = MatGetSize(ctx->J, &N1, NULL);CHKERRQ(ierr);
1983   ierr = MatGetSize(M, &N2, NULL);CHKERRQ(ierr);
1984   if (N1 != N2) SETERRQ2(PetscObjectComm((PetscObject) dm), PETSC_ERR_PLIB, "Incorrect matrix sizes: |Jacobian| = %D, |Mass|=%D",N1,N2);
1985   ierr = PetscObjectSetName((PetscObject)M, "mass");CHKERRQ(ierr);
1986   ierr = MatViewFromOptions(M,NULL,"-dm_landau_mass_mat_view");CHKERRQ(ierr);
1987   ctx->M = M; /* this could be a noop, a = a */
1988   if (Amat) *Amat = M;
1989   PetscFunctionReturn(0);
1990 }
1991 
1992 /*@
1993  LandauIFunction - TS residual calculation
1994 
1995  Collective on ts
1996 
1997  Input Parameters:
1998  +   TS  - The time stepping context
1999  .   time_dummy - current time (not used)
2000  -   X - Current state
2001  +   X_t - Time derivative of current state
2002  .   actx - Landau context
2003 
2004  Output Parameter:
2005  .   F  - The residual
2006 
2007  Level: beginner
2008 
2009  .keywords: mesh
2010  .seealso: LandauCreateVelocitySpace(), LandauIJacobian()
2011  @*/
2012 PetscErrorCode LandauIFunction(TS ts, PetscReal time_dummy, Vec X, Vec X_t, Vec F, void *actx)
2013 {
2014   PetscErrorCode ierr;
2015   LandauCtx      *ctx=(LandauCtx*)actx;
2016   PetscInt       dim;
2017   DM             dm;
2018 #if defined(PETSC_HAVE_THREADSAFETY)
2019   double         starttime, endtime;
2020 #endif
2021 
2022   PetscFunctionBegin;
2023   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2024   ierr = DMGetApplicationContext(dm, &ctx);CHKERRQ(ierr);
2025   if (!ctx) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "no context");
2026   //ierr = MPI_Barrier(MPI_COMM_WORLD);CHKERRMPI(ierr);
2027   ierr = PetscLogEventBegin(ctx->events[11],0,0,0,0);CHKERRQ(ierr);
2028   ierr = PetscLogEventBegin(ctx->events[0],0,0,0,0);CHKERRQ(ierr);
2029 #if defined(PETSC_HAVE_THREADSAFETY)
2030   starttime = MPI_Wtime();
2031 #endif
2032   ierr = DMGetDimension(ctx->dmv, &dim);CHKERRQ(ierr);
2033   if (!ctx->aux_bool) {
2034     ierr = PetscInfo3(ts, "Create Landau Jacobian t=%g X=%p %s\n",time_dummy,X_t,ctx->aux_bool ? " -- seems to be in line search" : "");CHKERRQ(ierr);
2035     ierr = LandauFormJacobian_Internal(X,ctx->J,dim,0.0,(void*)ctx);CHKERRQ(ierr);
2036     ctx->aux_bool = PETSC_TRUE;
2037   } else {
2038     ierr = PetscInfo(ts, "Skip forming Jacobian, has not changed (should check norm)\n");CHKERRQ(ierr);
2039   }
2040   ierr = MatViewFromOptions(ctx->J,NULL,"-landau_jacobian_mat_view");CHKERRQ(ierr);
2041   /* mat vec for op */
2042   ierr = MatMult(ctx->J,X,F);CHKERRQ(ierr);CHKERRQ(ierr); /* C*f */
2043   /* add time term */
2044   if (X_t) {
2045     ierr = MatMultAdd(ctx->M,X_t,F,F);CHKERRQ(ierr);
2046   }
2047 #if defined(PETSC_HAVE_THREADSAFETY)
2048   endtime = MPI_Wtime();
2049   ctx->times[0] += (endtime - starttime);
2050 #endif
2051   ierr = PetscLogEventEnd(ctx->events[0],0,0,0,0);CHKERRQ(ierr);
2052   ierr = PetscLogEventEnd(ctx->events[11],0,0,0,0);CHKERRQ(ierr);
2053   PetscFunctionReturn(0);
2054 }
2055 static PetscErrorCode MatrixNfDestroy(void *ptr)
2056 {
2057   PetscInt *nf = (PetscInt *)ptr;
2058   PetscErrorCode  ierr;
2059   PetscFunctionBegin;
2060   ierr = PetscFree(nf);CHKERRQ(ierr);
2061   PetscFunctionReturn(0);
2062 }
2063 /*@
2064  LandauIJacobian - TS Jacobian construction
2065 
2066  Collective on ts
2067 
2068  Input Parameters:
2069  +   TS  - The time stepping context
2070  .   time_dummy - current time (not used)
2071  -   X - Current state
2072  +   U_tdummy - Time derivative of current state (not used)
2073  .   shift - shift for du/dt term
2074  -   actx - Landau context
2075 
2076  Output Parameter:
2077  .   Amat  - Jacobian
2078  +   Pmat  - same as Amat
2079 
2080  Level: beginner
2081 
2082  .keywords: mesh
2083  .seealso: LandauCreateVelocitySpace(), LandauIFunction()
2084  @*/
2085 PetscErrorCode LandauIJacobian(TS ts, PetscReal time_dummy, Vec X, Vec U_tdummy, PetscReal shift, Mat Amat, Mat Pmat, void *actx)
2086 {
2087   PetscErrorCode ierr;
2088   LandauCtx      *ctx=(LandauCtx*)actx;
2089   PetscInt       dim;
2090   DM             dm;
2091   PetscContainer container;
2092 #if defined(PETSC_HAVE_THREADSAFETY)
2093   double         starttime, endtime;
2094 #endif
2095 
2096   PetscFunctionBegin;
2097   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2098   ierr = DMGetApplicationContext(dm, &ctx);CHKERRQ(ierr);
2099   if (!ctx) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "no context");
2100   if (Amat!=Pmat || Amat!=ctx->J) SETERRQ(ctx->comm, PETSC_ERR_PLIB, "Amat!=Pmat || Amat!=ctx->J");
2101   ierr = DMGetDimension(ctx->dmv, &dim);CHKERRQ(ierr);
2102   /* get collision Jacobian into A */
2103   ierr = PetscLogEventBegin(ctx->events[11],0,0,0,0);CHKERRQ(ierr);
2104   ierr = PetscLogEventBegin(ctx->events[9],0,0,0,0);CHKERRQ(ierr);
2105 #if defined(PETSC_HAVE_THREADSAFETY)
2106   starttime = MPI_Wtime();
2107 #endif
2108   ierr = PetscInfo2(ts, "Adding just mass to Jacobian t=%g, shift=%g\n",(double)time_dummy,(double)shift);CHKERRQ(ierr);
2109   if (shift==0.0) SETERRQ(ctx->comm, PETSC_ERR_PLIB, "zero shift");
2110   if (!ctx->aux_bool) SETERRQ(ctx->comm, PETSC_ERR_PLIB, "wrong state");
2111   if (!ctx->use_matrix_mass) {
2112     ierr = LandauFormJacobian_Internal(X,ctx->J,dim,shift,(void*)ctx);CHKERRQ(ierr);
2113   } else { /* add mass */
2114     ierr = MatAXPY(Pmat,shift,ctx->M,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
2115   }
2116   ctx->aux_bool = PETSC_FALSE;
2117   ierr = MatViewFromOptions(Pmat,NULL,"-landau_mat_view");CHKERRQ(ierr);
2118   /* set number species in Jacobian */
2119   ierr = PetscObjectQuery((PetscObject) ctx->J, "Nf", (PetscObject *) &container);CHKERRQ(ierr);
2120   if (!container) {
2121     PetscInt *pNf;
2122     ierr = PetscContainerCreate(PETSC_COMM_SELF, &container);CHKERRQ(ierr);
2123     ierr = PetscMalloc(sizeof(PetscInt), &pNf);CHKERRQ(ierr);
2124     *pNf = ctx->num_species + 1000*ctx->numConcurrency;
2125     ierr = PetscContainerSetPointer(container, (void *)pNf);CHKERRQ(ierr);
2126     ierr = PetscContainerSetUserDestroy(container, MatrixNfDestroy);CHKERRQ(ierr);
2127     ierr = PetscObjectCompose((PetscObject)ctx->J, "Nf", (PetscObject) container);CHKERRQ(ierr);
2128     ierr = PetscContainerDestroy(&container);CHKERRQ(ierr);
2129   }
2130 #if defined(PETSC_HAVE_THREADSAFETY)
2131   endtime = MPI_Wtime();
2132   ctx->times[0] += (endtime - starttime);
2133 #endif
2134   ierr = PetscLogEventEnd(ctx->events[9],0,0,0,0);CHKERRQ(ierr);
2135   ierr = PetscLogEventEnd(ctx->events[11],0,0,0,0);CHKERRQ(ierr);
2136   PetscFunctionReturn(0);
2137 }
2138