xref: /petsc/src/ts/utils/dmplexlandau/plexland.c (revision 2065540a855ff9f9c49aa4d22d544ff2b07d8a79)
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 #define PETSC_DEVICE_FUNC_DECL static
9 #include "land_tensors.h"
10 
11 /* vector padding not supported */
12 #define LANDAU_VL  1
13 
14 static PetscErrorCode LandauGPUMapsDestroy(void *ptr)
15 {
16   P4estVertexMaps *maps = (P4estVertexMaps *)ptr;
17   PetscErrorCode  ierr;
18   PetscFunctionBegin;
19   if (maps->deviceType != LANDAU_CPU) {
20 #if defined(PETSC_HAVE_KOKKOS_KERNELS)
21     if (maps->deviceType == LANDAU_KOKKOS) {
22       ierr = LandauKokkosDestroyMatMaps(maps);CHKERRQ(ierr); // imples Kokkos does
23     } // else could be CUDA
24 #elif defined(PETSC_HAVE_CUDA)
25     if (maps->deviceType == LANDAU_CUDA){
26       ierr = LandauCUDADestroyMatMaps(maps);CHKERRQ(ierr);
27     } else SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_PLIB, "maps->deviceType %D ?????",maps->deviceType);
28 #endif
29   }
30   ierr = PetscFree(maps->c_maps);CHKERRQ(ierr);
31   ierr = PetscFree(maps->gIdx);CHKERRQ(ierr);
32   ierr = PetscFree(maps);CHKERRQ(ierr);
33   PetscFunctionReturn(0);
34 }
35 
36 /* ------------------------------------------------------------------- */
37 /*
38  LandauFormJacobian_Internal - Evaluates Jacobian matrix.
39 
40  Input Parameters:
41  .  globX - input vector
42  .  actx - optional user-defined context
43  .  dim - dimension
44 
45  Output Parameters:
46  .  J0acP - Jacobian matrix filled, not created
47  */
48 static PetscErrorCode LandauFormJacobian_Internal(Vec a_X, Mat JacP, const PetscInt dim, PetscReal shift, void *a_ctx)
49 {
50   LandauCtx         *ctx = (LandauCtx*)a_ctx;
51   PetscErrorCode    ierr;
52   PetscInt          cStart, cEnd, elemMatSize;
53   DM                plex = NULL;
54   PetscDS           prob;
55   PetscSection      section,globsection;
56   PetscInt          numCells,totDim,ej,Nq,*Nbf,*Ncf,Nb,Ncx,Nf,d,f,fieldA,qj;
57   PetscQuadrature   quad;
58   const PetscReal   *quadWeights;
59   PetscTabulation   *Tf; // used for CPU and print info
60   PetscReal         Eq_m[LANDAU_MAX_SPECIES], m_0=ctx->m_0; /* normalize mass -- not needed! */
61   PetscScalar       *IPf=NULL;
62   PetscLogDouble    flops;
63   Vec               locX;
64   PetscContainer    container;
65   P4estVertexMaps   *maps=NULL;
66 
67   PetscFunctionBegin;
68   PetscValidHeaderSpecific(a_X,VEC_CLASSID,1);
69   PetscValidHeaderSpecific(JacP,MAT_CLASSID,2);
70   PetscValidPointer(ctx,4);
71 
72   /* check for matrix container for GPU assembly */
73   ierr = PetscLogEventBegin(ctx->events[10],0,0,0,0);CHKERRQ(ierr);
74   ierr = PetscObjectQuery((PetscObject) JacP, "assembly_maps", (PetscObject *) &container);CHKERRQ(ierr);
75   if (container /* && ctx->deviceType != LANDAU_CPU */) {
76     if (!ctx->gpu_assembly) SETERRQ(ctx->comm,PETSC_ERR_ARG_WRONG,"GPU matrix container but no GPU assembly");
77     ierr = PetscContainerGetPointer(container, (void **) &maps);CHKERRQ(ierr);
78     if (!maps) SETERRQ(ctx->comm,PETSC_ERR_ARG_WRONG,"empty GPU matrix container");
79   }
80   ierr = DMConvert(ctx->dmv, DMPLEX, &plex);CHKERRQ(ierr);
81   ierr = DMGetLocalVector(plex, &locX);CHKERRQ(ierr);
82   ierr = VecZeroEntries(locX);CHKERRQ(ierr); /* zero BCs so don't set */
83   ierr = DMGlobalToLocalBegin(plex, a_X, INSERT_VALUES, locX);CHKERRQ(ierr);
84   ierr = DMGlobalToLocalEnd  (plex, a_X, INSERT_VALUES, locX);CHKERRQ(ierr);
85   ierr = DMPlexGetHeightStratum(plex, 0, &cStart, &cEnd);CHKERRQ(ierr);
86   ierr = DMGetLocalSection(plex, &section);CHKERRQ(ierr);
87   ierr = DMGetGlobalSection(plex, &globsection);CHKERRQ(ierr);
88   ierr = DMGetDS(plex, &prob);CHKERRQ(ierr);
89   ierr = PetscDSGetTabulation(prob, &Tf);CHKERRQ(ierr); // Bf, &Df
90   ierr = PetscDSGetDimensions(prob, &Nbf);CHKERRQ(ierr); Nb = Nbf[0]; /* number of vertices*S */
91   ierr = PetscSectionGetNumFields(section, &Nf);CHKERRQ(ierr);         if (Nf!=ctx->num_species) SETERRQ1(ctx->comm, PETSC_ERR_PLIB, "Nf %D != S",Nf);
92   ierr = PetscDSGetComponents(prob, &Ncf);CHKERRQ(ierr); Ncx = Ncf[0]; if (Ncx!=1) SETERRQ1(ctx->comm, PETSC_ERR_PLIB, "Nc %D != 1",Ncx);
93   ierr = PetscDSGetTotalDimension(prob, &totDim);CHKERRQ(ierr);
94   numCells = cEnd - cStart;
95   ierr = PetscFEGetQuadrature(ctx->fe[0], &quad);CHKERRQ(ierr);
96   ierr = PetscQuadratureGetData(quad, NULL, NULL, &Nq, NULL, &quadWeights);CHKERRQ(ierr);
97   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);
98   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);
99   if (LANDAU_DIM != dim) SETERRQ2(ctx->comm, PETSC_ERR_PLIB, "dim %D != LANDAU_DIM %d",dim,LANDAU_DIM);
100   if (!ctx->SData_d) {
101     ierr = PetscNew(&ctx->SData_d);CHKERRQ(ierr);
102   }
103   elemMatSize = totDim*totDim; // used for CPU and print info
104   ierr = PetscLogEventEnd(ctx->events[10],0,0,0,0);CHKERRQ(ierr);
105   if (!ctx->init) {    /* create static point data, Jacobian called first */
106     PetscReal *invJ,*ww,*xx,*yy,*zz=NULL,*mass_w,*invJ_a;
107     const PetscInt  nip = Nq*numCells;
108 
109     ierr = PetscLogEventBegin(ctx->events[7],0,0,0,0);CHKERRQ(ierr);
110     ctx->init = PETSC_TRUE;
111     ierr = PetscInfo(plex, "Initialize static data\n");CHKERRQ(ierr);
112     /* collect f data, first time is for Jacobian, but make mass now */
113     if (ctx->verbose > 1 || ctx->verbose > 0) {
114       PetscInt N,Nloc;
115       ierr = MatGetSize(JacP,&N,NULL);CHKERRQ(ierr);
116       ierr = VecGetSize(locX,&Nloc);CHKERRQ(ierr);
117       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 N+hang=%D, shift=%g\n",
118                          0,"FormLandau",Nq*numCells,numCells, totDim, Nb, Nq, elemMatSize, dim, Tf[0]->Nb, Nf, Tf[0]->Np, Tf[0]->cdim, N, Nloc, shift);CHKERRQ(ierr);
119     }
120     ierr = PetscMalloc5(nip,&mass_w,nip,&ww,nip,&xx,nip,&yy,nip*dim*dim,&invJ_a);CHKERRQ(ierr);
121     if (dim==3) {
122       ierr = PetscMalloc1(nip,&zz);CHKERRQ(ierr);
123     }
124     for (ej = 0 ; ej < numCells; ++ej) {
125       PetscReal    vj[LANDAU_MAX_NQ*LANDAU_DIM],detJj[LANDAU_MAX_NQ], Jdummy[LANDAU_MAX_NQ*LANDAU_DIM*LANDAU_DIM];
126       invJ = invJ_a ? invJ_a + ej * Nq*dim*dim : NULL;
127       ierr = DMPlexComputeCellGeometryFEM(plex, cStart+ej, quad, vj, Jdummy, invJ, detJj);CHKERRQ(ierr);
128       /* create dynamic point data */
129       for (qj = 0; qj < Nq; ++qj) {
130         PetscInt         gidx = (ej*Nq + qj);
131         mass_w[gidx] = detJj[qj] * quadWeights[qj];
132         if (dim==2) mass_w[gidx] *=  2.*PETSC_PI*vj[qj * dim + 0]; /* cylindrical coordinate, w/o 2pi */
133         xx[gidx] = vj[qj * dim + 0]; /* coordinate */
134         yy[gidx] = vj[qj * dim + 1];
135         if (dim==3) zz[gidx] = vj[qj * dim + 2];
136         ww[gidx] = detJj[qj] * quadWeights[qj];
137         if (dim==2) ww[gidx] *= xx[gidx];  /* cylindrical coordinate, w/o 2pi */
138       } /* q */
139     } /* ej */
140     /* cache static data */
141     if (ctx->deviceType == LANDAU_CUDA || ctx->deviceType == LANDAU_KOKKOS) {
142 #if defined(PETSC_HAVE_CUDA) || defined(PETSC_HAVE_KOKKOS)
143       PetscReal invMass[LANDAU_MAX_SPECIES],nu_alpha[LANDAU_MAX_SPECIES], nu_beta[LANDAU_MAX_SPECIES];
144       for (fieldA=0;fieldA<Nf;fieldA++) {
145         invMass[fieldA] = m_0/ctx->masses[fieldA];
146         nu_alpha[fieldA] = PetscSqr(ctx->charges[fieldA]/m_0)*m_0/ctx->masses[fieldA];
147         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);
148       }
149       if (ctx->deviceType == LANDAU_CUDA) {
150 #if defined(PETSC_HAVE_CUDA)
151         ierr = LandauCudaStaticDataSet(plex,Nq,nu_alpha,nu_beta,invMass,invJ_a,mass_w,xx,yy,zz,ww,ctx->SData_d);CHKERRQ(ierr);
152 #else
153         SETERRQ1(ctx->comm,PETSC_ERR_ARG_WRONG,"-landau_device_type %s not built","cuda");
154 #endif
155       } else if (ctx->deviceType == LANDAU_KOKKOS) {
156 #if defined(PETSC_HAVE_KOKKOS)
157         ierr = LandauKokkosStaticDataSet(plex,Nq,nu_alpha,nu_beta,invMass,invJ_a,mass_w,xx,yy,zz,ww,ctx->SData_d);CHKERRQ(ierr);
158 #else
159         SETERRQ1(ctx->comm,PETSC_ERR_ARG_WRONG,"-landau_device_type %s not built","kokkos");
160 #endif
161       }
162 #endif
163       /* free */
164       ierr = PetscFree5(mass_w,ww,xx,yy,invJ_a);CHKERRQ(ierr);
165       if (dim==3) {
166         ierr = PetscFree(zz);CHKERRQ(ierr);
167       }
168     } else { /* CPU version, just copy in, only use part */
169       ctx->SData_d->w = (void*)ww;
170       ctx->SData_d->x = (void*)xx;
171       ctx->SData_d->y = (void*)yy;
172       ctx->SData_d->z = (void*)zz;
173       ctx->SData_d->invJ = (void*)invJ_a;
174       ctx->SData_d->mass_w = (void*)mass_w;
175     }
176     ierr = PetscLogEventEnd(ctx->events[7],0,0,0,0);CHKERRQ(ierr);
177   }
178   if (shift==0) { /* create dynamic point data */
179     ierr = PetscLogEventBegin(ctx->events[1],0,0,0,0);CHKERRQ(ierr);
180     ierr = MatZeroEntries(JacP);CHKERRQ(ierr);
181     flops = (PetscLogDouble)numCells*(PetscLogDouble)Nq*(PetscLogDouble)(5*dim*dim*Nf*Nf + 165);
182     for (fieldA=0;fieldA<Nf;fieldA++) {
183       Eq_m[fieldA] = ctx->Ez * ctx->t_0 * ctx->charges[fieldA] / (ctx->v_0 * ctx->masses[fieldA]); /* normalize dimensionless */
184       if (dim==2) Eq_m[fieldA] *=  2 * PETSC_PI; /* add the 2pi term that is not in Landau */
185     }
186     ierr = PetscMalloc1(Nq*numCells*Nf,&IPf);CHKERRQ(ierr);
187     for (ej = 0 ; ej < numCells; ++ej) {
188       PetscScalar *coef = NULL;
189       ierr = DMPlexVecGetClosure(plex, section, locX, cStart+ej, NULL, &coef);CHKERRQ(ierr);
190       ierr = PetscMemcpy(&IPf[ej*Nb*Nf],coef,Nb*Nf*sizeof(PetscScalar));CHKERRQ(ierr); /* change if LandauIPReal != PetscScalar */
191       ierr = DMPlexVecRestoreClosure(plex, section, locX, cStart+ej, NULL, &coef);CHKERRQ(ierr);
192     } /* ej */
193     ierr = PetscLogEventEnd(ctx->events[1],0,0,0,0);CHKERRQ(ierr);
194   } else {
195     flops = (PetscLogDouble)numCells*(PetscLogDouble)Nq*(PetscLogDouble)(5*dim*dim*Nf*Nf);
196   }
197   ierr = DMRestoreLocalVector(plex, &locX);CHKERRQ(ierr);
198   /* do it */
199   if (ctx->deviceType == LANDAU_CUDA || ctx->deviceType == LANDAU_KOKKOS) {
200     /* static PetscLogStage stage = 0; */
201     /* if (!stage) { */
202     /*   ierr = PetscLogStageRegister("Landau", &stage);CHKERRQ(ierr); */
203     /* } */
204     /* ierr = PetscLogStagePush(stage);CHKERRQ(ierr); */
205     if (ctx->deviceType == LANDAU_CUDA) {
206 #if defined(PETSC_HAVE_CUDA)
207       ierr = LandauCUDAJacobian(plex,Nq,Eq_m,IPf,ctx->SData_d,ctx->subThreadBlockSize,shift,ctx->events,JacP);CHKERRQ(ierr);
208 #else
209       SETERRQ1(ctx->comm,PETSC_ERR_ARG_WRONG,"-landau_device_type %s not built","cuda");
210 #endif
211     } else if (ctx->deviceType == LANDAU_KOKKOS) {
212 #if defined(PETSC_HAVE_KOKKOS)
213       ierr = LandauKokkosJacobian(plex,Nq,Eq_m,IPf,ctx->SData_d,ctx->subThreadBlockSize,shift,ctx->events,JacP);CHKERRQ(ierr);
214 #else
215       SETERRQ1(ctx->comm,PETSC_ERR_ARG_WRONG,"-landau_device_type %s not built","kokkos");
216 #endif
217     }
218     //ierr = PetscLogStagePop();CHKERRQ(ierr);
219   } else { /* CPU version */
220     PetscInt        ei, qi;
221     PetscScalar     *elemMat;
222     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;
223     const PetscInt  nip = Nq*numCells;
224     const PetscReal *const BB = Tf[0]->T[0], * const DD = Tf[0]->T[1];
225     PetscReal       Eq_m[LANDAU_MAX_SPECIES], invMass[LANDAU_MAX_SPECIES], nu_alpha[LANDAU_MAX_SPECIES], nu_beta[LANDAU_MAX_SPECIES];
226     if (shift!=0.0) { // mass
227       ierr = PetscMalloc1(elemMatSize, &elemMat);CHKERRQ(ierr);
228     } else {      /* compute f and df and init data for Jacobian */
229       ierr = PetscLogEventBegin(ctx->events[8],0,0,0,0);CHKERRQ(ierr);
230       for (fieldA=0;fieldA<Nf;fieldA++) {
231         invMass[fieldA] = m_0/ctx->masses[fieldA];
232         Eq_m[fieldA] = ctx->Ez * ctx->t_0 * ctx->charges[fieldA] / (ctx->v_0 * ctx->masses[fieldA]); /* normalize dimensionless */
233         if (dim==2) Eq_m[fieldA] *=  2 * PETSC_PI; /* add the 2pi term that is not in Landau */
234         nu_alpha[fieldA] = PetscSqr(ctx->charges[fieldA]/m_0)*m_0/ctx->masses[fieldA];
235         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);
236       }
237       ierr = PetscMalloc5(elemMatSize, &elemMat, nip*Nf, &ff, nip*Nf, &dudx, nip*Nf, &dudy, dim==3 ? nip*Nf : 0, &dudz);CHKERRQ(ierr);
238       for (ei = cStart, invJ = invJ_a; ei < cEnd; ++ei, invJ += Nq*dim*dim) {
239         PetscScalar  *coef = &IPf[ei*Nb*Nf];
240         PetscReal    u_x[LANDAU_MAX_SPECIES][LANDAU_DIM];
241         /* get f and df */
242         for (qi = 0; qi < Nq; ++qi) {
243           const PetscReal  *Bq = &BB[qi*Nb];
244           const PetscReal  *Dq = &DD[qi*Nb*dim];
245           const PetscInt   gidx = ei*Nq + qi;
246           /* get f & df */
247           for (f = 0; f < Nf; ++f) {
248             PetscInt   b, e;
249             PetscReal  refSpaceDer[LANDAU_DIM];
250             ff[gidx + f*nip] = 0.0;
251             for (d = 0; d < LANDAU_DIM; ++d) refSpaceDer[d] = 0.0;
252             for (b = 0; b < Nb; ++b) {
253               const PetscInt    cidx = b;
254               ff[gidx + f*nip] += Bq[cidx]*PetscRealPart(coef[f*Nb+cidx]);
255               for (d = 0; d < dim; ++d) refSpaceDer[d] += Dq[cidx*dim+d]*PetscRealPart(coef[f*Nb+cidx]);
256             }
257             for (d = 0; d < dim; ++d) {
258               for (e = 0, u_x[f][d] = 0.0; e < dim; ++e) {
259                 u_x[f][d] += invJ[qi * dim * dim + e*dim+d]*refSpaceDer[e];
260               }
261             }
262           }
263           for (f=0;f<Nf;f++) {
264             dudx[gidx + f*nip] = u_x[f][0];
265             dudy[gidx + f*nip] = u_x[f][1];
266 #if LANDAU_DIM==3
267             dudz[gidx + f*nip] = u_x[f][2];
268 #endif
269           }
270         }
271       }
272       ierr = PetscLogEventEnd(ctx->events[8],0,0,0,0);CHKERRQ(ierr);
273     }
274     for (ej = cStart, invJ = invJ_a; ej < cEnd; ++ej, invJ += Nq*dim*dim) {
275       ierr = PetscLogEventBegin(ctx->events[3],0,0,0,0);CHKERRQ(ierr);
276       ierr = PetscMemzero(elemMat, totDim *totDim * sizeof(PetscScalar));CHKERRQ(ierr);
277       ierr = PetscLogEventEnd(ctx->events[3],0,0,0,0);CHKERRQ(ierr);
278       ierr = PetscLogEventBegin(ctx->events[4],0,0,0,0);CHKERRQ(ierr);
279       ierr = PetscLogFlops((PetscLogDouble)Nq*flops);CHKERRQ(ierr);
280       //printf("\t:%d.%d) Invj[0] = %e (%d)\n",ej,qj,invJ[0],(int)(invJ-invJ_a));
281       for (qj = 0; qj < Nq; ++qj) {
282         const PetscReal * const BB = Tf[0]->T[0], * const DD = Tf[0]->T[1];
283         PetscReal               g0[LANDAU_MAX_SPECIES], g2[LANDAU_MAX_SPECIES][LANDAU_DIM], g3[LANDAU_MAX_SPECIES][LANDAU_DIM][LANDAU_DIM];
284         PetscInt                d,d2,dp,d3,ipidx,fieldA;
285         const PetscInt          jpidx = Nq*(ej-cStart) + qj;
286         if (shift==0.0) {
287           const PetscReal * const invJj = &invJ[qj*dim*dim];
288           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];
289           const PetscReal         vj[3] = {xx[jpidx], yy[jpidx], zz ? zz[jpidx] : 0}, wj = ww[jpidx];
290 
291           // create g2 & g3
292           for (d=0;d<dim;d++) { // clear accumulation data D & K
293             gg2_temp[d] = 0;
294             for (d2=0;d2<dim;d2++) gg3_temp[d][d2] = 0;
295           }
296           for (ipidx = 0; ipidx < nip; ipidx++) {
297             const PetscReal wi = ww[ipidx], x = xx[ipidx], y = yy[ipidx];
298             PetscReal       temp1[3] = {0, 0, 0}, temp2 = 0;
299 #if LANDAU_DIM==2
300             PetscReal       Ud[2][2], Uk[2][2];
301             LandauTensor2D(vj, x, y, Ud, Uk, (ipidx==jpidx) ? 0. : 1.);
302 #else
303             PetscReal U[3][3], z = zz[ipidx];
304             LandauTensor3D(vj, x, y, z, U, (ipidx==jpidx) ? 0. : 1.);
305 #endif
306             for (fieldA = 0; fieldA < Nf; ++fieldA) {
307               temp1[0] += dudx[ipidx + fieldA*nip]*nu_beta[fieldA]*invMass[fieldA];
308               temp1[1] += dudy[ipidx + fieldA*nip]*nu_beta[fieldA]*invMass[fieldA];
309 #if LANDAU_DIM==3
310               temp1[2] += dudz[ipidx + fieldA*nip]*nu_beta[fieldA]*invMass[fieldA];
311 #endif
312               temp2    += ff[ipidx + fieldA*nip]*nu_beta[fieldA];
313             }
314             temp1[0] *= wi;
315             temp1[1] *= wi;
316 #if LANDAU_DIM==3
317             temp1[2] *= wi;
318 #endif
319             temp2    *= wi;
320 #if LANDAU_DIM==2
321             for (d2 = 0; d2 < 2; d2++) {
322               for (d3 = 0; d3 < 2; ++d3) {
323                 /* K = U * grad(f): g2=e: i,A */
324                 gg2_temp[d2] += Uk[d2][d3]*temp1[d3];
325                 /* D = -U * (I \kron (fx)): g3=f: i,j,A */
326                 gg3_temp[d2][d3] += Ud[d2][d3]*temp2;
327               }
328             }
329 #else
330             for (d2 = 0; d2 < 3; ++d2) {
331               for (d3 = 0; d3 < 3; ++d3) {
332                 /* K = U * grad(f): g2 = e: i,A */
333                 gg2_temp[d2] += U[d2][d3]*temp1[d3];
334                 /* D = -U * (I \kron (fx)): g3 = f: i,j,A */
335                 gg3_temp[d2][d3] += U[d2][d3]*temp2;
336               }
337             }
338 #endif
339           } /* IPs */
340           //if (ej==0) printf("\t:%d.%d) temp gg3=%e %e %e %e\n",ej,qj,gg3_temp[0][0],gg3_temp[1][0],gg3_temp[0][1],gg3_temp[1][1]);
341           // add alpha and put in gg2/3
342           for (fieldA = 0; fieldA < Nf; ++fieldA) {
343             for (d2 = 0; d2 < dim; d2++) {
344               gg2[fieldA][d2] = gg2_temp[d2]*nu_alpha[fieldA];
345               for (d3 = 0; d3 < dim; d3++) {
346                 gg3[fieldA][d2][d3] = -gg3_temp[d2][d3]*nu_alpha[fieldA]*invMass[fieldA];
347               }
348             }
349           }
350           /* add electric field term once per IP */
351           for (fieldA = 0; fieldA < Nf; ++fieldA) {
352             gg2[fieldA][dim-1] += Eq_m[fieldA];
353             //printf("\t:%d.%d.%d) gg2 = %e %e\n",ej,qj,fieldA,gg2[fieldA][dim-1],Eq_m[fieldA]);
354           }
355           /* Jacobian transform - g2, g3 */
356           for (fieldA = 0; fieldA < Nf; ++fieldA) {
357             for (d = 0; d < dim; ++d) {
358               g2[fieldA][d] = 0.0;
359               for (d2 = 0; d2 < dim; ++d2) {
360                 //printf("\t:%d.%d.%d.%d.%d) gg2 = %e += %e (%d) %e\n",ej,qj,fieldA,d,d2,g2[fieldA][d],invJj[d*dim+d2],(int)(&invJj[d*dim+d2]-invJ_a),gg2[fieldA][d2]);
361                 g2[fieldA][d] += invJj[d*dim+d2]*gg2[fieldA][d2];
362                 g3[fieldA][d][d2] = 0.0;
363                 for (d3 = 0; d3 < dim; ++d3) {
364                   for (dp = 0; dp < dim; ++dp) {
365                     g3[fieldA][d][d2] += invJj[d*dim + d3]*gg3[fieldA][d3][dp]*invJj[d2*dim + dp];
366                   }
367                 }
368                 g3[fieldA][d][d2] *= wj;
369               }
370               //printf("\t:%d.%d.%d.%d) g2 = %e %e\n",ej,qj,fieldA,d,g2[fieldA][d],wj);
371               g2[fieldA][d] *= wj;
372             }
373           }
374         } else { // mass
375           /* Jacobian transform - g0 */
376           for (fieldA = 0; fieldA < Nf; ++fieldA) {
377             g0[fieldA] = mass_w[jpidx] * shift; // move this to below and remove g0
378           }
379         }
380         /* FE matrix construction */
381         {
382           PetscInt  fieldA,d,f,d2,g;
383           const PetscReal *BJq = &BB[qj*Nb], *DIq = &DD[qj*Nb*dim];
384           /* assemble - on the diagonal (I,I) */
385           for (fieldA = 0; fieldA < Nf ; fieldA++) {
386             for (f = 0; f < Nb ; f++) {
387               const PetscInt i = fieldA*Nb + f; /* Element matrix row */
388               for (g = 0; g < Nb; ++g) {
389                 const PetscInt j    = fieldA*Nb + g; /* Element matrix column */
390                 const PetscInt fOff = i*totDim + j;
391                 if (shift==0.0) {
392                   for (d = 0; d < dim; ++d) {
393                     elemMat[fOff] += DIq[f*dim+d]*g2[fieldA][d]*BJq[g];
394                     //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]);
395                     for (d2 = 0; d2 < dim; ++d2) {
396                       elemMat[fOff] += DIq[f*dim + d]*g3[fieldA][d][d2]*DIq[g*dim + d2];
397                     }
398                   }
399                 } else { // mass
400                   elemMat[fOff] += BJq[f]*g0[fieldA]*BJq[g];
401                 }
402               }
403             }
404           }
405         }
406       } /* qj loop */
407       ierr = PetscLogEventEnd(ctx->events[4],0,0,0,0);CHKERRQ(ierr);
408       /* assemble matrix */
409       ierr = PetscLogEventBegin(ctx->events[6],0,0,0,0);CHKERRQ(ierr);
410       if (!maps) {
411         ierr = DMPlexMatSetClosure(plex, section, globsection, JacP, ej, elemMat, ADD_VALUES);CHKERRQ(ierr);
412       } else {  // GPU like assembly for debugging
413         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];
414         PetscScalar   vals[LANDAU_MAX_Q_FACE*LANDAU_MAX_Q_FACE],row_scale[LANDAU_MAX_Q_FACE],col_scale[LANDAU_MAX_Q_FACE]={0};
415         //for (q = 0; q <LANDAU_MAX_Q_FACE; q++) cols0[q] = 0;
416         //for (q = 0; q < LANDAU_MAX_Q_FACE; q++) col_scale[q] = 0.0; // suppress warnings
417         /* assemble - from the diagonal (I,I) in this format for DMPlexMatSetClosure */
418         for (fieldA = 0; fieldA < Nf ; fieldA++) {
419           LandauIdx *const Idxs = &maps->gIdx[ej-cStart][fieldA][0];
420           for (f = 0; f < Nb ; f++) {
421             idx = Idxs[f];
422             if (idx >= 0) {
423               nr = 1;
424               rows0[0] = idx;
425               row_scale[0] = 1.;
426             } else {
427               idx = -idx - 1;
428               nr = maps->num_face;
429               for (q = 0; q < maps->num_face; q++) {
430                 rows0[q]     = maps->c_maps[idx][q].gid;
431                 row_scale[q] = maps->c_maps[idx][q].scale;
432               }
433             }
434             for (g = 0; g < Nb; ++g) {
435               idx = Idxs[g];
436               if (idx >= 0) {
437                 nc = 1;
438                 cols0[0] = idx;
439                 col_scale[0] = 1.;
440               } else {
441                 idx = -idx - 1;
442                 nc = maps->num_face;
443                 for (q = 0; q < maps->num_face; q++) {
444                   cols0[q]     = maps->c_maps[idx][q].gid;
445                   col_scale[q] = maps->c_maps[idx][q].scale;
446                 }
447               }
448               const PetscInt    i = fieldA*Nb + f; /* Element matrix row */
449               const PetscInt    j = fieldA*Nb + g; /* Element matrix column */
450               const PetscScalar Aij = elemMat[i*totDim + j];
451               for (q = 0; q < nr; q++) rows[q] = rows0[q];
452               for (q = 0; q < nc; q++) cols[q] = cols0[q];
453               for (q = 0; q < nr; q++) {
454                 for (d = 0; d < nc; d++) {
455                   vals[q*nc + d] = row_scale[q]*col_scale[d]*Aij;
456                 }
457               }
458               ierr = MatSetValues(JacP,nr,rows,nc,cols,vals,ADD_VALUES);CHKERRQ(ierr);
459             }
460           }
461         }
462       }
463       if (ej==-1) {
464         PetscErrorCode    ierr2;
465         ierr2 = PetscPrintf(ctx->comm,"CPU Element matrix\n");CHKERRQ(ierr2);
466         for (d = 0; d < totDim; ++d){
467           for (f = 0; f < totDim; ++f) {ierr2 = PetscPrintf(ctx->comm," %12.5e",  PetscRealPart(elemMat[d*totDim + f]));CHKERRQ(ierr2);}
468           ierr2 = PetscPrintf(ctx->comm,"\n");CHKERRQ(ierr2);
469         }
470         exit(12);
471       }
472       ierr = PetscLogEventEnd(ctx->events[6],0,0,0,0);CHKERRQ(ierr);
473     } /* ej cells loop, not cuda */
474     if (shift!=0.0) { // mass
475       ierr = PetscFree(elemMat);CHKERRQ(ierr);
476     } else {
477       ierr = PetscFree5(elemMat, ff, dudx, dudy, dudz);CHKERRQ(ierr);
478     }
479   } /* CPU version */
480 
481   /* assemble matrix or vector */
482   ierr = MatAssemblyBegin(JacP, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
483   ierr = MatAssemblyEnd(JacP, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
484 #define MAP_BF_SIZE (128*LANDAU_DIM*LANDAU_MAX_Q_FACE*LANDAU_MAX_SPECIES)
485   if (ctx->gpu_assembly && !container) {
486     PetscScalar             elemMatrix[LANDAU_MAX_NQ*LANDAU_MAX_NQ*LANDAU_MAX_SPECIES*LANDAU_MAX_SPECIES], *elMat;
487     pointInterpolationP4est pointMaps[MAP_BF_SIZE][LANDAU_MAX_Q_FACE];
488     PetscInt                q,eidx,fieldA;
489     MatType                 type;
490     ierr = PetscInfo1(plex, "Make GPU maps %D\n",1);CHKERRQ(ierr);
491     ierr = MatGetType(JacP,&type);CHKERRQ(ierr);
492     ierr = PetscLogEventBegin(ctx->events[2],0,0,0,0);CHKERRQ(ierr);
493     ierr = PetscMalloc(sizeof(P4estVertexMaps), &maps);CHKERRQ(ierr);
494     ierr = PetscContainerCreate(PETSC_COMM_SELF, &container);CHKERRQ(ierr);
495     ierr = PetscContainerSetPointer(container, (void *)maps);CHKERRQ(ierr);
496     ierr = PetscContainerSetUserDestroy(container, LandauGPUMapsDestroy);CHKERRQ(ierr);
497     ierr = PetscObjectCompose((PetscObject) JacP, "assembly_maps", (PetscObject) container);CHKERRQ(ierr);
498     ierr = PetscContainerDestroy(&container);CHKERRQ(ierr);
499     // make maps
500     maps->data = NULL;
501     maps->num_elements = numCells;
502     maps->num_face = (PetscInt)(pow(Nq,1./((double)dim))+.001); // Q
503     maps->num_face = (PetscInt)(pow(maps->num_face,(double)(dim-1))+.001); // Q^2
504     maps->num_reduced = 0;
505     maps->deviceType = ctx->deviceType;
506 
507     // count reduced and get
508     ierr = PetscMalloc(maps->num_elements * sizeof *maps->gIdx, &maps->gIdx);CHKERRQ(ierr);
509     for (fieldA=0;fieldA<Nf;fieldA++) {
510       for (ej = cStart, eidx = 0 ; ej < cEnd; ++ej, ++eidx) {
511         for (q = 0; q < Nb; ++q) {
512           PetscInt    numindices,*indices;
513           PetscScalar *valuesOrig = elMat = elemMatrix;
514           ierr = PetscMemzero(elMat, totDim*totDim*sizeof(PetscScalar));CHKERRQ(ierr);
515           elMat[ (fieldA*Nb + q)*totDim + fieldA*Nb + q] = 1;
516           ierr = DMPlexGetClosureIndices(plex, section, globsection, ej, PETSC_TRUE, &numindices, &indices, NULL, (PetscScalar **) &elMat);CHKERRQ(ierr);
517           for (f = 0 ; f < numindices ; ++f) { // look for a non-zero on the diagonal
518             if (PetscAbs(PetscRealPart(elMat[f*numindices + f])) > PETSC_MACHINE_EPSILON) {
519               // found it
520               if (PetscAbs(PetscRealPart(elMat[f*numindices + f] - 1.)) < PETSC_MACHINE_EPSILON) {
521                 maps->gIdx[eidx][fieldA][q] = (LandauIdx)indices[f]; // normal vertex 1.0
522               } else { //found a constraint
523                 int       jj = 0;
524                 PetscReal sum = 0;
525                 const PetscInt ff = f;
526                 maps->gIdx[eidx][fieldA][q] = -maps->num_reduced - 1; // gid = -(idx+1): idx = -gid - 1
527                 do {  // constraints are continous in Plex - exploit that here
528                   int ii;
529                   for (ii = 0, pointMaps[maps->num_reduced][jj].scale = 0; ii < maps->num_face; ii++) { // DMPlex puts them all together
530                     if (ff + ii < numindices) {
531                       pointMaps[maps->num_reduced][jj].scale += PetscRealPart(elMat[f*numindices + ff + ii]);
532                     }
533                   }
534                   sum += pointMaps[maps->num_reduced][jj].scale;
535                   if (pointMaps[maps->num_reduced][jj].scale == 0) pointMaps[maps->num_reduced][jj].gid = -1; // 3D has Q and Q^2 interps -- all contiguous???
536                   else                                             pointMaps[maps->num_reduced][jj].gid = indices[f];
537                 } while (++jj < maps->num_face && ++f < numindices); // jj is incremented if we hit the end
538                 while (jj++ < maps->num_face) {
539                   pointMaps[maps->num_reduced][jj].scale = 0;
540                   pointMaps[maps->num_reduced][jj].gid = -1;
541                 }
542                 if (PetscAbs(sum-1.0) > 10*PETSC_MACHINE_EPSILON) { // debug
543                   int       d,f;
544                   PetscReal tmp = 0;
545                   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);
546                   for (d = 0, tmp = 0; d < numindices; ++d){
547                     if (tmp!=0 && PetscAbs(tmp-1.0) > 10*PETSC_MACHINE_EPSILON) ierr = PetscPrintf(PETSC_COMM_WORLD,"%3D) %3D: ",d,indices[d]);CHKERRQ(ierr);
548                     for (f = 0; f < numindices; ++f) {
549                       tmp += PetscRealPart(elMat[d*numindices + f]);
550                     }
551                     if (tmp!=0) ierr = PetscPrintf(ctx->comm," | %22.16e\n",tmp);CHKERRQ(ierr);
552                   }
553                 }
554                 maps->num_reduced++;
555                 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);
556               }
557               break;
558             }
559           }
560           // cleanup
561           ierr = DMPlexRestoreClosureIndices(plex, section, globsection, ej, PETSC_TRUE, &numindices, &indices, NULL, (PetscScalar **) &elMat);CHKERRQ(ierr);
562           if (elMat != valuesOrig) {ierr = DMRestoreWorkArray(plex, numindices*numindices, MPIU_SCALAR, &elMat);}
563         }
564       }
565     }
566     // allocate and copy point datamaps->gIdx[eidx][field][q] -- for CPU version of this code, for debugging
567     ierr = PetscMalloc(maps->num_reduced * sizeof *maps->c_maps, &maps->c_maps);CHKERRQ(ierr);
568     for (ej = 0; ej < maps->num_reduced; ++ej) {
569       for (q = 0; q < maps->num_face; ++q) {
570         maps->c_maps[ej][q].scale = pointMaps[ej][q].scale;
571         maps->c_maps[ej][q].gid = pointMaps[ej][q].gid;
572       }
573     }
574 #if defined(PETSC_HAVE_KOKKOS_KERNELS)
575     if (ctx->deviceType == LANDAU_KOKKOS) {
576       ierr = LandauKokkosCreateMatMaps(maps, pointMaps,Nf,Nq);CHKERRQ(ierr); // imples Kokkos does
577     } // else could be CUDA
578 #endif
579 #if defined(PETSC_HAVE_CUDA)
580     if (ctx->deviceType == LANDAU_CUDA){
581       ierr = LandauCUDACreateMatMaps(maps, pointMaps,Nf,Nq);CHKERRQ(ierr);
582     }
583 #endif
584 
585     ierr = PetscLogEventEnd(ctx->events[2],0,0,0,0);CHKERRQ(ierr);
586   }
587   /* clean up */
588   ierr = DMDestroy(&plex);CHKERRQ(ierr);
589   if (IPf) {
590     ierr = PetscFree(IPf);CHKERRQ(ierr);
591   }
592   PetscFunctionReturn(0);
593 }
594 
595 #if defined(LANDAU_ADD_BCS)
596 static void zero_bc(PetscInt dim, PetscInt Nf, PetscInt NfAux,
597                     const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
598                     const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
599                     PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar uexact[])
600 {
601   uexact[0] = 0;
602 }
603 #endif
604 
605 #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]; }}
606 static void CircleInflate(PetscReal r1, PetscReal r2, PetscReal r0, PetscInt num_sections, PetscReal x, PetscReal y,
607                           PetscReal *outX, PetscReal *outY)
608 {
609   PetscReal rr = PetscSqrtReal(x*x + y*y), outfact, efact;
610   if (rr < r1 + PETSC_SQRT_MACHINE_EPSILON) {
611     *outX = x; *outY = y;
612   } else {
613     const PetscReal xy[2] = {x,y}, sinphi=y/rr, cosphi=x/rr;
614     PetscReal       cth,sth,xyprime[2],Rth[2][2],rotcos,newrr;
615     if (num_sections==2) {
616       rotcos = 0.70710678118654;
617       outfact = 1.5; efact = 2.5;
618       /* rotate normalized vector into [-pi/4,pi/4) */
619       if (sinphi >= 0.) {         /* top cell, -pi/2 */
620         cth = 0.707106781186548; sth = -0.707106781186548;
621       } else {                    /* bottom cell -pi/8 */
622         cth = 0.707106781186548; sth = .707106781186548;
623       }
624     } else if (num_sections==3) {
625       rotcos = 0.86602540378443;
626       outfact = 1.5; efact = 2.5;
627       /* rotate normalized vector into [-pi/6,pi/6) */
628       if (sinphi >= 0.5) {         /* top cell, -pi/3 */
629         cth = 0.5; sth = -0.866025403784439;
630       } else if (sinphi >= -.5) {  /* mid cell 0 */
631         cth = 1.; sth = .0;
632       } else { /* bottom cell +pi/3 */
633         cth = 0.5; sth = 0.866025403784439;
634       }
635     } else if (num_sections==4) {
636       rotcos = 0.9238795325112;
637       outfact = 1.5; efact = 3;
638       /* rotate normalized vector into [-pi/8,pi/8) */
639       if (sinphi >= 0.707106781186548) {         /* top cell, -3pi/8 */
640         cth = 0.38268343236509; sth = -0.923879532511287;
641       } else if (sinphi >= 0.) {                 /* mid top cell -pi/8 */
642         cth = 0.923879532511287; sth = -.38268343236509;
643       } else if (sinphi >= -0.707106781186548) { /* mid bottom cell + pi/8 */
644         cth = 0.923879532511287; sth = 0.38268343236509;
645       } else {                                   /* bottom cell + 3pi/8 */
646         cth = 0.38268343236509; sth = .923879532511287;
647       }
648     } else {
649       cth = 0.; sth = 0.; rotcos = 0; efact = 0;
650     }
651     Rth[0][0] = cth; Rth[0][1] =-sth;
652     Rth[1][0] = sth; Rth[1][1] = cth;
653     MATVEC2(Rth,xy,xyprime);
654     if (num_sections==2) {
655       newrr = xyprime[0]/rotcos;
656     } else {
657       PetscReal newcosphi=xyprime[0]/rr, rin = r1, rout = rr - rin;
658       PetscReal routmax = r0*rotcos/newcosphi - rin, nroutmax = r0 - rin, routfrac = rout/routmax;
659       newrr = rin + routfrac*nroutmax;
660     }
661     *outX = cosphi*newrr; *outY = sinphi*newrr;
662     /* grade */
663     PetscReal fact,tt,rs,re, rr = PetscSqrtReal(PetscSqr(*outX) + PetscSqr(*outY));
664     if (rr > r2) { rs = r2; re = r0; fact = outfact;} /* outer zone */
665     else {         rs = r1; re = r2; fact = efact;} /* electron zone */
666     tt = (rs + PetscPowReal((rr - rs)/(re - rs),fact) * (re-rs)) / rr;
667     *outX *= tt;
668     *outY *= tt;
669   }
670 }
671 
672 static PetscErrorCode GeometryDMLandau(DM base, PetscInt point, PetscInt dim, const PetscReal abc[], PetscReal xyz[], void *a_ctx)
673 {
674   LandauCtx   *ctx = (LandauCtx*)a_ctx;
675   PetscReal   r = abc[0], z = abc[1];
676   if (ctx->inflate) {
677     PetscReal absR, absZ;
678     absR = PetscAbs(r);
679     absZ = PetscAbs(z);
680     CircleInflate(ctx->i_radius,ctx->e_radius,ctx->radius,ctx->num_sections,absR,absZ,&absR,&absZ);
681     r = (r > 0) ? absR : -absR;
682     z = (z > 0) ? absZ : -absZ;
683   }
684   xyz[0] = r;
685   xyz[1] = z;
686   if (dim==3) xyz[2] = abc[2];
687 
688   PetscFunctionReturn(0);
689 }
690 
691 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)
692 {
693   PetscReal err = 0.0;
694   PetscInt  f = *(PetscInt*)actx, j;
695   PetscFunctionBegin;
696   for (j = 0; j < dim; ++j) {
697     err += PetscSqr(PetscRealPart(u_x[f*dim+j]));
698   }
699   err = PetscRealPart(u[f]); /* just use rho */
700   *error = volume * err; /* * (ctx->axisymmetric ? 2.*PETSC_PI * r : 1); */
701   PetscFunctionReturn(0);
702 }
703 
704 static PetscErrorCode LandauDMCreateVMesh(MPI_Comm comm, const PetscInt dim, const char prefix[], LandauCtx *ctx, DM *dm)
705 {
706   PetscErrorCode ierr;
707   PetscReal      radius = ctx->radius;
708   size_t         len;
709   char           fname[128] = ""; /* we can add a file if we want */
710 
711   PetscFunctionBegin;
712   /* create DM */
713   ierr = PetscStrlen(fname, &len);CHKERRQ(ierr);
714   if (len) {
715     PetscInt dim2;
716     ierr = DMPlexCreateFromFile(comm, fname, ctx->interpolate, dm);CHKERRQ(ierr);
717     ierr = DMGetDimension(*dm, &dim2);CHKERRQ(ierr);
718     if (LANDAU_DIM != dim2) SETERRQ2(comm, PETSC_ERR_PLIB, "dim %D != LANDAU_DIM %d",dim2,LANDAU_DIM);
719   } else {    /* p4est, quads */
720     /* Create plex mesh of Landau domain */
721     if (!ctx->sphere) {
722       PetscInt       cells[] = {2,2,2};
723       PetscReal      lo[] = {-radius,-radius,-radius}, hi[] = {radius,radius,radius};
724       DMBoundaryType periodicity[3] = {DM_BOUNDARY_NONE, dim==2 ? DM_BOUNDARY_NONE : DM_BOUNDARY_NONE, DM_BOUNDARY_NONE};
725       if (dim==2) { lo[0] = 0; cells[0] = 1; }
726       ierr = DMPlexCreateBoxMesh(comm, dim, PETSC_FALSE, cells, lo, hi, periodicity, PETSC_TRUE, dm);CHKERRQ(ierr);
727       ierr = DMLocalizeCoordinates(*dm);CHKERRQ(ierr); /* needed for periodic */
728       if (dim==3) {ierr = PetscObjectSetName((PetscObject) *dm, "cube");CHKERRQ(ierr);}
729       else {ierr = PetscObjectSetName((PetscObject) *dm, "half-plane");CHKERRQ(ierr);}
730     } else if (dim==2) {
731       PetscInt       numCells,cells[16][4],i,j;
732       PetscInt       numVerts;
733       PetscReal      inner_radius1 = ctx->i_radius, inner_radius2 = ctx->e_radius;
734       PetscReal      *flatCoords = NULL;
735       PetscInt       *flatCells = NULL, *pcell;
736       if (ctx->num_sections==2) {
737 #if 1
738         numCells = 5;
739         numVerts = 10;
740         int cells2[][4] = { {0,1,4,3},
741                             {1,2,5,4},
742                             {3,4,7,6},
743                             {4,5,8,7},
744                             {6,7,8,9} };
745         for (i = 0; i < numCells; i++) for (j = 0; j < 4; j++) cells[i][j] = cells2[i][j];
746         ierr = PetscMalloc2(numVerts * 2, &flatCoords, numCells * 4, &flatCells);CHKERRQ(ierr);
747         {
748           PetscReal (*coords)[2] = (PetscReal (*) [2]) flatCoords;
749           for (j = 0; j < numVerts-1; j++) {
750             PetscReal z, r, theta = -PETSC_PI/2 + (j%3) * PETSC_PI/2;
751             PetscReal rad = (j >= 6) ? inner_radius1 : (j >= 3) ? inner_radius2 : ctx->radius;
752             z = rad * PetscSinReal(theta);
753             coords[j][1] = z;
754             r = rad * PetscCosReal(theta);
755             coords[j][0] = r;
756           }
757           coords[numVerts-1][0] = coords[numVerts-1][1] = 0;
758         }
759 #else
760         numCells = 4;
761         numVerts = 8;
762         static int     cells2[][4] = {{0,1,2,3},
763                                       {4,5,1,0},
764                                       {5,6,2,1},
765                                       {6,7,3,2}};
766         for (i = 0; i < numCells; i++) for (j = 0; j < 4; j++) cells[i][j] = cells2[i][j];
767         ierr = loc2(numVerts * 2, &flatCoords, numCells * 4, &flatCells);CHKERRQ(ierr);
768         {
769           PetscReal (*coords)[2] = (PetscReal (*) [2]) flatCoords;
770           PetscInt j;
771           for (j = 0; j < 8; j++) {
772             PetscReal z, r;
773             PetscReal theta = -PETSC_PI/2 + (j%4) * PETSC_PI/3.;
774             PetscReal rad = ctx->radius * ((j < 4) ? 0.5 : 1.0);
775             z = rad * PetscSinReal(theta);
776             coords[j][1] = z;
777             r = rad * PetscCosReal(theta);
778             coords[j][0] = r;
779           }
780         }
781 #endif
782       } else if (ctx->num_sections==3) {
783         numCells = 7;
784         numVerts = 12;
785         int cells2[][4] = { {0,1,5,4},
786                             {1,2,6,5},
787                             {2,3,7,6},
788                             {4,5,9,8},
789                             {5,6,10,9},
790                             {6,7,11,10},
791                             {8,9,10,11} };
792         for (i = 0; i < numCells; i++) for (j = 0; j < 4; j++) cells[i][j] = cells2[i][j];
793         ierr = PetscMalloc2(numVerts * 2, &flatCoords, numCells * 4, &flatCells);CHKERRQ(ierr);
794         {
795           PetscReal (*coords)[2] = (PetscReal (*) [2]) flatCoords;
796           for (j = 0; j < numVerts; j++) {
797             PetscReal z, r, theta = -PETSC_PI/2 + (j%4) * PETSC_PI/3;
798             PetscReal rad = (j >= 8) ? inner_radius1 : (j >= 4) ? inner_radius2 : ctx->radius;
799             z = rad * PetscSinReal(theta);
800             coords[j][1] = z;
801             r = rad * PetscCosReal(theta);
802             coords[j][0] = r;
803           }
804         }
805       } else if (ctx->num_sections==4) {
806         numCells = 10;
807         numVerts = 16;
808         int cells2[][4] = { {0,1,6,5},
809                             {1,2,7,6},
810                             {2,3,8,7},
811                             {3,4,9,8},
812                             {5,6,11,10},
813                             {6,7,12,11},
814                             {7,8,13,12},
815                             {8,9,14,13},
816                             {10,11,12,15},
817                             {12,13,14,15}};
818         for (i = 0; i < numCells; i++) for (j = 0; j < 4; j++) cells[i][j] = cells2[i][j];
819         ierr = PetscMalloc2(numVerts * 2, &flatCoords, numCells * 4, &flatCells);CHKERRQ(ierr);
820         {
821           PetscReal (*coords)[2] = (PetscReal (*) [2]) flatCoords;
822           for (j = 0; j < numVerts-1; j++) {
823             PetscReal z, r, theta = -PETSC_PI/2 + (j%5) * PETSC_PI/4;
824             PetscReal rad = (j >= 10) ? inner_radius1 : (j >= 5) ? inner_radius2 : ctx->radius;
825             z = rad * PetscSinReal(theta);
826             coords[j][1] = z;
827             r = rad * PetscCosReal(theta);
828             coords[j][0] = r;
829           }
830           coords[numVerts-1][0] = coords[numVerts-1][1] = 0;
831         }
832       } else {
833         numCells = 0;
834         numVerts = 0;
835       }
836       for (j = 0, pcell = flatCells; j < numCells; j++, pcell += 4) {
837         pcell[0] = cells[j][0]; pcell[1] = cells[j][1];
838         pcell[2] = cells[j][2]; pcell[3] = cells[j][3];
839       }
840       ierr = DMPlexCreateFromCellListPetsc(comm,2,numCells,numVerts,4,ctx->interpolate,flatCells,2,flatCoords,dm);CHKERRQ(ierr);
841       ierr = PetscFree2(flatCoords,flatCells);CHKERRQ(ierr);
842       ierr = PetscObjectSetName((PetscObject) *dm, "semi-circle");CHKERRQ(ierr);
843     } else SETERRQ(ctx->comm, PETSC_ERR_PLIB, "Velocity space meshes does not support cubed sphere");
844   }
845   ierr = PetscObjectSetOptionsPrefix((PetscObject)*dm,prefix);CHKERRQ(ierr);
846 
847   ierr = DMSetFromOptions(*dm);CHKERRQ(ierr); /* Plex refine */
848 
849   { /* p4est? */
850     char      convType[256];
851     PetscBool flg;
852     ierr = PetscOptionsBegin(ctx->comm, prefix, "Mesh conversion options", "DMPLEX");CHKERRQ(ierr);
853     ierr = PetscOptionsFList("-dm_landau_type","Convert DMPlex to another format (should not be Plex!)","plexland.c",DMList,DMPLEX,convType,256,&flg);CHKERRQ(ierr);
854     ierr = PetscOptionsEnd();
855     if (flg) {
856       DM dmforest;
857       ierr = DMConvert(*dm,convType,&dmforest);CHKERRQ(ierr);
858       if (dmforest) {
859         PetscBool isForest;
860         if (dmforest->prealloc_only != (*dm)->prealloc_only) SETERRQ(PetscObjectComm((PetscObject)dm),PETSC_ERR_SUP,"plex->prealloc_only != dm->prealloc_only");
861         ierr = PetscObjectSetOptionsPrefix((PetscObject)dmforest,prefix);CHKERRQ(ierr);
862         ierr = DMIsForest(dmforest,&isForest);CHKERRQ(ierr);
863         if (isForest) {
864           if (ctx->sphere && ctx->inflate) {
865             ierr = DMForestSetBaseCoordinateMapping(dmforest,GeometryDMLandau,ctx);CHKERRQ(ierr);
866           }
867           if (dmforest->prealloc_only != (*dm)->prealloc_only) SETERRQ(PetscObjectComm((PetscObject)dm),PETSC_ERR_SUP,"plex->prealloc_only != dm->prealloc_only");
868           ierr = DMDestroy(dm);CHKERRQ(ierr);
869           *dm = dmforest;
870           ctx->errorIndicator = ErrorIndicator_Simple; /* flag for Forest */
871         } else SETERRQ(ctx->comm, PETSC_ERR_USER, "Converted to non Forest?");
872       } else SETERRQ(ctx->comm, PETSC_ERR_USER, "Convert failed?");
873     }
874   }
875   ierr = PetscObjectSetName((PetscObject) *dm, "Mesh");CHKERRQ(ierr);
876   PetscFunctionReturn(0);
877 }
878 
879 static PetscErrorCode SetupDS(DM dm, PetscInt dim, LandauCtx *ctx)
880 {
881   PetscErrorCode  ierr;
882   PetscInt        ii;
883   PetscFunctionBegin;
884   for (ii=0;ii<ctx->num_species;ii++) {
885     char     buf[256];
886     if (ii==0) ierr = PetscSNPrintf(buf, 256, "e");
887     else {ierr = PetscSNPrintf(buf, 256, "i%D", ii);CHKERRQ(ierr);}
888     /* Setup Discretization - FEM */
889     ierr = PetscFECreateDefault(PetscObjectComm((PetscObject) dm), dim, 1, PETSC_FALSE, NULL, PETSC_DECIDE, &ctx->fe[ii]);CHKERRQ(ierr);
890     ierr = PetscObjectSetName((PetscObject) ctx->fe[ii], buf);CHKERRQ(ierr);
891     ierr = DMSetField(dm, ii, NULL, (PetscObject) ctx->fe[ii]);CHKERRQ(ierr);
892   }
893   ierr = DMCreateDS(dm);CHKERRQ(ierr);
894   if (1) {
895     PetscInt        ii;
896     PetscSection    section;
897     ierr = DMGetSection(dm, &section);CHKERRQ(ierr);
898     for (ii=0;ii<ctx->num_species;ii++){
899       char buf[256];
900       if (ii==0) ierr = PetscSNPrintf(buf, 256, "se");
901       else ierr = PetscSNPrintf(buf, 256, "si%D", ii);
902       ierr = PetscSectionSetComponentName(section, ii, 0, buf);CHKERRQ(ierr);
903     }
904   }
905   PetscFunctionReturn(0);
906 }
907 
908 /* Define a Maxwellian function for testing out the operator. */
909 
910 /* Using cartesian velocity space coordinates, the particle */
911 /* density, [1/m^3], is defined according to */
912 
913 /* $$ n=\int_{R^3} dv^3 \left(\frac{m}{2\pi T}\right)^{3/2}\exp [- mv^2/(2T)] $$ */
914 
915 /* Using some constant, c, we normalize the velocity vector into a */
916 /* dimensionless variable according to v=c*x. Thus the density, $n$, becomes */
917 
918 /* $$ n=\int_{R^3} dx^3 \left(\frac{mc^2}{2\pi T}\right)^{3/2}\exp [- mc^2/(2T)*x^2] $$ */
919 
920 /* Defining $\theta=2T/mc^2$, we thus find that the probability density */
921 /* for finding the particle within the interval in a box dx^3 around x is */
922 
923 /* f(x;\theta)=\left(\frac{1}{\pi\theta}\right)^{3/2} \exp [ -x^2/\theta ] */
924 
925 typedef struct {
926   LandauCtx   *ctx;
927   PetscReal kT_m;
928   PetscReal n;
929   PetscReal shift;
930 } MaxwellianCtx;
931 
932 static PetscErrorCode maxwellian(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf_dummy, PetscScalar *u, void *actx)
933 {
934   MaxwellianCtx *mctx = (MaxwellianCtx*)actx;
935   LandauCtx     *ctx = mctx->ctx;
936   PetscInt      i;
937   PetscReal     v2 = 0, theta = 2*mctx->kT_m/(ctx->v_0*ctx->v_0); /* theta = 2kT/mc^2 */
938   PetscFunctionBegin;
939   /* compute the exponents, v^2 */
940   for (i = 0; i < dim; ++i) v2 += x[i]*x[i];
941   /* evaluate the Maxwellian */
942   u[0] = mctx->n*PetscPowReal(PETSC_PI*theta,-1.5)*(PetscExpReal(-v2/theta));
943   if (mctx->shift!=0.) {
944     v2 = 0;
945     for (i = 0; i < dim-1; ++i) v2 += x[i]*x[i];
946     v2 += (x[dim-1]-mctx->shift)*(x[dim-1]-mctx->shift);
947     /* evaluate the shifted Maxwellian */
948     u[0] += mctx->n*PetscPowReal(PETSC_PI*theta,-1.5)*(PetscExpReal(-v2/theta));
949   }
950   PetscFunctionReturn(0);
951 }
952 
953 /*@
954  LandauAddMaxwellians - Add a Maxwellian distribution to a state
955 
956  Collective on X
957 
958  Input Parameters:
959  .   dm - The mesh
960  +   time - Current time
961  -   temps - Temperatures of each species
962  .   ns - Number density of each species
963  +   actx - Landau context
964 
965  Output Parameter:
966  .   X  - The state
967 
968  Level: beginner
969 
970  .keywords: mesh
971  .seealso: LandauCreateVelocitySpace()
972  @*/
973 PetscErrorCode LandauAddMaxwellians(DM dm, Vec X, PetscReal time, PetscReal temps[], PetscReal ns[], void *actx)
974 {
975   LandauCtx      *ctx = (LandauCtx*)actx;
976   PetscErrorCode (*initu[LANDAU_MAX_SPECIES])(PetscInt, PetscReal, const PetscReal [], PetscInt, PetscScalar [], void *);
977   PetscErrorCode ierr,ii;
978   PetscInt       dim;
979   MaxwellianCtx  *mctxs[LANDAU_MAX_SPECIES], data[LANDAU_MAX_SPECIES];
980 
981   PetscFunctionBegin;
982   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
983   if (!ctx) { ierr = DMGetApplicationContext(dm, &ctx);CHKERRQ(ierr); }
984   for (ii=0;ii<ctx->num_species;ii++) {
985     mctxs[ii] = &data[ii];
986     data[ii].ctx = ctx;
987     data[ii].kT_m = ctx->k*temps[ii]/ctx->masses[ii]; /* kT/m */
988     data[ii].n = ns[ii];
989     initu[ii] = maxwellian;
990     data[ii].shift = 0;
991   }
992   data[0].shift = ctx->electronShift;
993   /* need to make ADD_ALL_VALUES work - TODO */
994   ierr = DMProjectFunction(dm, time, initu, (void**)mctxs, INSERT_ALL_VALUES, X);CHKERRQ(ierr);
995   PetscFunctionReturn(0);
996 }
997 
998 /*
999  LandauSetInitialCondition - Addes Maxwellians with context
1000 
1001  Collective on X
1002 
1003  Input Parameters:
1004  .   dm - The mesh
1005  +   actx - Landau context with T and n
1006 
1007  Output Parameter:
1008  .   X  - The state
1009 
1010  Level: beginner
1011 
1012  .keywords: mesh
1013  .seealso: LandauCreateVelocitySpace(), LandauAddMaxwellians()
1014  */
1015 static PetscErrorCode LandauSetInitialCondition(DM dm, Vec X, void *actx)
1016 {
1017   LandauCtx        *ctx = (LandauCtx*)actx;
1018   PetscErrorCode ierr;
1019   PetscFunctionBegin;
1020   if (!ctx) { ierr = DMGetApplicationContext(dm, &ctx);CHKERRQ(ierr); }
1021   ierr = VecZeroEntries(X);CHKERRQ(ierr);
1022   ierr = LandauAddMaxwellians(dm, X, 0.0, ctx->thermal_temps, ctx->n, ctx);CHKERRQ(ierr);
1023   PetscFunctionReturn(0);
1024 }
1025 
1026 static PetscErrorCode adaptToleranceFEM(PetscFE fem, Vec sol, PetscReal refineTol[], PetscReal coarsenTol[], PetscInt type, LandauCtx *ctx, DM *newDM)
1027 {
1028   DM               dm, plex, adaptedDM = NULL;
1029   PetscDS          prob;
1030   PetscBool        isForest;
1031   PetscQuadrature  quad;
1032   PetscInt         Nq, *Nb, cStart, cEnd, c, dim, qj, k;
1033   DMLabel          adaptLabel = NULL;
1034   PetscErrorCode   ierr;
1035 
1036   PetscFunctionBegin;
1037   ierr = VecGetDM(sol, &dm);CHKERRQ(ierr);
1038   ierr = DMCreateDS(dm);CHKERRQ(ierr);
1039   ierr = DMGetDS(dm, &prob);CHKERRQ(ierr);
1040   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
1041   ierr = DMIsForest(dm, &isForest);CHKERRQ(ierr);
1042   ierr = DMConvert(dm, DMPLEX, &plex);CHKERRQ(ierr);
1043   ierr = DMPlexGetHeightStratum(plex,0,&cStart,&cEnd);CHKERRQ(ierr);
1044   ierr = DMLabelCreate(PETSC_COMM_SELF,"adapt",&adaptLabel);CHKERRQ(ierr);
1045   ierr = PetscFEGetQuadrature(fem, &quad);CHKERRQ(ierr);
1046   ierr = PetscQuadratureGetData(quad, NULL, NULL, &Nq, NULL, NULL);CHKERRQ(ierr);
1047   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);
1048   ierr = PetscDSGetDimensions(prob, &Nb);CHKERRQ(ierr);
1049   if (type==4) {
1050     for (c = cStart; c < cEnd; c++) {
1051       ierr = DMLabelSetValue(adaptLabel, c, DM_ADAPT_REFINE);CHKERRQ(ierr);
1052     }
1053     ierr = PetscInfo1(sol, "Phase:%s: Uniform refinement\n","adaptToleranceFEM");CHKERRQ(ierr);
1054   } else if (type==2) {
1055     PetscInt  rCellIdx[8], eCellIdx[64], iCellIdx[64], eMaxIdx = -1, iMaxIdx = -1, nr = 0, nrmax = (dim==3) ? 8 : 2;
1056     PetscReal minRad = PETSC_INFINITY, r, eMinRad = PETSC_INFINITY, iMinRad = PETSC_INFINITY;
1057     for (c = 0; c < 64; c++) { eCellIdx[c] = iCellIdx[c] = -1; }
1058     for (c = cStart; c < cEnd; c++) {
1059       PetscReal    tt, v0[LANDAU_MAX_NQ*3], detJ[LANDAU_MAX_NQ];
1060       ierr = DMPlexComputeCellGeometryFEM(plex, c, quad, v0, NULL, NULL, detJ);CHKERRQ(ierr);
1061       for (qj = 0; qj < Nq; ++qj) {
1062         tt = PetscSqr(v0[dim*qj+0]) + PetscSqr(v0[dim*qj+1]) + PetscSqr(((dim==3) ? v0[dim*qj+2] : 0));
1063         r = PetscSqrtReal(tt);
1064         if (r < minRad - PETSC_SQRT_MACHINE_EPSILON*10.) {
1065           minRad = r;
1066           nr = 0;
1067           rCellIdx[nr++]= c;
1068           ierr = PetscInfo4(sol, "\t\tPhase: adaptToleranceFEM Found first inner r=%e, cell %D, qp %D/%D\n", r, c, qj+1, Nq);CHKERRQ(ierr);
1069         } else if ((r-minRad) < PETSC_SQRT_MACHINE_EPSILON*100. && nr < nrmax) {
1070           for (k=0;k<nr;k++) if (c == rCellIdx[k]) break;
1071           if (k==nr) {
1072             rCellIdx[nr++]= c;
1073             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);
1074           }
1075         }
1076         if (ctx->sphere) {
1077           if ((tt=r-ctx->e_radius) > 0) {
1078             PetscInfo2(sol, "\t\t\t %D cell r=%g\n",c,tt);
1079             if (tt < eMinRad - PETSC_SQRT_MACHINE_EPSILON*100.) {
1080               eMinRad = tt;
1081               eMaxIdx = 0;
1082               eCellIdx[eMaxIdx++] = c;
1083             } else if (eMaxIdx > 0 && (tt-eMinRad) <= PETSC_SQRT_MACHINE_EPSILON && c != eCellIdx[eMaxIdx-1]) {
1084               eCellIdx[eMaxIdx++] = c;
1085             }
1086           }
1087           if ((tt=r-ctx->i_radius) > 0) {
1088             if (tt < iMinRad - 1.e-5) {
1089               iMinRad = tt;
1090               iMaxIdx = 0;
1091               iCellIdx[iMaxIdx++] = c;
1092             } else if (iMaxIdx > 0 && (tt-iMinRad) <= PETSC_SQRT_MACHINE_EPSILON && c != iCellIdx[iMaxIdx-1]) {
1093               iCellIdx[iMaxIdx++] = c;
1094             }
1095           }
1096         }
1097       }
1098     }
1099     for (k=0;k<nr;k++) {
1100       ierr = DMLabelSetValue(adaptLabel, rCellIdx[k], DM_ADAPT_REFINE);CHKERRQ(ierr);
1101     }
1102     if (ctx->sphere) {
1103       for (c = 0; c < eMaxIdx; c++) {
1104         ierr = DMLabelSetValue(adaptLabel, eCellIdx[c], DM_ADAPT_REFINE);CHKERRQ(ierr);
1105         ierr = PetscInfo3(sol, "\t\tPhase:%s: refine sphere e cell %D r=%g\n","adaptToleranceFEM",eCellIdx[c],eMinRad);
1106       }
1107       for (c = 0; c < iMaxIdx; c++) {
1108         ierr = DMLabelSetValue(adaptLabel, iCellIdx[c], DM_ADAPT_REFINE);CHKERRQ(ierr);
1109         ierr = PetscInfo3(sol, "\t\tPhase:%s: refine sphere i cell %D r=%g\n","adaptToleranceFEM",iCellIdx[c],iMinRad);
1110       }
1111     }
1112     ierr = PetscInfo4(sol, "Phase:%s: Adaptive refine origin cells %D,%D r=%g\n","adaptToleranceFEM",rCellIdx[0],rCellIdx[1],minRad);
1113   } else if (type==0 || type==1 || type==3) { /* refine along r=0 axis */
1114     PetscScalar  *coef = NULL;
1115     Vec          coords;
1116     PetscInt     csize,Nv,d,nz;
1117     DM           cdm;
1118     PetscSection cs;
1119     ierr = DMGetCoordinatesLocal(dm, &coords);CHKERRQ(ierr);
1120     ierr = DMGetCoordinateDM(dm, &cdm);CHKERRQ(ierr);
1121     ierr = DMGetLocalSection(cdm, &cs);CHKERRQ(ierr);
1122     for (c = cStart; c < cEnd; c++) {
1123       PetscInt doit = 0, outside = 0;
1124       ierr = DMPlexVecGetClosure(cdm, cs, coords, c, &csize, &coef);CHKERRQ(ierr);
1125       Nv = csize/dim;
1126       for (nz = d = 0; d < Nv; d++) {
1127         PetscReal z = PetscRealPart(coef[d*dim + (dim-1)]), x = PetscSqr(PetscRealPart(coef[d*dim + 0])) + ((dim==3) ? PetscSqr(PetscRealPart(coef[d*dim + 1])) : 0);
1128         x = PetscSqrtReal(x);
1129         if (x < PETSC_MACHINE_EPSILON*10. && PetscAbs(z)<PETSC_MACHINE_EPSILON*10.) doit = 1;             /* refine origin */
1130         else if (type==0 && (z < -PETSC_MACHINE_EPSILON*10. || z > ctx->re_radius+PETSC_MACHINE_EPSILON*10.)) outside++;   /* first pass don't refine bottom */
1131         else if (type==1 && (z > ctx->vperp0_radius1 || z < -ctx->vperp0_radius1)) outside++; /* don't refine outside electron refine radius */
1132         else if (type==3 && (z > ctx->vperp0_radius2 || z < -ctx->vperp0_radius2)) outside++; /* don't refine outside ion refine radius */
1133         if (x < PETSC_MACHINE_EPSILON*10.) nz++;
1134       }
1135       ierr = DMPlexVecRestoreClosure(cdm, cs, coords, c, &csize, &coef);CHKERRQ(ierr);
1136       if (doit || (outside<Nv && nz)) {
1137         ierr = DMLabelSetValue(adaptLabel, c, DM_ADAPT_REFINE);CHKERRQ(ierr);
1138       }
1139     }
1140     ierr = PetscInfo1(sol, "Phase:%s: RE refinement\n","adaptToleranceFEM");
1141   }
1142   /* ierr = VecDestroy(&locX);CHKERRQ(ierr); */
1143   ierr = DMDestroy(&plex);CHKERRQ(ierr);
1144   ierr = DMAdaptLabel(dm, adaptLabel, &adaptedDM);CHKERRQ(ierr);
1145   ierr = DMLabelDestroy(&adaptLabel);CHKERRQ(ierr);
1146   *newDM = adaptedDM;
1147   if (adaptedDM) {
1148     if (isForest) {
1149       ierr = DMForestSetAdaptivityForest(adaptedDM,NULL);CHKERRQ(ierr);
1150     }
1151     ierr = DMConvert(adaptedDM, DMPLEX, &plex);CHKERRQ(ierr);
1152     ierr = DMPlexGetHeightStratum(plex,0,&cStart,&cEnd);CHKERRQ(ierr);
1153     ierr = PetscInfo2(sol, "\tPhase: adaptToleranceFEM: %D cells, %d total quadrature points\n",cEnd-cStart,Nq*(cEnd-cStart));CHKERRQ(ierr);
1154     ierr = DMDestroy(&plex);CHKERRQ(ierr);
1155   }
1156   PetscFunctionReturn(0);
1157 }
1158 
1159 static PetscErrorCode adapt(DM *dm, LandauCtx *ctx, Vec *uu)
1160 {
1161   PetscErrorCode  ierr;
1162   PetscInt        type, limits[5] = {ctx->numRERefine,ctx->nZRefine1,ctx->maxRefIts,ctx->nZRefine2,ctx->postAMRRefine};
1163   PetscInt        adaptIter;
1164 
1165   PetscFunctionBegin;
1166   for (type=0;type<5;type++) {
1167     for (adaptIter = 0; adaptIter<limits[type];adaptIter++) {
1168       DM  dmNew = NULL;
1169       ierr = adaptToleranceFEM(ctx->fe[0], *uu, ctx->refineTol, ctx->coarsenTol, type, ctx, &dmNew);CHKERRQ(ierr);
1170       if (!dmNew) SETERRQ(ctx->comm,PETSC_ERR_ARG_WRONG,"should not happen");
1171       else {
1172         ierr = DMDestroy(dm);CHKERRQ(ierr);
1173         ierr = VecDestroy(uu);CHKERRQ(ierr);
1174         ierr = DMCreateGlobalVector(dmNew,uu);CHKERRQ(ierr);
1175         ierr = PetscObjectSetName((PetscObject) *uu, "u");CHKERRQ(ierr);
1176         ierr = LandauSetInitialCondition(dmNew, *uu, ctx);CHKERRQ(ierr);
1177         *dm = dmNew;
1178       }
1179     }
1180   }
1181   PetscFunctionReturn(0);
1182 }
1183 
1184 static PetscErrorCode ProcessOptions(LandauCtx *ctx, const char prefix[])
1185 {
1186   PetscErrorCode    ierr;
1187   PetscBool         flg, sph_flg;
1188   PetscInt          ii,nt,nm,nc;
1189   DM                dummy;
1190 
1191   PetscFunctionBegin;
1192   ierr = DMCreate(ctx->comm,&dummy);CHKERRQ(ierr);
1193   /* get options - initialize context */
1194   ctx->verbose = 1;
1195   ctx->interpolate = PETSC_TRUE;
1196   ctx->gpu_assembly = PETSC_TRUE;
1197   ctx->sphere = PETSC_FALSE;
1198   ctx->inflate = PETSC_FALSE;
1199   ctx->electronShift = 0;
1200   ctx->errorIndicator = NULL;
1201   ctx->radius = 5.; /* electron thermal radius (velocity) */
1202   ctx->re_radius = 0.;
1203   ctx->vperp0_radius1 = 0;
1204   ctx->vperp0_radius2 = 0;
1205   ctx->e_radius = .1;
1206   ctx->i_radius = .01;
1207   ctx->maxRefIts = 5;
1208   ctx->postAMRRefine = 0;
1209   ctx->nZRefine1 = 0;
1210   ctx->nZRefine2 = 0;
1211   ctx->numRERefine = 0;
1212   ctx->aux_bool = PETSC_FALSE;
1213   ctx->num_sections = 3; /* 2, 3 or 4 */
1214   /* species - [0] electrons, [1] one ion species eg, duetarium, [2] heavy impurity ion, ... */
1215   ctx->charges[0] = -1;  /* electron charge (MKS) */
1216   ctx->masses[0] = 1/1835.5; /* temporary value in proton mass */
1217   ctx->n[0] = 1;
1218   ctx->thermal_temps[0] = 1;
1219   /* constants, etc. */
1220   ctx->epsilon0 = 8.8542e-12; /* permittivity of free space (MKS) F/m */
1221   ctx->k = 1.38064852e-23; /* Boltzmann constant (MKS) J/K */
1222   ctx->lnLam = 10;         /* cross section ratio large - small angle collisions */
1223   ctx->n_0 = 1.e20;        /* typical plasma n, but could set it to 1 */
1224   ctx->Ez = 0;
1225   ctx->v_0 = 1; /* in electron thermal velocity */
1226   ctx->subThreadBlockSize = 1; /* for device and maybe OMP */
1227   ctx->numConcurrency = 1; /* for device */
1228   ctx->SData_d = NULL;     /* for device */
1229   ctx->times[0] = 0;
1230   ctx->init = PETSC_FALSE; // doit first time
1231   ctx->use_matrix_mass = PETSC_FALSE; /* fast but slightly fragile */
1232   ierr = PetscOptionsBegin(ctx->comm, prefix, "Options for Fokker-Plank-Landau collision operator", "none");CHKERRQ(ierr);
1233   {
1234     char opstring[256];
1235 #if defined(PETSC_HAVE_KOKKOS)
1236     ctx->deviceType = LANDAU_KOKKOS;
1237     ierr = PetscStrcpy(opstring,"kokkos");CHKERRQ(ierr);
1238 #if defined(PETSC_HAVE_CUDA)
1239     ctx->subThreadBlockSize = 16;
1240 #endif
1241 #elif defined(PETSC_HAVE_CUDA)
1242     ctx->deviceType = LANDAU_CUDA;
1243     ierr = PetscStrcpy(opstring,"cuda");CHKERRQ(ierr);
1244 #else
1245     ctx->deviceType = LANDAU_CPU;
1246     ierr = PetscStrcpy(opstring,"cpu");CHKERRQ(ierr);
1247     ctx->subThreadBlockSize = 0;
1248 #endif
1249     ierr = PetscOptionsString("-dm_landau_device_type","Use kernels on 'cpu', 'cuda', or 'kokkos'","plexland.c",opstring,opstring,256,NULL);CHKERRQ(ierr);
1250     ierr = PetscStrcmp("cpu",opstring,&flg);CHKERRQ(ierr);
1251     if (flg) {
1252       ctx->deviceType = LANDAU_CPU;
1253       ctx->subThreadBlockSize = 0;
1254     } else {
1255       ierr = PetscStrcmp("cuda",opstring,&flg);CHKERRQ(ierr);
1256       if (flg) {
1257         ctx->deviceType = LANDAU_CUDA;
1258         ctx->subThreadBlockSize = 0;
1259       } else {
1260         ierr = PetscStrcmp("kokkos",opstring,&flg);CHKERRQ(ierr);
1261         if (flg) ctx->deviceType = LANDAU_KOKKOS;
1262         else SETERRQ1(ctx->comm,PETSC_ERR_ARG_WRONG,"-dm_landau_device_type %s",opstring);
1263       }
1264     }
1265   }
1266   ierr = PetscOptionsBool("-dm_landau_gpu_assembly", "Assemble Jacobian on GPU", "plexland.c", ctx->gpu_assembly, &ctx->gpu_assembly, NULL);CHKERRQ(ierr);
1267   ierr = PetscOptionsReal("-dm_landau_electron_shift","Shift in thermal velocity of electrons","none",ctx->electronShift,&ctx->electronShift, NULL);CHKERRQ(ierr);
1268   ierr = PetscOptionsBool("-dm_landau_sphere", "use sphere/semi-circle domain instead of rectangle", "plexland.c", ctx->sphere, &ctx->sphere, &sph_flg);CHKERRQ(ierr);
1269   ierr = PetscOptionsBool("-dm_landau_inflate", "With sphere, inflate for curved edges (no AMR)", "plexland.c", ctx->inflate, &ctx->inflate, NULL);CHKERRQ(ierr);
1270   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);
1271   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);
1272   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);
1273   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);
1274   ierr = PetscOptionsInt("-dm_landau_amr_post_refine", "Number of levels to uniformly refine after AMR", "plexland.c", ctx->postAMRRefine, &ctx->postAMRRefine, NULL);CHKERRQ(ierr);
1275   ierr = PetscOptionsInt("-dm_landau_verbose", "", "plexland.c", ctx->verbose, &ctx->verbose, NULL);CHKERRQ(ierr);
1276   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);
1277   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);
1278   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);
1279   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);
1280   ierr = PetscOptionsReal("-dm_landau_n_0","Normalization constant for number density","plexland.c",ctx->n_0,&ctx->n_0, NULL);CHKERRQ(ierr);
1281   ierr = PetscOptionsReal("-dm_landau_ln_lambda","Cross section parameter","plexland.c",ctx->lnLam,&ctx->lnLam, NULL);CHKERRQ(ierr);
1282   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);
1283   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);
1284   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);
1285 
1286   /* get num species with tempurature*/
1287   {
1288     PetscReal arr[100];
1289     nt = 100;
1290     ierr = PetscOptionsRealArray("-dm_landau_thermal_temps", "Temperature of each species [e,i_0,i_1,...] in keV", "plexland.c", arr, &nt, &flg);CHKERRQ(ierr);
1291     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);
1292   }
1293   nt = LANDAU_MAX_SPECIES;
1294   for (ii=1;ii<LANDAU_MAX_SPECIES;ii++) {
1295     ctx->thermal_temps[ii] = 1.;
1296     ctx->charges[ii] = 1;
1297     ctx->masses[ii] = 1;
1298     ctx->n[ii] = (ii==1) ? 1 : 0;
1299   }
1300   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);
1301   if (flg) {
1302     PetscInfo1(dummy, "num_species set to number of thermal temps provided (%D)\n",nt);
1303     ctx->num_species = nt;
1304   } else SETERRQ(ctx->comm,PETSC_ERR_ARG_WRONG,"-dm_landau_thermal_temps ,t1,t2,.. must be provided to set the number of species");
1305   for (ii=0;ii<ctx->num_species;ii++) ctx->thermal_temps[ii] *= 1.1604525e7; /* convert to Kelvin */
1306   nm = LANDAU_MAX_SPECIES-1;
1307   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);
1308   if (flg && nm != ctx->num_species-1) {
1309     SETERRQ2(ctx->comm,PETSC_ERR_ARG_WRONG,"num ion masses %D != num species %D",nm,ctx->num_species-1);
1310   }
1311   nm = LANDAU_MAX_SPECIES;
1312   ierr = PetscOptionsRealArray("-dm_landau_n", "Normalized (by -n_0) number density of each species", "plexland.c", ctx->n, &nm, &flg);CHKERRQ(ierr);
1313   if (flg && nm != ctx->num_species) SETERRQ2(ctx->comm,PETSC_ERR_ARG_WRONG,"wrong num n: %D != num species %D",nm,ctx->num_species);
1314   ctx->n_0 *= ctx->n[0]; /* normalized number density */
1315   for (ii=1;ii<ctx->num_species;ii++) ctx->n[ii] = ctx->n[ii]/ctx->n[0];
1316   ctx->n[0] = 1;
1317   for (ii=0;ii<LANDAU_MAX_SPECIES;ii++) ctx->masses[ii] *= 1.6720e-27; /* scale by proton mass kg */
1318   ctx->masses[0] = 9.10938356e-31; /* electron mass kg (should be about right already) */
1319   ctx->m_0 = ctx->masses[0]; /* arbitrary reference mass, electrons */
1320   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);
1321   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) */
1322   nc = LANDAU_MAX_SPECIES-1;
1323   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);
1324   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);
1325   for (ii=0;ii<LANDAU_MAX_SPECIES;ii++) ctx->charges[ii] *= 1.6022e-19; /* electron/proton charge (MKS) */
1326   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 */
1327   /* geometry */
1328   for (ii=0;ii<ctx->num_species;ii++) ctx->refineTol[ii]  = PETSC_MAX_REAL;
1329   for (ii=0;ii<ctx->num_species;ii++) ctx->coarsenTol[ii] = 0.;
1330   ii = LANDAU_MAX_SPECIES;
1331   ierr = PetscOptionsRealArray("-dm_landau_refine_tol","tolerance for refining cells in AMR","plexland.c",ctx->refineTol, &ii, &flg);CHKERRQ(ierr);
1332   if (flg && ii != ctx->num_species) ierr = PetscInfo2(dummy, "Phase: Warning, #refine_tol %D != num_species %D\n",ii,ctx->num_species);CHKERRQ(ierr);
1333   ii = LANDAU_MAX_SPECIES;
1334   ierr = PetscOptionsRealArray("-dm_landau_coarsen_tol","tolerance for coarsening cells in AMR","plexland.c",ctx->coarsenTol, &ii, &flg);CHKERRQ(ierr);
1335   if (flg && ii != ctx->num_species) ierr = PetscInfo2(dummy, "Phase: Warning, #coarsen_tol %D != num_species %D\n",ii,ctx->num_species);CHKERRQ(ierr);
1336   ierr = PetscOptionsReal("-dm_landau_domain_radius","Phase space size in units of electron thermal velocity","plexland.c",ctx->radius,&ctx->radius, &flg);CHKERRQ(ierr);
1337   if (flg && ctx->radius <= 0) { /* negative is ratio of c */
1338     if (ctx->radius == 0) ctx->radius = 0.75;
1339     else ctx->radius = -ctx->radius;
1340     ctx->radius = ctx->radius*299792458.0/ctx->v_0;
1341     ierr = PetscInfo1(dummy, "Change domain radius to %e\n",ctx->radius);CHKERRQ(ierr);
1342   }
1343   ierr = PetscOptionsReal("-dm_landau_i_radius","Ion thermal velocity, used for circular meshes","plexland.c",ctx->i_radius,&ctx->i_radius, &flg);CHKERRQ(ierr);
1344   if (flg && !sph_flg) ctx->sphere = PETSC_TRUE; /* you gave me an ion radius but did not set sphere, user error really */
1345   if (!flg) {
1346     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 */
1347   }
1348   ierr = PetscOptionsReal("-dm_landau_e_radius","Electron thermal velocity, used for circular meshes","plexland.c",ctx->e_radius,&ctx->e_radius, &flg);CHKERRQ(ierr);
1349   if (flg && !sph_flg) ctx->sphere = PETSC_TRUE; /* you gave me an e radius but did not set sphere, user error really */
1350   if (!flg) {
1351     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 */
1352   }
1353   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);
1354   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);
1355   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1356   for (ii=ctx->num_species;ii<LANDAU_MAX_SPECIES;ii++) ctx->masses[ii] = ctx->thermal_temps[ii]  = ctx->charges[ii] = 0;
1357   if (ctx->verbose > 0) {
1358     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);
1359     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);
1360     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);
1361   }
1362   ierr = DMDestroy(&dummy);CHKERRQ(ierr);
1363   {
1364     PetscMPIInt    rank;
1365     ierr = MPI_Comm_rank(ctx->comm, &rank);CHKERRMPI(ierr);
1366     /* PetscLogStage  setup_stage; */
1367     ierr = PetscLogEventRegister("Landau Operator", DM_CLASSID, &ctx->events[11]);CHKERRQ(ierr); /* 11 */
1368     ierr = PetscLogEventRegister("Landau Jacobian", DM_CLASSID, &ctx->events[0]);CHKERRQ(ierr); /* 0 */
1369     ierr = PetscLogEventRegister("Landau Mass", DM_CLASSID, &ctx->events[9]);CHKERRQ(ierr); /* 9 */
1370     ierr = PetscLogEventRegister(" Preamble", DM_CLASSID, &ctx->events[10]);CHKERRQ(ierr); /* 10 */
1371     ierr = PetscLogEventRegister(" static IP Data", DM_CLASSID, &ctx->events[7]);CHKERRQ(ierr); /* 7 */
1372     ierr = PetscLogEventRegister(" dynamic IP-Jac", DM_CLASSID, &ctx->events[1]);CHKERRQ(ierr); /* 1 */
1373     ierr = PetscLogEventRegister(" Kernel-init", DM_CLASSID, &ctx->events[3]);CHKERRQ(ierr); /* 3 */
1374     ierr = PetscLogEventRegister(" Jac-f-df (GPU)", DM_CLASSID, &ctx->events[8]);CHKERRQ(ierr); /* 8 */
1375     ierr = PetscLogEventRegister(" Kernel (GPU)", DM_CLASSID, &ctx->events[4]);CHKERRQ(ierr); /* 4 */
1376     ierr = PetscLogEventRegister(" Copy to CPU", DM_CLASSID, &ctx->events[5]);CHKERRQ(ierr); /* 5 */
1377     ierr = PetscLogEventRegister(" Jac-assemble", DM_CLASSID, &ctx->events[6]);CHKERRQ(ierr); /* 6 */
1378     ierr = PetscLogEventRegister(" Jac asmbl setup", DM_CLASSID, &ctx->events[2]);CHKERRQ(ierr); /* 2 */
1379 
1380     if (rank) { /* turn off output stuff for duplicate runs - do we need to add the prefix to all this? */
1381       ierr = PetscOptionsClearValue(NULL,"-snes_converged_reason");CHKERRQ(ierr);
1382       ierr = PetscOptionsClearValue(NULL,"-ksp_converged_reason");CHKERRQ(ierr);
1383       ierr = PetscOptionsClearValue(NULL,"-snes_monitor");CHKERRQ(ierr);
1384       ierr = PetscOptionsClearValue(NULL,"-ksp_monitor");CHKERRQ(ierr);
1385       ierr = PetscOptionsClearValue(NULL,"-ts_monitor");CHKERRQ(ierr);
1386       ierr = PetscOptionsClearValue(NULL,"-ts_adapt_monitor");CHKERRQ(ierr);
1387       ierr = PetscOptionsClearValue(NULL,"-dm_landau_amr_dm_view");CHKERRQ(ierr);
1388       ierr = PetscOptionsClearValue(NULL,"-dm_landau_amr_vec_view");CHKERRQ(ierr);
1389       ierr = PetscOptionsClearValue(NULL,"-dm_landau_pre_dm_view");CHKERRQ(ierr);
1390       ierr = PetscOptionsClearValue(NULL,"-dm_landau_pre_vec_view");CHKERRQ(ierr);
1391       ierr = PetscOptionsClearValue(NULL,"-info");CHKERRQ(ierr);
1392     }
1393   }
1394   PetscFunctionReturn(0);
1395 }
1396 
1397 /*@C
1398  LandauCreateVelocitySpace - Create a DMPlex velocity space mesh
1399 
1400  Collective on comm
1401 
1402  Input Parameters:
1403  +   comm  - The MPI communicator
1404  .   dim - velocity space dimension (2 for axisymmetric, 3 for full 3X + 3V solver)
1405  -   prefix - prefix for options
1406 
1407  Output Parameter:
1408  .   dm  - The DM object representing the mesh
1409  +   X - A vector (user destroys)
1410  -   J - Optional matrix (object destroys)
1411 
1412  Level: beginner
1413 
1414  .keywords: mesh
1415  .seealso: DMPlexCreate(), LandauDestroyVelocitySpace()
1416  @*/
1417 PetscErrorCode LandauCreateVelocitySpace(MPI_Comm comm, PetscInt dim, const char prefix[], Vec *X, Mat *J, DM *dm)
1418 {
1419   PetscErrorCode ierr;
1420   LandauCtx      *ctx;
1421   PetscBool      prealloc_only,flg;
1422 
1423   PetscFunctionBegin;
1424   if (dim!=2 && dim!=3) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Only 2D and 3D supported");
1425   ierr = PetscNew(&ctx);CHKERRQ(ierr);
1426   ctx->comm = comm; /* used for diagnostics and global errors */
1427   /* process options */
1428   ierr = ProcessOptions(ctx,prefix);CHKERRQ(ierr);
1429   /* Create Mesh */
1430   ierr = LandauDMCreateVMesh(PETSC_COMM_SELF, dim, prefix, ctx, dm);CHKERRQ(ierr);
1431   prealloc_only = (*dm)->prealloc_only;
1432   ierr = DMViewFromOptions(*dm,NULL,"-dm_landau_pre_dm_view");CHKERRQ(ierr);
1433   ierr = DMSetApplicationContext(*dm, ctx);CHKERRQ(ierr);
1434   /* create FEM */
1435   ierr = SetupDS(*dm,dim,ctx);CHKERRQ(ierr);
1436   /* set initial state */
1437   ierr = DMCreateGlobalVector(*dm,X);CHKERRQ(ierr);
1438   ierr = PetscObjectSetName((PetscObject) *X, "u");CHKERRQ(ierr);
1439   /* initial static refinement, no solve */
1440   ierr = LandauSetInitialCondition(*dm, *X, ctx);CHKERRQ(ierr);
1441   ierr = VecViewFromOptions(*X, NULL, "-dm_landau_pre_vec_view");CHKERRQ(ierr);
1442   /* forest refinement */
1443   if (ctx->errorIndicator) {
1444     /* AMR */
1445     ierr = adapt(dm,ctx,X);CHKERRQ(ierr);
1446     if ((*dm)->prealloc_only != prealloc_only) SETERRQ(PetscObjectComm((PetscObject)dm),PETSC_ERR_SUP,"(*dm)->prealloc_only != prealloc_only");
1447     ierr = DMViewFromOptions(*dm,NULL,"-dm_landau_amr_dm_view");CHKERRQ(ierr);
1448     ierr = VecViewFromOptions(*X, NULL, "-dm_landau_amr_vec_view");CHKERRQ(ierr);
1449   }
1450   ierr = DMSetApplicationContext(*dm, ctx);CHKERRQ(ierr);
1451   ctx->dmv = *dm;
1452   if (ctx->dmv->prealloc_only != prealloc_only) SETERRQ(PetscObjectComm((PetscObject)dm),PETSC_ERR_SUP,"ctx->dmv->prealloc_only != prealloc_only");
1453   ierr = DMCreateMatrix(ctx->dmv, &ctx->J);CHKERRQ(ierr);
1454   ierr = MatSetOption(ctx->J, MAT_IGNORE_ZERO_ENTRIES, PETSC_TRUE);CHKERRQ(ierr);
1455   ierr = MatSetOption(ctx->J, MAT_STRUCTURALLY_SYMMETRIC, PETSC_TRUE);CHKERRQ(ierr);
1456   if (J) *J = ctx->J;
1457   /* check for types that we need */
1458 #if defined(PETSC_HAVE_KOKKOS)
1459   if (ctx->deviceType == LANDAU_CPU) {
1460     ierr = PetscObjectTypeCompareAny((PetscObject)ctx->J,&flg,MATSEQAIJKOKKOS,MATMPIAIJKOKKOS,MATAIJKOKKOS,"");CHKERRQ(ierr);
1461     //if (flg) SETERRQ(ctx->comm,PETSC_ERR_ARG_WRONG,"with device=cpu must not use '-dm_mat_type aijkokkos -dm_vec_type kokkos' for GPU assembly and Kokkos");
1462   }
1463 #elif defined(PETSC_HAVE_CUDA)
1464   if (ctx->deviceType == LANDAU_CPU) {
1465     ierr = PetscObjectTypeCompareAny((PetscObject)ctx->J,&flg,MATSEQAIJCUSPARSE,MATMPIAIJCUSPARSE,MATAIJCUSPARSE,"");CHKERRQ(ierr);
1466     //if (flg) SETERRQ(ctx->comm,PETSC_ERR_ARG_WRONG,"with device=cpu must not use '-dm_mat_type aijcusparse -dm_vec_type cuda' for GPU assembly and Cuda");
1467   }
1468 #endif
1469   if (ctx->gpu_assembly) { /* we need GPU object with GPU assembly */
1470     if (ctx->deviceType == LANDAU_CUDA) {
1471       ierr = PetscObjectTypeCompareAny((PetscObject)ctx->J,&flg,MATSEQAIJCUSPARSE,MATMPIAIJCUSPARSE,MATAIJCUSPARSE,"");CHKERRQ(ierr);
1472       if (!flg) SETERRQ(ctx->comm,PETSC_ERR_ARG_WRONG,"must use '-dm_mat_type aijcusparse -dm_vec_type cuda' for GPU assembly and Cuda");
1473     } else if (ctx->deviceType == LANDAU_KOKKOS) {
1474       ierr = PetscObjectTypeCompareAny((PetscObject)ctx->J,&flg,MATSEQAIJKOKKOS,MATMPIAIJKOKKOS,MATAIJKOKKOS,"");CHKERRQ(ierr);
1475 #if defined(PETSC_HAVE_KOKKOS_KERNELS)
1476       if (!flg) SETERRQ(ctx->comm,PETSC_ERR_ARG_WRONG,"must use '-dm_mat_type aijkokkos -dm_vec_type kokkos' for GPU assembly and Kokkos");
1477 #else
1478       if (!flg) SETERRQ(ctx->comm,PETSC_ERR_ARG_WRONG,"must configure with '--download-kokkos-kernels=1' for GPU assembly and Kokkos");
1479 #endif
1480     }
1481   }
1482   PetscFunctionReturn(0);
1483 }
1484 
1485 /*@
1486  LandauDestroyVelocitySpace - Destroy a DMPlex velocity space mesh
1487 
1488  Collective on dm
1489 
1490  Input/Output Parameters:
1491  .   dm - the dm to destroy
1492 
1493  Level: beginner
1494 
1495  .keywords: mesh
1496  .seealso: LandauCreateVelocitySpace()
1497  @*/
1498 PetscErrorCode LandauDestroyVelocitySpace(DM *dm)
1499 {
1500   PetscErrorCode ierr,ii;
1501   LandauCtx      *ctx;
1502   PetscContainer container = NULL;
1503   PetscFunctionBegin;
1504   ierr = DMGetApplicationContext(*dm, &ctx);CHKERRQ(ierr);
1505   ierr = PetscObjectQuery((PetscObject)ctx->J,"coloring", (PetscObject*)&container);CHKERRQ(ierr);
1506   if (container) {
1507     ierr = PetscContainerDestroy(&container);CHKERRQ(ierr);
1508   }
1509   ierr = MatDestroy(&ctx->M);CHKERRQ(ierr);
1510   ierr = MatDestroy(&ctx->J);CHKERRQ(ierr);
1511   for (ii=0;ii<ctx->num_species;ii++) {
1512     ierr = PetscFEDestroy(&ctx->fe[ii]);CHKERRQ(ierr);
1513   }
1514   if (ctx->deviceType == LANDAU_CUDA) {
1515 #if defined(PETSC_HAVE_CUDA)
1516     ierr = LandauCudaStaticDataClear(ctx->SData_d);CHKERRQ(ierr);
1517 #else
1518     SETERRQ1(ctx->comm,PETSC_ERR_ARG_WRONG,"-landau_device_type %s not built","cuda");
1519 #endif
1520   } else if (ctx->deviceType == LANDAU_KOKKOS) {
1521 #if defined(PETSC_HAVE_KOKKOS)
1522     ierr = LandauKokkosStaticDataClear(ctx->SData_d);CHKERRQ(ierr);
1523 #else
1524     SETERRQ1(ctx->comm,PETSC_ERR_ARG_WRONG,"-landau_device_type %s not built","kokkos");
1525 #endif
1526   } else {
1527     if (ctx->SData_d) { /* in a CPU run */
1528       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;
1529       ierr = PetscFree5(mass_w,ww,xx,yy,invJ);CHKERRQ(ierr);
1530       if (zz) {
1531         ierr = PetscFree(zz);CHKERRQ(ierr);
1532       }
1533     }
1534   }
1535   ierr = PetscFree(ctx->SData_d);CHKERRQ(ierr);
1536   if (ctx->times[0] > 0) {
1537     ierr = PetscPrintf(ctx->comm, "Landau Operator       %d 1.0 %10.3e ....\n",10000,ctx->times[0]);CHKERRQ(ierr);
1538   }
1539   PetscFree(ctx);
1540   ierr = DMDestroy(dm);CHKERRQ(ierr);
1541   PetscFunctionReturn(0);
1542 }
1543 
1544 /* < v, ru > */
1545 static void f0_s_den(PetscInt dim, PetscInt Nf, PetscInt NfAux,
1546                      const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
1547                      const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
1548                      PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
1549 {
1550   PetscInt ii = (PetscInt)PetscRealPart(constants[0]);
1551   f0[0] = u[ii];
1552 }
1553 
1554 /* < v, ru > */
1555 static void f0_s_mom(PetscInt dim, PetscInt Nf, PetscInt NfAux,
1556                      const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
1557                      const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
1558                      PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
1559 {
1560   PetscInt ii = (PetscInt)PetscRealPart(constants[0]), jj = (PetscInt)PetscRealPart(constants[1]);
1561   f0[0] = x[jj]*u[ii]; /* x momentum */
1562 }
1563 
1564 static void f0_s_v2(PetscInt dim, PetscInt Nf, PetscInt NfAux,
1565                     const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
1566                     const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
1567                     PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
1568 {
1569   PetscInt i, ii = (PetscInt)PetscRealPart(constants[0]);
1570   double tmp1 = 0.;
1571   for (i = 0; i < dim; ++i) tmp1 += x[i]*x[i];
1572   f0[0] = tmp1*u[ii];
1573 }
1574 
1575 /* < v, ru > */
1576 static void f0_s_rden(PetscInt dim, PetscInt Nf, PetscInt NfAux,
1577                       const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
1578                       const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
1579                       PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
1580 {
1581   PetscInt ii = (PetscInt)PetscRealPart(constants[0]);
1582   f0[0] = 2.*PETSC_PI*x[0]*u[ii];
1583 }
1584 
1585 /* < v, ru > */
1586 static void f0_s_rmom(PetscInt dim, PetscInt Nf, PetscInt NfAux,
1587                       const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
1588                       const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
1589                       PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
1590 {
1591   PetscInt ii = (PetscInt)PetscRealPart(constants[0]);
1592   f0[0] = 2.*PETSC_PI*x[0]*x[1]*u[ii];
1593 }
1594 
1595 static void f0_s_rv2(PetscInt dim, PetscInt Nf, PetscInt NfAux,
1596                      const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
1597                      const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
1598                      PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
1599 {
1600   PetscInt ii = (PetscInt)PetscRealPart(constants[0]);
1601   f0[0] =  2.*PETSC_PI*x[0]*(x[0]*x[0] + x[1]*x[1])*u[ii];
1602 }
1603 
1604 /*@
1605  LandauPrintNorms - collects moments and prints them
1606 
1607  Collective on dm
1608 
1609  Input Parameters:
1610  +   X  - the state
1611  -   stepi - current step to print
1612 
1613  Level: beginner
1614 
1615  .keywords: mesh
1616  .seealso: LandauCreateVelocitySpace()
1617  @*/
1618 PetscErrorCode LandauPrintNorms(Vec X, PetscInt stepi)
1619 {
1620   PetscErrorCode ierr;
1621   LandauCtx      *ctx;
1622   PetscDS        prob;
1623   DM             plex,dm;
1624   PetscInt       cStart, cEnd, dim, ii;
1625   PetscScalar    xmomentumtot=0, ymomentumtot=0, zmomentumtot=0, energytot=0, densitytot=0, tt[LANDAU_MAX_SPECIES];
1626   PetscScalar    xmomentum[LANDAU_MAX_SPECIES],  ymomentum[LANDAU_MAX_SPECIES],  zmomentum[LANDAU_MAX_SPECIES], energy[LANDAU_MAX_SPECIES], density[LANDAU_MAX_SPECIES];
1627 
1628   PetscFunctionBegin;
1629   ierr = VecGetDM(X, &dm);CHKERRQ(ierr);
1630   if (!dm) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "no DM");
1631   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
1632   ierr = DMGetApplicationContext(dm, &ctx);CHKERRQ(ierr);
1633   if (!ctx) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "no context");
1634   ierr = DMConvert(ctx->dmv, DMPLEX, &plex);CHKERRQ(ierr);
1635   ierr = DMCreateDS(plex);CHKERRQ(ierr);
1636   ierr = DMGetDS(plex, &prob);CHKERRQ(ierr);
1637   /* print momentum and energy */
1638   for (ii=0;ii<ctx->num_species;ii++) {
1639     PetscScalar user[2] = { (PetscScalar)ii, (PetscScalar)ctx->charges[ii]};
1640     ierr = PetscDSSetConstants(prob, 2, user);CHKERRQ(ierr);
1641     if (dim==2) { /* 2/3X + 3V (cylindrical coordinates) */
1642       ierr = PetscDSSetObjective(prob, 0, &f0_s_rden);CHKERRQ(ierr);
1643       ierr = DMPlexComputeIntegralFEM(plex,X,tt,ctx);CHKERRQ(ierr);
1644       density[ii] = tt[0]*ctx->n_0*ctx->charges[ii];
1645       ierr = PetscDSSetObjective(prob, 0, &f0_s_rmom);CHKERRQ(ierr);
1646       ierr = DMPlexComputeIntegralFEM(plex,X,tt,ctx);CHKERRQ(ierr);
1647       zmomentum[ii] = tt[0]*ctx->n_0*ctx->v_0*ctx->masses[ii];
1648       ierr = PetscDSSetObjective(prob, 0, &f0_s_rv2);CHKERRQ(ierr);
1649       ierr = DMPlexComputeIntegralFEM(plex,X,tt,ctx);CHKERRQ(ierr);
1650       energy[ii] = tt[0]*0.5*ctx->n_0*ctx->v_0*ctx->v_0*ctx->masses[ii];
1651       zmomentumtot += zmomentum[ii];
1652       energytot  += energy[ii];
1653       densitytot += density[ii];
1654       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);
1655     } else { /* 2/3X + 3V */
1656       ierr = PetscDSSetObjective(prob, 0, &f0_s_den);CHKERRQ(ierr);
1657       ierr = DMPlexComputeIntegralFEM(plex,X,tt,ctx);CHKERRQ(ierr);
1658       density[ii] = tt[0]*ctx->n_0*ctx->charges[ii];
1659       ierr = PetscDSSetObjective(prob, 0, &f0_s_mom);CHKERRQ(ierr);
1660       user[1] = 0;
1661       ierr = DMPlexComputeIntegralFEM(plex,X,tt,ctx);CHKERRQ(ierr);
1662       xmomentum[ii]  = tt[0]*ctx->n_0*ctx->v_0*ctx->masses[ii];
1663       user[1] = 1;
1664       ierr = DMPlexComputeIntegralFEM(plex,X,tt,ctx);CHKERRQ(ierr);
1665       ymomentum[ii] = tt[0]*ctx->n_0*ctx->v_0*ctx->masses[ii];
1666       user[1] = 2;
1667       ierr = DMPlexComputeIntegralFEM(plex,X,tt,ctx);CHKERRQ(ierr);
1668       zmomentum[ii] = tt[0]*ctx->n_0*ctx->v_0*ctx->masses[ii];
1669       ierr = PetscDSSetObjective(prob, 0, &f0_s_v2);CHKERRQ(ierr);
1670       ierr = DMPlexComputeIntegralFEM(plex,X,tt,ctx);CHKERRQ(ierr);
1671       energy[ii]    = 0.5*tt[0]*ctx->n_0*ctx->v_0*ctx->v_0*ctx->masses[ii];
1672       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",
1673                          stepi,ii,PetscRealPart(density[ii]),PetscRealPart(xmomentum[ii]),PetscRealPart(ymomentum[ii]),PetscRealPart(zmomentum[ii]),PetscRealPart(energy[ii]));CHKERRQ(ierr);
1674       xmomentumtot += xmomentum[ii];
1675       ymomentumtot += ymomentum[ii];
1676       zmomentumtot += zmomentum[ii];
1677       energytot  += energy[ii];
1678       densitytot += density[ii];
1679     }
1680     if (ctx->num_species>1) PetscPrintf(ctx->comm, "\n");
1681   }
1682   /* totals */
1683   ierr = DMPlexGetHeightStratum(plex,0,&cStart,&cEnd);CHKERRQ(ierr);
1684   ierr = DMDestroy(&plex);CHKERRQ(ierr);
1685   if (ctx->num_species>1) {
1686     if (dim==2) {
1687       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)",
1688                          stepi,(double)PetscRealPart(densitytot),(double)PetscRealPart(zmomentumtot),(double)PetscRealPart(energytot),(double)(ctx->masses[1]/ctx->masses[0]),cEnd-cStart);CHKERRQ(ierr);
1689     } else {
1690       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)",
1691                          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);
1692     }
1693   } else {
1694     ierr = PetscPrintf(ctx->comm, " -- %D cells",cEnd-cStart);CHKERRQ(ierr);
1695   }
1696   if (ctx->verbose > 1) {ierr = PetscPrintf(ctx->comm,", %D sub (vector) threads\n",ctx->subThreadBlockSize);CHKERRQ(ierr);}
1697   else {ierr = PetscPrintf(ctx->comm,"\n");CHKERRQ(ierr);}
1698   PetscFunctionReturn(0);
1699 }
1700 
1701 static PetscErrorCode destroy_coloring (void *is)
1702 {
1703   ISColoring tmp = (ISColoring)is;
1704   return ISColoringDestroy(&tmp);
1705 }
1706 
1707 /*@
1708  LandauCreateColoring - create a coloring and add to matrix (Landau context used just for 'print' flag, should be in DMPlex)
1709 
1710  Collective on JacP
1711 
1712  Input Parameters:
1713  +   JacP  - matrix to add coloring to
1714  -   plex - The DM
1715 
1716  Output Parameter:
1717  .   container  - Container with coloring
1718 
1719  Level: beginner
1720 
1721  .keywords: mesh
1722  .seealso: LandauCreateVelocitySpace()
1723  @*/
1724 PetscErrorCode LandauCreateColoring(Mat JacP, DM plex, PetscContainer *container)
1725 {
1726   PetscErrorCode  ierr;
1727   PetscInt        dim,cell,i,ej,nc,Nv,totDim,numGCells,cStart,cEnd;
1728   ISColoring      iscoloring = NULL;
1729   Mat             G,Q;
1730   PetscScalar     ones[128];
1731   MatColoring     mc;
1732   IS             *is;
1733   PetscInt        csize,colour,j,k;
1734   const PetscInt *indices;
1735   PetscInt       numComp[1];
1736   PetscInt       numDof[4];
1737   PetscFE        fe;
1738   DM             colordm;
1739   PetscSection   csection, section, globalSection;
1740   PetscDS        prob;
1741   LandauCtx      *ctx;
1742 
1743   PetscFunctionBegin;
1744   ierr = DMGetApplicationContext(plex, &ctx);CHKERRQ(ierr);
1745   ierr = DMGetLocalSection(plex, &section);CHKERRQ(ierr);
1746   ierr = DMGetGlobalSection(plex, &globalSection);CHKERRQ(ierr);
1747   ierr = DMGetDimension(plex, &dim);CHKERRQ(ierr);
1748   ierr = DMGetDS(plex, &prob);CHKERRQ(ierr);
1749   ierr = PetscDSGetTotalDimension(prob, &totDim);CHKERRQ(ierr);
1750   ierr = DMPlexGetHeightStratum(plex,0,&cStart,&cEnd);CHKERRQ(ierr);
1751   numGCells = cEnd - cStart;
1752   /* create cell centered DM */
1753   ierr = DMClone(plex, &colordm);CHKERRQ(ierr);
1754   ierr = PetscFECreateDefault(PetscObjectComm((PetscObject) plex), dim, 1, PETSC_FALSE, "color_", PETSC_DECIDE, &fe);CHKERRQ(ierr);
1755   ierr = PetscObjectSetName((PetscObject) fe, "color");CHKERRQ(ierr);
1756   ierr = DMSetField(colordm, 0, NULL, (PetscObject)fe);CHKERRQ(ierr);
1757   ierr = PetscFEDestroy(&fe);CHKERRQ(ierr);
1758   for (i = 0; i < (dim+1); ++i) numDof[i] = 0;
1759   numDof[dim] = 1;
1760   numComp[0] = 1;
1761   ierr = DMPlexCreateSection(colordm, NULL, numComp, numDof, 0, NULL, NULL, NULL, NULL, &csection);CHKERRQ(ierr);
1762   ierr = PetscSectionSetFieldName(csection, 0, "color");CHKERRQ(ierr);
1763   ierr = DMSetLocalSection(colordm, csection);CHKERRQ(ierr);
1764   ierr = DMViewFromOptions(colordm,NULL,"-color_dm_view");CHKERRQ(ierr);
1765   /* get vertex to element map Q and colroing graph G */
1766   ierr = MatGetSize(JacP,NULL,&Nv);CHKERRQ(ierr);
1767   ierr = MatCreateAIJ(PETSC_COMM_SELF,PETSC_DECIDE,PETSC_DECIDE,numGCells,Nv,totDim,NULL,0,NULL,&Q);CHKERRQ(ierr);
1768   for (i=0;i<128;i++) ones[i] = 1.0;
1769   for (cell = cStart, ej = 0 ; cell < cEnd; ++cell, ++ej) {
1770     PetscInt numindices,*indices;
1771     ierr = DMPlexGetClosureIndices(plex, section, globalSection, cell, PETSC_TRUE, &numindices, &indices, NULL, NULL);CHKERRQ(ierr);
1772     if (numindices>128) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "too many indices. %D > %D",numindices,128);
1773     ierr = MatSetValues(Q,1,&ej,numindices,indices,ones,ADD_VALUES);CHKERRQ(ierr);
1774     ierr = DMPlexRestoreClosureIndices(plex, section, globalSection, cell, PETSC_TRUE, &numindices, &indices, NULL, NULL);CHKERRQ(ierr);
1775   }
1776   ierr = MatAssemblyBegin(Q, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1777   ierr = MatAssemblyEnd(Q, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1778   ierr = MatMatTransposeMult(Q,Q,MAT_INITIAL_MATRIX,4.0,&G);CHKERRQ(ierr);
1779   ierr = PetscObjectSetName((PetscObject) Q, "Q");CHKERRQ(ierr);
1780   ierr = PetscObjectSetName((PetscObject) G, "coloring graph");CHKERRQ(ierr);
1781   ierr = MatViewFromOptions(G,NULL,"-coloring_mat_view");CHKERRQ(ierr);
1782   ierr = MatViewFromOptions(Q,NULL,"-coloring_mat_view");CHKERRQ(ierr);
1783   ierr = MatDestroy(&Q);CHKERRQ(ierr);
1784   /* coloring */
1785   ierr = MatColoringCreate(G,&mc);CHKERRQ(ierr);
1786   ierr = MatColoringSetDistance(mc,1);CHKERRQ(ierr);
1787   ierr = MatColoringSetType(mc,MATCOLORINGJP);CHKERRQ(ierr);
1788   ierr = MatColoringSetFromOptions(mc);CHKERRQ(ierr);
1789   ierr = MatColoringApply(mc,&iscoloring);CHKERRQ(ierr);
1790   ierr = MatColoringDestroy(&mc);CHKERRQ(ierr);
1791   /* view */
1792   ierr = ISColoringViewFromOptions(iscoloring,NULL,"-coloring_is_view");CHKERRQ(ierr);
1793   ierr = ISColoringGetIS(iscoloring,PETSC_USE_POINTER,&nc,&is);CHKERRQ(ierr);
1794   if (ctx && ctx->verbose > 2) {
1795     PetscViewer    viewer;
1796     Vec            color_vec, eidx_vec;
1797     ierr = DMGetGlobalVector(colordm, &color_vec);CHKERRQ(ierr);
1798     ierr = DMGetGlobalVector(colordm, &eidx_vec);CHKERRQ(ierr);
1799     for (colour=0; colour<nc; colour++) {
1800       ierr = ISGetLocalSize(is[colour],&csize);CHKERRQ(ierr);
1801       ierr = ISGetIndices(is[colour],&indices);CHKERRQ(ierr);
1802       for (j=0; j<csize; j++) {
1803         PetscScalar v = (PetscScalar)colour;
1804         k = indices[j];
1805         ierr = VecSetValues(color_vec,1,&k,&v,INSERT_VALUES);
1806         v = (PetscScalar)k;
1807         ierr = VecSetValues(eidx_vec,1,&k,&v,INSERT_VALUES);
1808       }
1809       ierr = ISRestoreIndices(is[colour],&indices);CHKERRQ(ierr);
1810     }
1811     /* view */
1812     ierr = PetscViewerVTKOpen(ctx->comm, "color.vtu", FILE_MODE_WRITE, &viewer);CHKERRQ(ierr);
1813     ierr = PetscObjectSetName((PetscObject) color_vec, "color");CHKERRQ(ierr);
1814     ierr = VecView(color_vec, viewer);CHKERRQ(ierr);
1815     ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
1816     ierr = PetscViewerVTKOpen(ctx->comm, "eidx.vtu", FILE_MODE_WRITE, &viewer);CHKERRQ(ierr);
1817     ierr = PetscObjectSetName((PetscObject) eidx_vec, "element-idx");CHKERRQ(ierr);
1818     ierr = VecView(eidx_vec, viewer);CHKERRQ(ierr);
1819     ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
1820     ierr = DMRestoreGlobalVector(colordm, &color_vec);CHKERRQ(ierr);
1821     ierr = DMRestoreGlobalVector(colordm, &eidx_vec);CHKERRQ(ierr);
1822   }
1823   ierr = PetscSectionDestroy(&csection);CHKERRQ(ierr);
1824   ierr = DMDestroy(&colordm);CHKERRQ(ierr);
1825   ierr = ISColoringRestoreIS(iscoloring,PETSC_USE_POINTER,&is);CHKERRQ(ierr);
1826   ierr = MatDestroy(&G);CHKERRQ(ierr);
1827   /* stash coloring */
1828   ierr = PetscContainerCreate(PETSC_COMM_SELF, container);CHKERRQ(ierr);
1829   ierr = PetscContainerSetPointer(*container,(void*)iscoloring);CHKERRQ(ierr);
1830   ierr = PetscContainerSetUserDestroy(*container, destroy_coloring);CHKERRQ(ierr);
1831   ierr = PetscObjectCompose((PetscObject)JacP,"coloring",(PetscObject)*container);CHKERRQ(ierr);
1832   if (ctx && ctx->verbose > 0) {
1833     ierr = PetscPrintf(ctx->comm, "Made coloring with %D colors\n", nc);CHKERRQ(ierr);
1834   }
1835   PetscFunctionReturn(0);
1836 }
1837 
1838 PetscErrorCode LandauAssembleOpenMP(PetscInt cStart, PetscInt cEnd, PetscInt totDim, DM plex, PetscSection section, PetscSection globalSection, Mat JacP, PetscScalar elemMats[], PetscContainer container)
1839 {
1840   PetscErrorCode  ierr;
1841   IS             *is;
1842   PetscInt        nc,colour,j;
1843   const PetscInt *clr_idxs;
1844   ISColoring      iscoloring;
1845   PetscFunctionBegin;
1846   ierr = PetscContainerGetPointer(container,(void**)&iscoloring);CHKERRQ(ierr);
1847   ierr = ISColoringGetIS(iscoloring,PETSC_USE_POINTER,&nc,&is);CHKERRQ(ierr);
1848   for (colour=0; colour<nc; colour++) {
1849     PetscInt    *idx_arr[1024]; /* need to make dynamic for general use */
1850     PetscScalar *new_el_mats[1024];
1851     PetscInt     idx_size[1024],csize;
1852     ierr = ISGetLocalSize(is[colour],&csize);CHKERRQ(ierr);
1853     if (csize>1024) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "too many elements in color. %D > %D",csize,1024);
1854     ierr = ISGetIndices(is[colour],&clr_idxs);CHKERRQ(ierr);
1855     /* get indices and mats */
1856     for (j=0; j<csize; j++) {
1857       PetscInt    cell = cStart + clr_idxs[j];
1858       PetscInt    numindices,*indices;
1859       PetscScalar *elMat = &elemMats[clr_idxs[j]*totDim*totDim];
1860       PetscScalar *valuesOrig = elMat;
1861       ierr = DMPlexGetClosureIndices(plex, section, globalSection, cell, PETSC_TRUE, &numindices, &indices, NULL, (PetscScalar **) &elMat);CHKERRQ(ierr);
1862       idx_size[j] = numindices;
1863       ierr = PetscMalloc2(numindices,&idx_arr[j],numindices*numindices,&new_el_mats[j]);CHKERRQ(ierr);
1864       ierr = PetscMemcpy(idx_arr[j],indices,numindices*sizeof(PetscInt));CHKERRQ(ierr);
1865       ierr = PetscMemcpy(new_el_mats[j],elMat,numindices*numindices*sizeof(PetscScalar));CHKERRQ(ierr);
1866       ierr = DMPlexRestoreClosureIndices(plex, section, globalSection, cell, PETSC_TRUE, &numindices, &indices, NULL, (PetscScalar **) &elMat);CHKERRQ(ierr);
1867       if (elMat != valuesOrig) {ierr = DMRestoreWorkArray(plex, numindices*numindices, MPIU_SCALAR, &elMat);}
1868     }
1869     /* assemble matrix */
1870     for (j=0; j<csize; j++) {
1871       PetscInt    numindices = idx_size[j], *indices = idx_arr[j];
1872       PetscScalar *elMat = new_el_mats[j];
1873       MatSetValues(JacP,numindices,indices,numindices,indices,elMat,ADD_VALUES);
1874     }
1875     /* free */
1876     ierr = ISRestoreIndices(is[colour],&clr_idxs);CHKERRQ(ierr);
1877     for (j=0; j<csize; j++) {
1878       ierr = PetscFree2(idx_arr[j],new_el_mats[j]);CHKERRQ(ierr);
1879     }
1880   }
1881   ierr = ISColoringRestoreIS(iscoloring,PETSC_USE_POINTER,&is);CHKERRQ(ierr);
1882   PetscFunctionReturn(0);
1883 }
1884 
1885 /* < v, u > */
1886 static void g0_1(PetscInt dim, PetscInt Nf, PetscInt NfAux,
1887                  const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
1888                  const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
1889                  PetscReal t, PetscReal u_tShift, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar g0[])
1890 {
1891   g0[0] = 1.;
1892 }
1893 
1894 /* < v, u > */
1895 static void g0_r(PetscInt dim, PetscInt Nf, PetscInt NfAux,
1896                  const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
1897                  const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
1898                  PetscReal t, PetscReal u_tShift, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar g0[])
1899 {
1900   g0[0] = 2.*PETSC_PI*x[0];
1901 }
1902 
1903 /*@
1904  LandauCreateMassMatrix - Create mass matrix for Landau
1905 
1906  Collective on dm
1907 
1908  Input Parameters:
1909  . dm     - the DM object
1910 
1911  Output Parameters:
1912  . Amat - The mass matrix (optional), mass matrix is added to the DM context
1913 
1914  Level: beginner
1915 
1916  .keywords: mesh
1917  .seealso: LandauCreateVelocitySpace()
1918  @*/
1919 PetscErrorCode LandauCreateMassMatrix(DM dm, Mat *Amat)
1920 {
1921   DM             massDM;
1922   PetscDS        prob;
1923   PetscInt       ii,dim,N1=1,N2;
1924   PetscErrorCode ierr;
1925   LandauCtx      *ctx;
1926   Mat            M;
1927 
1928   PetscFunctionBegin;
1929   PetscValidHeaderSpecific(dm,DM_CLASSID,1);
1930   if (Amat) PetscValidPointer(Amat,3);
1931   ierr = DMGetApplicationContext(dm, &ctx);CHKERRQ(ierr);
1932   if (!ctx) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "no context");
1933   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
1934   ierr = DMClone(dm, &massDM);CHKERRQ(ierr);
1935   ierr = DMCopyFields(dm, massDM);CHKERRQ(ierr);
1936   ierr = DMCreateDS(massDM);CHKERRQ(ierr);
1937   ierr = DMGetDS(massDM, &prob);CHKERRQ(ierr);
1938   for (ii=0;ii<ctx->num_species;ii++) {
1939     if (dim==3) {ierr = PetscDSSetJacobian(prob, ii, ii, g0_1, NULL, NULL, NULL);CHKERRQ(ierr);}
1940     else        {ierr = PetscDSSetJacobian(prob, ii, ii, g0_r, NULL, NULL, NULL);CHKERRQ(ierr);}
1941   }
1942   ierr = DMViewFromOptions(massDM,NULL,"-dm_landau_mass_dm_view");CHKERRQ(ierr);
1943   ierr = DMCreateMatrix(massDM, &M);CHKERRQ(ierr);
1944   ierr = MatSetOption(M, MAT_IGNORE_ZERO_ENTRIES, PETSC_TRUE);CHKERRQ(ierr);
1945   {
1946     Vec locX;
1947     DM  plex;
1948     ierr = DMConvert(massDM, DMPLEX, &plex);CHKERRQ(ierr);
1949     ierr = DMGetLocalVector(massDM, &locX);CHKERRQ(ierr);
1950     /* Mass matrix is independent of the input, so no need to fill locX */
1951     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);
1952     ierr = DMPlexSNESComputeJacobianFEM(plex, locX, M, M, ctx);CHKERRQ(ierr);
1953     ierr = DMRestoreLocalVector(massDM, &locX);CHKERRQ(ierr);
1954     ierr = DMDestroy(&plex);CHKERRQ(ierr);
1955   }
1956   ierr = DMDestroy(&massDM);CHKERRQ(ierr);
1957   ierr = MatGetSize(ctx->J, &N1, NULL);CHKERRQ(ierr);
1958   ierr = MatGetSize(M, &N2, NULL);CHKERRQ(ierr);
1959   if (N1 != N2) SETERRQ2(PetscObjectComm((PetscObject) dm), PETSC_ERR_PLIB, "Incorrect matrix sizes: |Jacobian| = %D, |Mass|=%D",N1,N2);
1960   ierr = PetscObjectSetName((PetscObject)M, "mass");CHKERRQ(ierr);
1961   ierr = MatViewFromOptions(M,NULL,"-dm_landau_mass_mat_view");CHKERRQ(ierr);
1962   ctx->M = M; /* this could be a noop, a = a */
1963   if (Amat) *Amat = M;
1964   PetscFunctionReturn(0);
1965 }
1966 
1967 /*@
1968  LandauIFunction - TS residual calculation
1969 
1970  Collective on ts
1971 
1972  Input Parameters:
1973  +   TS  - The time stepping context
1974  .   time_dummy - current time (not used)
1975  -   X - Current state
1976  +   X_t - Time derivative of current state
1977  .   actx - Landau context
1978 
1979  Output Parameter:
1980  .   F  - The residual
1981 
1982  Level: beginner
1983 
1984  .keywords: mesh
1985  .seealso: LandauCreateVelocitySpace(), LandauIJacobian()
1986  @*/
1987 PetscErrorCode LandauIFunction(TS ts, PetscReal time_dummy, Vec X, Vec X_t, Vec F, void *actx)
1988 {
1989   PetscErrorCode ierr;
1990   LandauCtx      *ctx=(LandauCtx*)actx;
1991   PetscInt       dim;
1992   DM             dm;
1993 #if defined(PETSC_HAVE_THREADSAFETY)
1994   double         starttime, endtime;
1995 #endif
1996 
1997   PetscFunctionBegin;
1998   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1999   ierr = DMGetApplicationContext(dm, &ctx);CHKERRQ(ierr);
2000   if (!ctx) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "no context");
2001   //ierr = MPI_Barrier(MPI_COMM_WORLD);CHKERRMPI(ierr);
2002   ierr = PetscLogEventBegin(ctx->events[11],0,0,0,0);CHKERRQ(ierr);
2003   ierr = PetscLogEventBegin(ctx->events[0],0,0,0,0);CHKERRQ(ierr);
2004 #if defined(PETSC_HAVE_THREADSAFETY)
2005   starttime = MPI_Wtime();
2006 #endif
2007   ierr = DMGetDimension(ctx->dmv, &dim);CHKERRQ(ierr);
2008   if (!ctx->aux_bool) {
2009     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);
2010     ierr = LandauFormJacobian_Internal(X,ctx->J,dim,0.0,(void*)ctx);CHKERRQ(ierr);
2011     ctx->aux_bool = PETSC_TRUE;
2012   } else {
2013     ierr = PetscInfo(ts, "Skip forming Jacobian, has not changed (should check norm)\n");CHKERRQ(ierr);
2014   }
2015   ierr = MatViewFromOptions(ctx->J,NULL,"-landau_jacobian_mat_view");CHKERRQ(ierr);
2016   /* mat vec for op */
2017   ierr = MatMult(ctx->J,X,F);CHKERRQ(ierr);CHKERRQ(ierr); /* C*f */
2018   /* add time term */
2019   if (X_t) {
2020     ierr = MatMultAdd(ctx->M,X_t,F,F);CHKERRQ(ierr);
2021   }
2022 #if defined(PETSC_HAVE_THREADSAFETY)
2023   endtime = MPI_Wtime();
2024   ctx->times[0] += (endtime - starttime);
2025 #endif
2026   ierr = PetscLogEventEnd(ctx->events[0],0,0,0,0);CHKERRQ(ierr);
2027   ierr = PetscLogEventEnd(ctx->events[11],0,0,0,0);CHKERRQ(ierr);
2028   PetscFunctionReturn(0);
2029 }
2030 static PetscErrorCode MatrixNfDestroy(void *ptr)
2031 {
2032   PetscInt *nf = (PetscInt *)ptr;
2033   PetscErrorCode  ierr;
2034   PetscFunctionBegin;
2035   ierr = PetscFree(nf);CHKERRQ(ierr);
2036   PetscFunctionReturn(0);
2037 }
2038 /*@
2039  LandauIJacobian - TS Jacobian construction
2040 
2041  Collective on ts
2042 
2043  Input Parameters:
2044  +   TS  - The time stepping context
2045  .   time_dummy - current time (not used)
2046  -   X - Current state
2047  +   U_tdummy - Time derivative of current state (not used)
2048  .   shift - shift for du/dt term
2049  -   actx - Landau context
2050 
2051  Output Parameter:
2052  .   Amat  - Jacobian
2053  +   Pmat  - same as Amat
2054 
2055  Level: beginner
2056 
2057  .keywords: mesh
2058  .seealso: LandauCreateVelocitySpace(), LandauIFunction()
2059  @*/
2060 PetscErrorCode LandauIJacobian(TS ts, PetscReal time_dummy, Vec X, Vec U_tdummy, PetscReal shift, Mat Amat, Mat Pmat, void *actx)
2061 {
2062   PetscErrorCode ierr;
2063   LandauCtx      *ctx=(LandauCtx*)actx;
2064   PetscInt       dim;
2065   DM             dm;
2066   PetscContainer container;
2067 #if defined(PETSC_HAVE_THREADSAFETY)
2068   double         starttime, endtime;
2069 #endif
2070 
2071   PetscFunctionBegin;
2072   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2073   ierr = DMGetApplicationContext(dm, &ctx);CHKERRQ(ierr);
2074   if (!ctx) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "no context");
2075   if (Amat!=Pmat || Amat!=ctx->J) SETERRQ(ctx->comm, PETSC_ERR_PLIB, "Amat!=Pmat || Amat!=ctx->J");
2076   ierr = DMGetDimension(ctx->dmv, &dim);CHKERRQ(ierr);
2077   /* get collision Jacobian into A */
2078   ierr = PetscLogEventBegin(ctx->events[11],0,0,0,0);CHKERRQ(ierr);
2079   ierr = PetscLogEventBegin(ctx->events[9],0,0,0,0);CHKERRQ(ierr);
2080 #if defined(PETSC_HAVE_THREADSAFETY)
2081   starttime = MPI_Wtime();
2082 #endif
2083   ierr = PetscInfo2(ts, "Adding just mass to Jacobian t=%g, shift=%g\n",(double)time_dummy,(double)shift);CHKERRQ(ierr);
2084   if (shift==0.0) SETERRQ(ctx->comm, PETSC_ERR_PLIB, "zero shift");
2085   if (!ctx->aux_bool) SETERRQ(ctx->comm, PETSC_ERR_PLIB, "wrong state");
2086   if (!ctx->use_matrix_mass) {
2087     ierr = LandauFormJacobian_Internal(X,ctx->J,dim,shift,(void*)ctx);CHKERRQ(ierr);
2088   } else { /* add mass */
2089     ierr = MatAXPY(Pmat,shift,ctx->M,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
2090   }
2091   ctx->aux_bool = PETSC_FALSE;
2092   ierr = MatViewFromOptions(Pmat,NULL,"-landau_mat_view");CHKERRQ(ierr);
2093   /* set number species in Jacobian */
2094   ierr = PetscObjectQuery((PetscObject) ctx->J, "Nf", (PetscObject *) &container);CHKERRQ(ierr);
2095   if (!container) {
2096     PetscInt *pNf;
2097     ierr = PetscContainerCreate(PETSC_COMM_SELF, &container);CHKERRQ(ierr);
2098     ierr = PetscMalloc(sizeof(PetscInt), &pNf);CHKERRQ(ierr);
2099     *pNf = ctx->num_species + 1000*ctx->numConcurrency;
2100     ierr = PetscContainerSetPointer(container, (void *)pNf);CHKERRQ(ierr);
2101     ierr = PetscContainerSetUserDestroy(container, MatrixNfDestroy);CHKERRQ(ierr);
2102     ierr = PetscObjectCompose((PetscObject)ctx->J, "Nf", (PetscObject) container);CHKERRQ(ierr);
2103     ierr = PetscContainerDestroy(&container);CHKERRQ(ierr);
2104   }
2105 #if defined(PETSC_HAVE_THREADSAFETY)
2106   endtime = MPI_Wtime();
2107   ctx->times[0] += (endtime - starttime);
2108 #endif
2109   ierr = PetscLogEventEnd(ctx->events[9],0,0,0,0);CHKERRQ(ierr);
2110   ierr = PetscLogEventEnd(ctx->events[11],0,0,0,0);CHKERRQ(ierr);
2111   PetscFunctionReturn(0);
2112 }
2113