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_kernel.h" 10 11 #define LANDAU_VL 1 12 static PetscErrorCode LandauPointDataCreate(PetscReal **IPData, PetscInt dim, PetscInt nip, PetscInt Ns) 13 { 14 PetscErrorCode ierr, d, s, jj, nip_pad = LANDAU_VL*(nip/LANDAU_VL + !!(nip%LANDAU_VL)), pnt_sz = (dim + Ns*(1+dim)); 15 PetscReal *pdata; 16 PetscFunctionBegin; 17 ierr = PetscMalloc(nip_pad*pnt_sz*sizeof(PetscReal),IPData);CHKERRQ(ierr); 18 /* pad with zeros in case we vectorize into this */ 19 for (jj=nip, pdata = *IPData + nip*pnt_sz; jj < nip_pad; jj++, pdata += pnt_sz){ 20 LandauPointData *fplpt = (LandauPointData*)pdata; /* [dim + NS*(1+dim)] */ 21 for (d=0;d<dim;d++) fplpt->crd[d] = -1; 22 for (s=0;s<Ns;s++) { 23 fplpt->fdf[s].f = 0; 24 for (d=0;d<dim;d++) fplpt->fdf[s].df[d] = 0; 25 } 26 } 27 PetscFunctionReturn(0); 28 } 29 30 static PetscErrorCode LandauPointDataDestroy(PetscReal *IPData) 31 { 32 PetscErrorCode ierr; 33 PetscFunctionBegin; 34 ierr = PetscFree(IPData);CHKERRQ(ierr); 35 PetscFunctionReturn(0); 36 } 37 /* ------------------------------------------------------------------- */ 38 /* 39 LandauFormJacobian_Internal - Evaluates Jacobian matrix. 40 41 Input Parameters: 42 . globX - input vector 43 . actx - optional user-defined context 44 . dim - dimension 45 46 Output Parameters: 47 . J0acP - Jacobian matrix filled, not created 48 */ 49 PetscErrorCode LandauFormJacobian_Internal(Vec a_X, Mat JacP, const PetscInt dim, void *a_ctx) 50 { 51 LandauCtx *ctx = (LandauCtx*)a_ctx; 52 PetscErrorCode ierr; 53 PetscInt cStart, cEnd, elemMatSize; 54 DM plex = NULL; 55 PetscDS prob; 56 PetscSection section,globsection; 57 PetscScalar *elemMat; 58 PetscInt numCells,totDim,ej,Nq,*Nbf,*Ncf,Nb,Ncx,Nf,d,f,fieldA,Nip,nip_pad,ipdata_sz; 59 PetscQuadrature quad; 60 PetscTabulation *Tf; 61 PetscReal *wiGlob, nu_alpha[LANDAU_MAX_SPECIES], nu_beta[LANDAU_MAX_SPECIES]; 62 const PetscReal *quadWeights; 63 PetscReal *IPData,*invJ,*invJ_a; 64 PetscReal invMass[LANDAU_MAX_SPECIES],Eq_m[LANDAU_MAX_SPECIES],m_0=ctx->m_0; /* normalize mass -- not needed! */ 65 PetscLogDouble flops; 66 Vec locX; 67 68 PetscFunctionBegin; 69 PetscValidHeaderSpecific(a_X,VEC_CLASSID,1); 70 PetscValidHeaderSpecific(JacP,MAT_CLASSID,2); 71 PetscValidPointer(ctx,4); 72 73 ierr = PetscLogEventBegin(ctx->events[1],0,0,0,0);CHKERRQ(ierr); 74 ierr = DMConvert(ctx->dmv, DMPLEX, &plex);CHKERRQ(ierr); 75 ierr = DMCreateLocalVector(plex, &locX);CHKERRQ(ierr); 76 ierr = VecZeroEntries(locX);CHKERRQ(ierr); /* zero BCs so don't set */ 77 ierr = DMGlobalToLocalBegin(plex, a_X, INSERT_VALUES, locX);CHKERRQ(ierr); 78 ierr = DMGlobalToLocalEnd (plex, a_X, INSERT_VALUES, locX);CHKERRQ(ierr); 79 ierr = DMPlexGetHeightStratum(plex, 0, &cStart, &cEnd);CHKERRQ(ierr); 80 ierr = DMGetLocalSection(plex, §ion);CHKERRQ(ierr); 81 ierr = DMGetGlobalSection(plex, &globsection);CHKERRQ(ierr); 82 ierr = DMGetDS(plex, &prob);CHKERRQ(ierr); 83 ierr = PetscDSGetTabulation(prob, &Tf);CHKERRQ(ierr); // Bf, &Df 84 ierr = PetscDSGetDimensions(prob, &Nbf);CHKERRQ(ierr); Nb = Nbf[0]; /* number of vertices*S */ 85 ierr = PetscSectionGetNumFields(section, &Nf);CHKERRQ(ierr); if (Nf!=ctx->num_species) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Nf %D != S",Nf); 86 ierr = PetscDSGetComponents(prob, &Ncf);CHKERRQ(ierr); Ncx = Ncf[0]; if (Ncx!=1) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Nc %D != 1",Ncx); 87 for (fieldA=0;fieldA<Nf;fieldA++) { 88 invMass[fieldA] = m_0/ctx->masses[fieldA]; 89 Eq_m[fieldA] = -ctx->Ez * ctx->t_0 * ctx->charges[fieldA] / (ctx->v_0 * ctx->masses[fieldA]); /* normalize dimensionless */ 90 if (dim==2) Eq_m[fieldA] *= 2 * PETSC_PI; /* add the 2pi term that is not in Landau */ 91 nu_alpha[fieldA] = PetscSqr(ctx->charges[fieldA]/m_0)*m_0/ctx->masses[fieldA]; 92 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); 93 } 94 ierr = PetscDSGetTotalDimension(prob, &totDim);CHKERRQ(ierr); 95 numCells = cEnd - cStart; 96 ierr = PetscFEGetQuadrature(ctx->fe[0], &quad);CHKERRQ(ierr); 97 ierr = PetscQuadratureGetData(quad, NULL, NULL, &Nq, NULL, &quadWeights);CHKERRQ(ierr); 98 if (Nb!=Nq) SETERRQ4(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Nb!=Nq %D %D over integration or simplices? Tf[0]->Nb=%D dim=%D",Nb,Nq,Tf[0]->Nb,dim); 99 if (Nq >LANDAU_MAX_NQ) SETERRQ2(PETSC_COMM_WORLD,PETSC_ERR_ARG_WRONG,"Order too high. Nq = %D > LANDAU_MAX_NQ (%D)",Nq,LANDAU_MAX_NQ); 100 Nip = numCells*Nq; 101 nip_pad = LANDAU_VL*(Nip/LANDAU_VL + !!(Nip%LANDAU_VL)); 102 flops = (PetscLogDouble)numCells*(PetscLogDouble)Nq*(PetscLogDouble)(5*dim*dim*Nf*Nf + 165); 103 ierr = MatZeroEntries(JacP);CHKERRQ(ierr); 104 elemMatSize = totDim*totDim; 105 { 106 static int cc = 0; 107 PetscScalar uu[LANDAU_MAX_SPECIES],u_x[LANDAU_MAX_SPECIES*LANDAU_DIM]; 108 /* collect f data */ 109 if (ctx->verbose > 2 || (ctx->verbose > 0 && cc++ == 0)) { 110 PetscInt N,Nloc; 111 ierr = MatGetSize(JacP,&N,NULL);CHKERRQ(ierr); 112 ierr = VecGetSize(locX,&Nloc);CHKERRQ(ierr); 113 ierr = PetscPrintf(PETSC_COMM_WORLD,"[%D]%s: %D IPs, %D cells, %s elements, totDim=%D, Nb=%D, Nq=%D, elemMatSize=%D, dim=%D, Tab: Nb=%D Nf=%D Np=%D cdim=%D N=%D N_loc=%D\n", 114 0,"FormLandau",Nq*numCells,numCells,ctx->simplex ? "SIMPLEX" : "TENSOR", totDim, Nb, Nq, elemMatSize, dim, Tf[0]->Nb, Nf, Tf[0]->Np, Tf[0]->cdim, N, Nloc);CHKERRQ(ierr); 115 } 116 ierr = LandauPointDataCreate(&IPData, dim, Nq*numCells, Nf);CHKERRQ(ierr); 117 ipdata_sz = (dim + Nf*(1+dim)); 118 ierr = PetscMalloc3(elemMatSize,&elemMat,nip_pad,&wiGlob,nip_pad*dim*dim,&invJ_a);CHKERRQ(ierr); 119 /* cache geometry and x, f and df/dx at IPs */ 120 for (ej = 0, invJ = invJ_a ; ej < numCells; ++ej, invJ += Nq*dim*dim) { 121 PetscReal vj[LANDAU_MAX_NQ*LANDAU_DIM],detJj[LANDAU_MAX_NQ], Jdummy[LANDAU_MAX_NQ*LANDAU_DIM*LANDAU_DIM]; 122 PetscInt qj,f; 123 PetscScalar *coef = NULL; 124 ierr = DMPlexComputeCellGeometryFEM(plex, cStart+ej, quad, vj, Jdummy, invJ, detJj);CHKERRQ(ierr); 125 ierr = DMPlexVecGetClosure(plex, section, locX, cStart+ej, NULL, &coef);CHKERRQ(ierr); 126 /* create point data for cell i for Landau tensor: x, f(x), grad f(x) */ 127 for (qj = 0; qj < Nq; ++qj) { 128 PetscInt gidx = (ej*Nq + qj); 129 LandauPointData *pnt_data = (LandauPointData*)(IPData + gidx*ipdata_sz); 130 PetscScalar refSpaceDer[LANDAU_DIM]; 131 PetscInt dOffset = 0, fOffset = 0; 132 for (d = 0; d < dim; ++d) pnt_data->crd[d] = vj[qj * dim + d]; /* coordinate */ 133 wiGlob[gidx] = detJj[qj] * quadWeights[qj]; 134 if (dim==2) wiGlob[gidx] *= pnt_data->crd[0]; /* cylindrical coordinate, w/o 2pi */ 135 /* get u & du (EvaluateFieldJets) */ 136 for (f = 0; f < Nf; ++f) { 137 const PetscReal *Bq = &Tf[f]->T[0][qj*Nb]; 138 const PetscReal *Dq = &Tf[f]->T[1][qj*Nb*dim]; 139 PetscInt b, e; 140 uu[fOffset] = 0.0; 141 for (d = 0; d < LANDAU_DIM; ++d) refSpaceDer[d] = 0.0; 142 for (b = 0; b < Nb; ++b) { 143 const PetscInt cidx = b; 144 uu[fOffset] += Bq[cidx]*coef[dOffset+cidx]; 145 for (d = 0; d < dim; ++d) refSpaceDer[d] += Dq[cidx*dim+d]*coef[dOffset+cidx]; 146 } 147 for (d = 0; d < dim; ++d) { 148 for (e = 0, u_x[fOffset*dim+d] = 0.0; e < dim; ++e) { // should add directly to point data here!!! 149 u_x[fOffset*dim+d] += invJ[qj * dim * dim + e*dim+d]*refSpaceDer[e]; 150 } 151 } 152 fOffset += 1; 153 dOffset += Nb; 154 } 155 /* copy to IPDataLocal */ 156 for (f=0;f<Nf;f++) { 157 pnt_data->fdf[f].f = PetscRealPart(uu[f]); 158 for (d = 0; d < dim; ++d) pnt_data->fdf[f].df[d] = PetscRealPart(u_x[f*dim+d]); 159 } 160 } /* q */ 161 ierr = DMPlexVecRestoreClosure(plex, section, locX, cStart+ej, NULL, &coef);CHKERRQ(ierr); 162 } /* e */ 163 } 164 ierr = DMRestoreLocalVector(plex, &locX);CHKERRQ(ierr); 165 ierr = PetscLogEventEnd(ctx->events[1],0,0,0,0);CHKERRQ(ierr); 166 167 /* outer element loop j is like a regular assembly loop */ 168 if (ctx->deviceType == LANDAU_CUDA) { 169 #if defined(PETSC_HAVE_CUDA) 170 ierr = LandauCUDAJacobian(plex,Nq,nu_alpha,nu_beta,invMass,Eq_m,IPData,wiGlob,invJ_a,ctx->subThreadBlockSize,ctx->events,ctx->quarter3DDomain,JacP);CHKERRQ(ierr); 171 #else 172 SETERRQ1(PETSC_COMM_WORLD,PETSC_ERR_ARG_WRONG,"-landau_device_type %s not built","cuda"); 173 #endif 174 } else if (ctx->deviceType == LANDAU_KOKKOS) { 175 #if defined(PETSC_HAVE_KOKKOS) 176 ierr = LandauKokkosJacobian(plex,Nq,nu_alpha,nu_beta,invMass,Eq_m,IPData,wiGlob,invJ_a,ctx->subThreadBlockSize,ctx->events,ctx->quarter3DDomain,JacP);CHKERRQ(ierr); 177 #else 178 SETERRQ1(PETSC_COMM_WORLD,PETSC_ERR_ARG_WRONG,"-landau_device_type %s not built","kokkos"); 179 #endif 180 } else { /* CPU version */ 181 for (ej = cStart, invJ = invJ_a; ej < cEnd; ++ej, invJ += Nq*dim*dim) { 182 PetscInt qj; 183 ierr = PetscLogEventBegin(ctx->events[3],0,0,0,0);CHKERRQ(ierr); 184 ierr = PetscMemzero(elemMat, totDim *totDim * sizeof(PetscScalar));CHKERRQ(ierr); 185 ierr = PetscLogEventEnd(ctx->events[3],0,0,0,0);CHKERRQ(ierr); 186 for (qj = 0; qj < Nq; ++qj) { 187 PetscReal g2[1][LANDAU_MAX_SUB_THREAD_BLOCKS][LANDAU_MAX_SPECIES][LANDAU_DIM], g3[1][LANDAU_MAX_SUB_THREAD_BLOCKS][LANDAU_MAX_SPECIES][LANDAU_DIM][LANDAU_DIM]; 188 const PetscInt nip = numCells*Nq, jpidx = Nq*(ej-cStart) + qj, one = 1, zero = 0; /* length of inner global interation, outer integration point */ 189 190 ierr = PetscLogEventBegin(ctx->events[4],0,0,0,0);CHKERRQ(ierr); 191 ierr = PetscLogFlops(flops);CHKERRQ(ierr); 192 landau_inner_integral(zero, one, zero, one, zero, nip, 1, jpidx, Nf, dim, IPData, wiGlob, &invJ[qj*dim*dim], nu_alpha, nu_beta, invMass, Eq_m, ctx->quarter3DDomain, Nq, Nb, qj, qj+1, Tf[0]->T[0], Tf[0]->T[1], elemMat, g2, g3, ej); 193 ierr = PetscLogEventEnd(ctx->events[4],0,0,0,0);CHKERRQ(ierr); 194 } /* qj loop */ 195 /* assemble matrix */ 196 ierr = PetscLogEventBegin(ctx->events[6],0,0,0,0);CHKERRQ(ierr); 197 ierr = DMPlexMatSetClosure(plex, section, globsection, JacP, ej, elemMat, ADD_VALUES);CHKERRQ(ierr); 198 ierr = PetscLogEventEnd(ctx->events[6],0,0,0,0);CHKERRQ(ierr); 199 200 if (ej==-1) { 201 ierr = PetscPrintf(PETSC_COMM_SELF, "CPU Element matrix\n");CHKERRQ(ierr); 202 for (d = 0; d < totDim; ++d){ 203 for (f = 0; f < totDim; ++f) PetscPrintf(PETSC_COMM_SELF," %17.9e", PetscRealPart(elemMat[d*totDim + f])); 204 PetscPrintf(PETSC_COMM_SELF,"\n");CHKERRQ(ierr); 205 } 206 } 207 } /* ej cells loop, not cuda */ 208 } 209 // PetscSleep(2); exit(13); 210 211 /* assemble matrix or vector */ 212 ierr = PetscLogEventBegin(ctx->events[7],0,0,0,0);CHKERRQ(ierr); 213 ierr = MatAssemblyBegin(JacP, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 214 ierr = MatAssemblyEnd(JacP, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 215 ierr = MatScale(JacP, -1.0);CHKERRQ(ierr); /* The code reflect the papers: du/dt = C, whereas PETSc use the form G(u) = du/dt - C(u) = 0 */ 216 ierr = PetscLogEventEnd(ctx->events[7],0,0,0,0);CHKERRQ(ierr); 217 218 /* clean up */ 219 ierr = PetscFree3(elemMat,wiGlob,invJ_a);CHKERRQ(ierr); 220 ierr = DMDestroy(&plex);CHKERRQ(ierr); 221 ierr = LandauPointDataDestroy(IPData);CHKERRQ(ierr); 222 PetscFunctionReturn(0); 223 } 224 225 #if defined(LANDAU_ADD_BCS) 226 static void zero_bc(PetscInt dim, PetscInt Nf, PetscInt NfAux, 227 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 228 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 229 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar uexact[]) 230 { 231 uexact[0] = 0; 232 } 233 #endif 234 235 #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]; }} 236 static void CircleInflate(PetscReal r1, PetscReal r2, PetscReal r0, PetscInt num_sections, PetscReal x, PetscReal y, 237 PetscReal *outX, PetscReal *outY) 238 { 239 PetscReal rr = PetscSqrtReal(x*x + y*y), outfact, efact; 240 if (rr < r1 + PETSC_SQRT_MACHINE_EPSILON) { 241 *outX = x; *outY = y; 242 } else { 243 const PetscReal xy[2] = {x,y}, sinphi=y/rr, cosphi=x/rr; 244 PetscReal cth,sth,xyprime[2],Rth[2][2],rotcos,newrr; 245 if (num_sections==2) { 246 rotcos = 0.70710678118654; 247 outfact = 1.5; efact = 2.5; 248 /* rotate normalized vector into [-pi/4,pi/4) */ 249 if (sinphi >= 0.) { /* top cell, -pi/2 */ 250 cth = 0.707106781186548; sth = -0.707106781186548; 251 } else { /* bottom cell -pi/8 */ 252 cth = 0.707106781186548; sth = .707106781186548; 253 } 254 } else if (num_sections==3) { 255 rotcos = 0.86602540378443; 256 outfact = 1.5; efact = 2.5; 257 /* rotate normalized vector into [-pi/6,pi/6) */ 258 if (sinphi >= 0.5) { /* top cell, -pi/3 */ 259 cth = 0.5; sth = -0.866025403784439; 260 } else if (sinphi >= -.5) { /* mid cell 0 */ 261 cth = 1.; sth = .0; 262 } else { /* bottom cell +pi/3 */ 263 cth = 0.5; sth = 0.866025403784439; 264 } 265 } else if (num_sections==4) { 266 rotcos = 0.9238795325112; 267 outfact = 1.5; efact = 3; 268 /* rotate normalized vector into [-pi/8,pi/8) */ 269 if (sinphi >= 0.707106781186548) { /* top cell, -3pi/8 */ 270 cth = 0.38268343236509; sth = -0.923879532511287; 271 } else if (sinphi >= 0.) { /* mid top cell -pi/8 */ 272 cth = 0.923879532511287; sth = -.38268343236509; 273 } else if (sinphi >= -0.707106781186548) { /* mid bottom cell + pi/8 */ 274 cth = 0.923879532511287; sth = 0.38268343236509; 275 } else { /* bottom cell + 3pi/8 */ 276 cth = 0.38268343236509; sth = .923879532511287; 277 } 278 } else { 279 cth = 0.; sth = 0.; rotcos = 0; efact = 0; 280 } 281 Rth[0][0] = cth; Rth[0][1] =-sth; 282 Rth[1][0] = sth; Rth[1][1] = cth; 283 MATVEC2(Rth,xy,xyprime); 284 if (num_sections==2) { 285 newrr = xyprime[0]/rotcos; 286 } else { 287 PetscReal newcosphi=xyprime[0]/rr, rin = r1, rout = rr - rin; 288 PetscReal routmax = r0*rotcos/newcosphi - rin, nroutmax = r0 - rin, routfrac = rout/routmax; 289 newrr = rin + routfrac*nroutmax; 290 } 291 *outX = cosphi*newrr; *outY = sinphi*newrr; 292 /* grade */ 293 PetscReal fact,tt,rs,re, rr = PetscSqrtReal(PetscSqr(*outX) + PetscSqr(*outY)); 294 if (rr > r2) { rs = r2; re = r0; fact = outfact;} /* outer zone */ 295 else { rs = r1; re = r2; fact = efact;} /* electron zone */ 296 tt = (rs + PetscPowReal((rr - rs)/(re - rs),fact) * (re-rs)) / rr; 297 *outX *= tt; 298 *outY *= tt; 299 } 300 } 301 302 static PetscErrorCode GeometryDMLandau(DM base, PetscInt point, PetscInt dim, const PetscReal abc[], PetscReal xyz[], void *a_ctx) 303 { 304 LandauCtx *ctx = (LandauCtx*)a_ctx; 305 PetscReal r = abc[0], z = abc[1]; 306 if (ctx->inflate) { 307 PetscReal absR, absZ; 308 absR = PetscAbsReal(r); 309 absZ = PetscAbsReal(z); 310 CircleInflate(ctx->i_radius,ctx->e_radius,ctx->radius,ctx->num_sections,absR,absZ,&absR,&absZ); 311 r = (r > 0) ? absR : -absR; 312 z = (z > 0) ? absZ : -absZ; 313 } 314 xyz[0] = r; 315 xyz[1] = z; 316 if (dim==3) xyz[2] = abc[2]; 317 318 PetscFunctionReturn(0); 319 } 320 321 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) 322 { 323 PetscReal err = 0.0; 324 PetscInt f = *(PetscInt*)actx, j; 325 PetscFunctionBegin; 326 for (j = 0; j < dim; ++j) { 327 err += PetscSqr(PetscRealPart(u_x[f*dim+j])); 328 } 329 err = PetscRealPart(u[f]); /* just use rho */ 330 *error = volume * err; /* * (ctx->axisymmetric ? 2.*PETSC_PI * r : 1); */ 331 PetscFunctionReturn(0); 332 } 333 334 static PetscErrorCode LandauDMCreateVMesh(MPI_Comm comm, const PetscInt dim, const char prefix[], LandauCtx *ctx, DM *dm) 335 { 336 PetscErrorCode ierr; 337 PetscReal radius = ctx->radius; 338 size_t len; 339 char fname[128] = ""; /* we can add a file if we want */ 340 341 PetscFunctionBegin; 342 /* create DM */ 343 ierr = PetscStrlen(fname, &len);CHKERRQ(ierr); 344 if (len) { 345 PetscInt dim2; 346 ierr = DMPlexCreateFromFile(comm, fname, ctx->interpolate, dm);CHKERRQ(ierr); 347 ierr = DMGetDimension(*dm, &dim2);CHKERRQ(ierr); 348 } else { /* p4est, quads */ 349 /* Create plex mesh of Landau domain */ 350 if (!ctx->sphere) { 351 PetscInt cells[] = {2,2,2}; 352 PetscReal lo[] = {-radius,-radius,-radius}, hi[] = {radius,radius,radius}; 353 DMBoundaryType periodicity[3] = {DM_BOUNDARY_NONE, dim==2 ? DM_BOUNDARY_NONE : DM_BOUNDARY_NONE, DM_BOUNDARY_NONE}; 354 if (dim==2) { lo[0] = 0; cells[0] = 1; } 355 else if (ctx->quarter3DDomain) { lo[0] = lo[1] = 0; cells[0] = cells[1] = 2; } 356 ierr = DMPlexCreateBoxMesh(comm, dim, PETSC_FALSE, cells, lo, hi, periodicity, PETSC_TRUE, dm);CHKERRQ(ierr); 357 ierr = DMLocalizeCoordinates(*dm);CHKERRQ(ierr); /* needed for periodic */ 358 if (dim==3) {ierr = PetscObjectSetName((PetscObject) *dm, "cube");CHKERRQ(ierr);} 359 else {ierr = PetscObjectSetName((PetscObject) *dm, "half-plane");CHKERRQ(ierr);} 360 } else if (dim==2) { 361 PetscInt numCells,cells[16][4],i,j; 362 PetscInt numVerts; 363 PetscReal inner_radius1 = ctx->i_radius, inner_radius2 = ctx->e_radius; 364 PetscReal *flatCoords = NULL; 365 PetscInt *flatCells = NULL, *pcell; 366 if (ctx->num_sections==2) { 367 #if 1 368 numCells = 5; 369 numVerts = 10; 370 int cells2[][4] = { {0,1,4,3}, 371 {1,2,5,4}, 372 {3,4,7,6}, 373 {4,5,8,7}, 374 {6,7,8,9} }; 375 for (i = 0; i < numCells; i++) for (j = 0; j < 4; j++) cells[i][j] = cells2[i][j]; 376 ierr = PetscMalloc2(numVerts * 2, &flatCoords, numCells * 4, &flatCells);CHKERRQ(ierr); 377 { 378 PetscReal (*coords)[2] = (PetscReal (*) [2]) flatCoords; 379 for (j = 0; j < numVerts-1; j++) { 380 PetscReal z, r, theta = -PETSC_PI/2 + (j%3) * PETSC_PI/2; 381 PetscReal rad = (j >= 6) ? inner_radius1 : (j >= 3) ? inner_radius2 : ctx->radius; 382 z = rad * PetscSinReal(theta); 383 coords[j][1] = z; 384 r = rad * PetscCosReal(theta); 385 coords[j][0] = r; 386 } 387 coords[numVerts-1][0] = coords[numVerts-1][1] = 0; 388 } 389 #else 390 numCells = 4; 391 numVerts = 8; 392 static int cells2[][4] = {{0,1,2,3}, 393 {4,5,1,0}, 394 {5,6,2,1}, 395 {6,7,3,2}}; 396 for (i = 0; i < numCells; i++) for (j = 0; j < 4; j++) cells[i][j] = cells2[i][j]; 397 ierr = PetscMalloc2(numVerts * 2, &flatCoords, numCells * 4, &flatCells);CHKERRQ(ierr); 398 { 399 PetscReal (*coords)[2] = (PetscReal (*) [2]) flatCoords; 400 PetscInt j; 401 for (j = 0; j < 8; j++) { 402 PetscReal z, r; 403 PetscReal theta = -PETSC_PI/2 + (j%4) * PETSC_PI/3.; 404 PetscReal rad = ctx->radius * ((j < 4) ? 0.5 : 1.0); 405 z = rad * PetscSinReal(theta); 406 coords[j][1] = z; 407 r = rad * PetscCosReal(theta); 408 coords[j][0] = r; 409 } 410 } 411 #endif 412 } else if (ctx->num_sections==3) { 413 numCells = 7; 414 numVerts = 12; 415 int cells2[][4] = { {0,1,5,4}, 416 {1,2,6,5}, 417 {2,3,7,6}, 418 {4,5,9,8}, 419 {5,6,10,9}, 420 {6,7,11,10}, 421 {8,9,10,11} }; 422 for (i = 0; i < numCells; i++) for (j = 0; j < 4; j++) cells[i][j] = cells2[i][j]; 423 ierr = PetscMalloc2(numVerts * 2, &flatCoords, numCells * 4, &flatCells);CHKERRQ(ierr); 424 { 425 PetscReal (*coords)[2] = (PetscReal (*) [2]) flatCoords; 426 for (j = 0; j < numVerts; j++) { 427 PetscReal z, r, theta = -PETSC_PI/2 + (j%4) * PETSC_PI/3; 428 PetscReal rad = (j >= 8) ? inner_radius1 : (j >= 4) ? inner_radius2 : ctx->radius; 429 z = rad * PetscSinReal(theta); 430 coords[j][1] = z; 431 r = rad * PetscCosReal(theta); 432 coords[j][0] = r; 433 } 434 } 435 } else if (ctx->num_sections==4) { 436 numCells = 10; 437 numVerts = 16; 438 int cells2[][4] = { {0,1,6,5}, 439 {1,2,7,6}, 440 {2,3,8,7}, 441 {3,4,9,8}, 442 {5,6,11,10}, 443 {6,7,12,11}, 444 {7,8,13,12}, 445 {8,9,14,13}, 446 {10,11,12,15}, 447 {12,13,14,15}}; 448 for (i = 0; i < numCells; i++) for (j = 0; j < 4; j++) cells[i][j] = cells2[i][j]; 449 ierr = PetscMalloc2(numVerts * 2, &flatCoords, numCells * 4, &flatCells);CHKERRQ(ierr); 450 { 451 PetscReal (*coords)[2] = (PetscReal (*) [2]) flatCoords; 452 for (j = 0; j < numVerts-1; j++) { 453 PetscReal z, r, theta = -PETSC_PI/2 + (j%5) * PETSC_PI/4; 454 PetscReal rad = (j >= 10) ? inner_radius1 : (j >= 5) ? inner_radius2 : ctx->radius; 455 z = rad * PetscSinReal(theta); 456 coords[j][1] = z; 457 r = rad * PetscCosReal(theta); 458 coords[j][0] = r; 459 } 460 coords[numVerts-1][0] = coords[numVerts-1][1] = 0; 461 } 462 } else { 463 numCells = 0; 464 numVerts = 0; 465 } 466 for (j = 0, pcell = flatCells; j < numCells; j++, pcell += 4) { 467 pcell[0] = cells[j][0]; pcell[1] = cells[j][1]; 468 pcell[2] = cells[j][2]; pcell[3] = cells[j][3]; 469 } 470 ierr = DMPlexCreateFromCellListPetsc(comm,2,numCells,numVerts,4,ctx->interpolate,flatCells,2,flatCoords,dm);CHKERRQ(ierr); 471 ierr = PetscFree2(flatCoords,flatCells);CHKERRQ(ierr); 472 ierr = PetscObjectSetName((PetscObject) *dm, "semi-circle");CHKERRQ(ierr); 473 } else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Velocity space meshes does not support cubed sphere"); 474 } 475 ierr = PetscObjectSetOptionsPrefix((PetscObject)*dm,prefix);CHKERRQ(ierr); 476 477 ierr = DMSetFromOptions(*dm);CHKERRQ(ierr); /* Plex refine */ 478 479 { /* p4est? */ 480 char convType[256]; 481 PetscBool flg; 482 ierr = PetscOptionsBegin(PETSC_COMM_WORLD, prefix, "Mesh conversion options", "DMPLEX");CHKERRQ(ierr); 483 ierr = PetscOptionsFList("-dm_landau_type","Convert DMPlex to another format (should not be Plex!)","ex6f.c",DMList,DMPLEX,convType,256,&flg);CHKERRQ(ierr); 484 ierr = PetscOptionsEnd(); 485 if (flg) { 486 DM dmforest; 487 ierr = DMConvert(*dm,convType,&dmforest);CHKERRQ(ierr); 488 if (dmforest) { 489 PetscBool isForest; 490 ierr = PetscObjectSetOptionsPrefix((PetscObject)dmforest,prefix);CHKERRQ(ierr); 491 ierr = DMIsForest(dmforest,&isForest);CHKERRQ(ierr); 492 if (isForest) { 493 if (ctx->sphere && ctx->inflate) { 494 ierr = DMForestSetBaseCoordinateMapping(dmforest,GeometryDMLandau,ctx);CHKERRQ(ierr); 495 } 496 ierr = DMDestroy(dm);CHKERRQ(ierr); 497 *dm = dmforest; 498 ctx->errorIndicator = ErrorIndicator_Simple; /* flag for Forest */ 499 } else SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_USER, "Converted to non Forest?"); 500 } else SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_USER, "Convert failed?"); 501 } 502 } 503 ierr = PetscObjectSetName((PetscObject) *dm, "Mesh");CHKERRQ(ierr); 504 PetscFunctionReturn(0); 505 } 506 507 static PetscErrorCode SetupDS(DM dm, PetscInt dim, LandauCtx *ctx) 508 { 509 PetscErrorCode ierr; 510 PetscInt ii; 511 PetscFunctionBegin; 512 for (ii=0;ii<ctx->num_species;ii++) { 513 char buf[256]; 514 if (ii==0) ierr = PetscSNPrintf(buf, 256, "e"); 515 else {ierr = PetscSNPrintf(buf, 256, "i%D", ii);CHKERRQ(ierr);} 516 /* Setup Discretization - FEM */ 517 ierr = PetscFECreateDefault(PetscObjectComm((PetscObject) dm), dim, 1, ctx->simplex, NULL, PETSC_DECIDE, &ctx->fe[ii]);CHKERRQ(ierr); 518 ierr = PetscObjectSetName((PetscObject) ctx->fe[ii], buf);CHKERRQ(ierr); 519 ierr = DMSetField(dm, ii, NULL, (PetscObject) ctx->fe[ii]);CHKERRQ(ierr); 520 } 521 ierr = DMCreateDS(dm);CHKERRQ(ierr); 522 if (1) { 523 PetscInt ii; 524 PetscSection section; 525 ierr = DMGetSection(dm, §ion);CHKERRQ(ierr); 526 for (ii=0;ii<ctx->num_species;ii++){ 527 char buf[256]; 528 if (ii==0) ierr = PetscSNPrintf(buf, 256, "se"); 529 else ierr = PetscSNPrintf(buf, 256, "si%D", ii); 530 ierr = PetscSectionSetComponentName(section, ii, 0, buf);CHKERRQ(ierr); 531 } 532 } 533 PetscFunctionReturn(0); 534 } 535 536 /* Define a Maxwellian function for testing out the operator. */ 537 538 /* Using cartesian velocity space coordinates, the particle */ 539 /* density, [1/m^3], is defined according to */ 540 541 /* $$ n=\int_{R^3} dv^3 \left(\frac{m}{2\pi T}\right)^{3/2}\exp [- mv^2/(2T)] $$ */ 542 543 /* Using some constant, c, we normalize the velocity vector into a */ 544 /* dimensionless variable according to v=c*x. Thus the density, $n$, becomes */ 545 546 /* $$ n=\int_{R^3} dx^3 \left(\frac{mc^2}{2\pi T}\right)^{3/2}\exp [- mc^2/(2T)*x^2] $$ */ 547 548 /* Defining $\theta=2T/mc^2$, we thus find that the probability density */ 549 /* for finding the particle within the interval in a box dx^3 around x is */ 550 551 /* f(x;\theta)=\left(\frac{1}{\pi\theta}\right)^{3/2} \exp [ -x^2/\theta ] */ 552 553 typedef struct { 554 LandauCtx *ctx; 555 PetscReal kT_m; 556 PetscReal n; 557 PetscReal shift; 558 } MaxwellianCtx; 559 560 static PetscErrorCode maxwellian(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf_dummy, PetscScalar *u, void *actx) 561 { 562 MaxwellianCtx *mctx = (MaxwellianCtx*)actx; 563 LandauCtx *ctx = mctx->ctx; 564 PetscInt i; 565 PetscReal v2 = 0, theta = 2*mctx->kT_m/(ctx->v_0*ctx->v_0); /* theta = 2kT/mc^2 */ 566 PetscFunctionBegin; 567 /* compute the exponents, v^2 */ 568 for (i = 0; i < dim; ++i) v2 += x[i]*x[i]; 569 /* evaluate the Maxwellian */ 570 u[0] = mctx->n*PetscPowReal(PETSC_PI*theta,-1.5)*(PetscExpReal(-v2/theta)); 571 if (mctx->shift!=0.) { 572 v2 = 0; 573 for (i = 0; i < dim-1; ++i) v2 += x[i]*x[i]; 574 v2 += (x[dim-1]-mctx->shift)*(x[dim-1]-mctx->shift); 575 /* evaluate the shifted Maxwellian */ 576 u[0] += mctx->n*PetscPowReal(PETSC_PI*theta,-1.5)*(PetscExpReal(-v2/theta)); 577 } 578 PetscFunctionReturn(0); 579 } 580 581 /*@ 582 LandauAddMaxwellians - Add a Maxwellian distribution to a state 583 584 Collective on X 585 586 Input Parameters: 587 . dm - The mesh 588 + time - Current time 589 - temps - Temperatures of each species 590 . ns - Number density of each species 591 + actx - Landau context 592 593 Output Parameter: 594 . X - The state 595 596 .keywords: mesh 597 .seealso: LandauCreateVelocitySpace() 598 @*/ 599 PetscErrorCode LandauAddMaxwellians(DM dm, Vec X, PetscReal time, PetscReal temps[], PetscReal ns[], void *actx) 600 { 601 LandauCtx *ctx = (LandauCtx*)actx; 602 PetscErrorCode (*initu[LANDAU_MAX_SPECIES])(PetscInt, PetscReal, const PetscReal [], PetscInt, PetscScalar [], void *); 603 PetscErrorCode ierr,ii; 604 PetscInt dim; 605 MaxwellianCtx *mctxs[LANDAU_MAX_SPECIES], data[LANDAU_MAX_SPECIES]; 606 607 PetscFunctionBegin; 608 ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr); 609 if (!ctx) { ierr = DMGetApplicationContext(dm, &ctx);CHKERRQ(ierr); } 610 for (ii=0;ii<ctx->num_species;ii++) { 611 mctxs[ii] = &data[ii]; 612 data[ii].ctx = ctx; 613 data[ii].kT_m = ctx->k*temps[ii]/ctx->masses[ii]; /* kT/m */ 614 data[ii].n = ns[ii]; 615 initu[ii] = maxwellian; 616 data[ii].shift = 0; 617 } 618 data[0].shift = ctx->electronShift; 619 /* need to make ADD_ALL_VALUES work - TODO */ 620 ierr = DMProjectFunction(dm, time, initu, (void**)mctxs, INSERT_ALL_VALUES, X);CHKERRQ(ierr); 621 PetscFunctionReturn(0); 622 } 623 624 /* 625 LandauSetInitialCondition - Addes Maxwellians with context 626 627 Collective on X 628 629 Input Parameters: 630 . dm - The mesh 631 + actx - Landau context with T and n 632 633 Output Parameter: 634 . X - The state 635 636 Level: beginner 637 638 .keywords: mesh 639 .seealso: LandauCreateVelocitySpace(), LandauAddMaxwellians() 640 */ 641 static PetscErrorCode LandauSetInitialCondition(DM dm, Vec X, void *actx) 642 { 643 LandauCtx *ctx = (LandauCtx*)actx; 644 PetscErrorCode ierr; 645 PetscFunctionBegin; 646 if (!ctx) { ierr = DMGetApplicationContext(dm, &ctx);CHKERRQ(ierr); } 647 ierr = VecZeroEntries(X);CHKERRQ(ierr); 648 ierr = LandauAddMaxwellians(dm, X, 0.0, ctx->thermal_temps, ctx->n, ctx);CHKERRQ(ierr); 649 PetscFunctionReturn(0); 650 } 651 652 static PetscErrorCode adaptToleranceFEM(PetscFE fem, Vec sol, PetscReal refineTol[], PetscReal coarsenTol[], PetscInt type, LandauCtx *ctx, DM *newDM) 653 { 654 DM dm, plex, adaptedDM = NULL; 655 PetscDS prob; 656 PetscBool isForest; 657 PetscQuadrature quad; 658 PetscInt Nq, *Nb, cStart, cEnd, c, dim, qj, k; 659 DMLabel adaptLabel = NULL; 660 PetscErrorCode ierr; 661 662 PetscFunctionBegin; 663 ierr = VecGetDM(sol, &dm);CHKERRQ(ierr); 664 ierr = DMCreateDS(dm);CHKERRQ(ierr); 665 ierr = DMGetDS(dm, &prob);CHKERRQ(ierr); 666 ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr); 667 ierr = DMIsForest(dm, &isForest);CHKERRQ(ierr); 668 ierr = DMConvert(dm, DMPLEX, &plex);CHKERRQ(ierr); 669 ierr = DMPlexGetHeightStratum(plex,0,&cStart,&cEnd);CHKERRQ(ierr); 670 ierr = DMLabelCreate(PETSC_COMM_SELF,"adapt",&adaptLabel);CHKERRQ(ierr); 671 ierr = PetscFEGetQuadrature(fem, &quad);CHKERRQ(ierr); 672 ierr = PetscQuadratureGetData(quad, NULL, NULL, &Nq, NULL, NULL);CHKERRQ(ierr); 673 if (Nq >LANDAU_MAX_NQ) SETERRQ2(PETSC_COMM_WORLD,PETSC_ERR_ARG_WRONG,"Order too high. Nq = %D > LANDAU_MAX_NQ (%D)",Nq,LANDAU_MAX_NQ); 674 ierr = PetscDSGetDimensions(prob, &Nb);CHKERRQ(ierr); 675 if (type==4) { 676 for (c = cStart; c < cEnd; c++) { 677 ierr = DMLabelSetValue(adaptLabel, c, DM_ADAPT_REFINE);CHKERRQ(ierr); 678 } 679 ierr = PetscInfo1(sol, "Phase:%s: Uniform refinement\n","adaptToleranceFEM"); 680 } else if (type==2) { 681 PetscInt rCellIdx[8], eCellIdx[64], iCellIdx[64], eMaxIdx = -1, iMaxIdx = -1, nr = 0, nrmax = (dim==3 && !ctx->quarter3DDomain) ? 8 : 2; 682 PetscReal minRad = PETSC_INFINITY, r, eMinRad = PETSC_INFINITY, iMinRad = PETSC_INFINITY; 683 for (c = 0; c < 64; c++) { eCellIdx[c] = iCellIdx[c] = -1; } 684 for (c = cStart; c < cEnd; c++) { 685 PetscReal tt, v0[LANDAU_MAX_NQ*3], detJ[LANDAU_MAX_NQ]; 686 ierr = DMPlexComputeCellGeometryFEM(plex, c, quad, v0, NULL, NULL, detJ);CHKERRQ(ierr); 687 for (qj = 0; qj < Nq; ++qj) { 688 tt = PetscSqr(v0[dim*qj+0]) + PetscSqr(v0[dim*qj+1]) + PetscSqr(((dim==3) ? v0[dim*qj+2] : 0)); 689 r = PetscSqrtReal(tt); 690 if (r < minRad - PETSC_SQRT_MACHINE_EPSILON*10.) { 691 minRad = r; 692 nr = 0; 693 rCellIdx[nr++]= c; 694 ierr = PetscInfo4(sol, "\t\tPhase: adaptToleranceFEM Found first inner r=%e, cell %D, qp %D/%D\n", r, c, qj+1, Nq);CHKERRQ(ierr); 695 } else if ((r-minRad) < PETSC_SQRT_MACHINE_EPSILON*100. && nr < nrmax) { 696 for (k=0;k<nr;k++) if (c == rCellIdx[k]) break; 697 if (k==nr) { 698 rCellIdx[nr++]= c; 699 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); 700 } 701 } 702 if (ctx->sphere) { 703 if ((tt=r-ctx->e_radius) > 0) { 704 PetscInfo2(sol, "\t\t\t %D cell r=%g\n",c,tt); 705 if (tt < eMinRad - PETSC_SQRT_MACHINE_EPSILON*100.) { 706 eMinRad = tt; 707 eMaxIdx = 0; 708 eCellIdx[eMaxIdx++] = c; 709 } else if (eMaxIdx > 0 && (tt-eMinRad) <= PETSC_SQRT_MACHINE_EPSILON && c != eCellIdx[eMaxIdx-1]) { 710 eCellIdx[eMaxIdx++] = c; 711 } 712 } 713 if ((tt=r-ctx->i_radius) > 0) { 714 if (tt < iMinRad - 1.e-5) { 715 iMinRad = tt; 716 iMaxIdx = 0; 717 iCellIdx[iMaxIdx++] = c; 718 } else if (iMaxIdx > 0 && (tt-iMinRad) <= PETSC_SQRT_MACHINE_EPSILON && c != iCellIdx[iMaxIdx-1]) { 719 iCellIdx[iMaxIdx++] = c; 720 } 721 } 722 } 723 } 724 } 725 for (k=0;k<nr;k++) { 726 ierr = DMLabelSetValue(adaptLabel, rCellIdx[k], DM_ADAPT_REFINE);CHKERRQ(ierr); 727 } 728 if (ctx->sphere) { 729 for (c = 0; c < eMaxIdx; c++) { 730 ierr = DMLabelSetValue(adaptLabel, eCellIdx[c], DM_ADAPT_REFINE);CHKERRQ(ierr); 731 ierr = PetscInfo3(sol, "\t\tPhase:%s: refine sphere e cell %D r=%g\n","adaptToleranceFEM",eCellIdx[c],eMinRad); 732 } 733 for (c = 0; c < iMaxIdx; c++) { 734 ierr = DMLabelSetValue(adaptLabel, iCellIdx[c], DM_ADAPT_REFINE);CHKERRQ(ierr); 735 ierr = PetscInfo3(sol, "\t\tPhase:%s: refine sphere i cell %D r=%g\n","adaptToleranceFEM",iCellIdx[c],iMinRad); 736 } 737 } 738 ierr = PetscInfo4(sol, "Phase:%s: Adaptive refine origin cells %D,%D r=%g\n","adaptToleranceFEM",rCellIdx[0],rCellIdx[1],minRad); 739 } else if (type==0 || type==1 || type==3) { /* refine along r=0 axis */ 740 PetscScalar *coef = NULL; 741 Vec coords; 742 PetscInt csize,Nv,d,nz; 743 DM cdm; 744 PetscSection cs; 745 ierr = DMGetCoordinatesLocal(dm, &coords);CHKERRQ(ierr); 746 ierr = DMGetCoordinateDM(dm, &cdm);CHKERRQ(ierr); 747 ierr = DMGetLocalSection(cdm, &cs);CHKERRQ(ierr); 748 for (c = cStart; c < cEnd; c++) { 749 PetscInt doit = 0, outside = 0; 750 ierr = DMPlexVecGetClosure(cdm, cs, coords, c, &csize, &coef);CHKERRQ(ierr); 751 Nv = csize/dim; 752 for (nz = d = 0; d < Nv; d++) { 753 PetscReal z = PetscRealPart(coef[d*dim + (dim-1)]), x = PetscSqr(PetscRealPart(coef[d*dim + 0])) + ((dim==3) ? PetscSqr(PetscRealPart(coef[d*dim + 1])) : 0); 754 x = PetscSqrtReal(x); 755 if (x < PETSC_MACHINE_EPSILON*10. && PetscAbsReal(z)<PETSC_MACHINE_EPSILON*10.) doit = 1; /* refine origin */ 756 else if (type==0 && (z < -PETSC_MACHINE_EPSILON*10. || z > ctx->re_radius+PETSC_MACHINE_EPSILON*10.)) outside++; /* first pass don't refine bottom */ 757 else if (type==1 && (z > ctx->vperp0_radius1 || z < -ctx->vperp0_radius1)) outside++; /* don't refine outside electron refine radius */ 758 else if (type==3 && (z > ctx->vperp0_radius2 || z < -ctx->vperp0_radius2)) outside++; /* don't refine outside ion refine radius */ 759 if (x < PETSC_MACHINE_EPSILON*10.) nz++; 760 } 761 ierr = DMPlexVecRestoreClosure(cdm, cs, coords, c, &csize, &coef);CHKERRQ(ierr); 762 if (doit || (outside<Nv && nz)) { 763 ierr = DMLabelSetValue(adaptLabel, c, DM_ADAPT_REFINE);CHKERRQ(ierr); 764 } 765 } 766 ierr = PetscInfo1(sol, "Phase:%s: RE refinement\n","adaptToleranceFEM"); 767 } 768 /* ierr = VecDestroy(&locX);CHKERRQ(ierr); */ 769 ierr = DMDestroy(&plex);CHKERRQ(ierr); 770 ierr = DMAdaptLabel(dm, adaptLabel, &adaptedDM);CHKERRQ(ierr); 771 ierr = DMLabelDestroy(&adaptLabel);CHKERRQ(ierr); 772 *newDM = adaptedDM; 773 if (adaptedDM) { 774 if (isForest) { 775 ierr = DMForestSetAdaptivityForest(adaptedDM,NULL);CHKERRQ(ierr); 776 } 777 ierr = DMConvert(adaptedDM, DMPLEX, &plex);CHKERRQ(ierr); 778 ierr = DMPlexGetHeightStratum(plex,0,&cStart,&cEnd);CHKERRQ(ierr); 779 ierr = PetscInfo2(sol, "\tPhase: adaptToleranceFEM: %D cells, %d total quadrature points\n",cEnd-cStart,Nq*(cEnd-cStart));CHKERRQ(ierr); 780 ierr = DMDestroy(&plex);CHKERRQ(ierr); 781 } 782 PetscFunctionReturn(0); 783 } 784 785 static PetscErrorCode adapt(DM *dm, LandauCtx *ctx, Vec *uu) 786 { 787 PetscErrorCode ierr; 788 PetscInt type, limits[5] = {ctx->numRERefine,ctx->nZRefine1,ctx->maxRefIts,ctx->nZRefine2,ctx->postAMRRefine}; 789 PetscInt adaptIter; 790 791 PetscFunctionBegin; 792 for (type=0;type<5;type++) { 793 for (adaptIter = 0; adaptIter<limits[type];adaptIter++) { 794 DM dmNew = NULL; 795 ierr = adaptToleranceFEM(ctx->fe[0], *uu, ctx->refineTol, ctx->coarsenTol, type, ctx, &dmNew);CHKERRQ(ierr); 796 if (!dmNew) { 797 exit(113); 798 break; 799 } else { 800 ierr = DMDestroy(dm);CHKERRQ(ierr); 801 ierr = VecDestroy(uu);CHKERRQ(ierr); 802 ierr = DMCreateGlobalVector(dmNew,uu);CHKERRQ(ierr); 803 ierr = PetscObjectSetName((PetscObject) *uu, "u");CHKERRQ(ierr); 804 ierr = LandauSetInitialCondition(dmNew, *uu, ctx);CHKERRQ(ierr); 805 *dm = dmNew; 806 } 807 } 808 } 809 PetscFunctionReturn(0); 810 } 811 812 static PetscErrorCode ProcessOptions(LandauCtx *ctx, const char prefix[]) 813 { 814 PetscErrorCode ierr; 815 PetscBool flg, sph_flg; 816 PetscInt ii,nt,nm,nc; 817 DM dummy; 818 819 PetscFunctionBegin; 820 ierr = DMCreate(PETSC_COMM_WORLD,&dummy);CHKERRQ(ierr); 821 /* get options - initialize context */ 822 ctx->normJ = 0; 823 ctx->verbose = 1; 824 ctx->interpolate = PETSC_TRUE; 825 ctx->simplex = PETSC_FALSE; 826 ctx->sphere = PETSC_FALSE; 827 ctx->inflate = PETSC_FALSE; 828 ctx->electronShift = 0; 829 ctx->errorIndicator = NULL; 830 ctx->radius = 5.; /* electron thermal radius (velocity) */ 831 ctx->re_radius = 0.; 832 ctx->vperp0_radius1 = 0; 833 ctx->vperp0_radius2 = 0; 834 ctx->e_radius = .1; 835 ctx->i_radius = .01; 836 ctx->maxRefIts = 5; 837 ctx->postAMRRefine = 0; 838 ctx->nZRefine1 = 0; 839 ctx->nZRefine2 = 0; 840 ctx->numRERefine = 0; 841 ctx->num_sections = 3; /* 2, 3 or 4 */ 842 /* species - [0] electrons, [1] one ion species eg, duetarium, [2] heavy impurity ion, ... */ 843 ctx->charges[0] = -1; /* electron charge (MKS) */ 844 ctx->masses[0] = 1/1835.5; /* temporary value in proton mass */ 845 ctx->n[0] = 1; 846 ctx->thermal_temps[0] = 1; 847 /* constants, etc. */ 848 ctx->epsilon0 = 8.8542e-12; /* permittivity of free space (MKS) F/m */ 849 ctx->k = 1.38064852e-23; /* Boltzmann constant (MKS) J/K */ 850 ctx->lnLam = 10; /* cross section ratio large - small angle collisions */ 851 ctx->n_0 = 1.e20; /* typical plasma n, but could set it to 1 */ 852 ctx->Ez = 0; 853 ctx->v_0 = 1; /* in electron thermal velocity */ 854 ctx->subThreadBlockSize = 1; /* for device and maybe OMP */ 855 ctx->quarter3DDomain = PETSC_FALSE; 856 ierr = PetscOptionsBegin(PETSC_COMM_WORLD, prefix, "Options for Fokker-Plank-Landau collision operator", "none");CHKERRQ(ierr); 857 { 858 char opstring[256]; 859 #if defined(PETSC_HAVE_KOKKOS) 860 ctx->deviceType = LANDAU_KOKKOS; 861 ierr = PetscStrcpy(opstring,"kokkos");CHKERRQ(ierr); 862 #if !defined(PETSC_HAVE_CUDA) 863 ctx->subThreadBlockSize = 0; 864 #endif 865 #elif defined(PETSC_HAVE_CUDA) 866 ctx->deviceType = LANDAU_CUDA; 867 ierr = PetscStrcpy(opstring,"cuda");CHKERRQ(ierr); 868 #else 869 ctx->deviceType = LANDAU_CPU; 870 ierr = PetscStrcpy(opstring,"cpu");CHKERRQ(ierr); 871 ctx->subThreadBlockSize = 0; 872 #endif 873 ierr = PetscOptionsString("-dm_landau_device_type","Use kernels on 'cpu', 'cuda', or 'kokkos'","plexland.c",opstring,opstring,256,NULL);CHKERRQ(ierr); 874 ierr = PetscStrcmp("cpu",opstring,&flg);CHKERRQ(ierr); 875 if (flg) { 876 ctx->deviceType = LANDAU_CPU; 877 ctx->subThreadBlockSize = 0; 878 } else { 879 ierr = PetscStrcmp("cuda",opstring,&flg);CHKERRQ(ierr); 880 if (flg) ctx->deviceType = LANDAU_CUDA; 881 else { 882 ierr = PetscStrcmp("kokkos",opstring,&flg);CHKERRQ(ierr); 883 if (flg) ctx->deviceType = LANDAU_KOKKOS; 884 else SETERRQ1(PETSC_COMM_WORLD,PETSC_ERR_ARG_WRONG,"-dm_landau_device_type %s",opstring); 885 } 886 } 887 } 888 ierr = PetscOptionsReal("-dm_landau_electron_shift","Shift in thermal velocity of electrons","none",ctx->electronShift,&ctx->electronShift, NULL);CHKERRQ(ierr); 889 ierr = PetscOptionsBool("-dm_landau_sphere", "use sphere/semi-circle domain instead of rectangle", "plexland.c", ctx->sphere, &ctx->sphere, &sph_flg);CHKERRQ(ierr); 890 ierr = PetscOptionsBool("-dm_landau_inflate", "With sphere, inflate for curved edges (no AMR)", "plexland.c", ctx->inflate, &ctx->inflate, NULL);CHKERRQ(ierr); 891 /* ierr = PetscOptionsBool("-dm_landau_quarter_3d_domain", "Use symmetry in 3D to model 1/4 of domain", "plexland.c", ctx->quarter3DDomain, &ctx->quarter3DDomain, NULL);CHKERRQ(ierr); */ 892 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); 893 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); 894 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); 895 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); 896 ierr = PetscOptionsInt("-dm_landau_amr_post_refine", "Number of levels to uniformly refine after AMR", "plexland.c", ctx->postAMRRefine, &ctx->postAMRRefine, NULL);CHKERRQ(ierr); 897 ierr = PetscOptionsInt("-dm_landau_verbose", "", "plexland.c", ctx->verbose, &ctx->verbose, NULL);CHKERRQ(ierr); 898 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); 899 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); 900 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); 901 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); 902 ierr = PetscOptionsReal("-dm_landau_n_0","Normalization constant for number density","plexland.c",ctx->n_0,&ctx->n_0, NULL);CHKERRQ(ierr); 903 ierr = PetscOptionsReal("-dm_landau_ln_lambda","Cross section parameter","plexland.c",ctx->lnLam,&ctx->lnLam, NULL);CHKERRQ(ierr); 904 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); 905 ctx->simplex = PETSC_FALSE; 906 /* get num species with tempurature*/ 907 { 908 PetscReal arr[100]; 909 nt = 100; 910 ierr = PetscOptionsRealArray("-dm_landau_thermal_temps", "Temperature of each species [e,i_0,i_1,...] in keV", "plexland.c", arr, &nt, &flg);CHKERRQ(ierr); 911 if (flg && nt > LANDAU_MAX_SPECIES) SETERRQ2(PETSC_COMM_WORLD,PETSC_ERR_ARG_WRONG,"-thermal_temps ,t1,t2,.. number of species %D > MAX %D",nt,LANDAU_MAX_SPECIES); 912 } 913 nt = LANDAU_MAX_SPECIES; 914 for (ii=1;ii<LANDAU_MAX_SPECIES;ii++) { 915 ctx->thermal_temps[ii] = 1.; 916 ctx->charges[ii] = 1; 917 ctx->masses[ii] = 1; 918 ctx->n[ii] = (ii==1) ? 1 : 0; 919 } 920 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); 921 if (flg) { 922 PetscInfo1(dummy, "num_species set to number of thermal temps provided (%D)\n",nt); 923 ctx->num_species = nt; 924 } else SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_ARG_WRONG,"-dm_landau_thermal_temps ,t1,t2,.. must be provided to set the number of species"); 925 for (ii=0;ii<ctx->num_species;ii++) ctx->thermal_temps[ii] *= 1.1604525e7; /* convert to Kelvin */ 926 nm = LANDAU_MAX_SPECIES-1; 927 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); 928 if (flg && nm != ctx->num_species-1) { 929 SETERRQ2(PETSC_COMM_WORLD,PETSC_ERR_ARG_WRONG,"num ion masses %D != num species %D",nm,ctx->num_species-1); 930 } 931 nm = LANDAU_MAX_SPECIES; 932 ierr = PetscOptionsRealArray("-dm_landau_n", "Normalized (by -n_0) number density of each species", "plexland.c", ctx->n, &nm, &flg);CHKERRQ(ierr); 933 if (flg && nm != ctx->num_species) SETERRQ2(PETSC_COMM_WORLD,PETSC_ERR_ARG_WRONG,"wrong num n: %D != num species %D",nm,ctx->num_species); 934 ctx->n_0 *= ctx->n[0]; /* normalized number density */ 935 for (ii=1;ii<ctx->num_species;ii++) ctx->n[ii] = ctx->n[ii]/ctx->n[0]; 936 ctx->n[0] = 1; 937 for (ii=0;ii<LANDAU_MAX_SPECIES;ii++) ctx->masses[ii] *= 1.6720e-27; /* scale by proton mass kg */ 938 ctx->masses[0] = 9.10938356e-31; /* electron mass kg (should be about right already) */ 939 ctx->m_0 = ctx->masses[0]; /* arbitrary reference mass, electrons */ 940 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); 941 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) */ 942 nc = LANDAU_MAX_SPECIES-1; 943 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); 944 if (flg && nc != ctx->num_species-1) SETERRQ2(PETSC_COMM_WORLD,PETSC_ERR_ARG_WRONG,"num charges %D != num species %D",nc,ctx->num_species-1); 945 for (ii=0;ii<LANDAU_MAX_SPECIES;ii++) ctx->charges[ii] *= 1.6022e-19; /* electron/proton charge (MKS) */ 946 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 */ 947 /* geometry */ 948 for (ii=0;ii<ctx->num_species;ii++) ctx->refineTol[ii] = PETSC_MAX_REAL; 949 for (ii=0;ii<ctx->num_species;ii++) ctx->coarsenTol[ii] = 0.; 950 ii = LANDAU_MAX_SPECIES; 951 ierr = PetscOptionsRealArray("-dm_landau_refine_tol","tolerance for refining cells in AMR","plexland.c",ctx->refineTol, &ii, &flg);CHKERRQ(ierr); 952 if (flg && ii != ctx->num_species) ierr = PetscInfo2(dummy, "Phase: Warning, #refine_tol %D != num_species %D\n",ii,ctx->num_species);CHKERRQ(ierr); 953 ii = LANDAU_MAX_SPECIES; 954 ierr = PetscOptionsRealArray("-dm_landau_coarsen_tol","tolerance for coarsening cells in AMR","plexland.c",ctx->coarsenTol, &ii, &flg);CHKERRQ(ierr); 955 if (flg && ii != ctx->num_species) ierr = PetscInfo2(dummy, "Phase: Warning, #coarsen_tol %D != num_species %D\n",ii,ctx->num_species);CHKERRQ(ierr); 956 ierr = PetscOptionsReal("-dm_landau_domain_radius","Phase space size in units of electron thermal velocity","plexland.c",ctx->radius,&ctx->radius, &flg);CHKERRQ(ierr); 957 if (flg && ctx->radius <= 0) { /* negative is ratio of c */ 958 if (ctx->radius == 0) ctx->radius = 0.75; 959 else ctx->radius = -ctx->radius; 960 ctx->radius = ctx->radius*299792458/ctx->v_0; 961 ierr = PetscInfo1(dummy, "Change domain radius to %e\n",ctx->radius);CHKERRQ(ierr); 962 } 963 ierr = PetscOptionsReal("-dm_landau_i_radius","Ion thermal velocity, used for circular meshes","plexland.c",ctx->i_radius,&ctx->i_radius, &flg);CHKERRQ(ierr); 964 if (flg && !sph_flg) ctx->sphere = PETSC_TRUE; /* you gave me an ion radius but did not set sphere, user error really */ 965 if (!flg) { 966 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 */ 967 } 968 ierr = PetscOptionsReal("-dm_landau_e_radius","Electron thermal velocity, used for circular meshes","plexland.c",ctx->e_radius,&ctx->e_radius, &flg);CHKERRQ(ierr); 969 if (flg && !sph_flg) ctx->sphere = PETSC_TRUE; /* you gave me an e radius but did not set sphere, user error really */ 970 if (!flg) { 971 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 */ 972 } 973 if (ctx->sphere && (ctx->e_radius <= ctx->i_radius || ctx->radius <= ctx->e_radius)) SETERRQ3(PETSC_COMM_WORLD,PETSC_ERR_ARG_WRONG,"bad radii: %g < %g < %g",ctx->i_radius,ctx->e_radius,ctx->radius); 974 ierr = PetscOptionsInt("-dm_landau_sub_thread_block_size", "Number of threads in CUDA integration point subblock", "plexland.c", ctx->subThreadBlockSize, &ctx->subThreadBlockSize, NULL);CHKERRQ(ierr); 975 if (ctx->subThreadBlockSize > LANDAU_MAX_SUB_THREAD_BLOCKS) SETERRQ2(PETSC_COMM_WORLD,PETSC_ERR_ARG_WRONG,"num sub threads %D > MAX %D",ctx->subThreadBlockSize,LANDAU_MAX_SUB_THREAD_BLOCKS); 976 ierr = PetscOptionsEnd();CHKERRQ(ierr); 977 for (ii=ctx->num_species;ii<LANDAU_MAX_SPECIES;ii++) ctx->masses[ii] = ctx->thermal_temps[ii] = ctx->charges[ii] = 0; 978 if (ctx->verbose > 0) { 979 ierr = PetscPrintf(PETSC_COMM_WORLD, "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); 980 ierr = PetscPrintf(PETSC_COMM_WORLD, "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); 981 ierr = PetscPrintf(PETSC_COMM_WORLD, "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); 982 } 983 ierr = DMDestroy(&dummy);CHKERRQ(ierr); 984 { 985 PetscMPIInt rank; 986 ierr = MPI_Comm_rank(PETSC_COMM_WORLD, &rank);CHKERRQ(ierr); 987 /* PetscLogStage setup_stage; */ 988 ierr = PetscLogEventRegister("Landau Operator", DM_CLASSID, &ctx->events[0]);CHKERRQ(ierr); /* 0 */ 989 ierr = PetscLogEventRegister(" Jac-vector", DM_CLASSID, &ctx->events[1]);CHKERRQ(ierr); /* 1 */ 990 ierr = PetscLogEventRegister(" Jac-kern-init", DM_CLASSID, &ctx->events[3]);CHKERRQ(ierr); /* 3 */ 991 ierr = PetscLogEventRegister(" Jac-kernel", DM_CLASSID, &ctx->events[4]);CHKERRQ(ierr); /* 4 */ 992 ierr = PetscLogEventRegister(" Jac-kernel-post", DM_CLASSID, &ctx->events[5]);CHKERRQ(ierr); /* 5 */ 993 ierr = PetscLogEventRegister(" Jac-assemble", DM_CLASSID, &ctx->events[6]);CHKERRQ(ierr); /* 6 */ 994 ierr = PetscLogEventRegister(" Jac-end", DM_CLASSID, &ctx->events[7]);CHKERRQ(ierr); /* 7 */ 995 ierr = PetscLogEventRegister(" Jac-geo-color", DM_CLASSID, &ctx->events[8]);CHKERRQ(ierr); /* 8 */ 996 ierr = PetscLogEventRegister(" Jac-cuda-sum", DM_CLASSID, &ctx->events[2]);CHKERRQ(ierr); /* 2 */ 997 ierr = PetscLogEventRegister("Landau Jacobian", DM_CLASSID, &ctx->events[9]);CHKERRQ(ierr); /* 9 */ 998 if (rank) { /* turn off output stuff for duplicate runs - do we need to add the prefix to all this? */ 999 ierr = PetscOptionsClearValue(NULL,"-snes_converged_reason");CHKERRQ(ierr); 1000 ierr = PetscOptionsClearValue(NULL,"-ksp_converged_reason");CHKERRQ(ierr); 1001 ierr = PetscOptionsClearValue(NULL,"-snes_monitor");CHKERRQ(ierr); 1002 ierr = PetscOptionsClearValue(NULL,"-ksp_monitor");CHKERRQ(ierr); 1003 ierr = PetscOptionsClearValue(NULL,"-ts_monitor");CHKERRQ(ierr); 1004 ierr = PetscOptionsClearValue(NULL,"-ts_adapt_monitor");CHKERRQ(ierr); 1005 ierr = PetscOptionsClearValue(NULL,"-dm_landau_amr_dm_view");CHKERRQ(ierr); 1006 ierr = PetscOptionsClearValue(NULL,"-dm_landau_amr_vec_view");CHKERRQ(ierr); 1007 ierr = PetscOptionsClearValue(NULL,"-dm_landau_pre_dm_view");CHKERRQ(ierr); 1008 ierr = PetscOptionsClearValue(NULL,"-dm_landau_pre_vec_view");CHKERRQ(ierr); 1009 ierr = PetscOptionsClearValue(NULL,"-info");CHKERRQ(ierr); 1010 } 1011 } 1012 PetscFunctionReturn(0); 1013 } 1014 1015 /*@C 1016 LandauCreateVelocitySpace - Create a DMPlex velocity space mesh 1017 1018 Collective on comm 1019 1020 Input Parameters: 1021 + comm - The MPI communicator 1022 . dim - velocity space dimension (2 for axisymmetric, 3 for full 3X + 3V solver) 1023 - prefix - prefix for options 1024 1025 Output Parameter: 1026 . dm - The DM object representing the mesh 1027 + X - A vector (user destroys) 1028 - J - Optional matrix (object destroys) 1029 1030 Level: beginner 1031 1032 .keywords: mesh 1033 .seealso: DMPlexCreate(), LandauDestroyVelocitySpace() 1034 @*/ 1035 PetscErrorCode LandauCreateVelocitySpace(MPI_Comm comm, PetscInt dim, const char prefix[], Vec *X, Mat *J, DM *dm) 1036 { 1037 PetscMPIInt size; 1038 PetscErrorCode ierr; 1039 LandauCtx *ctx; 1040 1041 PetscFunctionBegin; 1042 ierr = MPI_Comm_size(comm, &size);CHKERRQ(ierr); 1043 if (size!=1) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Velocity space meshes should be serial (but should work in parallel)"); 1044 if (dim!=2 && dim!=3) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Only 2D and 3D supported"); 1045 ctx = (LandauCtx*)malloc(sizeof(LandauCtx)); 1046 /* process options */ 1047 ierr = ProcessOptions(ctx,prefix);CHKERRQ(ierr); 1048 /* Create Mesh */ 1049 ierr = LandauDMCreateVMesh(comm, dim, prefix, ctx, dm);CHKERRQ(ierr); 1050 ierr = DMViewFromOptions(*dm,NULL,"-dm_landau_pre_dm_view");CHKERRQ(ierr); 1051 ierr = DMSetApplicationContext(*dm, ctx);CHKERRQ(ierr); 1052 /* create FEM */ 1053 ierr = SetupDS(*dm,dim,ctx);CHKERRQ(ierr); 1054 /* set initial state */ 1055 ierr = DMCreateGlobalVector(*dm,X);CHKERRQ(ierr); 1056 ierr = PetscObjectSetName((PetscObject) *X, "u");CHKERRQ(ierr); 1057 /* initial static refinement, no solve */ 1058 ierr = LandauSetInitialCondition(*dm, *X, ctx);CHKERRQ(ierr); 1059 ierr = VecViewFromOptions(*X, NULL, "-dm_landau_pre_vec_view");CHKERRQ(ierr); 1060 /* forest refinement */ 1061 if (ctx->errorIndicator) { 1062 /* AMR */ 1063 ierr = adapt(dm,ctx,X);CHKERRQ(ierr); 1064 ierr = DMViewFromOptions(*dm,NULL,"-dm_landau_amr_dm_view");CHKERRQ(ierr); 1065 ierr = VecViewFromOptions(*X, NULL, "-dm_landau_amr_vec_view");CHKERRQ(ierr); 1066 } 1067 ierr = DMSetApplicationContext(*dm, ctx);CHKERRQ(ierr); 1068 ctx->dmv = *dm; 1069 ierr = DMCreateMatrix(ctx->dmv, &ctx->J);CHKERRQ(ierr); 1070 if (J) *J = ctx->J; 1071 PetscFunctionReturn(0); 1072 } 1073 1074 /*@ 1075 LandauDestroyVelocitySpace - Destroy a DMPlex velocity space mesh 1076 1077 Collective on dm 1078 1079 Input/Output Parameters: 1080 . dm - the dm to destroy 1081 1082 Level: beginner 1083 1084 .keywords: mesh 1085 .seealso: LandauCreateVelocitySpace() 1086 @*/ 1087 PetscErrorCode LandauDestroyVelocitySpace(DM *dm) 1088 { 1089 PetscErrorCode ierr,ii; 1090 LandauCtx *ctx; 1091 PetscContainer container = NULL; 1092 PetscFunctionBegin; 1093 ierr = DMGetApplicationContext(*dm, &ctx);CHKERRQ(ierr); 1094 ierr = PetscObjectQuery((PetscObject)ctx->J,"coloring", (PetscObject*)&container);CHKERRQ(ierr); 1095 if (container) { 1096 ierr = PetscContainerDestroy(&container);CHKERRQ(ierr); 1097 } 1098 ierr = MatDestroy(&ctx->M);CHKERRQ(ierr); 1099 ierr = MatDestroy(&ctx->J);CHKERRQ(ierr); 1100 for (ii=0;ii<ctx->num_species;ii++) { 1101 ierr = PetscFEDestroy(&ctx->fe[ii]);CHKERRQ(ierr); 1102 } 1103 free(ctx); 1104 ierr = DMDestroy(dm);CHKERRQ(ierr); 1105 PetscFunctionReturn(0); 1106 } 1107 1108 /* < v, ru > */ 1109 static void f0_s_den(PetscInt dim, PetscInt Nf, PetscInt NfAux, 1110 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 1111 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 1112 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0) 1113 { 1114 PetscInt ii = (PetscInt)PetscRealPart(constants[0]); 1115 f0[0] = u[ii]; 1116 } 1117 1118 /* < v, ru > */ 1119 static void f0_s_mom(PetscInt dim, PetscInt Nf, PetscInt NfAux, 1120 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 1121 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 1122 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0) 1123 { 1124 PetscInt ii = (PetscInt)PetscRealPart(constants[0]), jj = (PetscInt)PetscRealPart(constants[1]); 1125 f0[0] = x[jj]*u[ii]; /* x momentum */ 1126 } 1127 1128 static void f0_s_v2(PetscInt dim, PetscInt Nf, PetscInt NfAux, 1129 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 1130 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 1131 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0) 1132 { 1133 PetscInt i, ii = (PetscInt)PetscRealPart(constants[0]); 1134 double tmp1 = 0.; 1135 for (i = 0; i < dim; ++i) tmp1 += x[i]*x[i]; 1136 f0[0] = tmp1*u[ii]; 1137 } 1138 1139 /* < v, ru > */ 1140 static void f0_s_rden(PetscInt dim, PetscInt Nf, PetscInt NfAux, 1141 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 1142 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 1143 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0) 1144 { 1145 PetscInt ii = (PetscInt)PetscRealPart(constants[0]); 1146 f0[0] = 2.*PETSC_PI*x[0]*u[ii]; 1147 } 1148 1149 /* < v, ru > */ 1150 static void f0_s_rmom(PetscInt dim, PetscInt Nf, PetscInt NfAux, 1151 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 1152 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 1153 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0) 1154 { 1155 PetscInt ii = (PetscInt)PetscRealPart(constants[0]); 1156 f0[0] = 2.*PETSC_PI*x[0]*x[1]*u[ii]; 1157 } 1158 1159 static void f0_s_rv2(PetscInt dim, PetscInt Nf, PetscInt NfAux, 1160 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 1161 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 1162 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0) 1163 { 1164 PetscInt ii = (PetscInt)PetscRealPart(constants[0]); 1165 f0[0] = 2.*PETSC_PI*x[0]*(x[0]*x[0] + x[1]*x[1])*u[ii]; 1166 } 1167 1168 /*@ 1169 LandauPrintNorms - collects moments and prints them 1170 1171 Collective on dm 1172 1173 Input Parameters: 1174 + X - the state 1175 - stepi - current step to print 1176 1177 Level: beginner 1178 1179 .keywords: mesh 1180 .seealso: LandauCreateVelocitySpace() 1181 @*/ 1182 PetscErrorCode LandauPrintNorms(Vec X, PetscInt stepi) 1183 { 1184 PetscErrorCode ierr; 1185 LandauCtx *ctx; 1186 PetscDS prob; 1187 DM plex,dm; 1188 PetscInt cStart, cEnd, dim, ii; 1189 PetscScalar xmomentumtot=0, ymomentumtot=0, zmomentumtot=0, energytot=0, densitytot=0, tt[LANDAU_MAX_SPECIES]; 1190 PetscScalar xmomentum[LANDAU_MAX_SPECIES], ymomentum[LANDAU_MAX_SPECIES], zmomentum[LANDAU_MAX_SPECIES], energy[LANDAU_MAX_SPECIES], density[LANDAU_MAX_SPECIES]; 1191 1192 PetscFunctionBegin; 1193 ierr = VecGetDM(X, &dm);CHKERRQ(ierr); 1194 if (!dm) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "no DM"); 1195 ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr); 1196 ierr = DMGetApplicationContext(dm, &ctx);CHKERRQ(ierr); 1197 if (!ctx) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "no context"); 1198 ierr = DMConvert(ctx->dmv, DMPLEX, &plex);CHKERRQ(ierr); 1199 ierr = DMCreateDS(plex);CHKERRQ(ierr); 1200 ierr = DMGetDS(plex, &prob);CHKERRQ(ierr); 1201 /* print momentum and energy */ 1202 for (ii=0;ii<ctx->num_species;ii++) { 1203 PetscScalar user[2] = { (PetscScalar)ii, (PetscScalar)ctx->charges[ii]}; 1204 ierr = PetscDSSetConstants(prob, 2, user);CHKERRQ(ierr); 1205 if (dim==2) { /* 2/3X + 3V (cylindrical coordinates) */ 1206 ierr = PetscDSSetObjective(prob, 0, &f0_s_rden);CHKERRQ(ierr); 1207 ierr = DMPlexComputeIntegralFEM(plex,X,tt,ctx);CHKERRQ(ierr); 1208 density[ii] = tt[0]*ctx->n_0*ctx->charges[ii]; 1209 ierr = PetscDSSetObjective(prob, 0, &f0_s_rmom);CHKERRQ(ierr); 1210 ierr = DMPlexComputeIntegralFEM(plex,X,tt,ctx);CHKERRQ(ierr); 1211 zmomentum[ii] = tt[0]*ctx->n_0*ctx->v_0*ctx->masses[ii]; 1212 ierr = PetscDSSetObjective(prob, 0, &f0_s_rv2);CHKERRQ(ierr); 1213 ierr = DMPlexComputeIntegralFEM(plex,X,tt,ctx);CHKERRQ(ierr); 1214 energy[ii] = tt[0]*0.5*ctx->n_0*ctx->v_0*ctx->v_0*ctx->masses[ii]; 1215 zmomentumtot += zmomentum[ii]; 1216 energytot += energy[ii]; 1217 densitytot += density[ii]; 1218 ierr = PetscPrintf(PETSC_COMM_WORLD, "%3D) species-%D: charge density= %20.13e z-momentum= %20.13e energy= %20.13e",stepi,ii,density[ii],zmomentum[ii],energy[ii]);CHKERRQ(ierr); 1219 } else { /* 2/3X + 3V */ 1220 ierr = PetscDSSetObjective(prob, 0, &f0_s_den);CHKERRQ(ierr); 1221 ierr = DMPlexComputeIntegralFEM(plex,X,tt,ctx);CHKERRQ(ierr); 1222 density[ii] = tt[0]*ctx->n_0*ctx->charges[ii]; 1223 ierr = PetscDSSetObjective(prob, 0, &f0_s_mom);CHKERRQ(ierr); 1224 user[1] = 0; 1225 ierr = DMPlexComputeIntegralFEM(plex,X,tt,ctx);CHKERRQ(ierr); 1226 xmomentum[ii] = tt[0]*ctx->n_0*ctx->v_0*ctx->masses[ii]; 1227 user[1] = 1; 1228 ierr = DMPlexComputeIntegralFEM(plex,X,tt,ctx);CHKERRQ(ierr); 1229 ymomentum[ii] = tt[0]*ctx->n_0*ctx->v_0*ctx->masses[ii]; 1230 user[1] = 2; 1231 ierr = DMPlexComputeIntegralFEM(plex,X,tt,ctx);CHKERRQ(ierr); 1232 zmomentum[ii] = tt[0]*ctx->n_0*ctx->v_0*ctx->masses[ii]; 1233 ierr = PetscDSSetObjective(prob, 0, &f0_s_v2);CHKERRQ(ierr); 1234 ierr = DMPlexComputeIntegralFEM(plex,X,tt,ctx);CHKERRQ(ierr); 1235 energy[ii] = 0.5*tt[0]*ctx->n_0*ctx->v_0*ctx->v_0*ctx->masses[ii]; 1236 ierr = PetscPrintf(PETSC_COMM_WORLD, "%3D) species %D: density=%20.13e, x-momentum=%20.13e, y-momentum=%20.13e, z-momentum=%20.13e, energy=%21.13e", 1237 stepi,ii,density[ii],xmomentum[ii],ymomentum[ii],zmomentum[ii],energy[ii]);CHKERRQ(ierr); 1238 xmomentumtot += xmomentum[ii]; 1239 ymomentumtot += ymomentum[ii]; 1240 zmomentumtot += zmomentum[ii]; 1241 energytot += energy[ii]; 1242 densitytot += density[ii]; 1243 } 1244 if (ctx->num_species>1) PetscPrintf(PETSC_COMM_WORLD, "\n"); 1245 } 1246 /* totals */ 1247 ierr = DMPlexGetHeightStratum(plex,0,&cStart,&cEnd);CHKERRQ(ierr); 1248 ierr = DMDestroy(&plex);CHKERRQ(ierr); 1249 if (ctx->num_species>1) { 1250 if (dim==2) { 1251 ierr = PetscPrintf(PETSC_COMM_WORLD, "\t%3D) Total: charge density=%21.13e, momentum=%21.13e, energy=%21.13e (m_i[0]/m_e = %g, %D cells)", 1252 stepi,densitytot,zmomentumtot,energytot,ctx->masses[1]/ctx->masses[0],cEnd-cStart);CHKERRQ(ierr); 1253 } else { 1254 ierr = PetscPrintf(PETSC_COMM_WORLD, "\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)", 1255 stepi,densitytot,xmomentumtot,ymomentumtot,zmomentumtot,energytot,ctx->masses[1]/ctx->masses[0],cEnd-cStart);CHKERRQ(ierr); 1256 } 1257 } else { 1258 ierr = PetscPrintf(PETSC_COMM_WORLD, " -- %D cells",cEnd-cStart);CHKERRQ(ierr); 1259 } 1260 if (ctx->verbose > 1) {ierr = PetscPrintf(PETSC_COMM_WORLD,", %D sub (vector) threads\n",ctx->subThreadBlockSize);CHKERRQ(ierr);} 1261 else {ierr = PetscPrintf(PETSC_COMM_WORLD,"\n");CHKERRQ(ierr);} 1262 PetscFunctionReturn(0); 1263 } 1264 1265 static PetscErrorCode destroy_coloring (void *is) 1266 { 1267 ISColoring tmp = (ISColoring)is; 1268 return ISColoringDestroy(&tmp); 1269 } 1270 1271 /*@ 1272 LandauCreateColoring - create a coloring and add to matrix (Landau context used just for 'print' flag, should be in DMPlex) 1273 1274 Collective on JacP 1275 1276 Input Parameters: 1277 + JacP - matrix to add coloring to 1278 - plex - The DM 1279 1280 Output Parameter: 1281 . container - Container with coloring 1282 1283 Level: beginner 1284 1285 .keywords: mesh 1286 .seealso: LandauCreateVelocitySpace() 1287 @*/ 1288 PetscErrorCode LandauCreateColoring(Mat JacP, DM plex, PetscContainer *container) 1289 { 1290 PetscErrorCode ierr; 1291 PetscInt dim,cell,i,ej,nc,Nv,totDim,numGCells,cStart,cEnd; 1292 ISColoring iscoloring = NULL; 1293 Mat G,Q; 1294 PetscScalar ones[128]; 1295 MatColoring mc; 1296 IS *is; 1297 PetscInt csize,colour,j,k; 1298 const PetscInt *indices; 1299 PetscInt numComp[1]; 1300 PetscInt numDof[4]; 1301 PetscFE fe; 1302 DM colordm; 1303 PetscSection csection, section, globalSection; 1304 PetscDS prob; 1305 LandauCtx *ctx; 1306 1307 PetscFunctionBegin; 1308 ierr = DMGetApplicationContext(plex, &ctx);CHKERRQ(ierr); 1309 ierr = DMGetLocalSection(plex, §ion);CHKERRQ(ierr); 1310 ierr = DMGetGlobalSection(plex, &globalSection);CHKERRQ(ierr); 1311 ierr = DMGetDimension(plex, &dim);CHKERRQ(ierr); 1312 ierr = DMGetDS(plex, &prob);CHKERRQ(ierr); 1313 ierr = PetscDSGetTotalDimension(prob, &totDim);CHKERRQ(ierr); 1314 ierr = DMPlexGetHeightStratum(plex,0,&cStart,&cEnd);CHKERRQ(ierr); 1315 numGCells = cEnd - cStart; 1316 /* create cell centered DM */ 1317 ierr = DMClone(plex, &colordm);CHKERRQ(ierr); 1318 ierr = PetscFECreateDefault(PetscObjectComm((PetscObject) plex), dim, 1, PETSC_FALSE, "color_", PETSC_DECIDE, &fe);CHKERRQ(ierr); 1319 ierr = PetscObjectSetName((PetscObject) fe, "color");CHKERRQ(ierr); 1320 ierr = DMSetField(colordm, 0, NULL, (PetscObject)fe);CHKERRQ(ierr); 1321 ierr = PetscFEDestroy(&fe);CHKERRQ(ierr); 1322 for (i = 0; i < (dim+1); ++i) numDof[i] = 0; 1323 numDof[dim] = 1; 1324 numComp[0] = 1; 1325 ierr = DMPlexCreateSection(colordm, NULL, numComp, numDof, 0, NULL, NULL, NULL, NULL, &csection);CHKERRQ(ierr); 1326 ierr = PetscSectionSetFieldName(csection, 0, "color");CHKERRQ(ierr); 1327 ierr = DMSetLocalSection(colordm, csection);CHKERRQ(ierr); 1328 ierr = DMViewFromOptions(colordm,NULL,"-color_dm_view");CHKERRQ(ierr); 1329 /* get vertex to element map Q and colroing graph G */ 1330 ierr = MatGetSize(JacP,NULL,&Nv);CHKERRQ(ierr); 1331 ierr = MatCreateAIJ(PETSC_COMM_SELF,PETSC_DECIDE,PETSC_DECIDE,numGCells,Nv,totDim,NULL,0,NULL,&Q);CHKERRQ(ierr); 1332 for (i=0;i<128;i++) ones[i] = 1.0; 1333 for (cell = cStart, ej = 0 ; cell < cEnd; ++cell, ++ej) { 1334 PetscInt numindices,*indices; 1335 ierr = DMPlexGetClosureIndices(plex, section, globalSection, cell, PETSC_TRUE, &numindices, &indices, NULL, NULL);CHKERRQ(ierr); 1336 if (numindices>128) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "too many indices. %D > %D",numindices,128); 1337 ierr = MatSetValues(Q,1,&ej,numindices,indices,ones,ADD_VALUES);CHKERRQ(ierr); 1338 ierr = DMPlexRestoreClosureIndices(plex, section, globalSection, cell, PETSC_TRUE, &numindices, &indices, NULL, NULL);CHKERRQ(ierr); 1339 } 1340 ierr = MatAssemblyBegin(Q, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1341 ierr = MatAssemblyEnd(Q, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1342 ierr = MatMatTransposeMult(Q,Q,MAT_INITIAL_MATRIX,4.0,&G);CHKERRQ(ierr); 1343 ierr = PetscObjectSetName((PetscObject) Q, "Q");CHKERRQ(ierr); 1344 ierr = PetscObjectSetName((PetscObject) G, "coloring graph");CHKERRQ(ierr); 1345 ierr = MatViewFromOptions(G,NULL,"-coloring_mat_view");CHKERRQ(ierr); 1346 ierr = MatViewFromOptions(Q,NULL,"-coloring_mat_view");CHKERRQ(ierr); 1347 ierr = MatDestroy(&Q);CHKERRQ(ierr); 1348 /* coloring */ 1349 ierr = MatColoringCreate(G,&mc);CHKERRQ(ierr); 1350 ierr = MatColoringSetDistance(mc,1);CHKERRQ(ierr); 1351 ierr = MatColoringSetType(mc,MATCOLORINGJP);CHKERRQ(ierr); 1352 ierr = MatColoringSetFromOptions(mc);CHKERRQ(ierr); 1353 ierr = MatColoringApply(mc,&iscoloring);CHKERRQ(ierr); 1354 ierr = MatColoringDestroy(&mc);CHKERRQ(ierr); 1355 /* view */ 1356 ierr = ISColoringViewFromOptions(iscoloring,NULL,"-coloring_is_view");CHKERRQ(ierr); 1357 ierr = ISColoringGetIS(iscoloring,PETSC_USE_POINTER,&nc,&is);CHKERRQ(ierr); 1358 if (ctx && ctx->verbose > 5) { 1359 PetscViewer viewer; 1360 Vec color_vec, eidx_vec; 1361 ierr = DMGetGlobalVector(colordm, &color_vec);CHKERRQ(ierr); 1362 ierr = DMGetGlobalVector(colordm, &eidx_vec);CHKERRQ(ierr); 1363 for (colour=0; colour<nc; colour++) { 1364 ierr = ISGetLocalSize(is[colour],&csize);CHKERRQ(ierr); 1365 ierr = ISGetIndices(is[colour],&indices);CHKERRQ(ierr); 1366 for (j=0; j<csize; j++) { 1367 PetscScalar v = (PetscScalar)colour; 1368 k = indices[j]; 1369 ierr = VecSetValues(color_vec,1,&k,&v,INSERT_VALUES); 1370 v = (PetscScalar)k; 1371 ierr = VecSetValues(eidx_vec,1,&k,&v,INSERT_VALUES); 1372 } 1373 ierr = ISRestoreIndices(is[colour],&indices);CHKERRQ(ierr); 1374 } 1375 /* view */ 1376 ierr = PetscViewerVTKOpen(PETSC_COMM_WORLD, "color.vtu", FILE_MODE_WRITE, &viewer);CHKERRQ(ierr); 1377 ierr = PetscObjectSetName((PetscObject) color_vec, "color");CHKERRQ(ierr); 1378 ierr = VecView(color_vec, viewer);CHKERRQ(ierr); 1379 ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr); 1380 ierr = PetscViewerVTKOpen(PETSC_COMM_WORLD, "eidx.vtu", FILE_MODE_WRITE, &viewer);CHKERRQ(ierr); 1381 ierr = PetscObjectSetName((PetscObject) eidx_vec, "element-idx");CHKERRQ(ierr); 1382 ierr = VecView(eidx_vec, viewer);CHKERRQ(ierr); 1383 ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr); 1384 ierr = DMRestoreGlobalVector(colordm, &color_vec);CHKERRQ(ierr); 1385 ierr = DMRestoreGlobalVector(colordm, &eidx_vec);CHKERRQ(ierr); 1386 } 1387 ierr = PetscSectionDestroy(&csection);CHKERRQ(ierr); 1388 ierr = DMDestroy(&colordm);CHKERRQ(ierr); 1389 ierr = ISColoringRestoreIS(iscoloring,PETSC_USE_POINTER,&is);CHKERRQ(ierr); 1390 ierr = MatDestroy(&G);CHKERRQ(ierr); 1391 /* stash coloring */ 1392 ierr = PetscContainerCreate(PETSC_COMM_SELF, container);CHKERRQ(ierr); 1393 ierr = PetscContainerSetPointer(*container,(void*)iscoloring);CHKERRQ(ierr); 1394 ierr = PetscContainerSetUserDestroy(*container, destroy_coloring);CHKERRQ(ierr); 1395 ierr = PetscObjectCompose((PetscObject)JacP,"coloring",(PetscObject)*container);CHKERRQ(ierr); 1396 if (ctx && ctx->verbose > 0) { 1397 ierr = PetscPrintf(PETSC_COMM_WORLD, "Made coloring with %D colors\n", nc);CHKERRQ(ierr); 1398 } 1399 PetscFunctionReturn(0); 1400 } 1401 1402 PetscErrorCode LandauAssembleOpenMP(PetscInt cStart, PetscInt cEnd, PetscInt totDim, DM plex, PetscSection section, PetscSection globalSection, Mat JacP, PetscScalar elemMats[], PetscContainer container) 1403 { 1404 PetscErrorCode ierr; 1405 IS *is; 1406 PetscInt nc,colour,j; 1407 const PetscInt *clr_idxs; 1408 ISColoring iscoloring; 1409 PetscFunctionBegin; 1410 ierr = PetscContainerGetPointer(container,(void**)&iscoloring);CHKERRQ(ierr); 1411 ierr = ISColoringGetIS(iscoloring,PETSC_USE_POINTER,&nc,&is);CHKERRQ(ierr); 1412 for (colour=0; colour<nc; colour++) { 1413 PetscInt *idx_arr[1024]; /* need to make dynamic for general use */ 1414 PetscScalar *new_el_mats[1024]; 1415 PetscInt idx_size[1024],csize; 1416 ierr = ISGetLocalSize(is[colour],&csize);CHKERRQ(ierr); 1417 if (csize>1024) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "too many elements in color. %D > %D",csize,1024); 1418 ierr = ISGetIndices(is[colour],&clr_idxs);CHKERRQ(ierr); 1419 /* get indices and mats */ 1420 for (j=0; j<csize; j++) { 1421 PetscInt cell = cStart + clr_idxs[j]; 1422 PetscInt numindices,*indices; 1423 PetscScalar *elMat = &elemMats[clr_idxs[j]*totDim*totDim]; 1424 PetscScalar *valuesOrig = elMat; 1425 ierr = DMPlexGetClosureIndices(plex, section, globalSection, cell, PETSC_TRUE, &numindices, &indices, NULL, (PetscScalar **) &elMat);CHKERRQ(ierr); 1426 idx_size[j] = numindices; 1427 ierr = PetscMalloc2(numindices,&idx_arr[j],numindices*numindices,&new_el_mats[j]);CHKERRQ(ierr); 1428 ierr = PetscMemcpy(idx_arr[j],indices,numindices*sizeof(PetscInt));CHKERRQ(ierr); 1429 ierr = PetscMemcpy(new_el_mats[j],elMat,numindices*numindices*sizeof(PetscScalar));CHKERRQ(ierr); 1430 ierr = DMPlexRestoreClosureIndices(plex, section, globalSection, cell, PETSC_TRUE, &numindices, &indices, NULL, (PetscScalar **) &elMat);CHKERRQ(ierr); 1431 if (elMat != valuesOrig) {ierr = DMRestoreWorkArray(plex, numindices*numindices, MPIU_SCALAR, &elMat);} 1432 } 1433 /* assemble matrix - pragmas break CI ? */ 1434 //#pragma omp parallel default(JacP,idx_size,idx_arr,new_el_mats,colour,clr_idxs) private(j) 1435 //#pragma omp parallel for private(j) 1436 for (j=0; j<csize; j++) { 1437 PetscInt numindices = idx_size[j], *indices = idx_arr[j]; 1438 PetscScalar *elMat = new_el_mats[j]; 1439 MatSetValues(JacP,numindices,indices,numindices,indices,elMat,ADD_VALUES); 1440 } 1441 /* free */ 1442 ierr = ISRestoreIndices(is[colour],&clr_idxs);CHKERRQ(ierr); 1443 for (j=0; j<csize; j++) { 1444 ierr = PetscFree2(idx_arr[j],new_el_mats[j]);CHKERRQ(ierr); 1445 } 1446 } 1447 ierr = ISColoringRestoreIS(iscoloring,PETSC_USE_POINTER,&is);CHKERRQ(ierr); 1448 PetscFunctionReturn(0); 1449 } 1450 1451 /* < v, u > */ 1452 static void g0_1(PetscInt dim, PetscInt Nf, PetscInt NfAux, 1453 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 1454 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 1455 PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g0[]) 1456 { 1457 g0[0] = 1.; 1458 } 1459 1460 /* < v, u > */ 1461 static void g0_r(PetscInt dim, PetscInt Nf, PetscInt NfAux, 1462 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 1463 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 1464 PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g0[]) 1465 { 1466 g0[0] = 2.*PETSC_PI*x[0]; 1467 } 1468 1469 /*@ 1470 LandauCreateMassMatrix - Create mass matrix for Landau 1471 1472 Collective on dm 1473 1474 Input Parameters: 1475 . dm - the DM object 1476 1477 Output Parameters: 1478 . Amat - The mass matrix (optional), mass matrix is added to the DM context 1479 1480 Level: beginner 1481 1482 .keywords: mesh 1483 .seealso: LandauCreateVelocitySpace() 1484 @*/ 1485 PetscErrorCode LandauCreateMassMatrix(DM dm, Mat *Amat) 1486 { 1487 DM massDM; 1488 PetscDS prob; 1489 PetscInt ii,dim,N1=1,N2; 1490 PetscErrorCode ierr; 1491 LandauCtx *ctx; 1492 Mat M; 1493 1494 PetscFunctionBegin; 1495 PetscValidHeaderSpecific(dm,DM_CLASSID,1); 1496 if (Amat) PetscValidPointer(Amat,3); 1497 ierr = DMGetApplicationContext(dm, &ctx);CHKERRQ(ierr); 1498 if (!ctx) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "no context"); 1499 ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr); 1500 ierr = DMClone(dm, &massDM);CHKERRQ(ierr); 1501 ierr = DMCopyFields(dm, massDM);CHKERRQ(ierr); 1502 ierr = DMCreateDS(massDM);CHKERRQ(ierr); 1503 ierr = DMGetDS(massDM, &prob);CHKERRQ(ierr); 1504 for (ii=0;ii<ctx->num_species;ii++) { 1505 if (dim==3) {ierr = PetscDSSetJacobian(prob, ii, ii, g0_1, NULL, NULL, NULL);CHKERRQ(ierr);} 1506 else {ierr = PetscDSSetJacobian(prob, ii, ii, g0_r, NULL, NULL, NULL);CHKERRQ(ierr);} 1507 } 1508 ierr = DMViewFromOptions(massDM,NULL,"-dm_landau_mass_dm_view");CHKERRQ(ierr); 1509 ierr = DMCreateMatrix(massDM, &M);CHKERRQ(ierr); 1510 { 1511 Vec locX; 1512 DM plex; 1513 ierr = DMConvert(massDM, DMPLEX, &plex);CHKERRQ(ierr); 1514 ierr = DMGetLocalVector(massDM, &locX);CHKERRQ(ierr); 1515 /* Mass matrix is independent of the input, so no need to fill locX */ 1516 ierr = DMPlexSNESComputeJacobianFEM(plex, locX, M, M, ctx);CHKERRQ(ierr); 1517 ierr = DMRestoreLocalVector(massDM, &locX);CHKERRQ(ierr); 1518 ierr = DMDestroy(&plex);CHKERRQ(ierr); 1519 } 1520 ierr = DMDestroy(&massDM);CHKERRQ(ierr); 1521 ierr = MatGetSize(ctx->J, &N1, NULL);CHKERRQ(ierr); 1522 ierr = MatGetSize(M, &N2, NULL);CHKERRQ(ierr); 1523 if (N1 != N2) SETERRQ2(PetscObjectComm((PetscObject) dm), PETSC_ERR_PLIB, "Incorrect matrix sizes: |Jacobian| = %D, |Mass|=%D",N1,N2); 1524 ierr = MatViewFromOptions(M,NULL,"-dm_landau_mass_mat_view");CHKERRQ(ierr); 1525 ctx->M = M; /* this could be a noop, a = a */ 1526 if (Amat) *Amat = M; 1527 PetscFunctionReturn(0); 1528 } 1529 1530 /*@ 1531 LandauIFunction - TS residual calculation 1532 1533 Collective on ts 1534 1535 Input Parameters: 1536 + TS - The time stepping context 1537 . time_dummy - current time (not used) 1538 - X - Current state 1539 + X_t - Time derivative of current state 1540 . actx - Landau context 1541 1542 Output Parameter: 1543 . F - The residual 1544 1545 Level: beginner 1546 1547 .keywords: mesh 1548 .seealso: LandauCreateVelocitySpace(), LandauIJacobian() 1549 @*/ 1550 PetscErrorCode LandauIFunction(TS ts,PetscReal time_dummy,Vec X,Vec X_t,Vec F,void *actx) 1551 { 1552 PetscErrorCode ierr; 1553 LandauCtx *ctx=(LandauCtx*)actx; 1554 PetscReal unorm; 1555 PetscInt dim; 1556 DM dm; 1557 1558 PetscFunctionBegin; 1559 ierr = TSGetDM(ts,&dm);CHKERRQ(ierr); 1560 ierr = DMGetApplicationContext(dm, &ctx);CHKERRQ(ierr); 1561 if (!ctx) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "no context"); 1562 ierr = VecNorm(X,NORM_2,&unorm);CHKERRQ(ierr); 1563 ierr = MPI_Barrier(PETSC_COMM_WORLD);CHKERRQ(ierr); // remove in real application 1564 ierr = PetscLogEventBegin(ctx->events[0],0,0,0,0);CHKERRQ(ierr); 1565 ierr = DMGetDimension(ctx->dmv, &dim);CHKERRQ(ierr); 1566 if (ctx->normJ!=unorm) { 1567 ctx->normJ = unorm; 1568 ierr = LandauFormJacobian_Internal(X,ctx->J,dim,(void*)ctx);CHKERRQ(ierr); 1569 ctx->aux_bool = PETSC_TRUE; /* debug: set flag that we made a new Jacobian */ 1570 } else ctx->aux_bool = PETSC_FALSE; 1571 /* mat vec for op */ 1572 ierr = MatMult(ctx->J,X,F);CHKERRQ(ierr);CHKERRQ(ierr); /* C*f */ 1573 /* add time term */ 1574 if (X_t) { 1575 ierr = MatMultAdd(ctx->M,X_t,F,F);CHKERRQ(ierr); 1576 } 1577 ierr = PetscLogEventEnd(ctx->events[0],0,0,0,0);CHKERRQ(ierr); 1578 PetscFunctionReturn(0); 1579 } 1580 1581 /*@ 1582 LandauIJacobian - TS Jacobian construction 1583 1584 Collective on ts 1585 1586 Input Parameters: 1587 + TS - The time stepping context 1588 . time_dummy - current time (not used) 1589 - X - Current state 1590 + U_tdummy - Time derivative of current state (not used) 1591 . shift - shift for du/dt term 1592 - actx - Landau context 1593 1594 Output Parameter: 1595 . Amat - Jacobian 1596 + Pmat - same as Amat 1597 1598 Level: beginner 1599 1600 .keywords: mesh 1601 .seealso: LandauCreateVelocitySpace(), LandauIFunction() 1602 @*/ 1603 PetscErrorCode LandauIJacobian(TS ts,PetscReal time_dummy,Vec X,Vec U_tdummy,PetscReal shift,Mat Amat,Mat Pmat,void *actx) 1604 { 1605 PetscErrorCode ierr; 1606 LandauCtx *ctx=(LandauCtx*)actx; 1607 PetscReal unorm; 1608 PetscInt dim; 1609 DM dm; 1610 1611 PetscFunctionBegin; 1612 ierr = TSGetDM(ts,&dm);CHKERRQ(ierr); 1613 ierr = DMGetApplicationContext(dm, &ctx);CHKERRQ(ierr); 1614 if (!ctx) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "no context"); 1615 if (Amat!=Pmat || Amat!=ctx->J) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Amat!=Pmat || Amat!=ctx->J"); 1616 ierr = DMGetDimension(ctx->dmv, &dim);CHKERRQ(ierr); 1617 /* get collision Jacobian into A */ 1618 ierr = PetscLogEventBegin(ctx->events[9],0,0,0,0);CHKERRQ(ierr); 1619 ierr = VecNorm(X,NORM_2,&unorm);CHKERRQ(ierr); 1620 if (ctx->normJ!=unorm) { 1621 ierr = LandauFormJacobian_Internal(X,ctx->J,dim,(void*)ctx);CHKERRQ(ierr); 1622 ctx->normJ = unorm; 1623 ctx->aux_bool = PETSC_TRUE; /* debug: set flag that we made a new Jacobian */ 1624 } else ctx->aux_bool = PETSC_FALSE; 1625 /* add C */ 1626 ierr = MatCopy(ctx->J,Pmat,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 1627 /* add mass */ 1628 ierr = MatAXPY(Pmat,shift,ctx->M,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 1629 ierr = PetscLogEventEnd(ctx->events[9],0,0,0,0);CHKERRQ(ierr); 1630 PetscFunctionReturn(0); 1631 } 1632