1 // Copyright (c) 2017, Lawrence Livermore National Security, LLC. Produced at 2 // the Lawrence Livermore National Laboratory. LLNL-CODE-734707. All Rights 3 // reserved. See files LICENSE and NOTICE for details. 4 // 5 // This file is part of CEED, a collection of benchmarks, miniapps, software 6 // libraries and APIs for efficient high-order finite element and spectral 7 // element discretizations for exascale applications. For more information and 8 // source code availability see http://github.com/ceed. 9 // 10 // The CEED research is supported by the Exascale Computing Project 17-SC-20-SC, 11 // a collaborative effort of two U.S. Department of Energy organizations (Office 12 // of Science and the National Nuclear Security Administration) responsible for 13 // the planning and preparation of a capable exascale ecosystem, including 14 // software, applications, hardware, advanced system engineering and early 15 // testbed platforms, in support of the nation's exascale computing imperative. 16 17 // libCEED + PETSc Example: Elasticity 18 // 19 // This example demonstrates a simple usage of libCEED with PETSc to solve 20 // elasticity problems. 21 // 22 // The code uses higher level communication protocols in DMPlex. 23 // 24 // Build with: 25 // 26 // make elasticity [PETSC_DIR=</path/to/petsc>] [CEED_DIR=</path/to/libceed>] 27 // 28 // Sample runs: 29 // 30 // ./elasticity -mesh [.exo file] -degree 2 -E 1 -nu 0.3 -problem linElas -forcing mms 31 // ./elasticity -mesh [.exo file] -degree 2 -E 1 -nu 0.3 -bc_clamp 998,999 -bc_clamp_998_translate 0.1,0.2,0.3 -problem hyperSS -forcing none -ceed /cpu/self 32 // ./elasticity -mesh [.exo file] -degree 2 -E 1 -nu 0.3 -bc_clamp 998,999 -bc_clamp_998_rotate 1,0,0,0.2 -problem hyperFS -forcing none -ceed /gpu/occa 33 // 34 // Sample meshes can be found at https://github.com/jeremylt/ceedSampleMeshes 35 // 36 //TESTARGS -ceed {ceed_resource} -test -degree 3 -nu 0.3 -E 1 -dm_plex_box_faces 3,3,3 37 38 /// @file 39 /// CEED elasticity example using PETSc with DMPlex 40 41 const char help[] = "Solve solid Problems with CEED and PETSc DMPlex\n"; 42 43 #include "elasticity.h" 44 45 int main(int argc, char **argv) { 46 PetscInt ierr; 47 MPI_Comm comm; 48 // Context structs 49 AppCtx appCtx; // Contains problem options 50 Physics phys; // Contains physical constants 51 Physics physSmoother = NULL; // Separate context if nuSmoother set 52 Units units; // Contains units scaling 53 // PETSc objects 54 PetscLogStage stageDMSetup, stageLibceedSetup, 55 stageSnesSetup, stageSnesSolve; 56 DM dmOrig; // Distributed DM to clone 57 DM dmEnergy, dmDiagnostic; // DMs for postprocessing 58 DM *levelDMs; 59 Vec U, *Ug, *Uloc; // U: solution, R: residual, F: forcing 60 Vec R, Rloc, F, Floc; // g: global, loc: local 61 SNES snes, snesCoarse = NULL; 62 Mat *jacobMat, jacobMatCoarse, *prolongRestrMat; 63 // PETSc data 64 UserMult resCtx, jacobCoarseCtx = NULL, *jacobCtx; 65 FormJacobCtx formJacobCtx; 66 UserMultProlongRestr *prolongRestrCtx; 67 PCMGCycleType pcmgCycleType = PC_MG_CYCLE_V; 68 // libCEED objects 69 Ceed ceed; 70 CeedData *ceedData; 71 CeedQFunction qfRestrict = NULL, qfProlong = NULL; 72 // Parameters 73 PetscInt ncompu = 3; // 3 DoFs in 3D 74 PetscInt ncompe = 1, ncompd = 5; // 1 energy output, 5 diagnostic 75 PetscInt numLevels = 1, fineLevel = 0; 76 PetscInt *Ugsz, *Ulsz, *Ulocsz; // sz: size 77 PetscInt snesIts = 0, kspIts = 0; 78 // Timing 79 double startTime, elapsedTime, minTime, maxTime; 80 81 ierr = PetscInitialize(&argc, &argv, NULL, help); 82 if (ierr) 83 return ierr; 84 85 // --------------------------------------------------------------------------- 86 // Process command line options 87 // --------------------------------------------------------------------------- 88 comm = PETSC_COMM_WORLD; 89 90 // -- Set mesh file, polynomial degree, problem type 91 ierr = PetscCalloc1(1, &appCtx); CHKERRQ(ierr); 92 ierr = ProcessCommandLineOptions(comm, appCtx); CHKERRQ(ierr); 93 numLevels = appCtx->numLevels; 94 fineLevel = numLevels - 1; 95 96 // -- Set Poison's ratio, Young's Modulus 97 ierr = PetscMalloc1(1, &phys); CHKERRQ(ierr); 98 ierr = PetscMalloc1(1, &units); CHKERRQ(ierr); 99 ierr = ProcessPhysics(comm, phys, units); CHKERRQ(ierr); 100 if (fabs(appCtx->nuSmoother) > 1E-14) { 101 ierr = PetscMalloc1(1, &physSmoother); CHKERRQ(ierr); 102 ierr = PetscMemcpy(physSmoother, phys, sizeof(*phys)); CHKERRQ(ierr); 103 physSmoother->nu = appCtx->nuSmoother; 104 } 105 106 // --------------------------------------------------------------------------- 107 // Initalize libCEED 108 // --------------------------------------------------------------------------- 109 // Initalize backend 110 CeedInit(appCtx->ceedResource, &ceed); 111 112 // Check preferred MemType 113 CeedMemType memTypeBackend; 114 CeedGetPreferredMemType(ceed, &memTypeBackend); 115 if (!appCtx->setMemTypeRequest) 116 appCtx->memTypeRequested = memTypeBackend; 117 else if (!appCtx->petscHaveCuda && appCtx->memTypeRequested == CEED_MEM_DEVICE) 118 SETERRQ1(PETSC_COMM_WORLD, PETSC_ERR_SUP_SYS, 119 "PETSc was not built with CUDA. " 120 "Requested MemType CEED_MEM_DEVICE is not supported.", NULL); 121 122 // --------------------------------------------------------------------------- 123 // Setup DM 124 // --------------------------------------------------------------------------- 125 // Performance logging 126 ierr = PetscLogStageRegister("DM and Vector Setup Stage", &stageDMSetup); 127 CHKERRQ(ierr); 128 ierr = PetscLogStagePush(stageDMSetup); CHKERRQ(ierr); 129 130 // -- Create distributed DM from mesh file 131 ierr = CreateDistributedDM(comm, appCtx, &dmOrig); CHKERRQ(ierr); 132 133 // -- Setup DM by polynomial degree 134 ierr = PetscMalloc1(numLevels, &levelDMs); CHKERRQ(ierr); 135 for (PetscInt level = 0; level < numLevels; level++) { 136 ierr = DMClone(dmOrig, &levelDMs[level]); CHKERRQ(ierr); 137 if (appCtx->memTypeRequested == CEED_MEM_DEVICE) { 138 ierr = DMSetVecType(levelDMs[level], VECCUDA); CHKERRQ(ierr); 139 } 140 ierr = SetupDMByDegree(levelDMs[level], appCtx, appCtx->levelDegrees[level], 141 PETSC_TRUE, ncompu); CHKERRQ(ierr); 142 // -- Label field components for viewing 143 // Empty name for conserved field (because there is only one field) 144 PetscSection section; 145 ierr = DMGetLocalSection(levelDMs[level], §ion); CHKERRQ(ierr); 146 ierr = PetscSectionSetFieldName(section, 0, "Displacement"); CHKERRQ(ierr); 147 ierr = PetscSectionSetComponentName(section, 0, 0, "DisplacementX"); 148 CHKERRQ(ierr); 149 ierr = PetscSectionSetComponentName(section, 0, 1, "DisplacementY"); 150 CHKERRQ(ierr); 151 ierr = PetscSectionSetComponentName(section, 0, 2, "DisplacementZ"); 152 CHKERRQ(ierr); 153 } 154 155 // -- Setup postprocessing DMs 156 ierr = DMClone(dmOrig, &dmEnergy); CHKERRQ(ierr); 157 ierr = SetupDMByDegree(dmEnergy, appCtx, appCtx->levelDegrees[fineLevel], 158 PETSC_FALSE, ncompe); CHKERRQ(ierr); 159 ierr = DMClone(dmOrig, &dmDiagnostic); CHKERRQ(ierr); 160 ierr = SetupDMByDegree(dmDiagnostic, appCtx, appCtx->levelDegrees[fineLevel], 161 PETSC_FALSE, ncompu + ncompd); CHKERRQ(ierr); 162 if (appCtx->memTypeRequested == CEED_MEM_DEVICE) { 163 ierr = DMSetVecType(dmEnergy, VECCUDA); CHKERRQ(ierr); 164 ierr = DMSetVecType(dmDiagnostic, VECCUDA); CHKERRQ(ierr); 165 } 166 { 167 // -- Label field components for viewing 168 // Empty name for conserved field (because there is only one field) 169 PetscSection section; 170 ierr = DMGetLocalSection(dmDiagnostic, §ion); CHKERRQ(ierr); 171 ierr = PetscSectionSetFieldName(section, 0, "Diagnostics"); CHKERRQ(ierr); 172 ierr = PetscSectionSetComponentName(section, 0, 0, "DisplacementX"); 173 CHKERRQ(ierr); 174 ierr = PetscSectionSetComponentName(section, 0, 1, "DisplacementY"); 175 CHKERRQ(ierr); 176 ierr = PetscSectionSetComponentName(section, 0, 2, "DisplacementZ"); 177 CHKERRQ(ierr); 178 ierr = PetscSectionSetComponentName(section, 0, 3, "Pressure"); 179 CHKERRQ(ierr); 180 ierr = PetscSectionSetComponentName(section, 0, 4, "VolumentricStrain"); 181 CHKERRQ(ierr); 182 ierr = PetscSectionSetComponentName(section, 0, 5, "TraceE2"); 183 CHKERRQ(ierr); 184 ierr = PetscSectionSetComponentName(section, 0, 6, "detJ"); 185 CHKERRQ(ierr); 186 ierr = PetscSectionSetComponentName(section, 0, 7, "StrainEnergyDensity"); 187 CHKERRQ(ierr); 188 } 189 190 // --------------------------------------------------------------------------- 191 // Setup solution and work vectors 192 // --------------------------------------------------------------------------- 193 // Allocate arrays 194 ierr = PetscMalloc1(numLevels, &Ug); CHKERRQ(ierr); 195 ierr = PetscMalloc1(numLevels, &Uloc); CHKERRQ(ierr); 196 ierr = PetscMalloc1(numLevels, &Ugsz); CHKERRQ(ierr); 197 ierr = PetscMalloc1(numLevels, &Ulsz); CHKERRQ(ierr); 198 ierr = PetscMalloc1(numLevels, &Ulocsz); CHKERRQ(ierr); 199 200 // -- Setup solution vectors for each level 201 for (PetscInt level = 0; level < numLevels; level++) { 202 // -- Create global unknown vector U 203 ierr = DMCreateGlobalVector(levelDMs[level], &Ug[level]); CHKERRQ(ierr); 204 ierr = VecGetSize(Ug[level], &Ugsz[level]); CHKERRQ(ierr); 205 // Note: Local size for matShell 206 ierr = VecGetLocalSize(Ug[level], &Ulsz[level]); CHKERRQ(ierr); 207 208 // -- Create local unknown vector Uloc 209 ierr = DMCreateLocalVector(levelDMs[level], &Uloc[level]); CHKERRQ(ierr); 210 // Note: local size for libCEED 211 ierr = VecGetSize(Uloc[level], &Ulocsz[level]); CHKERRQ(ierr); 212 } 213 214 // -- Create residual and forcing vectors 215 ierr = VecDuplicate(Ug[fineLevel], &U); CHKERRQ(ierr); 216 ierr = VecDuplicate(Ug[fineLevel], &R); CHKERRQ(ierr); 217 ierr = VecDuplicate(Ug[fineLevel], &F); CHKERRQ(ierr); 218 ierr = VecDuplicate(Uloc[fineLevel], &Rloc); CHKERRQ(ierr); 219 ierr = VecDuplicate(Uloc[fineLevel], &Floc); CHKERRQ(ierr); 220 221 // Performance logging 222 ierr = PetscLogStagePop(); 223 224 // --------------------------------------------------------------------------- 225 // Set up libCEED 226 // --------------------------------------------------------------------------- 227 // Performance logging 228 ierr = PetscLogStageRegister("libCEED Setup Stage", &stageLibceedSetup); 229 CHKERRQ(ierr); 230 ierr = PetscLogStagePush(stageLibceedSetup); CHKERRQ(ierr); 231 232 // -- Create libCEED local forcing vector 233 CeedVector forceCeed; 234 CeedScalar *f; 235 if (appCtx->forcingChoice != FORCE_NONE) { 236 if (appCtx->memTypeRequested == CEED_MEM_HOST) { 237 ierr = VecGetArray(Floc, &f); CHKERRQ(ierr); 238 } else { 239 ierr = VecCUDAGetArray(Floc, &f); CHKERRQ(ierr); 240 } 241 CeedVectorCreate(ceed, Ulocsz[fineLevel], &forceCeed); 242 CeedVectorSetArray(forceCeed, appCtx->memTypeRequested, CEED_USE_POINTER, f); 243 } 244 245 // -- Restriction and prolongation QFunction 246 if (appCtx->multigridChoice != MULTIGRID_NONE) { 247 CeedQFunctionCreateIdentity(ceed, ncompu, CEED_EVAL_NONE, CEED_EVAL_INTERP, 248 &qfRestrict); 249 CeedQFunctionCreateIdentity(ceed, ncompu, CEED_EVAL_INTERP, CEED_EVAL_NONE, 250 &qfProlong); 251 } 252 253 // -- Setup libCEED objects 254 ierr = PetscMalloc1(numLevels, &ceedData); CHKERRQ(ierr); 255 // ---- Setup residual, Jacobian evaluator and geometric information 256 ierr = PetscCalloc1(1, &ceedData[fineLevel]); CHKERRQ(ierr); 257 { 258 ierr = SetupLibceedFineLevel(levelDMs[fineLevel], dmEnergy, dmDiagnostic, 259 ceed, appCtx, phys, ceedData, fineLevel, 260 ncompu, Ugsz[fineLevel], Ulocsz[fineLevel], 261 forceCeed, qfRestrict, qfProlong); 262 CHKERRQ(ierr); 263 } 264 // ---- Setup coarse Jacobian evaluator and prolongation/restriction 265 for (PetscInt level = numLevels - 2; level >= 0; level--) { 266 ierr = PetscCalloc1(1, &ceedData[level]); CHKERRQ(ierr); 267 268 // Get global communication restriction 269 ierr = VecZeroEntries(Ug[level+1]); CHKERRQ(ierr); 270 ierr = VecSet(Uloc[level+1], 1.0); CHKERRQ(ierr); 271 ierr = DMLocalToGlobal(levelDMs[level+1], Uloc[level+1], ADD_VALUES, 272 Ug[level+1]); CHKERRQ(ierr); 273 ierr = DMGlobalToLocal(levelDMs[level+1], Ug[level+1], INSERT_VALUES, 274 Uloc[level+1]); CHKERRQ(ierr); 275 276 // Place in libCEED array 277 const PetscScalar *m; 278 if (appCtx->memTypeRequested == CEED_MEM_HOST) { 279 ierr = VecGetArrayRead(Uloc[level+1], &m); CHKERRQ(ierr); 280 } else { 281 ierr = VecCUDAGetArrayRead(Uloc[level+1], &m); CHKERRQ(ierr); 282 } 283 CeedVectorSetArray(ceedData[level+1]->xceed, appCtx->memTypeRequested, 284 CEED_USE_POINTER, (CeedScalar *)m); 285 286 // Note: use high order ceed, if specified and degree > 4 287 ierr = SetupLibceedLevel(levelDMs[level], ceed, appCtx, phys, 288 ceedData, level, ncompu, Ugsz[level], 289 Ulocsz[level], ceedData[level+1]->xceed, qfRestrict, 290 qfProlong); CHKERRQ(ierr); 291 292 // Restore PETSc vector 293 CeedVectorTakeArray(ceedData[level+1]->xceed, appCtx->memTypeRequested, 294 (CeedScalar **)&m); 295 if (appCtx->memTypeRequested == CEED_MEM_HOST) { 296 ierr = VecRestoreArrayRead(Uloc[level+1], &m); CHKERRQ(ierr); 297 } else { 298 ierr = VecCUDARestoreArrayRead(Uloc[level+1], &m); CHKERRQ(ierr); 299 } 300 ierr = VecZeroEntries(Ug[level+1]); CHKERRQ(ierr); 301 ierr = VecZeroEntries(Uloc[level+1]); CHKERRQ(ierr); 302 } 303 304 // Performance logging 305 ierr = PetscLogStagePop(); 306 307 // --------------------------------------------------------------------------- 308 // Setup global forcing vector 309 // --------------------------------------------------------------------------- 310 ierr = VecZeroEntries(F); CHKERRQ(ierr); 311 312 if (appCtx->forcingChoice != FORCE_NONE) { 313 CeedVectorTakeArray(forceCeed, appCtx->memTypeRequested, NULL); 314 if (appCtx->memTypeRequested == CEED_MEM_HOST) { 315 ierr = VecRestoreArray(Floc, &f); CHKERRQ(ierr); 316 } else { 317 ierr = VecCUDARestoreArray(Floc, &f); CHKERRQ(ierr); 318 } 319 ierr = DMLocalToGlobal(levelDMs[fineLevel], Floc, ADD_VALUES, F); 320 CHKERRQ(ierr); 321 CeedVectorDestroy(&forceCeed); 322 } 323 324 // --------------------------------------------------------------------------- 325 // Print problem summary 326 // --------------------------------------------------------------------------- 327 if (!appCtx->testMode) { 328 const char *usedresource; 329 CeedGetResource(ceed, &usedresource); 330 331 ierr = PetscPrintf(comm, 332 "\n-- Elasticity Example - libCEED + PETSc --\n" 333 " libCEED:\n" 334 " libCEED Backend : %s\n" 335 " libCEED Backend MemType : %s\n" 336 " libCEED User Requested MemType : %s\n", 337 usedresource, CeedMemTypes[memTypeBackend], 338 (appCtx->setMemTypeRequest) ? 339 CeedMemTypes[appCtx->memTypeRequested] : "none"); 340 CHKERRQ(ierr); 341 342 VecType vecType; 343 ierr = VecGetType(U, &vecType); CHKERRQ(ierr); 344 ierr = PetscPrintf(comm, 345 " PETSc:\n" 346 " PETSc Vec Type : %s\n", 347 vecType); CHKERRQ(ierr); 348 349 ierr = PetscPrintf(comm, 350 " Problem:\n" 351 " Problem Name : %s\n" 352 " Forcing Function : %s\n" 353 " Mesh:\n" 354 " File : %s\n" 355 " Number of 1D Basis Nodes (p) : %d\n" 356 " Number of 1D Quadrature Points (q) : %d\n" 357 " Global nodes : %D\n" 358 " Owned nodes : %D\n" 359 " DoF per node : %D\n" 360 " Multigrid:\n" 361 " Type : %s\n" 362 " Number of Levels : %d\n", 363 problemTypesForDisp[appCtx->problemChoice], 364 forcingTypesForDisp[appCtx->forcingChoice], 365 appCtx->meshFile[0] ? appCtx->meshFile : "Box Mesh", 366 appCtx->degree + 1, appCtx->degree + 1, 367 Ugsz[fineLevel]/ncompu, Ulsz[fineLevel]/ncompu, ncompu, 368 (appCtx->degree == 1 && 369 appCtx->multigridChoice != MULTIGRID_NONE) ? 370 "Algebraic multigrid" : 371 multigridTypesForDisp[appCtx->multigridChoice], 372 (appCtx->degree == 1 || 373 appCtx->multigridChoice == MULTIGRID_NONE) ? 374 0 : numLevels); CHKERRQ(ierr); 375 376 if (appCtx->multigridChoice != MULTIGRID_NONE) { 377 for (PetscInt i = 0; i < 2; i++) { 378 CeedInt level = i ? fineLevel : 0; 379 ierr = PetscPrintf(comm, 380 " Level %D (%s):\n" 381 " Number of 1D Basis Nodes (p) : %d\n" 382 " Global Nodes : %D\n" 383 " Owned Nodes : %D\n", 384 level, i ? "fine" : "coarse", 385 appCtx->levelDegrees[level] + 1, 386 Ugsz[level]/ncompu, Ulsz[level]/ncompu); 387 CHKERRQ(ierr); 388 } 389 } 390 } 391 392 // --------------------------------------------------------------------------- 393 // Setup SNES 394 // --------------------------------------------------------------------------- 395 // Performance logging 396 ierr = PetscLogStageRegister("SNES Setup Stage", &stageSnesSetup); 397 CHKERRQ(ierr); 398 ierr = PetscLogStagePush(stageSnesSetup); CHKERRQ(ierr); 399 400 // Create SNES 401 ierr = SNESCreate(comm, &snes); CHKERRQ(ierr); 402 ierr = SNESSetDM(snes, levelDMs[fineLevel]); CHKERRQ(ierr); 403 404 // -- Jacobian evaluators 405 ierr = PetscMalloc1(numLevels, &jacobCtx); CHKERRQ(ierr); 406 ierr = PetscMalloc1(numLevels, &jacobMat); CHKERRQ(ierr); 407 for (PetscInt level = 0; level < numLevels; level++) { 408 // -- Jacobian context for level 409 ierr = PetscMalloc1(1, &jacobCtx[level]); CHKERRQ(ierr); 410 ierr = SetupJacobianCtx(comm, appCtx, levelDMs[level], Ug[level], 411 Uloc[level], ceedData[level], ceed, phys, 412 physSmoother, jacobCtx[level]); CHKERRQ(ierr); 413 414 // -- Form Action of Jacobian on delta_u 415 ierr = MatCreateShell(comm, Ulsz[level], Ulsz[level], Ugsz[level], 416 Ugsz[level], jacobCtx[level], &jacobMat[level]); 417 CHKERRQ(ierr); 418 ierr = MatShellSetOperation(jacobMat[level], MATOP_MULT, 419 (void (*)(void))ApplyJacobian_Ceed); 420 CHKERRQ(ierr); 421 ierr = MatShellSetOperation(jacobMat[level], MATOP_GET_DIAGONAL, 422 (void(*)(void))GetDiag_Ceed); 423 if (appCtx->memTypeRequested == CEED_MEM_DEVICE) { 424 ierr = MatShellSetVecType(jacobMat[level], VECCUDA); CHKERRQ(ierr); 425 } 426 } 427 // Note: FormJacobian updates Jacobian matrices on each level 428 // and assembles the Jpre matrix, if needed 429 ierr = PetscMalloc1(1, &formJacobCtx); CHKERRQ(ierr); 430 formJacobCtx->jacobCtx = jacobCtx; 431 formJacobCtx->numLevels = numLevels; 432 formJacobCtx->jacobMat = jacobMat; 433 434 // -- Residual evaluation function 435 ierr = PetscMalloc1(1, &resCtx); CHKERRQ(ierr); 436 ierr = PetscMemcpy(resCtx, jacobCtx[fineLevel], 437 sizeof(*jacobCtx[fineLevel])); CHKERRQ(ierr); 438 resCtx->op = ceedData[fineLevel]->opApply; 439 resCtx->qf = ceedData[fineLevel]->qfApply; 440 ierr = SNESSetFunction(snes, R, FormResidual_Ceed, resCtx); CHKERRQ(ierr); 441 442 // -- Prolongation/Restriction evaluation 443 ierr = PetscMalloc1(numLevels, &prolongRestrCtx); CHKERRQ(ierr); 444 ierr = PetscMalloc1(numLevels, &prolongRestrMat); CHKERRQ(ierr); 445 for (PetscInt level = 1; level < numLevels; level++) { 446 // ---- Prolongation/restriction context for level 447 ierr = PetscMalloc1(1, &prolongRestrCtx[level]); CHKERRQ(ierr); 448 ierr = SetupProlongRestrictCtx(comm, appCtx, levelDMs[level-1], 449 levelDMs[level], Ug[level], Uloc[level-1], 450 Uloc[level], ceedData[level-1], 451 ceedData[level], ceed, 452 prolongRestrCtx[level]); CHKERRQ(ierr); 453 454 // ---- Form Action of Jacobian on delta_u 455 ierr = MatCreateShell(comm, Ulsz[level], Ulsz[level-1], Ugsz[level], 456 Ugsz[level-1], prolongRestrCtx[level], 457 &prolongRestrMat[level]); CHKERRQ(ierr); 458 // Note: In PCMG, restriction is the transpose of prolongation 459 ierr = MatShellSetOperation(prolongRestrMat[level], MATOP_MULT, 460 (void (*)(void))Prolong_Ceed); 461 ierr = MatShellSetOperation(prolongRestrMat[level], MATOP_MULT_TRANSPOSE, 462 (void (*)(void))Restrict_Ceed); 463 CHKERRQ(ierr); 464 if (appCtx->memTypeRequested == CEED_MEM_DEVICE) { 465 ierr = MatShellSetVecType(prolongRestrMat[level], VECCUDA); CHKERRQ(ierr); 466 } 467 } 468 469 // --------------------------------------------------------------------------- 470 // Setup dummy SNES for AMG coarse solve 471 // --------------------------------------------------------------------------- 472 if (appCtx->multigridChoice != MULTIGRID_NONE) { 473 // -- Jacobian Matrix 474 ierr = DMSetMatType(levelDMs[0], MATAIJ); CHKERRQ(ierr); 475 ierr = DMCreateMatrix(levelDMs[0], &jacobMatCoarse); CHKERRQ(ierr); 476 477 if (appCtx->degree > 1) { 478 ierr = SNESCreate(comm, &snesCoarse); CHKERRQ(ierr); 479 ierr = SNESSetDM(snesCoarse, levelDMs[0]); CHKERRQ(ierr); 480 ierr = SNESSetSolution(snesCoarse, Ug[0]); CHKERRQ(ierr); 481 482 // -- Jacobian function 483 ierr = SNESSetJacobian(snesCoarse, jacobMatCoarse, jacobMatCoarse, NULL, 484 NULL); CHKERRQ(ierr); 485 486 // -- Residual evaluation function 487 ierr = PetscMalloc1(1, &jacobCoarseCtx); CHKERRQ(ierr); 488 ierr = PetscMemcpy(jacobCoarseCtx, jacobCtx[0], sizeof(*jacobCtx[0])); 489 CHKERRQ(ierr); 490 ierr = SNESSetFunction(snesCoarse, Ug[0], ApplyJacobianCoarse_Ceed, 491 jacobCoarseCtx); CHKERRQ(ierr); 492 493 // -- Update formJacobCtx 494 formJacobCtx->Ucoarse = Ug[0]; 495 formJacobCtx->snesCoarse = snesCoarse; 496 formJacobCtx->jacobMatCoarse = jacobMatCoarse; 497 } 498 } 499 500 // Set Jacobian function 501 if (appCtx->degree > 1) { 502 ierr = SNESSetJacobian(snes, jacobMat[fineLevel], jacobMat[fineLevel], 503 FormJacobian, formJacobCtx); CHKERRQ(ierr); 504 } else { 505 ierr = SNESSetJacobian(snes, jacobMat[0], jacobMatCoarse, 506 SNESComputeJacobianDefaultColor, NULL); 507 CHKERRQ(ierr); 508 } 509 510 // --------------------------------------------------------------------------- 511 // Setup KSP 512 // --------------------------------------------------------------------------- 513 { 514 PC pc; 515 KSP ksp; 516 517 // -- KSP 518 ierr = SNESGetKSP(snes, &ksp); CHKERRQ(ierr); 519 ierr = KSPSetType(ksp, KSPCG); CHKERRQ(ierr); 520 ierr = KSPSetNormType(ksp, KSP_NORM_NATURAL); CHKERRQ(ierr); 521 ierr = KSPSetTolerances(ksp, 1e-10, PETSC_DEFAULT, PETSC_DEFAULT, 522 PETSC_DEFAULT); CHKERRQ(ierr); 523 ierr = KSPSetOptionsPrefix(ksp, "outer_"); CHKERRQ(ierr); 524 525 // -- Preconditioning 526 ierr = KSPGetPC(ksp, &pc); CHKERRQ(ierr); 527 ierr = PCSetDM(pc, levelDMs[fineLevel]); CHKERRQ(ierr); 528 ierr = PCSetOptionsPrefix(pc, "outer_"); CHKERRQ(ierr); 529 530 if (appCtx->multigridChoice == MULTIGRID_NONE) { 531 // ---- No Multigrid 532 ierr = PCSetType(pc, PCJACOBI); CHKERRQ(ierr); 533 ierr = PCJacobiSetType(pc, PC_JACOBI_DIAGONAL); CHKERRQ(ierr); 534 } else if (appCtx->degree == 1) { 535 // ---- AMG for degree 1 536 ierr = PCSetType(pc, PCGAMG); CHKERRQ(ierr); 537 } else { 538 // ---- PCMG 539 ierr = PCSetType(pc, PCMG); CHKERRQ(ierr); 540 541 // ------ PCMG levels 542 ierr = PCMGSetLevels(pc, numLevels, NULL); CHKERRQ(ierr); 543 for (PetscInt level = 0; level < numLevels; level++) { 544 // -------- Smoother 545 KSP kspSmoother, kspEst; 546 PC pcSmoother; 547 548 // ---------- Smoother KSP 549 ierr = PCMGGetSmoother(pc, level, &kspSmoother); CHKERRQ(ierr); 550 ierr = KSPSetDM(kspSmoother, levelDMs[level]); CHKERRQ(ierr); 551 ierr = KSPSetDMActive(kspSmoother, PETSC_FALSE); CHKERRQ(ierr); 552 553 // ---------- Chebyshev options 554 ierr = KSPSetType(kspSmoother, KSPCHEBYSHEV); CHKERRQ(ierr); 555 ierr = KSPChebyshevEstEigSet(kspSmoother, 0, 0.1, 0, 1.1); 556 CHKERRQ(ierr); 557 ierr = KSPChebyshevEstEigGetKSP(kspSmoother, &kspEst); CHKERRQ(ierr); 558 ierr = KSPSetType(kspEst, KSPCG); CHKERRQ(ierr); 559 ierr = KSPChebyshevEstEigSetUseNoisy(kspSmoother, PETSC_TRUE); 560 CHKERRQ(ierr); 561 ierr = KSPSetOperators(kspSmoother, jacobMat[level], jacobMat[level]); 562 CHKERRQ(ierr); 563 564 // ---------- Smoother preconditioner 565 ierr = KSPGetPC(kspSmoother, &pcSmoother); CHKERRQ(ierr); 566 ierr = PCSetType(pcSmoother, PCJACOBI); CHKERRQ(ierr); 567 ierr = PCJacobiSetType(pcSmoother, PC_JACOBI_DIAGONAL); CHKERRQ(ierr); 568 569 // -------- Work vector 570 if (level != fineLevel) { 571 ierr = PCMGSetX(pc, level, Ug[level]); CHKERRQ(ierr); 572 } 573 574 // -------- Level prolongation/restriction operator 575 if (level > 0) { 576 ierr = PCMGSetInterpolation(pc, level, prolongRestrMat[level]); 577 CHKERRQ(ierr); 578 ierr = PCMGSetRestriction(pc, level, prolongRestrMat[level]); 579 CHKERRQ(ierr); 580 } 581 } 582 583 // ------ PCMG coarse solve 584 KSP kspCoarse; 585 PC pcCoarse; 586 587 // -------- Coarse KSP 588 ierr = PCMGGetCoarseSolve(pc, &kspCoarse); CHKERRQ(ierr); 589 ierr = KSPSetType(kspCoarse, KSPPREONLY); CHKERRQ(ierr); 590 ierr = KSPSetOperators(kspCoarse, jacobMatCoarse, jacobMatCoarse); 591 CHKERRQ(ierr); 592 ierr = KSPSetOptionsPrefix(kspCoarse, "coarse_"); CHKERRQ(ierr); 593 594 // -------- Coarse preconditioner 595 ierr = KSPGetPC(kspCoarse, &pcCoarse); CHKERRQ(ierr); 596 ierr = PCSetType(pcCoarse, PCGAMG); CHKERRQ(ierr); 597 ierr = PCSetOptionsPrefix(pcCoarse, "coarse_"); CHKERRQ(ierr); 598 599 ierr = KSPSetFromOptions(kspCoarse); CHKERRQ(ierr); 600 ierr = PCSetFromOptions(pcCoarse); CHKERRQ(ierr); 601 602 // ------ PCMG options 603 ierr = PCMGSetType(pc, PC_MG_MULTIPLICATIVE); CHKERRQ(ierr); 604 ierr = PCMGSetNumberSmooth(pc, 3); CHKERRQ(ierr); 605 ierr = PCMGSetCycleType(pc, pcmgCycleType); CHKERRQ(ierr); 606 } 607 ierr = KSPSetFromOptions(ksp); 608 ierr = PCSetFromOptions(pc); 609 } 610 { 611 // Default to critical-point (CP) line search (related to Wolfe's curvature condition) 612 SNESLineSearch linesearch; 613 614 ierr = SNESGetLineSearch(snes, &linesearch); CHKERRQ(ierr); 615 ierr = SNESLineSearchSetType(linesearch, SNESLINESEARCHCP); CHKERRQ(ierr); 616 } 617 618 ierr = SNESSetFromOptions(snes); CHKERRQ(ierr); 619 620 // Performance logging 621 ierr = PetscLogStagePop(); 622 623 // --------------------------------------------------------------------------- 624 // Set initial guess 625 // --------------------------------------------------------------------------- 626 ierr = PetscObjectSetName((PetscObject)U, ""); CHKERRQ(ierr); 627 ierr = VecSet(U, 0.0); CHKERRQ(ierr); 628 629 // View solution 630 if (appCtx->viewSoln) { 631 ierr = ViewSolution(comm, U, 0, 0.0); CHKERRQ(ierr); 632 } 633 634 // --------------------------------------------------------------------------- 635 // Solve SNES 636 // --------------------------------------------------------------------------- 637 PetscBool snesMonitor = PETSC_FALSE; 638 ierr = PetscOptionsHasName(NULL, NULL, "-snes_monitor", &snesMonitor); 639 CHKERRQ(ierr); 640 641 // Performance logging 642 ierr = PetscLogStageRegister("SNES Solve Stage", &stageSnesSolve); 643 CHKERRQ(ierr); 644 ierr = PetscLogStagePush(stageSnesSolve); CHKERRQ(ierr); 645 646 // Timing 647 ierr = PetscBarrier((PetscObject)snes); CHKERRQ(ierr); 648 startTime = MPI_Wtime(); 649 650 // Solve for each load increment 651 PetscInt increment; 652 for (increment = 1; increment <= appCtx->numIncrements; increment++) { 653 // -- Log increment count 654 if (snesMonitor) { 655 ierr = PetscPrintf(comm, "%d Load Increment\n", increment - 1); 656 CHKERRQ(ierr); 657 } 658 659 // -- Scale the problem 660 PetscScalar loadIncrement = 1.0*increment / appCtx->numIncrements, 661 scalingFactor = loadIncrement / 662 (increment == 1 ? 1 : resCtx->loadIncrement); 663 resCtx->loadIncrement = loadIncrement; 664 if (appCtx->numIncrements > 1 && appCtx->forcingChoice != FORCE_NONE) { 665 ierr = VecScale(F, scalingFactor); CHKERRQ(ierr); 666 } 667 668 // -- Solve 669 ierr = SNESSolve(snes, F, U); CHKERRQ(ierr); 670 671 // -- View solution 672 if (appCtx->viewSoln) { 673 ierr = ViewSolution(comm, U, increment, loadIncrement); CHKERRQ(ierr); 674 } 675 676 // -- Update SNES iteration count 677 PetscInt its; 678 ierr = SNESGetIterationNumber(snes, &its); CHKERRQ(ierr); 679 snesIts += its; 680 ierr = SNESGetLinearSolveIterations(snes, &its); CHKERRQ(ierr); 681 kspIts += its; 682 683 // -- Check for divergence 684 SNESConvergedReason reason; 685 ierr = SNESGetConvergedReason(snes, &reason); CHKERRQ(ierr); 686 if (reason < 0) 687 break; 688 } 689 690 // Timing 691 elapsedTime = MPI_Wtime() - startTime; 692 693 // Performance logging 694 ierr = PetscLogStagePop(); 695 696 // --------------------------------------------------------------------------- 697 // Output summary 698 // --------------------------------------------------------------------------- 699 if (!appCtx->testMode) { 700 // -- SNES 701 SNESType snesType; 702 SNESConvergedReason reason; 703 PetscReal rnorm; 704 ierr = SNESGetType(snes, &snesType); CHKERRQ(ierr); 705 ierr = SNESGetConvergedReason(snes, &reason); CHKERRQ(ierr); 706 ierr = SNESGetFunctionNorm(snes, &rnorm); CHKERRQ(ierr); 707 ierr = PetscPrintf(comm, 708 " SNES:\n" 709 " SNES Type : %s\n" 710 " SNES Convergence : %s\n" 711 " Number of Load Increments : %d\n" 712 " Completed Load Increments : %d\n" 713 " Total SNES Iterations : %D\n" 714 " Final rnorm : %e\n", 715 snesType, SNESConvergedReasons[reason], 716 appCtx->numIncrements, increment - 1, 717 snesIts, (double)rnorm); CHKERRQ(ierr); 718 719 // -- KSP 720 KSP ksp; 721 KSPType kspType; 722 ierr = SNESGetKSP(snes, &ksp); CHKERRQ(ierr); 723 ierr = KSPGetType(ksp, &kspType); CHKERRQ(ierr); 724 ierr = PetscPrintf(comm, 725 " Linear Solver:\n" 726 " KSP Type : %s\n" 727 " Total KSP Iterations : %D\n", 728 kspType, kspIts); CHKERRQ(ierr); 729 730 // -- PC 731 PC pc; 732 PCType pcType; 733 ierr = KSPGetPC(ksp, &pc); CHKERRQ(ierr); 734 ierr = PCGetType(pc, &pcType); CHKERRQ(ierr); 735 ierr = PetscPrintf(comm, 736 " PC Type : %s\n", 737 pcType); CHKERRQ(ierr); 738 739 if (!strcmp(pcType, PCMG)) { 740 PCMGType pcmgType; 741 ierr = PCMGGetType(pc, &pcmgType); CHKERRQ(ierr); 742 ierr = PetscPrintf(comm, 743 " P-Multigrid:\n" 744 " PCMG Type : %s\n" 745 " PCMG Cycle Type : %s\n", 746 PCMGTypes[pcmgType], 747 PCMGCycleTypes[pcmgCycleType]); CHKERRQ(ierr); 748 749 // -- Coarse Solve 750 KSP kspCoarse; 751 PC pcCoarse; 752 PCType pcType; 753 754 ierr = PCMGGetCoarseSolve(pc, &kspCoarse); CHKERRQ(ierr); 755 ierr = KSPGetType(kspCoarse, &kspType); CHKERRQ(ierr); 756 ierr = KSPGetPC(kspCoarse, &pcCoarse); CHKERRQ(ierr); 757 ierr = PCGetType(pcCoarse, &pcType); CHKERRQ(ierr); 758 ierr = PetscPrintf(comm, 759 " Coarse Solve:\n" 760 " KSP Type : %s\n" 761 " PC Type : %s\n", 762 kspType, pcType); CHKERRQ(ierr); 763 } 764 } 765 766 // --------------------------------------------------------------------------- 767 // Compute solve time 768 // --------------------------------------------------------------------------- 769 if (!appCtx->testMode) { 770 ierr = MPI_Allreduce(&elapsedTime, &minTime, 1, MPI_DOUBLE, MPI_MIN, comm); 771 CHKERRQ(ierr); 772 ierr = MPI_Allreduce(&elapsedTime, &maxTime, 1, MPI_DOUBLE, MPI_MAX, comm); 773 CHKERRQ(ierr); 774 ierr = PetscPrintf(comm, 775 " Performance:\n" 776 " SNES Solve Time : %g (%g) sec\n" 777 " DoFs/Sec in SNES : %g (%g) million\n", 778 maxTime, minTime, 1e-6*Ugsz[fineLevel]*kspIts/maxTime, 779 1e-6*Ugsz[fineLevel]*kspIts/minTime); CHKERRQ(ierr); 780 } 781 782 // --------------------------------------------------------------------------- 783 // Compute error 784 // --------------------------------------------------------------------------- 785 if (appCtx->forcingChoice == FORCE_MMS) { 786 CeedScalar l2Error = 1., l2Unorm = 1.; 787 const CeedScalar *truearray; 788 Vec errorVec, trueVec; 789 790 // -- Work vectors 791 ierr = VecDuplicate(U, &errorVec); CHKERRQ(ierr); 792 ierr = VecSet(errorVec, 0.0); CHKERRQ(ierr); 793 ierr = VecDuplicate(U, &trueVec); CHKERRQ(ierr); 794 ierr = VecSet(trueVec, 0.0); CHKERRQ(ierr); 795 796 // -- Assemble global true solution vector 797 CeedVectorGetArrayRead(ceedData[fineLevel]->truesoln, 798 appCtx->memTypeRequested, &truearray); 799 if (appCtx->memTypeRequested == CEED_MEM_HOST) { 800 ierr = VecPlaceArray(resCtx->Yloc, (PetscScalar *)truearray); 801 CHKERRQ(ierr); 802 } else { 803 ierr = VecCUDAPlaceArray(resCtx->Yloc, (PetscScalar *)truearray); 804 CHKERRQ(ierr); 805 } 806 ierr = DMLocalToGlobal(resCtx->dm, resCtx->Yloc, INSERT_VALUES, trueVec); 807 CHKERRQ(ierr); 808 if (appCtx->memTypeRequested == CEED_MEM_HOST) { 809 ierr = VecResetArray(resCtx->Yloc); CHKERRQ(ierr); 810 } else { 811 ierr = VecCUDAResetArray(resCtx->Yloc); CHKERRQ(ierr); 812 } 813 CeedVectorRestoreArrayRead(ceedData[fineLevel]->truesoln, &truearray); 814 815 // -- Compute L2 error 816 ierr = VecWAXPY(errorVec, -1.0, U, trueVec); CHKERRQ(ierr); 817 ierr = VecNorm(errorVec, NORM_2, &l2Error); CHKERRQ(ierr); 818 ierr = VecNorm(U, NORM_2, &l2Unorm); CHKERRQ(ierr); 819 l2Error /= l2Unorm; 820 821 // -- Output 822 if (!appCtx->testMode || l2Error > 0.05) { 823 ierr = PetscPrintf(comm, 824 " L2 Error : %e\n", 825 l2Error); CHKERRQ(ierr); 826 } 827 828 // -- Cleanup 829 ierr = VecDestroy(&errorVec); CHKERRQ(ierr); 830 ierr = VecDestroy(&trueVec); CHKERRQ(ierr); 831 } 832 833 // --------------------------------------------------------------------------- 834 // Compute energy 835 // --------------------------------------------------------------------------- 836 if (!appCtx->testMode) { 837 // -- Compute L2 error 838 CeedScalar energy; 839 ierr = ComputeStrainEnergy(dmEnergy, resCtx, ceedData[fineLevel]->opEnergy, 840 U, &energy); CHKERRQ(ierr); 841 842 // -- Output 843 ierr = PetscPrintf(comm, 844 " Strain Energy : %e\n", 845 energy); CHKERRQ(ierr); 846 } 847 848 // --------------------------------------------------------------------------- 849 // Output diagnostic quantities 850 // --------------------------------------------------------------------------- 851 if (appCtx->viewSoln || appCtx->viewFinalSoln) { 852 // -- Setup context 853 UserMult diagnosticCtx; 854 ierr = PetscMalloc1(1, &diagnosticCtx); CHKERRQ(ierr); 855 ierr = PetscMemcpy(diagnosticCtx, resCtx, sizeof(*resCtx)); CHKERRQ(ierr); 856 diagnosticCtx->dm = dmDiagnostic; 857 diagnosticCtx->op = ceedData[fineLevel]->opDiagnostic; 858 859 // -- Compute and output 860 ierr = ViewDiagnosticQuantities(comm, levelDMs[fineLevel], diagnosticCtx, U, 861 ceedData[fineLevel]->ErestrictDiagnostic); 862 CHKERRQ(ierr); 863 864 // -- Cleanup 865 ierr = PetscFree(diagnosticCtx); CHKERRQ(ierr); 866 } 867 868 // --------------------------------------------------------------------------- 869 // Free objects 870 // --------------------------------------------------------------------------- 871 // Data in arrays per level 872 for (PetscInt level = 0; level < numLevels; level++) { 873 // Vectors 874 ierr = VecDestroy(&Ug[level]); CHKERRQ(ierr); 875 ierr = VecDestroy(&Uloc[level]); CHKERRQ(ierr); 876 877 // Jacobian matrix and data 878 ierr = VecDestroy(&jacobCtx[level]->Yloc); CHKERRQ(ierr); 879 ierr = MatDestroy(&jacobMat[level]); CHKERRQ(ierr); 880 ierr = PetscFree(jacobCtx[level]); CHKERRQ(ierr); 881 882 // Prolongation/Restriction matrix and data 883 if (level > 0) { 884 ierr = PetscFree(prolongRestrCtx[level]); CHKERRQ(ierr); 885 ierr = MatDestroy(&prolongRestrMat[level]); CHKERRQ(ierr); 886 } 887 888 // DM 889 ierr = DMDestroy(&levelDMs[level]); CHKERRQ(ierr); 890 891 // libCEED objects 892 ierr = CeedDataDestroy(level, ceedData[level]); CHKERRQ(ierr); 893 } 894 895 // Arrays 896 ierr = PetscFree(Ug); CHKERRQ(ierr); 897 ierr = PetscFree(Uloc); CHKERRQ(ierr); 898 ierr = PetscFree(Ugsz); CHKERRQ(ierr); 899 ierr = PetscFree(Ulsz); CHKERRQ(ierr); 900 ierr = PetscFree(Ulocsz); CHKERRQ(ierr); 901 ierr = PetscFree(jacobCtx); CHKERRQ(ierr); 902 ierr = PetscFree(jacobMat); CHKERRQ(ierr); 903 ierr = PetscFree(prolongRestrCtx); CHKERRQ(ierr); 904 ierr = PetscFree(prolongRestrMat); CHKERRQ(ierr); 905 ierr = PetscFree(appCtx->levelDegrees); CHKERRQ(ierr); 906 ierr = PetscFree(ceedData); CHKERRQ(ierr); 907 908 // libCEED objects 909 CeedQFunctionDestroy(&qfRestrict); 910 CeedQFunctionDestroy(&qfProlong); 911 CeedDestroy(&ceed); 912 913 // PETSc objects 914 ierr = VecDestroy(&U); CHKERRQ(ierr); 915 ierr = VecDestroy(&R); CHKERRQ(ierr); 916 ierr = VecDestroy(&Rloc); CHKERRQ(ierr); 917 ierr = VecDestroy(&F); CHKERRQ(ierr); 918 ierr = VecDestroy(&Floc); CHKERRQ(ierr); 919 ierr = MatDestroy(&jacobMatCoarse); CHKERRQ(ierr); 920 ierr = SNESDestroy(&snes); CHKERRQ(ierr); 921 ierr = SNESDestroy(&snesCoarse); CHKERRQ(ierr); 922 ierr = DMDestroy(&dmOrig); CHKERRQ(ierr); 923 ierr = DMDestroy(&dmEnergy); CHKERRQ(ierr); 924 ierr = DMDestroy(&dmDiagnostic); CHKERRQ(ierr); 925 ierr = PetscFree(levelDMs); CHKERRQ(ierr); 926 927 // Structs 928 ierr = PetscFree(resCtx); CHKERRQ(ierr); 929 ierr = PetscFree(formJacobCtx); CHKERRQ(ierr); 930 ierr = PetscFree(jacobCoarseCtx); CHKERRQ(ierr); 931 ierr = PetscFree(appCtx); CHKERRQ(ierr); 932 ierr = PetscFree(phys); CHKERRQ(ierr); 933 ierr = PetscFree(physSmoother); CHKERRQ(ierr); 934 ierr = PetscFree(units); CHKERRQ(ierr); 935 936 return PetscFinalize(); 937 } 938