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 2 -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, ceedFine = NULL; 70 CeedData *ceedData; 71 CeedQFunction qfRestrict = NULL, qfProlong = NULL; 72 // Parameters 73 PetscInt ncompu = 3; // 3 DoFs in 3D 74 PetscInt ncompe = 1, ncompd = 2; // 1 energy output, 2 diagnostic 75 PetscInt numLevels = 1, fineLevel = 0; 76 PetscInt *Ugsz, *Ulsz, *Ulocsz; // sz: size 77 PetscInt snesIts = 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 // Setup DM 108 // --------------------------------------------------------------------------- 109 // Performance logging 110 ierr = PetscLogStageRegister("DM and Vector Setup Stage", &stageDMSetup); 111 CHKERRQ(ierr); 112 ierr = PetscLogStagePush(stageDMSetup); CHKERRQ(ierr); 113 114 // -- Create distributed DM from mesh file 115 ierr = CreateDistributedDM(comm, appCtx, &dmOrig); CHKERRQ(ierr); 116 117 // -- Setup DM by polynomial degree 118 ierr = PetscMalloc1(numLevels, &levelDMs); CHKERRQ(ierr); 119 for (PetscInt level = 0; level < numLevels; level++) { 120 ierr = DMClone(dmOrig, &levelDMs[level]); CHKERRQ(ierr); 121 ierr = SetupDMByDegree(levelDMs[level], appCtx, appCtx->levelDegrees[level], 122 PETSC_TRUE, ncompu); CHKERRQ(ierr); 123 // -- Label field components for viewing 124 // Empty name for conserved field (because there is only one field) 125 PetscSection section; 126 ierr = DMGetLocalSection(levelDMs[level], §ion); CHKERRQ(ierr); 127 ierr = PetscSectionSetFieldName(section, 0, "Displacement"); CHKERRQ(ierr); 128 ierr = PetscSectionSetComponentName(section, 0, 0, "DisplacementX"); 129 CHKERRQ(ierr); 130 ierr = PetscSectionSetComponentName(section, 0, 1, "DisplacementY"); 131 CHKERRQ(ierr); 132 ierr = PetscSectionSetComponentName(section, 0, 2, "DisplacementZ"); 133 CHKERRQ(ierr); 134 } 135 136 // -- Setup postprocessing DMs 137 ierr = DMClone(dmOrig, &dmEnergy); CHKERRQ(ierr); 138 ierr = SetupDMByDegree(dmEnergy, appCtx, appCtx->levelDegrees[fineLevel], 139 PETSC_FALSE, ncompe); CHKERRQ(ierr); 140 ierr = DMClone(dmOrig, &dmDiagnostic); CHKERRQ(ierr); 141 ierr = SetupDMByDegree(dmDiagnostic, appCtx, appCtx->levelDegrees[fineLevel], 142 PETSC_FALSE, ncompu + ncompd); CHKERRQ(ierr); 143 { 144 // -- Label field components for viewing 145 // Empty name for conserved field (because there is only one field) 146 PetscSection section; 147 ierr = DMGetLocalSection(dmDiagnostic, §ion); CHKERRQ(ierr); 148 ierr = PetscSectionSetFieldName(section, 0, "Diagnostics"); CHKERRQ(ierr); 149 ierr = PetscSectionSetComponentName(section, 0, 0, "DisplacementX"); 150 CHKERRQ(ierr); 151 ierr = PetscSectionSetComponentName(section, 0, 1, "DisplacementY"); 152 CHKERRQ(ierr); 153 ierr = PetscSectionSetComponentName(section, 0, 2, "DisplacementZ"); 154 CHKERRQ(ierr); 155 ierr = PetscSectionSetComponentName(section, 0, 3, "CondensedPressure"); 156 CHKERRQ(ierr); 157 ierr = PetscSectionSetComponentName(section, 0, 4, "StrainEnergyDensity"); 158 CHKERRQ(ierr); 159 } 160 161 // --------------------------------------------------------------------------- 162 // Setup solution and work vectors 163 // --------------------------------------------------------------------------- 164 // Allocate arrays 165 ierr = PetscMalloc1(numLevels, &Ug); CHKERRQ(ierr); 166 ierr = PetscMalloc1(numLevels, &Uloc); CHKERRQ(ierr); 167 ierr = PetscMalloc1(numLevels, &Ugsz); CHKERRQ(ierr); 168 ierr = PetscMalloc1(numLevels, &Ulsz); CHKERRQ(ierr); 169 ierr = PetscMalloc1(numLevels, &Ulocsz); CHKERRQ(ierr); 170 171 // -- Setup solution vectors for each level 172 for (PetscInt level = 0; level < numLevels; level++) { 173 // -- Create global unknown vector U 174 ierr = DMCreateGlobalVector(levelDMs[level], &Ug[level]); CHKERRQ(ierr); 175 ierr = VecGetSize(Ug[level], &Ugsz[level]); CHKERRQ(ierr); 176 // Note: Local size for matShell 177 ierr = VecGetLocalSize(Ug[level], &Ulsz[level]); CHKERRQ(ierr); 178 179 // -- Create local unknown vector Uloc 180 ierr = DMCreateLocalVector(levelDMs[level], &Uloc[level]); CHKERRQ(ierr); 181 // Note: local size for libCEED 182 ierr = VecGetSize(Uloc[level], &Ulocsz[level]); CHKERRQ(ierr); 183 } 184 185 // -- Create residual and forcing vectors 186 ierr = VecDuplicate(Ug[fineLevel], &U); CHKERRQ(ierr); 187 ierr = VecDuplicate(Ug[fineLevel], &R); CHKERRQ(ierr); 188 ierr = VecDuplicate(Ug[fineLevel], &F); CHKERRQ(ierr); 189 ierr = VecDuplicate(Uloc[fineLevel], &Rloc); CHKERRQ(ierr); 190 ierr = VecDuplicate(Uloc[fineLevel], &Floc); CHKERRQ(ierr); 191 192 // Performance logging 193 ierr = PetscLogStagePop(); 194 195 // --------------------------------------------------------------------------- 196 // Set up libCEED 197 // --------------------------------------------------------------------------- 198 // Performance logging 199 ierr = PetscLogStageRegister("libCEED Setup Stage", &stageLibceedSetup); 200 CHKERRQ(ierr); 201 ierr = PetscLogStagePush(stageLibceedSetup); CHKERRQ(ierr); 202 203 // Initalize backend 204 CeedInit(appCtx->ceedResource, &ceed); 205 if (appCtx->degree > 4 && appCtx->ceedResourceFine[0]) 206 CeedInit(appCtx->ceedResourceFine, &ceedFine); 207 208 // -- Create libCEED local forcing vector 209 CeedVector forceCeed; 210 CeedScalar *f; 211 if (appCtx->forcingChoice != FORCE_NONE) { 212 ierr = VecGetArray(Floc, &f); CHKERRQ(ierr); 213 CeedVectorCreate(ceed, Ulocsz[fineLevel], &forceCeed); 214 CeedVectorSetArray(forceCeed, CEED_MEM_HOST, CEED_USE_POINTER, f); 215 } 216 217 // -- Restriction and prolongation QFunction 218 if (appCtx->multigridChoice != MULTIGRID_NONE) { 219 CeedQFunctionCreateIdentity(ceed, ncompu, CEED_EVAL_NONE, CEED_EVAL_INTERP, 220 &qfRestrict); 221 CeedQFunctionCreateIdentity(ceed, ncompu, CEED_EVAL_INTERP, CEED_EVAL_NONE, 222 &qfProlong); 223 } 224 225 // -- Setup libCEED objects 226 ierr = PetscMalloc1(numLevels, &ceedData); CHKERRQ(ierr); 227 // ---- Setup residual evaluator and geometric information 228 ierr = PetscCalloc1(1, &ceedData[fineLevel]); CHKERRQ(ierr); 229 { 230 bool highOrder = (appCtx->levelDegrees[fineLevel] > 4 && ceedFine); 231 Ceed levelCeed = highOrder ? ceedFine : ceed; 232 ierr = SetupLibceedFineLevel(levelDMs[fineLevel], dmEnergy, dmDiagnostic, 233 levelCeed, appCtx, phys, ceedData, fineLevel, 234 ncompu, Ugsz[fineLevel], Ulocsz[fineLevel], 235 forceCeed, qfRestrict, qfProlong); 236 CHKERRQ(ierr); 237 } 238 // ---- Setup Jacobian evaluator and prolongation/restriction 239 for (PetscInt level = 0; level < numLevels; level++) { 240 if (level != fineLevel) { 241 ierr = PetscCalloc1(1, &ceedData[level]); CHKERRQ(ierr); 242 } 243 244 // Note: use high order ceed, if specified and degree > 4 245 bool highOrder = (appCtx->levelDegrees[level] > 4 && ceedFine); 246 Ceed levelCeed = highOrder ? ceedFine : ceed; 247 ierr = SetupLibceedLevel(levelDMs[level], levelCeed, appCtx, phys, 248 ceedData, level, ncompu, Ugsz[level], 249 Ulocsz[level], forceCeed, qfRestrict, 250 qfProlong); CHKERRQ(ierr); 251 } 252 253 // Performance logging 254 ierr = PetscLogStagePop(); 255 256 // --------------------------------------------------------------------------- 257 // Setup global forcing vector 258 // --------------------------------------------------------------------------- 259 ierr = VecZeroEntries(F); CHKERRQ(ierr); 260 261 if (appCtx->forcingChoice != FORCE_NONE) { 262 ierr = VecRestoreArray(Floc, &f); CHKERRQ(ierr); 263 ierr = DMLocalToGlobal(levelDMs[fineLevel], Floc, ADD_VALUES, F); 264 CHKERRQ(ierr); 265 CeedVectorDestroy(&forceCeed); 266 } 267 268 // --------------------------------------------------------------------------- 269 // Print problem summary 270 // --------------------------------------------------------------------------- 271 if (!appCtx->testMode) { 272 const char *usedresource; 273 CeedGetResource(ceed, &usedresource); 274 275 ierr = PetscPrintf(comm, 276 "\n-- Elasticity Example - libCEED + PETSc --\n" 277 " libCEED:\n" 278 " libCEED Backend : %s\n", 279 usedresource); CHKERRQ(ierr); 280 281 if (ceedFine) { 282 ierr = PetscPrintf(comm, 283 " libCEED Backend - high order : %s\n", 284 appCtx->ceedResourceFine); CHKERRQ(ierr); 285 } 286 287 ierr = PetscPrintf(comm, 288 " Problem:\n" 289 " Problem Name : %s\n" 290 " Forcing Function : %s\n" 291 " Mesh:\n" 292 " File : %s\n" 293 " Number of 1D Basis Nodes (p) : %d\n" 294 " Number of 1D Quadrature Points (q) : %d\n" 295 " Global nodes : %D\n" 296 " Owned nodes : %D\n" 297 " DoF per node : %D\n" 298 " Multigrid:\n" 299 " Type : %s\n" 300 " Number of Levels : %d\n", 301 problemTypesForDisp[appCtx->problemChoice], 302 forcingTypesForDisp[appCtx->forcingChoice], 303 appCtx->meshFile[0] ? appCtx->meshFile : "Box Mesh", 304 appCtx->degree + 1, appCtx->degree + 1, 305 Ugsz[fineLevel]/ncompu, Ulsz[fineLevel]/ncompu, ncompu, 306 (appCtx->degree == 1 && 307 appCtx->multigridChoice != MULTIGRID_NONE) ? 308 "Algebraic multigrid" : 309 multigridTypesForDisp[appCtx->multigridChoice], 310 (appCtx->degree == 1 || 311 appCtx->multigridChoice == MULTIGRID_NONE) ? 312 0 : numLevels); CHKERRQ(ierr); 313 314 if (appCtx->multigridChoice != MULTIGRID_NONE) { 315 for (PetscInt i = 0; i < 2; i++) { 316 CeedInt level = i ? fineLevel : 0; 317 ierr = PetscPrintf(comm, 318 " Level %D (%s):\n" 319 " Number of 1D Basis Nodes (p) : %d\n" 320 " Global Nodes : %D\n" 321 " Owned Nodes : %D\n", 322 level, i ? "fine" : "coarse", 323 appCtx->levelDegrees[level] + 1, 324 Ugsz[level]/ncompu, Ulsz[level]/ncompu); 325 CHKERRQ(ierr); 326 } 327 } 328 } 329 330 // --------------------------------------------------------------------------- 331 // Setup SNES 332 // --------------------------------------------------------------------------- 333 // Performance logging 334 ierr = PetscLogStageRegister("SNES Setup Stage", &stageSnesSetup); 335 CHKERRQ(ierr); 336 ierr = PetscLogStagePush(stageSnesSetup); CHKERRQ(ierr); 337 338 // Create SNES 339 ierr = SNESCreate(comm, &snes); CHKERRQ(ierr); 340 ierr = SNESSetDM(snes, levelDMs[fineLevel]); CHKERRQ(ierr); 341 342 // -- Jacobian evaluators 343 ierr = PetscMalloc1(numLevels, &jacobCtx); CHKERRQ(ierr); 344 ierr = PetscMalloc1(numLevels, &jacobMat); CHKERRQ(ierr); 345 for (PetscInt level = 0; level < numLevels; level++) { 346 // -- Jacobian context for level 347 ierr = PetscMalloc1(1, &jacobCtx[level]); CHKERRQ(ierr); 348 ierr = SetupJacobianCtx(comm, appCtx, levelDMs[level], Ug[level], 349 Uloc[level], ceedData[level], ceed, phys, 350 physSmoother, jacobCtx[level]); CHKERRQ(ierr); 351 352 // -- Form Action of Jacobian on delta_u 353 ierr = MatCreateShell(comm, Ulsz[level], Ulsz[level], Ugsz[level], 354 Ugsz[level], jacobCtx[level], &jacobMat[level]); 355 CHKERRQ(ierr); 356 ierr = MatShellSetOperation(jacobMat[level], MATOP_MULT, 357 (void (*)(void))ApplyJacobian_Ceed); 358 CHKERRQ(ierr); 359 ierr = MatShellSetOperation(jacobMat[level], MATOP_GET_DIAGONAL, 360 (void(*)(void))GetDiag_Ceed); 361 362 } 363 // Note: FormJacobian updates Jacobian matrices on each level 364 // and assembles the Jpre matrix, if needed 365 ierr = PetscMalloc1(1, &formJacobCtx); CHKERRQ(ierr); 366 formJacobCtx->jacobCtx = jacobCtx; 367 formJacobCtx->numLevels = numLevels; 368 formJacobCtx->jacobMat = jacobMat; 369 370 // -- Residual evaluation function 371 ierr = PetscMalloc1(1, &resCtx); CHKERRQ(ierr); 372 ierr = PetscMemcpy(resCtx, jacobCtx[fineLevel], 373 sizeof(*jacobCtx[fineLevel])); CHKERRQ(ierr); 374 resCtx->op = ceedData[fineLevel]->opApply; 375 resCtx->qf = ceedData[fineLevel]->qfApply; 376 ierr = SNESSetFunction(snes, R, FormResidual_Ceed, resCtx); CHKERRQ(ierr); 377 378 // -- Prolongation/Restriction evaluation 379 ierr = PetscMalloc1(numLevels, &prolongRestrCtx); CHKERRQ(ierr); 380 ierr = PetscMalloc1(numLevels, &prolongRestrMat); CHKERRQ(ierr); 381 for (PetscInt level = 1; level < numLevels; level++) { 382 // ---- Prolongation/restriction context for level 383 ierr = PetscMalloc1(1, &prolongRestrCtx[level]); CHKERRQ(ierr); 384 ierr = SetupProlongRestrictCtx(comm, levelDMs[level-1], levelDMs[level], 385 Ug[level], Uloc[level-1], Uloc[level], 386 ceedData[level-1], ceedData[level], ceed, 387 prolongRestrCtx[level]); CHKERRQ(ierr); 388 389 // ---- Form Action of Jacobian on delta_u 390 ierr = MatCreateShell(comm, Ulsz[level], Ulsz[level-1], Ugsz[level], 391 Ugsz[level-1], prolongRestrCtx[level], 392 &prolongRestrMat[level]); CHKERRQ(ierr); 393 // Note: In PCMG, restriction is the transpose of prolongation 394 ierr = MatShellSetOperation(prolongRestrMat[level], MATOP_MULT, 395 (void (*)(void))Prolong_Ceed); 396 ierr = MatShellSetOperation(prolongRestrMat[level], MATOP_MULT_TRANSPOSE, 397 (void (*)(void))Restrict_Ceed); 398 CHKERRQ(ierr); 399 } 400 401 // --------------------------------------------------------------------------- 402 // Setup dummy SNES for AMG coarse solve 403 // --------------------------------------------------------------------------- 404 if (appCtx->multigridChoice != MULTIGRID_NONE) { 405 // -- Jacobian Matrix 406 ierr = DMSetMatType(levelDMs[0], MATAIJ); CHKERRQ(ierr); 407 ierr = DMCreateMatrix(levelDMs[0], &jacobMatCoarse); CHKERRQ(ierr); 408 409 if (appCtx->degree > 1) { 410 ierr = SNESCreate(comm, &snesCoarse); CHKERRQ(ierr); 411 ierr = SNESSetDM(snesCoarse, levelDMs[0]); CHKERRQ(ierr); 412 ierr = SNESSetSolution(snesCoarse, Ug[0]); CHKERRQ(ierr); 413 414 // -- Jacobian function 415 ierr = SNESSetJacobian(snesCoarse, jacobMatCoarse, jacobMatCoarse, NULL, 416 NULL); CHKERRQ(ierr); 417 418 // -- Residual evaluation function 419 ierr = PetscMalloc1(1, &jacobCoarseCtx); CHKERRQ(ierr); 420 ierr = PetscMemcpy(jacobCoarseCtx, jacobCtx[0], sizeof(*jacobCtx[0])); 421 CHKERRQ(ierr); 422 ierr = SNESSetFunction(snesCoarse, Ug[0], ApplyJacobianCoarse_Ceed, 423 jacobCoarseCtx); CHKERRQ(ierr); 424 425 // -- Update formJacobCtx 426 formJacobCtx->Ucoarse = Ug[0]; 427 formJacobCtx->snesCoarse = snesCoarse; 428 formJacobCtx->jacobMatCoarse = jacobMatCoarse; 429 } 430 } 431 432 // Set Jacobian function 433 if (appCtx->degree > 1) { 434 ierr = SNESSetJacobian(snes, jacobMat[fineLevel], jacobMat[fineLevel], 435 FormJacobian, formJacobCtx); CHKERRQ(ierr); 436 } else { 437 ierr = SNESSetJacobian(snes, jacobMat[0], jacobMatCoarse, 438 SNESComputeJacobianDefaultColor, NULL); 439 CHKERRQ(ierr); 440 } 441 442 // --------------------------------------------------------------------------- 443 // Setup KSP 444 // --------------------------------------------------------------------------- 445 { 446 PC pc; 447 KSP ksp; 448 449 // -- KSP 450 ierr = SNESGetKSP(snes, &ksp); CHKERRQ(ierr); 451 ierr = KSPSetType(ksp, KSPCG); CHKERRQ(ierr); 452 ierr = KSPSetNormType(ksp, KSP_NORM_NATURAL); CHKERRQ(ierr); 453 ierr = KSPSetTolerances(ksp, 1e-10, PETSC_DEFAULT, PETSC_DEFAULT, 454 PETSC_DEFAULT); CHKERRQ(ierr); 455 ierr = KSPSetOptionsPrefix(ksp, "outer_"); CHKERRQ(ierr); 456 457 // -- Preconditioning 458 ierr = KSPGetPC(ksp, &pc); CHKERRQ(ierr); 459 ierr = PCSetDM(pc, levelDMs[fineLevel]); CHKERRQ(ierr); 460 ierr = PCSetOptionsPrefix(pc, "outer_"); CHKERRQ(ierr); 461 462 if (appCtx->multigridChoice == MULTIGRID_NONE) { 463 // ---- No Multigrid 464 ierr = PCSetType(pc, PCJACOBI); CHKERRQ(ierr); 465 ierr = PCJacobiSetType(pc, PC_JACOBI_DIAGONAL); CHKERRQ(ierr); 466 } else if (appCtx->degree == 1) { 467 // ---- AMG for degree 1 468 ierr = PCSetType(pc, PCGAMG); CHKERRQ(ierr); 469 } else { 470 // ---- PCMG 471 ierr = PCSetType(pc, PCMG); CHKERRQ(ierr); 472 473 // ------ PCMG levels 474 ierr = PCMGSetLevels(pc, numLevels, NULL); CHKERRQ(ierr); 475 for (PetscInt level = 0; level < numLevels; level++) { 476 // -------- Smoother 477 KSP kspSmoother, kspEst; 478 PC pcSmoother; 479 480 // ---------- Smoother KSP 481 ierr = PCMGGetSmoother(pc, level, &kspSmoother); CHKERRQ(ierr); 482 ierr = KSPSetDM(kspSmoother, levelDMs[level]); CHKERRQ(ierr); 483 ierr = KSPSetDMActive(kspSmoother, PETSC_FALSE); CHKERRQ(ierr); 484 485 // ---------- Chebyshev options 486 ierr = KSPSetType(kspSmoother, KSPCHEBYSHEV); CHKERRQ(ierr); 487 ierr = KSPChebyshevEstEigSet(kspSmoother, 0, 0.1, 0, 1.1); 488 CHKERRQ(ierr); 489 ierr = KSPChebyshevEstEigGetKSP(kspSmoother, &kspEst); CHKERRQ(ierr); 490 ierr = KSPSetType(kspEst, KSPCG); CHKERRQ(ierr); 491 ierr = KSPChebyshevEstEigSetUseNoisy(kspSmoother, PETSC_TRUE); 492 CHKERRQ(ierr); 493 ierr = KSPSetOperators(kspSmoother, jacobMat[level], jacobMat[level]); 494 CHKERRQ(ierr); 495 496 // ---------- Smoother preconditioner 497 ierr = KSPGetPC(kspSmoother, &pcSmoother); CHKERRQ(ierr); 498 ierr = PCSetType(pcSmoother, PCJACOBI); CHKERRQ(ierr); 499 ierr = PCJacobiSetType(pcSmoother, PC_JACOBI_DIAGONAL); CHKERRQ(ierr); 500 501 // -------- Work vector 502 if (level != fineLevel) { 503 ierr = PCMGSetX(pc, level, Ug[level]); CHKERRQ(ierr); 504 } 505 506 // -------- Level prolongation/restriction operator 507 if (level > 0) { 508 ierr = PCMGSetInterpolation(pc, level, prolongRestrMat[level]); 509 CHKERRQ(ierr); 510 ierr = PCMGSetRestriction(pc, level, prolongRestrMat[level]); 511 CHKERRQ(ierr); 512 } 513 } 514 515 // ------ PCMG coarse solve 516 KSP kspCoarse; 517 PC pcCoarse; 518 519 // -------- Coarse KSP 520 ierr = PCMGGetCoarseSolve(pc, &kspCoarse); CHKERRQ(ierr); 521 ierr = KSPSetType(kspCoarse, KSPPREONLY); CHKERRQ(ierr); 522 ierr = KSPSetOperators(kspCoarse, jacobMatCoarse, jacobMatCoarse); 523 CHKERRQ(ierr); 524 ierr = KSPSetOptionsPrefix(kspCoarse, "coarse_"); CHKERRQ(ierr); 525 526 // -------- Coarse preconditioner 527 ierr = KSPGetPC(kspCoarse, &pcCoarse); CHKERRQ(ierr); 528 ierr = PCSetType(pcCoarse, PCGAMG); CHKERRQ(ierr); 529 ierr = PCSetOptionsPrefix(pcCoarse, "coarse_"); CHKERRQ(ierr); 530 531 ierr = KSPSetFromOptions(kspCoarse); CHKERRQ(ierr); 532 ierr = PCSetFromOptions(pcCoarse); CHKERRQ(ierr); 533 534 // ------ PCMG options 535 ierr = PCMGSetType(pc, PC_MG_MULTIPLICATIVE); CHKERRQ(ierr); 536 ierr = PCMGSetNumberSmooth(pc, 3); CHKERRQ(ierr); 537 ierr = PCMGSetCycleType(pc, pcmgCycleType); CHKERRQ(ierr); 538 } 539 ierr = KSPSetFromOptions(ksp); 540 ierr = PCSetFromOptions(pc); 541 } 542 { 543 // Default to critical-point (CP) line search (related to Wolfe's curvature condition) 544 SNESLineSearch linesearch; 545 546 ierr = SNESGetLineSearch(snes, &linesearch); CHKERRQ(ierr); 547 ierr = SNESLineSearchSetType(linesearch, SNESLINESEARCHCP); CHKERRQ(ierr); 548 } 549 550 ierr = SNESSetFromOptions(snes); CHKERRQ(ierr); 551 552 // Performance logging 553 ierr = PetscLogStagePop(); 554 555 // --------------------------------------------------------------------------- 556 // Set initial guess 557 // --------------------------------------------------------------------------- 558 ierr = VecSet(U, 0.0); CHKERRQ(ierr); 559 560 // View solution 561 if (appCtx->viewSoln) { 562 ierr = ViewSolution(comm, U, 0, 0.0); CHKERRQ(ierr); 563 } 564 565 // --------------------------------------------------------------------------- 566 // Solve SNES 567 // --------------------------------------------------------------------------- 568 PetscBool snesMonitor = PETSC_FALSE; 569 ierr = PetscOptionsHasName(NULL, NULL, "-snes_monitor", &snesMonitor); 570 CHKERRQ(ierr); 571 572 // Performance logging 573 ierr = PetscLogStageRegister("SNES Solve Stage", &stageSnesSolve); 574 CHKERRQ(ierr); 575 ierr = PetscLogStagePush(stageSnesSolve); CHKERRQ(ierr); 576 577 // Timing 578 ierr = PetscBarrier((PetscObject)snes); CHKERRQ(ierr); 579 startTime = MPI_Wtime(); 580 581 // Solve for each load increment 582 PetscInt increment; 583 for (increment = 1; increment <= appCtx->numIncrements; increment++) { 584 // -- Log increment count 585 if (snesMonitor) { 586 ierr = PetscPrintf(comm, "%d Load Increment\n", increment - 1); 587 CHKERRQ(ierr); 588 } 589 590 // -- Scale the problem 591 PetscScalar loadIncrement = 1.0*increment / appCtx->numIncrements, 592 scalingFactor = loadIncrement / 593 (increment == 1 ? 1 : resCtx->loadIncrement); 594 resCtx->loadIncrement = loadIncrement; 595 if (appCtx->numIncrements > 1 && appCtx->forcingChoice != FORCE_NONE) { 596 ierr = VecScale(F, scalingFactor); CHKERRQ(ierr); 597 } 598 599 // -- Solve 600 ierr = SNESSolve(snes, F, U); CHKERRQ(ierr); 601 602 // -- View solution 603 if (appCtx->viewSoln) { 604 ierr = ViewSolution(comm, U, increment, loadIncrement); CHKERRQ(ierr); 605 } 606 607 // -- Update SNES iteration count 608 PetscInt its; 609 ierr = SNESGetIterationNumber(snes, &its); CHKERRQ(ierr); 610 snesIts += its; 611 612 // -- Check for divergence 613 SNESConvergedReason reason; 614 ierr = SNESGetConvergedReason(snes, &reason); CHKERRQ(ierr); 615 if (reason < 0) 616 break; 617 } 618 619 // Timing 620 elapsedTime = MPI_Wtime() - startTime; 621 622 // Performance logging 623 ierr = PetscLogStagePop(); 624 625 // --------------------------------------------------------------------------- 626 // Output summary 627 // --------------------------------------------------------------------------- 628 if (!appCtx->testMode) { 629 // -- SNES 630 SNESType snesType; 631 SNESConvergedReason reason; 632 PetscReal rnorm; 633 ierr = SNESGetType(snes, &snesType); CHKERRQ(ierr); 634 ierr = SNESGetConvergedReason(snes, &reason); CHKERRQ(ierr); 635 ierr = SNESGetFunctionNorm(snes, &rnorm); CHKERRQ(ierr); 636 ierr = PetscPrintf(comm, 637 " SNES:\n" 638 " SNES Type : %s\n" 639 " SNES Convergence : %s\n" 640 " Number of Load Increments : %d\n" 641 " Completed Load Increments : %d\n" 642 " Total SNES Iterations : %D\n" 643 " Final rnorm : %e\n", 644 snesType, SNESConvergedReasons[reason], 645 appCtx->numIncrements, increment - 1, 646 snesIts, (double)rnorm); CHKERRQ(ierr); 647 648 // -- KSP 649 KSP ksp; 650 KSPType kspType; 651 ierr = SNESGetKSP(snes, &ksp); CHKERRQ(ierr); 652 ierr = KSPGetType(ksp, &kspType); CHKERRQ(ierr); 653 ierr = PetscPrintf(comm, 654 " Linear Solver:\n" 655 " KSP Type : %s\n", 656 kspType); CHKERRQ(ierr); 657 658 // -- PC 659 PC pc; 660 PCType pcType; 661 ierr = KSPGetPC(ksp, &pc); CHKERRQ(ierr); 662 ierr = PCGetType(pc, &pcType); CHKERRQ(ierr); 663 ierr = PetscPrintf(comm, 664 " PC Type : %s\n", 665 pcType); CHKERRQ(ierr); 666 667 if (!strcmp(pcType, PCMG)) { 668 PCMGType pcmgType; 669 ierr = PCMGGetType(pc, &pcmgType); CHKERRQ(ierr); 670 ierr = PetscPrintf(comm, 671 " P-Multigrid:\n" 672 " PCMG Type : %s\n" 673 " PCMG Cycle Type : %s\n", 674 PCMGTypes[pcmgType], 675 PCMGCycleTypes[pcmgCycleType]); CHKERRQ(ierr); 676 677 // -- Coarse Solve 678 KSP kspCoarse; 679 PC pcCoarse; 680 PCType pcType; 681 682 ierr = PCMGGetCoarseSolve(pc, &kspCoarse); CHKERRQ(ierr); 683 ierr = KSPGetType(kspCoarse, &kspType); CHKERRQ(ierr); 684 ierr = KSPGetPC(kspCoarse, &pcCoarse); CHKERRQ(ierr); 685 ierr = PCGetType(pcCoarse, &pcType); CHKERRQ(ierr); 686 ierr = PetscPrintf(comm, 687 " Coarse Solve:\n" 688 " KSP Type : %s\n" 689 " PC Type : %s\n", 690 kspType, pcType); CHKERRQ(ierr); 691 } 692 } 693 694 // --------------------------------------------------------------------------- 695 // Compute solve time 696 // --------------------------------------------------------------------------- 697 if (!appCtx->testMode) { 698 ierr = MPI_Allreduce(&elapsedTime, &minTime, 1, MPI_DOUBLE, MPI_MIN, comm); 699 CHKERRQ(ierr); 700 ierr = MPI_Allreduce(&elapsedTime, &maxTime, 1, MPI_DOUBLE, MPI_MAX, comm); 701 CHKERRQ(ierr); 702 ierr = PetscPrintf(comm, 703 " Performance:\n" 704 " SNES Solve Time : %g (%g) sec\n", 705 maxTime, minTime); CHKERRQ(ierr); 706 } 707 708 // --------------------------------------------------------------------------- 709 // Compute error 710 // --------------------------------------------------------------------------- 711 if (appCtx->forcingChoice == FORCE_MMS) { 712 CeedScalar l2Error = 1., l2Unorm = 1.; 713 const CeedScalar *truearray; 714 Vec errorVec, trueVec; 715 716 // -- Work vectors 717 ierr = VecDuplicate(U, &errorVec); CHKERRQ(ierr); 718 ierr = VecSet(errorVec, 0.0); CHKERRQ(ierr); 719 ierr = VecDuplicate(U, &trueVec); CHKERRQ(ierr); 720 ierr = VecSet(trueVec, 0.0); CHKERRQ(ierr); 721 722 // -- Assemble global true solution vector 723 CeedVectorGetArrayRead(ceedData[fineLevel]->truesoln, CEED_MEM_HOST, 724 &truearray); 725 ierr = VecPlaceArray(resCtx->Yloc, truearray); CHKERRQ(ierr); 726 ierr = DMLocalToGlobal(resCtx->dm, resCtx->Yloc, INSERT_VALUES, trueVec); 727 CHKERRQ(ierr); 728 ierr = VecResetArray(resCtx->Yloc); CHKERRQ(ierr); 729 CeedVectorRestoreArrayRead(ceedData[fineLevel]->truesoln, &truearray); 730 731 // -- Compute L2 error 732 ierr = VecWAXPY(errorVec, -1.0, U, trueVec); CHKERRQ(ierr); 733 ierr = VecNorm(errorVec, NORM_2, &l2Error); CHKERRQ(ierr); 734 ierr = VecNorm(U, NORM_2, &l2Unorm); CHKERRQ(ierr); 735 l2Error /= l2Unorm; 736 737 // -- Output 738 if (!appCtx->testMode || l2Error > 0.05) { 739 ierr = PetscPrintf(comm, 740 " L2 Error : %e\n", 741 l2Error); CHKERRQ(ierr); 742 } 743 744 // -- Cleanup 745 ierr = VecDestroy(&errorVec); CHKERRQ(ierr); 746 ierr = VecDestroy(&trueVec); CHKERRQ(ierr); 747 } 748 749 // --------------------------------------------------------------------------- 750 // Compute energy 751 // --------------------------------------------------------------------------- 752 if (!appCtx->testMode) { 753 // -- Compute L2 error 754 CeedScalar energy; 755 ierr = ComputeStrainEnergy(dmEnergy, resCtx, ceedData[fineLevel]->opEnergy, 756 U, &energy); CHKERRQ(ierr); 757 758 // -- Output 759 ierr = PetscPrintf(comm, 760 " Strain Energy : %e\n", 761 energy); CHKERRQ(ierr); 762 } 763 764 // --------------------------------------------------------------------------- 765 // Output diagnostic quantities 766 // --------------------------------------------------------------------------- 767 if (appCtx->viewSoln || appCtx->viewFinalSoln) { 768 // -- Setup context 769 UserMult diagnosticCtx; 770 ierr = PetscMalloc1(1, &diagnosticCtx); CHKERRQ(ierr); 771 ierr = PetscMemcpy(diagnosticCtx, resCtx, sizeof(*resCtx)); CHKERRQ(ierr); 772 diagnosticCtx->dm = dmDiagnostic; 773 diagnosticCtx->op = ceedData[fineLevel]->opDiagnostic; 774 775 // -- Compute and output 776 ierr = ViewDiagnosticQuantities(comm, levelDMs[fineLevel], diagnosticCtx, U, 777 ceedData[fineLevel]->ErestrictDiagnostic); 778 CHKERRQ(ierr); 779 780 // -- Cleanup 781 ierr = PetscFree(diagnosticCtx); CHKERRQ(ierr); 782 } 783 784 // --------------------------------------------------------------------------- 785 // Free objects 786 // --------------------------------------------------------------------------- 787 // Data in arrays per level 788 for (PetscInt level = 0; level < numLevels; level++) { 789 // Vectors 790 ierr = VecDestroy(&Ug[level]); CHKERRQ(ierr); 791 ierr = VecDestroy(&Uloc[level]); CHKERRQ(ierr); 792 793 // Jacobian matrix and data 794 ierr = VecDestroy(&jacobCtx[level]->Yloc); CHKERRQ(ierr); 795 ierr = MatDestroy(&jacobMat[level]); CHKERRQ(ierr); 796 ierr = PetscFree(jacobCtx[level]); CHKERRQ(ierr); 797 798 // Prolongation/Restriction matrix and data 799 if (level > 0) { 800 ierr = VecDestroy(&prolongRestrCtx[level]->multVec); CHKERRQ(ierr); 801 ierr = PetscFree(prolongRestrCtx[level]); CHKERRQ(ierr); 802 ierr = MatDestroy(&prolongRestrMat[level]); CHKERRQ(ierr); 803 } 804 805 // DM 806 ierr = DMDestroy(&levelDMs[level]); CHKERRQ(ierr); 807 808 // libCEED objects 809 ierr = CeedDataDestroy(level, ceedData[level]); CHKERRQ(ierr); 810 } 811 812 // Arrays 813 ierr = PetscFree(Ug); CHKERRQ(ierr); 814 ierr = PetscFree(Uloc); CHKERRQ(ierr); 815 ierr = PetscFree(Ugsz); CHKERRQ(ierr); 816 ierr = PetscFree(Ulsz); CHKERRQ(ierr); 817 ierr = PetscFree(Ulocsz); CHKERRQ(ierr); 818 ierr = PetscFree(jacobCtx); CHKERRQ(ierr); 819 ierr = PetscFree(jacobMat); CHKERRQ(ierr); 820 ierr = PetscFree(prolongRestrCtx); CHKERRQ(ierr); 821 ierr = PetscFree(prolongRestrMat); CHKERRQ(ierr); 822 ierr = PetscFree(appCtx->levelDegrees); CHKERRQ(ierr); 823 ierr = PetscFree(ceedData); CHKERRQ(ierr); 824 825 // libCEED objects 826 CeedQFunctionDestroy(&qfRestrict); 827 CeedQFunctionDestroy(&qfProlong); 828 CeedDestroy(&ceed); 829 CeedDestroy(&ceedFine); 830 831 // PETSc objects 832 ierr = VecDestroy(&U); CHKERRQ(ierr); 833 ierr = VecDestroy(&R); CHKERRQ(ierr); 834 ierr = VecDestroy(&Rloc); CHKERRQ(ierr); 835 ierr = VecDestroy(&F); CHKERRQ(ierr); 836 ierr = VecDestroy(&Floc); CHKERRQ(ierr); 837 ierr = MatDestroy(&jacobMatCoarse); CHKERRQ(ierr); 838 ierr = SNESDestroy(&snes); CHKERRQ(ierr); 839 ierr = SNESDestroy(&snesCoarse); CHKERRQ(ierr); 840 ierr = DMDestroy(&dmOrig); CHKERRQ(ierr); 841 ierr = DMDestroy(&dmEnergy); CHKERRQ(ierr); 842 ierr = DMDestroy(&dmDiagnostic); CHKERRQ(ierr); 843 ierr = PetscFree(levelDMs); CHKERRQ(ierr); 844 845 // Structs 846 ierr = PetscFree(resCtx); CHKERRQ(ierr); 847 ierr = PetscFree(formJacobCtx); CHKERRQ(ierr); 848 ierr = PetscFree(jacobCoarseCtx); CHKERRQ(ierr); 849 ierr = PetscFree(appCtx); CHKERRQ(ierr); 850 ierr = PetscFree(phys); CHKERRQ(ierr); 851 ierr = PetscFree(physSmoother); CHKERRQ(ierr); 852 ierr = PetscFree(units); CHKERRQ(ierr); 853 854 return PetscFinalize(); 855 } 856