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 /// @file 18 /// Matrix shell operations for solid mechanics example using PETSc 19 20 #include "../elasticity.h" 21 22 // ----------------------------------------------------------------------------- 23 // libCEED Operators for MatShell 24 // ----------------------------------------------------------------------------- 25 // This function uses libCEED to compute the local action of an operator 26 PetscErrorCode ApplyLocalCeedOp(Vec X, Vec Y, UserMult user) { 27 PetscErrorCode ierr; 28 PetscScalar *x, *y; 29 30 PetscFunctionBeginUser; 31 32 // Global-to-local 33 ierr = DMGlobalToLocal(user->dm, X, INSERT_VALUES, user->Xloc); CHKERRQ(ierr); 34 ierr = VecZeroEntries(user->Yloc); CHKERRQ(ierr); 35 36 // Setup CEED vectors 37 ierr = user->VecGetArrayRead(user->Xloc, (const PetscScalar **)&x); 38 CHKERRQ(ierr); 39 ierr = user->VecGetArray(user->Yloc, &y); CHKERRQ(ierr); 40 CeedVectorSetArray(user->Xceed, user->memType, CEED_USE_POINTER, x); 41 CeedVectorSetArray(user->Yceed, user->memType, CEED_USE_POINTER, y); 42 43 // Apply CEED operator 44 // Note: We could use VecGetArrayInPlace. Instead, we use SetArray/TakeArray 45 // so we can request host memory for easier debugging. 46 CeedOperatorApply(user->op, user->Xceed, user->Yceed, CEED_REQUEST_IMMEDIATE); 47 48 // Restore PETSc vectors 49 CeedVectorTakeArray(user->Xceed, user->memType, NULL); 50 CeedVectorTakeArray(user->Yceed, user->memType, NULL); 51 ierr = user->VecRestoreArrayRead(user->Xloc, (const PetscScalar **)&x); 52 CHKERRQ(ierr); 53 ierr = user->VecRestoreArray(user->Yloc, &y); CHKERRQ(ierr); 54 55 // Local-to-global 56 ierr = VecZeroEntries(Y); CHKERRQ(ierr); 57 ierr = DMLocalToGlobal(user->dm, user->Yloc, ADD_VALUES, Y); CHKERRQ(ierr); 58 59 PetscFunctionReturn(0); 60 }; 61 62 // This function uses libCEED to compute the non-linear residual 63 PetscErrorCode FormResidual_Ceed(SNES snes, Vec X, Vec Y, void *ctx) { 64 PetscErrorCode ierr; 65 UserMult user = (UserMult)ctx; 66 67 PetscFunctionBeginUser; 68 69 // Use computed BCs 70 ierr = VecZeroEntries(user->Xloc); CHKERRQ(ierr); 71 ierr = DMPlexInsertBoundaryValues(user->dm, PETSC_TRUE, user->Xloc, 72 user->loadIncrement, NULL, NULL, NULL); 73 CHKERRQ(ierr); 74 75 // libCEED for local action of residual evaluator 76 ierr = ApplyLocalCeedOp(X, Y, user); CHKERRQ(ierr); 77 78 PetscFunctionReturn(0); 79 }; 80 81 // This function uses libCEED to apply the Jacobian for assembly via a SNES 82 PetscErrorCode ApplyJacobianCoarse_Ceed(SNES snes, Vec X, Vec Y, void *ctx) { 83 PetscErrorCode ierr; 84 UserMult user = (UserMult)ctx; 85 86 PetscFunctionBeginUser; 87 88 // Zero boundary values 89 ierr = VecZeroEntries(user->Xloc); CHKERRQ(ierr); 90 91 // libCEED for local action of residual evaluator 92 ierr = ApplyLocalCeedOp(X, Y, user); CHKERRQ(ierr); 93 94 PetscFunctionReturn(0); 95 }; 96 97 // This function uses libCEED to compute the action of the Jacobian 98 PetscErrorCode ApplyJacobian_Ceed(Mat A, Vec X, Vec Y) { 99 PetscErrorCode ierr; 100 UserMult user; 101 102 PetscFunctionBeginUser; 103 104 // Zero boundary values 105 ierr = MatShellGetContext(A, &user); CHKERRQ(ierr); 106 ierr = VecZeroEntries(user->Xloc); CHKERRQ(ierr); 107 108 // libCEED for local action of Jacobian 109 ierr = ApplyLocalCeedOp(X, Y, user); CHKERRQ(ierr); 110 111 PetscFunctionReturn(0); 112 }; 113 114 // This function uses libCEED to compute the action of the prolongation operator 115 PetscErrorCode Prolong_Ceed(Mat A, Vec X, Vec Y) { 116 PetscErrorCode ierr; 117 UserMultProlongRestr user; 118 PetscScalar *c, *f; 119 120 PetscFunctionBeginUser; 121 122 ierr = MatShellGetContext(A, &user); CHKERRQ(ierr); 123 124 // Global-to-local 125 ierr = VecZeroEntries(user->locVecC); CHKERRQ(ierr); 126 ierr = DMGlobalToLocal(user->dmC, X, INSERT_VALUES, user->locVecC); 127 CHKERRQ(ierr); 128 ierr = VecZeroEntries(user->locVecF); CHKERRQ(ierr); 129 130 // Setup CEED vectors 131 ierr = user->VecGetArrayRead(user->locVecC, (const PetscScalar **)&c); 132 CHKERRQ(ierr); 133 ierr = user->VecGetArray(user->locVecF, &f); CHKERRQ(ierr); 134 CeedVectorSetArray(user->ceedVecC, user->memType, CEED_USE_POINTER, c); 135 CeedVectorSetArray(user->ceedVecF, user->memType, CEED_USE_POINTER, f); 136 137 // Apply CEED operator 138 CeedOperatorApply(user->opProlong, user->ceedVecC, user->ceedVecF, 139 CEED_REQUEST_IMMEDIATE); 140 141 // Restore PETSc vectors 142 CeedVectorTakeArray(user->ceedVecC, user->memType, NULL); 143 CeedVectorTakeArray(user->ceedVecF, user->memType, NULL); 144 ierr = user->VecRestoreArrayRead(user->locVecC, (const PetscScalar **)&c); 145 CHKERRQ(ierr); 146 ierr = user->VecRestoreArray(user->locVecF, &f); CHKERRQ(ierr); 147 148 // Multiplicity 149 ierr = VecPointwiseMult(user->locVecF, user->locVecF, user->multVec); 150 151 // Local-to-global 152 ierr = VecZeroEntries(Y); CHKERRQ(ierr); 153 ierr = DMLocalToGlobal(user->dmF, user->locVecF, ADD_VALUES, Y); 154 CHKERRQ(ierr); 155 156 PetscFunctionReturn(0); 157 } 158 159 // This function uses libCEED to compute the action of the restriction operator 160 PetscErrorCode Restrict_Ceed(Mat A, Vec X, Vec Y) { 161 PetscErrorCode ierr; 162 UserMultProlongRestr user; 163 PetscScalar *c, *f; 164 165 PetscFunctionBeginUser; 166 167 ierr = MatShellGetContext(A, &user); CHKERRQ(ierr); 168 169 // Global-to-local 170 ierr = VecZeroEntries(user->locVecF); CHKERRQ(ierr); 171 ierr = DMGlobalToLocal(user->dmF, X, INSERT_VALUES, user->locVecF); 172 CHKERRQ(ierr); 173 ierr = VecZeroEntries(user->locVecC); CHKERRQ(ierr); 174 175 // Multiplicity 176 ierr = VecPointwiseMult(user->locVecF, user->locVecF, user->multVec); 177 CHKERRQ(ierr); 178 179 // Setup CEED vectors 180 ierr = user->VecGetArrayRead(user->locVecF, (const PetscScalar **)&f); 181 CHKERRQ(ierr); 182 ierr = user->VecGetArray(user->locVecC, &c); CHKERRQ(ierr); 183 CeedVectorSetArray(user->ceedVecF, user->memType, CEED_USE_POINTER, f); 184 CeedVectorSetArray(user->ceedVecC, user->memType, CEED_USE_POINTER, c); 185 186 // Apply CEED operator 187 CeedOperatorApply(user->opRestrict, user->ceedVecF, user->ceedVecC, 188 CEED_REQUEST_IMMEDIATE); 189 190 // Restore PETSc vectors 191 CeedVectorTakeArray(user->ceedVecF, user->memType, NULL); 192 CeedVectorTakeArray(user->ceedVecC, user->memType, NULL); 193 ierr = user->VecRestoreArrayRead(user->locVecF, (const PetscScalar **)&f); 194 CHKERRQ(ierr); 195 ierr = user->VecRestoreArray(user->locVecC, &c); CHKERRQ(ierr); 196 197 // Local-to-global 198 ierr = VecZeroEntries(Y); CHKERRQ(ierr); 199 ierr = DMLocalToGlobal(user->dmC, user->locVecC, ADD_VALUES, Y); 200 CHKERRQ(ierr); 201 202 PetscFunctionReturn(0); 203 }; 204 205 // This function returns the computed diagonal of the operator 206 PetscErrorCode GetDiag_Ceed(Mat A, Vec D) { 207 PetscErrorCode ierr; 208 UserMult user; 209 210 PetscFunctionBeginUser; 211 212 ierr = MatShellGetContext(A, &user); CHKERRQ(ierr); 213 214 // -- Set physics context 215 if (user->physSmoother) 216 CeedQFunctionSetContext(user->qf, user->physSmoother, 217 sizeof(*user->physSmoother)); 218 219 // Compute Diagonal via libCEED 220 PetscScalar *x; 221 222 // -- Place PETSc vector in libCEED vector 223 ierr = user->VecGetArray(user->Xloc, &x); CHKERRQ(ierr); 224 CeedVectorSetArray(user->Xceed, user->memType, CEED_USE_POINTER, x); 225 226 // -- Compute Diagonal 227 CeedOperatorLinearAssembleDiagonal(user->op, user->Xceed, 228 CEED_REQUEST_IMMEDIATE); 229 230 // -- Reset physics context 231 if (user->physSmoother) 232 CeedQFunctionSetContext(user->qf, user->phys, sizeof(*user->phys)); 233 234 // -- Local-to-Global 235 CeedVectorTakeArray(user->Xceed, user->memType, NULL); 236 ierr = user->VecRestoreArray(user->Xloc, &x); CHKERRQ(ierr); 237 ierr = VecZeroEntries(D); CHKERRQ(ierr); 238 ierr = DMLocalToGlobal(user->dm, user->Xloc, ADD_VALUES, D); CHKERRQ(ierr); 239 240 // Cleanup 241 ierr = VecZeroEntries(user->Xloc); CHKERRQ(ierr); 242 243 PetscFunctionReturn(0); 244 }; 245 246 // This function calculates the strain energy in the final solution 247 PetscErrorCode ComputeStrainEnergy(DM dmEnergy, UserMult user, 248 CeedOperator opEnergy, Vec X, 249 PetscReal *energy) { 250 PetscErrorCode ierr; 251 PetscScalar *x; 252 CeedInt length; 253 254 PetscFunctionBeginUser; 255 256 // Global-to-local 257 ierr = VecZeroEntries(user->Xloc); CHKERRQ(ierr); 258 ierr = DMGlobalToLocal(user->dm, X, INSERT_VALUES, user->Xloc); CHKERRQ(ierr); 259 ierr = DMPlexInsertBoundaryValues(user->dm, PETSC_TRUE, user->Xloc, 260 user->loadIncrement, NULL, NULL, NULL); 261 CHKERRQ(ierr); 262 263 // Setup libCEED input vector 264 ierr = user->VecGetArrayRead(user->Xloc, (const PetscScalar **)&x); 265 CHKERRQ(ierr); 266 CeedVectorSetArray(user->Xceed, user->memType, CEED_USE_POINTER, x); 267 268 // Setup libCEED output vector 269 Vec Eloc; 270 CeedVector eloc; 271 ierr = DMCreateLocalVector(dmEnergy, &Eloc); CHKERRQ(ierr); 272 ierr = VecGetSize(Eloc, &length); CHKERRQ(ierr); 273 ierr = VecDestroy(&Eloc); CHKERRQ(ierr); 274 CeedVectorCreate(user->ceed, length, &eloc); 275 276 // Apply libCEED operator 277 CeedOperatorApply(opEnergy, user->Xceed, eloc, CEED_REQUEST_IMMEDIATE); 278 279 // Restore PETSc vector 280 ierr = user->VecRestoreArrayRead(user->Xloc, (const PetscScalar **)&x); 281 CHKERRQ(ierr); 282 283 // Reduce max error 284 const CeedScalar *e; 285 CeedVectorGetArrayRead(eloc, CEED_MEM_HOST, &e); 286 (*energy) = 0; 287 for (CeedInt i=0; i<length; i++) 288 (*energy) += e[i]; 289 CeedVectorRestoreArrayRead(eloc, &e); 290 CeedVectorDestroy(&eloc); 291 292 ierr = MPI_Allreduce(MPI_IN_PLACE, energy, 1, MPIU_REAL, MPIU_SUM, 293 user->comm); CHKERRQ(ierr); 294 295 PetscFunctionReturn(0); 296 }; 297