1 // SPDX-FileCopyrightText: Copyright (c) 2017-2024, HONEE contributors. 2 // SPDX-License-Identifier: Apache-2.0 OR BSD-2-Clause 3 4 /// @file 5 /// Utility functions for setting up problems using the Newtonian Qfunction 6 7 #include "../qfunctions/newtonian.h" 8 9 #include <ceed.h> 10 #include <petscdm.h> 11 12 #include <navierstokes.h> 13 14 static PetscErrorCode UnitTests_Newtonian(Honee honee, NewtonianIdealGasContext gas); 15 16 // @brief Create CeedOperator for stabilized mass KSP for explicit timestepping 17 // 18 // Only used for SUPG stabilization 19 PetscErrorCode CreateKSPMassOperator_NewtonianStabilized(Honee honee, CeedOperator *op_mass) { 20 Ceed ceed = honee->ceed; 21 CeedInt num_comp_q, q_data_size; 22 CeedQFunction qf_mass; 23 CeedElemRestriction elem_restr_q, elem_restr_qd; 24 CeedBasis basis_q; 25 CeedVector q_data; 26 CeedQFunctionContext qfctx = NULL; 27 PetscInt dim = 3; 28 29 PetscFunctionBeginUser; 30 { // Get restriction and basis from the RHS function 31 CeedOperator *sub_ops; 32 CeedOperatorField op_field; 33 PetscInt sub_op_index = 0; // will be 0 for the volume op 34 35 PetscCallCeed(ceed, CeedCompositeOperatorGetSubList(honee->op_rhs_ctx->op, &sub_ops)); 36 PetscCallCeed(ceed, CeedOperatorGetFieldByName(sub_ops[sub_op_index], "q", &op_field)); 37 PetscCallCeed(ceed, CeedOperatorFieldGetData(op_field, NULL, &elem_restr_q, &basis_q, NULL)); 38 PetscCallCeed(ceed, CeedOperatorGetFieldByName(sub_ops[sub_op_index], "qdata", &op_field)); 39 PetscCallCeed(ceed, CeedOperatorFieldGetData(op_field, NULL, &elem_restr_qd, NULL, &q_data)); 40 41 PetscCallCeed(ceed, CeedOperatorGetContext(sub_ops[sub_op_index], &qfctx)); 42 } 43 44 PetscCallCeed(ceed, CeedElemRestrictionGetNumComponents(elem_restr_q, &num_comp_q)); 45 PetscCallCeed(ceed, CeedElemRestrictionGetNumComponents(elem_restr_qd, &q_data_size)); 46 47 PetscCallCeed(ceed, CeedQFunctionCreateInterior(ceed, 1, MassFunction_Newtonian_Conserv, MassFunction_Newtonian_Conserv_loc, &qf_mass)); 48 49 PetscCallCeed(ceed, CeedQFunctionSetContext(qf_mass, qfctx)); 50 PetscCallCeed(ceed, CeedQFunctionSetUserFlopsEstimate(qf_mass, 0)); 51 PetscCallCeed(ceed, CeedQFunctionAddInput(qf_mass, "q_dot", 5, CEED_EVAL_INTERP)); 52 PetscCallCeed(ceed, CeedQFunctionAddInput(qf_mass, "q", 5, CEED_EVAL_INTERP)); 53 PetscCallCeed(ceed, CeedQFunctionAddInput(qf_mass, "qdata", q_data_size, CEED_EVAL_NONE)); 54 PetscCallCeed(ceed, CeedQFunctionAddOutput(qf_mass, "v", 5, CEED_EVAL_INTERP)); 55 PetscCallCeed(ceed, CeedQFunctionAddOutput(qf_mass, "Grad_v", 5 * dim, CEED_EVAL_GRAD)); 56 57 PetscCallCeed(ceed, CeedOperatorCreate(ceed, qf_mass, NULL, NULL, op_mass)); 58 PetscCallCeed(ceed, CeedOperatorSetName(*op_mass, "RHS Mass Operator, Newtonian Stabilized")); 59 PetscCallCeed(ceed, CeedOperatorSetField(*op_mass, "q_dot", elem_restr_q, basis_q, CEED_VECTOR_ACTIVE)); 60 PetscCallCeed(ceed, CeedOperatorSetField(*op_mass, "q", elem_restr_q, basis_q, honee->q_ceed)); 61 PetscCallCeed(ceed, CeedOperatorSetField(*op_mass, "qdata", elem_restr_qd, CEED_BASIS_NONE, q_data)); 62 PetscCallCeed(ceed, CeedOperatorSetField(*op_mass, "v", elem_restr_q, basis_q, CEED_VECTOR_ACTIVE)); 63 PetscCallCeed(ceed, CeedOperatorSetField(*op_mass, "Grad_v", elem_restr_q, basis_q, CEED_VECTOR_ACTIVE)); 64 65 PetscCallCeed(ceed, CeedElemRestrictionDestroy(&elem_restr_q)); 66 PetscCallCeed(ceed, CeedElemRestrictionDestroy(&elem_restr_qd)); 67 PetscCallCeed(ceed, CeedVectorDestroy(&q_data)); 68 PetscCallCeed(ceed, CeedBasisDestroy(&basis_q)); 69 PetscCallCeed(ceed, CeedQFunctionContextDestroy(&qfctx)); 70 PetscCallCeed(ceed, CeedQFunctionDestroy(&qf_mass)); 71 PetscFunctionReturn(PETSC_SUCCESS); 72 } 73 74 /** 75 @brief Create RHS CeedOperator for direct projection of divergence of diffusive flux 76 77 @param[in] honee `Honee` context 78 @param[in] diff_flux_proj `DivDiffFluxProjectionData` object 79 @param[out] op_rhs Operator to calculate the RHS of the L^2 projection 80 **/ 81 static PetscErrorCode DivDiffFluxProjectionCreateRHS_Direct_NS(Honee honee, DivDiffFluxProjectionData diff_flux_proj, CeedOperator *op_rhs) { 82 Ceed ceed = honee->ceed; 83 NodalProjectionData projection = diff_flux_proj->projection; 84 CeedInt num_comp_q; 85 PetscInt dim, label_value = 0; 86 DMLabel domain_label = NULL; 87 CeedQFunctionContext newtonian_qfctx = NULL; 88 89 PetscFunctionBeginUser; 90 // -- Get Pre-requisite things 91 PetscCall(DMGetDimension(projection->dm, &dim)); 92 PetscCallCeed(ceed, CeedBasisGetNumComponents(honee->basis_q, &num_comp_q)); 93 94 { // Get newtonian QF context 95 CeedOperator *sub_ops, main_op = honee->op_ifunction ? honee->op_ifunction : honee->op_rhs_ctx->op; 96 PetscInt sub_op_index = 0; // will be 0 for the volume op 97 98 PetscCallCeed(ceed, CeedCompositeOperatorGetSubList(main_op, &sub_ops)); 99 PetscCallCeed(ceed, CeedOperatorGetContext(sub_ops[sub_op_index], &newtonian_qfctx)); 100 } 101 PetscCallCeed(ceed, CeedCompositeOperatorCreate(ceed, op_rhs)); 102 { // Add the volume integral CeedOperator 103 CeedQFunction qf_rhs_volume; 104 CeedOperator op_rhs_volume; 105 CeedVector q_data; 106 CeedElemRestriction elem_restr_qd, elem_restr_diff_flux_volume = NULL; 107 CeedBasis basis_diff_flux = NULL; 108 CeedInt q_data_size; 109 110 PetscCall(DivDiffFluxProjectionGetOperatorFieldData(diff_flux_proj, &elem_restr_diff_flux_volume, &basis_diff_flux, NULL, NULL)); 111 PetscCall(QDataGet(ceed, projection->dm, domain_label, label_value, honee->elem_restr_x, honee->basis_x, honee->x_coord, &elem_restr_qd, &q_data, 112 &q_data_size)); 113 switch (honee->phys->state_var) { 114 case STATEVAR_PRIMITIVE: 115 PetscCallCeed(ceed, 116 CeedQFunctionCreateInterior(ceed, 1, DivDiffusiveFluxVolumeRHS_NS_Prim, DivDiffusiveFluxVolumeRHS_NS_Prim_loc, &qf_rhs_volume)); 117 break; 118 case STATEVAR_CONSERVATIVE: 119 PetscCallCeed(ceed, CeedQFunctionCreateInterior(ceed, 1, DivDiffusiveFluxVolumeRHS_NS_Conserv, DivDiffusiveFluxVolumeRHS_NS_Conserv_loc, 120 &qf_rhs_volume)); 121 break; 122 case STATEVAR_ENTROPY: 123 PetscCallCeed(ceed, CeedQFunctionCreateInterior(ceed, 1, DivDiffusiveFluxVolumeRHS_NS_Entropy, DivDiffusiveFluxVolumeRHS_NS_Entropy_loc, 124 &qf_rhs_volume)); 125 break; 126 } 127 128 PetscCallCeed(ceed, CeedQFunctionSetContext(qf_rhs_volume, newtonian_qfctx)); 129 PetscCallCeed(ceed, CeedQFunctionAddInput(qf_rhs_volume, "q", num_comp_q, CEED_EVAL_INTERP)); 130 PetscCallCeed(ceed, CeedQFunctionAddInput(qf_rhs_volume, "Grad_q", num_comp_q * dim, CEED_EVAL_GRAD)); 131 PetscCallCeed(ceed, CeedQFunctionAddInput(qf_rhs_volume, "qdata", q_data_size, CEED_EVAL_NONE)); 132 PetscCallCeed(ceed, CeedQFunctionAddOutput(qf_rhs_volume, "diffusive flux RHS", projection->num_comp * dim, CEED_EVAL_GRAD)); 133 134 PetscCallCeed(ceed, CeedOperatorCreate(ceed, qf_rhs_volume, NULL, NULL, &op_rhs_volume)); 135 PetscCallCeed(ceed, CeedOperatorSetField(op_rhs_volume, "q", honee->elem_restr_q, honee->basis_q, CEED_VECTOR_ACTIVE)); 136 PetscCallCeed(ceed, CeedOperatorSetField(op_rhs_volume, "Grad_q", honee->elem_restr_q, honee->basis_q, CEED_VECTOR_ACTIVE)); 137 PetscCallCeed(ceed, CeedOperatorSetField(op_rhs_volume, "qdata", elem_restr_qd, CEED_BASIS_NONE, q_data)); 138 PetscCallCeed(ceed, CeedOperatorSetField(op_rhs_volume, "diffusive flux RHS", elem_restr_diff_flux_volume, basis_diff_flux, CEED_VECTOR_ACTIVE)); 139 140 PetscCallCeed(ceed, CeedCompositeOperatorAddSub(*op_rhs, op_rhs_volume)); 141 142 PetscCallCeed(ceed, CeedVectorDestroy(&q_data)); 143 PetscCallCeed(ceed, CeedElemRestrictionDestroy(&elem_restr_qd)); 144 PetscCallCeed(ceed, CeedElemRestrictionDestroy(&elem_restr_diff_flux_volume)); 145 PetscCallCeed(ceed, CeedBasisDestroy(&basis_diff_flux)); 146 PetscCallCeed(ceed, CeedOperatorDestroy(&op_rhs_volume)); 147 PetscCallCeed(ceed, CeedQFunctionDestroy(&qf_rhs_volume)); 148 } 149 150 { // Add the boundary integral CeedOperator 151 CeedQFunction qf_rhs_boundary; 152 DMLabel face_sets_label; 153 PetscInt num_face_set_values, *face_set_values; 154 CeedInt q_data_size; 155 156 // -- Build RHS operator 157 switch (honee->phys->state_var) { 158 case STATEVAR_PRIMITIVE: 159 PetscCallCeed(ceed, CeedQFunctionCreateInterior(ceed, 1, DivDiffusiveFluxBoundaryRHS_NS_Prim, DivDiffusiveFluxBoundaryRHS_NS_Prim_loc, 160 &qf_rhs_boundary)); 161 break; 162 case STATEVAR_CONSERVATIVE: 163 PetscCallCeed(ceed, CeedQFunctionCreateInterior(ceed, 1, DivDiffusiveFluxBoundaryRHS_NS_Conserv, DivDiffusiveFluxBoundaryRHS_NS_Conserv_loc, 164 &qf_rhs_boundary)); 165 break; 166 case STATEVAR_ENTROPY: 167 PetscCallCeed(ceed, CeedQFunctionCreateInterior(ceed, 1, DivDiffusiveFluxBoundaryRHS_NS_Entropy, DivDiffusiveFluxBoundaryRHS_NS_Entropy_loc, 168 &qf_rhs_boundary)); 169 break; 170 } 171 172 PetscCall(QDataBoundaryGradientGetNumComponents(honee->dm, &q_data_size)); 173 PetscCallCeed(ceed, CeedQFunctionSetContext(qf_rhs_boundary, newtonian_qfctx)); 174 PetscCallCeed(ceed, CeedQFunctionAddInput(qf_rhs_boundary, "q", num_comp_q, CEED_EVAL_INTERP)); 175 PetscCallCeed(ceed, CeedQFunctionAddInput(qf_rhs_boundary, "Grad_q", num_comp_q * dim, CEED_EVAL_GRAD)); 176 PetscCallCeed(ceed, CeedQFunctionAddInput(qf_rhs_boundary, "qdata", q_data_size, CEED_EVAL_NONE)); 177 PetscCallCeed(ceed, CeedQFunctionAddOutput(qf_rhs_boundary, "diffusive flux RHS", projection->num_comp, CEED_EVAL_INTERP)); 178 179 PetscCall(DMGetLabel(projection->dm, "Face Sets", &face_sets_label)); 180 PetscCall(DMLabelCreateGlobalValueArray(projection->dm, face_sets_label, &num_face_set_values, &face_set_values)); 181 for (PetscInt f = 0; f < num_face_set_values; f++) { 182 DMLabel face_orientation_label; 183 PetscInt num_orientations_values, *orientation_values; 184 185 { 186 char *face_orientation_label_name; 187 188 PetscCall(DMPlexCreateFaceLabel(projection->dm, face_set_values[f], &face_orientation_label_name)); 189 PetscCall(DMGetLabel(projection->dm, face_orientation_label_name, &face_orientation_label)); 190 PetscCall(PetscFree(face_orientation_label_name)); 191 } 192 PetscCall(DMLabelCreateGlobalValueArray(projection->dm, face_orientation_label, &num_orientations_values, &orientation_values)); 193 for (PetscInt o = 0; o < num_orientations_values; o++) { 194 CeedOperator op_rhs_boundary; 195 CeedBasis basis_q, basis_diff_flux_boundary; 196 CeedElemRestriction elem_restr_qdata, elem_restr_q, elem_restr_diff_flux_boundary; 197 CeedVector q_data; 198 CeedInt q_data_size; 199 PetscInt orientation = orientation_values[o], dm_field_q = 0, height_cell = 0, height_face = 1; 200 201 PetscCall(DMPlexCeedElemRestrictionCreate(ceed, honee->dm, face_orientation_label, orientation, height_cell, dm_field_q, &elem_restr_q)); 202 PetscCall(DMPlexCeedBasisCellToFaceCreate(ceed, honee->dm, face_orientation_label, orientation, orientation, dm_field_q, &basis_q)); 203 PetscCall(DMPlexCeedElemRestrictionCreate(ceed, projection->dm, face_orientation_label, orientation, height_face, 0, 204 &elem_restr_diff_flux_boundary)); 205 PetscCall(CreateBasisFromPlex(ceed, projection->dm, face_orientation_label, orientation, height_face, 0, &basis_diff_flux_boundary)); 206 PetscCall( 207 QDataBoundaryGradientGet(ceed, honee->dm, face_orientation_label, orientation, honee->x_coord, &elem_restr_qdata, &q_data, &q_data_size)); 208 209 PetscCallCeed(ceed, CeedOperatorCreate(ceed, qf_rhs_boundary, NULL, NULL, &op_rhs_boundary)); 210 PetscCallCeed(ceed, CeedOperatorSetField(op_rhs_boundary, "q", elem_restr_q, basis_q, CEED_VECTOR_ACTIVE)); 211 PetscCallCeed(ceed, CeedOperatorSetField(op_rhs_boundary, "Grad_q", elem_restr_q, basis_q, CEED_VECTOR_ACTIVE)); 212 PetscCallCeed(ceed, CeedOperatorSetField(op_rhs_boundary, "qdata", elem_restr_qdata, CEED_BASIS_NONE, q_data)); 213 PetscCallCeed(ceed, CeedOperatorSetField(op_rhs_boundary, "diffusive flux RHS", elem_restr_diff_flux_boundary, basis_diff_flux_boundary, 214 CEED_VECTOR_ACTIVE)); 215 216 PetscCallCeed(ceed, CeedCompositeOperatorAddSub(*op_rhs, op_rhs_boundary)); 217 218 PetscCallCeed(ceed, CeedOperatorDestroy(&op_rhs_boundary)); 219 PetscCallCeed(ceed, CeedElemRestrictionDestroy(&elem_restr_qdata)); 220 PetscCallCeed(ceed, CeedElemRestrictionDestroy(&elem_restr_q)); 221 PetscCallCeed(ceed, CeedElemRestrictionDestroy(&elem_restr_diff_flux_boundary)); 222 PetscCallCeed(ceed, CeedBasisDestroy(&basis_q)); 223 PetscCallCeed(ceed, CeedBasisDestroy(&basis_diff_flux_boundary)); 224 PetscCallCeed(ceed, CeedVectorDestroy(&q_data)); 225 } 226 PetscCall(PetscFree(orientation_values)); 227 } 228 PetscCall(PetscFree(face_set_values)); 229 PetscCallCeed(ceed, CeedQFunctionDestroy(&qf_rhs_boundary)); 230 } 231 232 PetscCallCeed(ceed, CeedQFunctionContextDestroy(&newtonian_qfctx)); 233 PetscFunctionReturn(PETSC_SUCCESS); 234 } 235 236 /** 237 @brief Create RHS CeedOperator for indirect projection of divergence of diffusive flux 238 239 @param[in] honee `Honee` context 240 @param[in] diff_flux_proj `DivDiffFluxProjectionData` object 241 @param[out] op_rhs Operator to calculate the RHS of the L^2 projection 242 **/ 243 static PetscErrorCode DivDiffFluxProjectionCreateRHS_Indirect_NS(Honee honee, DivDiffFluxProjectionData diff_flux_proj, CeedOperator *op_rhs) { 244 Ceed ceed = honee->ceed; 245 NodalProjectionData projection = diff_flux_proj->projection; 246 CeedBasis basis_diff_flux; 247 CeedElemRestriction elem_restr_diff_flux, elem_restr_qd; 248 CeedVector q_data; 249 CeedInt num_comp_q, q_data_size; 250 PetscInt dim; 251 PetscInt label_value = 0, height = 0, dm_field = 0; 252 DMLabel domain_label = NULL; 253 CeedQFunction qf_rhs; 254 CeedQFunctionContext newtonian_qfctx = NULL; 255 256 PetscFunctionBeginUser; 257 PetscCall(DMGetDimension(projection->dm, &dim)); 258 PetscCallCeed(ceed, CeedBasisGetNumComponents(honee->basis_q, &num_comp_q)); 259 260 { // Get newtonian QF context 261 CeedOperator *sub_ops, main_op = honee->op_ifunction ? honee->op_ifunction : honee->op_rhs_ctx->op; 262 PetscInt sub_op_index = 0; // will be 0 for the volume op 263 264 PetscCallCeed(ceed, CeedCompositeOperatorGetSubList(main_op, &sub_ops)); 265 PetscCallCeed(ceed, CeedOperatorGetContext(sub_ops[sub_op_index], &newtonian_qfctx)); 266 } 267 PetscCall(DMPlexCeedElemRestrictionCreate(ceed, projection->dm, domain_label, label_value, height, dm_field, &elem_restr_diff_flux)); 268 PetscCall(CreateBasisFromPlex(ceed, projection->dm, domain_label, label_value, height, dm_field, &basis_diff_flux)); 269 PetscCall(QDataGet(ceed, projection->dm, domain_label, label_value, honee->elem_restr_x, honee->basis_x, honee->x_coord, &elem_restr_qd, &q_data, 270 &q_data_size)); 271 272 switch (honee->phys->state_var) { 273 case STATEVAR_PRIMITIVE: 274 PetscCallCeed(ceed, CeedQFunctionCreateInterior(ceed, 1, DiffusiveFluxRHS_NS_Prim, DiffusiveFluxRHS_NS_Prim_loc, &qf_rhs)); 275 break; 276 case STATEVAR_CONSERVATIVE: 277 PetscCallCeed(ceed, CeedQFunctionCreateInterior(ceed, 1, DiffusiveFluxRHS_NS_Conserv, DiffusiveFluxRHS_NS_Conserv_loc, &qf_rhs)); 278 break; 279 case STATEVAR_ENTROPY: 280 PetscCallCeed(ceed, CeedQFunctionCreateInterior(ceed, 1, DiffusiveFluxRHS_NS_Entropy, DiffusiveFluxRHS_NS_Entropy_loc, &qf_rhs)); 281 break; 282 } 283 284 PetscCallCeed(ceed, CeedQFunctionSetContext(qf_rhs, newtonian_qfctx)); 285 PetscCallCeed(ceed, CeedQFunctionAddInput(qf_rhs, "q", num_comp_q, CEED_EVAL_INTERP)); 286 PetscCallCeed(ceed, CeedQFunctionAddInput(qf_rhs, "Grad_q", num_comp_q * dim, CEED_EVAL_GRAD)); 287 PetscCallCeed(ceed, CeedQFunctionAddInput(qf_rhs, "qdata", q_data_size, CEED_EVAL_NONE)); 288 PetscCallCeed(ceed, CeedQFunctionAddOutput(qf_rhs, "F_diff RHS", projection->num_comp, CEED_EVAL_INTERP)); 289 290 PetscCallCeed(ceed, CeedOperatorCreate(ceed, qf_rhs, NULL, NULL, op_rhs)); 291 PetscCallCeed(ceed, CeedOperatorSetField(*op_rhs, "q", honee->elem_restr_q, honee->basis_q, CEED_VECTOR_ACTIVE)); 292 PetscCallCeed(ceed, CeedOperatorSetField(*op_rhs, "Grad_q", honee->elem_restr_q, honee->basis_q, CEED_VECTOR_ACTIVE)); 293 PetscCallCeed(ceed, CeedOperatorSetField(*op_rhs, "qdata", elem_restr_qd, CEED_BASIS_NONE, q_data)); 294 PetscCallCeed(ceed, CeedOperatorSetField(*op_rhs, "F_diff RHS", elem_restr_diff_flux, basis_diff_flux, CEED_VECTOR_ACTIVE)); 295 296 PetscCallCeed(ceed, CeedQFunctionDestroy(&qf_rhs)); 297 PetscCallCeed(ceed, CeedQFunctionContextDestroy(&newtonian_qfctx)); 298 PetscCallCeed(ceed, CeedBasisDestroy(&basis_diff_flux)); 299 PetscCallCeed(ceed, CeedVectorDestroy(&q_data)); 300 PetscCallCeed(ceed, CeedElemRestrictionDestroy(&elem_restr_qd)); 301 PetscCallCeed(ceed, CeedElemRestrictionDestroy(&elem_restr_diff_flux)); 302 PetscFunctionReturn(PETSC_SUCCESS); 303 } 304 305 static PetscErrorCode BoundaryIntegralBCSetup_CreateIFunctionQF(BCDefinition bc_def, CeedQFunction *qf) { 306 HoneeBCStruct honee_bc; 307 308 PetscFunctionBeginUser; 309 PetscCall(BCDefinitionGetContext(bc_def, &honee_bc)); 310 Honee honee = honee_bc->honee; 311 312 switch (honee->phys->state_var) { 313 case STATEVAR_CONSERVATIVE: 314 PetscCall(HoneeBCCreateIFunctionQF(bc_def, BoundaryIntegral_Conserv, BoundaryIntegral_Conserv_loc, honee_bc->qfctx, qf)); 315 break; 316 case STATEVAR_PRIMITIVE: 317 PetscCall(HoneeBCCreateIFunctionQF(bc_def, BoundaryIntegral_Prim, BoundaryIntegral_Prim_loc, honee_bc->qfctx, qf)); 318 break; 319 case STATEVAR_ENTROPY: 320 PetscCall(HoneeBCCreateIFunctionQF(bc_def, BoundaryIntegral_Entropy, BoundaryIntegral_Entropy_loc, honee_bc->qfctx, qf)); 321 break; 322 } 323 PetscFunctionReturn(PETSC_SUCCESS); 324 } 325 326 static PetscErrorCode BoundaryIntegralBCSetup_CreateIJacobianQF(BCDefinition bc_def, CeedQFunction *qf) { 327 HoneeBCStruct honee_bc; 328 329 PetscFunctionBeginUser; 330 PetscCall(BCDefinitionGetContext(bc_def, &honee_bc)); 331 Honee honee = honee_bc->honee; 332 333 switch (honee->phys->state_var) { 334 case STATEVAR_CONSERVATIVE: 335 PetscCall(HoneeBCCreateIJacobianQF(bc_def, BoundaryIntegral_Jacobian_Conserv, BoundaryIntegral_Jacobian_Conserv_loc, honee_bc->qfctx, qf)); 336 break; 337 case STATEVAR_PRIMITIVE: 338 PetscCall(HoneeBCCreateIJacobianQF(bc_def, BoundaryIntegral_Jacobian_Prim, BoundaryIntegral_Jacobian_Prim_loc, honee_bc->qfctx, qf)); 339 break; 340 case STATEVAR_ENTROPY: 341 PetscCall(HoneeBCCreateIJacobianQF(bc_def, BoundaryIntegral_Jacobian_Entropy, BoundaryIntegral_Jacobian_Entropy_loc, honee_bc->qfctx, qf)); 342 break; 343 } 344 PetscFunctionReturn(PETSC_SUCCESS); 345 } 346 347 PetscErrorCode NS_NEWTONIAN_IG(ProblemData problem, DM dm, void *ctx) { 348 SetupContext setup_context; 349 Honee honee = *(Honee *)ctx; 350 CeedInt degree = honee->app_ctx->degree; 351 StabilizationType stab; 352 StateVariable state_var; 353 MPI_Comm comm = honee->comm; 354 Ceed ceed = honee->ceed; 355 PetscBool implicit; 356 PetscBool unit_tests; 357 NewtonianIdealGasContext newtonian_ig_ctx; 358 CeedQFunctionContext newtonian_ig_qfctx; 359 360 PetscFunctionBeginUser; 361 PetscCall(PetscCalloc1(1, &setup_context)); 362 PetscCall(PetscCalloc1(1, &newtonian_ig_ctx)); 363 364 // ------------------------------------------------------ 365 // Setup Generic Newtonian IG Problem 366 // ------------------------------------------------------ 367 problem->num_comps_jac_data = 14; 368 problem->compute_exact_solution_error = PETSC_FALSE; 369 problem->print_info = PRINT_NEWTONIAN; 370 371 PetscCall(DivDiffFluxProjectionCreate(honee, 4, &honee->diff_flux_proj)); 372 if (honee->diff_flux_proj) { 373 DivDiffFluxProjectionData diff_flux_proj = honee->diff_flux_proj; 374 NodalProjectionData projection = diff_flux_proj->projection; 375 376 diff_flux_proj->CreateRHSOperator_Direct = DivDiffFluxProjectionCreateRHS_Direct_NS; 377 diff_flux_proj->CreateRHSOperator_Indirect = DivDiffFluxProjectionCreateRHS_Indirect_NS; 378 379 switch (honee->diff_flux_proj->method) { 380 case DIV_DIFF_FLUX_PROJ_DIRECT: { 381 PetscSection section; 382 383 PetscCall(DMGetLocalSection(projection->dm, §ion)); 384 PetscCall(PetscSectionSetFieldName(section, 0, "")); 385 PetscCall(PetscSectionSetComponentName(section, 0, 0, "DivDiffusiveFlux_MomentumX")); 386 PetscCall(PetscSectionSetComponentName(section, 0, 1, "DivDiffusiveFlux_MomentumY")); 387 PetscCall(PetscSectionSetComponentName(section, 0, 2, "DivDiffusiveFlux_MomentumZ")); 388 PetscCall(PetscSectionSetComponentName(section, 0, 3, "DivDiffusiveFlux_Energy")); 389 } break; 390 case DIV_DIFF_FLUX_PROJ_INDIRECT: { 391 PetscSection section; 392 393 PetscCall(DMGetLocalSection(projection->dm, §ion)); 394 PetscCall(PetscSectionSetFieldName(section, 0, "")); 395 PetscCall(PetscSectionSetComponentName(section, 0, 0, "DiffusiveFlux_MomentumXX")); 396 PetscCall(PetscSectionSetComponentName(section, 0, 1, "DiffusiveFlux_MomentumXY")); 397 PetscCall(PetscSectionSetComponentName(section, 0, 2, "DiffusiveFlux_MomentumXZ")); 398 PetscCall(PetscSectionSetComponentName(section, 0, 3, "DiffusiveFlux_MomentumYX")); 399 PetscCall(PetscSectionSetComponentName(section, 0, 4, "DiffusiveFlux_MomentumYY")); 400 PetscCall(PetscSectionSetComponentName(section, 0, 5, "DiffusiveFlux_MomentumYZ")); 401 PetscCall(PetscSectionSetComponentName(section, 0, 6, "DiffusiveFlux_MomentumZX")); 402 PetscCall(PetscSectionSetComponentName(section, 0, 7, "DiffusiveFlux_MomentumZY")); 403 PetscCall(PetscSectionSetComponentName(section, 0, 8, "DiffusiveFlux_MomentumZZ")); 404 PetscCall(PetscSectionSetComponentName(section, 0, 9, "DiffusiveFlux_EnergyX")); 405 PetscCall(PetscSectionSetComponentName(section, 0, 10, "DiffusiveFlux_EnergyY")); 406 PetscCall(PetscSectionSetComponentName(section, 0, 11, "DiffusiveFlux_EnergyZ")); 407 } break; 408 case DIV_DIFF_FLUX_PROJ_NONE: 409 SETERRQ(PetscObjectComm((PetscObject)honee->dm), PETSC_ERR_ARG_WRONG, "Should not reach here with div_diff_flux_projection_method %s", 410 DivDiffFluxProjectionMethods[honee->app_ctx->divFdiffproj_method]); 411 break; 412 } 413 } 414 415 // ------------------------------------------------------ 416 // Create the QFunction context 417 // ------------------------------------------------------ 418 CeedScalar cv = 717.; // J/(kg K) 419 CeedScalar cp = 1004.; // J/(kg K) 420 CeedScalar g[3] = {0, 0, 0}; // m/s^2 421 CeedScalar lambda = -2. / 3.; // - 422 CeedScalar mu = 1.8e-5; // Pa s, dynamic viscosity 423 CeedScalar k = 0.02638; // W/(m K) 424 CeedScalar c_tau = 0.5 / degree; // - 425 CeedScalar Ctau_t = 1.0; // - 426 CeedScalar Cv_func[3] = {36, 60, 128}; 427 CeedScalar Ctau_v = Cv_func[(CeedInt)Min(3, degree) - 1]; 428 CeedScalar Ctau_C = 0.25 / degree; 429 CeedScalar Ctau_M = 0.25 / degree; 430 CeedScalar Ctau_E = 0.125; 431 PetscReal domain_min[3], domain_max[3], domain_size[3]; 432 PetscCall(DMGetBoundingBox(dm, domain_min, domain_max)); 433 for (PetscInt i = 0; i < 3; i++) domain_size[i] = domain_max[i] - domain_min[i]; 434 435 StatePrimitive reference = {.pressure = 1.01e5, .velocity = {0}, .temperature = 288.15}; 436 CeedScalar idl_decay_time = -1, idl_start = 0, idl_length = 0, idl_pressure = reference.pressure; 437 PetscBool idl_enable = PETSC_FALSE; 438 439 // ------------------------------------------------------ 440 // Create the PETSc context 441 // ------------------------------------------------------ 442 PetscScalar meter = 1; // 1 meter in scaled length units 443 PetscScalar kilogram = 1; // 1 kilogram in scaled mass units 444 PetscScalar second = 1; // 1 second in scaled time units 445 PetscScalar Kelvin = 1; // 1 Kelvin in scaled temperature units 446 PetscScalar W_per_m_K, Pascal, J_per_kg_K, m_per_squared_s; 447 448 // ------------------------------------------------------ 449 // Command line Options 450 // ------------------------------------------------------ 451 PetscBool given_option = PETSC_FALSE; 452 PetscOptionsBegin(comm, NULL, "Options for Newtonian Ideal Gas based problem", NULL); 453 // -- Conservative vs Primitive variables 454 PetscCall(PetscOptionsEnum("-state_var", "State variables used", NULL, StateVariables, (PetscEnum)(state_var = STATEVAR_CONSERVATIVE), 455 (PetscEnum *)&state_var, NULL)); 456 457 switch (state_var) { 458 case STATEVAR_CONSERVATIVE: 459 problem->ics.qf_func_ptr = ICsNewtonianIG_Conserv; 460 problem->ics.qf_loc = ICsNewtonianIG_Conserv_loc; 461 problem->apply_vol_rhs.qf_func_ptr = RHSFunction_Newtonian; 462 problem->apply_vol_rhs.qf_loc = RHSFunction_Newtonian_loc; 463 problem->apply_vol_ifunction.qf_func_ptr = IFunction_Newtonian_Conserv; 464 problem->apply_vol_ifunction.qf_loc = IFunction_Newtonian_Conserv_loc; 465 problem->apply_vol_ijacobian.qf_func_ptr = IJacobian_Newtonian_Conserv; 466 problem->apply_vol_ijacobian.qf_loc = IJacobian_Newtonian_Conserv_loc; 467 break; 468 case STATEVAR_PRIMITIVE: 469 problem->ics.qf_func_ptr = ICsNewtonianIG_Prim; 470 problem->ics.qf_loc = ICsNewtonianIG_Prim_loc; 471 problem->apply_vol_ifunction.qf_func_ptr = IFunction_Newtonian_Prim; 472 problem->apply_vol_ifunction.qf_loc = IFunction_Newtonian_Prim_loc; 473 problem->apply_vol_ijacobian.qf_func_ptr = IJacobian_Newtonian_Prim; 474 problem->apply_vol_ijacobian.qf_loc = IJacobian_Newtonian_Prim_loc; 475 break; 476 case STATEVAR_ENTROPY: 477 problem->ics.qf_func_ptr = ICsNewtonianIG_Entropy; 478 problem->ics.qf_loc = ICsNewtonianIG_Entropy_loc; 479 problem->apply_vol_ifunction.qf_func_ptr = IFunction_Newtonian_Entropy; 480 problem->apply_vol_ifunction.qf_loc = IFunction_Newtonian_Entropy_loc; 481 problem->apply_vol_ijacobian.qf_func_ptr = IJacobian_Newtonian_Entropy; 482 problem->apply_vol_ijacobian.qf_loc = IJacobian_Newtonian_Entropy_loc; 483 break; 484 } 485 486 // -- Physics 487 PetscCall(PetscOptionsScalar("-cv", "Heat capacity at constant volume", NULL, cv, &cv, NULL)); 488 PetscCall(PetscOptionsScalar("-cp", "Heat capacity at constant pressure", NULL, cp, &cp, NULL)); 489 PetscCall(PetscOptionsScalar("-lambda", "Stokes hypothesis second viscosity coefficient", NULL, lambda, &lambda, NULL)); 490 PetscCall(PetscOptionsScalar("-mu", "Shear dynamic viscosity coefficient", NULL, mu, &mu, NULL)); 491 PetscCall(PetscOptionsScalar("-k", "Thermal conductivity", NULL, k, &k, NULL)); 492 493 PetscInt dim = 3; 494 PetscCall(PetscOptionsDeprecated("-g", "-gravity", "libCEED 0.11.1", NULL)); 495 PetscCall(PetscOptionsRealArray("-gravity", "Gravitational acceleration vector", NULL, g, &dim, &given_option)); 496 if (given_option) PetscCheck(dim == 3, comm, PETSC_ERR_ARG_SIZ, "Gravity vector must be size 3, %" PetscInt_FMT " values given", dim); 497 498 PetscCall(PetscOptionsEnum("-stab", "Stabilization method", NULL, StabilizationTypes, (PetscEnum)(stab = STAB_NONE), (PetscEnum *)&stab, NULL)); 499 PetscCall(PetscOptionsScalar("-c_tau", "Stabilization constant", NULL, c_tau, &c_tau, NULL)); 500 PetscCall(PetscOptionsScalar("-Ctau_t", "Stabilization time constant", NULL, Ctau_t, &Ctau_t, NULL)); 501 PetscCall(PetscOptionsScalar("-Ctau_v", "Stabilization viscous constant", NULL, Ctau_v, &Ctau_v, NULL)); 502 PetscCall(PetscOptionsScalar("-Ctau_C", "Stabilization continuity constant", NULL, Ctau_C, &Ctau_C, NULL)); 503 PetscCall(PetscOptionsScalar("-Ctau_M", "Stabilization momentum constant", NULL, Ctau_M, &Ctau_M, NULL)); 504 PetscCall(PetscOptionsScalar("-Ctau_E", "Stabilization energy constant", NULL, Ctau_E, &Ctau_E, NULL)); 505 PetscCall(PetscOptionsBool("-implicit", "Use implicit (IFunction) formulation", NULL, implicit = PETSC_FALSE, &implicit, NULL)); 506 PetscCall(PetscOptionsBool("-newtonian_unit_tests", "Run Newtonian unit tests", NULL, unit_tests = PETSC_FALSE, &unit_tests, NULL)); 507 508 dim = 3; 509 PetscCall(PetscOptionsScalar("-reference_pressure", "Reference/initial pressure", NULL, reference.pressure, &reference.pressure, NULL)); 510 PetscCall(PetscOptionsScalarArray("-reference_velocity", "Reference/initial velocity", NULL, reference.velocity, &dim, NULL)); 511 PetscCall(PetscOptionsScalar("-reference_temperature", "Reference/initial temperature", NULL, reference.temperature, &reference.temperature, NULL)); 512 513 // -- Units 514 PetscCall(PetscOptionsScalar("-units_meter", "1 meter in scaled length units", NULL, meter, &meter, NULL)); 515 meter = fabs(meter); 516 PetscCall(PetscOptionsScalar("-units_kilogram", "1 kilogram in scaled mass units", NULL, kilogram, &kilogram, NULL)); 517 kilogram = fabs(kilogram); 518 PetscCall(PetscOptionsScalar("-units_second", "1 second in scaled time units", NULL, second, &second, NULL)); 519 second = fabs(second); 520 PetscCall(PetscOptionsScalar("-units_Kelvin", "1 Kelvin in scaled temperature units", NULL, Kelvin, &Kelvin, NULL)); 521 Kelvin = fabs(Kelvin); 522 523 // -- Warnings 524 PetscCheck(!(state_var == STATEVAR_PRIMITIVE && !implicit), comm, PETSC_ERR_SUP, 525 "RHSFunction is not provided for primitive variables (use -state_var primitive only with -implicit)\n"); 526 527 PetscCall(PetscOptionsScalar("-idl_decay_time", "Characteristic timescale of the pressure deviance decay. The timestep is good starting point", 528 NULL, idl_decay_time, &idl_decay_time, &idl_enable)); 529 PetscCheck(!(idl_enable && idl_decay_time == 0), comm, PETSC_ERR_SUP, "idl_decay_time may not be equal to zero."); 530 if (idl_decay_time < 0) idl_enable = PETSC_FALSE; 531 if (idl_enable) problem->num_comps_jac_data++; 532 PetscCall(PetscOptionsScalar("-idl_start", "Start of IDL in the x direction", NULL, idl_start, &idl_start, NULL)); 533 PetscCall(PetscOptionsScalar("-idl_length", "Length of IDL in the positive x direction", NULL, idl_length, &idl_length, NULL)); 534 idl_pressure = reference.pressure; 535 PetscCall(PetscOptionsScalar("-idl_pressure", "Pressure IDL uses as reference (default is `-reference_pressure`)", NULL, idl_pressure, 536 &idl_pressure, NULL)); 537 PetscOptionsEnd(); 538 539 if (stab == STAB_SUPG && !implicit) problem->create_mass_operator = CreateKSPMassOperator_NewtonianStabilized; 540 541 // ------------------------------------------------------ 542 // Set up the PETSc context 543 // ------------------------------------------------------ 544 // -- Define derived units 545 Pascal = kilogram / (meter * PetscSqr(second)); 546 J_per_kg_K = PetscSqr(meter) / (PetscSqr(second) * Kelvin); 547 m_per_squared_s = meter / PetscSqr(second); 548 W_per_m_K = kilogram * meter / (pow(second, 3) * Kelvin); 549 550 honee->units->meter = meter; 551 honee->units->kilogram = kilogram; 552 honee->units->second = second; 553 honee->units->Kelvin = Kelvin; 554 honee->units->Pascal = Pascal; 555 honee->units->J_per_kg_K = J_per_kg_K; 556 honee->units->m_per_squared_s = m_per_squared_s; 557 honee->units->W_per_m_K = W_per_m_K; 558 559 // ------------------------------------------------------ 560 // Set up the QFunction context 561 // ------------------------------------------------------ 562 // -- Scale variables to desired units 563 cv *= J_per_kg_K; 564 cp *= J_per_kg_K; 565 mu *= Pascal * second; 566 k *= W_per_m_K; 567 for (PetscInt i = 0; i < 3; i++) domain_size[i] *= meter; 568 for (PetscInt i = 0; i < 3; i++) g[i] *= m_per_squared_s; 569 reference.pressure *= Pascal; 570 for (PetscInt i = 0; i < 3; i++) reference.velocity[i] *= meter / second; 571 reference.temperature *= Kelvin; 572 573 // -- Solver Settings 574 honee->phys->implicit = implicit; 575 honee->phys->state_var = state_var; 576 577 // -- QFunction Context 578 newtonian_ig_ctx->lambda = lambda; 579 newtonian_ig_ctx->mu = mu; 580 newtonian_ig_ctx->k = k; 581 newtonian_ig_ctx->cv = cv; 582 newtonian_ig_ctx->cp = cp; 583 newtonian_ig_ctx->c_tau = c_tau; 584 newtonian_ig_ctx->Ctau_t = Ctau_t; 585 newtonian_ig_ctx->Ctau_v = Ctau_v; 586 newtonian_ig_ctx->Ctau_C = Ctau_C; 587 newtonian_ig_ctx->Ctau_M = Ctau_M; 588 newtonian_ig_ctx->Ctau_E = Ctau_E; 589 newtonian_ig_ctx->stabilization = stab; 590 newtonian_ig_ctx->is_implicit = implicit; 591 newtonian_ig_ctx->state_var = state_var; 592 newtonian_ig_ctx->idl_enable = idl_enable; 593 newtonian_ig_ctx->idl_amplitude = 1 / (idl_decay_time * second); 594 newtonian_ig_ctx->idl_start = idl_start * meter; 595 newtonian_ig_ctx->idl_length = idl_length * meter; 596 newtonian_ig_ctx->idl_pressure = idl_pressure; 597 newtonian_ig_ctx->divFdiff_method = honee->app_ctx->divFdiffproj_method; 598 PetscCall(PetscArraycpy(newtonian_ig_ctx->g, g, 3)); 599 600 // -- Setup Context 601 setup_context->reference = reference; 602 setup_context->gas = *newtonian_ig_ctx; 603 setup_context->lx = domain_size[0]; 604 setup_context->ly = domain_size[1]; 605 setup_context->lz = domain_size[2]; 606 setup_context->time = 0; 607 608 PetscCallCeed(ceed, CeedQFunctionContextCreate(honee->ceed, &problem->ics.qfctx)); 609 PetscCallCeed(ceed, CeedQFunctionContextSetData(problem->ics.qfctx, CEED_MEM_HOST, CEED_USE_POINTER, sizeof(*setup_context), setup_context)); 610 PetscCallCeed(ceed, CeedQFunctionContextSetDataDestroy(problem->ics.qfctx, CEED_MEM_HOST, FreeContextPetsc)); 611 PetscCallCeed( 612 ceed, CeedQFunctionContextRegisterDouble(problem->ics.qfctx, "evaluation time", offsetof(struct SetupContext_, time), 1, "Time of evaluation")); 613 614 PetscCallCeed(ceed, CeedQFunctionContextCreate(honee->ceed, &newtonian_ig_qfctx)); 615 PetscCallCeed(ceed, CeedQFunctionContextSetData(newtonian_ig_qfctx, CEED_MEM_HOST, CEED_USE_POINTER, sizeof(*newtonian_ig_ctx), newtonian_ig_ctx)); 616 PetscCallCeed(ceed, CeedQFunctionContextSetDataDestroy(newtonian_ig_qfctx, CEED_MEM_HOST, FreeContextPetsc)); 617 PetscCallCeed(ceed, CeedQFunctionContextRegisterDouble(newtonian_ig_qfctx, "timestep size", offsetof(struct NewtonianIdealGasContext_, dt), 1, 618 "Size of timestep, delta t")); 619 PetscCallCeed(ceed, CeedQFunctionContextRegisterDouble(newtonian_ig_qfctx, "ijacobian time shift", 620 offsetof(struct NewtonianIdealGasContext_, ijacobian_time_shift), 1, 621 "Shift for mass matrix in IJacobian")); 622 PetscCallCeed(ceed, CeedQFunctionContextRegisterDouble(newtonian_ig_qfctx, "solution time", offsetof(struct NewtonianIdealGasContext_, time), 1, 623 "Current solution time")); 624 625 problem->apply_vol_rhs.qfctx = newtonian_ig_qfctx; 626 PetscCallCeed(ceed, CeedQFunctionContextReferenceCopy(newtonian_ig_qfctx, &problem->apply_vol_ifunction.qfctx)); 627 PetscCallCeed(ceed, CeedQFunctionContextReferenceCopy(newtonian_ig_qfctx, &problem->apply_vol_ijacobian.qfctx)); 628 629 for (PetscCount b = 0; b < problem->num_bc_defs; b++) { 630 BCDefinition bc_def = problem->bc_defs[b]; 631 const char *name; 632 633 PetscCall(BCDefinitionGetInfo(bc_def, &name, NULL, NULL)); 634 if (!strcmp(name, "slip")) { 635 PetscCall(SlipBCSetup(bc_def, problem, dm, ctx, newtonian_ig_qfctx)); 636 } else if (!strcmp(name, "freestream")) { 637 PetscCall(FreestreamBCSetup(bc_def, problem, dm, ctx, newtonian_ig_ctx, &reference)); 638 } else if (!strcmp(name, "outflow")) { 639 PetscCall(OutflowBCSetup(bc_def, problem, dm, ctx, newtonian_ig_ctx, &reference)); 640 } else if (!strcmp(name, "inflow")) { 641 HoneeBCStruct honee_bc; 642 643 PetscCall(PetscNew(&honee_bc)); 644 PetscCallCeed(ceed, CeedQFunctionContextReferenceCopy(newtonian_ig_qfctx, &honee_bc->qfctx)); 645 honee_bc->honee = honee; 646 honee_bc->num_comps_jac_data = honee->phys->implicit ? 11 : 0; 647 PetscCall(BCDefinitionSetContext(bc_def, HoneeBCDestroy, honee_bc)); 648 649 PetscCall(BCDefinitionSetIFunction(bc_def, BoundaryIntegralBCSetup_CreateIFunctionQF, HoneeBCAddIFunctionOp)); 650 PetscCall(BCDefinitionSetIJacobian(bc_def, BoundaryIntegralBCSetup_CreateIJacobianQF, HoneeBCAddIJacobianOp)); 651 } 652 } 653 654 if (unit_tests) { 655 PetscCall(UnitTests_Newtonian(honee, newtonian_ig_ctx)); 656 } 657 PetscFunctionReturn(PETSC_SUCCESS); 658 } 659 660 PetscErrorCode PRINT_NEWTONIAN(Honee honee, ProblemData problem, AppCtx app_ctx) { 661 MPI_Comm comm = honee->comm; 662 Ceed ceed = honee->ceed; 663 NewtonianIdealGasContext newtonian_ctx; 664 665 PetscFunctionBeginUser; 666 PetscCallCeed(ceed, CeedQFunctionContextGetData(problem->apply_vol_rhs.qfctx, CEED_MEM_HOST, &newtonian_ctx)); 667 PetscCall(PetscPrintf(comm, 668 " Problem:\n" 669 " Problem Name : %s\n" 670 " Stabilization : %s\n", 671 app_ctx->problem_name, StabilizationTypes[newtonian_ctx->stabilization])); 672 PetscCallCeed(ceed, CeedQFunctionContextRestoreData(problem->apply_vol_rhs.qfctx, &newtonian_ctx)); 673 PetscFunctionReturn(PETSC_SUCCESS); 674 } 675 676 static PetscErrorCode CheckQWithTolerance(const CeedScalar Q_s[5], const CeedScalar Q_a[5], const CeedScalar Q_b[5], const char *name, 677 PetscReal rtol_0, PetscReal rtol_u, PetscReal rtol_4) { 678 CeedScalar relative_error[5]; // relative error 679 CeedScalar divisor_threshold = 10 * CEED_EPSILON; 680 681 PetscFunctionBeginUser; 682 relative_error[0] = (Q_a[0] - Q_b[0]) / (fabs(Q_s[0]) > divisor_threshold ? Q_s[0] : 1); 683 relative_error[4] = (Q_a[4] - Q_b[4]) / (fabs(Q_s[4]) > divisor_threshold ? Q_s[4] : 1); 684 685 CeedScalar u_magnitude = sqrt(Square(Q_s[1]) + Square(Q_s[2]) + Square(Q_s[3])); 686 CeedScalar u_divisor = u_magnitude > divisor_threshold ? u_magnitude : 1; 687 for (int i = 1; i < 4; i++) { 688 relative_error[i] = (Q_a[i] - Q_b[i]) / u_divisor; 689 } 690 691 if (fabs(relative_error[0]) >= rtol_0) { 692 printf("%s[0] error %g (expected %.10e, got %.10e)\n", name, relative_error[0], Q_s[0], Q_a[0]); 693 } 694 for (int i = 1; i < 4; i++) { 695 if (fabs(relative_error[i]) >= rtol_u) { 696 printf("%s[%d] error %g (expected %.10e, got %.10e)\n", name, i, relative_error[i], Q_s[i], Q_a[i]); 697 } 698 } 699 if (fabs(relative_error[4]) >= rtol_4) { 700 printf("%s[4] error %g (expected %.10e, got %.10e)\n", name, relative_error[4], Q_s[4], Q_a[4]); 701 } 702 PetscFunctionReturn(PETSC_SUCCESS); 703 } 704 705 // @brief Verify `StateFromQ` by converting A0 -> B0 -> A0_test, where A0 should equal A0_test 706 static PetscErrorCode TestState(StateVariable state_var_A, StateVariable state_var_B, NewtonianIdealGasContext gas, const CeedScalar A0[5], 707 CeedScalar rtol_0, CeedScalar rtol_u, CeedScalar rtol_4) { 708 CeedScalar B0[5], A0_test[5]; 709 char buf[128]; 710 const char *const StateVariables_Initial[] = {"U", "Y", "V"}; 711 712 PetscFunctionBeginUser; 713 const char *A_initial = StateVariables_Initial[state_var_A]; 714 const char *B_initial = StateVariables_Initial[state_var_B]; 715 716 State state_A0 = StateFromQ(gas, A0, state_var_A); 717 StateToQ(gas, state_A0, B0, state_var_B); 718 State state_B0 = StateFromQ(gas, B0, state_var_B); 719 StateToQ(gas, state_B0, A0_test, state_var_A); 720 721 snprintf(buf, sizeof buf, "%s->%s->%s: %s", A_initial, B_initial, A_initial, A_initial); 722 PetscCall(CheckQWithTolerance(A0, A0_test, A0, buf, rtol_0, rtol_u, rtol_4)); 723 PetscFunctionReturn(PETSC_SUCCESS); 724 } 725 726 // @brief Verify `StateFromQ_fwd` via a finite difference approximation 727 static PetscErrorCode TestState_fwd(StateVariable state_var_A, StateVariable state_var_B, NewtonianIdealGasContext gas, const CeedScalar A0[5], 728 CeedScalar rtol_0, CeedScalar rtol_u, CeedScalar rtol_4) { 729 CeedScalar eps = 4e-7; // Finite difference step 730 char buf[128]; 731 const char *const StateVariables_Initial[] = {"U", "Y", "V"}; 732 733 PetscFunctionBeginUser; 734 const char *A_initial = StateVariables_Initial[state_var_A]; 735 const char *B_initial = StateVariables_Initial[state_var_B]; 736 State state_0 = StateFromQ(gas, A0, state_var_A); 737 738 for (int i = 0; i < 5; i++) { 739 CeedScalar dB[5] = {0.}, dB_fd[5] = {0.}; 740 { // Calculate dB using State functions 741 CeedScalar dA[5] = {0}; 742 743 dA[i] = A0[i]; 744 State dstate_0 = StateFromQ_fwd(gas, state_0, dA, state_var_A); 745 StateToQ_fwd(gas, state_0, dstate_0, dB, state_var_B); 746 } 747 748 { // Calculate dB_fd via finite difference approximation 749 CeedScalar A1[5], B0[5], B1[5]; 750 751 for (int j = 0; j < 5; j++) A1[j] = (1 + eps * (i == j)) * A0[j]; 752 State state_1 = StateFromQ(gas, A1, state_var_A); 753 StateToQ(gas, state_0, B0, state_var_B); 754 StateToQ(gas, state_1, B1, state_var_B); 755 for (int j = 0; j < 5; j++) dB_fd[j] = (B1[j] - B0[j]) / eps; 756 } 757 758 snprintf(buf, sizeof buf, "d%s->d%s: StateFrom%s_fwd i=%d: d%s", A_initial, B_initial, A_initial, i, B_initial); 759 PetscCall(CheckQWithTolerance(dB_fd, dB, dB_fd, buf, rtol_0, rtol_u, rtol_4)); 760 } 761 PetscFunctionReturn(PETSC_SUCCESS); 762 } 763 764 // @brief Test the Newtonian State transformation functions, `StateFrom*` 765 static PetscErrorCode UnitTests_Newtonian(Honee honee, NewtonianIdealGasContext gas) { 766 Units units = honee->units; 767 const CeedScalar kg = units->kilogram, m = units->meter, sec = units->second, K = units->Kelvin; 768 CeedScalar rtol; 769 770 PetscFunctionBeginUser; 771 const CeedScalar T = 200 * K; 772 const CeedScalar rho = 1.2 * kg / Cube(m); 773 const CeedScalar P = (HeatCapacityRatio(gas) - 1) * rho * gas->cv * T; 774 const CeedScalar u_base = 40 * m / sec; 775 const CeedScalar u[3] = {u_base, u_base * 1.1, u_base * 1.2}; 776 const CeedScalar e_kinetic = 0.5 * Dot3(u, u); 777 const CeedScalar e_internal = gas->cv * T; 778 const CeedScalar e_total = e_kinetic + e_internal; 779 const CeedScalar gamma = HeatCapacityRatio(gas); 780 const CeedScalar entropy = log(P) - gamma * log(rho); 781 const CeedScalar rho_div_p = rho / P; 782 const CeedScalar Y0[5] = {P, u[0], u[1], u[2], T}; 783 const CeedScalar U0[5] = {rho, rho * u[0], rho * u[1], rho * u[2], rho * e_total}; 784 const CeedScalar V0[5] = {(gamma - entropy) / (gamma - 1) - rho_div_p * (e_kinetic), rho_div_p * u[0], rho_div_p * u[1], rho_div_p * u[2], 785 -rho_div_p}; 786 787 rtol = 20 * CEED_EPSILON; 788 PetscCall(TestState(STATEVAR_PRIMITIVE, STATEVAR_CONSERVATIVE, gas, Y0, rtol, rtol, rtol)); 789 PetscCall(TestState(STATEVAR_PRIMITIVE, STATEVAR_ENTROPY, gas, Y0, rtol, rtol, rtol)); 790 PetscCall(TestState(STATEVAR_CONSERVATIVE, STATEVAR_PRIMITIVE, gas, U0, rtol, rtol, rtol)); 791 PetscCall(TestState(STATEVAR_CONSERVATIVE, STATEVAR_ENTROPY, gas, U0, rtol, rtol, rtol)); 792 PetscCall(TestState(STATEVAR_ENTROPY, STATEVAR_CONSERVATIVE, gas, V0, rtol, rtol, rtol)); 793 PetscCall(TestState(STATEVAR_ENTROPY, STATEVAR_PRIMITIVE, gas, V0, rtol, rtol, rtol)); 794 795 rtol = 5e-6; 796 PetscCall(TestState_fwd(STATEVAR_PRIMITIVE, STATEVAR_CONSERVATIVE, gas, Y0, rtol, rtol, rtol)); 797 PetscCall(TestState_fwd(STATEVAR_PRIMITIVE, STATEVAR_ENTROPY, gas, Y0, rtol, rtol, rtol)); 798 PetscCall(TestState_fwd(STATEVAR_CONSERVATIVE, STATEVAR_PRIMITIVE, gas, U0, rtol, rtol, rtol)); 799 PetscCall(TestState_fwd(STATEVAR_CONSERVATIVE, STATEVAR_ENTROPY, gas, U0, 10 * rtol, rtol, rtol)); 800 PetscCall(TestState_fwd(STATEVAR_ENTROPY, STATEVAR_CONSERVATIVE, gas, V0, 5 * rtol, rtol, rtol)); 801 PetscCall(TestState_fwd(STATEVAR_ENTROPY, STATEVAR_PRIMITIVE, gas, V0, 5 * rtol, 5 * rtol, 5 * rtol)); 802 PetscFunctionReturn(PETSC_SUCCESS); 803 } 804