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