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 Freestream boundary condition 6 7 #include "../qfunctions/bc_freestream.h" 8 9 #include <ceed.h> 10 #include <petscdm.h> 11 12 #include <navierstokes.h> 13 #include "../qfunctions/newtonian_types.h" 14 15 static const char *const RiemannSolverTypes[] = {"HLL", "HLLC", "RiemannSolverTypes", "RIEMANN_", NULL}; 16 17 static PetscErrorCode RiemannSolverUnitTests(NewtonianIdealGasContext gas, CeedScalar rtol); 18 19 PetscErrorCode FreestreamBCSetup(ProblemData problem, DM dm, void *ctx, NewtonianIdealGasContext newtonian_ig_ctx, const StatePrimitive *reference) { 20 Honee honee = *(Honee *)ctx; 21 MPI_Comm comm = honee->comm; 22 Ceed ceed = honee->ceed; 23 FreestreamContext freestream_ctx; 24 CeedQFunctionContext freestream_qfctx; 25 RiemannFluxType riemann = RIEMANN_HLLC; 26 PetscScalar meter = honee->units->meter; 27 PetscScalar second = honee->units->second; 28 PetscScalar Kelvin = honee->units->Kelvin; 29 PetscScalar Pascal = honee->units->Pascal; 30 31 PetscFunctionBeginUser; 32 // Freestream inherits reference state. We re-dimensionalize so the defaults 33 // in -help will be visible in SI units. 34 StatePrimitive Y_inf = {.pressure = reference->pressure / Pascal, .velocity = {0}, .temperature = reference->temperature / Kelvin}; 35 for (int i = 0; i < 3; i++) Y_inf.velocity[i] = reference->velocity[i] * second / meter; 36 37 PetscOptionsBegin(comm, NULL, "Options for Freestream boundary condition", NULL); 38 PetscCall(PetscOptionsEnum("-freestream_riemann", "Riemann solver to use in freestream boundary condition", NULL, RiemannSolverTypes, 39 (PetscEnum)riemann, (PetscEnum *)&riemann, NULL)); 40 PetscCall(PetscOptionsScalar("-freestream_pressure", "Pressure at freestream condition", NULL, Y_inf.pressure, &Y_inf.pressure, NULL)); 41 PetscInt narray = 3; 42 PetscCall(PetscOptionsScalarArray("-freestream_velocity", "Velocity at freestream condition", NULL, Y_inf.velocity, &narray, NULL)); 43 PetscCall(PetscOptionsScalar("-freestream_temperature", "Temperature at freestream condition", NULL, Y_inf.temperature, &Y_inf.temperature, NULL)); 44 PetscOptionsEnd(); 45 46 switch (honee->phys->state_var) { 47 case STATEVAR_CONSERVATIVE: 48 switch (riemann) { 49 case RIEMANN_HLL: 50 problem->apply_freestream.qf_func_ptr = Freestream_Conserv_HLL; 51 problem->apply_freestream.qf_loc = Freestream_Conserv_HLL_loc; 52 problem->apply_freestream_jacobian.qf_func_ptr = Freestream_Jacobian_Conserv_HLL; 53 problem->apply_freestream_jacobian.qf_loc = Freestream_Jacobian_Conserv_HLL_loc; 54 break; 55 case RIEMANN_HLLC: 56 problem->apply_freestream.qf_func_ptr = Freestream_Conserv_HLLC; 57 problem->apply_freestream.qf_loc = Freestream_Conserv_HLLC_loc; 58 problem->apply_freestream_jacobian.qf_func_ptr = Freestream_Jacobian_Conserv_HLLC; 59 problem->apply_freestream_jacobian.qf_loc = Freestream_Jacobian_Conserv_HLLC_loc; 60 break; 61 } 62 break; 63 case STATEVAR_PRIMITIVE: 64 switch (riemann) { 65 case RIEMANN_HLL: 66 problem->apply_freestream.qf_func_ptr = Freestream_Prim_HLL; 67 problem->apply_freestream.qf_loc = Freestream_Prim_HLL_loc; 68 problem->apply_freestream_jacobian.qf_func_ptr = Freestream_Jacobian_Prim_HLL; 69 problem->apply_freestream_jacobian.qf_loc = Freestream_Jacobian_Prim_HLL_loc; 70 break; 71 case RIEMANN_HLLC: 72 problem->apply_freestream.qf_func_ptr = Freestream_Prim_HLLC; 73 problem->apply_freestream.qf_loc = Freestream_Prim_HLLC_loc; 74 problem->apply_freestream_jacobian.qf_func_ptr = Freestream_Jacobian_Prim_HLLC; 75 problem->apply_freestream_jacobian.qf_loc = Freestream_Jacobian_Prim_HLLC_loc; 76 break; 77 } 78 break; 79 case STATEVAR_ENTROPY: 80 switch (riemann) { 81 case RIEMANN_HLL: 82 problem->apply_freestream.qf_func_ptr = Freestream_Entropy_HLL; 83 problem->apply_freestream.qf_loc = Freestream_Entropy_HLL_loc; 84 problem->apply_freestream_jacobian.qf_func_ptr = Freestream_Jacobian_Entropy_HLL; 85 problem->apply_freestream_jacobian.qf_loc = Freestream_Jacobian_Entropy_HLL_loc; 86 break; 87 case RIEMANN_HLLC: 88 problem->apply_freestream.qf_func_ptr = Freestream_Entropy_HLLC; 89 problem->apply_freestream.qf_loc = Freestream_Entropy_HLLC_loc; 90 problem->apply_freestream_jacobian.qf_func_ptr = Freestream_Jacobian_Entropy_HLLC; 91 problem->apply_freestream_jacobian.qf_loc = Freestream_Jacobian_Entropy_HLLC_loc; 92 break; 93 } 94 break; 95 } 96 97 Y_inf.pressure *= Pascal; 98 for (int i = 0; i < 3; i++) Y_inf.velocity[i] *= meter / second; 99 Y_inf.temperature *= Kelvin; 100 101 State S_infty = StateFromPrimitive(newtonian_ig_ctx, Y_inf); 102 103 // -- Set freestream_ctx struct values 104 PetscCall(PetscCalloc1(1, &freestream_ctx)); 105 freestream_ctx->newtonian_ctx = *newtonian_ig_ctx; 106 freestream_ctx->S_infty = S_infty; 107 108 PetscCallCeed(ceed, CeedQFunctionContextCreate(honee->ceed, &freestream_qfctx)); 109 PetscCallCeed(ceed, CeedQFunctionContextSetData(freestream_qfctx, CEED_MEM_HOST, CEED_USE_POINTER, sizeof(*freestream_ctx), freestream_ctx)); 110 PetscCallCeed(ceed, CeedQFunctionContextSetDataDestroy(freestream_qfctx, CEED_MEM_HOST, FreeContextPetsc)); 111 problem->apply_freestream.qfctx = freestream_qfctx; 112 PetscCallCeed(ceed, CeedQFunctionContextReferenceCopy(freestream_qfctx, &problem->apply_freestream_jacobian.qfctx)); 113 114 { 115 PetscBool run_unit_tests = PETSC_FALSE; 116 117 PetscCall(PetscOptionsGetBool(NULL, NULL, "-riemann_solver_unit_tests", &run_unit_tests, NULL)); 118 if (run_unit_tests) PetscCall(RiemannSolverUnitTests(newtonian_ig_ctx, 5e-7)); 119 } 120 PetscFunctionReturn(PETSC_SUCCESS); 121 } 122 123 // ***************************************************************************** 124 // Code for verifying the Riemann solver and Riemann Jacobian functions 125 // ***************************************************************************** 126 127 // @brief Calculate relative error, (A - B) / S 128 // If S < threshold, then set S=1 129 static inline CeedScalar RelativeError(CeedScalar S, CeedScalar A, CeedScalar B, CeedScalar threshold) { 130 return (A - B) / (fabs(S) > threshold ? S : 1); 131 } 132 133 // @brief Check errors of a State vector and print if above tolerance 134 static PetscErrorCode CheckQWithTolerance(const CeedScalar Q_s[5], const CeedScalar Q_a[5], const CeedScalar Q_b[5], const char *name, 135 PetscReal rtol_0, PetscReal rtol_u, PetscReal rtol_4) { 136 CeedScalar relative_error[5]; // relative error 137 CeedScalar divisor_threshold = 10 * CEED_EPSILON; 138 139 PetscFunctionBeginUser; 140 relative_error[0] = RelativeError(Q_s[0], Q_a[0], Q_b[0], divisor_threshold); 141 relative_error[4] = RelativeError(Q_s[4], Q_a[4], Q_b[4], divisor_threshold); 142 143 CeedScalar u_magnitude = sqrt(Square(Q_s[1]) + Square(Q_s[2]) + Square(Q_s[3])); 144 for (int i = 1; i < 4; i++) { 145 relative_error[i] = RelativeError(u_magnitude, Q_a[i], Q_b[i], divisor_threshold); 146 } 147 148 if (fabs(relative_error[0]) >= rtol_0) { 149 printf("%s[0] error %g (expected %.10e, got %.10e)\n", name, relative_error[0], Q_s[0], Q_a[0]); 150 } 151 for (int i = 1; i < 4; i++) { 152 if (fabs(relative_error[i]) >= rtol_u) { 153 printf("%s[%d] error %g (expected %.10e, got %.10e)\n", name, i, relative_error[i], Q_s[i], Q_a[i]); 154 } 155 } 156 if (fabs(relative_error[4]) >= rtol_4) { 157 printf("%s[4] error %g (expected %.10e, got %.10e)\n", name, relative_error[4], Q_s[4], Q_a[4]); 158 } 159 PetscFunctionReturn(PETSC_SUCCESS); 160 } 161 162 // @brief Verify RiemannFlux_HLL_fwd function against finite-difference approximation 163 static PetscErrorCode TestRiemannHLL_fwd(NewtonianIdealGasContext gas, CeedScalar rtol_0, CeedScalar rtol_u, CeedScalar rtol_4) { 164 CeedScalar eps = 4e-7; // Finite difference step 165 char buf[128]; 166 const CeedScalar T = 200; 167 const CeedScalar rho = 1.2; 168 const CeedScalar p = (HeatCapacityRatio(gas) - 1) * rho * gas->cv * T; 169 const CeedScalar u_base = 40; 170 const CeedScalar u[3] = {u_base, u_base * 1.1, u_base * 1.2}; 171 const CeedScalar Y0_left[5] = {p, u[0], u[1], u[2], T}; 172 const CeedScalar Y0_right[5] = {1.2 * p, 1.2 * u[0], 1.2 * u[1], 1.2 * u[2], 1.2 * T}; 173 CeedScalar normal[3] = {1, 2, 3}; 174 175 PetscFunctionBeginUser; 176 State left0 = StateFromY(gas, Y0_left); 177 State right0 = StateFromY(gas, Y0_right); 178 ScaleN(normal, 1 / Norm3(normal), 3); 179 180 for (int i = 0; i < 10; i++) { 181 CeedScalar dFlux[5] = {0.}, dFlux_fd[5] = {0.}; 182 { // Calculate dFlux using *_fwd function 183 CeedScalar dY_right[5] = {0}; 184 CeedScalar dY_left[5] = {0}; 185 186 if (i < 5) { 187 dY_left[i] = Y0_left[i]; 188 } else { 189 dY_right[i % 5] = Y0_right[i % 5]; 190 } 191 State dleft0 = StateFromY_fwd(gas, left0, dY_left); 192 State dright0 = StateFromY_fwd(gas, right0, dY_right); 193 194 StateConservative dFlux_state = RiemannFlux_HLL_fwd(gas, left0, dleft0, right0, dright0, normal); 195 UnpackState_U(dFlux_state, dFlux); 196 } 197 198 { // Calculate dFlux_fd via finite difference approximation 199 CeedScalar Y1_left[5] = {Y0_left[0], Y0_left[1], Y0_left[2], Y0_left[3], Y0_left[4]}; 200 CeedScalar Y1_right[5] = {Y0_right[0], Y0_right[1], Y0_right[2], Y0_right[3], Y0_right[4]}; 201 CeedScalar Flux0[5], Flux1[5]; 202 203 if (i < 5) { 204 Y1_left[i] *= 1 + eps; 205 } else { 206 Y1_right[i % 5] *= 1 + eps; 207 } 208 State left1 = StateFromY(gas, Y1_left); 209 State right1 = StateFromY(gas, Y1_right); 210 211 StateConservative Flux0_state = RiemannFlux_HLL(gas, left0, right0, normal); 212 StateConservative Flux1_state = RiemannFlux_HLL(gas, left1, right1, normal); 213 UnpackState_U(Flux0_state, Flux0); 214 UnpackState_U(Flux1_state, Flux1); 215 for (int j = 0; j < 5; j++) dFlux_fd[j] = (Flux1[j] - Flux0[j]) / eps; 216 } 217 218 snprintf(buf, sizeof buf, "RiemannFlux_HLL i=%d: Flux", i); 219 PetscCall(CheckQWithTolerance(dFlux_fd, dFlux, dFlux_fd, buf, rtol_0, rtol_u, rtol_4)); 220 } 221 PetscFunctionReturn(PETSC_SUCCESS); 222 } 223 224 // @brief Verify RiemannFlux_HLLC_fwd function against finite-difference approximation 225 static PetscErrorCode TestRiemannHLLC_fwd(NewtonianIdealGasContext gas, CeedScalar rtol_0, CeedScalar rtol_u, CeedScalar rtol_4) { 226 CeedScalar eps = 4e-7; // Finite difference step 227 char buf[128]; 228 const CeedScalar T = 200; 229 const CeedScalar rho = 1.2; 230 const CeedScalar p = (HeatCapacityRatio(gas) - 1) * rho * gas->cv * T; 231 const CeedScalar u_base = 40; 232 const CeedScalar u[3] = {u_base, u_base * 1.1, u_base * 1.2}; 233 const CeedScalar Y0_left[5] = {p, u[0], u[1], u[2], T}; 234 const CeedScalar Y0_right[5] = {1.2 * p, 1.2 * u[0], 1.2 * u[1], 1.2 * u[2], 1.2 * T}; 235 CeedScalar normal[3] = {1, 2, 3}; 236 237 PetscFunctionBeginUser; 238 State left0 = StateFromY(gas, Y0_left); 239 State right0 = StateFromY(gas, Y0_right); 240 ScaleN(normal, 1 / Norm3(normal), 3); 241 242 for (int i = 0; i < 10; i++) { 243 CeedScalar dFlux[5] = {0.}, dFlux_fd[5] = {0.}; 244 { // Calculate dFlux using *_fwd function 245 CeedScalar dY_right[5] = {0}; 246 CeedScalar dY_left[5] = {0}; 247 248 if (i < 5) { 249 dY_left[i] = Y0_left[i]; 250 } else { 251 dY_right[i % 5] = Y0_right[i % 5]; 252 } 253 State dleft0 = StateFromY_fwd(gas, left0, dY_left); 254 State dright0 = StateFromY_fwd(gas, right0, dY_right); 255 256 StateConservative dFlux_state = RiemannFlux_HLLC_fwd(gas, left0, dleft0, right0, dright0, normal); 257 UnpackState_U(dFlux_state, dFlux); 258 } 259 260 { // Calculate dFlux_fd via finite difference approximation 261 CeedScalar Y1_left[5] = {Y0_left[0], Y0_left[1], Y0_left[2], Y0_left[3], Y0_left[4]}; 262 CeedScalar Y1_right[5] = {Y0_right[0], Y0_right[1], Y0_right[2], Y0_right[3], Y0_right[4]}; 263 CeedScalar Flux0[5], Flux1[5]; 264 265 if (i < 5) { 266 Y1_left[i] *= 1 + eps; 267 } else { 268 Y1_right[i % 5] *= 1 + eps; 269 } 270 State left1 = StateFromY(gas, Y1_left); 271 State right1 = StateFromY(gas, Y1_right); 272 273 StateConservative Flux0_state = RiemannFlux_HLLC(gas, left0, right0, normal); 274 StateConservative Flux1_state = RiemannFlux_HLLC(gas, left1, right1, normal); 275 UnpackState_U(Flux0_state, Flux0); 276 UnpackState_U(Flux1_state, Flux1); 277 for (int j = 0; j < 5; j++) dFlux_fd[j] = (Flux1[j] - Flux0[j]) / eps; 278 } 279 280 snprintf(buf, sizeof buf, "RiemannFlux_HLLC i=%d: Flux", i); 281 PetscCall(CheckQWithTolerance(dFlux_fd, dFlux, dFlux_fd, buf, rtol_0, rtol_u, rtol_4)); 282 } 283 PetscFunctionReturn(PETSC_SUCCESS); 284 } 285 286 // @brief Verify ComputeHLLSpeeds_Roe_fwd function against finite-difference approximation 287 static PetscErrorCode TestComputeHLLSpeeds_Roe_fwd(NewtonianIdealGasContext gas, CeedScalar rtol) { 288 CeedScalar eps = 4e-7; // Finite difference step 289 char buf[128]; 290 const CeedScalar T = 200; 291 const CeedScalar rho = 1.2; 292 const CeedScalar p = (HeatCapacityRatio(gas) - 1) * rho * gas->cv * T; 293 const CeedScalar u_base = 40; 294 const CeedScalar u[3] = {u_base, u_base * 1.1, u_base * 1.2}; 295 const CeedScalar Y0_left[5] = {p, u[0], u[1], u[2], T}; 296 const CeedScalar Y0_right[5] = {1.2 * p, 1.2 * u[0], 1.2 * u[1], 1.2 * u[2], 1.2 * T}; 297 CeedScalar normal[3] = {1, 2, 3}; 298 299 PetscFunctionBeginUser; 300 State left0 = StateFromY(gas, Y0_left); 301 State right0 = StateFromY(gas, Y0_right); 302 ScaleN(normal, 1 / Norm3(normal), 3); 303 CeedScalar u_left0 = Dot3(left0.Y.velocity, normal); 304 CeedScalar u_right0 = Dot3(right0.Y.velocity, normal); 305 306 for (int i = 0; i < 10; i++) { 307 CeedScalar ds_left, ds_right, ds_left_fd, ds_right_fd; 308 { // Calculate ds_{left,right} using *_fwd function 309 CeedScalar dY_right[5] = {0}; 310 CeedScalar dY_left[5] = {0}; 311 312 if (i < 5) { 313 dY_left[i] = Y0_left[i]; 314 } else { 315 dY_right[i % 5] = Y0_right[i % 5]; 316 } 317 State dleft0 = StateFromY_fwd(gas, left0, dY_left); 318 State dright0 = StateFromY_fwd(gas, right0, dY_right); 319 CeedScalar du_left = Dot3(dleft0.Y.velocity, normal); 320 CeedScalar du_right = Dot3(dright0.Y.velocity, normal); 321 322 CeedScalar s_left, s_right; // Throw away 323 ComputeHLLSpeeds_Roe_fwd(gas, left0, dleft0, u_left0, du_left, right0, dright0, u_right0, du_right, &s_left, &ds_left, &s_right, &ds_right); 324 } 325 326 { // Calculate ds_{left,right}_fd via finite difference approximation 327 CeedScalar Y1_left[5] = {Y0_left[0], Y0_left[1], Y0_left[2], Y0_left[3], Y0_left[4]}; 328 CeedScalar Y1_right[5] = {Y0_right[0], Y0_right[1], Y0_right[2], Y0_right[3], Y0_right[4]}; 329 330 if (i < 5) { 331 Y1_left[i] *= 1 + eps; 332 } else { 333 Y1_right[i % 5] *= 1 + eps; 334 } 335 State left1 = StateFromY(gas, Y1_left); 336 State right1 = StateFromY(gas, Y1_right); 337 CeedScalar u_left1 = Dot3(left1.Y.velocity, normal); 338 CeedScalar u_right1 = Dot3(right1.Y.velocity, normal); 339 340 CeedScalar s_left0, s_right0, s_left1, s_right1; 341 ComputeHLLSpeeds_Roe(gas, left0, u_left0, right0, u_right0, &s_left0, &s_right0); 342 ComputeHLLSpeeds_Roe(gas, left1, u_left1, right1, u_right1, &s_left1, &s_right1); 343 ds_left_fd = (s_left1 - s_left0) / eps; 344 ds_right_fd = (s_right1 - s_right0) / eps; 345 } 346 347 snprintf(buf, sizeof buf, "ComputeHLLSpeeds_Roe i=%d:", i); 348 { 349 CeedScalar divisor_threshold = 10 * CEED_EPSILON; 350 CeedScalar ds_left_err, ds_right_err; 351 352 ds_left_err = RelativeError(ds_left_fd, ds_left, ds_left_fd, divisor_threshold); 353 ds_right_err = RelativeError(ds_right_fd, ds_right, ds_right_fd, divisor_threshold); 354 if (fabs(ds_left_err) >= rtol) printf("%s ds_left error %g (expected %.10e, got %.10e)\n", buf, ds_left_err, ds_left_fd, ds_left); 355 if (fabs(ds_right_err) >= rtol) printf("%s ds_right error %g (expected %.10e, got %.10e)\n", buf, ds_right_err, ds_right_fd, ds_right); 356 } 357 } 358 PetscFunctionReturn(PETSC_SUCCESS); 359 } 360 361 // @brief Verify TotalSpecificEnthalpy_fwd function against finite-difference approximation 362 static PetscErrorCode TestTotalSpecificEnthalpy_fwd(NewtonianIdealGasContext gas, CeedScalar rtol) { 363 CeedScalar eps = 4e-7; // Finite difference step 364 char buf[128]; 365 const CeedScalar T = 200; 366 const CeedScalar rho = 1.2; 367 const CeedScalar p = (HeatCapacityRatio(gas) - 1) * rho * gas->cv * T; 368 const CeedScalar u_base = 40; 369 const CeedScalar u[3] = {u_base, u_base * 1.1, u_base * 1.2}; 370 const CeedScalar Y0[5] = {p, u[0], u[1], u[2], T}; 371 372 PetscFunctionBeginUser; 373 State state0 = StateFromY(gas, Y0); 374 375 for (int i = 0; i < 5; i++) { 376 CeedScalar dH, dH_fd; 377 { // Calculate dH using *_fwd function 378 CeedScalar dY[5] = {0}; 379 380 dY[i] = Y0[i]; 381 State dstate0 = StateFromY_fwd(gas, state0, dY); 382 dH = TotalSpecificEnthalpy_fwd(gas, state0, dstate0); 383 } 384 385 { // Calculate dH_fd via finite difference approximation 386 CeedScalar H0, H1; 387 CeedScalar Y1[5] = {Y0[0], Y0[1], Y0[2], Y0[3], Y0[4]}; 388 Y1[i] *= 1 + eps; 389 State state1 = StateFromY(gas, Y1); 390 391 H0 = TotalSpecificEnthalpy(gas, state0); 392 H1 = TotalSpecificEnthalpy(gas, state1); 393 dH_fd = (H1 - H0) / eps; 394 } 395 396 snprintf(buf, sizeof buf, "TotalSpecificEnthalpy i=%d:", i); 397 { 398 CeedScalar divisor_threshold = 10 * CEED_EPSILON; 399 CeedScalar dH_err; 400 401 dH_err = RelativeError(dH_fd, dH, dH_fd, divisor_threshold); 402 if (fabs(dH_err) >= rtol) printf("%s dH error %g (expected %.10e, got %.10e)\n", buf, dH_err, dH_fd, dH); 403 } 404 } 405 PetscFunctionReturn(PETSC_SUCCESS); 406 } 407 408 // @brief Verify RoeSetup_fwd function against finite-difference approximation 409 static PetscErrorCode TestRowSetup_fwd(NewtonianIdealGasContext gas, CeedScalar rtol) { 410 CeedScalar eps = 4e-7; // Finite difference step 411 char buf[128]; 412 const CeedScalar rho0[2] = {1.2, 1.4}; 413 414 PetscFunctionBeginUser; 415 for (int i = 0; i < 2; i++) { 416 RoeWeights dR, dR_fd; 417 { // Calculate using *_fwd function 418 CeedScalar drho[5] = {0}; 419 420 drho[i] = rho0[i]; 421 dR = RoeSetup_fwd(rho0[0], rho0[1], drho[0], drho[1]); 422 } 423 424 { // Calculate via finite difference approximation 425 RoeWeights R0, R1; 426 CeedScalar rho1[5] = {rho0[0], rho0[1]}; 427 rho1[i] *= 1 + eps; 428 429 R0 = RoeSetup(rho0[0], rho0[1]); 430 R1 = RoeSetup(rho1[0], rho1[1]); 431 dR_fd.left = (R1.left - R0.left) / eps; 432 dR_fd.right = (R1.right - R0.right) / eps; 433 } 434 435 snprintf(buf, sizeof buf, "RoeSetup i=%d:", i); 436 { 437 CeedScalar divisor_threshold = 10 * CEED_EPSILON; 438 RoeWeights dR_err; 439 440 dR_err.left = RelativeError(dR_fd.left, dR.left, dR_fd.left, divisor_threshold); 441 dR_err.right = RelativeError(dR_fd.right, dR.right, dR_fd.right, divisor_threshold); 442 if (fabs(dR_err.left) >= rtol) printf("%s dR.left error %g (expected %.10e, got %.10e)\n", buf, dR_err.left, dR_fd.left, dR.left); 443 if (fabs(dR_err.right) >= rtol) printf("%s dR.right error %g (expected %.10e, got %.10e)\n", buf, dR_err.right, dR_fd.right, dR.right); 444 } 445 } 446 PetscFunctionReturn(PETSC_SUCCESS); 447 } 448 449 // @brief Test Riemann solver related `*_fwd` functions via finite-difference approximation 450 static PetscErrorCode RiemannSolverUnitTests(NewtonianIdealGasContext gas, CeedScalar rtol) { 451 PetscFunctionBeginUser; 452 PetscCall(TestRiemannHLL_fwd(gas, rtol, rtol, rtol)); 453 PetscCall(TestRiemannHLLC_fwd(gas, rtol, rtol, rtol)); 454 PetscCall(TestComputeHLLSpeeds_Roe_fwd(gas, rtol)); 455 PetscCall(TestTotalSpecificEnthalpy_fwd(gas, rtol)); 456 PetscCall(TestRowSetup_fwd(gas, rtol)); 457 PetscFunctionReturn(PETSC_SUCCESS); 458 } 459