1 // Copyright (c) 2017-2025, Lawrence Livermore National Security, LLC and other CEED contributors. 2 // All Rights Reserved. See the top-level LICENSE and NOTICE files for details. 3 // 4 // SPDX-License-Identifier: BSD-2-Clause 5 // 6 // This file is part of CEED: http://github.com/ceed 7 8 /// @file 9 /// Implementation of the Synthetic Turbulence Generation (STG) algorithm 10 /// presented in Shur et al. 2014 11 // 12 /// SetupSTG_Rand reads in the input files and fills in STGShur14Context. 13 /// Then STGShur14_CalcQF is run over quadrature points. 14 /// Before the program exits, TearDownSTG is run to free the memory of the allocated arrays. 15 #include <ceed/types.h> 16 #ifndef CEED_RUNNING_JIT_PASS 17 #include <math.h> 18 #include <stdlib.h> 19 #endif 20 21 #include "newtonian_state.h" 22 #include "setupgeo_helpers.h" 23 #include "stg_shur14_type.h" 24 #include "utils.h" 25 26 #define STG_NMODES_MAX 1024 27 28 /* 29 * @brief Interpolate quantities from input profile to given location 30 * 31 * Assumed that prof_wd[i+1] > prof_wd[i] and prof_wd[0] = 0 32 * If wall_dist > prof_wd[-1], then the interpolation takes the values at prof_wd[-1] 33 * 34 * @param[in] wall_dist Distance to the nearest wall 35 * @param[out] ubar Mean velocity at wall_dist 36 * @param[out] cij Cholesky decomposition at wall_dist 37 * @param[out] eps Turbulent dissipation at wall_dist 38 * @param[out] lt Turbulent length scale at wall_dist 39 * @param[in] stg_ctx STGShur14Context for the problem 40 */ 41 CEED_QFUNCTION_HELPER void InterpolateProfile(const CeedScalar wall_dist, CeedScalar ubar[3], CeedScalar cij[6], CeedScalar *eps, CeedScalar *lt, 42 const StgShur14Context stg_ctx) { 43 const CeedInt nprofs = stg_ctx->nprofs; 44 const CeedScalar *prof_wd = &stg_ctx->data[stg_ctx->offsets.wall_dist]; 45 const CeedScalar *prof_eps = &stg_ctx->data[stg_ctx->offsets.eps]; 46 const CeedScalar *prof_lt = &stg_ctx->data[stg_ctx->offsets.lt]; 47 const CeedScalar *prof_ubar = &stg_ctx->data[stg_ctx->offsets.ubar]; 48 const CeedScalar *prof_cij = &stg_ctx->data[stg_ctx->offsets.cij]; 49 CeedInt idx = -1; 50 51 for (CeedInt i = 0; i < nprofs; i++) { 52 if (wall_dist < prof_wd[i]) { 53 idx = i; 54 break; 55 } 56 } 57 58 if (idx > 0) { // y within the bounds of prof_wd 59 CeedScalar coeff = (wall_dist - prof_wd[idx - 1]) / (prof_wd[idx] - prof_wd[idx - 1]); 60 61 ubar[0] = prof_ubar[0 * nprofs + idx - 1] + coeff * (prof_ubar[0 * nprofs + idx] - prof_ubar[0 * nprofs + idx - 1]); 62 ubar[1] = prof_ubar[1 * nprofs + idx - 1] + coeff * (prof_ubar[1 * nprofs + idx] - prof_ubar[1 * nprofs + idx - 1]); 63 ubar[2] = prof_ubar[2 * nprofs + idx - 1] + coeff * (prof_ubar[2 * nprofs + idx] - prof_ubar[2 * nprofs + idx - 1]); 64 cij[0] = prof_cij[0 * nprofs + idx - 1] + coeff * (prof_cij[0 * nprofs + idx] - prof_cij[0 * nprofs + idx - 1]); 65 cij[1] = prof_cij[1 * nprofs + idx - 1] + coeff * (prof_cij[1 * nprofs + idx] - prof_cij[1 * nprofs + idx - 1]); 66 cij[2] = prof_cij[2 * nprofs + idx - 1] + coeff * (prof_cij[2 * nprofs + idx] - prof_cij[2 * nprofs + idx - 1]); 67 cij[3] = prof_cij[3 * nprofs + idx - 1] + coeff * (prof_cij[3 * nprofs + idx] - prof_cij[3 * nprofs + idx - 1]); 68 cij[4] = prof_cij[4 * nprofs + idx - 1] + coeff * (prof_cij[4 * nprofs + idx] - prof_cij[4 * nprofs + idx - 1]); 69 cij[5] = prof_cij[5 * nprofs + idx - 1] + coeff * (prof_cij[5 * nprofs + idx] - prof_cij[5 * nprofs + idx - 1]); 70 *eps = prof_eps[idx - 1] + coeff * (prof_eps[idx] - prof_eps[idx - 1]); 71 *lt = prof_lt[idx - 1] + coeff * (prof_lt[idx] - prof_lt[idx - 1]); 72 } else { // y outside bounds of prof_wd 73 ubar[0] = prof_ubar[1 * nprofs - 1]; 74 ubar[1] = prof_ubar[2 * nprofs - 1]; 75 ubar[2] = prof_ubar[3 * nprofs - 1]; 76 cij[0] = prof_cij[1 * nprofs - 1]; 77 cij[1] = prof_cij[2 * nprofs - 1]; 78 cij[2] = prof_cij[3 * nprofs - 1]; 79 cij[3] = prof_cij[4 * nprofs - 1]; 80 cij[4] = prof_cij[5 * nprofs - 1]; 81 cij[5] = prof_cij[6 * nprofs - 1]; 82 *eps = prof_eps[nprofs - 1]; 83 *lt = prof_lt[nprofs - 1]; 84 } 85 } 86 87 /* 88 * @brief Calculate spectrum coefficient, qn 89 * 90 * Calculates q_n at a given distance to the wall 91 * 92 * @param[in] kappa nth wavenumber 93 * @param[in] dkappa Difference between wavenumbers 94 * @param[in] keta Dissipation wavenumber 95 * @param[in] kcut Mesh-induced cutoff wavenumber 96 * @param[in] ke Energy-containing wavenumber 97 * @param[in] Ektot_inv Inverse of total turbulent kinetic energy of spectrum 98 * @returns qn Spectrum coefficient 99 */ 100 CEED_QFUNCTION_HELPER CeedScalar Calc_qn(const CeedScalar kappa, const CeedScalar dkappa, const CeedScalar keta, const CeedScalar kcut, 101 const CeedScalar ke, const CeedScalar Ektot_inv) { 102 const CeedScalar feta_x_fcut = exp(-Square(12 * kappa / keta) - Cube(4 * Max(kappa - 0.9 * kcut, 0) / kcut)); 103 return pow(kappa / ke, 4.) * pow(1 + 2.4 * Square(kappa / ke), -17. / 6) * feta_x_fcut * dkappa * Ektot_inv; 104 } 105 106 // Calculate hmax, ke, keta, and kcut 107 CEED_QFUNCTION_HELPER void SpectrumConstants(const CeedScalar wall_dist, const CeedScalar eps, const CeedScalar lt, const CeedScalar hNodSep[3], 108 const CeedScalar nu, CeedScalar *hmax, CeedScalar *ke, CeedScalar *keta, CeedScalar *kcut) { 109 *hmax = Max(Max(hNodSep[0], hNodSep[1]), hNodSep[2]); 110 *ke = wall_dist == 0 ? 1e16 : 2 * M_PI / Min(2 * wall_dist, 3 * lt); 111 *keta = 2 * M_PI * pow(Cube(nu) / eps, -0.25); 112 *kcut = M_PI / Min(Max(Max(hNodSep[1], hNodSep[2]), 0.3 * (*hmax)) + 0.1 * wall_dist, *hmax); 113 } 114 115 /* 116 * @brief Calculate spectrum coefficients for STG 117 * 118 * Calculates q_n at a given distance to the wall 119 * 120 * @param[in] wall_dist Distance to the nearest wall 121 * @param[in] eps Turbulent dissipation w/rt wall_dist 122 * @param[in] lt Turbulent length scale w/rt wall_dist 123 * @param[in] h_node_sep Element lengths in coordinate directions 124 * @param[in] nu Dynamic Viscosity; 125 * @param[in] stg_ctx STGShur14Context for the problem 126 * @param[out] qn Spectrum coefficients, [nmodes] 127 */ 128 CEED_QFUNCTION_HELPER void CalcSpectrum(const CeedScalar wall_dist, const CeedScalar eps, const CeedScalar lt, const CeedScalar h_node_sep[3], 129 const CeedScalar nu, CeedScalar qn[], const StgShur14Context stg_ctx) { 130 const CeedInt nmodes = stg_ctx->nmodes; 131 const CeedScalar *kappa = &stg_ctx->data[stg_ctx->offsets.kappa]; 132 CeedScalar hmax, ke, keta, kcut, Ektot = 0.0; 133 134 SpectrumConstants(wall_dist, eps, lt, h_node_sep, nu, &hmax, &ke, &keta, &kcut); 135 136 for (CeedInt n = 0; n < nmodes; n++) { 137 const CeedScalar dkappa = n == 0 ? kappa[0] : kappa[n] - kappa[n - 1]; 138 qn[n] = Calc_qn(kappa[n], dkappa, keta, kcut, ke, 1.0); 139 Ektot += qn[n]; 140 } 141 142 if (Ektot == 0) return; 143 for (CeedInt n = 0; n < nmodes; n++) qn[n] /= Ektot; 144 } 145 146 /****************************************************** 147 * @brief Calculate u(x,t) for STG inflow condition 148 * 149 * @param[in] X Location to evaluate u(X,t) 150 * @param[in] t Time to evaluate u(X,t) 151 * @param[in] ubar Mean velocity at X 152 * @param[in] cij Cholesky decomposition at X 153 * @param[in] qn Wavemode amplitudes at X, [nmodes] 154 * @param[out] u Velocity at X and t 155 * @param[in] stg_ctx STGShur14Context for the problem 156 */ 157 CEED_QFUNCTION_HELPER void StgShur14Calc(const CeedScalar X[3], const CeedScalar t, const CeedScalar ubar[3], const CeedScalar cij[6], 158 const CeedScalar qn[], CeedScalar u[3], const StgShur14Context stg_ctx) { 159 const CeedInt nmodes = stg_ctx->nmodes; 160 const CeedScalar *kappa = &stg_ctx->data[stg_ctx->offsets.kappa]; 161 const CeedScalar *phi = &stg_ctx->data[stg_ctx->offsets.phi]; 162 const CeedScalar *sigma = &stg_ctx->data[stg_ctx->offsets.sigma]; 163 const CeedScalar *d = &stg_ctx->data[stg_ctx->offsets.d]; 164 CeedScalar xdotd, vp[3] = {0.}; 165 CeedScalar xhat[] = {0., X[1], X[2]}; 166 167 CeedPragmaSIMD for (CeedInt n = 0; n < nmodes; n++) { 168 xhat[0] = (X[0] - stg_ctx->u0 * t) * Max(2 * kappa[0] / kappa[n], 0.1); 169 xdotd = 0.; 170 for (CeedInt i = 0; i < 3; i++) xdotd += d[i * nmodes + n] * xhat[i]; 171 const CeedScalar cos_kxdp = cos(kappa[n] * xdotd + phi[n]); 172 vp[0] += sqrt(qn[n]) * sigma[0 * nmodes + n] * cos_kxdp; 173 vp[1] += sqrt(qn[n]) * sigma[1 * nmodes + n] * cos_kxdp; 174 vp[2] += sqrt(qn[n]) * sigma[2 * nmodes + n] * cos_kxdp; 175 } 176 for (CeedInt i = 0; i < 3; i++) vp[i] *= 2 * sqrt(1.5); 177 178 u[0] = ubar[0] + cij[0] * vp[0]; 179 u[1] = ubar[1] + cij[3] * vp[0] + cij[1] * vp[1]; 180 u[2] = ubar[2] + cij[4] * vp[0] + cij[5] * vp[1] + cij[2] * vp[2]; 181 } 182 183 /****************************************************** 184 * @brief Calculate u(x,t) for STG inflow condition 185 * 186 * @param[in] X Location to evaluate u(X,t) 187 * @param[in] t Time to evaluate u(X,t) 188 * @param[in] ubar Mean velocity at X 189 * @param[in] cij Cholesky decomposition at X 190 * @param[in] Ektot Total spectrum energy at this location 191 * @param[in] h_node_sep Element size in 3 directions 192 * @param[in] wall_dist Distance to closest wall 193 * @param[in] eps Turbulent dissipation 194 * @param[in] lt Turbulent length scale 195 * @param[out] u Velocity at X and t 196 * @param[in] stg_ctx STGShur14Context for the problem 197 */ 198 CEED_QFUNCTION_HELPER void StgShur14Calc_PrecompEktot(const CeedScalar X[3], const CeedScalar t, const CeedScalar ubar[3], const CeedScalar cij[6], 199 const CeedScalar Ektot, const CeedScalar h_node_sep[3], const CeedScalar wall_dist, 200 const CeedScalar eps, const CeedScalar lt, const CeedScalar nu, CeedScalar u[3], 201 const StgShur14Context stg_ctx) { 202 const CeedInt nmodes = stg_ctx->nmodes; 203 const CeedScalar *kappa = &stg_ctx->data[stg_ctx->offsets.kappa]; 204 const CeedScalar *phi = &stg_ctx->data[stg_ctx->offsets.phi]; 205 const CeedScalar *sigma = &stg_ctx->data[stg_ctx->offsets.sigma]; 206 const CeedScalar *d = &stg_ctx->data[stg_ctx->offsets.d]; 207 CeedScalar hmax, ke, keta, kcut; 208 SpectrumConstants(wall_dist, eps, lt, h_node_sep, nu, &hmax, &ke, &keta, &kcut); 209 CeedScalar xdotd, vp[3] = {0.}; 210 CeedScalar xhat[] = {0., X[1], X[2]}; 211 212 CeedPragmaSIMD for (CeedInt n = 0; n < nmodes; n++) { 213 xhat[0] = (X[0] - stg_ctx->u0 * t) * Max(2 * kappa[0] / kappa[n], 0.1); 214 xdotd = 0.; 215 for (CeedInt i = 0; i < 3; i++) xdotd += d[i * nmodes + n] * xhat[i]; 216 const CeedScalar cos_kxdp = cos(kappa[n] * xdotd + phi[n]); 217 const CeedScalar dkappa = n == 0 ? kappa[0] : kappa[n] - kappa[n - 1]; 218 const CeedScalar qn = Calc_qn(kappa[n], dkappa, keta, kcut, ke, Ektot); 219 vp[0] += sqrt(qn) * sigma[0 * nmodes + n] * cos_kxdp; 220 vp[1] += sqrt(qn) * sigma[1 * nmodes + n] * cos_kxdp; 221 vp[2] += sqrt(qn) * sigma[2 * nmodes + n] * cos_kxdp; 222 } 223 for (CeedInt i = 0; i < 3; i++) vp[i] *= 2 * sqrt(1.5); 224 225 u[0] = ubar[0] + cij[0] * vp[0]; 226 u[1] = ubar[1] + cij[3] * vp[0] + cij[1] * vp[1]; 227 u[2] = ubar[2] + cij[4] * vp[0] + cij[5] * vp[1] + cij[2] * vp[2]; 228 } 229 230 // Create preprocessed input for the stg calculation 231 // 232 // stg_data[0] = 1 / Ektot (inverse of total spectrum energy) 233 CEED_QFUNCTION(StgShur14Preprocess)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 234 const CeedScalar(*dXdx_q)[3][CEED_Q_VLA] = (const CeedScalar(*)[3][CEED_Q_VLA])in[0]; 235 const CeedScalar(*x)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[1]; 236 237 CeedScalar(*stg_data) = (CeedScalar(*))out[0]; 238 239 CeedScalar ubar[3], cij[6], eps, lt; 240 const StgShur14Context stg_ctx = (StgShur14Context)ctx; 241 const CeedScalar dx = stg_ctx->dx; 242 const CeedScalar mu = stg_ctx->newtonian_ctx.mu; 243 const CeedScalar theta0 = stg_ctx->theta0; 244 const CeedScalar P0 = stg_ctx->P0; 245 const CeedScalar Rd = GasConstant(&stg_ctx->newtonian_ctx); 246 const CeedScalar rho = P0 / (Rd * theta0); 247 const CeedScalar nu = mu / rho; 248 249 const CeedInt nmodes = stg_ctx->nmodes; 250 const CeedScalar *kappa = &stg_ctx->data[stg_ctx->offsets.kappa]; 251 CeedScalar hmax, ke, keta, kcut; 252 253 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 254 const CeedScalar wall_dist = x[1][i]; 255 const CeedScalar dXdx[2][3] = { 256 {dXdx_q[0][0][i], dXdx_q[0][1][i], dXdx_q[0][2][i]}, 257 {dXdx_q[1][0][i], dXdx_q[1][1][i], dXdx_q[1][2][i]}, 258 }; 259 260 CeedScalar h_node_sep[3]; 261 h_node_sep[0] = dx; 262 for (CeedInt j = 1; j < 3; j++) h_node_sep[j] = 2 / sqrt(dXdx[0][j] * dXdx[0][j] + dXdx[1][j] * dXdx[1][j]); 263 ScaleN(h_node_sep, stg_ctx->h_scale_factor, 3); 264 265 InterpolateProfile(wall_dist, ubar, cij, &eps, <, stg_ctx); 266 SpectrumConstants(wall_dist, eps, lt, h_node_sep, nu, &hmax, &ke, &keta, &kcut); 267 268 // Calculate total TKE per spectrum 269 CeedScalar Ek_tot = 0; 270 CeedPragmaSIMD for (CeedInt n = 0; n < nmodes; n++) { 271 const CeedScalar dkappa = n == 0 ? kappa[0] : kappa[n] - kappa[n - 1]; 272 Ek_tot += Calc_qn(kappa[n], dkappa, keta, kcut, ke, 1.0); 273 } 274 // avoid underflowed and poorly defined spectrum coefficients 275 stg_data[i] = Ek_tot != 0 ? 1 / Ek_tot : 0; 276 } 277 return 0; 278 } 279 280 // Extrude the STGInflow profile through out the domain for an initial condition 281 CEED_QFUNCTION(ICsStg)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 282 const CeedScalar(*x)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 283 const CeedScalar(*J)[3][CEED_Q_VLA] = (const CeedScalar(*)[3][CEED_Q_VLA])in[1]; 284 CeedScalar(*q0)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 285 286 const StgShur14Context stg_ctx = (StgShur14Context)ctx; 287 const NewtonianIdealGasContext gas = &stg_ctx->newtonian_ctx; 288 CeedScalar qn[STG_NMODES_MAX], u[3], ubar[3], cij[6], eps, lt; 289 const CeedScalar dx = stg_ctx->dx; 290 const CeedScalar time = stg_ctx->time; 291 const CeedScalar theta0 = stg_ctx->theta0; 292 const CeedScalar P0 = stg_ctx->P0; 293 const CeedScalar rho = P0 / (GasConstant(gas) * theta0); 294 const CeedScalar nu = gas->mu / rho; 295 296 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 297 const CeedScalar x_i[3] = {x[0][i], x[1][i], x[2][i]}; 298 CeedScalar dXdx[3][3]; 299 InvertMappingJacobian_3D(Q, i, J, dXdx, NULL); 300 CeedScalar h_node_sep[3]; 301 h_node_sep[0] = dx; 302 for (CeedInt j = 1; j < 3; j++) h_node_sep[j] = 2 / sqrt(Square(dXdx[0][j]) + Square(dXdx[1][j]) + Square(dXdx[2][j])); 303 ScaleN(h_node_sep, stg_ctx->h_scale_factor, 3); 304 305 InterpolateProfile(x_i[1], ubar, cij, &eps, <, stg_ctx); 306 if (stg_ctx->use_fluctuating_IC) { 307 CalcSpectrum(x_i[1], eps, lt, h_node_sep, nu, qn, stg_ctx); 308 StgShur14Calc(x_i, time, ubar, cij, qn, u, stg_ctx); 309 } else { 310 for (CeedInt j = 0; j < 3; j++) u[j] = ubar[j]; 311 } 312 313 CeedScalar Y[5] = {P0, u[0], u[1], u[2], theta0}, q[5]; 314 State s = StateFromY(gas, Y); 315 StateToQ(gas, s, q, gas->state_var); 316 for (CeedInt j = 0; j < 5; j++) { 317 q0[j][i] = q[j]; 318 } 319 } 320 return 0; 321 } 322 323 /******************************************************************** 324 * @brief QFunction to calculate the inflow boundary condition 325 * 326 * This will loop through quadrature points, calculate the wavemode amplitudes 327 * at each location, then calculate the actual velocity. 328 */ 329 CEED_QFUNCTION(StgShur14Inflow)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 330 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 331 const CeedScalar(*q_data_sur) = in[2]; 332 const CeedScalar(*X)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[3]; 333 334 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 335 CeedScalar(*jac_data_sur) = out[1]; 336 337 const StgShur14Context stg_ctx = (StgShur14Context)ctx; 338 CeedScalar qn[STG_NMODES_MAX], u[3], ubar[3], cij[6], eps, lt; 339 const bool is_implicit = stg_ctx->is_implicit; 340 const bool mean_only = stg_ctx->mean_only; 341 const bool prescribe_T = stg_ctx->prescribe_T; 342 const CeedScalar dx = stg_ctx->dx; 343 const CeedScalar mu = stg_ctx->newtonian_ctx.mu; 344 const CeedScalar time = stg_ctx->time; 345 const CeedScalar theta0 = stg_ctx->theta0; 346 const CeedScalar P0 = stg_ctx->P0; 347 const CeedScalar cv = stg_ctx->newtonian_ctx.cv; 348 const CeedScalar Rd = GasConstant(&stg_ctx->newtonian_ctx); 349 const CeedScalar gamma = HeatCapacityRatio(&stg_ctx->newtonian_ctx); 350 351 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 352 const CeedScalar rho = prescribe_T ? q[0][i] : P0 / (Rd * theta0); 353 const CeedScalar x[] = {X[0][i], X[1][i], X[2][i]}; 354 CeedScalar wdetJb, dXdx[2][3], norm[3]; 355 QdataBoundaryUnpack_3D(Q, i, q_data_sur, &wdetJb, dXdx, norm); 356 wdetJb *= is_implicit ? -1. : 1.; 357 358 CeedScalar h_node_sep[3]; 359 h_node_sep[0] = dx; 360 for (CeedInt j = 1; j < 3; j++) h_node_sep[j] = 2 / sqrt(Square(dXdx[0][j]) + Square(dXdx[1][j])); 361 ScaleN(h_node_sep, stg_ctx->h_scale_factor, 3); 362 363 InterpolateProfile(X[1][i], ubar, cij, &eps, <, stg_ctx); 364 if (!mean_only) { 365 CalcSpectrum(X[1][i], eps, lt, h_node_sep, mu / rho, qn, stg_ctx); 366 StgShur14Calc(x, time, ubar, cij, qn, u, stg_ctx); 367 } else { 368 for (CeedInt j = 0; j < 3; j++) u[j] = ubar[j]; 369 } 370 371 const CeedScalar E_kinetic = .5 * rho * Dot3(u, u); 372 CeedScalar E_internal, P; 373 if (prescribe_T) { 374 // Temperature is being set weakly (theta0) and for constant cv this sets E_internal 375 E_internal = rho * cv * theta0; 376 // Find pressure using 377 P = rho * Rd * theta0; // interior rho with exterior T 378 } else { 379 E_internal = q[4][i] - E_kinetic; // uses prescribed rho and u, E from solution 380 P = E_internal * (gamma - 1.); 381 } 382 383 const CeedScalar E = E_internal + E_kinetic; 384 385 // Velocity normal to the boundary 386 const CeedScalar u_normal = Dot3(norm, u); 387 388 // The Physics 389 // Zero v so all future terms can safely sum into it 390 for (CeedInt j = 0; j < 5; j++) v[j][i] = 0.; 391 392 // The Physics 393 // -- Density 394 v[0][i] -= wdetJb * rho * u_normal; 395 396 // -- Momentum 397 for (CeedInt j = 0; j < 3; j++) v[j + 1][i] -= wdetJb * (rho * u_normal * u[j] + norm[j] * P); 398 399 // -- Total Energy Density 400 v[4][i] -= wdetJb * u_normal * (E + P); 401 402 const CeedScalar U[] = {rho, u[0], u[1], u[2], E}, kmstress[6] = {0.}; 403 StoredValuesPack(Q, i, 0, 5, U, jac_data_sur); 404 StoredValuesPack(Q, i, 5, 6, kmstress, jac_data_sur); 405 } 406 return 0; 407 } 408 409 CEED_QFUNCTION(StgShur14Inflow_Jacobian)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 410 const CeedScalar(*dq)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 411 const CeedScalar(*q_data_sur)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[2]; 412 const CeedScalar(*jac_data_sur)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[4]; 413 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 414 415 const StgShur14Context stg_ctx = (StgShur14Context)ctx; 416 const bool implicit = stg_ctx->is_implicit; 417 const CeedScalar cv = stg_ctx->newtonian_ctx.cv; 418 const CeedScalar Rd = GasConstant(&stg_ctx->newtonian_ctx); 419 const CeedScalar gamma = HeatCapacityRatio(&stg_ctx->newtonian_ctx); 420 421 const CeedScalar theta0 = stg_ctx->theta0; 422 const bool prescribe_T = stg_ctx->prescribe_T; 423 424 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 425 // Setup 426 // -- Interp-to-Interp q_data 427 // For explicit mode, the surface integral is on the RHS of ODE q_dot = f(q). 428 // For implicit mode, it gets pulled to the LHS of implicit ODE/DAE g(q_dot, q). 429 // We can effect this by swapping the sign on this weight 430 const CeedScalar wdetJb = (implicit ? -1. : 1.) * q_data_sur[0][i]; 431 432 // Calculate inflow values 433 CeedScalar velocity[3]; 434 for (CeedInt j = 0; j < 3; j++) velocity[j] = jac_data_sur[5 + j][i]; 435 // TODO This is almost certainly a bug. Velocity isn't stored here, only 0s. 436 437 // enabling user to choose between weak T and weak rho inflow 438 CeedScalar drho, dE, dP; 439 if (prescribe_T) { 440 // rho should be from the current solution 441 drho = dq[0][i]; 442 CeedScalar dE_internal = drho * cv * theta0; 443 CeedScalar dE_kinetic = .5 * drho * Dot3(velocity, velocity); 444 dE = dE_internal + dE_kinetic; 445 dP = drho * Rd * theta0; // interior rho with exterior T 446 } else { // rho specified, E_internal from solution 447 drho = 0; 448 dE = dq[4][i]; 449 dP = dE * (gamma - 1.); 450 } 451 const CeedScalar norm[3] = {q_data_sur[1][i], q_data_sur[2][i], q_data_sur[3][i]}; 452 453 const CeedScalar u_normal = Dot3(norm, velocity); 454 455 v[0][i] = -wdetJb * drho * u_normal; 456 for (int j = 0; j < 3; j++) v[j + 1][i] = -wdetJb * (drho * u_normal * velocity[j] + norm[j] * dP); 457 v[4][i] = -wdetJb * u_normal * (dE + dP); 458 } 459 return 0; 460 } 461 462 /******************************************************************** 463 * @brief QFunction to calculate the strongly enforce inflow BC 464 * 465 * This QF is for the strong application of STG via libCEED (rather than 466 * through the native PETSc `DMAddBoundary` -> `bcFunc` method. 467 */ 468 CEED_QFUNCTION(StgShur14InflowStrongQF)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 469 const CeedScalar(*dXdx_q)[3][CEED_Q_VLA] = (const CeedScalar(*)[3][CEED_Q_VLA])in[0]; 470 const CeedScalar(*coords)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[1]; 471 const CeedScalar(*scale) = (const CeedScalar(*))in[2]; 472 const CeedScalar(*inv_Ektotal) = (const CeedScalar(*))in[3]; 473 CeedScalar(*bcval)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 474 475 const StgShur14Context stg_ctx = (StgShur14Context)ctx; 476 const NewtonianIdealGasContext gas = &stg_ctx->newtonian_ctx; 477 CeedScalar u[3], ubar[3], cij[6], eps, lt; 478 const bool mean_only = stg_ctx->mean_only; 479 const CeedScalar dx = stg_ctx->dx; 480 const CeedScalar time = stg_ctx->time; 481 const CeedScalar theta0 = stg_ctx->theta0; 482 const CeedScalar P0 = stg_ctx->P0; 483 const CeedScalar rho = P0 / (GasConstant(gas) * theta0); 484 const CeedScalar nu = gas->mu / rho; 485 486 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 487 const CeedScalar x[] = {coords[0][i], coords[1][i], coords[2][i]}; 488 const CeedScalar dXdx[2][3] = { 489 {dXdx_q[0][0][i], dXdx_q[0][1][i], dXdx_q[0][2][i]}, 490 {dXdx_q[1][0][i], dXdx_q[1][1][i], dXdx_q[1][2][i]}, 491 }; 492 493 CeedScalar h_node_sep[3]; 494 h_node_sep[0] = dx; 495 for (CeedInt j = 1; j < 3; j++) h_node_sep[j] = 2 / sqrt(Square(dXdx[0][j]) + Square(dXdx[1][j])); 496 ScaleN(h_node_sep, stg_ctx->h_scale_factor, 3); 497 498 InterpolateProfile(coords[1][i], ubar, cij, &eps, <, stg_ctx); 499 if (!mean_only) { 500 if (1) { 501 StgShur14Calc_PrecompEktot(x, time, ubar, cij, inv_Ektotal[i], h_node_sep, x[1], eps, lt, nu, u, stg_ctx); 502 } else { // Original way 503 CeedScalar qn[STG_NMODES_MAX]; 504 CalcSpectrum(coords[1][i], eps, lt, h_node_sep, nu, qn, stg_ctx); 505 StgShur14Calc(x, time, ubar, cij, qn, u, stg_ctx); 506 } 507 } else { 508 for (CeedInt j = 0; j < 3; j++) u[j] = ubar[j]; 509 } 510 511 CeedScalar Y[5] = {P0, u[0], u[1], u[2], theta0}, q[5]; 512 State s = StateFromY(gas, Y); 513 StateToQ(gas, s, q, gas->state_var); 514 switch (gas->state_var) { 515 case STATEVAR_CONSERVATIVE: 516 q[4] = 0.; // Don't set energy 517 break; 518 case STATEVAR_PRIMITIVE: 519 q[0] = 0; // Don't set pressure 520 break; 521 case STATEVAR_ENTROPY: 522 q[0] = 0; // Don't set V_density 523 break; 524 } 525 for (CeedInt j = 0; j < 5; j++) { 526 bcval[j][i] = scale[i] * q[j]; 527 } 528 } 529 return 0; 530 } 531