1 // SPDX-FileCopyrightText: Copyright (c) 2017-2024, HONEE contributors. 2 // SPDX-License-Identifier: Apache-2.0 OR BSD-2-Clause 3 4 /// @file 5 /// Implementation of the Synthetic Turbulence Generation (STG) algorithm 6 /// presented in Shur et al. 2014 7 // 8 /// SetupSTG_Rand reads in the input files and fills in STGShur14Context. 9 /// Then STGShur14_CalcQF is run over quadrature points. 10 /// Before the program exits, TearDownSTG is run to free the memory of the allocated arrays. 11 #include <ceed/types.h> 12 #ifndef CEED_RUNNING_JIT_PASS 13 #include <math.h> 14 #endif 15 16 #include "newtonian_state.h" 17 #include "setupgeo_helpers.h" 18 #include "stg_shur14_type.h" 19 #include "utils.h" 20 21 #define STG_NMODES_MAX 1024 22 23 /* 24 * @brief Interpolate quantities from input profile to given location 25 * 26 * Assumed that prof_wd[i+1] > prof_wd[i] and prof_wd[0] = 0 27 * If wall_dist > prof_wd[-1], then the interpolation takes the values at prof_wd[-1] 28 * 29 * @param[in] wall_dist Distance to the nearest wall 30 * @param[out] ubar Mean velocity at wall_dist 31 * @param[out] cij Cholesky decomposition at wall_dist 32 * @param[out] eps Turbulent dissipation at wall_dist 33 * @param[out] lt Turbulent length scale at wall_dist 34 * @param[in] stg_ctx STGShur14Context for the problem 35 */ 36 CEED_QFUNCTION_HELPER void InterpolateProfile(const CeedScalar wall_dist, CeedScalar ubar[3], CeedScalar cij[6], CeedScalar *eps, CeedScalar *lt, 37 const StgShur14Context stg_ctx) { 38 const CeedInt nprofs = stg_ctx->nprofs; 39 const CeedScalar *prof_wd = &stg_ctx->data[stg_ctx->offsets.wall_dist]; 40 const CeedScalar *prof_eps = &stg_ctx->data[stg_ctx->offsets.eps]; 41 const CeedScalar *prof_lt = &stg_ctx->data[stg_ctx->offsets.lt]; 42 const CeedScalar *prof_ubar = &stg_ctx->data[stg_ctx->offsets.ubar]; 43 const CeedScalar *prof_cij = &stg_ctx->data[stg_ctx->offsets.cij]; 44 CeedInt idx = -1; 45 46 for (CeedInt i = 0; i < nprofs; i++) { 47 if (wall_dist < prof_wd[i]) { 48 idx = i; 49 break; 50 } 51 } 52 53 if (idx > 0) { // y within the bounds of prof_wd 54 CeedScalar coeff = (wall_dist - prof_wd[idx - 1]) / (prof_wd[idx] - prof_wd[idx - 1]); 55 56 ubar[0] = prof_ubar[0 * nprofs + idx - 1] + coeff * (prof_ubar[0 * nprofs + idx] - prof_ubar[0 * nprofs + idx - 1]); 57 ubar[1] = prof_ubar[1 * nprofs + idx - 1] + coeff * (prof_ubar[1 * nprofs + idx] - prof_ubar[1 * nprofs + idx - 1]); 58 ubar[2] = prof_ubar[2 * nprofs + idx - 1] + coeff * (prof_ubar[2 * nprofs + idx] - prof_ubar[2 * nprofs + idx - 1]); 59 cij[0] = prof_cij[0 * nprofs + idx - 1] + coeff * (prof_cij[0 * nprofs + idx] - prof_cij[0 * nprofs + idx - 1]); 60 cij[1] = prof_cij[1 * nprofs + idx - 1] + coeff * (prof_cij[1 * nprofs + idx] - prof_cij[1 * nprofs + idx - 1]); 61 cij[2] = prof_cij[2 * nprofs + idx - 1] + coeff * (prof_cij[2 * nprofs + idx] - prof_cij[2 * nprofs + idx - 1]); 62 cij[3] = prof_cij[3 * nprofs + idx - 1] + coeff * (prof_cij[3 * nprofs + idx] - prof_cij[3 * nprofs + idx - 1]); 63 cij[4] = prof_cij[4 * nprofs + idx - 1] + coeff * (prof_cij[4 * nprofs + idx] - prof_cij[4 * nprofs + idx - 1]); 64 cij[5] = prof_cij[5 * nprofs + idx - 1] + coeff * (prof_cij[5 * nprofs + idx] - prof_cij[5 * nprofs + idx - 1]); 65 *eps = prof_eps[idx - 1] + coeff * (prof_eps[idx] - prof_eps[idx - 1]); 66 *lt = prof_lt[idx - 1] + coeff * (prof_lt[idx] - prof_lt[idx - 1]); 67 } else { // y outside bounds of prof_wd 68 ubar[0] = prof_ubar[1 * nprofs - 1]; 69 ubar[1] = prof_ubar[2 * nprofs - 1]; 70 ubar[2] = prof_ubar[3 * nprofs - 1]; 71 cij[0] = prof_cij[1 * nprofs - 1]; 72 cij[1] = prof_cij[2 * nprofs - 1]; 73 cij[2] = prof_cij[3 * nprofs - 1]; 74 cij[3] = prof_cij[4 * nprofs - 1]; 75 cij[4] = prof_cij[5 * nprofs - 1]; 76 cij[5] = prof_cij[6 * nprofs - 1]; 77 *eps = prof_eps[nprofs - 1]; 78 *lt = prof_lt[nprofs - 1]; 79 } 80 } 81 82 /* 83 * @brief Calculate spectrum coefficient, qn 84 * 85 * Calculates q_n at a given distance to the wall 86 * 87 * @param[in] kappa nth wavenumber 88 * @param[in] dkappa Difference between wavenumbers 89 * @param[in] keta Dissipation wavenumber 90 * @param[in] kcut Mesh-induced cutoff wavenumber 91 * @param[in] ke Energy-containing wavenumber 92 * @param[in] Ektot_inv Inverse of total turbulent kinetic energy of spectrum 93 * @returns qn Spectrum coefficient 94 */ 95 CEED_QFUNCTION_HELPER CeedScalar Calc_qn(const CeedScalar kappa, const CeedScalar dkappa, const CeedScalar keta, const CeedScalar kcut, 96 const CeedScalar ke, const CeedScalar Ektot_inv) { 97 const CeedScalar feta_x_fcut = exp(-Square(12 * kappa / keta) - Cube(4 * Max(kappa - 0.9 * kcut, 0) / kcut)); 98 return pow(kappa / ke, 4.) * pow(1 + 2.4 * Square(kappa / ke), -17. / 6) * feta_x_fcut * dkappa * Ektot_inv; 99 } 100 101 // Calculate hmax, ke, keta, and kcut 102 CEED_QFUNCTION_HELPER void SpectrumConstants(const CeedScalar wall_dist, const CeedScalar eps, const CeedScalar lt, const CeedScalar hNodSep[3], 103 const CeedScalar nu, CeedScalar *hmax, CeedScalar *ke, CeedScalar *keta, CeedScalar *kcut) { 104 *hmax = Max(Max(hNodSep[0], hNodSep[1]), hNodSep[2]); 105 *ke = wall_dist == 0 ? 1e16 : 2 * M_PI / Min(2 * wall_dist, 3 * lt); 106 *keta = 2 * M_PI * pow(Cube(nu) / eps, -0.25); 107 *kcut = M_PI / Min(Max(Max(hNodSep[1], hNodSep[2]), 0.3 * (*hmax)) + 0.1 * wall_dist, *hmax); 108 } 109 110 /* 111 * @brief Calculate spectrum coefficients for STG 112 * 113 * Calculates q_n at a given distance to the wall 114 * 115 * @param[in] wall_dist Distance to the nearest wall 116 * @param[in] eps Turbulent dissipation w/rt wall_dist 117 * @param[in] lt Turbulent length scale w/rt wall_dist 118 * @param[in] h_node_sep Element lengths in coordinate directions 119 * @param[in] nu Dynamic Viscosity; 120 * @param[in] stg_ctx STGShur14Context for the problem 121 * @param[out] qn Spectrum coefficients, [nmodes] 122 */ 123 CEED_QFUNCTION_HELPER void CalcSpectrum(const CeedScalar wall_dist, const CeedScalar eps, const CeedScalar lt, const CeedScalar h_node_sep[3], 124 const CeedScalar nu, CeedScalar qn[], const StgShur14Context stg_ctx) { 125 const CeedInt nmodes = stg_ctx->nmodes; 126 const CeedScalar *kappa = &stg_ctx->data[stg_ctx->offsets.kappa]; 127 CeedScalar hmax, ke, keta, kcut, Ektot = 0.0; 128 129 SpectrumConstants(wall_dist, eps, lt, h_node_sep, nu, &hmax, &ke, &keta, &kcut); 130 131 for (CeedInt n = 0; n < nmodes; n++) { 132 const CeedScalar dkappa = n == 0 ? kappa[0] : kappa[n] - kappa[n - 1]; 133 qn[n] = Calc_qn(kappa[n], dkappa, keta, kcut, ke, 1.0); 134 Ektot += qn[n]; 135 } 136 137 if (Ektot == 0) return; 138 for (CeedInt n = 0; n < nmodes; n++) qn[n] /= Ektot; 139 } 140 141 /****************************************************** 142 * @brief Calculate u(x,t) for STG inflow condition 143 * 144 * @param[in] X Location to evaluate u(X,t) 145 * @param[in] t Time to evaluate u(X,t) 146 * @param[in] ubar Mean velocity at X 147 * @param[in] cij Cholesky decomposition at X 148 * @param[in] qn Wavemode amplitudes at X, [nmodes] 149 * @param[out] u Velocity at X and t 150 * @param[in] stg_ctx STGShur14Context for the problem 151 */ 152 CEED_QFUNCTION_HELPER void StgShur14Calc(const CeedScalar X[3], const CeedScalar t, const CeedScalar ubar[3], const CeedScalar cij[6], 153 const CeedScalar qn[], CeedScalar u[3], const StgShur14Context stg_ctx) { 154 const CeedInt nmodes = stg_ctx->nmodes; 155 const CeedScalar *kappa = &stg_ctx->data[stg_ctx->offsets.kappa]; 156 const CeedScalar *phi = &stg_ctx->data[stg_ctx->offsets.phi]; 157 const CeedScalar *sigma = &stg_ctx->data[stg_ctx->offsets.sigma]; 158 const CeedScalar *d = &stg_ctx->data[stg_ctx->offsets.d]; 159 CeedScalar xdotd, vp[3] = {0.}; 160 CeedScalar xhat[] = {0., X[1], X[2]}; 161 162 CeedPragmaSIMD for (CeedInt n = 0; n < nmodes; n++) { 163 xhat[0] = (X[0] - stg_ctx->u0 * t) * Max(2 * kappa[0] / kappa[n], 0.1); 164 xdotd = 0.; 165 for (CeedInt i = 0; i < 3; i++) xdotd += d[i * nmodes + n] * xhat[i]; 166 const CeedScalar cos_kxdp = cos(kappa[n] * xdotd + phi[n]); 167 vp[0] += sqrt(qn[n]) * sigma[0 * nmodes + n] * cos_kxdp; 168 vp[1] += sqrt(qn[n]) * sigma[1 * nmodes + n] * cos_kxdp; 169 vp[2] += sqrt(qn[n]) * sigma[2 * nmodes + n] * cos_kxdp; 170 } 171 for (CeedInt i = 0; i < 3; i++) vp[i] *= 2 * sqrt(1.5); 172 173 u[0] = ubar[0] + cij[0] * vp[0]; 174 u[1] = ubar[1] + cij[3] * vp[0] + cij[1] * vp[1]; 175 u[2] = ubar[2] + cij[4] * vp[0] + cij[5] * vp[1] + cij[2] * vp[2]; 176 } 177 178 /****************************************************** 179 * @brief Calculate u(x,t) for STG inflow condition 180 * 181 * @param[in] X Location to evaluate u(X,t) 182 * @param[in] t Time to evaluate u(X,t) 183 * @param[in] ubar Mean velocity at X 184 * @param[in] cij Cholesky decomposition at X 185 * @param[in] Ektot Total spectrum energy at this location 186 * @param[in] h_node_sep Element size in 3 directions 187 * @param[in] wall_dist Distance to closest wall 188 * @param[in] eps Turbulent dissipation 189 * @param[in] lt Turbulent length scale 190 * @param[out] u Velocity at X and t 191 * @param[in] stg_ctx STGShur14Context for the problem 192 */ 193 CEED_QFUNCTION_HELPER void StgShur14Calc_PrecompEktot(const CeedScalar X[3], const CeedScalar t, const CeedScalar ubar[3], const CeedScalar cij[6], 194 const CeedScalar Ektot, const CeedScalar h_node_sep[3], const CeedScalar wall_dist, 195 const CeedScalar eps, const CeedScalar lt, const CeedScalar nu, CeedScalar u[3], 196 const StgShur14Context stg_ctx) { 197 const CeedInt nmodes = stg_ctx->nmodes; 198 const CeedScalar *kappa = &stg_ctx->data[stg_ctx->offsets.kappa]; 199 const CeedScalar *phi = &stg_ctx->data[stg_ctx->offsets.phi]; 200 const CeedScalar *sigma = &stg_ctx->data[stg_ctx->offsets.sigma]; 201 const CeedScalar *d = &stg_ctx->data[stg_ctx->offsets.d]; 202 CeedScalar hmax, ke, keta, kcut; 203 SpectrumConstants(wall_dist, eps, lt, h_node_sep, nu, &hmax, &ke, &keta, &kcut); 204 CeedScalar xdotd, vp[3] = {0.}; 205 CeedScalar xhat[] = {0., X[1], X[2]}; 206 207 CeedPragmaSIMD for (CeedInt n = 0; n < nmodes; n++) { 208 xhat[0] = (X[0] - stg_ctx->u0 * t) * Max(2 * kappa[0] / kappa[n], 0.1); 209 xdotd = 0.; 210 for (CeedInt i = 0; i < 3; i++) xdotd += d[i * nmodes + n] * xhat[i]; 211 const CeedScalar cos_kxdp = cos(kappa[n] * xdotd + phi[n]); 212 const CeedScalar dkappa = n == 0 ? kappa[0] : kappa[n] - kappa[n - 1]; 213 const CeedScalar qn = Calc_qn(kappa[n], dkappa, keta, kcut, ke, Ektot); 214 vp[0] += sqrt(qn) * sigma[0 * nmodes + n] * cos_kxdp; 215 vp[1] += sqrt(qn) * sigma[1 * nmodes + n] * cos_kxdp; 216 vp[2] += sqrt(qn) * sigma[2 * nmodes + n] * cos_kxdp; 217 } 218 for (CeedInt i = 0; i < 3; i++) vp[i] *= 2 * sqrt(1.5); 219 220 u[0] = ubar[0] + cij[0] * vp[0]; 221 u[1] = ubar[1] + cij[3] * vp[0] + cij[1] * vp[1]; 222 u[2] = ubar[2] + cij[4] * vp[0] + cij[5] * vp[1] + cij[2] * vp[2]; 223 } 224 225 /** 226 @brief Calculate the element length scales based on dXdx 227 228 WARNING: This assumes the reference domain is [-1,1], which is not true for tetrahedral elements 229 230 @param[in] dXdx Inverse mapping Jacobian, d\xi/dx 231 @param[in] scale Scale factor for the element lengths 232 @param[out] lengths The element lengths in each cartesian direction 233 **/ 234 CEED_QFUNCTION_HELPER void CalculateElementLengths(CeedScalar dXdx[3][3], CeedScalar scale, CeedScalar lengths[3]) { 235 for (CeedInt j = 0; j < 3; j++) lengths[j] = 2 / sqrt(Square(dXdx[0][j]) + Square(dXdx[1][j]) + Square(dXdx[2][j])); 236 ScaleN(lengths, scale, 3); 237 } 238 239 // Create preprocessed input for the stg calculation 240 // 241 // stg_data[0] = 1 / Ektot (inverse of total spectrum energy) 242 CEED_QFUNCTION(StgShur14Preprocess)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 243 const CeedScalar *dXdx_q = in[0]; 244 const CeedScalar(*x)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[1]; 245 246 CeedScalar(*stg_data) = (CeedScalar(*))out[0]; 247 248 CeedScalar ubar[3], cij[6], eps, lt; 249 const StgShur14Context stg_ctx = (StgShur14Context)ctx; 250 const CeedScalar mu = stg_ctx->newt_ctx.gas.mu; 251 const CeedScalar theta0 = stg_ctx->theta0; 252 const CeedScalar P0 = stg_ctx->P0; 253 const CeedScalar Rd = GasConstant(stg_ctx->newt_ctx.gas); 254 const CeedScalar rho = P0 / (Rd * theta0); 255 const CeedScalar nu = mu / rho; 256 257 const CeedInt nmodes = stg_ctx->nmodes; 258 const CeedScalar *kappa = &stg_ctx->data[stg_ctx->offsets.kappa]; 259 CeedScalar hmax, ke, keta, kcut; 260 261 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 262 const CeedScalar wall_dist = x[1][i]; 263 CeedScalar dXdx[3][3], h_node_sep[3]; 264 StoredValuesUnpack(Q, i, 0, 9, dXdx_q, (CeedScalar *)dXdx); 265 266 CalculateElementLengths(dXdx, stg_ctx->h_scale_factor, h_node_sep); 267 InterpolateProfile(wall_dist, ubar, cij, &eps, <, stg_ctx); 268 SpectrumConstants(wall_dist, eps, lt, h_node_sep, nu, &hmax, &ke, &keta, &kcut); 269 270 // Calculate total TKE per spectrum 271 CeedScalar Ek_tot = 0; 272 CeedPragmaSIMD for (CeedInt n = 0; n < nmodes; n++) { 273 const CeedScalar dkappa = n == 0 ? kappa[0] : kappa[n] - kappa[n - 1]; 274 Ek_tot += Calc_qn(kappa[n], dkappa, keta, kcut, ke, 1.0); 275 } 276 // avoid underflowed and poorly defined spectrum coefficients 277 stg_data[i] = Ek_tot != 0 ? 1 / Ek_tot : 0; 278 } 279 return 0; 280 } 281 282 // Extrude the STGInflow profile through out the domain for an initial condition 283 CEED_QFUNCTION(ICsStg)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 284 const CeedScalar(*x)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 285 const CeedScalar(*J)[3][CEED_Q_VLA] = (const CeedScalar(*)[3][CEED_Q_VLA])in[1]; 286 CeedScalar(*q0)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 287 288 const StgShur14Context stg_ctx = (StgShur14Context)ctx; 289 const NewtonianIdealGasContext context = &stg_ctx->newt_ctx; 290 const NewtonianIGProperties gas = context->gas; 291 CeedScalar qn[STG_NMODES_MAX], u[3], ubar[3], cij[6], eps, lt; 292 const CeedScalar dx = stg_ctx->dx; 293 const CeedScalar time = stg_ctx->time; 294 const CeedScalar theta0 = stg_ctx->theta0; 295 const CeedScalar P0 = stg_ctx->P0; 296 const CeedScalar rho = P0 / (GasConstant(gas) * theta0); 297 const CeedScalar nu = gas.mu / rho; 298 299 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 300 const CeedScalar x_i[3] = {x[0][i], x[1][i], x[2][i]}; 301 CeedScalar dXdx[3][3]; 302 CeedScalar h_node_sep[3]; 303 304 InvertMappingJacobian_3D(Q, i, J, dXdx, NULL); 305 CalculateElementLengths(dXdx, stg_ctx->h_scale_factor, h_node_sep); 306 h_node_sep[0] = dx * stg_ctx->h_scale_factor; 307 308 InterpolateProfile(x_i[1], ubar, cij, &eps, <, stg_ctx); 309 if (stg_ctx->use_fluctuating_IC) { 310 CalcSpectrum(x_i[1], eps, lt, h_node_sep, nu, qn, stg_ctx); 311 StgShur14Calc(x_i, time, ubar, cij, qn, u, stg_ctx); 312 } else { 313 for (CeedInt j = 0; j < 3; j++) u[j] = ubar[j]; 314 } 315 316 CeedScalar Y[5] = {P0, u[0], u[1], u[2], theta0}, q[5]; 317 State s = StateFromY(gas, Y); 318 StateToQ(gas, s, q, context->state_var); 319 for (CeedInt j = 0; j < 5; j++) { 320 q0[j][i] = q[j]; 321 } 322 } 323 return 0; 324 } 325 326 /******************************************************************** 327 * @brief QFunction to calculate the inflow boundary condition 328 * 329 * This will loop through quadrature points, calculate the wavemode amplitudes 330 * at each location, then calculate the actual velocity. 331 */ 332 CEED_QFUNCTION(StgShur14Inflow)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 333 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 334 const CeedScalar(*q_data_sur) = in[2]; 335 const CeedScalar(*X)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[3]; 336 337 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 338 CeedScalar(*jac_data_sur) = out[1]; 339 340 const StgShur14Context stg_ctx = (StgShur14Context)ctx; 341 const NewtonianIGProperties gas = stg_ctx->newt_ctx.gas; 342 CeedScalar qn[STG_NMODES_MAX], u[3], ubar[3], cij[6], eps, lt; 343 const bool is_implicit = stg_ctx->is_implicit; 344 const bool mean_only = stg_ctx->mean_only; 345 const bool prescribe_T = stg_ctx->prescribe_T; 346 const CeedScalar dx = stg_ctx->dx; 347 const CeedScalar mu = gas.mu; 348 const CeedScalar time = stg_ctx->time; 349 const CeedScalar theta0 = stg_ctx->theta0; 350 const CeedScalar P0 = stg_ctx->P0; 351 const CeedScalar cv = gas.cv; 352 const CeedScalar Rd = GasConstant(gas); 353 const CeedScalar gamma = HeatCapacityRatio(gas); 354 355 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 356 const CeedScalar rho = prescribe_T ? q[0][i] : P0 / (Rd * theta0); 357 const CeedScalar x[] = {X[0][i], X[1][i], X[2][i]}; 358 CeedScalar wdetJb, dXdx[2][3], normal[3]; 359 QdataBoundaryUnpack_3D(Q, i, q_data_sur, &wdetJb, dXdx, normal); 360 wdetJb *= is_implicit ? -1. : 1.; 361 362 CeedScalar h_node_sep[3]; 363 h_node_sep[0] = dx; 364 for (CeedInt j = 1; j < 3; j++) h_node_sep[j] = 2 / sqrt(Square(dXdx[0][j]) + Square(dXdx[1][j])); 365 ScaleN(h_node_sep, stg_ctx->h_scale_factor, 3); 366 367 InterpolateProfile(X[1][i], ubar, cij, &eps, <, stg_ctx); 368 if (!mean_only) { 369 CalcSpectrum(X[1][i], eps, lt, h_node_sep, mu / rho, qn, stg_ctx); 370 StgShur14Calc(x, time, ubar, cij, qn, u, stg_ctx); 371 } else { 372 for (CeedInt j = 0; j < 3; j++) u[j] = ubar[j]; 373 } 374 375 const CeedScalar E_kinetic = .5 * rho * Dot3(u, u); 376 CeedScalar E_internal, P; 377 if (prescribe_T) { 378 // Temperature is being set weakly (theta0) and for constant cv this sets E_internal 379 E_internal = rho * cv * theta0; 380 // Find pressure using 381 P = rho * Rd * theta0; // interior rho with exterior T 382 } else { 383 E_internal = q[4][i] - E_kinetic; // uses prescribed rho and u, E from solution 384 P = E_internal * (gamma - 1.); 385 } 386 387 const CeedScalar E = E_internal + E_kinetic; 388 389 // Velocity normal to the boundary 390 const CeedScalar u_normal = Dot3(normal, u); 391 392 // The Physics 393 // Zero v so all future terms can safely sum into it 394 for (CeedInt j = 0; j < 5; j++) v[j][i] = 0.; 395 396 // The Physics 397 // -- Density 398 v[0][i] -= wdetJb * rho * u_normal; 399 400 // -- Momentum 401 for (CeedInt j = 0; j < 3; j++) v[j + 1][i] -= wdetJb * (rho * u_normal * u[j] + normal[j] * P); 402 403 // -- Total Energy Density 404 v[4][i] -= wdetJb * u_normal * (E + P); 405 406 const CeedScalar U[] = {rho, u[0], u[1], u[2], E}, kmstress[6] = {0.}; 407 StoredValuesPack(Q, i, 0, 5, U, jac_data_sur); 408 StoredValuesPack(Q, i, 5, 6, kmstress, jac_data_sur); 409 } 410 return 0; 411 } 412 413 CEED_QFUNCTION(StgShur14Inflow_Jacobian)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 414 const CeedScalar(*dq)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 415 const CeedScalar(*q_data_sur)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[2]; 416 const CeedScalar(*jac_data_sur)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[4]; 417 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 418 419 const StgShur14Context stg_ctx = (StgShur14Context)ctx; 420 const NewtonianIGProperties gas = stg_ctx->newt_ctx.gas; 421 const bool implicit = stg_ctx->is_implicit; 422 const CeedScalar cv = gas.cv; 423 const CeedScalar Rd = GasConstant(gas); 424 const CeedScalar gamma = HeatCapacityRatio(gas); 425 426 const CeedScalar theta0 = stg_ctx->theta0; 427 const bool prescribe_T = stg_ctx->prescribe_T; 428 429 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 430 // Setup 431 // -- Interp-to-Interp q_data 432 // For explicit mode, the surface integral is on the RHS of ODE q_dot = f(q). 433 // For implicit mode, it gets pulled to the LHS of implicit ODE/DAE g(q_dot, q). 434 // We can effect this by swapping the sign on this weight 435 const CeedScalar wdetJb = (implicit ? -1. : 1.) * q_data_sur[0][i]; 436 437 // Calculate inflow values 438 CeedScalar velocity[3]; 439 for (CeedInt j = 0; j < 3; j++) velocity[j] = jac_data_sur[5 + j][i]; 440 // TODO This is almost certainly a bug. Velocity isn't stored here, only 0s. 441 442 // enabling user to choose between weak T and weak rho inflow 443 CeedScalar drho, dE, dP; 444 if (prescribe_T) { 445 // rho should be from the current solution 446 drho = dq[0][i]; 447 CeedScalar dE_internal = drho * cv * theta0; 448 CeedScalar dE_kinetic = .5 * drho * Dot3(velocity, velocity); 449 dE = dE_internal + dE_kinetic; 450 dP = drho * Rd * theta0; // interior rho with exterior T 451 } else { // rho specified, E_internal from solution 452 drho = 0; 453 dE = dq[4][i]; 454 dP = dE * (gamma - 1.); 455 } 456 const CeedScalar normal[3] = {q_data_sur[1][i], q_data_sur[2][i], q_data_sur[3][i]}; 457 458 const CeedScalar u_normal = Dot3(normal, velocity); 459 460 v[0][i] = -wdetJb * drho * u_normal; 461 for (int j = 0; j < 3; j++) v[j + 1][i] = -wdetJb * (drho * u_normal * velocity[j] + normal[j] * dP); 462 v[4][i] = -wdetJb * u_normal * (dE + dP); 463 } 464 return 0; 465 } 466 467 /******************************************************************** 468 * @brief QFunction to calculate the strongly enforce inflow BC 469 * 470 * This QF is for the strong application of STG via libCEED (rather than 471 * through the native PETSc `DMAddBoundary` -> `bcFunc` method. 472 */ 473 CEED_QFUNCTION(StgShur14InflowStrongQF)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 474 const CeedScalar *dXdx_q = in[0]; 475 const CeedScalar(*coords)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[1]; 476 const CeedScalar(*scale) = (const CeedScalar(*))in[2]; 477 const CeedScalar(*inv_Ektotal) = (const CeedScalar(*))in[3]; 478 CeedScalar(*bcval)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 479 480 const StgShur14Context stg_ctx = (StgShur14Context)ctx; 481 const NewtonianIGProperties gas = stg_ctx->newt_ctx.gas; 482 CeedScalar u[3], ubar[3], cij[6], eps, lt; 483 const bool mean_only = stg_ctx->mean_only; 484 const CeedScalar time = stg_ctx->time; 485 const CeedScalar theta0 = stg_ctx->theta0; 486 const CeedScalar P0 = stg_ctx->P0; 487 const CeedScalar rho = P0 / (GasConstant(gas) * theta0); 488 const CeedScalar nu = gas.mu / rho; 489 490 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 491 const CeedScalar x[] = {coords[0][i], coords[1][i], coords[2][i]}; 492 CeedScalar dXdx[3][3], h_node_sep[3]; 493 StoredValuesUnpack(Q, i, 0, 9, dXdx_q, (CeedScalar *)dXdx); 494 495 CalculateElementLengths(dXdx, stg_ctx->h_scale_factor, h_node_sep); 496 InterpolateProfile(coords[1][i], ubar, cij, &eps, <, stg_ctx); 497 if (!mean_only) { 498 if (1) { 499 StgShur14Calc_PrecompEktot(x, time, ubar, cij, inv_Ektotal[i], h_node_sep, x[1], eps, lt, nu, u, stg_ctx); 500 } else { // Original way 501 CeedScalar qn[STG_NMODES_MAX]; 502 CalcSpectrum(coords[1][i], eps, lt, h_node_sep, nu, qn, stg_ctx); 503 StgShur14Calc(x, time, ubar, cij, qn, u, stg_ctx); 504 } 505 } else { 506 for (CeedInt j = 0; j < 3; j++) u[j] = ubar[j]; 507 } 508 509 CeedScalar Y[5] = {P0, u[0], u[1], u[2], theta0}, q[5]; 510 State s = StateFromY(gas, Y); 511 StateToQ(gas, s, q, stg_ctx->newt_ctx.state_var); 512 switch (stg_ctx->newt_ctx.state_var) { 513 case STATEVAR_CONSERVATIVE: 514 q[4] = 0.; // Don't set energy 515 break; 516 case STATEVAR_PRIMITIVE: 517 q[0] = 0; // Don't set pressure 518 break; 519 case STATEVAR_ENTROPY: 520 q[0] = 0; // Don't set V_density 521 break; 522 } 523 for (CeedInt j = 0; j < 5; j++) { 524 bcval[j][i] = scale[i] * q[j]; 525 } 526 } 527 return 0; 528 } 529