1 // Copyright (c) 2017-2024, 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 /// Operator for Navier-Stokes example using PETSc 10 #include <ceed.h> 11 #include <math.h> 12 #include <stdlib.h> 13 14 #include "newtonian_state.h" 15 #include "newtonian_types.h" 16 #include "stabilization.h" 17 #include "utils.h" 18 19 CEED_QFUNCTION_HELPER void InternalDampingLayer(const NewtonianIdealGasContext context, const State s, const CeedScalar sigma, CeedScalar damp_Y[5], 20 CeedScalar damp_residual[5]) { 21 ScaleN(damp_Y, sigma, 5); 22 State damp_s = StateFromY_fwd(context, s, damp_Y); 23 24 CeedScalar U[5]; 25 UnpackState_U(damp_s.U, U); 26 for (int i = 0; i < 5; i++) damp_residual[i] += U[i]; 27 } 28 29 // ***************************************************************************** 30 // This QFunction sets a "still" initial condition for generic Newtonian IG problems 31 // ***************************************************************************** 32 CEED_QFUNCTION_HELPER int ICsNewtonianIG(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, StateVariable state_var) { 33 CeedScalar(*q0)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 34 35 const SetupContext context = (SetupContext)ctx; 36 37 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 38 CeedScalar q[5] = {0.}; 39 State s = StateFromPrimitive(&context->gas, context->reference); 40 StateToQ(&context->gas, s, q, state_var); 41 for (CeedInt j = 0; j < 5; j++) q0[j][i] = q[j]; 42 } 43 return 0; 44 } 45 46 CEED_QFUNCTION(ICsNewtonianIG_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 47 return ICsNewtonianIG(ctx, Q, in, out, STATEVAR_PRIMITIVE); 48 } 49 CEED_QFUNCTION(ICsNewtonianIG_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 50 return ICsNewtonianIG(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 51 } 52 53 CEED_QFUNCTION_HELPER void MassFunction_Newtonian(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, 54 StateVariable state_var) { 55 const CeedScalar(*q_dot)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 56 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[1]; 57 const CeedScalar(*q_data) = in[2]; 58 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 59 CeedScalar(*Grad_v)[5][CEED_Q_VLA] = (CeedScalar(*)[5][CEED_Q_VLA])out[1]; 60 61 NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 62 63 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 64 const CeedScalar qi[5] = {q[0][i], q[1][i], q[2][i], q[3][i], q[4][i]}; 65 const CeedScalar qi_dot[5] = {q_dot[0][i], q_dot[1][i], q_dot[2][i], q_dot[3][i], q_dot[4][i]}; 66 const State s = StateFromQ(context, qi, state_var); 67 const State s_dot = StateFromQ(context, qi_dot, state_var); 68 CeedScalar wdetJ, dXdx[3][3]; 69 QdataUnpack_3D(Q, i, q_data, &wdetJ, dXdx); 70 71 // Standard mass matrix term 72 for (CeedInt f = 0; f < 5; f++) { 73 v[f][i] = wdetJ * qi_dot[f]; 74 } 75 76 // Stabilization method: none (Galerkin), SU, or SUPG 77 State grad_s[3] = {{{0.}}}; 78 CeedScalar Tau_d[3], stab[5][3], body_force[5] = {0.}, U_dot[5]; 79 UnpackState_U(s_dot.U, U_dot); 80 Tau_diagPrim(context, s, dXdx, context->dt, Tau_d); 81 Stabilization(context, s, Tau_d, grad_s, U_dot, body_force, stab); 82 83 // Stabilized mass term 84 for (CeedInt j = 0; j < 5; j++) { 85 for (CeedInt k = 0; k < 3; k++) { 86 Grad_v[k][j][i] = wdetJ * (stab[j][0] * dXdx[k][0] + stab[j][1] * dXdx[k][1] + stab[j][2] * dXdx[k][2]); 87 } 88 } 89 } 90 } 91 92 CEED_QFUNCTION(MassFunction_Newtonian_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 93 MassFunction_Newtonian(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 94 return 0; 95 } 96 97 // ***************************************************************************** 98 // This QFunction implements the following formulation of Navier-Stokes with explicit time stepping method 99 // 100 // This is 3D compressible Navier-Stokes in conservation form with state variables of density, momentum density, and total energy density. 101 // 102 // State Variables: q = ( rho, U1, U2, U3, E ) 103 // rho - Mass Density 104 // Ui - Momentum Density, Ui = rho ui 105 // E - Total Energy Density, E = rho (cv T + (u u)/2 + g z) 106 // 107 // Navier-Stokes Equations: 108 // drho/dt + div( U ) = 0 109 // dU/dt + div( rho (u x u) + P I3 ) + rho g khat = div( Fu ) 110 // dE/dt + div( (E + P) u ) = div( Fe ) 111 // 112 // Viscous Stress: 113 // Fu = mu (grad( u ) + grad( u )^T + lambda div ( u ) I3) 114 // 115 // Thermal Stress: 116 // Fe = u Fu + k grad( T ) 117 // Equation of State 118 // P = (gamma - 1) (E - rho (u u) / 2 - rho g z) 119 // 120 // Stabilization: 121 // Tau = diag(TauC, TauM, TauM, TauM, TauE) 122 // f1 = rho sqrt(ui uj gij) 123 // gij = dXi/dX * dXi/dX 124 // TauC = Cc f1 / (8 gii) 125 // TauM = min( 1 , 1 / f1 ) 126 // TauE = TauM / (Ce cv) 127 // 128 // SU = Galerkin + grad(v) . ( Ai^T * Tau * (Aj q,j) ) 129 // 130 // Constants: 131 // lambda = - 2 / 3, From Stokes hypothesis 132 // mu , Dynamic viscosity 133 // k , Thermal conductivity 134 // cv , Specific heat, constant volume 135 // cp , Specific heat, constant pressure 136 // g , Gravity 137 // gamma = cp / cv, Specific heat ratio 138 // 139 // We require the product of the inverse of the Jacobian (dXdx_j,k) and its transpose (dXdx_k,j) to properly compute integrals of the form: int( gradv 140 // gradu ) 141 // ***************************************************************************** 142 CEED_QFUNCTION(RHSFunction_Newtonian)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 143 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 144 const CeedScalar(*Grad_q) = in[1]; 145 const CeedScalar(*q_data) = in[2]; 146 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 147 CeedScalar(*Grad_v)[5][CEED_Q_VLA] = (CeedScalar(*)[5][CEED_Q_VLA])out[1]; 148 149 NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 150 const CeedScalar *g = context->g; 151 const CeedScalar dt = context->dt; 152 153 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 154 CeedScalar U[5], wdetJ, dXdx[3][3]; 155 for (int j = 0; j < 5; j++) U[j] = q[j][i]; 156 QdataUnpack_3D(Q, i, q_data, &wdetJ, dXdx); 157 State s = StateFromU(context, U); 158 159 State grad_s[3]; 160 StatePhysicalGradientFromReference(Q, i, context, s, STATEVAR_CONSERVATIVE, Grad_q, dXdx, grad_s); 161 162 CeedScalar strain_rate[6], kmstress[6], stress[3][3], Fe[3]; 163 KMStrainRate_State(grad_s, strain_rate); 164 NewtonianStress(context, strain_rate, kmstress); 165 KMUnpack(kmstress, stress); 166 ViscousEnergyFlux(context, s.Y, grad_s, stress, Fe); 167 168 StateConservative F_inviscid[3]; 169 FluxInviscid(context, s, F_inviscid); 170 171 // Total flux 172 CeedScalar Flux[5][3]; 173 FluxTotal(F_inviscid, stress, Fe, Flux); 174 175 for (CeedInt j = 0; j < 5; j++) { 176 for (CeedInt k = 0; k < 3; k++) Grad_v[k][j][i] = wdetJ * (dXdx[k][0] * Flux[j][0] + dXdx[k][1] * Flux[j][1] + dXdx[k][2] * Flux[j][2]); 177 } 178 179 const CeedScalar body_force[5] = {0, s.U.density * g[0], s.U.density * g[1], s.U.density * g[2], Dot3(s.U.momentum, g)}; 180 for (int j = 0; j < 5; j++) v[j][i] = wdetJ * body_force[j]; 181 182 // -- Stabilization method: none (Galerkin), SU, or SUPG 183 CeedScalar Tau_d[3], stab[5][3], U_dot[5] = {0}; 184 Tau_diagPrim(context, s, dXdx, dt, Tau_d); 185 Stabilization(context, s, Tau_d, grad_s, U_dot, body_force, stab); 186 187 for (CeedInt j = 0; j < 5; j++) { 188 for (CeedInt k = 0; k < 3; k++) Grad_v[k][j][i] -= wdetJ * (stab[j][0] * dXdx[k][0] + stab[j][1] * dXdx[k][1] + stab[j][2] * dXdx[k][2]); 189 } 190 } 191 return 0; 192 } 193 194 // ***************************************************************************** 195 // This QFunction implements the Navier-Stokes equations (mentioned above) with implicit time stepping method 196 // 197 // SU = Galerkin + grad(v) . ( Ai^T * Tau * (Aj q,j) ) 198 // SUPG = Galerkin + grad(v) . ( Ai^T * Tau * (q_dot + Aj q,j - body force) ) 199 // (diffusive terms will be added later) 200 // ***************************************************************************** 201 CEED_QFUNCTION_HELPER int IFunction_Newtonian(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, StateVariable state_var) { 202 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 203 const CeedScalar(*Grad_q) = in[1]; 204 const CeedScalar(*q_dot)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[2]; 205 const CeedScalar(*q_data) = in[3]; 206 const CeedScalar(*x)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[4]; 207 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 208 CeedScalar(*Grad_v)[5][CEED_Q_VLA] = (CeedScalar(*)[5][CEED_Q_VLA])out[1]; 209 CeedScalar(*jac_data) = out[2]; 210 211 NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 212 const CeedScalar *g = context->g; 213 const CeedScalar dt = context->dt; 214 const CeedScalar P0 = context->idl_pressure; 215 216 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 217 const CeedScalar qi[5] = {q[0][i], q[1][i], q[2][i], q[3][i], q[4][i]}; 218 const CeedScalar x_i[3] = {x[0][i], x[1][i], x[2][i]}; 219 const State s = StateFromQ(context, qi, state_var); 220 221 CeedScalar wdetJ, dXdx[3][3]; 222 QdataUnpack_3D(Q, i, q_data, &wdetJ, dXdx); 223 State grad_s[3]; 224 StatePhysicalGradientFromReference(Q, i, context, s, state_var, Grad_q, dXdx, grad_s); 225 226 CeedScalar strain_rate[6], kmstress[6], stress[3][3], Fe[3]; 227 KMStrainRate_State(grad_s, strain_rate); 228 NewtonianStress(context, strain_rate, kmstress); 229 KMUnpack(kmstress, stress); 230 ViscousEnergyFlux(context, s.Y, grad_s, stress, Fe); 231 232 StateConservative F_inviscid[3]; 233 FluxInviscid(context, s, F_inviscid); 234 235 // Total flux 236 CeedScalar Flux[5][3]; 237 FluxTotal(F_inviscid, stress, Fe, Flux); 238 239 for (CeedInt j = 0; j < 5; j++) { 240 for (CeedInt k = 0; k < 3; k++) { 241 Grad_v[k][j][i] = -wdetJ * (dXdx[k][0] * Flux[j][0] + dXdx[k][1] * Flux[j][1] + dXdx[k][2] * Flux[j][2]); 242 } 243 } 244 245 const CeedScalar body_force[5] = {0, s.U.density * g[0], s.U.density * g[1], s.U.density * g[2], Dot3(s.U.momentum, g)}; 246 247 // -- Stabilization method: none (Galerkin), SU, or SUPG 248 CeedScalar Tau_d[3], stab[5][3], U_dot[5] = {0}, qi_dot[5]; 249 for (int j = 0; j < 5; j++) qi_dot[j] = q_dot[j][i]; 250 State s_dot = StateFromQ_fwd(context, s, qi_dot, state_var); 251 UnpackState_U(s_dot.U, U_dot); 252 253 for (CeedInt j = 0; j < 5; j++) v[j][i] = wdetJ * (U_dot[j] - body_force[j]); 254 if (context->idl_enable) { 255 const CeedScalar sigma = LinearRampCoefficient(context->idl_amplitude, context->idl_length, context->idl_start, x_i[0]); 256 StoredValuesPack(Q, i, 14, 1, &sigma, jac_data); 257 CeedScalar damp_state[5] = {s.Y.pressure - P0, 0, 0, 0, 0}, idl_residual[5] = {0.}; 258 InternalDampingLayer(context, s, sigma, damp_state, idl_residual); 259 for (int j = 0; j < 5; j++) v[j][i] += wdetJ * idl_residual[j]; 260 } 261 262 Tau_diagPrim(context, s, dXdx, dt, Tau_d); 263 Stabilization(context, s, Tau_d, grad_s, U_dot, body_force, stab); 264 265 for (CeedInt j = 0; j < 5; j++) { 266 for (CeedInt k = 0; k < 3; k++) { 267 Grad_v[k][j][i] += wdetJ * (stab[j][0] * dXdx[k][0] + stab[j][1] * dXdx[k][1] + stab[j][2] * dXdx[k][2]); 268 } 269 } 270 StoredValuesPack(Q, i, 0, 5, qi, jac_data); 271 StoredValuesPack(Q, i, 5, 6, kmstress, jac_data); 272 StoredValuesPack(Q, i, 11, 3, Tau_d, jac_data); 273 } 274 return 0; 275 } 276 277 CEED_QFUNCTION(IFunction_Newtonian_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 278 return IFunction_Newtonian(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 279 } 280 281 CEED_QFUNCTION(IFunction_Newtonian_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 282 return IFunction_Newtonian(ctx, Q, in, out, STATEVAR_PRIMITIVE); 283 } 284 285 // ***************************************************************************** 286 // This QFunction implements the jacobian of the Navier-Stokes equations for implicit time stepping method. 287 // ***************************************************************************** 288 CEED_QFUNCTION_HELPER int IJacobian_Newtonian(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, StateVariable state_var) { 289 const CeedScalar(*dq)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 290 const CeedScalar(*Grad_dq) = in[1]; 291 const CeedScalar(*q_data) = in[2]; 292 const CeedScalar(*jac_data) = in[3]; 293 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 294 CeedScalar(*Grad_v)[5][CEED_Q_VLA] = (CeedScalar(*)[5][CEED_Q_VLA])out[1]; 295 296 NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 297 const CeedScalar *g = context->g; 298 299 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 300 CeedScalar wdetJ, dXdx[3][3]; 301 QdataUnpack_3D(Q, i, q_data, &wdetJ, dXdx); 302 303 CeedScalar qi[5], kmstress[6], Tau_d[3]; 304 StoredValuesUnpack(Q, i, 0, 5, jac_data, qi); 305 StoredValuesUnpack(Q, i, 5, 6, jac_data, kmstress); 306 StoredValuesUnpack(Q, i, 11, 3, jac_data, Tau_d); 307 State s = StateFromQ(context, qi, state_var); 308 309 CeedScalar dqi[5]; 310 for (int j = 0; j < 5; j++) dqi[j] = dq[j][i]; 311 State ds = StateFromQ_fwd(context, s, dqi, state_var); 312 313 State grad_ds[3]; 314 StatePhysicalGradientFromReference(Q, i, context, s, state_var, Grad_dq, dXdx, grad_ds); 315 316 CeedScalar dstrain_rate[6], dkmstress[6], stress[3][3], dstress[3][3], dFe[3]; 317 KMStrainRate_State(grad_ds, dstrain_rate); 318 NewtonianStress(context, dstrain_rate, dkmstress); 319 KMUnpack(dkmstress, dstress); 320 KMUnpack(kmstress, stress); 321 ViscousEnergyFlux_fwd(context, s.Y, ds.Y, grad_ds, stress, dstress, dFe); 322 323 StateConservative dF_inviscid[3]; 324 FluxInviscid_fwd(context, s, ds, dF_inviscid); 325 326 // Total flux 327 CeedScalar dFlux[5][3]; 328 FluxTotal(dF_inviscid, dstress, dFe, dFlux); 329 330 for (int j = 0; j < 5; j++) { 331 for (int k = 0; k < 3; k++) Grad_v[k][j][i] = -wdetJ * (dXdx[k][0] * dFlux[j][0] + dXdx[k][1] * dFlux[j][1] + dXdx[k][2] * dFlux[j][2]); 332 } 333 334 const CeedScalar dbody_force[5] = {0, ds.U.density * g[0], ds.U.density * g[1], ds.U.density * g[2], Dot3(ds.U.momentum, g)}; 335 CeedScalar dU[5] = {0.}; 336 UnpackState_U(ds.U, dU); 337 for (int j = 0; j < 5; j++) v[j][i] = wdetJ * (context->ijacobian_time_shift * dU[j] - dbody_force[j]); 338 339 if (context->idl_enable) { 340 const CeedScalar sigma = jac_data[14 * Q + i]; 341 CeedScalar damp_state[5] = {ds.Y.pressure, 0, 0, 0, 0}, idl_residual[5] = {0.}; 342 // This is a Picard-type linearization of the damping and could be replaced by an InternalDampingLayer_fwd that uses s and ds. 343 InternalDampingLayer(context, s, sigma, damp_state, idl_residual); 344 for (int j = 0; j < 5; j++) v[j][i] += wdetJ * idl_residual[j]; 345 } 346 347 // -- Stabilization method: none (Galerkin), SU, or SUPG 348 CeedScalar dstab[5][3], U_dot[5] = {0}; 349 for (CeedInt j = 0; j < 5; j++) U_dot[j] = context->ijacobian_time_shift * dU[j]; 350 Stabilization(context, s, Tau_d, grad_ds, U_dot, dbody_force, dstab); 351 352 for (int j = 0; j < 5; j++) { 353 for (int k = 0; k < 3; k++) Grad_v[k][j][i] += wdetJ * (dstab[j][0] * dXdx[k][0] + dstab[j][1] * dXdx[k][1] + dstab[j][2] * dXdx[k][2]); 354 } 355 } 356 return 0; 357 } 358 359 CEED_QFUNCTION(IJacobian_Newtonian_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 360 return IJacobian_Newtonian(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 361 } 362 363 CEED_QFUNCTION(IJacobian_Newtonian_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 364 return IJacobian_Newtonian(ctx, Q, in, out, STATEVAR_PRIMITIVE); 365 } 366 367 // ***************************************************************************** 368 // Compute boundary integral (ie. for strongly set inflows) 369 // ***************************************************************************** 370 CEED_QFUNCTION_HELPER int BoundaryIntegral(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, StateVariable state_var) { 371 const NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 372 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 373 const CeedScalar(*Grad_q) = in[1]; 374 const CeedScalar(*q_data_sur) = in[2]; 375 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 376 CeedScalar(*jac_data_sur) = context->is_implicit ? out[1] : NULL; 377 378 const bool is_implicit = context->is_implicit; 379 380 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 381 const CeedScalar qi[5] = {q[0][i], q[1][i], q[2][i], q[3][i], q[4][i]}; 382 State s = StateFromQ(context, qi, state_var); 383 384 CeedScalar wdetJb, dXdx[2][3], norm[3]; 385 QdataBoundaryUnpack_3D(Q, i, q_data_sur, &wdetJb, dXdx, norm); 386 wdetJb *= is_implicit ? -1. : 1.; 387 388 State grad_s[3]; 389 StatePhysicalGradientFromReference_Boundary(Q, i, context, s, state_var, Grad_q, dXdx, grad_s); 390 391 CeedScalar strain_rate[6], kmstress[6], stress[3][3], Fe[3]; 392 KMStrainRate_State(grad_s, strain_rate); 393 NewtonianStress(context, strain_rate, kmstress); 394 KMUnpack(kmstress, stress); 395 ViscousEnergyFlux(context, s.Y, grad_s, stress, Fe); 396 397 StateConservative F_inviscid[3]; 398 FluxInviscid(context, s, F_inviscid); 399 400 CeedScalar Flux[5]; 401 FluxTotal_Boundary(F_inviscid, stress, Fe, norm, Flux); 402 403 for (CeedInt j = 0; j < 5; j++) v[j][i] = -wdetJb * Flux[j]; 404 405 if (is_implicit) { 406 StoredValuesPack(Q, i, 0, 5, qi, jac_data_sur); 407 StoredValuesPack(Q, i, 5, 6, kmstress, jac_data_sur); 408 } 409 } 410 return 0; 411 } 412 413 CEED_QFUNCTION(BoundaryIntegral_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 414 return BoundaryIntegral(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 415 } 416 417 CEED_QFUNCTION(BoundaryIntegral_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 418 return BoundaryIntegral(ctx, Q, in, out, STATEVAR_PRIMITIVE); 419 } 420 421 // ***************************************************************************** 422 // Jacobian for "set nothing" boundary integral 423 // ***************************************************************************** 424 CEED_QFUNCTION_HELPER int BoundaryIntegral_Jacobian(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, 425 StateVariable state_var) { 426 const CeedScalar(*dq)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 427 const CeedScalar(*Grad_dq) = in[1]; 428 const CeedScalar(*q_data_sur) = in[2]; 429 const CeedScalar(*jac_data_sur) = in[4]; 430 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 431 432 const NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 433 const bool is_implicit = context->is_implicit; 434 435 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 436 CeedScalar wdetJb, dXdx[2][3], norm[3]; 437 QdataBoundaryUnpack_3D(Q, i, q_data_sur, &wdetJb, dXdx, norm); 438 wdetJb *= is_implicit ? -1. : 1.; 439 440 CeedScalar qi[5], kmstress[6], dqi[5]; 441 StoredValuesUnpack(Q, i, 0, 5, jac_data_sur, qi); 442 StoredValuesUnpack(Q, i, 5, 6, jac_data_sur, kmstress); 443 for (int j = 0; j < 5; j++) dqi[j] = dq[j][i]; 444 445 State s = StateFromQ(context, qi, state_var); 446 State ds = StateFromQ_fwd(context, s, dqi, state_var); 447 448 State grad_ds[3]; 449 StatePhysicalGradientFromReference_Boundary(Q, i, context, s, state_var, Grad_dq, dXdx, grad_ds); 450 451 CeedScalar dstrain_rate[6], dkmstress[6], stress[3][3], dstress[3][3], dFe[3]; 452 KMStrainRate_State(grad_ds, dstrain_rate); 453 NewtonianStress(context, dstrain_rate, dkmstress); 454 KMUnpack(dkmstress, dstress); 455 KMUnpack(kmstress, stress); 456 ViscousEnergyFlux_fwd(context, s.Y, ds.Y, grad_ds, stress, dstress, dFe); 457 458 StateConservative dF_inviscid[3]; 459 FluxInviscid_fwd(context, s, ds, dF_inviscid); 460 461 CeedScalar dFlux[5]; 462 FluxTotal_Boundary(dF_inviscid, dstress, dFe, norm, dFlux); 463 464 for (int j = 0; j < 5; j++) v[j][i] = -wdetJb * dFlux[j]; 465 } 466 return 0; 467 } 468 469 CEED_QFUNCTION(BoundaryIntegral_Jacobian_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 470 return BoundaryIntegral_Jacobian(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 471 } 472 473 CEED_QFUNCTION(BoundaryIntegral_Jacobian_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 474 return BoundaryIntegral_Jacobian(ctx, Q, in, out, STATEVAR_PRIMITIVE); 475 } 476