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 const CeedScalar(*x)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[3]; 147 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 148 CeedScalar(*Grad_v)[5][CEED_Q_VLA] = (CeedScalar(*)[5][CEED_Q_VLA])out[1]; 149 150 NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 151 const CeedScalar *g = context->g; 152 const CeedScalar dt = context->dt; 153 const CeedScalar P0 = context->idl_pressure; 154 155 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 156 CeedScalar U[5], wdetJ, dXdx[3][3]; 157 const CeedScalar x_i[3] = {x[0][i], x[1][i], x[2][i]}; 158 for (int j = 0; j < 5; j++) U[j] = q[j][i]; 159 QdataUnpack_3D(Q, i, q_data, &wdetJ, dXdx); 160 State s = StateFromU(context, U); 161 162 State grad_s[3]; 163 StatePhysicalGradientFromReference(Q, i, context, s, STATEVAR_CONSERVATIVE, Grad_q, dXdx, grad_s); 164 165 CeedScalar strain_rate[6], kmstress[6], stress[3][3], Fe[3]; 166 KMStrainRate_State(grad_s, strain_rate); 167 NewtonianStress(context, strain_rate, kmstress); 168 KMUnpack(kmstress, stress); 169 ViscousEnergyFlux(context, s.Y, grad_s, stress, Fe); 170 171 StateConservative F_inviscid[3]; 172 FluxInviscid(context, s, F_inviscid); 173 174 // Total flux 175 CeedScalar Flux[5][3]; 176 FluxTotal(F_inviscid, stress, Fe, Flux); 177 178 for (CeedInt j = 0; j < 5; j++) { 179 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]); 180 } 181 182 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)}; 183 for (int j = 0; j < 5; j++) v[j][i] = wdetJ * body_force[j]; 184 185 if (context->idl_enable) { 186 const CeedScalar sigma = LinearRampCoefficient(context->idl_amplitude, context->idl_length, context->idl_start, x_i[0]); 187 CeedScalar damp_state[5] = {s.Y.pressure - P0, 0, 0, 0, 0}, idl_residual[5] = {0.}; 188 InternalDampingLayer(context, s, sigma, damp_state, idl_residual); 189 for (int j = 0; j < 5; j++) v[j][i] -= wdetJ * idl_residual[j]; 190 } 191 192 // -- Stabilization method: none (Galerkin), SU, or SUPG 193 CeedScalar Tau_d[3], stab[5][3], U_dot[5] = {0}; 194 Tau_diagPrim(context, s, dXdx, dt, Tau_d); 195 Stabilization(context, s, Tau_d, grad_s, U_dot, body_force, stab); 196 197 for (CeedInt j = 0; j < 5; j++) { 198 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]); 199 } 200 } 201 return 0; 202 } 203 204 // ***************************************************************************** 205 // This QFunction implements the Navier-Stokes equations (mentioned above) with implicit time stepping method 206 // 207 // SU = Galerkin + grad(v) . ( Ai^T * Tau * (Aj q,j) ) 208 // SUPG = Galerkin + grad(v) . ( Ai^T * Tau * (q_dot + Aj q,j - body force) ) 209 // (diffusive terms will be added later) 210 // ***************************************************************************** 211 CEED_QFUNCTION_HELPER int IFunction_Newtonian(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, StateVariable state_var) { 212 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 213 const CeedScalar(*Grad_q) = in[1]; 214 const CeedScalar(*q_dot)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[2]; 215 const CeedScalar(*q_data) = in[3]; 216 const CeedScalar(*x)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[4]; 217 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 218 CeedScalar(*Grad_v)[5][CEED_Q_VLA] = (CeedScalar(*)[5][CEED_Q_VLA])out[1]; 219 CeedScalar(*jac_data) = out[2]; 220 221 NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 222 const CeedScalar *g = context->g; 223 const CeedScalar dt = context->dt; 224 const CeedScalar P0 = context->idl_pressure; 225 226 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 227 const CeedScalar qi[5] = {q[0][i], q[1][i], q[2][i], q[3][i], q[4][i]}; 228 const CeedScalar x_i[3] = {x[0][i], x[1][i], x[2][i]}; 229 const State s = StateFromQ(context, qi, state_var); 230 231 CeedScalar wdetJ, dXdx[3][3]; 232 QdataUnpack_3D(Q, i, q_data, &wdetJ, dXdx); 233 State grad_s[3]; 234 StatePhysicalGradientFromReference(Q, i, context, s, state_var, Grad_q, dXdx, grad_s); 235 236 CeedScalar strain_rate[6], kmstress[6], stress[3][3], Fe[3]; 237 KMStrainRate_State(grad_s, strain_rate); 238 NewtonianStress(context, strain_rate, kmstress); 239 KMUnpack(kmstress, stress); 240 ViscousEnergyFlux(context, s.Y, grad_s, stress, Fe); 241 242 StateConservative F_inviscid[3]; 243 FluxInviscid(context, s, F_inviscid); 244 245 // Total flux 246 CeedScalar Flux[5][3]; 247 FluxTotal(F_inviscid, stress, Fe, Flux); 248 249 for (CeedInt j = 0; j < 5; j++) { 250 for (CeedInt k = 0; k < 3; k++) { 251 Grad_v[k][j][i] = -wdetJ * (dXdx[k][0] * Flux[j][0] + dXdx[k][1] * Flux[j][1] + dXdx[k][2] * Flux[j][2]); 252 } 253 } 254 255 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)}; 256 257 // -- Stabilization method: none (Galerkin), SU, or SUPG 258 CeedScalar Tau_d[3], stab[5][3], U_dot[5] = {0}, qi_dot[5]; 259 for (int j = 0; j < 5; j++) qi_dot[j] = q_dot[j][i]; 260 State s_dot = StateFromQ_fwd(context, s, qi_dot, state_var); 261 UnpackState_U(s_dot.U, U_dot); 262 263 for (CeedInt j = 0; j < 5; j++) v[j][i] = wdetJ * (U_dot[j] - body_force[j]); 264 if (context->idl_enable) { 265 const CeedScalar sigma = LinearRampCoefficient(context->idl_amplitude, context->idl_length, context->idl_start, x_i[0]); 266 StoredValuesPack(Q, i, 14, 1, &sigma, jac_data); 267 CeedScalar damp_state[5] = {s.Y.pressure - P0, 0, 0, 0, 0}, idl_residual[5] = {0.}; 268 InternalDampingLayer(context, s, sigma, damp_state, idl_residual); 269 for (int j = 0; j < 5; j++) v[j][i] += wdetJ * idl_residual[j]; 270 } 271 272 Tau_diagPrim(context, s, dXdx, dt, Tau_d); 273 Stabilization(context, s, Tau_d, grad_s, U_dot, body_force, stab); 274 275 for (CeedInt j = 0; j < 5; j++) { 276 for (CeedInt k = 0; k < 3; k++) { 277 Grad_v[k][j][i] += wdetJ * (stab[j][0] * dXdx[k][0] + stab[j][1] * dXdx[k][1] + stab[j][2] * dXdx[k][2]); 278 } 279 } 280 StoredValuesPack(Q, i, 0, 5, qi, jac_data); 281 StoredValuesPack(Q, i, 5, 6, kmstress, jac_data); 282 StoredValuesPack(Q, i, 11, 3, Tau_d, jac_data); 283 } 284 return 0; 285 } 286 287 CEED_QFUNCTION(IFunction_Newtonian_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 288 return IFunction_Newtonian(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 289 } 290 291 CEED_QFUNCTION(IFunction_Newtonian_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 292 return IFunction_Newtonian(ctx, Q, in, out, STATEVAR_PRIMITIVE); 293 } 294 295 // ***************************************************************************** 296 // This QFunction implements the jacobian of the Navier-Stokes equations for implicit time stepping method. 297 // ***************************************************************************** 298 CEED_QFUNCTION_HELPER int IJacobian_Newtonian(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, StateVariable state_var) { 299 const CeedScalar(*dq)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 300 const CeedScalar(*Grad_dq) = in[1]; 301 const CeedScalar(*q_data) = in[2]; 302 const CeedScalar(*jac_data) = in[3]; 303 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 304 CeedScalar(*Grad_v)[5][CEED_Q_VLA] = (CeedScalar(*)[5][CEED_Q_VLA])out[1]; 305 306 NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 307 const CeedScalar *g = context->g; 308 309 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 310 CeedScalar wdetJ, dXdx[3][3]; 311 QdataUnpack_3D(Q, i, q_data, &wdetJ, dXdx); 312 313 CeedScalar qi[5], kmstress[6], Tau_d[3]; 314 StoredValuesUnpack(Q, i, 0, 5, jac_data, qi); 315 StoredValuesUnpack(Q, i, 5, 6, jac_data, kmstress); 316 StoredValuesUnpack(Q, i, 11, 3, jac_data, Tau_d); 317 State s = StateFromQ(context, qi, state_var); 318 319 CeedScalar dqi[5]; 320 for (int j = 0; j < 5; j++) dqi[j] = dq[j][i]; 321 State ds = StateFromQ_fwd(context, s, dqi, state_var); 322 323 State grad_ds[3]; 324 StatePhysicalGradientFromReference(Q, i, context, s, state_var, Grad_dq, dXdx, grad_ds); 325 326 CeedScalar dstrain_rate[6], dkmstress[6], stress[3][3], dstress[3][3], dFe[3]; 327 KMStrainRate_State(grad_ds, dstrain_rate); 328 NewtonianStress(context, dstrain_rate, dkmstress); 329 KMUnpack(dkmstress, dstress); 330 KMUnpack(kmstress, stress); 331 ViscousEnergyFlux_fwd(context, s.Y, ds.Y, grad_ds, stress, dstress, dFe); 332 333 StateConservative dF_inviscid[3]; 334 FluxInviscid_fwd(context, s, ds, dF_inviscid); 335 336 // Total flux 337 CeedScalar dFlux[5][3]; 338 FluxTotal(dF_inviscid, dstress, dFe, dFlux); 339 340 for (int j = 0; j < 5; j++) { 341 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]); 342 } 343 344 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)}; 345 CeedScalar dU[5] = {0.}; 346 UnpackState_U(ds.U, dU); 347 for (int j = 0; j < 5; j++) v[j][i] = wdetJ * (context->ijacobian_time_shift * dU[j] - dbody_force[j]); 348 349 if (context->idl_enable) { 350 const CeedScalar sigma = jac_data[14 * Q + i]; 351 CeedScalar damp_state[5] = {ds.Y.pressure, 0, 0, 0, 0}, idl_residual[5] = {0.}; 352 // This is a Picard-type linearization of the damping and could be replaced by an InternalDampingLayer_fwd that uses s and ds. 353 InternalDampingLayer(context, s, sigma, damp_state, idl_residual); 354 for (int j = 0; j < 5; j++) v[j][i] += wdetJ * idl_residual[j]; 355 } 356 357 // -- Stabilization method: none (Galerkin), SU, or SUPG 358 CeedScalar dstab[5][3], U_dot[5] = {0}; 359 for (CeedInt j = 0; j < 5; j++) U_dot[j] = context->ijacobian_time_shift * dU[j]; 360 Stabilization(context, s, Tau_d, grad_ds, U_dot, dbody_force, dstab); 361 362 for (int j = 0; j < 5; j++) { 363 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]); 364 } 365 } 366 return 0; 367 } 368 369 CEED_QFUNCTION(IJacobian_Newtonian_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 370 return IJacobian_Newtonian(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 371 } 372 373 CEED_QFUNCTION(IJacobian_Newtonian_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 374 return IJacobian_Newtonian(ctx, Q, in, out, STATEVAR_PRIMITIVE); 375 } 376 377 // ***************************************************************************** 378 // Compute boundary integral (ie. for strongly set inflows) 379 // ***************************************************************************** 380 CEED_QFUNCTION_HELPER int BoundaryIntegral(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, StateVariable state_var) { 381 const NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 382 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 383 const CeedScalar(*Grad_q) = in[1]; 384 const CeedScalar(*q_data_sur) = in[2]; 385 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 386 CeedScalar(*jac_data_sur) = context->is_implicit ? out[1] : NULL; 387 388 const bool is_implicit = context->is_implicit; 389 390 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 391 const CeedScalar qi[5] = {q[0][i], q[1][i], q[2][i], q[3][i], q[4][i]}; 392 State s = StateFromQ(context, qi, state_var); 393 394 CeedScalar wdetJb, dXdx[2][3], norm[3]; 395 QdataBoundaryUnpack_3D(Q, i, q_data_sur, &wdetJb, dXdx, norm); 396 wdetJb *= is_implicit ? -1. : 1.; 397 398 State grad_s[3]; 399 StatePhysicalGradientFromReference_Boundary(Q, i, context, s, state_var, Grad_q, dXdx, grad_s); 400 401 CeedScalar strain_rate[6], kmstress[6], stress[3][3], Fe[3]; 402 KMStrainRate_State(grad_s, strain_rate); 403 NewtonianStress(context, strain_rate, kmstress); 404 KMUnpack(kmstress, stress); 405 ViscousEnergyFlux(context, s.Y, grad_s, stress, Fe); 406 407 StateConservative F_inviscid[3]; 408 FluxInviscid(context, s, F_inviscid); 409 410 CeedScalar Flux[5]; 411 FluxTotal_Boundary(F_inviscid, stress, Fe, norm, Flux); 412 413 for (CeedInt j = 0; j < 5; j++) v[j][i] = -wdetJb * Flux[j]; 414 415 if (is_implicit) { 416 StoredValuesPack(Q, i, 0, 5, qi, jac_data_sur); 417 StoredValuesPack(Q, i, 5, 6, kmstress, jac_data_sur); 418 } 419 } 420 return 0; 421 } 422 423 CEED_QFUNCTION(BoundaryIntegral_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 424 return BoundaryIntegral(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 425 } 426 427 CEED_QFUNCTION(BoundaryIntegral_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 428 return BoundaryIntegral(ctx, Q, in, out, STATEVAR_PRIMITIVE); 429 } 430 431 // ***************************************************************************** 432 // Jacobian for "set nothing" boundary integral 433 // ***************************************************************************** 434 CEED_QFUNCTION_HELPER int BoundaryIntegral_Jacobian(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, 435 StateVariable state_var) { 436 const CeedScalar(*dq)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 437 const CeedScalar(*Grad_dq) = in[1]; 438 const CeedScalar(*q_data_sur) = in[2]; 439 const CeedScalar(*jac_data_sur) = in[4]; 440 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 441 442 const NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 443 const bool is_implicit = context->is_implicit; 444 445 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 446 CeedScalar wdetJb, dXdx[2][3], norm[3]; 447 QdataBoundaryUnpack_3D(Q, i, q_data_sur, &wdetJb, dXdx, norm); 448 wdetJb *= is_implicit ? -1. : 1.; 449 450 CeedScalar qi[5], kmstress[6], dqi[5]; 451 StoredValuesUnpack(Q, i, 0, 5, jac_data_sur, qi); 452 StoredValuesUnpack(Q, i, 5, 6, jac_data_sur, kmstress); 453 for (int j = 0; j < 5; j++) dqi[j] = dq[j][i]; 454 455 State s = StateFromQ(context, qi, state_var); 456 State ds = StateFromQ_fwd(context, s, dqi, state_var); 457 458 State grad_ds[3]; 459 StatePhysicalGradientFromReference_Boundary(Q, i, context, s, state_var, Grad_dq, dXdx, grad_ds); 460 461 CeedScalar dstrain_rate[6], dkmstress[6], stress[3][3], dstress[3][3], dFe[3]; 462 KMStrainRate_State(grad_ds, dstrain_rate); 463 NewtonianStress(context, dstrain_rate, dkmstress); 464 KMUnpack(dkmstress, dstress); 465 KMUnpack(kmstress, stress); 466 ViscousEnergyFlux_fwd(context, s.Y, ds.Y, grad_ds, stress, dstress, dFe); 467 468 StateConservative dF_inviscid[3]; 469 FluxInviscid_fwd(context, s, ds, dF_inviscid); 470 471 CeedScalar dFlux[5]; 472 FluxTotal_Boundary(dF_inviscid, dstress, dFe, norm, dFlux); 473 474 for (int j = 0; j < 5; j++) v[j][i] = -wdetJb * dFlux[j]; 475 } 476 return 0; 477 } 478 479 CEED_QFUNCTION(BoundaryIntegral_Jacobian_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 480 return BoundaryIntegral_Jacobian(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 481 } 482 483 CEED_QFUNCTION(BoundaryIntegral_Jacobian_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 484 return BoundaryIntegral_Jacobian(ctx, Q, in, out, STATEVAR_PRIMITIVE); 485 } 486