1 // SPDX-FileCopyrightText: Copyright (c) 2017-2024, HONEE contributors. 2 // SPDX-License-Identifier: Apache-2.0 OR BSD-2-Clause 3 4 /// @file 5 /// Newtonian fluids operator for HONEE 6 #include <ceed/types.h> 7 8 #include "newtonian_state.h" 9 #include "newtonian_types.h" 10 #include "stabilization.h" 11 #include "utils.h" 12 13 CEED_QFUNCTION_HELPER void InternalDampingLayer(const NewtonianIdealGasContext context, const State s, const CeedScalar sigma, CeedScalar damp_Y[5], 14 CeedScalar damp_residual[5]) { 15 ScaleN(damp_Y, sigma, 5); 16 State damp_s = StateFromY_fwd(context, s, damp_Y); 17 18 CeedScalar U[5]; 19 UnpackState_U(damp_s.U, U); 20 for (int i = 0; i < 5; i++) damp_residual[i] += U[i]; 21 } 22 23 // ***************************************************************************** 24 // This QFunction sets a "still" initial condition for generic Newtonian IG problems 25 // ***************************************************************************** 26 CEED_QFUNCTION_HELPER int ICsNewtonianIG(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, StateVariable state_var) { 27 CeedScalar(*q0)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 28 29 const SetupContext context = (SetupContext)ctx; 30 31 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 32 CeedScalar q[5]; 33 State s = StateFromPrimitive(&context->gas, context->reference); 34 StateToQ(&context->gas, s, q, state_var); 35 for (CeedInt j = 0; j < 5; j++) q0[j][i] = q[j]; 36 } 37 return 0; 38 } 39 40 CEED_QFUNCTION(ICsNewtonianIG_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 41 return ICsNewtonianIG(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 42 } 43 44 CEED_QFUNCTION(ICsNewtonianIG_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 45 return ICsNewtonianIG(ctx, Q, in, out, STATEVAR_PRIMITIVE); 46 } 47 48 CEED_QFUNCTION(ICsNewtonianIG_Entropy)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 49 return ICsNewtonianIG(ctx, Q, in, out, STATEVAR_ENTROPY); 50 } 51 52 CEED_QFUNCTION_HELPER int MassFunction_Newtonian(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, StateVariable state_var) { 53 const CeedScalar(*q_dot)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 54 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[1]; 55 const CeedScalar(*q_data) = in[2]; 56 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 57 CeedScalar(*Grad_v)[5][CEED_Q_VLA] = (CeedScalar(*)[5][CEED_Q_VLA])out[1]; 58 59 NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 60 61 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 62 const CeedScalar qi[5] = {q[0][i], q[1][i], q[2][i], q[3][i], q[4][i]}; 63 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]}; 64 const State s = StateFromQ(context, qi, state_var); 65 const State s_dot = StateFromQ(context, qi_dot, state_var); 66 CeedScalar wdetJ, dXdx[3][3]; 67 QdataUnpack_3D(Q, i, q_data, &wdetJ, dXdx); 68 69 // Standard mass matrix term 70 for (CeedInt f = 0; f < 5; f++) { 71 v[f][i] = wdetJ * qi_dot[f]; 72 } 73 74 // Stabilization method: none (Galerkin), SU, or SUPG 75 State grad_s[3] = {{{0.}}}; 76 CeedScalar Tau_d[3], stab[5][3], body_force[5] = {0.}, divFdiff[5] = {0.}, U_dot[5]; 77 UnpackState_U(s_dot.U, U_dot); 78 Tau_diagPrim(context, s, dXdx, context->dt, Tau_d); 79 Stabilization(context, s, Tau_d, grad_s, U_dot, body_force, divFdiff, stab); 80 81 // Stabilized mass term 82 for (CeedInt j = 0; j < 5; j++) { 83 for (CeedInt k = 0; k < 3; k++) { 84 Grad_v[k][j][i] = wdetJ * (stab[j][0] * dXdx[k][0] + stab[j][1] * dXdx[k][1] + stab[j][2] * dXdx[k][2]); 85 } 86 } 87 } 88 return 0; 89 } 90 91 CEED_QFUNCTION(MassFunction_Newtonian_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 92 return MassFunction_Newtonian(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 93 } 94 95 // ***************************************************************************** 96 // This QFunction implements the following formulation of Navier-Stokes with explicit time stepping method 97 // 98 // This is 3D compressible Navier-Stokes in conservation form with state variables of density, momentum density, and total energy density. 99 // 100 // State Variables: q = ( rho, U1, U2, U3, E ) 101 // rho - Mass Density 102 // Ui - Momentum Density, Ui = rho ui 103 // E - Total Energy Density, E = rho (cv T + (u u)/2 + g z) 104 // 105 // Navier-Stokes Equations: 106 // drho/dt + div( U ) = 0 107 // dU/dt + div( rho (u x u) + P I3 ) + rho g khat = div( Fu ) 108 // dE/dt + div( (E + P) u ) = div( Fe ) 109 // 110 // Viscous Stress: 111 // Fu = mu (grad( u ) + grad( u )^T + lambda div ( u ) I3) 112 // 113 // Thermal Stress: 114 // Fe = u Fu + k grad( T ) 115 // Equation of State 116 // P = (gamma - 1) (E - rho (u u) / 2 - rho g z) 117 // 118 // Stabilization: 119 // Tau = diag(TauC, TauM, TauM, TauM, TauE) 120 // f1 = rho sqrt(ui uj gij) 121 // gij = dXi/dX * dXi/dX 122 // TauC = Cc f1 / (8 gii) 123 // TauM = min( 1 , 1 / f1 ) 124 // TauE = TauM / (Ce cv) 125 // 126 // SU = Galerkin + grad(v) . ( Ai^T * Tau * (Aj q,j) ) 127 // 128 // Constants: 129 // lambda = - 2 / 3, From Stokes hypothesis 130 // mu , Dynamic viscosity 131 // k , Thermal conductivity 132 // cv , Specific heat, constant volume 133 // cp , Specific heat, constant pressure 134 // g , Gravity 135 // gamma = cp / cv, Specific heat ratio 136 // 137 // 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 138 // gradu ) 139 // ***************************************************************************** 140 CEED_QFUNCTION(RHSFunction_Newtonian)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 141 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 142 const CeedScalar(*Grad_q) = in[1]; 143 const CeedScalar(*q_data) = in[2]; 144 const CeedScalar(*x)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[3]; 145 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 146 CeedScalar(*Grad_v)[5][CEED_Q_VLA] = (CeedScalar(*)[5][CEED_Q_VLA])out[1]; 147 148 NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 149 const CeedScalar *g = context->g; 150 const CeedScalar dt = context->dt; 151 const CeedScalar P0 = context->idl_pressure; 152 153 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 154 CeedScalar U[5], wdetJ, dXdx[3][3]; 155 const CeedScalar x_i[3] = {x[0][i], x[1][i], x[2][i]}; 156 for (int j = 0; j < 5; j++) U[j] = q[j][i]; 157 QdataUnpack_3D(Q, i, q_data, &wdetJ, dXdx); 158 State s = StateFromU(context, U); 159 160 State grad_s[3]; 161 StatePhysicalGradientFromReference(Q, i, context, s, STATEVAR_CONSERVATIVE, Grad_q, dXdx, grad_s); 162 163 CeedScalar strain_rate[6], kmstress[6], stress[3][3], Fe[3]; 164 KMStrainRate_State(grad_s, strain_rate); 165 NewtonianStress(context, strain_rate, kmstress); 166 KMUnpack(kmstress, stress); 167 ViscousEnergyFlux(context, s.Y, grad_s, stress, Fe); 168 169 StateConservative F_inviscid[3]; 170 FluxInviscid(context, s, F_inviscid); 171 172 // Total flux 173 CeedScalar Flux[5][3]; 174 FluxTotal(F_inviscid, stress, Fe, Flux); 175 176 for (CeedInt j = 0; j < 5; j++) { 177 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]); 178 } 179 180 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)}; 181 for (int j = 0; j < 5; j++) v[j][i] = wdetJ * body_force[j]; 182 183 if (context->idl_enable) { 184 const CeedScalar sigma = LinearRampCoefficient(context->idl_amplitude, context->idl_length, context->idl_start, x_i[0]); 185 CeedScalar damp_state[5] = {s.Y.pressure - P0, 0, 0, 0, 0}, idl_residual[5] = {0.}; 186 InternalDampingLayer(context, s, sigma, damp_state, idl_residual); 187 for (int j = 0; j < 5; j++) v[j][i] -= wdetJ * idl_residual[j]; 188 } 189 190 // -- Stabilization method: none (Galerkin), SU, or SUPG 191 CeedScalar Tau_d[3], stab[5][3], U_dot[5] = {0}, zeroFlux[5] = {0.}; 192 Tau_diagPrim(context, s, dXdx, dt, Tau_d); 193 Stabilization(context, s, Tau_d, grad_s, U_dot, body_force, zeroFlux, stab); 194 195 for (CeedInt j = 0; j < 5; j++) { 196 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]); 197 } 198 } 199 return 0; 200 } 201 202 // ***************************************************************************** 203 // This QFunction implements the Navier-Stokes equations (mentioned above) with implicit time stepping method 204 // 205 // SU = Galerkin + grad(v) . ( Ai^T * Tau * (Aj q,j) ) 206 // SUPG = Galerkin + grad(v) . ( Ai^T * Tau * (q_dot + Aj q,j - body force) ) 207 // (diffusive terms will be added later) 208 // ***************************************************************************** 209 CEED_QFUNCTION_HELPER int IFunction_Newtonian(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, StateVariable state_var) { 210 NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 211 const bool use_divFdiff = context->divFdiff_method != DIV_DIFF_FLUX_PROJ_NONE; 212 213 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 214 const CeedScalar(*Grad_q) = in[1]; 215 const CeedScalar(*q_dot)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[2]; 216 const CeedScalar(*q_data) = in[3]; 217 const CeedScalar(*x)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[4]; 218 const CeedScalar(*divFdiff)[CEED_Q_VLA] = use_divFdiff ? (const CeedScalar(*)[CEED_Q_VLA])in[5] : NULL; 219 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 220 CeedScalar(*Grad_v)[5][CEED_Q_VLA] = (CeedScalar(*)[5][CEED_Q_VLA])out[1]; 221 CeedScalar(*jac_data) = out[2]; 222 223 const CeedScalar *g = context->g; 224 const CeedScalar dt = context->dt; 225 const CeedScalar idl_pressure = context->idl_pressure; 226 227 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 228 const CeedScalar qi[5] = {q[0][i], q[1][i], q[2][i], q[3][i], q[4][i]}; 229 const CeedScalar x_i[3] = {x[0][i], x[1][i], x[2][i]}; 230 const State s = StateFromQ(context, qi, state_var); 231 232 CeedScalar wdetJ, dXdx[3][3]; 233 QdataUnpack_3D(Q, i, q_data, &wdetJ, dXdx); 234 State grad_s[3]; 235 StatePhysicalGradientFromReference(Q, i, context, s, state_var, Grad_q, dXdx, grad_s); 236 237 CeedScalar strain_rate[6], kmstress[6], stress[3][3], Fe[3]; 238 KMStrainRate_State(grad_s, strain_rate); 239 NewtonianStress(context, strain_rate, kmstress); 240 KMUnpack(kmstress, stress); 241 ViscousEnergyFlux(context, s.Y, grad_s, stress, Fe); 242 243 StateConservative F_inviscid[3]; 244 FluxInviscid(context, s, F_inviscid); 245 246 // Total flux 247 CeedScalar Flux[5][3]; 248 FluxTotal(F_inviscid, stress, Fe, Flux); 249 250 for (CeedInt j = 0; j < 5; j++) { 251 for (CeedInt k = 0; k < 3; k++) { 252 Grad_v[k][j][i] = -wdetJ * (dXdx[k][0] * Flux[j][0] + dXdx[k][1] * Flux[j][1] + dXdx[k][2] * Flux[j][2]); 253 } 254 } 255 256 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)}; 257 258 // -- Stabilization method: none (Galerkin), SU, or SUPG 259 CeedScalar Tau_d[3], stab[5][3], U_dot[5] = {0}, qi_dot[5]; 260 for (int j = 0; j < 5; j++) qi_dot[j] = q_dot[j][i]; 261 State s_dot = StateFromQ_fwd(context, s, qi_dot, state_var); 262 UnpackState_U(s_dot.U, U_dot); 263 264 for (CeedInt j = 0; j < 5; j++) v[j][i] = wdetJ * (U_dot[j] - body_force[j]); 265 if (context->idl_enable) { 266 const CeedScalar sigma = LinearRampCoefficient(context->idl_amplitude, context->idl_length, context->idl_start, x_i[0]); 267 StoredValuesPack(Q, i, 14, 1, &sigma, jac_data); 268 CeedScalar damp_state[5] = {s.Y.pressure - idl_pressure, 0, 0, 0, 0}, idl_residual[5] = {0.}; 269 InternalDampingLayer(context, s, sigma, damp_state, idl_residual); 270 for (int j = 0; j < 5; j++) v[j][i] += wdetJ * idl_residual[j]; 271 } 272 273 CeedScalar divFdiff_i[5] = {0.}; 274 if (use_divFdiff) { 275 for (int j = 1; j < 5; j++) divFdiff_i[j] = divFdiff[j - 1][i]; 276 } 277 Tau_diagPrim(context, s, dXdx, dt, Tau_d); 278 Stabilization(context, s, Tau_d, grad_s, U_dot, body_force, divFdiff_i, stab); 279 280 for (CeedInt j = 0; j < 5; j++) { 281 for (CeedInt k = 0; k < 3; k++) { 282 Grad_v[k][j][i] += wdetJ * (stab[j][0] * dXdx[k][0] + stab[j][1] * dXdx[k][1] + stab[j][2] * dXdx[k][2]); 283 } 284 } 285 StoredValuesPack(Q, i, 0, 5, qi, jac_data); 286 StoredValuesPack(Q, i, 5, 6, kmstress, jac_data); 287 StoredValuesPack(Q, i, 11, 3, Tau_d, jac_data); 288 } 289 return 0; 290 } 291 292 CEED_QFUNCTION(IFunction_Newtonian_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 293 return IFunction_Newtonian(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 294 } 295 296 CEED_QFUNCTION(IFunction_Newtonian_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 297 return IFunction_Newtonian(ctx, Q, in, out, STATEVAR_PRIMITIVE); 298 } 299 300 CEED_QFUNCTION(IFunction_Newtonian_Entropy)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 301 return IFunction_Newtonian(ctx, Q, in, out, STATEVAR_ENTROPY); 302 } 303 304 // ***************************************************************************** 305 // This QFunction implements the jacobian of the Navier-Stokes equations for implicit time stepping method. 306 // ***************************************************************************** 307 CEED_QFUNCTION_HELPER int IJacobian_Newtonian(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, StateVariable state_var) { 308 const CeedScalar(*dq)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 309 const CeedScalar(*Grad_dq) = in[1]; 310 const CeedScalar(*q_data) = in[2]; 311 const CeedScalar(*jac_data) = in[3]; 312 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 313 CeedScalar(*Grad_v)[5][CEED_Q_VLA] = (CeedScalar(*)[5][CEED_Q_VLA])out[1]; 314 315 NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 316 const CeedScalar *g = context->g; 317 318 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 319 CeedScalar wdetJ, dXdx[3][3]; 320 QdataUnpack_3D(Q, i, q_data, &wdetJ, dXdx); 321 322 CeedScalar qi[5], kmstress[6], Tau_d[3]; 323 StoredValuesUnpack(Q, i, 0, 5, jac_data, qi); 324 StoredValuesUnpack(Q, i, 5, 6, jac_data, kmstress); 325 StoredValuesUnpack(Q, i, 11, 3, jac_data, Tau_d); 326 State s = StateFromQ(context, qi, state_var); 327 328 CeedScalar dqi[5]; 329 for (int j = 0; j < 5; j++) dqi[j] = dq[j][i]; 330 State ds = StateFromQ_fwd(context, s, dqi, state_var); 331 332 State grad_ds[3]; 333 StatePhysicalGradientFromReference(Q, i, context, s, state_var, Grad_dq, dXdx, grad_ds); 334 335 CeedScalar dstrain_rate[6], dkmstress[6], stress[3][3], dstress[3][3], dFe[3]; 336 KMStrainRate_State(grad_ds, dstrain_rate); 337 NewtonianStress(context, dstrain_rate, dkmstress); 338 KMUnpack(dkmstress, dstress); 339 KMUnpack(kmstress, stress); 340 ViscousEnergyFlux_fwd(context, s.Y, ds.Y, grad_ds, stress, dstress, dFe); 341 342 StateConservative dF_inviscid[3]; 343 FluxInviscid_fwd(context, s, ds, dF_inviscid); 344 345 // Total flux 346 CeedScalar dFlux[5][3]; 347 FluxTotal(dF_inviscid, dstress, dFe, dFlux); 348 349 for (int j = 0; j < 5; j++) { 350 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]); 351 } 352 353 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)}; 354 CeedScalar dU[5] = {0.}; 355 UnpackState_U(ds.U, dU); 356 for (int j = 0; j < 5; j++) v[j][i] = wdetJ * (context->ijacobian_time_shift * dU[j] - dbody_force[j]); 357 358 if (context->idl_enable) { 359 const CeedScalar sigma = jac_data[14 * Q + i]; 360 CeedScalar damp_state[5] = {ds.Y.pressure, 0, 0, 0, 0}, idl_residual[5] = {0.}; 361 // This is a Picard-type linearization of the damping and could be replaced by an InternalDampingLayer_fwd that uses s and ds. 362 InternalDampingLayer(context, s, sigma, damp_state, idl_residual); 363 for (int j = 0; j < 5; j++) v[j][i] += wdetJ * idl_residual[j]; 364 } 365 366 // -- Stabilization method: none (Galerkin), SU, or SUPG 367 CeedScalar dstab[5][3], U_dot[5] = {0}; 368 for (CeedInt j = 0; j < 5; j++) U_dot[j] = context->ijacobian_time_shift * dU[j]; 369 const CeedScalar zeroFlux[5] = {0.}; 370 Stabilization(context, s, Tau_d, grad_ds, U_dot, dbody_force, zeroFlux, dstab); 371 372 for (int j = 0; j < 5; j++) { 373 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]); 374 } 375 } 376 return 0; 377 } 378 379 CEED_QFUNCTION(IJacobian_Newtonian_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 380 return IJacobian_Newtonian(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 381 } 382 383 CEED_QFUNCTION(IJacobian_Newtonian_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 384 return IJacobian_Newtonian(ctx, Q, in, out, STATEVAR_PRIMITIVE); 385 } 386 387 CEED_QFUNCTION(IJacobian_Newtonian_Entropy)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 388 return IJacobian_Newtonian(ctx, Q, in, out, STATEVAR_ENTROPY); 389 } 390 391 // ***************************************************************************** 392 // Compute boundary integral (ie. for strongly set inflows) 393 // ***************************************************************************** 394 CEED_QFUNCTION_HELPER int BoundaryIntegral(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, StateVariable state_var) { 395 const NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 396 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 397 const CeedScalar(*Grad_q) = in[1]; 398 const CeedScalar(*q_data_sur) = in[2]; 399 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 400 CeedScalar(*jac_data_sur) = context->is_implicit ? out[1] : NULL; 401 402 const bool is_implicit = context->is_implicit; 403 404 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 405 const CeedScalar qi[5] = {q[0][i], q[1][i], q[2][i], q[3][i], q[4][i]}; 406 State s = StateFromQ(context, qi, state_var); 407 408 CeedScalar wdetJb, dXdx[2][3], normal[3]; 409 QdataBoundaryUnpack_3D(Q, i, q_data_sur, &wdetJb, dXdx, normal); 410 wdetJb *= is_implicit ? -1. : 1.; 411 412 State grad_s[3]; 413 StatePhysicalGradientFromReference_Boundary(Q, i, context, s, state_var, Grad_q, dXdx, grad_s); 414 415 CeedScalar strain_rate[6], kmstress[6], stress[3][3], Fe[3]; 416 KMStrainRate_State(grad_s, strain_rate); 417 NewtonianStress(context, strain_rate, kmstress); 418 KMUnpack(kmstress, stress); 419 ViscousEnergyFlux(context, s.Y, grad_s, stress, Fe); 420 421 StateConservative F_inviscid[3]; 422 FluxInviscid(context, s, F_inviscid); 423 424 CeedScalar Flux[5]; 425 FluxTotal_Boundary(F_inviscid, stress, Fe, normal, Flux); 426 427 for (CeedInt j = 0; j < 5; j++) v[j][i] = -wdetJb * Flux[j]; 428 429 if (is_implicit) { 430 StoredValuesPack(Q, i, 0, 5, qi, jac_data_sur); 431 StoredValuesPack(Q, i, 5, 6, kmstress, jac_data_sur); 432 } 433 } 434 return 0; 435 } 436 437 CEED_QFUNCTION(BoundaryIntegral_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 438 return BoundaryIntegral(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 439 } 440 441 CEED_QFUNCTION(BoundaryIntegral_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 442 return BoundaryIntegral(ctx, Q, in, out, STATEVAR_PRIMITIVE); 443 } 444 445 CEED_QFUNCTION(BoundaryIntegral_Entropy)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 446 return BoundaryIntegral(ctx, Q, in, out, STATEVAR_ENTROPY); 447 } 448 449 // ***************************************************************************** 450 // Jacobian for "set nothing" boundary integral 451 // ***************************************************************************** 452 CEED_QFUNCTION_HELPER int BoundaryIntegral_Jacobian(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, 453 StateVariable state_var) { 454 const CeedScalar(*dq)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 455 const CeedScalar(*Grad_dq) = in[1]; 456 const CeedScalar(*q_data_sur) = in[2]; 457 const CeedScalar(*jac_data_sur) = in[4]; 458 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 459 460 const NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 461 const bool is_implicit = context->is_implicit; 462 463 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 464 CeedScalar wdetJb, dXdx[2][3], normal[3]; 465 QdataBoundaryUnpack_3D(Q, i, q_data_sur, &wdetJb, dXdx, normal); 466 wdetJb *= is_implicit ? -1. : 1.; 467 468 CeedScalar qi[5], kmstress[6], dqi[5]; 469 StoredValuesUnpack(Q, i, 0, 5, jac_data_sur, qi); 470 StoredValuesUnpack(Q, i, 5, 6, jac_data_sur, kmstress); 471 for (int j = 0; j < 5; j++) dqi[j] = dq[j][i]; 472 473 State s = StateFromQ(context, qi, state_var); 474 State ds = StateFromQ_fwd(context, s, dqi, state_var); 475 476 State grad_ds[3]; 477 StatePhysicalGradientFromReference_Boundary(Q, i, context, s, state_var, Grad_dq, dXdx, grad_ds); 478 479 CeedScalar dstrain_rate[6], dkmstress[6], stress[3][3], dstress[3][3], dFe[3]; 480 KMStrainRate_State(grad_ds, dstrain_rate); 481 NewtonianStress(context, dstrain_rate, dkmstress); 482 KMUnpack(dkmstress, dstress); 483 KMUnpack(kmstress, stress); 484 ViscousEnergyFlux_fwd(context, s.Y, ds.Y, grad_ds, stress, dstress, dFe); 485 486 StateConservative dF_inviscid[3]; 487 FluxInviscid_fwd(context, s, ds, dF_inviscid); 488 489 CeedScalar dFlux[5]; 490 FluxTotal_Boundary(dF_inviscid, dstress, dFe, normal, dFlux); 491 492 for (int j = 0; j < 5; j++) v[j][i] = -wdetJb * dFlux[j]; 493 } 494 return 0; 495 } 496 497 CEED_QFUNCTION(BoundaryIntegral_Jacobian_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 498 return BoundaryIntegral_Jacobian(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 499 } 500 501 CEED_QFUNCTION(BoundaryIntegral_Jacobian_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 502 return BoundaryIntegral_Jacobian(ctx, Q, in, out, STATEVAR_PRIMITIVE); 503 } 504 505 CEED_QFUNCTION(BoundaryIntegral_Jacobian_Entropy)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 506 return BoundaryIntegral_Jacobian(ctx, Q, in, out, STATEVAR_ENTROPY); 507 } 508 509 // @brief Volume integral for RHS of divergence of diffusive flux direct projection 510 CEED_QFUNCTION_HELPER int DivDiffusiveFluxVolumeRHS_NS(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, 511 StateVariable state_var) { 512 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 513 const CeedScalar(*Grad_q) = in[1]; 514 const CeedScalar(*q_data) = in[2]; 515 CeedScalar(*Grad_v)[4][CEED_Q_VLA] = (CeedScalar(*)[4][CEED_Q_VLA])out[0]; 516 517 const NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 518 const StateConservative ZeroInviscidFluxes[3] = {{0}}; 519 520 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 521 const CeedScalar qi[5] = {q[0][i], q[1][i], q[2][i], q[3][i], q[4][i]}; 522 const State s = StateFromQ(context, qi, state_var); 523 CeedScalar wdetJ, dXdx[3][3]; 524 CeedScalar stress[3][3], Fe[3], Fdiff[5][3]; 525 526 QdataUnpack_3D(Q, i, q_data, &wdetJ, dXdx); 527 { // Get stress and Fe 528 State grad_s[3]; 529 CeedScalar strain_rate[6], kmstress[6]; 530 531 StatePhysicalGradientFromReference(Q, i, context, s, state_var, Grad_q, dXdx, grad_s); 532 KMStrainRate_State(grad_s, strain_rate); 533 NewtonianStress(context, strain_rate, kmstress); 534 KMUnpack(kmstress, stress); 535 ViscousEnergyFlux(context, s.Y, grad_s, stress, Fe); 536 } 537 538 FluxTotal(ZeroInviscidFluxes, stress, Fe, Fdiff); 539 540 for (CeedInt j = 1; j < 5; j++) { // Continuity has no diffusive flux, therefore skip 541 for (CeedInt k = 0; k < 3; k++) { 542 Grad_v[k][j - 1][i] = -wdetJ * Dot3(dXdx[k], Fdiff[j]); 543 } 544 } 545 } 546 return 0; 547 } 548 549 CEED_QFUNCTION(DivDiffusiveFluxVolumeRHS_NS_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 550 return DivDiffusiveFluxVolumeRHS_NS(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 551 } 552 553 CEED_QFUNCTION(DivDiffusiveFluxVolumeRHS_NS_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 554 return DivDiffusiveFluxVolumeRHS_NS(ctx, Q, in, out, STATEVAR_PRIMITIVE); 555 } 556 557 CEED_QFUNCTION(DivDiffusiveFluxVolumeRHS_NS_Entropy)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 558 return DivDiffusiveFluxVolumeRHS_NS(ctx, Q, in, out, STATEVAR_ENTROPY); 559 } 560 561 // @brief Boundary integral for RHS of divergence of diffusive flux direct projection 562 CEED_QFUNCTION_HELPER int DivDiffusiveFluxBoundaryRHS_NS(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, 563 StateVariable state_var) { 564 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 565 const CeedScalar(*Grad_q) = in[1]; 566 const CeedScalar(*q_data) = in[2]; 567 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 568 569 const NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 570 const StateConservative ZeroInviscidFluxes[3] = {{0}}; 571 572 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 573 const CeedScalar qi[5] = {q[0][i], q[1][i], q[2][i], q[3][i], q[4][i]}; 574 const State s = StateFromQ(context, qi, state_var); 575 CeedScalar wdetJ, dXdx[3][3], normal[3]; 576 CeedScalar stress[3][3], Fe[3], Fdiff[5]; 577 578 QdataBoundaryGradientUnpack_3D(Q, i, q_data, &wdetJ, dXdx, normal); 579 { // Get stress and Fe 580 State grad_s[3]; 581 CeedScalar strain_rate[6], kmstress[6]; 582 583 StatePhysicalGradientFromReference(Q, i, context, s, state_var, Grad_q, dXdx, grad_s); 584 KMStrainRate_State(grad_s, strain_rate); 585 NewtonianStress(context, strain_rate, kmstress); 586 KMUnpack(kmstress, stress); 587 ViscousEnergyFlux(context, s.Y, grad_s, stress, Fe); 588 } 589 590 FluxTotal_Boundary(ZeroInviscidFluxes, stress, Fe, normal, Fdiff); 591 592 // Continuity has no diffusive flux, therefore skip 593 for (CeedInt j = 1; j < 5; j++) v[j - 1][i] = wdetJ * Fdiff[j]; 594 } 595 return 0; 596 } 597 598 CEED_QFUNCTION(DivDiffusiveFluxBoundaryRHS_NS_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 599 return DivDiffusiveFluxBoundaryRHS_NS(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 600 } 601 602 CEED_QFUNCTION(DivDiffusiveFluxBoundaryRHS_NS_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 603 return DivDiffusiveFluxBoundaryRHS_NS(ctx, Q, in, out, STATEVAR_PRIMITIVE); 604 } 605 606 CEED_QFUNCTION(DivDiffusiveFluxBoundaryRHS_NS_Entropy)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 607 return DivDiffusiveFluxBoundaryRHS_NS(ctx, Q, in, out, STATEVAR_ENTROPY); 608 } 609 610 // @brief Integral for RHS of diffusive flux indirect projection 611 CEED_QFUNCTION_HELPER int DiffusiveFluxRHS_NS(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, StateVariable state_var) { 612 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 613 const CeedScalar(*Grad_q) = in[1]; 614 const CeedScalar(*q_data) = in[2]; 615 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 616 617 const NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 618 const StateConservative ZeroInviscidFluxes[3] = {{0}}; 619 620 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 621 const CeedScalar qi[5] = {q[0][i], q[1][i], q[2][i], q[3][i], q[4][i]}; 622 const State s = StateFromQ(context, qi, state_var); 623 CeedScalar wdetJ, dXdx[3][3]; 624 CeedScalar stress[3][3], Fe[3], Fdiff[5][3]; 625 626 QdataUnpack_3D(Q, i, q_data, &wdetJ, dXdx); 627 { // Get stress and Fe 628 State grad_s[3]; 629 CeedScalar strain_rate[6], kmstress[6]; 630 631 StatePhysicalGradientFromReference(Q, i, context, s, state_var, Grad_q, dXdx, grad_s); 632 KMStrainRate_State(grad_s, strain_rate); 633 NewtonianStress(context, strain_rate, kmstress); 634 KMUnpack(kmstress, stress); 635 ViscousEnergyFlux(context, s.Y, grad_s, stress, Fe); 636 } 637 638 FluxTotal(ZeroInviscidFluxes, stress, Fe, Fdiff); 639 640 for (CeedInt j = 1; j < 5; j++) { // Continuity has no diffusive flux, therefore skip 641 for (CeedInt k = 0; k < 3; k++) { 642 v[(j - 1) * 3 + k][i] = wdetJ * Fdiff[j][k]; 643 } 644 } 645 } 646 return 0; 647 } 648 649 CEED_QFUNCTION(DiffusiveFluxRHS_NS_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 650 return DiffusiveFluxRHS_NS(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 651 } 652 653 CEED_QFUNCTION(DiffusiveFluxRHS_NS_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 654 return DiffusiveFluxRHS_NS(ctx, Q, in, out, STATEVAR_PRIMITIVE); 655 } 656 657 CEED_QFUNCTION(DiffusiveFluxRHS_NS_Entropy)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 658 return DiffusiveFluxRHS_NS(ctx, Q, in, out, STATEVAR_ENTROPY); 659 } 660