1 // Copyright (c) 2017-2022, 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 11 #ifndef newtonian_h 12 #define newtonian_h 13 14 #include <ceed.h> 15 #include <math.h> 16 #include <stdlib.h> 17 18 #include "newtonian_state.h" 19 #include "newtonian_types.h" 20 #include "stabilization.h" 21 #include "utils.h" 22 23 CEED_QFUNCTION_HELPER void InternalDampingLayer(const NewtonianIdealGasContext context, const State s, const CeedScalar x_i[3], CeedScalar damp_Y[5], 24 CeedScalar damp_residual[5]) { 25 const CeedScalar sigma = LinearRampCoefficient(context->idl_amplitude, context->idl_length, context->idl_start, x_i[0]); 26 ScaleN(damp_Y, sigma, 5); 27 CeedScalar dx_i[3] = {0}; 28 State damp_s = StateFromY_fwd(context, s, damp_Y, x_i, dx_i); 29 30 CeedScalar U[5]; 31 UnpackState_U(damp_s.U, U); 32 for (int i = 0; i < 5; i++) damp_residual[i] += U[i]; 33 } 34 35 // ***************************************************************************** 36 // This QFunction sets a "still" initial condition for generic Newtonian IG problems 37 // ***************************************************************************** 38 CEED_QFUNCTION_HELPER int ICsNewtonianIG(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, StateVariable state_var) { 39 // Inputs 40 const CeedScalar(*X)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 41 42 // Outputs 43 CeedScalar(*q0)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 44 45 // Context 46 const SetupContext context = (SetupContext)ctx; 47 48 // Quadrature Point Loop 49 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 50 CeedScalar x[3] = {X[0][i], X[1][i], X[2][i]}; 51 CeedScalar q[5] = {0.}; 52 State s = StateFromPrimitive(&context->gas, context->reference, x); 53 StateToQ(&context->gas, s, q, state_var); 54 for (CeedInt j = 0; j < 5; j++) q0[j][i] = q[j]; 55 } // End of Quadrature Point Loop 56 return 0; 57 } 58 59 CEED_QFUNCTION(ICsNewtonianIG_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 60 return ICsNewtonianIG(ctx, Q, in, out, STATEVAR_PRIMITIVE); 61 } 62 CEED_QFUNCTION(ICsNewtonianIG_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 63 return ICsNewtonianIG(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 64 } 65 66 // ***************************************************************************** 67 // This QFunction implements the following formulation of Navier-Stokes with explicit time stepping method 68 // 69 // This is 3D compressible Navier-Stokes in conservation form with state variables of density, momentum density, and total energy density. 70 // 71 // State Variables: q = ( rho, U1, U2, U3, E ) 72 // rho - Mass Density 73 // Ui - Momentum Density, Ui = rho ui 74 // E - Total Energy Density, E = rho (cv T + (u u)/2 + g z) 75 // 76 // Navier-Stokes Equations: 77 // drho/dt + div( U ) = 0 78 // dU/dt + div( rho (u x u) + P I3 ) + rho g khat = div( Fu ) 79 // dE/dt + div( (E + P) u ) = div( Fe ) 80 // 81 // Viscous Stress: 82 // Fu = mu (grad( u ) + grad( u )^T + lambda div ( u ) I3) 83 // 84 // Thermal Stress: 85 // Fe = u Fu + k grad( T ) 86 // Equation of State 87 // P = (gamma - 1) (E - rho (u u) / 2 - rho g z) 88 // 89 // Stabilization: 90 // Tau = diag(TauC, TauM, TauM, TauM, TauE) 91 // f1 = rho sqrt(ui uj gij) 92 // gij = dXi/dX * dXi/dX 93 // TauC = Cc f1 / (8 gii) 94 // TauM = min( 1 , 1 / f1 ) 95 // TauE = TauM / (Ce cv) 96 // 97 // SU = Galerkin + grad(v) . ( Ai^T * Tau * (Aj q,j) ) 98 // 99 // Constants: 100 // lambda = - 2 / 3, From Stokes hypothesis 101 // mu , Dynamic viscosity 102 // k , Thermal conductivity 103 // cv , Specific heat, constant volume 104 // cp , Specific heat, constant pressure 105 // g , Gravity 106 // gamma = cp / cv, Specific heat ratio 107 // 108 // 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 109 // gradu ) 110 // ***************************************************************************** 111 CEED_QFUNCTION(RHSFunction_Newtonian)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 112 // Inputs 113 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 114 const CeedScalar(*Grad_q) = in[1]; 115 const CeedScalar(*q_data) = in[2]; 116 const CeedScalar(*x)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[3]; 117 118 // Outputs 119 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 120 CeedScalar(*Grad_v)[5][CEED_Q_VLA] = (CeedScalar(*)[5][CEED_Q_VLA])out[1]; 121 122 // Context 123 NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 124 const CeedScalar *g = context->g; 125 const CeedScalar dt = context->dt; 126 127 // Quadrature Point Loop 128 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 129 CeedScalar U[5], wdetJ, dXdx[3][3]; 130 for (int j = 0; j < 5; j++) U[j] = q[j][i]; 131 StoredValuesUnpack(Q, i, 0, 1, q_data, &wdetJ); 132 StoredValuesUnpack(Q, i, 1, 9, q_data, (CeedScalar *)dXdx); 133 const CeedScalar x_i[3] = {x[0][i], x[1][i], x[2][i]}; 134 State s = StateFromU(context, U, x_i); 135 136 State grad_s[3]; 137 StatePhysicalGradientFromReference(Q, i, context, s, x_i, STATEVAR_CONSERVATIVE, Grad_q, dXdx, false, grad_s); 138 139 CeedScalar strain_rate[6], kmstress[6], stress[3][3], Fe[3]; 140 KMStrainRate_State(grad_s, strain_rate); 141 NewtonianStress(context, strain_rate, kmstress); 142 KMUnpack(kmstress, stress); 143 ViscousEnergyFlux(context, s.Y, grad_s, stress, Fe); 144 145 StateConservative F_inviscid[3]; 146 FluxInviscid(context, s, F_inviscid); 147 148 // Total flux 149 CeedScalar Flux[5][3]; 150 FluxTotal(F_inviscid, stress, Fe, Flux); 151 152 for (CeedInt j = 0; j < 5; j++) { 153 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]); 154 } 155 156 const CeedScalar body_force[5] = {0, s.U.density * g[0], s.U.density * g[1], s.U.density * g[2], 0}; 157 for (int j = 0; j < 5; j++) v[j][i] = wdetJ * body_force[j]; 158 159 // -- Stabilization method: none (Galerkin), SU, or SUPG 160 CeedScalar Tau_d[3], stab[5][3], U_dot[5] = {0}; 161 Tau_diagPrim(context, s, dXdx, dt, Tau_d); 162 Stabilization(context, s, Tau_d, grad_s, U_dot, body_force, x_i, stab); 163 164 for (CeedInt j = 0; j < 5; j++) { 165 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]); 166 } 167 } // End Quadrature Point Loop 168 169 // Return 170 return 0; 171 } 172 173 // ***************************************************************************** 174 // This QFunction implements the Navier-Stokes equations (mentioned above) with implicit time stepping method 175 // 176 // SU = Galerkin + grad(v) . ( Ai^T * Tau * (Aj q,j) ) 177 // SUPG = Galerkin + grad(v) . ( Ai^T * Tau * (q_dot + Aj q,j - body force) ) 178 // (diffusive terms will be added later) 179 // ***************************************************************************** 180 CEED_QFUNCTION_HELPER int IFunction_Newtonian(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, StateVariable state_var) { 181 // Inputs 182 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 183 const CeedScalar(*Grad_q) = in[1]; 184 const CeedScalar(*q_dot)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[2]; 185 const CeedScalar(*q_data) = in[3]; 186 const CeedScalar(*x)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[4]; 187 188 // Outputs 189 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 190 CeedScalar(*Grad_v)[5][CEED_Q_VLA] = (CeedScalar(*)[5][CEED_Q_VLA])out[1]; 191 CeedScalar(*jac_data) = out[2]; 192 193 // Context 194 NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 195 const CeedScalar *g = context->g; 196 const CeedScalar dt = context->dt; 197 const CeedScalar P0 = context->P0; 198 199 // Quadrature Point Loop 200 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 201 const CeedScalar qi[5] = {q[0][i], q[1][i], q[2][i], q[3][i], q[4][i]}; 202 const CeedScalar x_i[3] = {x[0][i], x[1][i], x[2][i]}; 203 const State s = StateFromQ(context, qi, x_i, state_var); 204 205 CeedScalar wdetJ, dXdx[3][3]; 206 QdataUnpack_3D(Q, i, q_data, &wdetJ, dXdx); 207 State grad_s[3]; 208 StatePhysicalGradientFromReference(Q, i, context, s, x_i, state_var, Grad_q, dXdx, false, grad_s); 209 210 CeedScalar strain_rate[6], kmstress[6], stress[3][3], Fe[3]; 211 KMStrainRate_State(grad_s, strain_rate); 212 NewtonianStress(context, strain_rate, kmstress); 213 KMUnpack(kmstress, stress); 214 ViscousEnergyFlux(context, s.Y, grad_s, stress, Fe); 215 216 StateConservative F_inviscid[3]; 217 FluxInviscid(context, s, F_inviscid); 218 219 // Total flux 220 CeedScalar Flux[5][3]; 221 FluxTotal(F_inviscid, stress, Fe, Flux); 222 223 for (CeedInt j = 0; j < 5; j++) { 224 for (CeedInt k = 0; k < 3; k++) { 225 Grad_v[k][j][i] = -wdetJ * (dXdx[k][0] * Flux[j][0] + dXdx[k][1] * Flux[j][1] + dXdx[k][2] * Flux[j][2]); 226 } 227 } 228 229 const CeedScalar body_force[5] = {0, s.U.density * g[0], s.U.density * g[1], s.U.density * g[2], 0}; 230 231 // -- Stabilization method: none (Galerkin), SU, or SUPG 232 CeedScalar Tau_d[3], stab[5][3], U_dot[5] = {0}, qi_dot[5], dx0[3] = {0}; 233 for (int j = 0; j < 5; j++) qi_dot[j] = q_dot[j][i]; 234 State s_dot = StateFromQ_fwd(context, s, qi_dot, x_i, dx0, state_var); 235 UnpackState_U(s_dot.U, U_dot); 236 237 for (CeedInt j = 0; j < 5; j++) v[j][i] = wdetJ * (U_dot[j] - body_force[j]); 238 if (context->idl_enable) { 239 CeedScalar damp_state[5] = {s.Y.pressure - P0, 0, 0, 0, 0}, idl_residual[5] = {0.}; 240 InternalDampingLayer(context, s, x_i, damp_state, idl_residual); 241 for (int j = 0; j < 5; j++) v[j][i] += wdetJ * idl_residual[j]; 242 } 243 244 Tau_diagPrim(context, s, dXdx, dt, Tau_d); 245 Stabilization(context, s, Tau_d, grad_s, U_dot, body_force, x_i, stab); 246 247 for (CeedInt j = 0; j < 5; j++) { 248 for (CeedInt k = 0; k < 3; k++) { 249 Grad_v[k][j][i] += wdetJ * (stab[j][0] * dXdx[k][0] + stab[j][1] * dXdx[k][1] + stab[j][2] * dXdx[k][2]); 250 } 251 } 252 StoredValuesPack(Q, i, 0, 5, qi, jac_data); 253 StoredValuesPack(Q, i, 5, 6, kmstress, jac_data); 254 StoredValuesPack(Q, i, 11, 3, Tau_d, jac_data); 255 256 } // End Quadrature Point Loop 257 258 // Return 259 return 0; 260 } 261 262 CEED_QFUNCTION(IFunction_Newtonian_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 263 return IFunction_Newtonian(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 264 } 265 266 CEED_QFUNCTION(IFunction_Newtonian_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 267 return IFunction_Newtonian(ctx, Q, in, out, STATEVAR_PRIMITIVE); 268 } 269 270 // ***************************************************************************** 271 // This QFunction implements the jacobian of the Navier-Stokes equations for implicit time stepping method. 272 // ***************************************************************************** 273 CEED_QFUNCTION_HELPER int IJacobian_Newtonian(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, StateVariable state_var) { 274 // Inputs 275 const CeedScalar(*dq)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 276 const CeedScalar(*Grad_dq) = in[1]; 277 const CeedScalar(*q_data) = in[2]; 278 const CeedScalar(*x)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[3]; 279 const CeedScalar(*jac_data) = in[4]; 280 281 // Outputs 282 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 283 CeedScalar(*Grad_v)[5][CEED_Q_VLA] = (CeedScalar(*)[5][CEED_Q_VLA])out[1]; 284 285 // Context 286 NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 287 const CeedScalar *g = context->g; 288 289 // Quadrature Point Loop 290 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 291 CeedScalar wdetJ, dXdx[3][3]; 292 QdataUnpack_3D(Q, i, q_data, &wdetJ, dXdx); 293 294 CeedScalar qi[5], kmstress[6], Tau_d[3]; 295 StoredValuesUnpack(Q, i, 0, 5, jac_data, qi); 296 StoredValuesUnpack(Q, i, 5, 6, jac_data, kmstress); 297 StoredValuesUnpack(Q, i, 11, 3, jac_data, Tau_d); 298 const CeedScalar x_i[3] = {x[0][i], x[1][i], x[2][i]}; 299 State s = StateFromQ(context, qi, x_i, state_var); 300 301 CeedScalar dqi[5], dx0[3] = {0}; 302 for (int j = 0; j < 5; j++) dqi[j] = dq[j][i]; 303 State ds = StateFromQ_fwd(context, s, dqi, x_i, dx0, state_var); 304 305 State grad_ds[3]; 306 StatePhysicalGradientFromReference(Q, i, context, s, x_i, state_var, Grad_dq, dXdx, true, grad_ds); 307 308 CeedScalar dstrain_rate[6], dkmstress[6], stress[3][3], dstress[3][3], dFe[3]; 309 KMStrainRate_State(grad_ds, dstrain_rate); 310 NewtonianStress(context, dstrain_rate, dkmstress); 311 KMUnpack(dkmstress, dstress); 312 KMUnpack(kmstress, stress); 313 ViscousEnergyFlux_fwd(context, s.Y, ds.Y, grad_ds, stress, dstress, dFe); 314 315 StateConservative dF_inviscid[3]; 316 FluxInviscid_fwd(context, s, ds, dF_inviscid); 317 318 // Total flux 319 CeedScalar dFlux[5][3]; 320 FluxTotal(dF_inviscid, dstress, dFe, dFlux); 321 322 for (int j = 0; j < 5; j++) { 323 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]); 324 } 325 326 const CeedScalar dbody_force[5] = {0, ds.U.density * g[0], ds.U.density * g[1], ds.U.density * g[2], 0}; 327 CeedScalar dU[5] = {0.}; 328 UnpackState_U(ds.U, dU); 329 for (int j = 0; j < 5; j++) v[j][i] = wdetJ * (context->ijacobian_time_shift * dU[j] - dbody_force[j]); 330 331 if (context->idl_enable) { 332 CeedScalar damp_state[5] = {ds.Y.pressure, 0, 0, 0, 0}, idl_residual[5] = {0.}; 333 // This is a Picard-type linearization of the damping and could be replaced by an InternalDampingLayer_fwd that uses s and ds. 334 InternalDampingLayer(context, s, x_i, damp_state, idl_residual); 335 for (int j = 0; j < 5; j++) v[j][i] += wdetJ * idl_residual[j]; 336 } 337 338 // -- Stabilization method: none (Galerkin), SU, or SUPG 339 CeedScalar dstab[5][3], U_dot[5] = {0}; 340 for (CeedInt j = 0; j < 5; j++) U_dot[j] = context->ijacobian_time_shift * dU[j]; 341 Stabilization(context, s, Tau_d, grad_ds, U_dot, dbody_force, x_i, dstab); 342 343 for (int j = 0; j < 5; j++) { 344 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]); 345 } 346 } // End Quadrature Point Loop 347 return 0; 348 } 349 350 CEED_QFUNCTION(IJacobian_Newtonian_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 351 return IJacobian_Newtonian(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 352 } 353 354 CEED_QFUNCTION(IJacobian_Newtonian_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 355 return IJacobian_Newtonian(ctx, Q, in, out, STATEVAR_PRIMITIVE); 356 } 357 358 // ***************************************************************************** 359 // Compute boundary integral (ie. for strongly set inflows) 360 // ***************************************************************************** 361 CEED_QFUNCTION_HELPER int BoundaryIntegral(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, StateVariable state_var) { 362 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 363 const CeedScalar(*Grad_q) = in[1]; 364 const CeedScalar(*q_data_sur) = in[2]; 365 const CeedScalar(*x)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[3]; 366 367 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 368 CeedScalar(*jac_data_sur) = out[1]; 369 370 const NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 371 const bool is_implicit = context->is_implicit; 372 373 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 374 const CeedScalar x_i[3] = {x[0][i], x[1][i], x[2][i]}; 375 const CeedScalar qi[5] = {q[0][i], q[1][i], q[2][i], q[3][i], q[4][i]}; 376 State s = StateFromQ(context, qi, x_i, state_var); 377 378 CeedScalar wdetJb, dXdx[2][3], norm[3]; 379 QdataBoundaryUnpack_3D(Q, i, q_data_sur, &wdetJb, dXdx, norm); 380 wdetJb *= is_implicit ? -1. : 1.; 381 382 State grad_s[3]; 383 StatePhysicalGradientFromReference_Boundary(Q, i, context, s, x_i, state_var, Grad_q, dXdx, false, grad_s); 384 385 CeedScalar strain_rate[6], kmstress[6], stress[3][3], Fe[3]; 386 KMStrainRate_State(grad_s, strain_rate); 387 NewtonianStress(context, strain_rate, kmstress); 388 KMUnpack(kmstress, stress); 389 ViscousEnergyFlux(context, s.Y, grad_s, stress, Fe); 390 391 StateConservative F_inviscid[3]; 392 FluxInviscid(context, s, F_inviscid); 393 394 CeedScalar Flux[5]; 395 FluxTotal_Boundary(F_inviscid, stress, Fe, norm, Flux); 396 397 for (CeedInt j = 0; j < 5; j++) v[j][i] = -wdetJb * Flux[j]; 398 399 StoredValuesPack(Q, i, 0, 5, qi, jac_data_sur); 400 StoredValuesPack(Q, i, 5, 6, kmstress, jac_data_sur); 401 } 402 return 0; 403 } 404 405 CEED_QFUNCTION(BoundaryIntegral_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 406 return BoundaryIntegral(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 407 } 408 409 CEED_QFUNCTION(BoundaryIntegral_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 410 return BoundaryIntegral(ctx, Q, in, out, STATEVAR_PRIMITIVE); 411 } 412 413 // ***************************************************************************** 414 // Jacobian for "set nothing" boundary integral 415 // ***************************************************************************** 416 CEED_QFUNCTION_HELPER int BoundaryIntegral_Jacobian(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, 417 StateVariable state_var) { 418 // Inputs 419 const CeedScalar(*dq)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 420 const CeedScalar(*Grad_dq) = in[1]; 421 const CeedScalar(*q_data_sur) = in[2]; 422 const CeedScalar(*x)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[3]; 423 const CeedScalar(*jac_data_sur) = in[4]; 424 425 // Outputs 426 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 427 428 const NewtonianIdealGasContext context = (NewtonianIdealGasContext)ctx; 429 const bool is_implicit = context->is_implicit; 430 431 // Quadrature Point Loop 432 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 433 const CeedScalar x_i[3] = {x[0][i], x[1][i], x[2][i]}; 434 CeedScalar wdetJb, dXdx[2][3], norm[3]; 435 QdataBoundaryUnpack_3D(Q, i, q_data_sur, &wdetJb, dXdx, norm); 436 wdetJb *= is_implicit ? -1. : 1.; 437 438 CeedScalar qi[5], kmstress[6], dqi[5], dx_i[3] = {0.}; 439 StoredValuesUnpack(Q, i, 0, 5, jac_data_sur, qi); 440 StoredValuesUnpack(Q, i, 5, 6, jac_data_sur, kmstress); 441 for (int j = 0; j < 5; j++) dqi[j] = dq[j][i]; 442 443 State s = StateFromQ(context, qi, x_i, state_var); 444 State ds = StateFromQ_fwd(context, s, dqi, x_i, dx_i, state_var); 445 446 State grad_ds[3]; 447 StatePhysicalGradientFromReference_Boundary(Q, i, context, s, x_i, state_var, Grad_dq, dXdx, false, grad_ds); 448 449 CeedScalar dstrain_rate[6], dkmstress[6], stress[3][3], dstress[3][3], dFe[3]; 450 KMStrainRate_State(grad_ds, dstrain_rate); 451 NewtonianStress(context, dstrain_rate, dkmstress); 452 KMUnpack(dkmstress, dstress); 453 KMUnpack(kmstress, stress); 454 ViscousEnergyFlux_fwd(context, s.Y, ds.Y, grad_ds, stress, dstress, dFe); 455 456 StateConservative dF_inviscid[3]; 457 FluxInviscid_fwd(context, s, ds, dF_inviscid); 458 459 CeedScalar dFlux[5]; 460 FluxTotal_Boundary(dF_inviscid, dstress, dFe, norm, dFlux); 461 462 for (int j = 0; j < 5; j++) v[j][i] = -wdetJb * dFlux[j]; 463 } // End Quadrature Point Loop 464 return 0; 465 } 466 467 CEED_QFUNCTION(BoundaryIntegral_Jacobian_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 468 return BoundaryIntegral_Jacobian(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 469 } 470 471 CEED_QFUNCTION(BoundaryIntegral_Jacobian_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 472 return BoundaryIntegral_Jacobian(ctx, Q, in, out, STATEVAR_PRIMITIVE); 473 } 474 475 #endif // newtonian_h 476