1*ae2b091fSJames Wright // SPDX-FileCopyrightText: Copyright (c) 2017-2024, HONEE contributors. 2*ae2b091fSJames Wright // SPDX-License-Identifier: Apache-2.0 OR BSD-2-Clause 39ed3d70dSJames Wright 49ed3d70dSJames Wright /// @file 59ed3d70dSJames Wright /// QFunctions for the `bc_freestream` and `bc_outflow` boundary conditions 69ed3d70dSJames Wright #include "bc_freestream_type.h" 79ed3d70dSJames Wright #include "newtonian_state.h" 89ed3d70dSJames Wright #include "newtonian_types.h" 99ed3d70dSJames Wright #include "riemann_solver.h" 109ed3d70dSJames Wright 119ed3d70dSJames Wright // ***************************************************************************** 129ed3d70dSJames Wright // Freestream Boundary Condition 139ed3d70dSJames Wright // ***************************************************************************** 149ed3d70dSJames Wright CEED_QFUNCTION_HELPER int Freestream(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, StateVariable state_var, 159ed3d70dSJames Wright RiemannFluxType flux_type) { 164b96a86bSJames Wright const FreestreamContext context = (FreestreamContext)ctx; 179ed3d70dSJames Wright const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 189ed3d70dSJames Wright const CeedScalar(*q_data_sur) = in[2]; 199ed3d70dSJames Wright CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 204b96a86bSJames Wright CeedScalar(*jac_data_sur) = context->newtonian_ctx.is_implicit ? out[1] : NULL; 219ed3d70dSJames Wright 229ed3d70dSJames Wright const NewtonianIdealGasContext newt_ctx = &context->newtonian_ctx; 239ed3d70dSJames Wright const bool is_implicit = newt_ctx->is_implicit; 249ed3d70dSJames Wright 259ed3d70dSJames Wright CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 269ed3d70dSJames Wright const CeedScalar qi[5] = {q[0][i], q[1][i], q[2][i], q[3][i], q[4][i]}; 274b96a86bSJames Wright const State s = StateFromQ(newt_ctx, qi, state_var); 289ed3d70dSJames Wright 29feb491a7SJames Wright CeedScalar wdetJb, normal[3]; 30feb491a7SJames Wright QdataBoundaryUnpack_3D(Q, i, q_data_sur, &wdetJb, NULL, normal); 319ed3d70dSJames Wright wdetJb *= is_implicit ? -1. : 1.; 329ed3d70dSJames Wright 339ed3d70dSJames Wright StateConservative flux; 349ed3d70dSJames Wright switch (flux_type) { 359ed3d70dSJames Wright case RIEMANN_HLL: 36feb491a7SJames Wright flux = RiemannFlux_HLL(newt_ctx, s, context->S_infty, normal); 379ed3d70dSJames Wright break; 389ed3d70dSJames Wright case RIEMANN_HLLC: 39feb491a7SJames Wright flux = RiemannFlux_HLLC(newt_ctx, s, context->S_infty, normal); 409ed3d70dSJames Wright break; 419ed3d70dSJames Wright } 429ed3d70dSJames Wright CeedScalar Flux[5]; 439ed3d70dSJames Wright UnpackState_U(flux, Flux); 449ed3d70dSJames Wright for (CeedInt j = 0; j < 5; j++) v[j][i] = -wdetJb * Flux[j]; 459ed3d70dSJames Wright 464b96a86bSJames Wright if (is_implicit) { 474b96a86bSJames Wright CeedScalar zeros[6] = {0.}; 489ed3d70dSJames Wright StoredValuesPack(Q, i, 0, 5, qi, jac_data_sur); 499ed3d70dSJames Wright StoredValuesPack(Q, i, 5, 6, zeros, jac_data_sur); // Every output value must be set 509ed3d70dSJames Wright } 514b96a86bSJames Wright } 529ed3d70dSJames Wright return 0; 539ed3d70dSJames Wright } 549ed3d70dSJames Wright 559ed3d70dSJames Wright CEED_QFUNCTION(Freestream_Conserv_HLL)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 569ed3d70dSJames Wright return Freestream(ctx, Q, in, out, STATEVAR_CONSERVATIVE, RIEMANN_HLL); 579ed3d70dSJames Wright } 589ed3d70dSJames Wright 599ed3d70dSJames Wright CEED_QFUNCTION(Freestream_Prim_HLL)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 609ed3d70dSJames Wright return Freestream(ctx, Q, in, out, STATEVAR_PRIMITIVE, RIEMANN_HLL); 619ed3d70dSJames Wright } 629ed3d70dSJames Wright 639b103f75SJames Wright CEED_QFUNCTION(Freestream_Entropy_HLL)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 649b103f75SJames Wright return Freestream(ctx, Q, in, out, STATEVAR_ENTROPY, RIEMANN_HLL); 659b103f75SJames Wright } 669b103f75SJames Wright 679ed3d70dSJames Wright CEED_QFUNCTION(Freestream_Conserv_HLLC)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 689ed3d70dSJames Wright return Freestream(ctx, Q, in, out, STATEVAR_CONSERVATIVE, RIEMANN_HLLC); 699ed3d70dSJames Wright } 709ed3d70dSJames Wright 719ed3d70dSJames Wright CEED_QFUNCTION(Freestream_Prim_HLLC)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 729ed3d70dSJames Wright return Freestream(ctx, Q, in, out, STATEVAR_PRIMITIVE, RIEMANN_HLLC); 739ed3d70dSJames Wright } 749ed3d70dSJames Wright 759b103f75SJames Wright CEED_QFUNCTION(Freestream_Entropy_HLLC)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 769b103f75SJames Wright return Freestream(ctx, Q, in, out, STATEVAR_ENTROPY, RIEMANN_HLLC); 779b103f75SJames Wright } 789b103f75SJames Wright 799ed3d70dSJames Wright CEED_QFUNCTION_HELPER int Freestream_Jacobian(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, StateVariable state_var, 809ed3d70dSJames Wright RiemannFluxType flux_type) { 819ed3d70dSJames Wright const CeedScalar(*dq)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 829ed3d70dSJames Wright const CeedScalar(*q_data_sur) = in[2]; 839ed3d70dSJames Wright const CeedScalar(*jac_data_sur) = in[4]; 849ed3d70dSJames Wright 859ed3d70dSJames Wright CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 869ed3d70dSJames Wright 879ed3d70dSJames Wright const FreestreamContext context = (FreestreamContext)ctx; 889ed3d70dSJames Wright const NewtonianIdealGasContext newt_ctx = &context->newtonian_ctx; 899ed3d70dSJames Wright const bool is_implicit = newt_ctx->is_implicit; 909ed3d70dSJames Wright const State dS_infty = {0}; 919ed3d70dSJames Wright 929ed3d70dSJames Wright CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 93feb491a7SJames Wright CeedScalar wdetJb, normal[3]; 94feb491a7SJames Wright QdataBoundaryUnpack_3D(Q, i, q_data_sur, &wdetJb, NULL, normal); 959ed3d70dSJames Wright wdetJb *= is_implicit ? -1. : 1.; 969ed3d70dSJames Wright 979ed3d70dSJames Wright CeedScalar qi[5], dqi[5]; 989ed3d70dSJames Wright StoredValuesUnpack(Q, i, 0, 5, jac_data_sur, qi); 999ed3d70dSJames Wright for (int j = 0; j < 5; j++) dqi[j] = dq[j][i]; 1009ed3d70dSJames Wright State s = StateFromQ(newt_ctx, qi, state_var); 1019ed3d70dSJames Wright State ds = StateFromQ_fwd(newt_ctx, s, dqi, state_var); 1029ed3d70dSJames Wright 1039ed3d70dSJames Wright StateConservative dflux; 1049ed3d70dSJames Wright switch (flux_type) { 1059ed3d70dSJames Wright case RIEMANN_HLL: 106feb491a7SJames Wright dflux = RiemannFlux_HLL_fwd(newt_ctx, s, ds, context->S_infty, dS_infty, normal); 1079ed3d70dSJames Wright break; 1089ed3d70dSJames Wright case RIEMANN_HLLC: 109feb491a7SJames Wright dflux = RiemannFlux_HLLC_fwd(newt_ctx, s, ds, context->S_infty, dS_infty, normal); 1109ed3d70dSJames Wright break; 1119ed3d70dSJames Wright } 1129ed3d70dSJames Wright CeedScalar dFlux[5]; 1139ed3d70dSJames Wright UnpackState_U(dflux, dFlux); 1149ed3d70dSJames Wright for (CeedInt j = 0; j < 5; j++) v[j][i] = -wdetJb * dFlux[j]; 1159ed3d70dSJames Wright } 1169ed3d70dSJames Wright return 0; 1179ed3d70dSJames Wright } 1189ed3d70dSJames Wright 1199ed3d70dSJames Wright CEED_QFUNCTION(Freestream_Jacobian_Conserv_HLL)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 1209ed3d70dSJames Wright return Freestream_Jacobian(ctx, Q, in, out, STATEVAR_CONSERVATIVE, RIEMANN_HLL); 1219ed3d70dSJames Wright } 1229ed3d70dSJames Wright 1239ed3d70dSJames Wright CEED_QFUNCTION(Freestream_Jacobian_Prim_HLL)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 1249ed3d70dSJames Wright return Freestream_Jacobian(ctx, Q, in, out, STATEVAR_PRIMITIVE, RIEMANN_HLL); 1259ed3d70dSJames Wright } 1269ed3d70dSJames Wright 1279b103f75SJames Wright CEED_QFUNCTION(Freestream_Jacobian_Entropy_HLL)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 1289b103f75SJames Wright return Freestream_Jacobian(ctx, Q, in, out, STATEVAR_ENTROPY, RIEMANN_HLL); 1299b103f75SJames Wright } 1309b103f75SJames Wright 1319ed3d70dSJames Wright CEED_QFUNCTION(Freestream_Jacobian_Conserv_HLLC)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 1329ed3d70dSJames Wright return Freestream_Jacobian(ctx, Q, in, out, STATEVAR_CONSERVATIVE, RIEMANN_HLLC); 1339ed3d70dSJames Wright } 1349ed3d70dSJames Wright 1359ed3d70dSJames Wright CEED_QFUNCTION(Freestream_Jacobian_Prim_HLLC)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 1369ed3d70dSJames Wright return Freestream_Jacobian(ctx, Q, in, out, STATEVAR_PRIMITIVE, RIEMANN_HLLC); 1379ed3d70dSJames Wright } 1389ed3d70dSJames Wright 1399b103f75SJames Wright CEED_QFUNCTION(Freestream_Jacobian_Entropy_HLLC)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 1409b103f75SJames Wright return Freestream_Jacobian(ctx, Q, in, out, STATEVAR_ENTROPY, RIEMANN_HLLC); 1419b103f75SJames Wright } 1429b103f75SJames Wright 1439ed3d70dSJames Wright // Note the identity 1449ed3d70dSJames Wright // 1459ed3d70dSJames Wright // softplus(x) - x = log(1 + exp(x)) - x 1469ed3d70dSJames Wright // = log(1 + exp(x)) + log(exp(-x)) 1479ed3d70dSJames Wright // = log((1 + exp(x)) * exp(-x)) 1489ed3d70dSJames Wright // = log(exp(-x) + 1) 1499ed3d70dSJames Wright // = softplus(-x) 1509ed3d70dSJames Wright CEED_QFUNCTION_HELPER CeedScalar Softplus(CeedScalar x, CeedScalar width) { 1519ed3d70dSJames Wright if (x > 40 * width) return x; 1529ed3d70dSJames Wright return width * log1p(exp(x / width)); 1539ed3d70dSJames Wright } 1549ed3d70dSJames Wright 1559ed3d70dSJames Wright CEED_QFUNCTION_HELPER CeedScalar Softplus_fwd(CeedScalar x, CeedScalar dx, CeedScalar width) { 1569ed3d70dSJames Wright if (x > 40 * width) return 1; 1579ed3d70dSJames Wright const CeedScalar t = exp(x / width); 1589ed3d70dSJames Wright return t / (1 + t); 1599ed3d70dSJames Wright } 1609ed3d70dSJames Wright 1619ed3d70dSJames Wright // Viscous Outflow boundary condition, setting a constant exterior pressure and 1629ed3d70dSJames Wright // temperature as input for a Riemann solve. This condition is stable even in 1639ed3d70dSJames Wright // recirculating flow so long as the exterior temperature is sensible. 1649ed3d70dSJames Wright // 1659ed3d70dSJames Wright // The velocity in the exterior state has optional softplus regularization to 1669ed3d70dSJames Wright // keep it outflow. These parameters have been finnicky in practice and provide 1679ed3d70dSJames Wright // little or no benefit in the tests we've run thus far, thus we recommend 1689ed3d70dSJames Wright // skipping this feature and just allowing recirculation. 1699ed3d70dSJames Wright CEED_QFUNCTION_HELPER int RiemannOutflow(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, StateVariable state_var) { 1704b96a86bSJames Wright const OutflowContext outflow = (OutflowContext)ctx; 1719ed3d70dSJames Wright const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 1729ed3d70dSJames Wright const CeedScalar(*Grad_q) = in[1]; 1739ed3d70dSJames Wright const CeedScalar(*q_data_sur) = in[2]; 1749ed3d70dSJames Wright CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 1754b96a86bSJames Wright CeedScalar(*jac_data_sur) = outflow->gas.is_implicit ? out[1] : NULL; 1769ed3d70dSJames Wright 1779ed3d70dSJames Wright const NewtonianIdealGasContext gas = &outflow->gas; 1789ed3d70dSJames Wright const bool is_implicit = gas->is_implicit; 1799ed3d70dSJames Wright 1809ed3d70dSJames Wright CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 181feb491a7SJames Wright CeedScalar wdetJb, dXdx[2][3], normal[3]; 182feb491a7SJames Wright QdataBoundaryUnpack_3D(Q, i, q_data_sur, &wdetJb, dXdx, normal); 1839ed3d70dSJames Wright wdetJb *= is_implicit ? -1. : 1.; 1849ed3d70dSJames Wright const CeedScalar qi[5] = {q[0][i], q[1][i], q[2][i], q[3][i], q[4][i]}; 1854b96a86bSJames Wright const State s_int = StateFromQ(gas, qi, state_var); 1869ed3d70dSJames Wright 1879ed3d70dSJames Wright StatePrimitive y_ext = s_int.Y; 1889ed3d70dSJames Wright y_ext.pressure = outflow->pressure; 1899ed3d70dSJames Wright y_ext.temperature = outflow->temperature; 190feb491a7SJames Wright const CeedScalar u_normal = Dot3(y_ext.velocity, normal); 1919ed3d70dSJames Wright const CeedScalar proj = (1 - outflow->recirc) * Softplus(-u_normal, outflow->softplus_velocity); 1929ed3d70dSJames Wright for (CeedInt j = 0; j < 3; j++) { 193feb491a7SJames Wright y_ext.velocity[j] += normal[j] * proj; // (I - n n^T) projects into the plane tangent to the normal 1949ed3d70dSJames Wright } 1959ed3d70dSJames Wright State s_ext = StateFromPrimitive(gas, y_ext); 1969ed3d70dSJames Wright 1979ed3d70dSJames Wright State grad_s[3]; 1989ed3d70dSJames Wright StatePhysicalGradientFromReference_Boundary(Q, i, gas, s_int, state_var, Grad_q, dXdx, grad_s); 1999ed3d70dSJames Wright 2009ed3d70dSJames Wright CeedScalar strain_rate[6], kmstress[6], stress[3][3], Fe[3]; 2019ed3d70dSJames Wright KMStrainRate_State(grad_s, strain_rate); 2029ed3d70dSJames Wright NewtonianStress(gas, strain_rate, kmstress); 2039ed3d70dSJames Wright KMUnpack(kmstress, stress); 2049ed3d70dSJames Wright ViscousEnergyFlux(gas, s_int.Y, grad_s, stress, Fe); 2059ed3d70dSJames Wright 206feb491a7SJames Wright StateConservative F_inviscid_normal = RiemannFlux_HLLC(gas, s_int, s_ext, normal); 2079ed3d70dSJames Wright 2089ed3d70dSJames Wright CeedScalar Flux[5]; 209feb491a7SJames Wright FluxTotal_RiemannBoundary(F_inviscid_normal, stress, Fe, normal, Flux); 2109ed3d70dSJames Wright 2119ed3d70dSJames Wright for (CeedInt j = 0; j < 5; j++) v[j][i] = -wdetJb * Flux[j]; 2129ed3d70dSJames Wright 2139ed3d70dSJames Wright // Save values for Jacobian 2144b96a86bSJames Wright if (is_implicit) { 2159ed3d70dSJames Wright StoredValuesPack(Q, i, 0, 5, qi, jac_data_sur); 2169ed3d70dSJames Wright StoredValuesPack(Q, i, 5, 6, kmstress, jac_data_sur); 2179ed3d70dSJames Wright } 2184b96a86bSJames Wright } 2199ed3d70dSJames Wright return 0; 2209ed3d70dSJames Wright } 2219ed3d70dSJames Wright 2229ed3d70dSJames Wright CEED_QFUNCTION(RiemannOutflow_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 2239ed3d70dSJames Wright return RiemannOutflow(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 2249ed3d70dSJames Wright } 2259ed3d70dSJames Wright 2269ed3d70dSJames Wright CEED_QFUNCTION(RiemannOutflow_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 2279ed3d70dSJames Wright return RiemannOutflow(ctx, Q, in, out, STATEVAR_PRIMITIVE); 2289ed3d70dSJames Wright } 2299ed3d70dSJames Wright 2309b103f75SJames Wright CEED_QFUNCTION(RiemannOutflow_Entropy)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 2319b103f75SJames Wright return RiemannOutflow(ctx, Q, in, out, STATEVAR_ENTROPY); 2329b103f75SJames Wright } 2339b103f75SJames Wright 2349ed3d70dSJames Wright // ***************************************************************************** 2359ed3d70dSJames Wright // Jacobian for Riemann pressure/temperature outflow boundary condition 2369ed3d70dSJames Wright // ***************************************************************************** 2379ed3d70dSJames Wright CEED_QFUNCTION_HELPER int RiemannOutflow_Jacobian(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, 2389ed3d70dSJames Wright StateVariable state_var) { 2399ed3d70dSJames Wright const CeedScalar(*dq)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 2409ed3d70dSJames Wright const CeedScalar(*Grad_dq) = in[1]; 2419ed3d70dSJames Wright const CeedScalar(*q_data_sur) = in[2]; 2429ed3d70dSJames Wright const CeedScalar(*jac_data_sur) = in[4]; 2439ed3d70dSJames Wright CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 2449ed3d70dSJames Wright 2459ed3d70dSJames Wright const OutflowContext outflow = (OutflowContext)ctx; 2469ed3d70dSJames Wright const NewtonianIdealGasContext gas = &outflow->gas; 2479ed3d70dSJames Wright const bool is_implicit = gas->is_implicit; 2489ed3d70dSJames Wright 2499ed3d70dSJames Wright CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 250feb491a7SJames Wright CeedScalar wdetJb, dXdx[2][3], normal[3]; 251feb491a7SJames Wright QdataBoundaryUnpack_3D(Q, i, q_data_sur, &wdetJb, dXdx, normal); 2529ed3d70dSJames Wright wdetJb *= is_implicit ? -1. : 1.; 2539ed3d70dSJames Wright 2549ed3d70dSJames Wright CeedScalar qi[5], kmstress[6], dqi[5]; 2559ed3d70dSJames Wright StoredValuesUnpack(Q, i, 0, 5, jac_data_sur, qi); 2569ed3d70dSJames Wright StoredValuesUnpack(Q, i, 5, 6, jac_data_sur, kmstress); 2579ed3d70dSJames Wright for (int j = 0; j < 5; j++) dqi[j] = dq[j][i]; 2589ed3d70dSJames Wright 2599ed3d70dSJames Wright State s_int = StateFromQ(gas, qi, state_var); 2609ed3d70dSJames Wright const State ds_int = StateFromQ_fwd(gas, s_int, dqi, state_var); 2619ed3d70dSJames Wright StatePrimitive y_ext = s_int.Y, dy_ext = ds_int.Y; 2629ed3d70dSJames Wright y_ext.pressure = outflow->pressure; 2639ed3d70dSJames Wright y_ext.temperature = outflow->temperature; 2649ed3d70dSJames Wright dy_ext.pressure = 0; 2659ed3d70dSJames Wright dy_ext.temperature = 0; 266feb491a7SJames Wright const CeedScalar u_normal = Dot3(s_int.Y.velocity, normal); 267feb491a7SJames Wright const CeedScalar du_normal = Dot3(ds_int.Y.velocity, normal); 2689ed3d70dSJames Wright const CeedScalar proj = (1 - outflow->recirc) * Softplus(-u_normal, outflow->softplus_velocity); 2699ed3d70dSJames Wright const CeedScalar dproj = (1 - outflow->recirc) * Softplus_fwd(-u_normal, -du_normal, outflow->softplus_velocity); 2709ed3d70dSJames Wright for (CeedInt j = 0; j < 3; j++) { 271feb491a7SJames Wright y_ext.velocity[j] += normal[j] * proj; 272feb491a7SJames Wright dy_ext.velocity[j] += normal[j] * dproj; 2739ed3d70dSJames Wright } 2749ed3d70dSJames Wright 2759ed3d70dSJames Wright State s_ext = StateFromPrimitive(gas, y_ext); 2769ed3d70dSJames Wright State ds_ext = StateFromPrimitive_fwd(gas, s_ext, dy_ext); 2779ed3d70dSJames Wright 2789ed3d70dSJames Wright State grad_ds[3]; 2799ed3d70dSJames Wright StatePhysicalGradientFromReference_Boundary(Q, i, gas, s_int, state_var, Grad_dq, dXdx, grad_ds); 2809ed3d70dSJames Wright 2819ed3d70dSJames Wright CeedScalar dstrain_rate[6], dkmstress[6], stress[3][3], dstress[3][3], dFe[3]; 2829ed3d70dSJames Wright KMStrainRate_State(grad_ds, dstrain_rate); 2839ed3d70dSJames Wright NewtonianStress(gas, dstrain_rate, dkmstress); 2849ed3d70dSJames Wright KMUnpack(dkmstress, dstress); 2859ed3d70dSJames Wright KMUnpack(kmstress, stress); 2869ed3d70dSJames Wright ViscousEnergyFlux_fwd(gas, s_int.Y, ds_int.Y, grad_ds, stress, dstress, dFe); 2879ed3d70dSJames Wright 288feb491a7SJames Wright StateConservative dF_inviscid_normal = RiemannFlux_HLLC_fwd(gas, s_int, ds_int, s_ext, ds_ext, normal); 2899ed3d70dSJames Wright 2909ed3d70dSJames Wright CeedScalar dFlux[5]; 291feb491a7SJames Wright FluxTotal_RiemannBoundary(dF_inviscid_normal, dstress, dFe, normal, dFlux); 2929ed3d70dSJames Wright 2939ed3d70dSJames Wright for (int j = 0; j < 5; j++) v[j][i] = -wdetJb * dFlux[j]; 294b193fadcSJames Wright } 2959ed3d70dSJames Wright return 0; 2969ed3d70dSJames Wright } 2979ed3d70dSJames Wright 2989ed3d70dSJames Wright CEED_QFUNCTION(RiemannOutflow_Jacobian_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 2999ed3d70dSJames Wright return RiemannOutflow_Jacobian(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 3009ed3d70dSJames Wright } 3019ed3d70dSJames Wright 3029ed3d70dSJames Wright CEED_QFUNCTION(RiemannOutflow_Jacobian_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 3039ed3d70dSJames Wright return RiemannOutflow_Jacobian(ctx, Q, in, out, STATEVAR_PRIMITIVE); 3049ed3d70dSJames Wright } 3059ed3d70dSJames Wright 3069b103f75SJames Wright CEED_QFUNCTION(RiemannOutflow_Jacobian_Entropy)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 3079b103f75SJames Wright return RiemannOutflow_Jacobian(ctx, Q, in, out, STATEVAR_ENTROPY); 3089b103f75SJames Wright } 3099b103f75SJames Wright 3109ed3d70dSJames Wright // ***************************************************************************** 3119ed3d70dSJames Wright // Outflow boundary condition, weakly setting a constant pressure. This is the 3129ed3d70dSJames Wright // classic outflow condition used by PHASTA-C and retained largely for 3139ed3d70dSJames Wright // comparison. In our experiments, it is never better than RiemannOutflow, and 3149ed3d70dSJames Wright // will crash if outflow ever becomes an inflow, as occurs with strong 3159ed3d70dSJames Wright // acoustics, vortices, etc. 3169ed3d70dSJames Wright // ***************************************************************************** 3179ed3d70dSJames Wright CEED_QFUNCTION_HELPER int PressureOutflow(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, StateVariable state_var) { 3184b96a86bSJames Wright const OutflowContext outflow = (OutflowContext)ctx; 3199ed3d70dSJames Wright const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 3209ed3d70dSJames Wright const CeedScalar(*Grad_q) = in[1]; 3219ed3d70dSJames Wright const CeedScalar(*q_data_sur) = in[2]; 3229ed3d70dSJames Wright CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 3234b96a86bSJames Wright CeedScalar(*jac_data_sur) = outflow->gas.is_implicit ? out[1] : NULL; 3249ed3d70dSJames Wright 3259ed3d70dSJames Wright const NewtonianIdealGasContext gas = &outflow->gas; 3269ed3d70dSJames Wright const bool is_implicit = gas->is_implicit; 3279ed3d70dSJames Wright 3289ed3d70dSJames Wright CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 3299ed3d70dSJames Wright const CeedScalar qi[5] = {q[0][i], q[1][i], q[2][i], q[3][i], q[4][i]}; 3309ed3d70dSJames Wright State s = StateFromQ(gas, qi, state_var); 3319ed3d70dSJames Wright s.Y.pressure = outflow->pressure; 3329ed3d70dSJames Wright 333feb491a7SJames Wright CeedScalar wdetJb, dXdx[2][3], normal[3]; 334feb491a7SJames Wright QdataBoundaryUnpack_3D(Q, i, q_data_sur, &wdetJb, dXdx, normal); 3359ed3d70dSJames Wright wdetJb *= is_implicit ? -1. : 1.; 3369ed3d70dSJames Wright 3379ed3d70dSJames Wright State grad_s[3]; 3389ed3d70dSJames Wright StatePhysicalGradientFromReference_Boundary(Q, i, gas, s, state_var, Grad_q, dXdx, grad_s); 3399ed3d70dSJames Wright 3409ed3d70dSJames Wright CeedScalar strain_rate[6], kmstress[6], stress[3][3], Fe[3]; 3419ed3d70dSJames Wright KMStrainRate_State(grad_s, strain_rate); 3429ed3d70dSJames Wright NewtonianStress(gas, strain_rate, kmstress); 3439ed3d70dSJames Wright KMUnpack(kmstress, stress); 3449ed3d70dSJames Wright ViscousEnergyFlux(gas, s.Y, grad_s, stress, Fe); 3459ed3d70dSJames Wright 3469ed3d70dSJames Wright StateConservative F_inviscid[3]; 3479ed3d70dSJames Wright FluxInviscid(gas, s, F_inviscid); 3489ed3d70dSJames Wright 3499ed3d70dSJames Wright CeedScalar Flux[5]; 350feb491a7SJames Wright FluxTotal_Boundary(F_inviscid, stress, Fe, normal, Flux); 3519ed3d70dSJames Wright 3529ed3d70dSJames Wright for (CeedInt j = 0; j < 5; j++) v[j][i] = -wdetJb * Flux[j]; 3539ed3d70dSJames Wright 3549ed3d70dSJames Wright // Save values for Jacobian 3554b96a86bSJames Wright if (is_implicit) { 3569ed3d70dSJames Wright StoredValuesPack(Q, i, 0, 5, qi, jac_data_sur); 3579ed3d70dSJames Wright StoredValuesPack(Q, i, 5, 6, kmstress, jac_data_sur); 3584b96a86bSJames Wright } 3594b96a86bSJames Wright } 3609ed3d70dSJames Wright return 0; 3619ed3d70dSJames Wright } 3629ed3d70dSJames Wright 3639ed3d70dSJames Wright CEED_QFUNCTION(PressureOutflow_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 3649ed3d70dSJames Wright return PressureOutflow(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 3659ed3d70dSJames Wright } 3669ed3d70dSJames Wright 3679ed3d70dSJames Wright CEED_QFUNCTION(PressureOutflow_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 3689ed3d70dSJames Wright return PressureOutflow(ctx, Q, in, out, STATEVAR_PRIMITIVE); 3699ed3d70dSJames Wright } 3709ed3d70dSJames Wright 3719b103f75SJames Wright CEED_QFUNCTION(PressureOutflow_Entropy)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 3729b103f75SJames Wright return PressureOutflow(ctx, Q, in, out, STATEVAR_ENTROPY); 3739b103f75SJames Wright } 3749b103f75SJames Wright 3759ed3d70dSJames Wright // ***************************************************************************** 3769ed3d70dSJames Wright // Jacobian for weak-pressure outflow boundary condition 3779ed3d70dSJames Wright // ***************************************************************************** 3789ed3d70dSJames Wright CEED_QFUNCTION_HELPER int PressureOutflow_Jacobian(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, 3799ed3d70dSJames Wright StateVariable state_var) { 3809ed3d70dSJames Wright const CeedScalar(*dq)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 3819ed3d70dSJames Wright const CeedScalar(*Grad_dq) = in[1]; 3829ed3d70dSJames Wright const CeedScalar(*q_data_sur) = in[2]; 3839ed3d70dSJames Wright const CeedScalar(*jac_data_sur) = in[4]; 3849ed3d70dSJames Wright CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 3859ed3d70dSJames Wright 3869ed3d70dSJames Wright const OutflowContext outflow = (OutflowContext)ctx; 3879ed3d70dSJames Wright const NewtonianIdealGasContext gas = &outflow->gas; 3889ed3d70dSJames Wright const bool is_implicit = gas->is_implicit; 3899ed3d70dSJames Wright 3909ed3d70dSJames Wright CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 391feb491a7SJames Wright CeedScalar wdetJb, dXdx[2][3], normal[3]; 392feb491a7SJames Wright QdataBoundaryUnpack_3D(Q, i, q_data_sur, &wdetJb, dXdx, normal); 3939ed3d70dSJames Wright wdetJb *= is_implicit ? -1. : 1.; 3949ed3d70dSJames Wright 3959ed3d70dSJames Wright CeedScalar qi[5], kmstress[6], dqi[5]; 3969ed3d70dSJames Wright StoredValuesUnpack(Q, i, 0, 5, jac_data_sur, qi); 3979ed3d70dSJames Wright StoredValuesUnpack(Q, i, 5, 6, jac_data_sur, kmstress); 3989ed3d70dSJames Wright for (int j = 0; j < 5; j++) dqi[j] = dq[j][i]; 3999ed3d70dSJames Wright 4009ed3d70dSJames Wright State s = StateFromQ(gas, qi, state_var); 4019ed3d70dSJames Wright State ds = StateFromQ_fwd(gas, s, dqi, state_var); 4029ed3d70dSJames Wright s.Y.pressure = outflow->pressure; 4039ed3d70dSJames Wright ds.Y.pressure = 0.; 4049ed3d70dSJames Wright 4059ed3d70dSJames Wright State grad_ds[3]; 4069ed3d70dSJames Wright StatePhysicalGradientFromReference_Boundary(Q, i, gas, s, state_var, Grad_dq, dXdx, grad_ds); 4079ed3d70dSJames Wright 4089ed3d70dSJames Wright CeedScalar dstrain_rate[6], dkmstress[6], stress[3][3], dstress[3][3], dFe[3]; 4099ed3d70dSJames Wright KMStrainRate_State(grad_ds, dstrain_rate); 4109ed3d70dSJames Wright NewtonianStress(gas, dstrain_rate, dkmstress); 4119ed3d70dSJames Wright KMUnpack(dkmstress, dstress); 4129ed3d70dSJames Wright KMUnpack(kmstress, stress); 4139ed3d70dSJames Wright ViscousEnergyFlux_fwd(gas, s.Y, ds.Y, grad_ds, stress, dstress, dFe); 4149ed3d70dSJames Wright 4159ed3d70dSJames Wright StateConservative dF_inviscid[3]; 4169ed3d70dSJames Wright FluxInviscid_fwd(gas, s, ds, dF_inviscid); 4179ed3d70dSJames Wright 4189ed3d70dSJames Wright CeedScalar dFlux[5]; 419feb491a7SJames Wright FluxTotal_Boundary(dF_inviscid, dstress, dFe, normal, dFlux); 4209ed3d70dSJames Wright 4219ed3d70dSJames Wright for (int j = 0; j < 5; j++) v[j][i] = -wdetJb * dFlux[j]; 422b193fadcSJames Wright } 4239ed3d70dSJames Wright return 0; 4249ed3d70dSJames Wright } 4259ed3d70dSJames Wright 4269ed3d70dSJames Wright CEED_QFUNCTION(PressureOutflow_Jacobian_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 4279ed3d70dSJames Wright return PressureOutflow_Jacobian(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 4289ed3d70dSJames Wright } 4299ed3d70dSJames Wright 4309ed3d70dSJames Wright CEED_QFUNCTION(PressureOutflow_Jacobian_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 4319ed3d70dSJames Wright return PressureOutflow_Jacobian(ctx, Q, in, out, STATEVAR_PRIMITIVE); 4329ed3d70dSJames Wright } 4339b103f75SJames Wright 4349b103f75SJames Wright CEED_QFUNCTION(PressureOutflow_Jacobian_Entropy)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 4359b103f75SJames Wright return PressureOutflow_Jacobian(ctx, Q, in, out, STATEVAR_ENTROPY); 4369b103f75SJames Wright } 437