1 // Copyright (c) 2017-2023, 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 /// Structs and helper functions to evaluate data-driven subgrid-stress modeling 10 /// See 'Invariant data-driven subgrid stress modeling in the strain-rate eigenframe for large eddy simulation' 2022 and 'S-frame discrepancy 11 /// correction models for data-informed Reynolds stress closure' 2022 12 13 #ifndef sgs_dd_model_h 14 #define sgs_dd_model_h 15 16 #include <ceed.h> 17 18 #include "newtonian_state.h" 19 #include "newtonian_types.h" 20 #include "sgs_dd_utils.h" 21 #include "utils.h" 22 #include "utils_eigensolver_jacobi.h" 23 24 typedef struct SgsDDModelContext_ *SgsDDModelContext; 25 struct SgsDDModelContext_ { 26 CeedInt num_inputs, num_outputs; 27 CeedInt num_layers; 28 CeedInt num_neurons; 29 CeedScalar alpha; 30 31 struct NewtonianIdealGasContext_ gas; 32 struct { 33 size_t bias1, bias2; 34 size_t weight1, weight2; 35 size_t out_scaling; 36 } offsets; 37 size_t total_bytes; 38 CeedScalar data[1]; 39 }; 40 41 CEED_QFUNCTION_HELPER void LeakyReLU(CeedScalar *x, const CeedScalar alpha, const CeedInt N) { 42 for (CeedInt i = 0; i < N; i++) x[i] *= (x[i] < 0 ? alpha : 1.); 43 } 44 45 CEED_QFUNCTION_HELPER void DataDrivenInference(const CeedScalar *inputs, CeedScalar *outputs, SgsDDModelContext sgsdd_ctx) { 46 const CeedInt num_neurons = sgsdd_ctx->num_neurons; 47 const CeedInt num_inputs = sgsdd_ctx->num_inputs; 48 const CeedInt num_outputs = sgsdd_ctx->num_outputs; 49 const CeedScalar alpha = sgsdd_ctx->alpha; 50 const CeedScalar *bias1 = &sgsdd_ctx->data[sgsdd_ctx->offsets.bias1]; 51 const CeedScalar *bias2 = &sgsdd_ctx->data[sgsdd_ctx->offsets.bias2]; 52 const CeedScalar *weight1 = &sgsdd_ctx->data[sgsdd_ctx->offsets.weight1]; 53 const CeedScalar *weight2 = &sgsdd_ctx->data[sgsdd_ctx->offsets.weight2]; 54 CeedScalar V[20] = {0.}; 55 56 CopyN(bias1, V, num_neurons); 57 MatVecNM(weight1, inputs, num_neurons, num_inputs, CEED_NOTRANSPOSE, V); 58 LeakyReLU(V, alpha, num_neurons); 59 CopyN(bias2, outputs, num_outputs); 60 MatVecNM(weight2, V, num_outputs, num_neurons, CEED_NOTRANSPOSE, outputs); 61 } 62 63 CEED_QFUNCTION_HELPER void ComputeSgsDDAnisotropic(const CeedScalar grad_velo_aniso[3][3], const CeedScalar km_A_ij[6], const CeedScalar delta, 64 const CeedScalar viscosity, CeedScalar kmsgs_stress[6], SgsDDModelContext sgsdd_ctx) { 65 CeedScalar inputs[6], grad_velo_magnitude, eigenvectors[3][3], sgs_sframe_sym[6] = {0.}; 66 const CeedScalar(*new_bounds)[2] = (const CeedScalar(*)[2]) & sgsdd_ctx->data[sgsdd_ctx->offsets.out_scaling]; 67 68 ComputeSGS_DDAnisotropicInputs(grad_velo_aniso, km_A_ij, delta, viscosity, eigenvectors, inputs, &grad_velo_magnitude); 69 DataDrivenInference(inputs, sgs_sframe_sym, sgsdd_ctx); 70 ComputeSGS_DDAnisotropicOutputs(sgs_sframe_sym, delta, eigenvectors, new_bounds, grad_velo_magnitude, kmsgs_stress); 71 } 72 73 // @brief Calculate subgrid stress at nodes using anisotropic data-driven model 74 CEED_QFUNCTION_HELPER int ComputeSgsDDAnisotropicNodal(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, 75 StateVariable state_var) { 76 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 77 const CeedScalar(*x)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[1]; 78 const CeedScalar(*grad_velo)[3][CEED_Q_VLA] = (const CeedScalar(*)[3][CEED_Q_VLA])in[2]; 79 const CeedScalar(*A_ij_delta)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[3]; 80 const CeedScalar(*inv_multiplicity) = (const CeedScalar(*))in[4]; 81 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 82 83 const SgsDDModelContext sgsdd_ctx = (SgsDDModelContext)ctx; 84 const NewtonianIdealGasContext gas = &sgsdd_ctx->gas; 85 86 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 87 const CeedScalar qi[5] = {q[0][i], q[1][i], q[2][i], q[3][i], q[4][i]}; 88 const CeedScalar x_i[3] = {x[0][i], x[1][i], x[2][i]}; 89 const CeedScalar grad_velo_aniso[3][3] = { 90 {grad_velo[0][0][i], grad_velo[0][1][i], grad_velo[0][2][i]}, 91 {grad_velo[1][0][i], grad_velo[1][1][i], grad_velo[1][2][i]}, 92 {grad_velo[2][0][i], grad_velo[2][1][i], grad_velo[2][2][i]} 93 }; 94 const CeedScalar km_A_ij[6] = {A_ij_delta[0][i], A_ij_delta[1][i], A_ij_delta[2][i], A_ij_delta[3][i], A_ij_delta[4][i], A_ij_delta[5][i]}; 95 const CeedScalar delta = A_ij_delta[6][i]; 96 const State s = StateFromQ(gas, qi, x_i, state_var); 97 CeedScalar km_sgs[6]; 98 99 ComputeSgsDDAnisotropic(grad_velo_aniso, km_A_ij, delta, gas->mu / s.U.density, km_sgs, sgsdd_ctx); 100 101 for (int j = 0; j < 6; j++) v[j][i] = inv_multiplicity[i] * km_sgs[j]; 102 } 103 return 0; 104 } 105 106 CEED_QFUNCTION(ComputeSgsDDAnisotropicNodal_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 107 return ComputeSgsDDAnisotropicNodal(ctx, Q, in, out, STATEVAR_PRIMITIVE); 108 } 109 110 CEED_QFUNCTION(ComputeSgsDDAnisotropicNodal_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 111 return ComputeSgsDDAnisotropicNodal(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 112 } 113 114 // @brief Adds subgrid stress to residual (during IFunction evaluation) 115 CEED_QFUNCTION_HELPER int FluxSubgridStress(const StatePrimitive Y, const CeedScalar km_sgs[6], CeedScalar Flux[5][3]) { 116 CeedScalar sgs[3][3]; 117 118 KMUnpack(km_sgs, sgs); 119 for (CeedInt j = 0; j < 3; j++) { 120 Flux[0][j] = 0.; 121 for (CeedInt k = 0; k < 3; k++) Flux[k + 1][j] = sgs[k][j]; 122 Flux[4][j] = Y.velocity[0] * sgs[0][j] + Y.velocity[1] * sgs[1][j] + Y.velocity[2] * sgs[2][j]; 123 } 124 return 0; 125 } 126 127 CEED_QFUNCTION_HELPER int IFunction_NodalSgs(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, StateVariable state_var) { 128 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 129 const CeedScalar(*q_data) = in[1]; 130 const CeedScalar(*x)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[2]; 131 const CeedScalar(*km_sgs)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[3]; 132 CeedScalar(*Grad_v)[5][CEED_Q_VLA] = (CeedScalar(*)[5][CEED_Q_VLA])out[0]; 133 134 SgsDDModelContext sgsdd_ctx = (SgsDDModelContext)ctx; 135 NewtonianIdealGasContext gas = &sgsdd_ctx->gas; 136 137 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 138 const CeedScalar qi[5] = {q[0][i], q[1][i], q[2][i], q[3][i], q[4][i]}; 139 const CeedScalar x_i[3] = {x[0][i], x[1][i], x[2][i]}; 140 const State s = StateFromQ(gas, qi, x_i, state_var); 141 142 CeedScalar wdetJ, dXdx[3][3]; 143 QdataUnpack_3D(Q, i, q_data, &wdetJ, dXdx); 144 145 CeedScalar Flux[5][3]; 146 const CeedScalar km_sgs_i[6] = {km_sgs[0][i], km_sgs[1][i], km_sgs[2][i], km_sgs[3][i], km_sgs[4][i], km_sgs[5][i]}; 147 FluxSubgridStress(s.Y, km_sgs_i, Flux); 148 149 for (CeedInt k = 0; k < 3; k++) { 150 for (CeedInt j = 0; j < 5; j++) { 151 Grad_v[k][j][i] = -wdetJ * (dXdx[k][0] * Flux[j][0] + dXdx[k][1] * Flux[j][1] + dXdx[k][2] * Flux[j][2]); 152 } 153 } 154 } 155 return 0; 156 } 157 158 CEED_QFUNCTION(IFunction_NodalSgs_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 159 return IFunction_NodalSgs(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 160 } 161 162 CEED_QFUNCTION(IFunction_NodalSgs_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 163 return IFunction_NodalSgs(ctx, Q, in, out, STATEVAR_PRIMITIVE); 164 } 165 166 #endif // sgs_dd_model_h 167