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 /// Implementation of differential filtering 10 11 #include <ceed.h> 12 13 #include "newtonian_state.h" 14 #include "newtonian_types.h" 15 #include "utils.h" 16 17 enum DifferentialFilterComponent { 18 DIFF_FILTER_PRESSURE, 19 DIFF_FILTER_VELOCITY_X, 20 DIFF_FILTER_VELOCITY_Y, 21 DIFF_FILTER_VELOCITY_Z, 22 DIFF_FILTER_TEMPERATURE, 23 DIFF_FILTER_VELOCITY_SQUARED_XX, 24 DIFF_FILTER_VELOCITY_SQUARED_YY, 25 DIFF_FILTER_VELOCITY_SQUARED_ZZ, 26 DIFF_FILTER_VELOCITY_SQUARED_YZ, 27 DIFF_FILTER_VELOCITY_SQUARED_XZ, 28 DIFF_FILTER_VELOCITY_SQUARED_XY, 29 DIFF_FILTER_NUM_COMPONENTS, 30 }; 31 32 enum DifferentialFilterDampingFunction { DIFF_FILTER_DAMP_NONE, DIFF_FILTER_DAMP_VAN_DRIEST }; 33 static const char *const DifferentialFilterDampingFunctions[] = {"none", "van_driest", "DifferentialFilterDampingFunction", "DIFF_FILTER_DAMP_", 34 NULL}; 35 36 typedef struct DifferentialFilterContext_ *DifferentialFilterContext; 37 struct DifferentialFilterContext_ { 38 bool grid_based_width; 39 CeedScalar width_scaling[3]; 40 CeedScalar kernel_scaling; 41 CeedScalar friction_length; 42 enum DifferentialFilterDampingFunction damping_function; 43 CeedScalar damping_constant; 44 struct NewtonianIdealGasContext_ gas; 45 }; 46 47 CEED_QFUNCTION_HELPER int DifferentialFilter_RHS(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, StateVariable state_var) { 48 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 49 const CeedScalar(*q_data)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[1]; 50 const CeedScalar(*x)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[2]; 51 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 52 53 DifferentialFilterContext context = (DifferentialFilterContext)ctx; 54 NewtonianIdealGasContext gas = &context->gas; 55 56 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 57 const CeedScalar qi[5] = {q[0][i], q[1][i], q[2][i], q[3][i], q[4][i]}; 58 const CeedScalar x_i[3] = {x[0][i], x[1][i], x[2][i]}; 59 const CeedScalar wdetJ = q_data[0][i]; 60 const State s = StateFromQ(gas, qi, x_i, state_var); 61 62 v[DIFF_FILTER_PRESSURE][i] = wdetJ * s.Y.pressure; 63 v[DIFF_FILTER_VELOCITY_X][i] = wdetJ * s.Y.velocity[0]; 64 v[DIFF_FILTER_VELOCITY_Y][i] = wdetJ * s.Y.velocity[1]; 65 v[DIFF_FILTER_VELOCITY_Z][i] = wdetJ * s.Y.velocity[2]; 66 v[DIFF_FILTER_TEMPERATURE][i] = wdetJ * s.Y.temperature; 67 v[DIFF_FILTER_VELOCITY_SQUARED_XX][i] = wdetJ * s.Y.velocity[0] * s.Y.velocity[0]; 68 v[DIFF_FILTER_VELOCITY_SQUARED_YY][i] = wdetJ * s.Y.velocity[1] * s.Y.velocity[1]; 69 v[DIFF_FILTER_VELOCITY_SQUARED_ZZ][i] = wdetJ * s.Y.velocity[2] * s.Y.velocity[2]; 70 v[DIFF_FILTER_VELOCITY_SQUARED_YZ][i] = wdetJ * s.Y.velocity[1] * s.Y.velocity[2]; 71 v[DIFF_FILTER_VELOCITY_SQUARED_XZ][i] = wdetJ * s.Y.velocity[0] * s.Y.velocity[2]; 72 v[DIFF_FILTER_VELOCITY_SQUARED_XY][i] = wdetJ * s.Y.velocity[0] * s.Y.velocity[1]; 73 } 74 return 0; 75 } 76 77 CEED_QFUNCTION(DifferentialFilter_RHS_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 78 return DifferentialFilter_RHS(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 79 } 80 81 CEED_QFUNCTION(DifferentialFilter_RHS_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 82 return DifferentialFilter_RHS(ctx, Q, in, out, STATEVAR_PRIMITIVE); 83 } 84 85 CEED_QFUNCTION_HELPER CeedScalar VanDriestWallDamping(const CeedScalar wall_dist_plus, const CeedScalar A_plus) { 86 return -expm1(-wall_dist_plus / A_plus); 87 } 88 89 CEED_QFUNCTION_HELPER int DifferentialFilter_LHS_N(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, const CeedInt N) { 90 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 91 const CeedScalar(*Grad_q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[1]; 92 const CeedScalar(*A_ij_delta)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[2]; 93 const CeedScalar(*x)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[3]; 94 const CeedScalar(*q_data)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[4]; 95 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 96 CeedScalar(*Grad_v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[1]; 97 98 DifferentialFilterContext context = (DifferentialFilterContext)ctx; 99 100 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 101 CeedPragmaSIMD for (CeedInt j = 0; j < N; j++) { 102 const CeedScalar x_i[3] = {x[0][i], x[1][i], x[2][i]}; 103 const CeedScalar wdetJ = q_data[0][i]; 104 const CeedScalar dXdx[3][3] = { 105 {q_data[1][i], q_data[2][i], q_data[3][i]}, 106 {q_data[4][i], q_data[5][i], q_data[6][i]}, 107 {q_data[7][i], q_data[8][i], q_data[9][i]} 108 }; 109 110 CeedScalar Delta_ij[3][3] = {{0.}}; 111 if (context->grid_based_width) { 112 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]}; 113 const CeedScalar delta = A_ij_delta[6][i]; 114 ScaleN(km_A_ij, delta, 6); // Dimensionalize the normalized anisotropy tensor 115 KMUnpack(km_A_ij, Delta_ij); 116 } else { 117 Delta_ij[0][0] = Delta_ij[1][1] = Delta_ij[2][2] = 1; 118 } 119 120 CeedScalar scaling_matrix[3][3] = {{0}}; 121 if (context->damping_function == DIFF_FILTER_DAMP_VAN_DRIEST) { 122 const CeedScalar damping_coeff = VanDriestWallDamping(x_i[1] / context->friction_length, context->damping_constant); 123 scaling_matrix[0][0] = Max(1, damping_coeff * context->width_scaling[0]); 124 scaling_matrix[1][1] = damping_coeff * context->width_scaling[1]; 125 scaling_matrix[2][2] = Max(1, damping_coeff * context->width_scaling[2]); 126 } else if (context->damping_function == DIFF_FILTER_DAMP_NONE) { 127 scaling_matrix[0][0] = context->width_scaling[0]; 128 scaling_matrix[1][1] = context->width_scaling[1]; 129 scaling_matrix[2][2] = context->width_scaling[2]; 130 } 131 132 CeedScalar scaled_Delta_ij[3][3] = {{0.}}; 133 MatMat3(scaling_matrix, Delta_ij, CEED_NOTRANSPOSE, CEED_NOTRANSPOSE, scaled_Delta_ij); 134 CopyMat3(scaled_Delta_ij, Delta_ij); 135 136 CeedScalar alpha_ij[3][3] = {{0.}}; 137 MatMat3(Delta_ij, Delta_ij, CEED_NOTRANSPOSE, CEED_NOTRANSPOSE, alpha_ij); 138 ScaleN((CeedScalar *)alpha_ij, context->kernel_scaling, 9); 139 140 v[j][i] = wdetJ * q[j][i]; 141 CeedScalar dq[3], dq_dXdx[3] = {0.}, dq_dXdx_a[3] = {0.}; 142 for (int k = 0; k < 3; k++) { 143 dq[k] = Grad_q[0 * N + j][i] * dXdx[0][k] + Grad_q[1 * N + j][i] * dXdx[1][k] + Grad_q[2 * N + j][i] * dXdx[2][k]; 144 } 145 MatVec3(dXdx, dq, CEED_NOTRANSPOSE, dq_dXdx); 146 MatVec3(alpha_ij, dq_dXdx, CEED_NOTRANSPOSE, dq_dXdx_a); 147 for (int k = 0; k < 3; k++) { 148 Grad_v[k * N + j][i] = wdetJ * dq_dXdx_a[k]; 149 } 150 } 151 } 152 return 0; 153 } 154 155 CEED_QFUNCTION(DifferentialFilter_LHS_1)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 156 return DifferentialFilter_LHS_N(ctx, Q, in, out, 1); 157 } 158 159 CEED_QFUNCTION(DifferentialFilter_LHS_5)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 160 return DifferentialFilter_LHS_N(ctx, Q, in, out, 5); 161 } 162 163 CEED_QFUNCTION(DifferentialFilter_LHS_11)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 164 return DifferentialFilter_LHS_N(ctx, Q, in, out, 11); 165 } 166