1 // SPDX-FileCopyrightText: Copyright (c) 2017-2024, HONEE contributors. 2 // SPDX-License-Identifier: Apache-2.0 OR BSD-2-Clause 3 // 4 /// @file 5 /// Implementation of differential filtering 6 #include <ceed/types.h> 7 8 #include "differential_filter_enums.h" 9 #include "newtonian_state.h" 10 #include "newtonian_types.h" 11 #include "utils.h" 12 13 enum DifferentialFilterDampingFunction { DIFF_FILTER_DAMP_NONE, DIFF_FILTER_DAMP_VAN_DRIEST, DIFF_FILTER_DAMP_MMS }; 14 15 typedef struct DifferentialFilterContext_ *DifferentialFilterContext; 16 struct DifferentialFilterContext_ { 17 bool grid_based_width; 18 CeedScalar width_scaling[3]; 19 CeedScalar kernel_scaling; 20 CeedScalar friction_length; 21 enum DifferentialFilterDampingFunction damping_function; 22 CeedScalar damping_constant; 23 struct NewtonianIdealGasContext_ gas; 24 }; 25 26 CEED_QFUNCTION_HELPER int DifferentialFilter_RHS(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, StateVariable state_var) { 27 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 28 const CeedScalar(*q_data)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[1]; 29 CeedScalar(*v0)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 30 CeedScalar(*v1)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[1]; 31 32 DifferentialFilterContext context = (DifferentialFilterContext)ctx; 33 NewtonianIdealGasContext gas = &context->gas; 34 35 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 36 const CeedScalar qi[5] = {q[0][i], q[1][i], q[2][i], q[3][i], q[4][i]}; 37 const CeedScalar wdetJ = q_data[0][i]; 38 const State s = StateFromQ(gas, qi, state_var); 39 40 v0[DIFF_FILTER_PRESSURE][i] = wdetJ * s.Y.pressure; 41 v0[DIFF_FILTER_VELOCITY_X][i] = wdetJ * s.Y.velocity[0]; 42 v0[DIFF_FILTER_VELOCITY_Y][i] = wdetJ * s.Y.velocity[1]; 43 v0[DIFF_FILTER_VELOCITY_Z][i] = wdetJ * s.Y.velocity[2]; 44 v0[DIFF_FILTER_TEMPERATURE][i] = wdetJ * s.Y.temperature; 45 v1[DIFF_FILTER_VELOCITY_SQUARED_XX][i] = wdetJ * s.Y.velocity[0] * s.Y.velocity[0]; 46 v1[DIFF_FILTER_VELOCITY_SQUARED_YY][i] = wdetJ * s.Y.velocity[1] * s.Y.velocity[1]; 47 v1[DIFF_FILTER_VELOCITY_SQUARED_ZZ][i] = wdetJ * s.Y.velocity[2] * s.Y.velocity[2]; 48 v1[DIFF_FILTER_VELOCITY_SQUARED_YZ][i] = wdetJ * s.Y.velocity[1] * s.Y.velocity[2]; 49 v1[DIFF_FILTER_VELOCITY_SQUARED_XZ][i] = wdetJ * s.Y.velocity[0] * s.Y.velocity[2]; 50 v1[DIFF_FILTER_VELOCITY_SQUARED_XY][i] = wdetJ * s.Y.velocity[0] * s.Y.velocity[1]; 51 } 52 return 0; 53 } 54 55 CEED_QFUNCTION(DifferentialFilter_RHS_Conserv)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 56 return DifferentialFilter_RHS(ctx, Q, in, out, STATEVAR_CONSERVATIVE); 57 } 58 59 CEED_QFUNCTION(DifferentialFilter_RHS_Prim)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 60 return DifferentialFilter_RHS(ctx, Q, in, out, STATEVAR_PRIMITIVE); 61 } 62 63 CEED_QFUNCTION(DifferentialFilter_RHS_Entropy)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 64 return DifferentialFilter_RHS(ctx, Q, in, out, STATEVAR_ENTROPY); 65 } 66 67 CEED_QFUNCTION_HELPER CeedScalar VanDriestWallDamping(const CeedScalar wall_dist_plus, const CeedScalar A_plus) { 68 return -expm1(-wall_dist_plus / A_plus); 69 } 70 71 CEED_QFUNCTION_HELPER int DifferentialFilter_LHS_N(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out, const CeedInt N) { 72 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 73 const CeedScalar(*Grad_q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[1]; 74 const CeedScalar(*A_ij_delta)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[2]; 75 const CeedScalar(*x)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[3]; 76 const CeedScalar(*q_data) = in[4]; 77 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 78 CeedScalar(*Grad_v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[1]; 79 80 DifferentialFilterContext context = (DifferentialFilterContext)ctx; 81 82 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 83 CeedPragmaSIMD for (CeedInt j = 0; j < N; j++) { 84 const CeedScalar x_i[3] = {x[0][i], x[1][i], x[2][i]}; 85 CeedScalar wdetJ, dXdx[3][3]; 86 QdataUnpack_3D(Q, i, q_data, &wdetJ, dXdx); 87 88 CeedScalar Delta_ij[3][3] = {{0.}}; 89 if (context->grid_based_width) { 90 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]}; 91 const CeedScalar delta = A_ij_delta[6][i]; 92 ScaleN(km_A_ij, delta, 6); // Dimensionalize the normalized anisotropy tensor 93 KMUnpack(km_A_ij, Delta_ij); 94 } else { 95 Delta_ij[0][0] = Delta_ij[1][1] = Delta_ij[2][2] = 1; 96 } 97 98 CeedScalar scaling_matrix[3][3] = {{0}}; 99 if (context->damping_function == DIFF_FILTER_DAMP_VAN_DRIEST) { 100 const CeedScalar damping_coeff = VanDriestWallDamping(x_i[1] / context->friction_length, context->damping_constant); 101 scaling_matrix[0][0] = Max(1, damping_coeff * context->width_scaling[0]); 102 scaling_matrix[1][1] = damping_coeff * context->width_scaling[1]; 103 scaling_matrix[2][2] = Max(1, damping_coeff * context->width_scaling[2]); 104 } else if (context->damping_function == DIFF_FILTER_DAMP_NONE) { 105 scaling_matrix[0][0] = context->width_scaling[0]; 106 scaling_matrix[1][1] = context->width_scaling[1]; 107 scaling_matrix[2][2] = context->width_scaling[2]; 108 } else if (context->damping_function == DIFF_FILTER_DAMP_MMS) { 109 const CeedScalar damping_coeff = tanh(60 * x_i[1]); 110 scaling_matrix[0][0] = 1; 111 scaling_matrix[1][1] = damping_coeff; 112 scaling_matrix[2][2] = 1; 113 } 114 115 CeedScalar scaled_Delta_ij[3][3] = {{0.}}; 116 MatMat3(scaling_matrix, Delta_ij, CEED_NOTRANSPOSE, CEED_NOTRANSPOSE, scaled_Delta_ij); 117 CopyMat3(scaled_Delta_ij, Delta_ij); 118 119 CeedScalar alpha_ij[3][3] = {{0.}}; 120 MatMat3(Delta_ij, Delta_ij, CEED_NOTRANSPOSE, CEED_NOTRANSPOSE, alpha_ij); 121 ScaleN((CeedScalar *)alpha_ij, context->kernel_scaling, 9); 122 123 v[j][i] = wdetJ * q[j][i]; 124 CeedScalar dq[3], dq_dXdx[3] = {0.}, dq_dXdx_a[3] = {0.}; 125 for (int k = 0; k < 3; k++) { 126 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]; 127 } 128 MatVec3(dXdx, dq, CEED_NOTRANSPOSE, dq_dXdx); 129 MatVec3(alpha_ij, dq_dXdx, CEED_NOTRANSPOSE, dq_dXdx_a); 130 for (int k = 0; k < 3; k++) { 131 Grad_v[k * N + j][i] = wdetJ * dq_dXdx_a[k]; 132 } 133 } 134 } 135 return 0; 136 } 137 138 CEED_QFUNCTION(DifferentialFilter_LHS_1)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 139 return DifferentialFilter_LHS_N(ctx, Q, in, out, 1); 140 } 141 142 CEED_QFUNCTION(DifferentialFilter_LHS_5)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 143 return DifferentialFilter_LHS_N(ctx, Q, in, out, 5); 144 } 145 146 CEED_QFUNCTION(DifferentialFilter_LHS_6)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 147 return DifferentialFilter_LHS_N(ctx, Q, in, out, 6); 148 } 149 150 CEED_QFUNCTION(DifferentialFilter_LHS_11)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 151 return DifferentialFilter_LHS_N(ctx, Q, in, out, 11); 152 } 153 154 CEED_QFUNCTION_HELPER CeedScalar MMS_Solution(const CeedScalar x_i[3], const CeedScalar omega) { 155 return sin(6 * omega * x_i[0]) + sin(6 * omega * x_i[1]); 156 } 157 158 CEED_QFUNCTION(DifferentialFilter_MMS_RHS)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 159 const CeedScalar(*q)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 160 const CeedScalar(*q_data)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[1]; 161 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 162 163 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 164 const CeedScalar wdetJ = q_data[0][i]; 165 v[0][i] = wdetJ * q[0][i]; 166 } 167 return 0; 168 } 169 170 // @brief Generate initial condition such that the solution of the differential filtering is given by MMS_Solution() above 171 // 172 // This requires a *very* specific grid, as the anisotropic filtering is grid dependent. 173 // It's for a 75x75x1 grid on a [0,0.5]x3 domain. 174 // The grid is evenly distributed in x, but distributed based on the analytical mesh distribution \Delta_y = .001 + .01*tanh(6*y). 175 // The MMS test can optionally include a wall damping function (must also be enabled for the differential filtering itself). 176 // It can be run via: 177 // ./navierstokes -options_file tests-output/blasius_test.yaml -diff_filter_monitor -diff_filter_view cgns:filtered_solution.cgns -ts_max_steps 0 178 // -diff_filter_mms -diff_filter_kernel_scaling 1 -diff_filter_wall_damping_function mms -dm_plex_box_upper 0.5,0.5,0.5 -dm_plex_box_faces 75,75,1 179 // -mesh_transform platemesh -platemesh_y_node_locs_path tests-output/diff_filter_mms_y_spacing.dat -platemesh_top_angle 0 180 // -diff_filter_grid_based_width 181 CEED_QFUNCTION(DifferentialFilter_MMS_IC)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 182 const CeedScalar(*x)[CEED_Q_VLA] = (const CeedScalar(*)[CEED_Q_VLA])in[0]; 183 CeedScalar(*q0)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 184 185 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 186 const CeedScalar x_i[3] = {x[0][i], x[1][i], x[2][i]}; 187 188 const CeedScalar aniso_scale_factor = 1; // Must match the one passed in by -diff_filter_aniso_scale 189 const CeedScalar omega = 2 * M_PI; 190 const CeedScalar omega6 = 6 * omega; 191 const CeedScalar phi_bar = MMS_Solution(x_i, omega); 192 const CeedScalar dx = 0.5 / 75; 193 const CeedScalar dy_analytic = .001 + .01 * tanh(6 * x_i[1]); 194 const CeedScalar dy = dy_analytic; 195 const CeedScalar d_dy_dy = 0.06 * Square(1 / cosh(6 * x_i[1])); // Change of \Delta_y w.r.t. y 196 CeedScalar alpha[2] = {Square(dx) * aniso_scale_factor, Square(dy) * aniso_scale_factor}; 197 bool damping = true; 198 CeedScalar dalpha1dy; 199 if (damping) { 200 CeedScalar damping_coeff = tanh(60 * x_i[1]); 201 CeedScalar d_damping_coeff = 60 / Square(cosh(60 * x_i[1])); 202 dalpha1dy = aniso_scale_factor * 2 * (damping_coeff * dy) * (dy * d_damping_coeff + damping_coeff * d_dy_dy); 203 alpha[1] *= Square(damping_coeff); 204 } else { 205 dalpha1dy = aniso_scale_factor * 2 * dy * d_dy_dy; 206 } 207 208 CeedScalar phi = phi_bar + alpha[0] * Square(omega6) * sin(6 * omega * x_i[0]) + alpha[1] * Square(omega6) * sin(omega6 * x_i[1]); 209 phi -= dalpha1dy * omega6 * cos(omega6 * x_i[1]); 210 211 for (CeedInt j = 0; j < 5; j++) q0[j][i] = phi; 212 } 213 return 0; 214 } 215