#include #include "cctk.h" void apply_dissipation(const cGH *gh, const double *var, double *rhs, double dx[3], int order, double *epsdis) { double inv_dx[3] = { 1.0 / dx[0], 1.0 / dx[1], 1.0 / dx[2] }; int ni = gh->cctk_lsh[0]; int nj = gh->cctk_lsh[1]; int nk = gh->cctk_lsh[2]; double *y; int y_idx = -1; y = CCTK_VarDataPtr(gh, 0, "grid::y"); for (int j = 0; j < nj; j++) { if (fabs(y[CCTK_GFINDEX3D(gh, 0, j, 0)]) < 1e-8) { y_idx = j; break; } } switch (order) { case 1: #pragma omp parallel for for (int k = 1; k < nk - 1; k++) for (int i = 1; i < nk - 1; i++) { int idx = CCTK_GFINDEX3D(gh, i, y_idx, k); rhs[idx] += epsdis[idx] * ((var[idx - 1] - 2.0 * var[idx] + var[idx + 1]) * inv_dx[0] + (var[idx - 1 * ni * nj] - 2.0 * var[idx] + var[idx + 1 * ni * nj]) * inv_dx[2]); } break; case 3: #pragma omp parallel for for (int k = 2; k < nk - 2; k++) for (int i = 2; i < nk - 2; i++) { int idx = CCTK_GFINDEX3D(gh, i, y_idx, k); rhs[idx] -= epsdis[idx] / 16.0 * ((var[idx - 2] - 4.0 * var[idx - 1] + 6.0 * var[idx] - 4.0 * var[idx + 1] + var[idx + 2]) * inv_dx[0] + (var[idx - 2 * ni * nj] - 4.0 * var[idx - 1 * ni * nj] + 6.0 * var[idx] - 4.0 * var[idx + 1 * ni * nj] + var[idx + 2 * ni * nj]) * inv_dx[2]); } break; case 5: #pragma omp parallel for for (int k = 3; k < nk - 3; k++) for (int i = 3; i < nk - 3; i++) { int idx = CCTK_GFINDEX3D(gh, i, y_idx, k); rhs[idx] += epsdis[idx] / 64 * ((var[idx - 3] - 6 * var[idx - 2] + 15 * var[idx - 1] - 20 * var[idx] + 15 * var[idx + 1] - 6 * var[idx + 2] + var[idx + 3]) * inv_dx[0] + (var[idx - 3 * ni * nj] - 6 * var[idx - 2 * ni * nj] + 15 * var[idx - 1 * ni * nj] - 20 * var[idx] + 15 * var[idx + 1 * ni * nj] - 6 * var[idx + 2 * ni * nj] + var[idx + 3 * ni * nj]) * inv_dx[2]); // + (var(i,j-3,k) - 6*var(i,j-2,k) + 15*var(i,j-1,k) - 20*var(i,j,k) + 15*var(i,j+1,k) - 6*var(i,j+2,k) + var(i,j+3,k) ) * idx(2) } break; case 9: #pragma omp parallel for for (int k = 5; k < nk - 5; k++) for (int i = 5; i < nk - 5; i++) { int idx = CCTK_GFINDEX3D(gh, i, y_idx, k); rhs[idx] += epsdis[idx] / 1024 * ((var[idx - 5] - 10 * var[idx - 4] + 45 * var[idx - 3] - 120 * var[idx - 2] + 210 * var[idx - 1] - 252 * var[idx] + var[idx + 5] - 10 * var[idx + 4] + 45 * var[idx + 3] - 120 * var[idx + 2] + 210 * var[idx + 1]) * inv_dx[0] + (var[idx - 5 * ni * nj] - 10 * var[idx - 4 * ni * nj] + 45 * var[idx - 3 * ni * nj] - 120 * var[idx - 2 * ni * nj] + 210 * var[idx - 1 * ni * nj] - 252 * var[idx] + var[idx + 5 * ni * nj] - 10 * var[idx + 4 * ni * nj] + 45 * var[idx + 3 * ni * nj] - 120 * var[idx + 2 * ni * nj] + 210 * var[idx + 1 * ni * nj]) * inv_dx[2]); //$ + (var(i,j-5,k) - 10*var(i,j-4,k) + 45*var(i,j-3,k) - 120*var(i,j-2,k) + 210*var(i,j-1,k) - 252*var(i,j,k) + 210*var(i,j+1,k) - 120*var(i,j+2,k) + 45*var(i,j+3,k) - 10*var(i,j+4,k) + var(i,j+5,k)) * idx(2) } break; default: CCTK_WARN(0, "internal error"); } }