#include "macrodef.h" #include "tool.h" /* * C 版 lopsided — upwind (lopsided) advection derivatives. * * Adds advection terms to f_rhs for all three spatial directions. * Uses sign-biased (one-sided) stencils with centered fallbacks. * * For lopsided, symmetry_bd ord = ghost_width (same as kodiss). */ void lopsided(const int ex[3], const double *X, const double *Y, const double *Z, const double *f, double *f_rhs, const double *Sfx, const double *Sfy, const double *Sfz, int Symmetry, const double SoA[3]) { const double ZEO = 0.0, ONE = 1.0; const double TWO = 2.0, F6 = 6.0, EIT = 8.0; const double F3 = 3.0, F4 = 4.0, F5 = 5.0, F10 = 10.0, F12 = 12.0, F18 = 18.0; const double F9 = 9.0, F45 = 45.0, F60 = 60.0; const double F2 = 2.0, F15 = 15.0, F24 = 24.0, F30 = 30.0, F35 = 35.0; const double F50 = 50.0, F77 = 77.0, F80 = 80.0, F100 = 100.0, F150 = 150.0; const double F32 = 32.0, F168 = 168.0, F672 = 672.0, F840 = 840.0; const double F140=140.0, F378=378.0, F420=420.0, F1050=1050.0; const int NO_SYMM = 0, EQ_SYMM = 1; const int ex1 = ex[0], ex2 = ex[1], ex3 = ex[2]; const double dX = X[1] - X[0]; const double dY = Y[1] - Y[0]; const double dZ = Z[1] - Z[0]; #if (ghost_width == 2) /* ---- 2nd-order lopsided --------------------------------------------- */ { const int ord = 2; int iminF = 1, jminF = 1, kminF = 1; if (Symmetry > NO_SYMM && fabs(Z[0]) < dZ) kminF = -1; if (Symmetry > EQ_SYMM && fabs(X[0]) < dX) iminF = -1; if (Symmetry > EQ_SYMM && fabs(Y[0]) < dY) jminF = -1; const size_t nx = (size_t)ex1 + ord; const size_t ny = (size_t)ex2 + ord; const size_t nz = (size_t)ex3 + ord; const size_t fh_size = nx * ny * nz; double *fh = (double*)malloc(fh_size * sizeof(double)); if (!fh) return; symmetry_bd(ord, ex, f, fh, SoA); const double d2dx = ONE / TWO / dX; const double d2dy = ONE / TWO / dY; const double d2dz = ONE / TWO / dZ; const int imaxF = ex1, jmaxF = ex2, kmaxF = ex3; for (int k0 = 0; k0 <= ex3 - 2; ++k0) { const int kF = k0 + 1; for (int j0 = 0; j0 <= ex2 - 2; ++j0) { const int jF = j0 + 1; for (int i0 = 0; i0 <= ex1 - 2; ++i0) { const int iF = i0 + 1; const size_t p = idx_ex(i0, j0, k0, ex); /* x-direction */ const double sfx = Sfx[p]; if (sfx > ZEO) { if (i0 <= ex1 - 3) // i+2 <= imax f_rhs[p] += sfx * d2dx * ( -F3*fh[idx_fh_F_ord2(iF, jF, kF, ex)] + F4*fh[idx_fh_F_ord2(iF+1, jF, kF, ex)] - fh[idx_fh_F_ord2(iF+2, jF, kF, ex)]); else if (i0 <= ex1 - 2) // i+1 <= imax f_rhs[p] += sfx * d2dx * ( -fh[idx_fh_F_ord2(iF, jF, kF, ex)] + fh[idx_fh_F_ord2(iF+1, jF, kF, ex)]); } else if (sfx < ZEO) { if ((i0 - 1) >= iminF) // i-2 >= imin f_rhs[p] -= sfx * d2dx * ( -F3*fh[idx_fh_F_ord2(iF, jF, kF, ex)] + F4*fh[idx_fh_F_ord2(iF-1, jF, kF, ex)] - fh[idx_fh_F_ord2(iF-2, jF, kF, ex)]); else if (i0 >= iminF) // i-1 >= imin f_rhs[p] -= sfx * d2dx * ( -fh[idx_fh_F_ord2(iF, jF, kF, ex)] + fh[idx_fh_F_ord2(iF-1, jF, kF, ex)]); } /* y-direction */ const double sfy = Sfy[p]; if (sfy > ZEO) { if (j0 <= ex2-3) f_rhs[p] += sfy * d2dy * ( -F3*fh[idx_fh_F_ord2(iF, jF, kF, ex)] + F4*fh[idx_fh_F_ord2(iF, jF+1, kF, ex)] - fh[idx_fh_F_ord2(iF, jF+2, kF, ex)]); else if (j0 <= ex2-2) f_rhs[p] += sfy * d2dy * ( -fh[idx_fh_F_ord2(iF, jF, kF, ex)] + fh[idx_fh_F_ord2(iF, jF+1, kF, ex)]); } else if (sfy < ZEO) { if ((j0-1) >= jminF) f_rhs[p] -= sfy * d2dy * ( -F3*fh[idx_fh_F_ord2(iF, jF, kF, ex)] + F4*fh[idx_fh_F_ord2(iF, jF-1, kF, ex)] - fh[idx_fh_F_ord2(iF, jF-2, kF, ex)]); else if (j0 >= jminF) f_rhs[p] -= sfy * d2dy * ( -fh[idx_fh_F_ord2(iF, jF, kF, ex)] + fh[idx_fh_F_ord2(iF, jF-1, kF, ex)]); } /* z-direction */ const double sfz = Sfz[p]; if (sfz > ZEO) { if (k0 <= ex3-3) f_rhs[p] += sfz * d2dz * ( -F3*fh[idx_fh_F_ord2(iF, jF, kF, ex)] + F4*fh[idx_fh_F_ord2(iF, jF, kF+1, ex)] - fh[idx_fh_F_ord2(iF, jF, kF+2, ex)]); else if (k0 <= ex3-2) f_rhs[p] += sfz * d2dz * ( -fh[idx_fh_F_ord2(iF, jF, kF, ex)] + fh[idx_fh_F_ord2(iF, jF, kF+1, ex)]); } else if (sfz < ZEO) { if ((k0-1) >= kminF) f_rhs[p] -= sfz * d2dz * ( -F3*fh[idx_fh_F_ord2(iF, jF, kF, ex)] + F4*fh[idx_fh_F_ord2(iF, jF, kF-1, ex)] - fh[idx_fh_F_ord2(iF, jF, kF-2, ex)]); else if (k0 >= kminF) f_rhs[p] -= sfz * d2dz * ( -fh[idx_fh_F_ord2(iF, jF, kF, ex)] + fh[idx_fh_F_ord2(iF, jF, kF-1, ex)]); } } } } free(fh); return; } #elif (ghost_width == 3) /* ---- 4th-order lopsided (original code) ---------------------------- */ { const int ord = 3; int iminF = 1, jminF = 1, kminF = 1; if (Symmetry > NO_SYMM && fabs(Z[0]) < dZ) kminF = -2; if (Symmetry > EQ_SYMM && fabs(X[0]) < dX) iminF = -2; if (Symmetry > EQ_SYMM && fabs(Y[0]) < dY) jminF = -2; const size_t nx = (size_t)ex1 + ord; const size_t ny = (size_t)ex2 + ord; const size_t nz = (size_t)ex3 + ord; const size_t fh_size = nx * ny * nz; double *fh = (double*)malloc(fh_size * sizeof(double)); if (!fh) return; symmetry_bd(ord, ex, f, fh, SoA); const double d12dx = ONE / F12 / dX; const double d12dy = ONE / F12 / dY; const double d12dz = ONE / F12 / dZ; const int imaxF = ex1, jmaxF = ex2, kmaxF = ex3; for (int k0 = 0; k0 <= ex3 - 2; ++k0) { const int kF = k0 + 1; for (int j0 = 0; j0 <= ex2 - 2; ++j0) { const int jF = j0 + 1; for (int i0 = 0; i0 <= ex1 - 2; ++i0) { const int iF = i0 + 1; const size_t p = idx_ex(i0, j0, k0, ex); const double sfx = Sfx[p]; if (sfx > ZEO) { if (i0 <= ex1 - 4) // i+3 <= imax f_rhs[p] += sfx * d12dx * ( -F3 *fh[idx_fh_F(iF-1, jF, kF, ex)] -F10*fh[idx_fh_F(iF, jF, kF, ex)] +F18*fh[idx_fh_F(iF+1, jF, kF, ex)] -F6 *fh[idx_fh_F(iF+2, jF, kF, ex)] + fh[idx_fh_F(iF+3, jF, kF, ex)]); else if (i0 <= ex1 - 3) // i+2 <= imax f_rhs[p] += sfx * d12dx * ( fh[idx_fh_F(iF-2, jF, kF, ex)] -EIT*fh[idx_fh_F(iF-1, jF, kF, ex)] +EIT*fh[idx_fh_F(iF+1, jF, kF, ex)] - fh[idx_fh_F(iF+2, jF, kF, ex)]); else if (i0 <= ex1 - 2) // i+1 <= imax → mirrored f_rhs[p] -= sfx * d12dx * ( -F3 *fh[idx_fh_F(iF+1, jF, kF, ex)] -F10*fh[idx_fh_F(iF, jF, kF, ex)] +F18*fh[idx_fh_F(iF-1, jF, kF, ex)] -F6 *fh[idx_fh_F(iF-2, jF, kF, ex)] + fh[idx_fh_F(iF-3, jF, kF, ex)]); } else if (sfx < ZEO) { if ((i0 - 2) >= iminF) // i-3 >= imin f_rhs[p] -= sfx * d12dx * ( -F3 *fh[idx_fh_F(iF+1, jF, kF, ex)] -F10*fh[idx_fh_F(iF, jF, kF, ex)] +F18*fh[idx_fh_F(iF-1, jF, kF, ex)] -F6 *fh[idx_fh_F(iF-2, jF, kF, ex)] + fh[idx_fh_F(iF-3, jF, kF, ex)]); else if ((i0 - 1) >= iminF) // i-2 >= imin f_rhs[p] += sfx * d12dx * ( fh[idx_fh_F(iF-2, jF, kF, ex)] -EIT*fh[idx_fh_F(iF-1, jF, kF, ex)] +EIT*fh[idx_fh_F(iF+1, jF, kF, ex)] - fh[idx_fh_F(iF+2, jF, kF, ex)]); else if (i0 >= iminF) // i-1 >= imin → mirrored f_rhs[p] += sfx * d12dx * ( -F3 *fh[idx_fh_F(iF-1, jF, kF, ex)] -F10*fh[idx_fh_F(iF, jF, kF, ex)] +F18*fh[idx_fh_F(iF+1, jF, kF, ex)] -F6 *fh[idx_fh_F(iF+2, jF, kF, ex)] + fh[idx_fh_F(iF+3, jF, kF, ex)]); } const double sfy = Sfy[p]; if (sfy > ZEO) { if (j0 <= ex2-4) f_rhs[p] += sfy * d12dy * ( -F3*fh[idx_fh_F(iF,jF-1,kF,ex)]-F10*fh[idx_fh_F(iF,jF,kF,ex)] +F18*fh[idx_fh_F(iF,jF+1,kF,ex)]-F6*fh[idx_fh_F(iF,jF+2,kF,ex)] +fh[idx_fh_F(iF,jF+3,kF,ex)]); else if (j0 <= ex2-3) f_rhs[p] += sfy * d12dy * (fh[idx_fh_F(iF,jF-2,kF,ex)]-EIT*fh[idx_fh_F(iF,jF-1,kF,ex)]+EIT*fh[idx_fh_F(iF,jF+1,kF,ex)]-fh[idx_fh_F(iF,jF+2,kF,ex)]); else if (j0 <= ex2-2) f_rhs[p] -= sfy * d12dy * ( -F3*fh[idx_fh_F(iF,jF+1,kF,ex)]-F10*fh[idx_fh_F(iF,jF,kF,ex)] +F18*fh[idx_fh_F(iF,jF-1,kF,ex)]-F6*fh[idx_fh_F(iF,jF-2,kF,ex)] +fh[idx_fh_F(iF,jF-3,kF,ex)]); } else if (sfy < ZEO) { if ((j0-2) >= jminF) f_rhs[p] -= sfy * d12dy * ( -F3*fh[idx_fh_F(iF,jF+1,kF,ex)]-F10*fh[idx_fh_F(iF,jF,kF,ex)] +F18*fh[idx_fh_F(iF,jF-1,kF,ex)]-F6*fh[idx_fh_F(iF,jF-2,kF,ex)] +fh[idx_fh_F(iF,jF-3,kF,ex)]); else if ((j0-1) >= jminF) f_rhs[p] += sfy * d12dy * (fh[idx_fh_F(iF,jF-2,kF,ex)]-EIT*fh[idx_fh_F(iF,jF-1,kF,ex)]+EIT*fh[idx_fh_F(iF,jF+1,kF,ex)]-fh[idx_fh_F(iF,jF+2,kF,ex)]); else if (j0 >= jminF) f_rhs[p] += sfy * d12dy * ( -F3*fh[idx_fh_F(iF,jF-1,kF,ex)]-F10*fh[idx_fh_F(iF,jF,kF,ex)] +F18*fh[idx_fh_F(iF,jF+1,kF,ex)]-F6*fh[idx_fh_F(iF,jF+2,kF,ex)] +fh[idx_fh_F(iF,jF+3,kF,ex)]); } const double sfz = Sfz[p]; if (sfz > ZEO) { if (k0 <= ex3-4) f_rhs[p] += sfz * d12dz * ( -F3*fh[idx_fh_F(iF,jF,kF-1,ex)]-F10*fh[idx_fh_F(iF,jF,kF,ex)] +F18*fh[idx_fh_F(iF,jF,kF+1,ex)]-F6*fh[idx_fh_F(iF,jF,kF+2,ex)] +fh[idx_fh_F(iF,jF,kF+3,ex)]); else if (k0 <= ex3-3) f_rhs[p] += sfz * d12dz * (fh[idx_fh_F(iF,jF,kF-2,ex)]-EIT*fh[idx_fh_F(iF,jF,kF-1,ex)]+EIT*fh[idx_fh_F(iF,jF,kF+1,ex)]-fh[idx_fh_F(iF,jF,kF+2,ex)]); else if (k0 <= ex3-2) f_rhs[p] -= sfz * d12dz * ( -F3*fh[idx_fh_F(iF,jF,kF+1,ex)]-F10*fh[idx_fh_F(iF,jF,kF,ex)] +F18*fh[idx_fh_F(iF,jF,kF-1,ex)]-F6*fh[idx_fh_F(iF,jF,kF-2,ex)] +fh[idx_fh_F(iF,jF,kF-3,ex)]); } else if (sfz < ZEO) { if ((k0-2) >= kminF) f_rhs[p] -= sfz * d12dz * ( -F3*fh[idx_fh_F(iF,jF,kF+1,ex)]-F10*fh[idx_fh_F(iF,jF,kF,ex)] +F18*fh[idx_fh_F(iF,jF,kF-1,ex)]-F6*fh[idx_fh_F(iF,jF,kF-2,ex)] +fh[idx_fh_F(iF,jF,kF-3,ex)]); else if ((k0-1) >= kminF) f_rhs[p] += sfz * d12dz * (fh[idx_fh_F(iF,jF,kF-2,ex)]-EIT*fh[idx_fh_F(iF,jF,kF-1,ex)]+EIT*fh[idx_fh_F(iF,jF,kF+1,ex)]-fh[idx_fh_F(iF,jF,kF+2,ex)]); else if (k0 >= kminF) f_rhs[p] += sfz * d12dz * ( -F3*fh[idx_fh_F(iF,jF,kF-1,ex)]-F10*fh[idx_fh_F(iF,jF,kF,ex)] +F18*fh[idx_fh_F(iF,jF,kF+1,ex)]-F6*fh[idx_fh_F(iF,jF,kF+2,ex)] +fh[idx_fh_F(iF,jF,kF+3,ex)]); } } } } free(fh); return; } #elif (ghost_width == 4) /* ---- 6th-order lopsided --------------------------------------------- */ { const int ord = 4; int iminF = 1, jminF = 1, kminF = 1; if (Symmetry > NO_SYMM && fabs(Z[0]) < dZ) kminF = -3; if (Symmetry > EQ_SYMM && fabs(X[0]) < dX) iminF = -3; if (Symmetry > EQ_SYMM && fabs(Y[0]) < dY) jminF = -3; const size_t nx = (size_t)ex1 + ord; const size_t ny = (size_t)ex2 + ord; const size_t nz = (size_t)ex3 + ord; const size_t fh_size = nx * ny * nz; double *fh = (double*)malloc(fh_size * sizeof(double)); if (!fh) return; symmetry_bd(ord, ex, f, fh, SoA); const double d60dx = ONE / F60 / dX; const double d60dy = ONE / F60 / dY; const double d60dz = ONE / F60 / dZ; const double d12dx = ONE / F12 / dX; const double d12dy = ONE / F12 / dY; const double d12dz = ONE / F12 / dZ; const double d2dx = ONE / TWO / dX; const double d2dy = ONE / TWO / dY; const double d2dz = ONE / TWO / dZ; const int imaxF = ex1, jmaxF = ex2, kmaxF = ex3; for (int k0 = 0; k0 <= ex3 - 2; ++k0) { const int kF = k0 + 1; for (int j0 = 0; j0 <= ex2 - 2; ++j0) { const int jF = j0 + 1; for (int i0 = 0; i0 <= ex1 - 2; ++i0) { const int iF = i0 + 1; const size_t p = idx_ex(i0, j0, k0, ex); /* ---- x-direction ---- */ const double sfx = Sfx[p]; if (sfx > ZEO) { /* Primary biased: 2*f(i-2)-24*f(i-1)-35*f(i)+80*f(i+1)-30*f(i+2)+8*f(i+3)-f(i+4) */ if (i0 <= ex1-5 && (i0-1)>=iminF) // i+4<=imax && i-2>=imin f_rhs[p] += sfx * d60dx * ( +F2*fh[idx_fh_F_ord4(iF-2,jF,kF,ex)]-F24*fh[idx_fh_F_ord4(iF-1,jF,kF,ex)] -F35*fh[idx_fh_F_ord4(iF,jF,kF,ex)]+F80*fh[idx_fh_F_ord4(iF+1,jF,kF,ex)] -F30*fh[idx_fh_F_ord4(iF+2,jF,kF,ex)]+EIT*fh[idx_fh_F_ord4(iF+3,jF,kF,ex)] -fh[idx_fh_F_ord4(iF+4,jF,kF,ex)]); /* Boundary-adapted: -10*f(i-1)-77*f(i)+150*f(i+1)-100*f(i+2)+50*f(i+3)-15*f(i+4)+2*f(i+5) */ else if (i0 <= ex1-6 && i0 >= iminF) // i+5<=imax && i-1>=imin f_rhs[p] += sfx * d60dx * ( -F10*fh[idx_fh_F_ord4(iF-1,jF,kF,ex)]-F77*fh[idx_fh_F_ord4(iF,jF,kF,ex)] +F150*fh[idx_fh_F_ord4(iF+1,jF,kF,ex)]-F100*fh[idx_fh_F_ord4(iF+2,jF,kF,ex)] +F50*fh[idx_fh_F_ord4(iF+3,jF,kF,ex)]-F15*fh[idx_fh_F_ord4(iF+4,jF,kF,ex)] +F2*fh[idx_fh_F_ord4(iF+5,jF,kF,ex)]); /* Centered fallbacks */ else if (i0 <= ex1-4 && (i0-2)>=iminF) // 6th: i+3<=imax && i-3>=imin f_rhs[p] += sfx * d60dx * ( -fh[idx_fh_F_ord4(iF-3,jF,kF,ex)]+F9*fh[idx_fh_F_ord4(iF-2,jF,kF,ex)] -F45*fh[idx_fh_F_ord4(iF-1,jF,kF,ex)]+F45*fh[idx_fh_F_ord4(iF+1,jF,kF,ex)] -F9*fh[idx_fh_F_ord4(iF+2,jF,kF,ex)]+fh[idx_fh_F_ord4(iF+3,jF,kF,ex)]); else if (i0 <= ex1-3 && (i0-1)>=iminF) // 4th f_rhs[p] += sfx * d12dx * ( fh[idx_fh_F_ord4(iF-2,jF,kF,ex)]-EIT*fh[idx_fh_F_ord4(iF-1,jF,kF,ex)] +EIT*fh[idx_fh_F_ord4(iF+1,jF,kF,ex)]-fh[idx_fh_F_ord4(iF+2,jF,kF,ex)]); else if (i0 <= ex1-2 && i0>=iminF) // 2nd f_rhs[p] += sfx * d2dx * ( -fh[idx_fh_F_ord4(iF-1,jF,kF,ex)]+fh[idx_fh_F_ord4(iF+1,jF,kF,ex)]); } else if (sfx < ZEO) { if ((i0-3)>=iminF && i0<=ex1-3) // i-4>=imin && i+2<=imax f_rhs[p] -= sfx * d60dx * ( +F2*fh[idx_fh_F_ord4(iF+2,jF,kF,ex)]-F24*fh[idx_fh_F_ord4(iF+1,jF,kF,ex)] -F35*fh[idx_fh_F_ord4(iF,jF,kF,ex)]+F80*fh[idx_fh_F_ord4(iF-1,jF,kF,ex)] -F30*fh[idx_fh_F_ord4(iF-2,jF,kF,ex)]+EIT*fh[idx_fh_F_ord4(iF-3,jF,kF,ex)] -fh[idx_fh_F_ord4(iF-4,jF,kF,ex)]); else if ((i0-4)>=iminF && i0<=ex1-2) // i-5>=imin && i+1<=imax f_rhs[p] -= sfx * d60dx * ( -F10*fh[idx_fh_F_ord4(iF+1,jF,kF,ex)]-F77*fh[idx_fh_F_ord4(iF,jF,kF,ex)] +F150*fh[idx_fh_F_ord4(iF-1,jF,kF,ex)]-F100*fh[idx_fh_F_ord4(iF-2,jF,kF,ex)] +F50*fh[idx_fh_F_ord4(iF-3,jF,kF,ex)]-F15*fh[idx_fh_F_ord4(iF-4,jF,kF,ex)] +F2*fh[idx_fh_F_ord4(iF-5,jF,kF,ex)]); else if ((i0-2)>=iminF && i0<=ex1-4) // 6th centered f_rhs[p] += sfx * d60dx * ( -fh[idx_fh_F_ord4(iF-3,jF,kF,ex)]+F9*fh[idx_fh_F_ord4(iF-2,jF,kF,ex)] -F45*fh[idx_fh_F_ord4(iF-1,jF,kF,ex)]+F45*fh[idx_fh_F_ord4(iF+1,jF,kF,ex)] -F9*fh[idx_fh_F_ord4(iF+2,jF,kF,ex)]+fh[idx_fh_F_ord4(iF+3,jF,kF,ex)]); else if ((i0-1)>=iminF && i0<=ex1-3) // 4th f_rhs[p] += sfx * d12dx * ( fh[idx_fh_F_ord4(iF-2,jF,kF,ex)]-EIT*fh[idx_fh_F_ord4(iF-1,jF,kF,ex)] +EIT*fh[idx_fh_F_ord4(iF+1,jF,kF,ex)]-fh[idx_fh_F_ord4(iF+2,jF,kF,ex)]); else if (i0>=iminF && i0<=ex1-2) // 2nd f_rhs[p] += sfx * d2dx * ( -fh[idx_fh_F_ord4(iF-1,jF,kF,ex)]+fh[idx_fh_F_ord4(iF+1,jF,kF,ex)]); } /* ---- y-direction ---- */ const double sfy = Sfy[p]; if (sfy > ZEO) { if (j0<=ex2-5 && (j0-1)>=jminF) f_rhs[p] += sfy * d60dy*(F2*fh[idx_fh_F_ord4(iF,jF-2,kF,ex)]-F24*fh[idx_fh_F_ord4(iF,jF-1,kF,ex)]-F35*fh[idx_fh_F_ord4(iF,jF,kF,ex)]+F80*fh[idx_fh_F_ord4(iF,jF+1,kF,ex)]-F30*fh[idx_fh_F_ord4(iF,jF+2,kF,ex)]+EIT*fh[idx_fh_F_ord4(iF,jF+3,kF,ex)]-fh[idx_fh_F_ord4(iF,jF+4,kF,ex)]); else if (j0<=ex2-6 && j0>=jminF) f_rhs[p] += sfy * d60dy*(-F10*fh[idx_fh_F_ord4(iF,jF-1,kF,ex)]-F77*fh[idx_fh_F_ord4(iF,jF,kF,ex)]+F150*fh[idx_fh_F_ord4(iF,jF+1,kF,ex)]-F100*fh[idx_fh_F_ord4(iF,jF+2,kF,ex)]+F50*fh[idx_fh_F_ord4(iF,jF+3,kF,ex)]-F15*fh[idx_fh_F_ord4(iF,jF+4,kF,ex)]+F2*fh[idx_fh_F_ord4(iF,jF+5,kF,ex)]); else if (j0<=ex2-4 && (j0-2)>=jminF) f_rhs[p] += sfy * d60dy*(-fh[idx_fh_F_ord4(iF,jF-3,kF,ex)]+F9*fh[idx_fh_F_ord4(iF,jF-2,kF,ex)]-F45*fh[idx_fh_F_ord4(iF,jF-1,kF,ex)]+F45*fh[idx_fh_F_ord4(iF,jF+1,kF,ex)]-F9*fh[idx_fh_F_ord4(iF,jF+2,kF,ex)]+fh[idx_fh_F_ord4(iF,jF+3,kF,ex)]); else if (j0<=ex2-3 && (j0-1)>=jminF) f_rhs[p] += sfy * d12dy*(fh[idx_fh_F_ord4(iF,jF-2,kF,ex)]-EIT*fh[idx_fh_F_ord4(iF,jF-1,kF,ex)]+EIT*fh[idx_fh_F_ord4(iF,jF+1,kF,ex)]-fh[idx_fh_F_ord4(iF,jF+2,kF,ex)]); else if (j0<=ex2-2 && j0>=jminF) f_rhs[p] += sfy * d2dy*(-fh[idx_fh_F_ord4(iF,jF-1,kF,ex)]+fh[idx_fh_F_ord4(iF,jF+1,kF,ex)]); } else if (sfy < ZEO) { if ((j0-3)>=jminF && j0<=ex2-3) f_rhs[p] -= sfy * d60dy*(F2*fh[idx_fh_F_ord4(iF,jF+2,kF,ex)]-F24*fh[idx_fh_F_ord4(iF,jF+1,kF,ex)]-F35*fh[idx_fh_F_ord4(iF,jF,kF,ex)]+F80*fh[idx_fh_F_ord4(iF,jF-1,kF,ex)]-F30*fh[idx_fh_F_ord4(iF,jF-2,kF,ex)]+EIT*fh[idx_fh_F_ord4(iF,jF-3,kF,ex)]-fh[idx_fh_F_ord4(iF,jF-4,kF,ex)]); else if ((j0-4)>=jminF && j0<=ex2-2) f_rhs[p] -= sfy * d60dy*(-F10*fh[idx_fh_F_ord4(iF,jF+1,kF,ex)]-F77*fh[idx_fh_F_ord4(iF,jF,kF,ex)]+F150*fh[idx_fh_F_ord4(iF,jF-1,kF,ex)]-F100*fh[idx_fh_F_ord4(iF,jF-2,kF,ex)]+F50*fh[idx_fh_F_ord4(iF,jF-3,kF,ex)]-F15*fh[idx_fh_F_ord4(iF,jF-4,kF,ex)]+F2*fh[idx_fh_F_ord4(iF,jF-5,kF,ex)]); else if ((j0-2)>=jminF && j0<=ex2-4) f_rhs[p] += sfy * d60dy*(-fh[idx_fh_F_ord4(iF,jF-3,kF,ex)]+F9*fh[idx_fh_F_ord4(iF,jF-2,kF,ex)]-F45*fh[idx_fh_F_ord4(iF,jF-1,kF,ex)]+F45*fh[idx_fh_F_ord4(iF,jF+1,kF,ex)]-F9*fh[idx_fh_F_ord4(iF,jF+2,kF,ex)]+fh[idx_fh_F_ord4(iF,jF+3,kF,ex)]); else if ((j0-1)>=jminF && j0<=ex2-3) f_rhs[p] += sfy * d12dy*(fh[idx_fh_F_ord4(iF,jF-2,kF,ex)]-EIT*fh[idx_fh_F_ord4(iF,jF-1,kF,ex)]+EIT*fh[idx_fh_F_ord4(iF,jF+1,kF,ex)]-fh[idx_fh_F_ord4(iF,jF+2,kF,ex)]); else if (j0>=jminF && j0<=ex2-2) f_rhs[p] += sfy * d2dy*(-fh[idx_fh_F_ord4(iF,jF-1,kF,ex)]+fh[idx_fh_F_ord4(iF,jF+1,kF,ex)]); } /* ---- z-direction ---- */ const double sfz = Sfz[p]; if (sfz > ZEO) { if (k0<=ex3-5 && (k0-1)>=kminF) f_rhs[p] += sfz * d60dz*(F2*fh[idx_fh_F_ord4(iF,jF,kF-2,ex)]-F24*fh[idx_fh_F_ord4(iF,jF,kF-1,ex)]-F35*fh[idx_fh_F_ord4(iF,jF,kF,ex)]+F80*fh[idx_fh_F_ord4(iF,jF,kF+1,ex)]-F30*fh[idx_fh_F_ord4(iF,jF,kF+2,ex)]+EIT*fh[idx_fh_F_ord4(iF,jF,kF+3,ex)]-fh[idx_fh_F_ord4(iF,jF,kF+4,ex)]); else if (k0<=ex3-6 && k0>=kminF) f_rhs[p] += sfz * d60dz*(-F10*fh[idx_fh_F_ord4(iF,jF,kF-1,ex)]-F77*fh[idx_fh_F_ord4(iF,jF,kF,ex)]+F150*fh[idx_fh_F_ord4(iF,jF,kF+1,ex)]-F100*fh[idx_fh_F_ord4(iF,jF,kF+2,ex)]+F50*fh[idx_fh_F_ord4(iF,jF,kF+3,ex)]-F15*fh[idx_fh_F_ord4(iF,jF,kF+4,ex)]+F2*fh[idx_fh_F_ord4(iF,jF,kF+5,ex)]); else if (k0<=ex3-4 && (k0-2)>=kminF) f_rhs[p] += sfz * d60dz*(-fh[idx_fh_F_ord4(iF,jF,kF-3,ex)]+F9*fh[idx_fh_F_ord4(iF,jF,kF-2,ex)]-F45*fh[idx_fh_F_ord4(iF,jF,kF-1,ex)]+F45*fh[idx_fh_F_ord4(iF,jF,kF+1,ex)]-F9*fh[idx_fh_F_ord4(iF,jF,kF+2,ex)]+fh[idx_fh_F_ord4(iF,jF,kF+3,ex)]); else if (k0<=ex3-3 && (k0-1)>=kminF) f_rhs[p] += sfz * d12dz*(fh[idx_fh_F_ord4(iF,jF,kF-2,ex)]-EIT*fh[idx_fh_F_ord4(iF,jF,kF-1,ex)]+EIT*fh[idx_fh_F_ord4(iF,jF,kF+1,ex)]-fh[idx_fh_F_ord4(iF,jF,kF+2,ex)]); else if (k0<=ex3-2 && k0>=kminF) f_rhs[p] += sfz * d2dz*(-fh[idx_fh_F_ord4(iF,jF,kF-1,ex)]+fh[idx_fh_F_ord4(iF,jF,kF+1,ex)]); } else if (sfz < ZEO) { if ((k0-3)>=kminF && k0<=ex3-3) f_rhs[p] -= sfz * d60dz*(F2*fh[idx_fh_F_ord4(iF,jF,kF+2,ex)]-F24*fh[idx_fh_F_ord4(iF,jF,kF+1,ex)]-F35*fh[idx_fh_F_ord4(iF,jF,kF,ex)]+F80*fh[idx_fh_F_ord4(iF,jF,kF-1,ex)]-F30*fh[idx_fh_F_ord4(iF,jF,kF-2,ex)]+EIT*fh[idx_fh_F_ord4(iF,jF,kF-3,ex)]-fh[idx_fh_F_ord4(iF,jF,kF-4,ex)]); else if ((k0-4)>=kminF && k0<=ex3-2) f_rhs[p] -= sfz * d60dz*(-F10*fh[idx_fh_F_ord4(iF,jF,kF+1,ex)]-F77*fh[idx_fh_F_ord4(iF,jF,kF,ex)]+F150*fh[idx_fh_F_ord4(iF,jF,kF-1,ex)]-F100*fh[idx_fh_F_ord4(iF,jF,kF-2,ex)]+F50*fh[idx_fh_F_ord4(iF,jF,kF-3,ex)]-F15*fh[idx_fh_F_ord4(iF,jF,kF-4,ex)]+F2*fh[idx_fh_F_ord4(iF,jF,kF-5,ex)]); else if ((k0-2)>=kminF && k0<=ex3-4) f_rhs[p] += sfz * d60dz*(-fh[idx_fh_F_ord4(iF,jF,kF-3,ex)]+F9*fh[idx_fh_F_ord4(iF,jF,kF-2,ex)]-F45*fh[idx_fh_F_ord4(iF,jF,kF-1,ex)]+F45*fh[idx_fh_F_ord4(iF,jF,kF+1,ex)]-F9*fh[idx_fh_F_ord4(iF,jF,kF+2,ex)]+fh[idx_fh_F_ord4(iF,jF,kF+3,ex)]); else if ((k0-1)>=kminF && k0<=ex3-3) f_rhs[p] += sfz * d12dz*(fh[idx_fh_F_ord4(iF,jF,kF-2,ex)]-EIT*fh[idx_fh_F_ord4(iF,jF,kF-1,ex)]+EIT*fh[idx_fh_F_ord4(iF,jF,kF+1,ex)]-fh[idx_fh_F_ord4(iF,jF,kF+2,ex)]); else if (k0>=kminF && k0<=ex3-2) f_rhs[p] += sfz * d2dz*(-fh[idx_fh_F_ord4(iF,jF,kF-1,ex)]+fh[idx_fh_F_ord4(iF,jF,kF+1,ex)]); } } } } free(fh); return; } #elif (ghost_width == 5) /* ---- 8th-order lopsided --------------------------------------------- */ { const int ord = 5; int iminF = 1, jminF = 1, kminF = 1; if (Symmetry > NO_SYMM && fabs(Z[0]) < dZ) kminF = -4; if (Symmetry > EQ_SYMM && fabs(X[0]) < dX) iminF = -4; if (Symmetry > EQ_SYMM && fabs(Y[0]) < dY) jminF = -4; const size_t nx = (size_t)ex1 + ord; const size_t ny = (size_t)ex2 + ord; const size_t nz = (size_t)ex3 + ord; const size_t fh_size = nx * ny * nz; double *fh = (double*)malloc(fh_size * sizeof(double)); if (!fh) return; symmetry_bd(ord, ex, f, fh, SoA); const double d840dx = ONE / F840 / dX; const double d840dy = ONE / F840 / dY; const double d840dz = ONE / F840 / dZ; const double d60dx = ONE / F60 / dX; const double d60dy = ONE / F60 / dY; const double d60dz = ONE / F60 / dZ; const double d12dx = ONE / F12 / dX; const double d12dy = ONE / F12 / dY; const double d12dz = ONE / F12 / dZ; const double d2dx = ONE / TWO / dX; const double d2dy = ONE / TWO / dY; const double d2dz = ONE / TWO / dZ; const int imaxF = ex1, jmaxF = ex2, kmaxF = ex3; for (int k0 = 0; k0 <= ex3 - 2; ++k0) { const int kF = k0 + 1; for (int j0 = 0; j0 <= ex2 - 2; ++j0) { const int jF = j0 + 1; for (int i0 = 0; i0 <= ex1 - 2; ++i0) { const int iF = i0 + 1; const size_t p = idx_ex(i0, j0, k0, ex); const double sfx = Sfx[p]; if (sfx > ZEO) { /* 8th biased: -5*f(i-3)+60*f(i-2)-420*f(i-1)-378*f(i)+1050*f(i+1)-420*f(i+2)+140*f(i+3)-30*f(i+4)+3*f(i+5) */ if (i0 <= ex1-6 && (i0-2)>=iminF) // i+5<=imax && i-3>=imin f_rhs[p] += sfx * d840dx * ( -F5*fh[idx_fh_F_ord5(iF-3,jF,kF,ex)]+F60*fh[idx_fh_F_ord5(iF-2,jF,kF,ex)] -F420*fh[idx_fh_F_ord5(iF-1,jF,kF,ex)]-F378*fh[idx_fh_F_ord5(iF,jF,kF,ex)] +F1050*fh[idx_fh_F_ord5(iF+1,jF,kF,ex)]-F420*fh[idx_fh_F_ord5(iF+2,jF,kF,ex)] +F140*fh[idx_fh_F_ord5(iF+3,jF,kF,ex)]-F30*fh[idx_fh_F_ord5(iF+4,jF,kF,ex)] +F3*fh[idx_fh_F_ord5(iF+5,jF,kF,ex)]); /* 8th centered: +3*f(i-4)-32*f(i-3)+168*f(i-2)-672*f(i-1)+672*f(i+1)-168*f(i+2)+32*f(i+3)-3*f(i+4) */ else if (i0 <= ex1-5 && (i0-3)>=iminF) f_rhs[p] += sfx * d840dx * ( +F3*fh[idx_fh_F_ord5(iF-4,jF,kF,ex)]-F32*fh[idx_fh_F_ord5(iF-3,jF,kF,ex)] +F168*fh[idx_fh_F_ord5(iF-2,jF,kF,ex)]-F672*fh[idx_fh_F_ord5(iF-1,jF,kF,ex)] +F672*fh[idx_fh_F_ord5(iF+1,jF,kF,ex)]-F168*fh[idx_fh_F_ord5(iF+2,jF,kF,ex)] +F32*fh[idx_fh_F_ord5(iF+3,jF,kF,ex)]-F3*fh[idx_fh_F_ord5(iF+4,jF,kF,ex)]); else if (i0 <= ex1-4 && (i0-2)>=iminF) // 6th centered f_rhs[p] += sfx * d60dx * ( -fh[idx_fh_F_ord5(iF-3,jF,kF,ex)]+F9*fh[idx_fh_F_ord5(iF-2,jF,kF,ex)] -F45*fh[idx_fh_F_ord5(iF-1,jF,kF,ex)]+F45*fh[idx_fh_F_ord5(iF+1,jF,kF,ex)] -F9*fh[idx_fh_F_ord5(iF+2,jF,kF,ex)]+fh[idx_fh_F_ord5(iF+3,jF,kF,ex)]); else if (i0 <= ex1-3 && (i0-1)>=iminF) // 4th centered f_rhs[p] += sfx * d12dx * ( fh[idx_fh_F_ord5(iF-2,jF,kF,ex)]-EIT*fh[idx_fh_F_ord5(iF-1,jF,kF,ex)] +EIT*fh[idx_fh_F_ord5(iF+1,jF,kF,ex)]-fh[idx_fh_F_ord5(iF+2,jF,kF,ex)]); else if (i0 <= ex1-2 && i0>=iminF) // 2nd centered f_rhs[p] += sfx * d2dx * ( -fh[idx_fh_F_ord5(iF-1,jF,kF,ex)]+fh[idx_fh_F_ord5(iF+1,jF,kF,ex)]); } else if (sfx < ZEO) { if ((i0-4)>=iminF && i0<=ex1-4) f_rhs[p] -= sfx * d840dx * ( -F5*fh[idx_fh_F_ord5(iF+3,jF,kF,ex)]+F60*fh[idx_fh_F_ord5(iF+2,jF,kF,ex)] -F420*fh[idx_fh_F_ord5(iF+1,jF,kF,ex)]-F378*fh[idx_fh_F_ord5(iF,jF,kF,ex)] +F1050*fh[idx_fh_F_ord5(iF-1,jF,kF,ex)]-F420*fh[idx_fh_F_ord5(iF-2,jF,kF,ex)] +F140*fh[idx_fh_F_ord5(iF-3,jF,kF,ex)]-F30*fh[idx_fh_F_ord5(iF-4,jF,kF,ex)] +F3*fh[idx_fh_F_ord5(iF-5,jF,kF,ex)]); else if ((i0-3)>=iminF && i0<=ex1-5) // 8th centered f_rhs[p] += sfx * d840dx * ( +F3*fh[idx_fh_F_ord5(iF-4,jF,kF,ex)]-F32*fh[idx_fh_F_ord5(iF-3,jF,kF,ex)] +F168*fh[idx_fh_F_ord5(iF-2,jF,kF,ex)]-F672*fh[idx_fh_F_ord5(iF-1,jF,kF,ex)] +F672*fh[idx_fh_F_ord5(iF+1,jF,kF,ex)]-F168*fh[idx_fh_F_ord5(iF+2,jF,kF,ex)] +F32*fh[idx_fh_F_ord5(iF+3,jF,kF,ex)]-F3*fh[idx_fh_F_ord5(iF+4,jF,kF,ex)]); else if ((i0-2)>=iminF && i0<=ex1-4) // 6th centered f_rhs[p] += sfx * d60dx * ( -fh[idx_fh_F_ord5(iF-3,jF,kF,ex)]+F9*fh[idx_fh_F_ord5(iF-2,jF,kF,ex)] -F45*fh[idx_fh_F_ord5(iF-1,jF,kF,ex)]+F45*fh[idx_fh_F_ord5(iF+1,jF,kF,ex)] -F9*fh[idx_fh_F_ord5(iF+2,jF,kF,ex)]+fh[idx_fh_F_ord5(iF+3,jF,kF,ex)]); else if ((i0-1)>=iminF && i0<=ex1-3) // 4th centered f_rhs[p] += sfx * d12dx * ( fh[idx_fh_F_ord5(iF-2,jF,kF,ex)]-EIT*fh[idx_fh_F_ord5(iF-1,jF,kF,ex)] +EIT*fh[idx_fh_F_ord5(iF+1,jF,kF,ex)]-fh[idx_fh_F_ord5(iF+2,jF,kF,ex)]); else if (i0>=iminF && i0<=ex1-2) // 2nd centered f_rhs[p] += sfx * d2dx * ( -fh[idx_fh_F_ord5(iF-1,jF,kF,ex)]+fh[idx_fh_F_ord5(iF+1,jF,kF,ex)]); } const double sfy = Sfy[p]; if (sfy > ZEO) { if (j0<=ex2-6 && (j0-2)>=jminF) f_rhs[p] += sfy * d840dy*(-F5*fh[idx_fh_F_ord5(iF,jF-3,kF,ex)]+F60*fh[idx_fh_F_ord5(iF,jF-2,kF,ex)]-F420*fh[idx_fh_F_ord5(iF,jF-1,kF,ex)]-F378*fh[idx_fh_F_ord5(iF,jF,kF,ex)]+F1050*fh[idx_fh_F_ord5(iF,jF+1,kF,ex)]-F420*fh[idx_fh_F_ord5(iF,jF+2,kF,ex)]+F140*fh[idx_fh_F_ord5(iF,jF+3,kF,ex)]-F30*fh[idx_fh_F_ord5(iF,jF+4,kF,ex)]+F3*fh[idx_fh_F_ord5(iF,jF+5,kF,ex)]); else if (j0<=ex2-5 && (j0-3)>=jminF) f_rhs[p] += sfy * d840dy*(+F3*fh[idx_fh_F_ord5(iF,jF-4,kF,ex)]-F32*fh[idx_fh_F_ord5(iF,jF-3,kF,ex)]+F168*fh[idx_fh_F_ord5(iF,jF-2,kF,ex)]-F672*fh[idx_fh_F_ord5(iF,jF-1,kF,ex)]+F672*fh[idx_fh_F_ord5(iF,jF+1,kF,ex)]-F168*fh[idx_fh_F_ord5(iF,jF+2,kF,ex)]+F32*fh[idx_fh_F_ord5(iF,jF+3,kF,ex)]-F3*fh[idx_fh_F_ord5(iF,jF+4,kF,ex)]); else if (j0<=ex2-4 && (j0-2)>=jminF) f_rhs[p] += sfy * d60dy*(-fh[idx_fh_F_ord5(iF,jF-3,kF,ex)]+F9*fh[idx_fh_F_ord5(iF,jF-2,kF,ex)]-F45*fh[idx_fh_F_ord5(iF,jF-1,kF,ex)]+F45*fh[idx_fh_F_ord5(iF,jF+1,kF,ex)]-F9*fh[idx_fh_F_ord5(iF,jF+2,kF,ex)]+fh[idx_fh_F_ord5(iF,jF+3,kF,ex)]); else if (j0<=ex2-3 && (j0-1)>=jminF) f_rhs[p] += sfy * d12dy*(fh[idx_fh_F_ord5(iF,jF-2,kF,ex)]-EIT*fh[idx_fh_F_ord5(iF,jF-1,kF,ex)]+EIT*fh[idx_fh_F_ord5(iF,jF+1,kF,ex)]-fh[idx_fh_F_ord5(iF,jF+2,kF,ex)]); else if (j0<=ex2-2 && j0>=jminF) f_rhs[p] += sfy * d2dy*(-fh[idx_fh_F_ord5(iF,jF-1,kF,ex)]+fh[idx_fh_F_ord5(iF,jF+1,kF,ex)]); } else if (sfy < ZEO) { if ((j0-4)>=jminF && j0<=ex2-4) f_rhs[p] -= sfy * d840dy*(-F5*fh[idx_fh_F_ord5(iF,jF+3,kF,ex)]+F60*fh[idx_fh_F_ord5(iF,jF+2,kF,ex)]-F420*fh[idx_fh_F_ord5(iF,jF+1,kF,ex)]-F378*fh[idx_fh_F_ord5(iF,jF,kF,ex)]+F1050*fh[idx_fh_F_ord5(iF,jF-1,kF,ex)]-F420*fh[idx_fh_F_ord5(iF,jF-2,kF,ex)]+F140*fh[idx_fh_F_ord5(iF,jF-3,kF,ex)]-F30*fh[idx_fh_F_ord5(iF,jF-4,kF,ex)]+F3*fh[idx_fh_F_ord5(iF,jF-5,kF,ex)]); else if ((j0-3)>=jminF && j0<=ex2-5) f_rhs[p] += sfy * d840dy*(+F3*fh[idx_fh_F_ord5(iF,jF-4,kF,ex)]-F32*fh[idx_fh_F_ord5(iF,jF-3,kF,ex)]+F168*fh[idx_fh_F_ord5(iF,jF-2,kF,ex)]-F672*fh[idx_fh_F_ord5(iF,jF-1,kF,ex)]+F672*fh[idx_fh_F_ord5(iF,jF+1,kF,ex)]-F168*fh[idx_fh_F_ord5(iF,jF+2,kF,ex)]+F32*fh[idx_fh_F_ord5(iF,jF+3,kF,ex)]-F3*fh[idx_fh_F_ord5(iF,jF+4,kF,ex)]); else if ((j0-2)>=jminF && j0<=ex2-4) f_rhs[p] += sfy * d60dy*(-fh[idx_fh_F_ord5(iF,jF-3,kF,ex)]+F9*fh[idx_fh_F_ord5(iF,jF-2,kF,ex)]-F45*fh[idx_fh_F_ord5(iF,jF-1,kF,ex)]+F45*fh[idx_fh_F_ord5(iF,jF+1,kF,ex)]-F9*fh[idx_fh_F_ord5(iF,jF+2,kF,ex)]+fh[idx_fh_F_ord5(iF,jF+3,kF,ex)]); else if ((j0-1)>=jminF && j0<=ex2-3) f_rhs[p] += sfy * d12dy*(fh[idx_fh_F_ord5(iF,jF-2,kF,ex)]-EIT*fh[idx_fh_F_ord5(iF,jF-1,kF,ex)]+EIT*fh[idx_fh_F_ord5(iF,jF+1,kF,ex)]-fh[idx_fh_F_ord5(iF,jF+2,kF,ex)]); else if (j0>=jminF && j0<=ex2-2) f_rhs[p] += sfy * d2dy*(-fh[idx_fh_F_ord5(iF,jF-1,kF,ex)]+fh[idx_fh_F_ord5(iF,jF+1,kF,ex)]); } const double sfz = Sfz[p]; if (sfz > ZEO) { if (k0<=ex3-6 && (k0-2)>=kminF) f_rhs[p] += sfz * d840dz*(-F5*fh[idx_fh_F_ord5(iF,jF,kF-3,ex)]+F60*fh[idx_fh_F_ord5(iF,jF,kF-2,ex)]-F420*fh[idx_fh_F_ord5(iF,jF,kF-1,ex)]-F378*fh[idx_fh_F_ord5(iF,jF,kF,ex)]+F1050*fh[idx_fh_F_ord5(iF,jF,kF+1,ex)]-F420*fh[idx_fh_F_ord5(iF,jF,kF+2,ex)]+F140*fh[idx_fh_F_ord5(iF,jF,kF+3,ex)]-F30*fh[idx_fh_F_ord5(iF,jF,kF+4,ex)]+F3*fh[idx_fh_F_ord5(iF,jF,kF+5,ex)]); else if (k0<=ex3-5 && (k0-3)>=kminF) f_rhs[p] += sfz * d840dz*(+F3*fh[idx_fh_F_ord5(iF,jF,kF-4,ex)]-F32*fh[idx_fh_F_ord5(iF,jF,kF-3,ex)]+F168*fh[idx_fh_F_ord5(iF,jF,kF-2,ex)]-F672*fh[idx_fh_F_ord5(iF,jF,kF-1,ex)]+F672*fh[idx_fh_F_ord5(iF,jF,kF+1,ex)]-F168*fh[idx_fh_F_ord5(iF,jF,kF+2,ex)]+F32*fh[idx_fh_F_ord5(iF,jF,kF+3,ex)]-F3*fh[idx_fh_F_ord5(iF,jF,kF+4,ex)]); else if (k0<=ex3-4 && (k0-2)>=kminF) f_rhs[p] += sfz * d60dz*(-fh[idx_fh_F_ord5(iF,jF,kF-3,ex)]+F9*fh[idx_fh_F_ord5(iF,jF,kF-2,ex)]-F45*fh[idx_fh_F_ord5(iF,jF,kF-1,ex)]+F45*fh[idx_fh_F_ord5(iF,jF,kF+1,ex)]-F9*fh[idx_fh_F_ord5(iF,jF,kF+2,ex)]+fh[idx_fh_F_ord5(iF,jF,kF+3,ex)]); else if (k0<=ex3-3 && (k0-1)>=kminF) f_rhs[p] += sfz * d12dz*(fh[idx_fh_F_ord5(iF,jF,kF-2,ex)]-EIT*fh[idx_fh_F_ord5(iF,jF,kF-1,ex)]+EIT*fh[idx_fh_F_ord5(iF,jF,kF+1,ex)]-fh[idx_fh_F_ord5(iF,jF,kF+2,ex)]); else if (k0<=ex3-2 && k0>=kminF) f_rhs[p] += sfz * d2dz*(-fh[idx_fh_F_ord5(iF,jF,kF-1,ex)]+fh[idx_fh_F_ord5(iF,jF,kF+1,ex)]); } else if (sfz < ZEO) { if ((k0-4)>=kminF && k0<=ex3-4) f_rhs[p] -= sfz * d840dz*(-F5*fh[idx_fh_F_ord5(iF,jF,kF+3,ex)]+F60*fh[idx_fh_F_ord5(iF,jF,kF+2,ex)]-F420*fh[idx_fh_F_ord5(iF,jF,kF+1,ex)]-F378*fh[idx_fh_F_ord5(iF,jF,kF,ex)]+F1050*fh[idx_fh_F_ord5(iF,jF,kF-1,ex)]-F420*fh[idx_fh_F_ord5(iF,jF,kF-2,ex)]+F140*fh[idx_fh_F_ord5(iF,jF,kF-3,ex)]-F30*fh[idx_fh_F_ord5(iF,jF,kF-4,ex)]+F3*fh[idx_fh_F_ord5(iF,jF,kF-5,ex)]); else if ((k0-3)>=kminF && k0<=ex3-5) f_rhs[p] += sfz * d840dz*(+F3*fh[idx_fh_F_ord5(iF,jF,kF-4,ex)]-F32*fh[idx_fh_F_ord5(iF,jF,kF-3,ex)]+F168*fh[idx_fh_F_ord5(iF,jF,kF-2,ex)]-F672*fh[idx_fh_F_ord5(iF,jF,kF-1,ex)]+F672*fh[idx_fh_F_ord5(iF,jF,kF+1,ex)]-F168*fh[idx_fh_F_ord5(iF,jF,kF+2,ex)]+F32*fh[idx_fh_F_ord5(iF,jF,kF+3,ex)]-F3*fh[idx_fh_F_ord5(iF,jF,kF+4,ex)]); else if ((k0-2)>=kminF && k0<=ex3-4) f_rhs[p] += sfz * d60dz*(-fh[idx_fh_F_ord5(iF,jF,kF-3,ex)]+F9*fh[idx_fh_F_ord5(iF,jF,kF-2,ex)]-F45*fh[idx_fh_F_ord5(iF,jF,kF-1,ex)]+F45*fh[idx_fh_F_ord5(iF,jF,kF+1,ex)]-F9*fh[idx_fh_F_ord5(iF,jF,kF+2,ex)]+fh[idx_fh_F_ord5(iF,jF,kF+3,ex)]); else if ((k0-1)>=kminF && k0<=ex3-3) f_rhs[p] += sfz * d12dz*(fh[idx_fh_F_ord5(iF,jF,kF-2,ex)]-EIT*fh[idx_fh_F_ord5(iF,jF,kF-1,ex)]+EIT*fh[idx_fh_F_ord5(iF,jF,kF+1,ex)]-fh[idx_fh_F_ord5(iF,jF,kF+2,ex)]); else if (k0>=kminF && k0<=ex3-2) f_rhs[p] += sfz * d2dz*(-fh[idx_fh_F_ord5(iF,jF,kF-1,ex)]+fh[idx_fh_F_ord5(iF,jF,kF+1,ex)]); } } } } free(fh); return; } #else #error "lopsided_c.C: unsupported ghost_width (must be 2, 3, 4, or 5)" #endif }