diff options
Diffstat (limited to 'ML_ADMQuantities/src/Differencing.h')
| -rw-r--r-- | ML_ADMQuantities/src/Differencing.h | 36 |
1 files changed, 18 insertions, 18 deletions
diff --git a/ML_ADMQuantities/src/Differencing.h b/ML_ADMQuantities/src/Differencing.h index 1cdce99..887bd19 100644 --- a/ML_ADMQuantities/src/Differencing.h +++ b/ML_ADMQuantities/src/Differencing.h @@ -1,18 +1,18 @@ -#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*(u)[index+di*(-1)+dj*(0)+dk*(0)] + 8*(u)[index+di*(1)+dj*(0)+dk*(0)] + (u)[index+di*(-2)+dj*(0)+dk*(0)] - (u)[index+di*(2)+dj*(0)+dk*(0)])) -#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*(u)[index+di*(0)+dj*(-1)+dk*(0)] + 8*(u)[index+di*(0)+dj*(1)+dk*(0)] + (u)[index+di*(0)+dj*(-2)+dk*(0)] - (u)[index+di*(0)+dj*(2)+dk*(0)])) -#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*(u)[index+di*(0)+dj*(0)+dk*(-1)] + 8*(u)[index+di*(0)+dj*(0)+dk*(1)] + (u)[index+di*(0)+dj*(0)+dk*(-2)] - (u)[index+di*(0)+dj*(0)+dk*(2)])) -#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)]) + (u)[index+di*(-2)+dj*(0)+dk*(0)] + (u)[index+di*(2)+dj*(0)+dk*(0)])) -#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)]) + (u)[index+di*(0)+dj*(-2)+dk*(0)] + (u)[index+di*(0)+dj*(2)+dk*(0)])) -#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)]) + (u)[index+di*(0)+dj*(0)+dk*(-2)] + (u)[index+di*(0)+dj*(0)+dk*(2)])) -#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) -#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) -#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) -#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) -#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) -#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) -#define PDupwindNth1(u,i,j,k) (p1o12dx*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(2*dir1)+dj*(0)+dk*(0)] + (u)[index+di*(3*dir1)+dj*(0)+dk*(0)] - 3*(u)[index+di*(-dir1)+dj*(0)+dk*(0)] + 18*(u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) -#define PDupwindNth2(u,i,j,k) (p1o12dy*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(0)+dj*(2*dir2)+dk*(0)] + (u)[index+di*(0)+dj*(3*dir2)+dk*(0)] - 3*(u)[index+di*(0)+dj*(-dir2)+dk*(0)] + 18*(u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) -#define PDupwindNth3(u,i,j,k) (p1o12dz*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(0)+dj*(0)+dk*(2*dir3)] + (u)[index+di*(0)+dj*(0)+dk*(3*dir3)] - 3*(u)[index+di*(0)+dj*(0)+dk*(-dir3)] + 18*(u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) -#define PDonesided1(u,i,j,k) (p1odx*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) -#define PDonesided2(u,i,j,k) (p1ody*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) -#define PDonesided3(u,i,j,k) (p1odz*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) +#define PDstandardNth1(u) (p1o12dx*(-8*(u)[di*(-1)+dj*(0)+dk*(0)] + 8*(u)[di*(1)+dj*(0)+dk*(0)] + (u)[di*(-2)+dj*(0)+dk*(0)] - (u)[di*(2)+dj*(0)+dk*(0)])) +#define PDstandardNth2(u) (p1o12dy*(-8*(u)[di*(0)+dj*(-1)+dk*(0)] + 8*(u)[di*(0)+dj*(1)+dk*(0)] + (u)[di*(0)+dj*(-2)+dk*(0)] - (u)[di*(0)+dj*(2)+dk*(0)])) +#define PDstandardNth3(u) (p1o12dz*(-8*(u)[di*(0)+dj*(0)+dk*(-1)] + 8*(u)[di*(0)+dj*(0)+dk*(1)] + (u)[di*(0)+dj*(0)+dk*(-2)] - (u)[di*(0)+dj*(0)+dk*(2)])) +#define PDstandardNth11(u) (pm1o12dx2*(30*(u)[di*(0)+dj*(0)+dk*(0)] - 16*((u)[di*(-1)+dj*(0)+dk*(0)] + (u)[di*(1)+dj*(0)+dk*(0)]) + (u)[di*(-2)+dj*(0)+dk*(0)] + (u)[di*(2)+dj*(0)+dk*(0)])) +#define PDstandardNth22(u) (pm1o12dy2*(30*(u)[di*(0)+dj*(0)+dk*(0)] - 16*((u)[di*(0)+dj*(-1)+dk*(0)] + (u)[di*(0)+dj*(1)+dk*(0)]) + (u)[di*(0)+dj*(-2)+dk*(0)] + (u)[di*(0)+dj*(2)+dk*(0)])) +#define PDstandardNth33(u) (pm1o12dz2*(30*(u)[di*(0)+dj*(0)+dk*(0)] - 16*((u)[di*(0)+dj*(0)+dk*(-1)] + (u)[di*(0)+dj*(0)+dk*(1)]) + (u)[di*(0)+dj*(0)+dk*(-2)] + (u)[di*(0)+dj*(0)+dk*(2)])) +#define PDstandardNth12(u) (p1o144dxdy*(-64*((u)[di*(-1)+dj*(1)+dk*(0)] + (u)[di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[di*(-1)+dj*(-1)+dk*(0)] + (u)[di*(1)+dj*(1)+dk*(0)]) + 8*((u)[di*(-1)+dj*(2)+dk*(0)] + (u)[di*(1)+dj*(-2)+dk*(0)] + (u)[di*(-2)+dj*(1)+dk*(0)] + (u)[di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[di*(-1)+dj*(-2)+dk*(0)] + (u)[di*(1)+dj*(2)+dk*(0)] + (u)[di*(-2)+dj*(-1)+dk*(0)] + (u)[di*(2)+dj*(1)+dk*(0)]) + (u)[di*(-2)+dj*(-2)+dk*(0)] - (u)[di*(-2)+dj*(2)+dk*(0)] - (u)[di*(2)+dj*(-2)+dk*(0)] + (u)[di*(2)+dj*(2)+dk*(0)])) +#define PDstandardNth13(u) (p1o144dxdz*(-64*((u)[di*(-1)+dj*(0)+dk*(1)] + (u)[di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[di*(-1)+dj*(0)+dk*(-1)] + (u)[di*(1)+dj*(0)+dk*(1)]) + 8*((u)[di*(-1)+dj*(0)+dk*(2)] + (u)[di*(1)+dj*(0)+dk*(-2)] + (u)[di*(-2)+dj*(0)+dk*(1)] + (u)[di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[di*(-1)+dj*(0)+dk*(-2)] + (u)[di*(1)+dj*(0)+dk*(2)] + (u)[di*(-2)+dj*(0)+dk*(-1)] + (u)[di*(2)+dj*(0)+dk*(1)]) + (u)[di*(-2)+dj*(0)+dk*(-2)] - (u)[di*(-2)+dj*(0)+dk*(2)] - (u)[di*(2)+dj*(0)+dk*(-2)] + (u)[di*(2)+dj*(0)+dk*(2)])) +#define PDstandardNth21(u) (p1o144dxdy*(-64*((u)[di*(-1)+dj*(1)+dk*(0)] + (u)[di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[di*(-1)+dj*(-1)+dk*(0)] + (u)[di*(1)+dj*(1)+dk*(0)]) + 8*((u)[di*(-1)+dj*(2)+dk*(0)] + (u)[di*(1)+dj*(-2)+dk*(0)] + (u)[di*(-2)+dj*(1)+dk*(0)] + (u)[di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[di*(-1)+dj*(-2)+dk*(0)] + (u)[di*(1)+dj*(2)+dk*(0)] + (u)[di*(-2)+dj*(-1)+dk*(0)] + (u)[di*(2)+dj*(1)+dk*(0)]) + (u)[di*(-2)+dj*(-2)+dk*(0)] - (u)[di*(-2)+dj*(2)+dk*(0)] - (u)[di*(2)+dj*(-2)+dk*(0)] + (u)[di*(2)+dj*(2)+dk*(0)])) +#define PDstandardNth23(u) (p1o144dydz*(-64*((u)[di*(0)+dj*(-1)+dk*(1)] + (u)[di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[di*(0)+dj*(-1)+dk*(-1)] + (u)[di*(0)+dj*(1)+dk*(1)]) + 8*((u)[di*(0)+dj*(-1)+dk*(2)] + (u)[di*(0)+dj*(1)+dk*(-2)] + (u)[di*(0)+dj*(-2)+dk*(1)] + (u)[di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[di*(0)+dj*(-1)+dk*(-2)] + (u)[di*(0)+dj*(1)+dk*(2)] + (u)[di*(0)+dj*(-2)+dk*(-1)] + (u)[di*(0)+dj*(2)+dk*(1)]) + (u)[di*(0)+dj*(-2)+dk*(-2)] - (u)[di*(0)+dj*(-2)+dk*(2)] - (u)[di*(0)+dj*(2)+dk*(-2)] + (u)[di*(0)+dj*(2)+dk*(2)])) +#define PDstandardNth31(u) (p1o144dxdz*(-64*((u)[di*(-1)+dj*(0)+dk*(1)] + (u)[di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[di*(-1)+dj*(0)+dk*(-1)] + (u)[di*(1)+dj*(0)+dk*(1)]) + 8*((u)[di*(-1)+dj*(0)+dk*(2)] + (u)[di*(1)+dj*(0)+dk*(-2)] + (u)[di*(-2)+dj*(0)+dk*(1)] + (u)[di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[di*(-1)+dj*(0)+dk*(-2)] + (u)[di*(1)+dj*(0)+dk*(2)] + (u)[di*(-2)+dj*(0)+dk*(-1)] + (u)[di*(2)+dj*(0)+dk*(1)]) + (u)[di*(-2)+dj*(0)+dk*(-2)] - (u)[di*(-2)+dj*(0)+dk*(2)] - (u)[di*(2)+dj*(0)+dk*(-2)] + (u)[di*(2)+dj*(0)+dk*(2)])) +#define PDstandardNth32(u) (p1o144dydz*(-64*((u)[di*(0)+dj*(-1)+dk*(1)] + (u)[di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[di*(0)+dj*(-1)+dk*(-1)] + (u)[di*(0)+dj*(1)+dk*(1)]) + 8*((u)[di*(0)+dj*(-1)+dk*(2)] + (u)[di*(0)+dj*(1)+dk*(-2)] + (u)[di*(0)+dj*(-2)+dk*(1)] + (u)[di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[di*(0)+dj*(-1)+dk*(-2)] + (u)[di*(0)+dj*(1)+dk*(2)] + (u)[di*(0)+dj*(-2)+dk*(-1)] + (u)[di*(0)+dj*(2)+dk*(1)]) + (u)[di*(0)+dj*(-2)+dk*(-2)] - (u)[di*(0)+dj*(-2)+dk*(2)] - (u)[di*(0)+dj*(2)+dk*(-2)] + (u)[di*(0)+dj*(2)+dk*(2)])) +#define PDupwindNth1(u) (p1o12dx*(-10*(u)[di*(0)+dj*(0)+dk*(0)] - 6*(u)[di*(2*dir1)+dj*(0)+dk*(0)] + (u)[di*(3*dir1)+dj*(0)+dk*(0)] - 3*(u)[di*(-dir1)+dj*(0)+dk*(0)] + 18*(u)[di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDupwindNth2(u) (p1o12dy*(-10*(u)[di*(0)+dj*(0)+dk*(0)] - 6*(u)[di*(0)+dj*(2*dir2)+dk*(0)] + (u)[di*(0)+dj*(3*dir2)+dk*(0)] - 3*(u)[di*(0)+dj*(-dir2)+dk*(0)] + 18*(u)[di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDupwindNth3(u) (p1o12dz*(-10*(u)[di*(0)+dj*(0)+dk*(0)] - 6*(u)[di*(0)+dj*(0)+dk*(2*dir3)] + (u)[di*(0)+dj*(0)+dk*(3*dir3)] - 3*(u)[di*(0)+dj*(0)+dk*(-dir3)] + 18*(u)[di*(0)+dj*(0)+dk*(dir3)])*dir3) +#define PDonesided1(u) (p1odx*(-(u)[di*(0)+dj*(0)+dk*(0)] + (u)[di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDonesided2(u) (p1ody*(-(u)[di*(0)+dj*(0)+dk*(0)] + (u)[di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDonesided3(u) (p1odz*(-(u)[di*(0)+dj*(0)+dk*(0)] + (u)[di*(0)+dj*(0)+dk*(dir3)])*dir3) |