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/*@@
@header LIEG_guts.h
@date July 2000
@author Gabrielle Allen, Miguel Alcubierre
@desc
Macro to calculate the Lie derivative of the lower
conformal metric. Notice that the advection term
can be calculated in several different ways.
IMPORTANT: THE C VERSION ONLY HAS CENTERED DIFFERENCES!
@enddesc
@@*/
#ifndef LIEG_GUTS
#define LIEG_GUTS
#include "DB_guts.h"
#include "DG_guts.h"
#ifdef FCODE
#include "ADM_Derivative.h"
/* Advection. */
LIEG_LGXX = 0.0D0
LIEG_LGYY = 0.0D0
LIEG_LGZZ = 0.0D0
LIEG_LGXY = 0.0D0
LIEG_LGXZ = 0.0D0
LIEG_LGYZ = 0.0D0
/* Do the x-direction */
if (admmacros_advectionx .eq. 0) then /* CENTER */
LIEG_LGXX = LIEG_LGXX + DXDCG_DXDCGXX*LIEG_BX
LIEG_LGYY = LIEG_LGYY + DXDCG_DXDCGYY*LIEG_BX
LIEG_LGZZ = LIEG_LGZZ + DXDCG_DXDCGZZ*LIEG_BX
LIEG_LGXY = LIEG_LGXY + DXDCG_DXDCGXY*LIEG_BX
LIEG_LGXZ = LIEG_LGXZ + DXDCG_DXDCGXZ*LIEG_BX
LIEG_LGYZ = LIEG_LGYZ + DXDCG_DXDCGYZ*LIEG_BX
else if (admmacros_advectionx .eq. 1) then /* UPWIND1 */
LIEG_LGXX = LIEG_LGXX + ADM_ADV_DX_P1(gxx,i,j,k)
LIEG_LGYY = LIEG_LGYY + ADM_ADV_DX_P1(gyy,i,j,k)
LIEG_LGZZ = LIEG_LGZZ + ADM_ADV_DX_P1(gzz,i,j,k)
LIEG_LGXY = LIEG_LGXY + ADM_ADV_DX_P1(gxy,i,j,k)
LIEG_LGXZ = LIEG_LGXZ + ADM_ADV_DX_P1(gxz,i,j,k)
LIEG_LGYZ = LIEG_LGYZ + ADM_ADV_DX_P1(gyz,i,j,k)
else if (admmacros_advectionx .eq. -1) then /* UPWIND1 */
LIEG_LGXX = LIEG_LGXX + ADM_ADV_DX_M1(gxx,i,j,k)
LIEG_LGYY = LIEG_LGYY + ADM_ADV_DX_M1(gyy,i,j,k)
LIEG_LGZZ = LIEG_LGZZ + ADM_ADV_DX_M1(gzz,i,j,k)
LIEG_LGXY = LIEG_LGXY + ADM_ADV_DX_M1(gxy,i,j,k)
LIEG_LGXZ = LIEG_LGXZ + ADM_ADV_DX_M1(gxz,i,j,k)
LIEG_LGYZ = LIEG_LGYZ + ADM_ADV_DX_M1(gyz,i,j,k)
else if (admmacros_advectionx .eq. 2) then /* UPWIND2 */
LIEG_LGXX = LIEG_LGXX + ADM_ADV_DX_P2(gxx,i,j,k)
LIEG_LGYY = LIEG_LGYY + ADM_ADV_DX_P2(gyy,i,j,k)
LIEG_LGZZ = LIEG_LGZZ + ADM_ADV_DX_P2(gzz,i,j,k)
LIEG_LGXY = LIEG_LGXY + ADM_ADV_DX_P2(gxy,i,j,k)
LIEG_LGXZ = LIEG_LGXZ + ADM_ADV_DX_P2(gxz,i,j,k)
LIEG_LGYZ = LIEG_LGYZ + ADM_ADV_DX_P2(gyz,i,j,k)
else if (admmacros_advectionx .eq. -2) then /* UPWIND2 */
LIEG_LGXX = LIEG_LGXX + ADM_ADV_DX_M2(gxx,i,j,k)
LIEG_LGYY = LIEG_LGYY + ADM_ADV_DX_M2(gyy,i,j,k)
LIEG_LGZZ = LIEG_LGZZ + ADM_ADV_DX_M2(gzz,i,j,k)
LIEG_LGXY = LIEG_LGXY + ADM_ADV_DX_M2(gxy,i,j,k)
LIEG_LGXZ = LIEG_LGXZ + ADM_ADV_DX_M2(gxz,i,j,k)
LIEG_LGYZ = LIEG_LGYZ + ADM_ADV_DX_M2(gyz,i,j,k)
end if
/* Do the y-direction */
if (admmacros_advectiony .eq. 0) then /* CENTER */
LIEG_LGXX = LIEG_LGXX + DYDCG_DYDCGXX*LIEG_BY
LIEG_LGYY = LIEG_LGYY + DYDCG_DYDCGYY*LIEG_BY
LIEG_LGZZ = LIEG_LGZZ + DYDCG_DYDCGZZ*LIEG_BY
LIEG_LGXY = LIEG_LGXY + DYDCG_DYDCGXY*LIEG_BY
LIEG_LGXZ = LIEG_LGXZ + DYDCG_DYDCGXZ*LIEG_BY
LIEG_LGYZ = LIEG_LGYZ + DYDCG_DYDCGYZ*LIEG_BY
else if (admmacros_advectiony .eq. 1) then /* UPWIND1 */
LIEG_LGXX = LIEG_LGXX + ADM_ADV_DY_P1(gxx,i,j,k)
LIEG_LGYY = LIEG_LGYY + ADM_ADV_DY_P1(gyy,i,j,k)
LIEG_LGZZ = LIEG_LGZZ + ADM_ADV_DY_P1(gzz,i,j,k)
LIEG_LGXY = LIEG_LGXY + ADM_ADV_DY_P1(gxy,i,j,k)
LIEG_LGXZ = LIEG_LGXZ + ADM_ADV_DY_P1(gxz,i,j,k)
LIEG_LGYZ = LIEG_LGYZ + ADM_ADV_DY_P1(gyz,i,j,k)
else if (admmacros_advectiony .eq. -1) then /* UPWIND1 */
LIEG_LGXX = LIEG_LGXX + ADM_ADV_DY_M1(gxx,i,j,k)
LIEG_LGYY = LIEG_LGYY + ADM_ADV_DY_M1(gyy,i,j,k)
LIEG_LGZZ = LIEG_LGZZ + ADM_ADV_DY_M1(gzz,i,j,k)
LIEG_LGXY = LIEG_LGXY + ADM_ADV_DY_M1(gxy,i,j,k)
LIEG_LGXZ = LIEG_LGXZ + ADM_ADV_DY_M1(gxz,i,j,k)
LIEG_LGYZ = LIEG_LGYZ + ADM_ADV_DY_M1(gyz,i,j,k)
else if (admmacros_advectiony .eq. 2) then /* UPWIND2 */
LIEG_LGXX = LIEG_LGXX + ADM_ADV_DY_P2(gxx,i,j,k)
LIEG_LGYY = LIEG_LGYY + ADM_ADV_DY_P2(gyy,i,j,k)
LIEG_LGZZ = LIEG_LGZZ + ADM_ADV_DY_P2(gzz,i,j,k)
LIEG_LGXY = LIEG_LGXY + ADM_ADV_DY_P2(gxy,i,j,k)
LIEG_LGXZ = LIEG_LGXZ + ADM_ADV_DY_P2(gxz,i,j,k)
LIEG_LGYZ = LIEG_LGYZ + ADM_ADV_DY_P2(gyz,i,j,k)
else if (admmacros_advectiony .eq. -2) then /* UPWIND2 */
LIEG_LGXX = LIEG_LGXX + ADM_ADV_DY_M2(gxx,i,j,k)
LIEG_LGYY = LIEG_LGYY + ADM_ADV_DY_M2(gyy,i,j,k)
LIEG_LGZZ = LIEG_LGZZ + ADM_ADV_DY_M2(gzz,i,j,k)
LIEG_LGXY = LIEG_LGXY + ADM_ADV_DY_M2(gxy,i,j,k)
LIEG_LGXZ = LIEG_LGXZ + ADM_ADV_DY_M2(gxz,i,j,k)
LIEG_LGYZ = LIEG_LGYZ + ADM_ADV_DY_M2(gyz,i,j,k)
end if
/* Do the z-direction */
if (admmacros_advectionz .eq. 0) then /* CENTER */
LIEG_LGXX = LIEG_LGXX + DZDCG_DZDCGXX*LIEG_BZ
LIEG_LGYY = LIEG_LGYY + DZDCG_DZDCGYY*LIEG_BZ
LIEG_LGZZ = LIEG_LGZZ + DZDCG_DZDCGZZ*LIEG_BZ
LIEG_LGXY = LIEG_LGXY + DZDCG_DZDCGXY*LIEG_BZ
LIEG_LGXZ = LIEG_LGXZ + DZDCG_DZDCGXZ*LIEG_BZ
LIEG_LGYZ = LIEG_LGYZ + DZDCG_DZDCGYZ*LIEG_BZ
else if ((admmacros_advectionz .eq. 1)) then /* UPWIND1 */
LIEG_LGXX = LIEG_LGXX + ADM_ADV_DZ_P1(gxx,i,j,k)
LIEG_LGYY = LIEG_LGYY + ADM_ADV_DZ_P1(gyy,i,j,k)
LIEG_LGZZ = LIEG_LGZZ + ADM_ADV_DZ_P1(gzz,i,j,k)
LIEG_LGXY = LIEG_LGXY + ADM_ADV_DZ_P1(gxy,i,j,k)
LIEG_LGXZ = LIEG_LGXZ + ADM_ADV_DZ_P1(gxz,i,j,k)
LIEG_LGYZ = LIEG_LGYZ + ADM_ADV_DZ_P1(gyz,i,j,k)
else if ((admmacros_advectionz .eq. -1)) then /* UPWIND1 */
LIEG_LGXX = LIEG_LGXX + ADM_ADV_DZ_M1(gxx,i,j,k)
LIEG_LGYY = LIEG_LGYY + ADM_ADV_DZ_M1(gyy,i,j,k)
LIEG_LGZZ = LIEG_LGZZ + ADM_ADV_DZ_M1(gzz,i,j,k)
LIEG_LGXY = LIEG_LGXY + ADM_ADV_DZ_M1(gxy,i,j,k)
LIEG_LGXZ = LIEG_LGXZ + ADM_ADV_DZ_M1(gxz,i,j,k)
LIEG_LGYZ = LIEG_LGYZ + ADM_ADV_DZ_M1(gyz,i,j,k)
else if (admmacros_advectionz .eq. 2) then /* UPWIND2 */
LIEG_LGXX = LIEG_LGXX + ADM_ADV_DZ_P2(gxx,i,j,k)
LIEG_LGYY = LIEG_LGYY + ADM_ADV_DZ_P2(gyy,i,j,k)
LIEG_LGZZ = LIEG_LGZZ + ADM_ADV_DZ_P2(gzz,i,j,k)
LIEG_LGXY = LIEG_LGXY + ADM_ADV_DZ_P2(gxy,i,j,k)
LIEG_LGXZ = LIEG_LGXZ + ADM_ADV_DZ_P2(gxz,i,j,k)
LIEG_LGYZ = LIEG_LGYZ + ADM_ADV_DZ_P2(gyz,i,j,k)
else if (admmacros_advectionz .eq. -2) then /* UPWIND2 */
LIEG_LGXX = LIEG_LGXX + ADM_ADV_DZ_M2(gxx,i,j,k)
LIEG_LGYY = LIEG_LGYY + ADM_ADV_DZ_M2(gyy,i,j,k)
LIEG_LGZZ = LIEG_LGZZ + ADM_ADV_DZ_M2(gzz,i,j,k)
LIEG_LGXY = LIEG_LGXY + ADM_ADV_DZ_M2(gxy,i,j,k)
LIEG_LGXZ = LIEG_LGXZ + ADM_ADV_DZ_M2(gxz,i,j,k)
LIEG_LGYZ = LIEG_LGYZ + ADM_ADV_DZ_M2(gyz,i,j,k)
end if
/* Extra terms in the Lie derivative. */
LIEG_LGXX = LIEG_LGXX + 2.0D0*(DXDB_DXDBX*LIEG_GXX \
+ DXDB_DXDBY*LIEG_GXY + DXDB_DXDBZ*LIEG_GXZ)
LIEG_LGYY = LIEG_LGYY + 2.0D0*(DYDB_DYDBX*LIEG_GXY \
+ DYDB_DYDBY*LIEG_GYY + DYDB_DYDBZ*LIEG_GYZ)
LIEG_LGZZ = LIEG_LGZZ + 2.0D0*(DZDB_DZDBX*LIEG_GXZ \
+ DZDB_DZDBY*LIEG_GYZ + DZDB_DZDBZ*LIEG_GZZ)
LIEG_LGXY = LIEG_LGXY + DYDB_DYDBX*LIEG_GXX + DXDB_DXDBY*LIEG_GYY \
+ (DXDB_DXDBX + DYDB_DYDBY)*LIEG_GXY \
+ DYDB_DYDBZ*LIEG_GXZ + DXDB_DXDBZ*LIEG_GYZ
LIEG_LGXZ = LIEG_LGXZ + DZDB_DZDBX*LIEG_GXX + DXDB_DXDBZ*LIEG_GZZ \
+ (DXDB_DXDBX + DZDB_DZDBZ)*LIEG_GXZ \
+ DZDB_DZDBY*LIEG_GXY + DXDB_DXDBY*LIEG_GYZ
LIEG_LGYZ = LIEG_LGYZ + DZDB_DZDBY*LIEG_GYY + DYDB_DYDBZ*LIEG_GZZ \
+ (DYDB_DYDBY + DZDB_DZDBZ)*LIEG_GYZ \
+ DZDB_DZDBX*LIEG_GXY + DYDB_DYDBX*LIEG_GXZ
#endif
#ifdef CCODE
/* Advection */
LIEG_LGXX = DXDCG_DXDCGXX*LIEG_BX + DYDCG_DYDCGXX*LIEG_BY
+ DZDCG_DZDCGXX*LIEG_BZ;
LIEG_LGYY = DXDCG_DXDCGYY*LIEG_BX + DYDCG_DYDCGYY*LIEG_BY
+ DZDCG_DZDCGYY*LIEG_BZ;
LIEG_LGZZ = DXDCG_DXDCGZZ*LIEG_BX + DYDCG_DYDCGZZ*LIEG_BY
+ DZDCG_DZDCGZZ*LIEG_BZ;
LIEG_LGXY = DXDCG_DXDCGXY*LIEG_BX + DYDCG_DYDCGXY*LIEG_BY
+ DZDCG_DZDCGXY*LIEG_BZ;
LIEG_LGXZ = DXDCG_DXDCGXZ*LIEG_BX + DYDCG_DYDCGXZ*LIEG_BY
+ DZDCG_DZDCGXZ*LIEG_BZ;
LIEG_LGYZ = DXDCG_DXDCGYZ*LIEG_BX + DYDCG_DYDCGYZ*LIEG_BY
+ DZDCG_DZDCGYZ*LIEG_BZ;
/* Extra terms in the Lie derivative */
LIEG_LGXX = LIEG_LGXX + 2*(DXDB_DXDBX*LIEG_GXX
+ DXDB_DXDBY*LIEG_GXY + DXDB_DXDBZ*LIEG_GXZ);
LIEG_LGYY = LIEG_LGYY + 2*(DYDB_DYDBX*LIEG_GXY
+ DYDB_DYDBY*LIEG_GYY + DYDB_DYDBZ*LIEG_GYZ);
LIEG_LGZZ = LIEG_LGZZ + 2*(DZDB_DZDBX*LIEG_GXZ
+ DZDB_DZDBY*LIEG_GYZ + DZDB_DZDBZ*LIEG_GZZ);
LIEG_LGXY = LIEG_LGXY + DYDB_DYDBX*LIEG_GXX + DXDB_DXDBY*LIEG_GYY
+ (DXDB_DXDBX + DYDB_DYDBY)*LIEG_GXY
+ DYDB_DYDBZ*LIEG_GXZ + DXDB_DXDBZ*LIEG_GYZ;
LIEG_LGXZ = LIEG_LGXZ + DZDB_DZDBX*LIEG_GXX + DXDB_DXDBZ*LIEG_GZZ
+ (DXDB_DXDBX + DZDB_DZDBZ)*LIEG_GXZ
+ DZDB_DZDBY*LIEG_GXY + DXDB_DXDBY*LIEG_GYZ;
LIEG_LGYZ = LIEG_LGYZ + DZDB_DZDBY*LIEG_GYY + DYDB_DYDBZ*LIEG_GZZ
+ (DYDB_DYDBY + DZDB_DZDBZ)*LIEG_GYZ
+ DZDB_DZDBX*LIEG_GXY + DYDB_DYDBX*LIEG_GXZ;
#endif
#endif
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