diff options
Diffstat (limited to 'src/volume_integral.c')
-rw-r--r-- | src/volume_integral.c | 112 |
1 files changed, 78 insertions, 34 deletions
diff --git a/src/volume_integral.c b/src/volume_integral.c index b80b215..ee4009d 100644 --- a/src/volume_integral.c +++ b/src/volume_integral.c @@ -1,3 +1,12 @@ + /*@@ + @file volume_integral.c + @date Wed Oct 5 10:18:34 2005 + @author Frank Loeffler and Luca Baiotti + @desc + Computes the ADM mass as a volume integral. + @enddesc + @@*/ + #include <math.h> #include <stdio.h> #include <stdlib.h> @@ -19,19 +28,23 @@ void ADMMass_Volume(CCTK_ARGUMENTS) CCTK_INT i,j,k, ijk, ghost; CCTK_REAL detg, idetg; CCTK_REAL u[3][3], dg[3][3][3]; - /* CCTK_REAL local_sum = 0.0;*/ - CCTK_REAL radius; + CCTK_REAL radius, twoDX, twoDY, twoDZ; CCTK_INT mask_descriptor, state_descriptor_outside; mask_descriptor = SpaceMask_GetTypeBits("OutsideMask"); state_descriptor_outside = SpaceMask_GetStateBits("OutsideMask", "outside"); - /* grid-function strides for ADMMacros */ + /* grid-function strides */ const CCTK_INT di = 1; const CCTK_INT dj = cctk_lsh[0]; const CCTK_INT dk = cctk_lsh[0]*cctk_lsh[1]; + /* deonminators for derivatives */ + twoDX = 2.0 * CCTK_DELTA_SPACE(0); + twoDY = 2.0 * CCTK_DELTA_SPACE(1); + twoDZ = 2.0 * CCTK_DELTA_SPACE(2); + if (ADMMass_use_surface_distance_as_volume_radius && (ADMMass_volume_radius[*ADMMass_LoopCounter] < 0.0)) radius = ADMMass_surface_distance[*ADMMass_LoopCounter]; @@ -59,22 +72,18 @@ void ADMMass_Volume(CCTK_ARGUMENTS) } #include "CactusEinstein/ADMMacros/src/macro/UPPERMET_declare.h" -#include "CactusEinstein/ADMMacros/src/macro/DG_declare.h" -#include "CactusEinstein/ADMMacros/src/macro/ADM_Spacing_declare.h" - /* Compute everywhere. These ADMMacros in C only have second order differencing. */ - for(i=2; i<cctk_lsh[0]-2; i++) - for(j=2; j<cctk_lsh[1]-2; j++) - for(k=2; k<cctk_lsh[2]-2; k++) + for(i=1; i<cctk_lsh[0]-1; i++) + for(j=1; j<cctk_lsh[1]-1; j++) + for(k=1; k<cctk_lsh[2]-1; k++) { ijk = CCTK_GFINDEX3D(cctkGH, i, j, k); ADMMass_VolumeMass_GF[ijk] = 0.0; ADMMass_VolumeMass_pot_x[ijk] = 0.0; ADMMass_VolumeMass_pot_y[ijk] = 0.0; ADMMass_VolumeMass_pot_z[ijk] = 0.0; -#include "CactusEinstein/ADMMacros/src/macro/ADM_Spacing.h" + #include "CactusEinstein/ADMMacros/src/macro/UPPERMET_guts.h" -#include "CactusEinstein/ADMMacros/src/macro/DG_guts.h" u[0][0] = UPPERMET_UXX; u[0][1] = UPPERMET_UXY; u[0][2] = UPPERMET_UXZ; @@ -84,7 +93,44 @@ void ADMMass_Volume(CCTK_ARGUMENTS) u[2][0] = UPPERMET_UXZ; u[2][1] = UPPERMET_UYZ; u[2][2] = UPPERMET_UZZ; - dg[0][0][0] = DXDG_DXDGXX; + + dg[0][0][0] = ( gxx[di+ijk] - gxx[-di+ijk] ) / twoDX; + dg[0][0][1] = ( gxx[dj+ijk] - gxx[-dj+ijk] ) / twoDY; + dg[0][0][2] = ( gxx[dk+ijk] - gxx[-dk+ijk] ) / twoDZ; + + dg[0][1][0] = ( gxy[di+ijk] - gxy[-di+ijk] ) / twoDX; + dg[0][1][1] = ( gxy[dj+ijk] - gxy[-dj+ijk] ) / twoDY; + dg[0][1][2] = ( gxy[dk+ijk] - gxy[-dk+ijk] ) / twoDZ; + + dg[0][2][0] = ( gxz[di+ijk] - gxz[-di+ijk] ) / twoDX; + dg[0][2][1] = ( gxz[dj+ijk] - gxz[-dj+ijk] ) / twoDY; + dg[0][2][2] = ( gxz[dk+ijk] - gxz[-dk+ijk] ) / twoDZ; + + dg[1][0][0] = dg[0][1][0]; + dg[1][0][1] = dg[0][1][1]; + dg[1][0][2] = dg[0][1][2]; + + dg[1][1][0] = ( gyy[di+ijk] - gyy[-di+ijk] ) / twoDX; + dg[1][1][1] = ( gyy[dj+ijk] - gyy[-dj+ijk] ) / twoDY; + dg[1][1][2] = ( gyy[dk+ijk] - gyy[-dk+ijk] ) / twoDZ; + + dg[1][2][0] = ( gyz[di+ijk] - gyz[-di+ijk] ) / twoDX; + dg[1][2][1] = ( gyz[dj+ijk] - gyz[-dj+ijk] ) / twoDY; + dg[1][2][2] = ( gyz[dk+ijk] - gyz[-dk+ijk] ) / twoDZ; + + dg[2][0][0] = dg[0][2][0]; + dg[2][0][1] = dg[0][2][1]; + dg[2][0][2] = dg[0][2][2]; + + dg[2][1][0] = dg[1][2][0]; + dg[2][1][1] = dg[1][2][1]; + dg[2][1][2] = dg[1][2][2]; + + dg[2][2][0] = ( gzz[di+ijk] - gzz[-di+ijk] ) / twoDX; + dg[2][2][1] = ( gzz[dj+ijk] - gzz[-dj+ijk] ) / twoDY; + dg[2][2][2] = ( gzz[dk+ijk] - gzz[-dk+ijk] ) / twoDZ; + + /* dg[0][0][0] = DXDG_DXDGXX; dg[0][0][1] = DYDG_DYDGXX; dg[0][0][2] = DZDG_DZDGXX; dg[0][1][0] = DXDG_DXDGXY; @@ -110,20 +156,21 @@ void ADMMass_Volume(CCTK_ARGUMENTS) dg[2][1][2] = DZDG_DZDGYZ; dg[2][2][0] = DXDG_DXDGZZ; dg[2][2][1] = DYDG_DYDGZZ; - dg[2][2][2] = DZDG_DZDGZZ; + dg[2][2][2] = DZDG_DZDGZZ;*/ + for (int ti = 0; ti < 3; ti++) for (int tj = 0; tj < 3; tj++) for (int tk = 0; tk < 3; tk++) { ADMMass_VolumeMass_pot_x[ijk] += u[ti][tj] * u[tk][0] * - ( dg[ti][tk][tj] - dg[ti][tj][tk] ); + ( dg[ti][tk][tj] - dg[ti][tj][tk] ); ADMMass_VolumeMass_pot_y[ijk] += u[ti][tj] * u[tk][1] * - ( dg[ti][tk][tj] - dg[ti][tj][tk] ); + ( dg[ti][tk][tj] - dg[ti][tj][tk] ); ADMMass_VolumeMass_pot_z[ijk] += u[ti][tj] * u[tk][2] * - ( dg[ti][tk][tj] - dg[ti][tj][tk] ); + ( dg[ti][tk][tj] - dg[ti][tj][tk] ); } ADMMass_VolumeMass_pot_x[ijk] *= alp[ijk] * sqrt(DETG_DETG); ADMMass_VolumeMass_pot_y[ijk] *= alp[ijk] * sqrt(DETG_DETG); @@ -136,8 +183,8 @@ void ADMMass_Volume(CCTK_ARGUMENTS) for(k=ghost; k<cctk_lsh[2]-ghost; k++) { ijk = CCTK_GFINDEX3D(cctkGH, i, j, k); - ADMMass_VolumeMass_GF[ijk] = 0.0; - if ((ADMMass_use_all_volume_as_volume_radius)||((!ADMMass_Excise_Horizons || + + if ((ADMMass_use_all_volume_as_volume_radius)||((!ADMMass_Excise_Horizons || SpaceMask_CheckStateBits(space_mask, ijk, mask_descriptor, state_descriptor_outside)) && @@ -149,21 +196,17 @@ void ADMMass_Volume(CCTK_ARGUMENTS) (z[ijk]-ADMMass_z_pos[*ADMMass_LoopCounter]) <= radius * radius))) { - ADMMass_VolumeMass_GF[ijk] += - (i2dx*(ADMMass_VolumeMass_pot_x[CCTK_GFINDEX3D(cctkGH,i+1,j,k)]- - ADMMass_VolumeMass_pot_x[CCTK_GFINDEX3D(cctkGH,i-1,j,k)])+ - i2dy*(ADMMass_VolumeMass_pot_y[CCTK_GFINDEX3D(cctkGH,i,j+1,k)]- - ADMMass_VolumeMass_pot_y[CCTK_GFINDEX3D(cctkGH,i,j-1,k)])+ - i2dz*(ADMMass_VolumeMass_pot_z[CCTK_GFINDEX3D(cctkGH,i,j,k+1)]- - ADMMass_VolumeMass_pot_z[CCTK_GFINDEX3D(cctkGH,i,j,k-1)])) - *dx*dy*dz; - /* local_sum += ADMMass_VolumeMass_GF[ijk]; */ - } + ADMMass_VolumeMass_GF[ijk] = + ((ADMMass_VolumeMass_pot_x[CCTK_GFINDEX3D(cctkGH,i+1,j,k)]- + ADMMass_VolumeMass_pot_x[CCTK_GFINDEX3D(cctkGH,i-1,j,k)])/twoDX+ + (ADMMass_VolumeMass_pot_y[CCTK_GFINDEX3D(cctkGH,i,j+1,k)]- + ADMMass_VolumeMass_pot_y[CCTK_GFINDEX3D(cctkGH,i,j-1,k)])/twoDY+ + (ADMMass_VolumeMass_pot_z[CCTK_GFINDEX3D(cctkGH,i,j,k+1)]- + ADMMass_VolumeMass_pot_z[CCTK_GFINDEX3D(cctkGH,i,j,k-1)])/twoDZ); + + } } - #include "CactusEinstein/ADMMacros/src/macro/UPPERMET_undefine.h" - #include "CactusEinstein/ADMMacros/src/macro/DG_undefine.h" - #include "CactusEinstein/ADMMacros/src/macro/ADM_Spacing_undefine.h" - /*printf("ADM mass local to one processor (volume): %g\n", local_sum);*/ +#include "CactusEinstein/ADMMacros/src/macro/UPPERMET_undefine.h" } void ADMMass_Volume_Global(CCTK_ARGUMENTS) @@ -176,7 +219,7 @@ void ADMMass_Volume_Global(CCTK_ARGUMENTS) reduction_handle = CCTK_ReductionHandle("sum"); if (reduction_handle < 0) - CCTK_WARN(0, "Unable to ge reduction handle."); + CCTK_WARN(0, "Unable to get reduction handle."); if (CCTK_Reduce(cctkGH, -1, reduction_handle, 1, CCTK_VARIABLE_REAL, @@ -184,7 +227,8 @@ void ADMMass_Volume_Global(CCTK_ARGUMENTS) CCTK_VarIndex("ADMMass::ADMMass_VolumeMass_GF"))) CCTK_WARN(0, "Error while reducing ADMMass_VolumeMass_GF"); - ADMMass_VolumeMass[*ADMMass_LoopCounter] /= 16.0*PI; + ADMMass_VolumeMass[*ADMMass_LoopCounter] *= + cctk_delta_space[0]*cctk_delta_space[1]*cctk_delta_space[2] / (16.0*PI); if (ADMMass_use_surface_distance_as_volume_radius) { |