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/*@@
@file WaveToy.c
@date
@author Tom Goodale
@desc
Evolution routines for the wave equation solver
@enddesc
@version $Header$
@@*/
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Parameters.h"
#include "Boundary.h"
#include "Symmetry.h"
static const char *rcsid = "$Header$";
CCTK_FILEVERSION(CactusWave_WaveToyC_WaveToy_c)
void WaveToyC_Boundaries(CCTK_ARGUMENTS);
void WaveToyC_Evolution(CCTK_ARGUMENTS);
/*@@
@routine WaveToyC_Evolution
@date
@author Tom Goodale
@desc
Evolution for the wave equation
@enddesc
@calls CCTK_SyncGroup, WaveToyC_Boundaries
@calledby
@history
@endhistory
@@*/
void WaveToyC_Evolution(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS
int i,j,k;
int index;
int istart, jstart, kstart, iend, jend, kend;
CCTK_REAL dx,dy,dz,dt,dx2,dy2,dz2,dt2;
CCTK_REAL dx2i,dy2i,dz2i;
CCTK_REAL factor;
/* Set up shorthands */
dx = CCTK_DELTA_SPACE(0);
dy = CCTK_DELTA_SPACE(1);
dz = CCTK_DELTA_SPACE(2);
dt = CCTK_DELTA_TIME;
dx2 = dx*dx;
dy2 = dy*dy;
dz2 = dz*dz;
dt2 = dt*dt;
dx2i = 1.0/dx2;
dy2i = 1.0/dy2;
dz2i = 1.0/dz2;
istart = 1;
jstart = 1;
kstart = 1;
iend = cctk_lsh[0]-1;
jend = cctk_lsh[1]-1;
kend = cctk_lsh[2]-1;
/* Do the evolution */
factor = 2*(1 - (dt2)*(dx2i + dy2i + dz2i));
for (k=kstart; k<kend; k++)
{
for (j=jstart; j<jend; j++)
{
for (i=istart; i<iend; i++)
{
index = CCTK_GFINDEX3D(cctkGH,i,j,k);
phi[index] = factor*
phi_p[index] - phi_p_p[index]
+ (dt2) *
( ( phi_p[CCTK_GFINDEX3D(cctkGH,i+1,j ,k )]
+phi_p[CCTK_GFINDEX3D(cctkGH,i-1,j ,k )] )*dx2i
+( phi_p[CCTK_GFINDEX3D(cctkGH,i ,j+1,k )]
+phi_p[CCTK_GFINDEX3D(cctkGH,i ,j-1,k )] )*dy2i
+( phi_p[CCTK_GFINDEX3D(cctkGH,i ,j ,k+1)]
+phi_p[CCTK_GFINDEX3D(cctkGH,i ,j, k-1)] )*dz2i);
}
}
}
return;
}
/*@@
@routine WaveToyC_Boundaries
@date
@author Tom Goodale
@desc
Boundary conditions for the wave equation
@enddesc
@history
@endhistory
@@*/
void WaveToyC_Boundaries(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
CCTK_REAL finf;
int ierr=-1;
int sw[3];
int npow;
finf = 1.0;
npow = 1;
/* Set the stencil width */
sw[0]=1;
sw[1]=1;
sw[2]=1;
ierr = CartSymGN(cctkGH,"wavetoy::scalarevolve");
if (CCTK_EQUALS(bound,"flat"))
{
ierr = BndFlatVN(cctkGH,sw,"wavetoy::phi");
}
else if (CCTK_Equals(bound,"static"))
{
ierr = BndStaticVN(cctkGH,sw,"wavetoy::phi");
}
else if (CCTK_Equals(bound,"radiation"))
{
ierr = BndRadiativeVN(cctkGH,sw,0.0,1.0,"wavetoy::phi",
"wavetoy::phi");
}
else if (CCTK_Equals(bound,"robin"))
{
ierr = BndRobinVN(cctkGH,sw,finf,npow,"wavetoy::phi");
}
else if (CCTK_Equals(bound,"zero"))
{
ierr = BndScalarVN(cctkGH,sw, 0.0,"wavetoy::phi");
}
else if (! CCTK_Equals(bound,"none"))
{
CCTK_WARN(0,"Boundary condition not recognized");
}
if (ierr < 0)
{
CCTK_WARN(0,"Boundary conditions not applied - giving up!");
}
return;
}
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