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/*@@
@file WaveToy.c
@date
@author Tom Goodale
@desc
Evolution routines for the wave equation solver
@enddesc
@@*/
#include "cctk.h"
#include "cctk_parameters.h"
#include "cctk_arguments.h"
#include "cctk_Flesh.h"
#include "cctk_Misc.h"
#include "cctk_Comm.h"
#include "CactusBase/Boundary/src/Boundary.h"
/*@@
@routine WaveToyC_Boundaries
@date
@author Tom Goodale
@desc
Boundary conditions for the wave equation
@enddesc
@calls ApplyFlatBC,ApplyRadiativeBC
@calledby
@history
@endhistory
@@*/
void WaveToyC_Boundaries(CCTK_CARGUMENTS)
{
DECLARE_CCTK_CARGUMENTS
DECLARE_CCTK_PARAMETERS
int sw[3];
/* Set the stencil width */
sw[0]=1;
sw[1]=1;
sw[2]=1;
ApplySymmetry(cctkGH,"wavetoy::scalarevolve");
if (CCTK_EQUALS(bound,"flat"))
{
ApplyFlatBC(cctkGH,sw,"wavetoy::phi");
}
else if (CCTK_Equals(bound,"radiation"))
{
ApplyRadiativeBC(cctkGH,1,sw,"wavetoy::phi","wavetoy::phi_old");
}
}
/*@@
@routine WaveToyC_Evolution
@date
@author Tom Goodale
@desc
Evolution for the wave equation
@enddesc
@calls CCTK_SyncGroup, wavetoy_boundaries
@calledby
@history
@endhistory
@@*/
void WaveToyC_Evolution(CCTK_CARGUMENTS)
{
DECLARE_CCTK_CARGUMENTS
DECLARE_CCTK_PARAMETERS
int i,j,k;
int istart, jstart, kstart, iend, jend, kend;
CCTK_REAL dx,dy,dz,dt,dx2,dy2,dz2,dt2;
/* 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;
istart = 1;
jstart = 1;
kstart = 1;
iend = cctk_lsh[0]-1;
jend = cctk_lsh[1]-1;
kend = cctk_lsh[2]-1;
/* Do the evolution */
for (k=kstart; k<kend; k++)
{
for (j=jstart; j<jend; j++)
{
for (i=istart; i<iend; i++)
{
tmp[CCTK_GFINDEX3D(cctkGH,i,j,k)] =
2*(1 - (dt2)*(1/dx2 + 1/dy2 + 1/dz2))*
phi[CCTK_GFINDEX3D(cctkGH,i,j,k)] -
phi_old[CCTK_GFINDEX3D(cctkGH,i,j,k)]
+ (dt2) *
( ( phi[CCTK_GFINDEX3D(cctkGH,i+1,j,k)]
+phi[CCTK_GFINDEX3D(cctkGH,i-1,j,k)] )/dx2
+( phi[CCTK_GFINDEX3D(cctkGH,i,j+1,k)]
+phi[CCTK_GFINDEX3D(cctkGH,i,j-1,k)] )/dy2
+( phi[CCTK_GFINDEX3D(cctkGH,i,j,k+1)]
+phi[CCTK_GFINDEX3D(cctkGH,i,j,k-1)] )/dz2);
}
}
}
/* Update timeslices */
for (k=kstart; k<kend; k++)
{
for (j=jstart; j<jend; j++)
{
for (i=istart; i<iend; i++)
{
phi_old[CCTK_GFINDEX3D(cctkGH,i,j,k)]
= phi[CCTK_GFINDEX3D(cctkGH,i,j,k)];
phi[CCTK_GFINDEX3D(cctkGH,i,j,k)]
= tmp[CCTK_GFINDEX3D(cctkGH,i,j,k)];
}
}
}
/* Apply boundary conditions */
WaveToyC_Boundaries(CCTK_PASS_CTOC);
/* Synchronize */
CCTK_SyncGroup(cctkGH,"wavetoy::scalarevolve");
}
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