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/*@@
@file InitialData.cc
@date
@author Werner Benger
@desc
Initial data for the 3D Wave Equation
Derived from Tom Goodale
@enddesc
@version $Id$
@@*/
#include <math.h>
#include "cctk.h"
#include "cctk_Parameters.h"
#include "cctk_Arguments.h"
static char *rcsid = "$Header$";
CCTK_FILEVERSION(CactusWave_IDScalarWaveCXX_InitialData_cc)
inline CCTK_REAL sqr(CCTK_REAL val)
{
return val*val;
}
/*@@
@routine IDScalarWave_InitialData
@date
@author Tom Goodale
@desc
Set up initial data for the wave equation
@enddesc
@history
@hdate Mon Oct 11 11:48:03 1999 @hauthor Werner Benger
@hdesc Converted to C++
@hdate Mon Oct 11 11:48:20 1999 @hauthor Tom Goodale
@hdesc Added the rest of the initial data.
@endhistory
@@*/
extern "C" void IDScalarWaveCXX_InitialData(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
CCTK_REAL dt = CCTK_DELTA_TIME;
if(CCTK_Equals(initial_data, "plane"))
{
CCTK_REAL omega = sqrt(sqr(kx)+sqr(ky)+sqr(kz));
for(int k=0; k<cctk_lsh[2]; k++)
{
for(int j=0; j<cctk_lsh[1]; j++)
{
for(int i=0; i<cctk_lsh[0]; i++)
{
int vindex = CCTK_GFINDEX3D(cctkGH,i,j,k);
phi[vindex] = amplitude*cos(kx*x[vindex]+ky*y[vindex]+kz*z[vindex]+omega*cctk_time);
phi_p[vindex] = amplitude*cos(kx*x[vindex]+ky*y[vindex]+kz*z[vindex]+omega*(cctk_time-dt));
}
}
}
}
else if(CCTK_Equals(initial_data, "gaussian"))
{
for(int k=0; k<cctk_lsh[2]; k++)
{
for(int j=0; j<cctk_lsh[1]; j++)
{
for(int i=0; i<cctk_lsh[0]; i++)
{
int vindex = CCTK_GFINDEX3D(cctkGH,i,j,k);
CCTK_REAL X = x[vindex], Y = y[vindex], Z = z[vindex];
CCTK_REAL R = sqrt(X*X + Y*Y + Z*Z);
phi[vindex] = amplitude*exp( - sqr( (R - radius) / sigma ) );
if (R == 0.0)
{
phi_p[vindex] = amplitude*(1.0 - 2.0*dt*dt/sigma)*exp(-dt*dt/sigma);
}
else
{
phi_p[vindex] = amplitude/2.0*(R-dt)/R*
exp( - sqr( (R - radius - dt)/ sigma ) )
+ amplitude/2.0*(R+dt)/R*
exp( - sqr( (R - radius + dt)/ sigma ) );
}
}
}
}
}
else if(CCTK_Equals(initial_data, "box"))
{
CCTK_REAL pi = 4.0*atan(1.0);
CCTK_REAL omega = sqrt(sqr(kx)+sqr(ky)+sqr(kz));
for(int k=0; k<cctk_lsh[2]; k++)
{
for(int j=0; j<cctk_lsh[1]; j++)
{
for(int i=0; i<cctk_lsh[0]; i++)
{
int vindex = CCTK_GFINDEX3D(cctkGH,i,j,k);
phi[vindex] = amplitude*sin(kx*(x[vindex]-0.5)*pi)*
sin(ky*(y[vindex]-0.5)*pi)*
sin(kz*(z[vindex]-0.5)*pi)*
cos(omega*cctk_time*pi);
phi_p[vindex] = amplitude*sin(kx*(x[vindex]-0.5)*pi)*
sin(ky*(y[vindex]-0.5)*pi)*
sin(kz*(z[vindex]-0.5)*pi)*
cos(omega*(cctk_time-dt)*pi);
}
}
}
}
else if (CCTK_Equals(initial_data, "none"))
{
for(int k=0; k<cctk_lsh[2]; k++)
{
for(int j=0; j<cctk_lsh[1]; j++)
{
for(int i=0; i<cctk_lsh[0]; i++)
{
int vindex = CCTK_GFINDEX3D(cctkGH,i,j,k);
phi[vindex] = 0.0;
phi_p[vindex] = 0.0;
}
}
}
}
}
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