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/*@@
@file InitialData.F
@date
@author Tom Goodale
@desc
Initial data for the 3D Wave Equation
@enddesc
@@*/
#include "cctk.h"
#include "cctk_parameters.h"
#include "cctk_arguments.h"
/*@@
@routine WaveToyF90_InitialData
@date
@author Tom Goodale
@desc
Set up initial data for the wave equation
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
subroutine WaveToyF90_InitialData(CCTK_FARGUMENTS)
implicit none
DECLARE_CCTK_FARGUMENTS
DECLARE_CCTK_PARAMETERS
INTEGER CCTK_Equals
INTEGER :: i
CCTK_REAL :: dt,omega, pi
CCTK_REAL :: min_delta,dx,dy,dz
pi = 4.0*atan(1.0)
c Grid spacing shortcuts
c ----------------------
dx = cctk_delta_space(1)
dy = cctk_delta_space(2)
dz = cctk_delta_space(3)
c Calculate timestep
c ------------------
min_delta = min(dx,dy,dz)
cctk_delta_time = dtfac*min_delta
dt = cctk_delta_time
omega = sqrt(kx**2+ky**2+kz**2)
if (CCTK_Equals(initial_data,"plane")==1) then
phi = amplitude*cos(kx*x+ky*y+kz*z+omega*cctk_time)
phi_old = amplitude*cos(kx*x+ky*y+kz*z+omega*(cctk_time-dt))
else if (CCTK_Equals(initial_data,"gaussian")==1) then
call CCTK_INFO("Gaussian initial data for Wave Equation");
phi = amplitude*exp( -(sqrt(x**2+y**2+z**2)-radius)**2/sigma**2)
phi_old = amplitude*exp( -(sqrt(x**2+y**2+z**2)-radius-dt)**2/sigma**2)
else if (CCTK_Equals(initial_data, "box")==1) then
c Use kx,ky,kz as number of modes in each direction.
phi = amplitude*sin(kx*(x-0.5)*pi)*
$ sin(ky*(y-0.5)*pi)*
$ sin(kz*(z-0.5)*pi)*
$ cos(omega*cctk_time*pi)
phi_old = amplitude*sin(kx*(x-0.5)*pi)*
$ sin(ky*(y-0.5)*pi)*
$ sin(kz*(z-0.5)*pi)*
$ cos(omega*(cctk_time-dt)*pi)
end if
c Apply symmetry boundary conditions
c ----------------------------------
call ApplySymmetry(cctkGH,"wavetoy::scalarevolve")
c Synchronise
c -----------
call CCTK_SyncGroup(cctkGH,"wavetoy::scalarevolve")
end subroutine WaveToyF90_InitialData
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