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c -*-Fortran-*-
/*@@
@file InitialData.F77
@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 IDScalarWave_InitialData
@date
@author Tom Goodale
@desc
Set up initial data for the wave equation
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
subroutine IDScalarWave_InitialData (CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_FUNCTIONS
INTEGER i,j,k
CCTK_REAL dt,omega, pi
print '("IDScalarWave_InitialData")'
pi = 4.d0*atan(1.d0)
dt = CCTK_DELTA_TIME
omega = sqrt(kx**2+ky**2+kz**2)
if (CCTK_EQUALS(initial_data,"plane")) then
do k=1,cctk_lsh(3)
do j=1,cctk_lsh(2)
do i=1,cctk_lsh(1)
phi(i,j,k) = amplitude
$ * cos(kx*cart3d_x(i,j,k) + ky*cart3d_y(i,j,k)
$ + kz*cart3d_z(i,j,k) + omega*cctk_time)
phi_p(i,j,k) = amplitude
$ * cos(kx*cart3d_x(i,j,k) + ky*cart3d_y(i,j,k)
$ + kz*cart3d_z(i,j,k) + omega*(cctk_time - dt))
end do
end do
end do
else if (CCTK_EQUALS(initial_data,"gaussian")) then
do k=1, cctk_lsh(3)
do j=1, cctk_lsh(2)
do i=1, cctk_lsh(1)
phi(i,j,k) = amplitude
$ * exp(- (sqrt(cart3d_x(i,j,k)**2 + cart3d_y(i,j,k)**2
$ + cart3d_z(i,j,k)**2) - radius)**2 / sigma**2)
phi_p(i,j,k) = amplitude
$ * exp(- (sqrt(cart3d_x(i,j,k)**2 + cart3d_y(i,j,k)**2
$ + cart3d_z(i,j,k)**2) - radius - dt)**2 / sigma**2)
end do
end do
end do
else if (CCTK_EQUALS(initial_data, "box")) then
c Use kx,ky,kz as number of modes in each direction.
do k=1,cctk_lsh(3)
do j=1,cctk_lsh(2)
do i=1,cctk_lsh(1)
phi(i,j,k) = amplitude
$ * sin(kx * (cart3d_x(i,j,k) - 0.5d0) * pi)
$ * sin(ky * (cart3d_y(i,j,k) - 0.5d0) * pi)
$ * sin(kz * (cart3d_z(i,j,k) - 0.5d0) * pi)
$ * cos(omega * cctk_time * pi)
phi_p(i,j,k)= amplitude
$ * sin(kx * (cart3d_x(i,j,k) - 0.5d0) * pi)
$ * sin(ky * (cart3d_y(i,j,k) - 0.5d0) * pi)
$ * sin(kz * (cart3d_z(i,j,k) - 0.5d0) * pi)
$ * cos(omega * (cctk_time-dt) * pi)
end do
end do
end do
else
do k=1,cctk_lsh(3)
do j=1,cctk_lsh(2)
do i=1,cctk_lsh(1)
phi(i,j,k) = 0.0d0
phi_p(i,j,k) = 0.0d0
end do
end do
end do
end if
end
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