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/*@@
@file InitialData.F77
@date
@author Tom Goodale
@desc
Initial data for the 3D Wave Equation
@enddesc
@@*/
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Functions.h"
#include "cctk_Parameters.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
CCTK_REAL one
parameter (one = 1)
INTEGER i,j,k
CCTK_REAL dt,omega, pi
CCTK_REAL xp,yp,zp,rp
pi = 4*atan(one)
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*x(i,j,k)+ky*y(i,j,k)
& +kz*z(i,j,k)+omega*cctk_time)
phi_p(i,j,k) = amplitude*cos(kx*x(i,j,k)+ky*y(i,j,k)
& +kz*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)
xp=x(i,j,k)
yp=y(i,j,k)
zp=z(i,j,k)
rp = sqrt(xp*xp+yp*yp+zp*zp)
phi(i,j,k) = amplitude*exp(-(rp-radius)**2/sigma**2)
if (rp .eq. 0.0) then
phi_p(i,j,k) = amplitude*(1.0 - 2.0*dt**2/sigma)*exp(-dt**2/sigma)
else
phi_p(i,j,k) = amplitude/2.0*(rp-dt)/rp*
& exp( - ( (rp-radius-dt)/sigma)**2 )
& + amplitude/2.0*(rp+dt)/rp*
& exp( - ( (rp-radius+dt)/sigma)**2 )
endif
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*(x(i,j,k)-0.5)*pi)*
& sin(ky*(y(i,j,k)-0.5)*pi)*
& sin(kz*(z(i,j,k)-0.5)*pi)*
& cos(omega*cctk_time*pi)
phi_p(i,j,k)= amplitude*sin(kx*(x(i,j,k)-0.5)*pi)*
& sin(ky*(y(i,j,k)-0.5)*pi)*
& sin(kz*(z(i,j,k)-0.5)*pi)*
& cos(omega*(cctk_time-dt)*pi)
end do
end do
end do
else if (CCTK_EQUALS(initial_data, "none")) then
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
return
end
|
