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c -*-Fortran-*-
c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDSpaceTimeToy/src/InitialData.F77,v 1.8 2003/11/05 16:18:40 schnetter Exp $
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Functions.h"
#include "cctk_Parameters.h"
subroutine IDSpaceTimeToy_InitialData (CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_FUNCTIONS
CCTK_REAL pi
CCTK_REAL omega
CCTK_REAL dt
CCTK_REAL x,y,z, r
integer i,j,k
pi = 4*atan(1.d0)
omega = sqrt(kx**2+ky**2+kz**2)
dt = CCTK_DELTA_TIME
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)
x = cart3d_x(i,j,k)
y = cart3d_y(i,j,k)
z = cart3d_z(i,j,k)
phi(i,j,k) = amplitude
$ * cos((kx*x + ky*y + kz*z + omega*cctk_time) * pi)
psi(i,j,k) = - amplitude
$ * sin((kx*x + ky*y + kz*z + omega*cctk_time) * pi)
$ * pi * omega
phi_p(i,j,k) = amplitude
$ * cos((kx*x + ky*y + kz*z + omega*(cctk_time - dt)) * pi)
psi_p(i,j,k) = - amplitude
$ * sin((kx*x + ky*y + kz*z + omega*(cctk_time - dt)) * pi)
$ * pi * omega
phi_p_p(i,j,k) = amplitude
$ * cos((kx*x + ky*y + kz*z + omega*(cctk_time - 2*dt)) * pi)
psi_p_p(i,j,k) = - amplitude
$ * sin((kx*x + ky*y + kz*z + omega*(cctk_time - 2*dt)) * pi)
$ * pi * omega
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)
r = spher3d_r(i,j,k)
phi(i,j,k) = amplitude / r
$ * exp(- (r - radius - cctk_time)**2 / sigma**2)
psi(i,j,k) = phi(i,j,k)
$ * 2 * (r - radius - cctk_time) / sigma**2
phi_p(i,j,k) = amplitude / r
$ * exp(- (r - radius - (cctk_time - dt))**2 / sigma**2)
psi_p(i,j,k) = phi(i,j,k)
$ * 2 * (r - radius - (cctk_time - dt)) / sigma**2
phi_p_p(i,j,k) = amplitude / r
$ * exp(- (r - radius - (cctk_time - 2*dt))**2 / sigma**2)
psi_p_p(i,j,k) = phi(i,j,k)
$ * 2 * (r - radius - (cctk_time - 2*dt)) / 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)
x = cart3d_x(i,j,k)
y = cart3d_y(i,j,k)
z = cart3d_z(i,j,k)
phi(i,j,k) = amplitude
$ * sin(kx * (x - 0.5d0) * pi)
$ * sin(ky * (y - 0.5d0) * pi)
$ * sin(kz * (z - 0.5d0) * pi)
$ * cos(omega * cctk_time * pi)
psi(i,j,k) = - amplitude
$ * sin(kx * (x - 0.5d0) * pi)
$ * sin(ky * (y - 0.5d0) * pi)
$ * sin(kz * (z - 0.5d0) * pi)
$ * sin(omega * cctk_time * pi)
$ * omega * pi
phi_p(i,j,k) = amplitude
$ * sin(kx * (x - 0.5d0) * pi)
$ * sin(ky * (y - 0.5d0) * pi)
$ * sin(kz * (z - 0.5d0) * pi)
$ * cos(omega * (cctk_time - dt) * pi)
psi_p(i,j,k) = - amplitude
$ * sin(kx * (x - 0.5d0) * pi)
$ * sin(ky * (y - 0.5d0) * pi)
$ * sin(kz * (z - 0.5d0) * pi)
$ * sin(omega * (cctk_time - dt) * pi)
$ * omega * pi
phi_p_p(i,j,k) = amplitude
$ * sin(kx * (x - 0.5d0) * pi)
$ * sin(ky * (y - 0.5d0) * pi)
$ * sin(kz * (z - 0.5d0) * pi)
$ * cos(omega * (cctk_time - 2*dt) * pi)
psi_p_p(i,j,k) = - amplitude
$ * sin(kx * (x - 0.5d0) * pi)
$ * sin(ky * (y - 0.5d0) * pi)
$ * sin(kz * (z - 0.5d0) * pi)
$ * sin(omega * (cctk_time - 2*dt) * pi)
$ * omega * 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
psi(i,j,k) = 0
phi_p(i,j,k) = 0
psi_p(i,j,k) = 0
phi_p_p(i,j,k) = 0
psi_p_p(i,j,k) = 0
end do
end do
end do
end if
if (hydrotoy_active.eq.1) then
do k=1,cctk_lsh(3)
do j=1,cctk_lsh(2)
do i=1,cctk_lsh(1)
psi(i,j,k) = psi(i,j,k) - u(i,j,k)
psi_p(i,j,k) = psi_p(i,j,k) - u_p(i,j,k)
psi_p_p(i,j,k) = psi_p_p(i,j,k) - u_p_p(i,j,k)
end do
end do
end do
end if
end
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