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c -*-Fortran-*-
c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDHydroToy/src/InitialData.F77,v 1.2 2001/03/19 21:30:37 eschnett Exp $
#include "cctk.h"
#include "cctk_Parameters.h"
#include "cctk_Arguments.h"
subroutine IDHydroToy_InitialData (CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_FUNCTIONS
CCTK_REAL pi
CCTK_REAL omega
integer i,j,k
CCTK_REAL vr
external erf
real*8 erf
pi = 4*atan(1.d0)
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)
u(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) * pi)
vx(i,j,k) = u(i,j,k) * kx / omega
vy(i,j,k) = u(i,j,k) * ky / omega
vz(i,j,k) = u(i,j,k) * kz / 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)
u(i,j,k) = amplitude / spher3d_r(i,j,k)
$ * exp(- (spher3d_r(i,j,k) - radius + cctk_time)**2 / sigma**2)
c vr = -1/2*A*(sqrt(Pi)*sigma*erf((t-r+R)/sigma)+2*exp(-(t-r+R)^2/(sigma^2))*r)/(r^2)
vr = -0.5d0 * amplitude
$ * (sqrt(pi) * sigma * erf((cctk_time - spher3d_r(i,j,k) + radius) / sigma)
$ + 2*exp(-(cctk_time - spher3d_r(i,j,k) + radius)**2 / sigma**2) * spher3d_r(i,j,k))
$ / spher3d_r(i,j,k)**2
vx(i,j,k) = vr * cart3d_x(i,j,k)/spher3d_r(i,j,k)
vy(i,j,k) = vr * cart3d_y(i,j,k)/spher3d_r(i,j,k)
vz(i,j,k) = vr * cart3d_z(i,j,k)/spher3d_r(i,j,k)
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)
u(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)
vx(i,j,k) = amplitude
$ * cos(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)
$ * sin(omega * cctk_time * pi)
$ * kx / omega
vy(i,j,k) = amplitude
$ * sin(kx * (cart3d_x(i,j,k) - 0.5d0) * pi)
$ * cos(ky * (cart3d_y(i,j,k) - 0.5d0) * pi)
$ * sin(kz * (cart3d_z(i,j,k) - 0.5d0) * pi)
$ * sin(omega * cctk_time * pi)
$ * ky / omega
vz(i,j,k) = amplitude
$ * sin(kx * (cart3d_x(i,j,k) - 0.5d0) * pi)
$ * sin(ky * (cart3d_y(i,j,k) - 0.5d0) * pi)
$ * cos(kz * (cart3d_z(i,j,k) - 0.5d0) * pi)
$ * sin(omega * cctk_time * pi)
$ * kz / omega
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)
u(i,j,k) = 0
vx(i,j,k) = 0
vy(i,j,k) = 0
vz(i,j,k) = 0
end do
end do
end do
end if
end
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