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c -*-Fortran-*-
c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDFOScalarWave/src/InitialData.F77,v 1.8 2003/11/05 16:18:40 schnetter Exp $
/*@@
@file InitialData.F77
@date
@author Scott Hawley, using code from Tom Goodale, Erik Schnetter
@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 IDFOScalarWave_InitialData
@date
@author Scott Hawley, using code from Tom Goodale, Erik Schnetter
@desc
Set up initial data for the wave equation
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
subroutine IDFOScalarWave_InitialData (CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_FUNCTIONS
INTEGER i,j,k
CCTK_REAL dt,omega, cpi
CCTK_REAL ri3
c call CCTK_INFO ("IDFOScalarWave_InitialData")
cpi = 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*x(i,j,k) + ky*y(i,j,k) + kz*z(i,j,k)
$ + omega*cctk_time) * cpi)
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)) * cpi)
phi_p_p(i,j,k) = amplitude
$ * cos((kx*x(i,j,k) + ky*y(i,j,k) + kz*z(i,j,k)
$ + omega*(cctk_time - 2*dt)) * cpi)
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(- (x(i,j,k) - radius)**2 / sigma**2)
$ * exp(- (y(i,j,k) - radius)**2 / sigma**2)
$ * exp(- (z(i,j,k) - radius)**2 / sigma**2)
pi(i,j,k) = 0.0
phix(i,j,k) = phi(i,j,k)* (-2) * (x(i,j,k) - radius)
$ / sigma**2
phiy(i,j,k) = phi(i,j,k)* (-2) * (y(i,j,k) - radius)
$ / sigma**2
phiz(i,j,k) = phi(i,j,k)* (-2) * (z(i,j,k) - radius)
$ / sigma**2
pi_p(i,j,k) = amplitude *
& exp( -(x(i,j,k) - radius - dt)**2 / sigma**2 )*
& exp( -(y(i,j,k) - radius - dt)**2 / sigma**2 )*
& exp( -(z(i,j,k) - radius - dt)**2 / sigma**2 )*
& ((x(i,j,k)-radius-dt) + (y(i,j,k)-radius-dt)
$ + (z(i,j,k)-radius-dt))/sigma**2
& - amplitude *
& exp( -(x(i,j,k) - radius + dt)**2 / sigma**2 )*
& exp( -(y(i,j,k) - radius + dt)**2 / sigma**2 )*
& exp( -(z(i,j,k) - radius + dt)**2 / sigma**2 )*
& ((x(i,j,k)-radius+dt) + (y(i,j,k)-radius+dt)
& + (z(i,j,k)-radius+dt))/sigma**2
pi_p_p(i,j,k) = amplitude *
& exp( -(x(i,j,k) - radius - 2*dt)**2 / sigma**2 )*
& exp( -(y(i,j,k) - radius - 2*dt)**2 / sigma**2 )*
& exp( -(z(i,j,k) - radius - 2*dt)**2 / sigma**2 )*
& ((x(i,j,k)-radius-2*dt) + (y(i,j,k)-radius-2*dt)
& + (z(i,j,k)-radius-2*dt))/sigma**2
& - amplitude *
& exp( -(x(i,j,k) - radius + 2*dt)**2 / sigma**2 )*
& exp( -(y(i,j,k) - radius + 2*dt)**2 / sigma**2 )*
& exp( -(z(i,j,k) - radius + 2*dt)**2 / sigma**2 )*
& ((x(i,j,k)-radius+2*dt) + (y(i,j,k)-radius+2*dt)
& + (z(i,j,k)-radius+2*dt))/sigma**2
phix_p(i,j,k) = - amplitude * (x(i,j,k) - radius - dt)
& / sigma**2
& * exp( -(x(i,j,k) - radius - dt)**2 / sigma**2 )*
& exp( -(y(i,j,k) - radius - dt)**2 / sigma**2 )*
& exp( -(z(i,j,k) - radius - dt)**2 / sigma**2 )
& - amplitude * (x(i,j,k) - radius + dt)
& / sigma**2
& * exp( -(x(i,j,k) - radius + dt)**2 / sigma**2 )*
& exp( -(y(i,j,k) - radius + dt)**2 / sigma**2 )*
& exp( -(z(i,j,k) - radius + dt)**2 / sigma**2 )
phix_p_p(i,j,k) = - amplitude * (x(i,j,k) - radius - 2*dt)
& / sigma**2
& * exp( -(x(i,j,k) - radius - 2*dt)**2 / sigma**2 )*
& exp( -(y(i,j,k) - radius - 2*dt)**2 / sigma**2 )*
& exp( -(z(i,j,k) - radius - 2*dt)**2 / sigma**2 )
& - amplitude * (x(i,j,k) - radius + 2*dt)
& / sigma**2
& * exp( -(x(i,j,k) - radius + 2*dt)**2 / sigma**2 )*
& exp( -(y(i,j,k) - radius + 2*dt)**2 / sigma**2 )*
& exp( -(z(i,j,k) - radius + 2*dt)**2 / sigma**2 )
phiy_p(i,j,k) = - amplitude * (y(i,j,k) - radius - dt)
& / sigma**2
& * exp( -(x(i,j,k) - radius - dt)**2 / sigma**2 )*
& exp( -(y(i,j,k) - radius - dt)**2 / sigma**2 )*
& exp( -(z(i,j,k) - radius - dt)**2 / sigma**2 )
& - amplitude * (y(i,j,k) - radius + dt)
& / sigma**2
& * exp( -(x(i,j,k) - radius + dt)**2 / sigma**2 )*
& exp( -(y(i,j,k) - radius + dt)**2 / sigma**2 )*
& exp( -(z(i,j,k) - radius + dt)**2 / sigma**2 )
phiy_p_p(i,j,k) = - amplitude * (y(i,j,k) - radius - 2*dt)
& / sigma**2
& * exp( -(x(i,j,k) - radius - 2*dt)**2 / sigma**2 )*
& exp( -(y(i,j,k) - radius - 2*dt)**2 / sigma**2 )*
& exp( -(z(i,j,k) - radius - 2*dt)**2 / sigma**2 )
& - amplitude * (y(i,j,k) - radius + 2*dt)
& / sigma**2
& * exp( -(x(i,j,k) - radius + 2*dt)**2 / sigma**2 )*
& exp( -(y(i,j,k) - radius + 2*dt)**2 / sigma**2 )*
& exp( -(z(i,j,k) - radius + 2*dt)**2 / sigma**2 )
phiz_p(i,j,k) = - amplitude * (z(i,j,k) - radius - dt)
& / sigma**2
& * exp( -(x(i,j,k) - radius - dt)**2 / sigma**2 )*
& exp( -(y(i,j,k) - radius - dt)**2 / sigma**2 )*
& exp( -(z(i,j,k) - radius - dt)**2 / sigma**2 )
& - amplitude * (z(i,j,k) - radius + dt)
& / sigma**2
& * exp( -(x(i,j,k) - radius + dt)**2 / sigma**2 )*
& exp( -(y(i,j,k) - radius + dt)**2 / sigma**2 )*
& exp( -(z(i,j,k) - radius + dt)**2 / sigma**2 )
phiz_p_p(i,j,k) = - amplitude * (z(i,j,k) - radius - 2*dt)
& / sigma**2
& * exp( -(x(i,j,k) - radius - 2*dt)**2 / sigma**2 )*
& exp( -(y(i,j,k) - radius - 2*dt)**2 / sigma**2 )*
& exp( -(z(i,j,k) - radius - 2*dt)**2 / sigma**2 )
& - amplitude * (z(i,j,k) - radius + 2*dt)
& / sigma**2
& * exp( -(x(i,j,k) - radius + 2*dt)**2 / sigma**2 )*
& exp( -(y(i,j,k) - radius + 2*dt)**2 / sigma**2 )*
& exp( -(z(i,j,k) - radius + 2*dt)**2 / sigma**2 )
phi_p(i,j,k) = amplitude / 2 *
& exp( -(x(i,j,k) - radius - dt)**2 / sigma**2 )*
& exp( -(y(i,j,k) - radius - dt)**2 / sigma**2 )*
& exp( -(z(i,j,k) - radius - dt)**2 / sigma**2 )
& + amplitude / 2 *
& exp( -(x(i,j,k) - radius + dt)**2 / sigma**2 )*
& exp( -(y(i,j,k) - radius + dt)**2 / sigma**2 )*
& exp( -(z(i,j,k) - radius + dt)**2 / sigma**2 )
phi_p_p(i,j,k) = amplitude / 2 *
& exp( -(x(i,j,k) - radius - 2*dt)**2 / sigma**2 )*
& exp( -(y(i,j,k) - radius - 2*dt)**2 / sigma**2 )*
& exp( -(z(i,j,k) - radius - 2*dt)**2 / sigma**2 )
& + amplitude / 2 *
& exp( -(x(i,j,k) - radius + 2*dt)**2 / sigma**2 )*
& exp( -(y(i,j,k) - radius + 2*dt)**2 / sigma**2 )*
& exp( -(z(i,j,k) - radius + 2*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 * (x(i,j,k) - 0.5d0) * cpi)
$ * sin(ky * (y(i,j,k) - 0.5d0) * cpi)
$ * sin(kz * (z(i,j,k) - 0.5d0) * cpi)
phi_p(i,j,k) = phi(i,j,k)
$ * cos(omega * (cctk_time - dt) * cpi)
phi_p_p(i,j,k) = phi(i,j,k)
$ * cos(omega * (cctk_time - 2*dt) * cpi)
phi(i,j,k) = phi(i,j,k) * cos(omega * cctk_time * cpi)
end do
end do
end do
else if (CCTK_EQUALS(initial_data, "1/r")) then
do k=1,cctk_lsh(3)
do j=1,cctk_lsh(2)
do i=1,cctk_lsh(1)
pi(i,j,k) = 0.0
phi(i,j,k) = 1 / sqrt(x(i,j,k)**2 + y(i,j,k)**2
& + z(i,j,k)**2)
ri3 = phi(i,j,k)**3
phix(i,j,k) = - x(i,j,k) * ri3
phiy(i,j,k) = - y(i,j,k) * ri3
phiz(i,j,k) = - z(i,j,k) * ri3
pi_p(i,j,k) = pi(i,j,k)
pi_p_p(i,j,k) = pi(i,j,k)
phix_p(i,j,k) = phix(i,j,k)
phix_p_p(i,j,k) = phix(i,j,k)
phiy_p(i,j,k) = phiy(i,j,k)
phiy_p_p(i,j,k) = phiy(i,j,k)
phiz_p(i,j,k) = phiz(i,j,k)
phiz_p_p(i,j,k) = phiz(i,j,k)
phi_p(i,j,k) = phi(i,j,k)
phi_p_p(i,j,k) = phi(i,j,k)
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
phi_p_p(i,j,k) = 0.0d0
end do
end do
end do
end if
end
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