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/*@@
@file GRHydro_TOV.F90
@date Wed Feb 13 02:53:25 2002
@author Scott Hawley
@desc
Initial data of the TOV type.
@enddesc
@@*/
#include "cctk.h"
#include "cctk_Parameters.h"
#include "cctk_Arguments.h"
/*@@
@routine GRHydro_TOV
@date Sat Jan 26 02:53:49 2002
@author Scott Hawley
@desc
Initial data for TOV stars.
@enddesc
@calls
@calledby
@history
Alteration of the GRHydro_shockwave written by Ian Hawke
@endhistory
@@*/
subroutine GRHydro_TOV(CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
real*8 rho0
common / com_tov / rho0
integer nr, n_succ
integer i,j,k,nx,ny,nz
integer CCTK_Equals
CCTK_REAL rmax, dr
CCTK_REAL xlb, xub
CCTK_REAL ylb, yub
CCTK_REAL zlb, zub
CCTK_REAL tol
parameter ( tol = 1e-10 )
CCTK_REAL, allocatable, dimension (:) :: gtt, grr
CCTK_REAL det
integer rc
#include "EOS_Base.inc"
#ifdef HAVE_ODEPACK
nx = cctk_lsh(1)
ny = cctk_lsh(2)
nz = cctk_lsh(3)
!-----------------------------------------------------------
! Set up the 1D spherical grid
!-----------------------------------------------------------
! decide maximum radius to integrate out to:
! Just use the maximum diagonal width of the grid
! BUG: this may not be the proper procedure call
call CCTK_CoordRange(cctkGH, xlb, xub, -1, "x", "cart3d")
call CCTK_CoordRange(cctkGH, ylb, yub, -1, "y", "cart3d")
call CCTK_CoordRange(cctkGH, zlb, zub, -1, "z", "cart3d")
rmax = sqrt( (xub-xlb)**2 + (yub-ylb)**2 + (zub-zlb)**2 )
nr = tov_nr
dr = rmax / (nr - 1)
do j = 1, nr
tov_r(j) = (j-1) * dr
enddo
!-----------------------------------------------------------
! Assign data at r=0
!-----------------------------------------------------------
rho0 = GRHydro_rho_central
tov_rho(1) = rho0
tov_alpha(1) = 1.0
tov_m(1) = 0.0
!-----------------------------------------------------------
! Get the 1D TOV data
!-----------------------------------------------------------
call tov_lsoda (tov_rho, tov_p, tov_m, tov_alpha, &
tov_r, nr, tol , n_succ, rc)
!-----------------------------------------------------------
! Handle any errors from integration routine
!-----------------------------------------------------------
if (rc .ne. 0) then
call CCTK_WARN(0,"Fatal error in TOV integration")
endif
if (n_succ .lt. nr) then
call CCTK_WARN(0,"TOV integration did not extend as far out as requested")
endif
nr = n_succ
!-----------------------------------------------------------
! fill in additional physical info
!-----------------------------------------------------------
do j=1,nr
! BUG: the call looks something like this...
tov_rho(j) = EOS_RestMassDens(GRHydro_eos_handle,tov_p(j))
end do
!-----------------------------------------------------------
! Generate 3D data from 1D data
! BUG: These Spin1D functions do not yet exist!
!-----------------------------------------------------------
call Spin1D(tov_rho, tov_r, nr, rho, x, y, z, nx, ny, nz)
call Spin1D(tov_p, tov_r, nr, press, x, y, z, nx, ny, nz)
call Spin1D(tov_rho, tov_r, nr, eps, x, y, z, nx, ny, nz)
allocate(grr(nr), gtt(nr))
do i = 1, nr
grr(i) = tov_r(i) / (tov_r(i) - 2*tov_m(i))
gtt(i) = - tov_alpha(i)**2
enddo
call Spin1DMetric(tov_m, tov_r, nr, gxx, gxy, gxz, gyy, gyz, gzz, &
x, y, z, nx, ny, nz)
call Spin1DMetric(grr, gtt, gxx, gxy, gxz, gyy, gyz, gzz, nx, ny, nz, &
x, y, z, r)
deallocate(gtt)
deallocate(grr)
do i=1,nx
do j=1,ny
do k=1,nz
velx(i,j,k) = 0.0
vely(i,j,k) = 0.0
velz(i,j,k) = 0.0
w_lorentz(i,j,k) = 1.0
end do
end do
enddo
!-----------------------------------------------------------
! Set additional variables
!-----------------------------------------------------------
! Conserved Variables
det = 1.0d0
call prim2con(GRHydro_eos_handle,gxx, gxy, gxz, gyy, gyz, gzz, det, &
dens, sx, sy, sz, tau, rho, &
velx, vely, velz, eps, press, w_lorentz)
! Copy data to other time steps
do i=1,nx
do j=1,ny
do k=1,nz
! Primitive variables
rho_p(i,j,k) = rho(i,j,k)
press_p(i,j,k) = press(i,j,k)
eps_p(i,j,k) = eps(i,j,k)
velx_p(i,j,k) = velx(i,j,k)
vely_p(i,j,k) = vely(i,j,k)
velz_p(i,j,k) = velz(i,j,k)
w_lorentz_p(i,j,k) = w_lorentz(i,j,k)
! Conserved variables
dens_p(i,j,k) = dens(i,j,k)
tau_p(i,j,k) = tau(i,j,k)
sx_p(i,j,k) = sx(i,j,k)
sy_p(i,j,k) = sy(i,j,k)
sz_p(i,j,k) = sz(i,j,k)
end do
end do
end do
! BUG: Why am I doing this?
densrhs = 0.d0
sxrhs = 0.d0
syrhs = 0.d0
szrhs = 0.d0
taurhs = 0.d0
return
end subroutine GRHydro_TOV
! =======================================================================
subroutine Spin1D(rad_func, r, nr, cart_func, x, y, z, &
nx, ny, nz)
! ................................................................
! Takes a "radial grid function" and creates a 3D grid function
! BUG/FEATURE: This doesnt do any fancy interpolation at all!
!
implicit none
integer nr, nx, ny, nz
CCTK_REAL rad_func(nr), r(nr)
CCTK_REAL cart_func(nx,ny,nz), x(nx,ny,nz), y(nx,ny,nz), z(nx,ny,nz)
integer i,j,k, ri
real rloc
do k = 1, nz
do j = 1, ny
do i = 1, nx
! Given a point in 3D cartesian space, substitute next-further-out data
! value in 1D spherical space
rloc = sqrt(x(i,j,k)**2 + y(i,j,k)**2 + z(i,j,k)**2)
ri = 1
100 continue
if (r(ri) .lt. rloc) then
ri = ri+1
endif
cart_func(i,j,k) = rad_func(ri)
end do
end do
end do
end subroutine Spin1D
! =======================================================================
subroutine Spin1DMetric(grr,gtt,gxx,gxy, &
gxz,gyy,gyz,gzz,nx,ny,nz,x,y,z,r)
! ................................................................
! this subroutine converts spherical metric components to cartesian
!
! This code was totally ripped off of Francisco Guzmans spheretocart
! code. Used with his persmission.
implicit NONE
integer nx,ny,nz
integer i,j,k
CCTK_REAL x(nx,ny,nz),y(nx,ny,nz),z(nx,ny,nz),r(nx,ny,nz)
CCTK_REAL grr(nx,ny,nz),gtt(nx,ny,nz)
CCTK_REAL gxx(nx,ny,nz),gxy(nx,ny,nz),gxz(nx,ny,nz)
CCTK_REAL gyy(nx,ny,nz),gyz(nx,ny,nz),gzz(nx,ny,nz)
CCTK_REAL xp,yp,zp,rp
! define derivatives drx = (dr/dx)
CCTK_REAL drx,dry,drz
CCTK_REAL dtx,dty,dtz
CCTK_REAL dpx,dpy,dpz
! this equation for gxx gyy gzz assumes that the metric is diagonal
! and that grr = 1 at the origin, but should compute for all points
! including the origin and the line x=y=0.
do k = 1, nz
do j = 1, ny
do i = 1, nx
xp = x(i,j,k)
yp = y(i,j,k)
zp = z(i,j,k)
rp = r(i,j,k)
if (rp.eq.0) then
gxx(i,j,k) = 1.
gyy(i,j,k) = 1.
gzz(i,j,k) = 1.
gxy(i,j,k) = 0.
gxz(i,j,k) = 0.
gyz(i,j,k) = 0.
else
gxx(i,j,k) = (xp/rp)**2 * grr(i,j,k) + &
(zp**2 + yp**2)/(rp**2)
gyy(i,j,k) = (yp/rp)**2 * grr(i,j,k) + &
(xp**2 + zp**2)/(rp**2)
gzz(i,j,k) = (zp/rp)**2 * grr(i,j,k) + &
(xp**2 + yp**2)/(rp**2)
if ((xp.eq.0) .and. (yp.eq.0)) then
gxy(i,j,k) = 0.
gyz(i,j,k) = 0.
gxz(i,j,k) = 0.
else
gxy(i,j,k) = (xp * yp/(rp**2) * grr(i,j,k) &
+ (xp*yp*zp**2)/(rp**2*(xp**2+yp**2)) &
- (yp*xp)/(xp**2+yp**2))
gxz(i,j,k) = (xp * zp/(rp**2) &
* grr(i,j,k) - (xp * zp/(rp**2)))
gyz(i,j,k) = (yp * zp/(rp**2) &
* grr(i,j,k) - (yp * zp/(rp**2)))
endif
endif
enddo
enddo
enddo
#else
write(6,*) 'GRHydro_TOV: Does nothing. Recompile with odepack'
#endif
return
end
|
