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|
/*@@
@file GRHydro_HLLE.F90
@date Sat Jan 26 01:40:14 2002
@author Ian Hawke, Pedro Montero, Toni Font
@desc
The HLLE solver. Called from the wrapper function, so works in
all directions.
@enddesc
@@*/
#include "cctk.h"
#include "cctk_Parameters.h"
#include "cctk_Arguments.h"
#include "cctk_Functions.h"
#include "GRHydro_Macros.h"
#include "SpaceMask.h"
/*@@
@routine GRHydro_HLLE
@date Sat Jan 26 01:41:02 2002
@author Ian Hawke, Pedro Montero, Toni Font
@desc
The HLLE solver. Sufficiently simple that its just one big routine.
@enddesc
@calls
@calledby
@history
Altered from Cactus 3 routines originally written by Toni Font.
@endhistory
@@*/
! eta across face in x-direction
#define etaX(i,j,k, v, c) \
(0.5d0*(abs(v(i+1,j,k,0)-v(i,j,k,0)) + abs(c(i+1,j,k)-c(i,j,k))))
! eta across face in x-direction
#define etaY(i,j,k, v, c) \
(0.5d0*(abs(v(i,j+1,k,1)-v(i,j,k,1)) + abs(c(i,j+1,k)-c(i,j,k))))
! eta across face in x-direction
#define etaZ(i,j,k, v, c) \
(0.5d0*(abs(v(i,j,k+1,2)-v(i,j,k,2)) + abs(c(i,j,k+1)-c(i,j,k))))
subroutine H_viscosity(CCTK_ARGUMENTS)
implicit none
! save memory when MP is not used
! TARGET as to be before DECLARE_CCTK_ARGUMENTS for gcc 4.1
TARGET gaa, gab, gac, gbb, gbc, gcc
TARGET gxx, gxy, gxz, gyy, gyz, gzz
TARGET lvel, vel
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
integer :: i, j, k, nx, ny, nz
CCTK_REAL dpdrho,dpdeps, cs2
character*256 :: warnline
! save memory when MP is not used
CCTK_INT :: GRHydro_UseGeneralCoordinates
CCTK_REAL, DIMENSION(:,:,:), POINTER :: g11, g12, g13, g22, g23, g33
CCTK_REAL, DIMENSION(:,:,:,:), POINTER :: vup
! begin EOS Omni vars
integer :: n,keytemp,anyerr,keyerr(1)
real*8 :: xpress(1),xeps(1),xtemp(1),xye(1)
n = 1;keytemp = 0;anyerr = 0;keyerr(1) = 0
xpress = 0.0d0;xeps = 0.0d0;xtemp = 0.0d0;xye = 0.0d0
! end EOS Omni vars
! save memory when MP is not used
if (GRHydro_UseGeneralCoordinates(cctkGH).ne.0) then
g11 => gaa
g12 => gab
g13 => gac
g22 => gbb
g23 => gbc
g33 => gcc
vup => lvel
else
g11 => gxx
g12 => gxy
g13 => gxz
g22 => gyy
g23 => gyz
g33 => gzz
vup => vel
end if
nx = cctk_lsh(1)
ny = cctk_lsh(2)
nz = cctk_lsh(3)
!$OMP PARALLEL DO PRIVATE(i,j,k,&
!$OMP anyerr, keyerr, keytemp,&
!$OMP warnline, xpress,xeps,xtemp,xye, dpdrho, dpdeps, cs2)
do k = 1, nz
do j = 1, ny
do i = 1, nx
! set to zero initially
eos_c(i,j,k) = 0.0d0
!do not compute if in atmosphere or in excised region
if ((atmosphere_mask(i,j,k) .ne. 0) .or. &
(GRHydro_enable_internal_excision /= 0 .and. (hydro_excision_mask(i,j,k) .gt. 0))) cycle
!!$ Set required fluid quantities
if (evolve_temper.ne.1) then
call EOS_Omni_press(GRHydro_eos_handle,keytemp,GRHydro_eos_rf_prec,n,&
rho(i,j,k),eps(i,j,k),xtemp,xye,xpress,keyerr,anyerr)
call EOS_Omni_DPressByDEps(GRHydro_eos_handle,keytemp,GRHydro_eos_rf_prec,n,&
rho(i,j,k),eps(i,j,k),xtemp,xye,dpdeps,keyerr,anyerr)
call EOS_Omni_DPressByDRho(GRHydro_eos_handle,keytemp,GRHydro_eos_rf_prec,n,&
rho(i,j,k),eps(i,j,k),xtemp,xye,dpdrho,keyerr,anyerr)
cs2 = (dpdrho + xpress(1) * dpdeps / (rho(i,j,k)**2))/ &
(1.0d0 + eps(i,j,k) + xpress(1)/rho(i,j,k))
eos_c(i,j,k) = sqrt(cs2)
else
call EOS_Omni_cs2(GRHydro_eos_handle,keytemp,GRHydro_eos_rf_prec,n,&
rho(i,j,k),eps(i,j,k),temperature(i,j,k),Y_e(i,j,k),cs2,keyerr,anyerr)
eos_c(i,j,k) = sqrt(cs2)
end if
end do
end do
end do
end subroutine H_viscosity
subroutine GRHydro_HLLE(CCTK_ARGUMENTS)
USE GRHydro_Eigenproblem
implicit none
! save memory when MP is not used
! TARGET as to be before DECLARE_CCTK_ARGUMENTS for gcc 4.1
TARGET gaa, gab, gac, gbb, gbc, gcc
TARGET gxx, gxy, gxz, gyy, gyz, gzz
TARGET betaa, betab, betac
TARGET betax, betay, betaz
TARGET lvel, vel
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
integer :: i, j, k, m
integer :: keytemp
CCTK_REAL, dimension(5) :: consp,consm_i,fplus,fminus,lamplus
CCTK_REAL, dimension(5) :: f1,lamminus
CCTK_REAL, dimension(5) :: qdiff
CCTK_REAL :: charmin, charmax, charpm,avg_alp,avg_det, etabar
CCTK_REAL :: gxxh, gxyh, gxzh, gyyh, gyzh, gzzh, uxxh, uxyh, &
uxzh, uyyh, uyzh, uzzh, avg_beta, usendh
CCTK_INT :: type_bits, trivial
! sign requires its arguments to be of identical KIND
CCTK_REAL, parameter :: one = 1d0
! save memory when MP is not used
CCTK_INT :: GRHydro_UseGeneralCoordinates
CCTK_REAL, DIMENSION(:,:,:), POINTER :: g11, g12, g13, g22, g23, g33
CCTK_REAL, DIMENSION(:,:,:), POINTER :: beta1, beta2, beta3
CCTK_REAL, DIMENSION(:,:,:,:), POINTER :: vup
if (GRHydro_UseGeneralCoordinates(cctkGH).ne.0) then
g11 => gaa
g12 => gab
g13 => gac
g22 => gbb
g23 => gbc
g33 => gcc
beta1 => betaa
beta2 => betab
beta3 => betac
vup => lvel
else
g11 => gxx
g12 => gxy
g13 => gxz
g22 => gyy
g23 => gyz
g33 => gzz
beta1 => betax
beta2 => betay
beta3 => betaz
vup => vel
end if
if (flux_direction == 1) then
call SpaceMask_GetTypeBits(type_bits, "Hydro_RiemannProblemX")
call SpaceMask_GetStateBits(trivial, "Hydro_RiemannProblemX", &
&"trivial")
else if (flux_direction == 2) then
call SpaceMask_GetTypeBits(type_bits, "Hydro_RiemannProblemY")
call SpaceMask_GetStateBits(trivial, "Hydro_RiemannProblemY", &
&"trivial")
else if (flux_direction == 3) then
call SpaceMask_GetTypeBits(type_bits, "Hydro_RiemannProblemZ")
call SpaceMask_GetStateBits(trivial, "Hydro_RiemannProblemZ", &
&"trivial")
else
call CCTK_ERROR("Flux direction not x,y,z")
end if
if(evolve_temper.eq.1.and.reconstruct_temper.eq.1) then
keytemp = 1
else
keytemp = 0
endif
!$OMP PARALLEL DO PRIVATE(k,j,i,f1,lamminus,lamplus,consp,consm_i, &
!$OMP fplus,fminus,qdiff,avg_beta,avg_alp, &
!$OMP avg_det,gxxh,gxyh,gxzh,gyyh,gyzh,gzzh, &
!$OMP uxxh,uxyh,uxzh,uyyh,uyzh,uzzh, &
!$OMP usendh, charmin, charmax, charpm, &
!$OMP m,etabar)
do k = GRHydro_stencil, cctk_lsh(3) - GRHydro_stencil
do j = GRHydro_stencil, cctk_lsh(2) - GRHydro_stencil
do i = GRHydro_stencil, cctk_lsh(1) - GRHydro_stencil
f1 = 0.d0
lamminus = 0.d0
lamplus = 0.d0
consp = 0.d0
consm_i = 0.d0
fplus = 0.d0
fminus = 0.d0
qdiff = 0.d0
!!$ Set the left (p for plus) and right (m_i for minus, i+1) states
consp(1) = densplus(i,j,k)
consp(2) = sxplus(i,j,k)
consp(3) = syplus(i,j,k)
consp(4) = szplus(i,j,k)
consp(5) = tauplus(i,j,k)
consm_i(1) = densminus(i+xoffset,j+yoffset,k+zoffset)
consm_i(2) = sxminus(i+xoffset,j+yoffset,k+zoffset)
consm_i(3) = syminus(i+xoffset,j+yoffset,k+zoffset)
consm_i(4) = szminus(i+xoffset,j+yoffset,k+zoffset)
consm_i(5) = tauminus(i+xoffset,j+yoffset,k+zoffset)
!!$ Calculate various metric terms here.
!!$ Note also need the average of the lapse at the
!!$ left and right points.
if (flux_direction == 1) then
avg_beta = 0.5d0 * (beta1(i+xoffset,j+yoffset,k+zoffset) + &
beta1(i,j,k))
else if (flux_direction == 2) then
avg_beta = 0.5d0 * (beta2(i+xoffset,j+yoffset,k+zoffset) + &
beta2(i,j,k))
else if (flux_direction == 3) then
avg_beta = 0.5d0 * (beta3(i+xoffset,j+yoffset,k+zoffset) + &
beta3(i,j,k))
else
call CCTK_ERROR("Flux direction not x,y,z")
end if
avg_alp = 0.5 * (alp(i,j,k) + alp(i+xoffset,j+yoffset,k+zoffset))
gxxh = 0.5d0 * (g11(i+xoffset,j+yoffset,k+zoffset) + g11(i,j,k))
gxyh = 0.5d0 * (g12(i+xoffset,j+yoffset,k+zoffset) + g12(i,j,k))
gxzh = 0.5d0 * (g13(i+xoffset,j+yoffset,k+zoffset) + g13(i,j,k))
gyyh = 0.5d0 * (g22(i+xoffset,j+yoffset,k+zoffset) + g22(i,j,k))
gyzh = 0.5d0 * (g23(i+xoffset,j+yoffset,k+zoffset) + g23(i,j,k))
gzzh = 0.5d0 * (g33(i+xoffset,j+yoffset,k+zoffset) + g33(i,j,k))
avg_det = SPATIAL_DETERMINANT(gxxh,gxyh,gxzh,\
gyyh,gyzh,gzzh)
!!$ If the Riemann problem is trivial, just calculate the fluxes from the
!!$ left state and skip to the next cell
if (SpaceMask_CheckStateBitsF90(space_mask, i, j, k, type_bits, trivial)) then
if (flux_direction == 1) then
call num_x_flux(consp(1),consp(2),consp(3),consp(4),consp(5),&
f1(1),f1(2),f1(3),&
f1(4),f1(5),&
velxplus(i,j,k),pressplus(i,j,k),&
avg_det,avg_alp,avg_beta)
else if (flux_direction == 2) then
call num_x_flux(consp(1),consp(3),consp(4),consp(2),consp(5),&
f1(1),f1(3),f1(4),&
f1(2),f1(5),&
velyplus(i,j,k),pressplus(i,j,k),&
avg_det,avg_alp,avg_beta)
else if (flux_direction == 3) then
call num_x_flux(consp(1),consp(4),consp(2),consp(3),consp(5),&
f1(1),f1(4),f1(2),&
f1(3),f1(5),&
velzplus(i,j,k),pressplus(i,j,k),&
avg_det,avg_alp,avg_beta)
else
call CCTK_ERROR("Flux direction not x,y,z")
end if
else !!! The end of this branch is right at the bottom of the routine
call UpperMetric(uxxh, uxyh, uxzh, uyyh, uyzh, uzzh, &
avg_det,gxxh, gxyh, gxzh, &
gyyh, gyzh, gzzh)
if (flux_direction == 1) then
usendh = uxxh
else if (flux_direction == 2) then
usendh = uyyh
else if (flux_direction == 3) then
usendh = uzzh
else
call CCTK_ERROR("Flux direction not x,y,z")
end if
!!$ Calculate the jumps in the conserved variables
qdiff(1) = consm_i(1) - consp(1)
qdiff(2) = consm_i(2) - consp(2)
qdiff(3) = consm_i(3) - consp(3)
qdiff(4) = consm_i(4) - consp(4)
qdiff(5) = consm_i(5) - consp(5)
!!$ Eigenvalues and fluxes either side of the cell interface
if (flux_direction == 1) then
if(evolve_temper.ne.1) then
call eigenvalues(GRHydro_eos_handle,&
rhominus(i+xoffset,j+yoffset,k+zoffset),&
velxminus(i+xoffset,j+yoffset,k+zoffset),&
velyminus(i+xoffset,j+yoffset,k+zoffset),&
velzminus(i+xoffset,j+yoffset,k+zoffset),&
epsminus(i+xoffset,j+yoffset,k+zoffset),&
w_lorentzminus(i+xoffset,j+yoffset,k+zoffset),&
lamminus,gxxh,gxyh,gxzh,gyyh,&
gyzh,gzzh,&
usendh,avg_alp,avg_beta)
call eigenvalues(GRHydro_eos_handle,rhoplus(i,j,k),&
velxplus(i,j,k),velyplus(i,j,k),&
velzplus(i,j,k),epsplus(i,j,k),w_lorentzplus(i,j,k),&
lamplus,gxxh,gxyh,gxzh,gyyh,&
gyzh,gzzh,&
usendh,avg_alp,avg_beta)
else
call eigenvalues_hot(GRHydro_eos_handle,keytemp,&
i,j,k,&
rhominus(i+xoffset,j+yoffset,k+zoffset),&
velxminus(i+xoffset,j+yoffset,k+zoffset),&
velyminus(i+xoffset,j+yoffset,k+zoffset),&
velzminus(i+xoffset,j+yoffset,k+zoffset),&
epsminus(i+xoffset,j+yoffset,k+zoffset),&
tempminus(i+xoffset,j+yoffset,k+zoffset),&
y_e_minus(i+xoffset,j+yoffset,k+zoffset),&
w_lorentzminus(i+xoffset,j+yoffset,k+zoffset),&
lamminus,gxxh,gxyh,gxzh,gyyh,&
gyzh,gzzh,&
usendh,avg_alp,avg_beta)
call eigenvalues_hot(GRHydro_eos_handle,keytemp,&
i,j,k,&
rhoplus(i,j,k),&
velxplus(i,j,k),velyplus(i,j,k),&
velzplus(i,j,k),epsplus(i,j,k), &
tempplus(i,j,k),&
y_e_plus(i,j,k),&
w_lorentzplus(i,j,k),&
lamplus,gxxh,gxyh,gxzh,gyyh,&
gyzh,gzzh,&
usendh,avg_alp,avg_beta)
endif
call num_x_flux(consp(1),consp(2),consp(3),consp(4),consp(5),&
fplus(1),fplus(2),fplus(3),fplus(4),&
fplus(5),velxplus(i,j,k),pressplus(i,j,k),&
avg_det,avg_alp,avg_beta)
call num_x_flux(consm_i(1),consm_i(2),consm_i(3),&
consm_i(4),consm_i(5),fminus(1),fminus(2),fminus(3),&
fminus(4), fminus(5),&
velxminus(i+xoffset,j+yoffset,k+zoffset),&
pressminus(i+xoffset,j+yoffset,k+zoffset),&
avg_det,avg_alp,avg_beta)
else if (flux_direction == 2) then
if(evolve_temper.ne.1) then
call eigenvalues(GRHydro_eos_handle,&
rhominus(i+xoffset,j+yoffset,k+zoffset),&
velyminus(i+xoffset,j+yoffset,k+zoffset),&
velzminus(i+xoffset,j+yoffset,k+zoffset),&
velxminus(i+xoffset,j+yoffset,k+zoffset),&
epsminus(i+xoffset,j+yoffset,k+zoffset),&
w_lorentzminus(i+xoffset,j+yoffset,k+zoffset),&
lamminus,gyyh,gyzh,gxyh,gzzh,&
gxzh,gxxh,&
usendh,avg_alp,avg_beta)
call eigenvalues(GRHydro_eos_handle,rhoplus(i,j,k),&
velyplus(i,j,k),velzplus(i,j,k),&
velxplus(i,j,k),epsplus(i,j,k),w_lorentzplus(i,j,k),&
lamplus,gyyh,gyzh,gxyh,gzzh,&
gxzh,gxxh,&
usendh,avg_alp,avg_beta)
else
call eigenvalues_hot(GRHydro_eos_handle,keytemp,i,j,k,&
rhominus(i+xoffset,j+yoffset,k+zoffset),&
velyminus(i+xoffset,j+yoffset,k+zoffset),&
velzminus(i+xoffset,j+yoffset,k+zoffset),&
velxminus(i+xoffset,j+yoffset,k+zoffset),&
epsminus(i+xoffset,j+yoffset,k+zoffset),&
tempminus(i+xoffset,j+yoffset,k+zoffset),&
y_e_minus(i+xoffset,j+yoffset,k+zoffset),&
w_lorentzminus(i+xoffset,j+yoffset,k+zoffset),&
lamminus,gyyh,gyzh,gxyh,gzzh,&
gxzh,gxxh,&
usendh,avg_alp,avg_beta)
call eigenvalues_hot(GRHydro_eos_handle,keytemp,i,j,k,&
rhoplus(i,j,k),&
velyplus(i,j,k),velzplus(i,j,k),&
velxplus(i,j,k),epsplus(i,j,k),&
tempplus(i,j,k),y_e_plus(i,j,k),&
w_lorentzplus(i,j,k),&
lamplus,gyyh,gyzh,gxyh,gzzh,&
gxzh,gxxh,&
usendh,avg_alp,avg_beta)
endif
call num_x_flux(consp(1),consp(3),consp(4),consp(2),consp(5),&
fplus(1),fplus(3),fplus(4),fplus(2),&
fplus(5),velyplus(i,j,k),pressplus(i,j,k),&
avg_det,avg_alp,avg_beta)
call num_x_flux(consm_i(1),consm_i(3),consm_i(4),&
consm_i(2),consm_i(5),fminus(1),fminus(3),fminus(4),&
fminus(2), fminus(5),&
velyminus(i+xoffset,j+yoffset,k+zoffset),&
pressminus(i+xoffset,j+yoffset,k+zoffset),&
avg_det,avg_alp,avg_beta)
else if (flux_direction == 3) then
if(evolve_temper.ne.1) then
call eigenvalues(GRHydro_eos_handle,&
rhominus(i+xoffset,j+yoffset,k+zoffset),&
velzminus(i+xoffset,j+yoffset,k+zoffset),&
velxminus(i+xoffset,j+yoffset,k+zoffset),&
velyminus(i+xoffset,j+yoffset,k+zoffset),&
epsminus(i+xoffset,j+yoffset,k+zoffset),&
w_lorentzminus(i+xoffset,j+yoffset,k+zoffset),&
lamminus,gzzh,gxzh,gyzh,&
gxxh,gxyh,gyyh,&
usendh,avg_alp,avg_beta)
call eigenvalues(GRHydro_eos_handle,rhoplus(i,j,k),&
velzplus(i,j,k),velxplus(i,j,k),&
velyplus(i,j,k),epsplus(i,j,k),w_lorentzplus(i,j,k),&
lamplus,gzzh,gxzh,gyzh,&
gxxh,gxyh,gyyh,&
usendh,avg_alp,avg_beta)
else
call eigenvalues_hot(GRHydro_eos_handle,keytemp,i,j,k,&
rhominus(i+xoffset,j+yoffset,k+zoffset),&
velzminus(i+xoffset,j+yoffset,k+zoffset),&
velxminus(i+xoffset,j+yoffset,k+zoffset),&
velyminus(i+xoffset,j+yoffset,k+zoffset),&
epsminus(i+xoffset,j+yoffset,k+zoffset),&
tempminus(i+xoffset,j+yoffset,k+zoffset),&
y_e_minus(i+xoffset,j+yoffset,k+zoffset),&
w_lorentzminus(i+xoffset,j+yoffset,k+zoffset),&
lamminus,gzzh,gxzh,gyzh,&
gxxh,gxyh,gyyh,&
usendh,avg_alp,avg_beta)
call eigenvalues_hot(GRHydro_eos_handle,keytemp,&
i,j,k,&
rhoplus(i,j,k),&
velzplus(i,j,k),velxplus(i,j,k),&
velyplus(i,j,k),epsplus(i,j,k),&
tempplus(i,j,k),y_e_plus(i,j,k),&
w_lorentzplus(i,j,k),&
lamplus,gzzh,gxzh,gyzh,&
gxxh,gxyh,gyyh,&
usendh,avg_alp,avg_beta)
endif
call num_x_flux(consp(1),consp(4),consp(2),consp(3),consp(5),&
fplus(1),fplus(4),fplus(2),fplus(3),&
fplus(5),velzplus(i,j,k),pressplus(i,j,k),avg_det,&
avg_alp,avg_beta)
call num_x_flux(consm_i(1),consm_i(4),consm_i(2),&
consm_i(3),consm_i(5),fminus(1),fminus(4),fminus(2),&
fminus(3), fminus(5),&
velzminus(i+xoffset,j+yoffset,k+zoffset),&
pressminus(i+xoffset,j+yoffset,k+zoffset),&
avg_det,avg_alp,avg_beta)
else
call CCTK_ERROR("Flux direction not x,y,z")
end if
!!$ Compute H viscosity if requested
if (apply_H_viscosity .ne. 0) then
if (flux_direction == 1) then
etabar = max(etaX(i,j,k, vup, eos_c),&
etaY(i,j,k, vup, eos_c),&
etaY(i+1,j,k, vup, eos_c),&
etaY(i,j-1,k, vup, eos_c),&
etaY(i+1,j-1,k, vup, eos_c),&
etaZ(i,j,k, vup, eos_c),&
etaZ(i+1,j,k, vup, eos_c),&
etaZ(i,j,k-1, vup, eos_c),&
etaZ(i+1,j,k-1, vup, eos_c))
else if (flux_direction == 2) then
etabar = max(etaY(i,j,k, vup, eos_c),&
etaX(i,j,k, vup, eos_c),&
etaX(i,j+1,k, vup, eos_c),&
etaX(i-1,j,k, vup, eos_c),&
etaX(i-1,j+1,k, vup, eos_c),&
etaZ(i,j,k, vup, eos_c),&
etaZ(i,j+1,k, vup, eos_c),&
etaZ(i,j,k-1, vup, eos_c),&
etaZ(i,j+1,k-1, vup, eos_c))
else if (flux_direction == 3) then
etabar = max(etaZ(i,j,k, vup, eos_c),&
etaX(i,j,k, vup, eos_c),&
etaX(i,j,k+1, vup, eos_c),&
etaX(i-1,j,k, vup, eos_c),&
etaX(i-1,j,k+1, vup, eos_c),&
etaY(i,j,k, vup, eos_c),&
etaY(i,j,k+1, vup, eos_c),&
etaY(i,j-1,k, vup, eos_c),&
etaY(i,j-1,k+1, vup, eos_c))
else
call CCTK_ERROR("Flux direction not x,y,z")
end if
! modify eigenvalues of Roe's matrix by computed H viscosity
do m = 1,5
lamplus(m) = sign(one, lamplus(m))*max(abs(lamplus(m)), etabar)
lamminus(m) = sign(one, lamminus(m))*max(abs(lamminus(m)), etabar)
end do
endif
!!$ Find minimum and maximum wavespeeds
charmin = min(0.d0, lamplus(1), lamplus(2), lamplus(3), &
lamplus(4),lamplus(5), lamminus(1),lamminus(2),lamminus(3),&
lamminus(4),lamminus(5))
charmax = max(0.d0, lamplus(1), lamplus(2), lamplus(3), &
lamplus(4),lamplus(5), lamminus(1),lamminus(2),lamminus(3),&
lamminus(4),lamminus(5))
charpm = charmax - charmin
!!$ Calculate flux by standard formula
do m = 1,5
qdiff(m) = consm_i(m) - consp(m)
f1(m) = (charmax * fplus(m) - charmin * fminus(m) + &
charmax * charmin * qdiff(m)) / charpm
end do
end if !!! The end of the SpaceMask check for a trivial RP.
densflux(i, j, k) = f1(1)
sxflux(i, j, k) = f1(2)
syflux(i, j, k) = f1(3)
szflux(i, j, k) = f1(4)
tauflux(i, j, k) = f1(5)
if(evolve_Y_e.ne.0) then
if (densflux(i, j, k) > 0.d0) then
Y_e_con_flux(i, j, k) = &
Y_e_plus(i, j, k) * &
densflux(i, j, k)
else
Y_e_con_flux(i, j, k) = &
Y_e_minus(i + xoffset, j + yoffset, k + zoffset) * &
densflux(i, j, k)
endif
endif
end do
end do
end do
!$OMP END PARALLEL DO
end subroutine GRHydro_HLLE
/*@@
@routine GRHydro_HLLE_Tracer
@date Mon Mar 8 13:47:13 2004
@author Ian Hawke
@desc
HLLE just for the tracer.
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
subroutine GRHydro_HLLE_Tracer(CCTK_ARGUMENTS)
USE GRHydro_Eigenproblem
implicit none
! save memory when MP is not used
! TARGET as to be before DECLARE_CCTK_ARGUMENTS for gcc 4.1
TARGET gaa, gab, gac, gbb, gbc, gcc
TARGET gxx, gxy, gxz, gyy, gyz, gzz
TARGET betaa, betab, betac
TARGET betax, betay, betaz
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
integer :: i, j, k, m
CCTK_REAL, dimension(number_of_tracers) :: consp,consm_i,fplus,fminus,f1
CCTK_REAL, dimension(5) :: lamminus,lamplus
CCTK_REAL, dimension(number_of_tracers) :: qdiff
CCTK_REAL :: charmin, charmax, charpm,avg_alp,avg_det
CCTK_REAL :: gxxh, gxyh, gxzh, gyyh, gyzh, gzzh, uxxh, uxyh, &
uxzh, uyyh, uyzh, uzzh, avg_beta, usendh
CCTK_INT :: type_bits, trivial
! save memory when MP is not used
CCTK_INT :: GRHydro_UseGeneralCoordinates
CCTK_REAL, DIMENSION(:,:,:), POINTER :: g11, g12, g13, g22, g23, g33
CCTK_REAL, DIMENSION(:,:,:), POINTER :: beta1, beta2, beta3
if (GRHydro_UseGeneralCoordinates(cctkGH).ne.0) then
g11 => gaa
g12 => gab
g13 => gac
g22 => gbb
g23 => gbc
g33 => gcc
beta1 => betaa
beta2 => betab
beta3 => betac
else
g11 => gxx
g12 => gxy
g13 => gxz
g22 => gyy
g23 => gyz
g33 => gzz
beta1 => betax
beta2 => betay
beta3 => betaz
end if
if (flux_direction == 1) then
call SpaceMask_GetTypeBits(type_bits, "Hydro_RiemannProblemX")
call SpaceMask_GetStateBits(trivial, "Hydro_RiemannProblemX", &
&"trivial")
else if (flux_direction == 2) then
call SpaceMask_GetTypeBits(type_bits, "Hydro_RiemannProblemY")
call SpaceMask_GetStateBits(trivial, "Hydro_RiemannProblemY", &
&"trivial")
else if (flux_direction == 3) then
call SpaceMask_GetTypeBits(type_bits, "Hydro_RiemannProblemZ")
call SpaceMask_GetStateBits(trivial, "Hydro_RiemannProblemZ", &
&"trivial")
else
call CCTK_ERROR("Flux direction not x,y,z")
end if
do k = GRHydro_stencil, cctk_lsh(3) - GRHydro_stencil
do j = GRHydro_stencil, cctk_lsh(2) - GRHydro_stencil
do i = GRHydro_stencil, cctk_lsh(1) - GRHydro_stencil
f1 = 0.d0
lamminus = 0.d0
lamplus = 0.d0
consp = 0.d0
consm_i = 0.d0
fplus = 0.d0
fminus = 0.d0
qdiff = 0.d0
!!$ Set the left (p for plus) and right (m_i for minus, i+1) states
do m=1,number_of_tracers
consp(m) = cons_tracerplus(i,j,k,m)
consm_i(m) = cons_tracerminus(i+xoffset,j+yoffset,k+zoffset,m)
enddo
!!$ Calculate various metric terms here.
!!$ Note also need the average of the lapse at the
!!$ left and right points.
if (flux_direction == 1) then
avg_beta = 0.5d0 * (beta1(i+xoffset,j+yoffset,k+zoffset) + &
beta1(i,j,k))
else if (flux_direction == 2) then
avg_beta = 0.5d0 * (beta2(i+xoffset,j+yoffset,k+zoffset) + &
beta2(i,j,k))
else if (flux_direction == 3) then
avg_beta = 0.5d0 * (beta3(i+xoffset,j+yoffset,k+zoffset) + &
beta3(i,j,k))
else
call CCTK_ERROR("Flux direction not x,y,z")
end if
avg_alp = 0.5 * (alp(i,j,k) + alp(i+xoffset,j+yoffset,k+zoffset))
gxxh = 0.5d0 * (g11(i+xoffset,j+yoffset,k+zoffset) + g11(i,j,k))
gxyh = 0.5d0 * (g12(i+xoffset,j+yoffset,k+zoffset) + g12(i,j,k))
gxzh = 0.5d0 * (g13(i+xoffset,j+yoffset,k+zoffset) + g13(i,j,k))
gyyh = 0.5d0 * (g22(i+xoffset,j+yoffset,k+zoffset) + g22(i,j,k))
gyzh = 0.5d0 * (g23(i+xoffset,j+yoffset,k+zoffset) + g23(i,j,k))
gzzh = 0.5d0 * (g33(i+xoffset,j+yoffset,k+zoffset) + g33(i,j,k))
avg_det = SPATIAL_DETERMINANT(gxxh,gxyh,gxzh,\
gyyh,gyzh,gzzh)
call UpperMetric(uxxh, uxyh, uxzh, uyyh, uyzh, uzzh, &
avg_det,gxxh, gxyh, gxzh, &
gyyh, gyzh, gzzh)
if (flux_direction == 1) then
usendh = uxxh
else if (flux_direction == 2) then
usendh = uyyh
else if (flux_direction == 3) then
usendh = uzzh
else
call CCTK_ERROR("Flux direction not x,y,z")
end if
!!$ Calculate the jumps in the conserved variables
qdiff = consm_i - consp
!!$ Eigenvalues and fluxes either side of the cell interface
if (flux_direction == 1) then
call eigenvalues(GRHydro_eos_handle,&
rhominus(i+xoffset,j+yoffset,k+zoffset),&
velxminus(i+xoffset,j+yoffset,k+zoffset),&
velyminus(i+xoffset,j+yoffset,k+zoffset),&
velzminus(i+xoffset,j+yoffset,k+zoffset),&
epsminus(i+xoffset,j+yoffset,k+zoffset),&
w_lorentzminus(i+xoffset,j+yoffset,k+zoffset),&
lamminus,gxxh,gxyh,gxzh,gyyh,&
gyzh,gzzh,&
usendh,avg_alp,avg_beta)
call eigenvalues(GRHydro_eos_handle,rhoplus(i,j,k),&
velxplus(i,j,k),velyplus(i,j,k),&
velzplus(i,j,k),epsplus(i,j,k),w_lorentzplus(i,j,k),&
lamplus,gxxh,gxyh,gxzh,gyyh,&
gyzh,gzzh,&
usendh,avg_alp,avg_beta)
fplus(:) = (velxplus(i,j,k) - avg_beta / avg_alp) * &
cons_tracerplus(i,j,k,:)
fminus(:) = (velxminus(i+xoffset,j+yoffset,k+zoffset) - avg_beta / avg_alp) * &
cons_tracerminus(i+xoffset,j+yoffset,k+zoffset,:)
else if (flux_direction == 2) then
call eigenvalues(GRHydro_eos_handle,&
rhominus(i+xoffset,j+yoffset,k+zoffset),&
velyminus(i+xoffset,j+yoffset,k+zoffset),&
velzminus(i+xoffset,j+yoffset,k+zoffset),&
velxminus(i+xoffset,j+yoffset,k+zoffset),&
epsminus(i+xoffset,j+yoffset,k+zoffset),&
w_lorentzminus(i+xoffset,j+yoffset,k+zoffset),&
lamminus,gyyh,gyzh,gxyh,gzzh,&
gxzh,gxxh,&
usendh,avg_alp,avg_beta)
call eigenvalues(GRHydro_eos_handle,rhoplus(i,j,k),&
velyplus(i,j,k),velzplus(i,j,k),&
velxplus(i,j,k),epsplus(i,j,k),w_lorentzplus(i,j,k),&
lamplus,gyyh,gyzh,gxyh,gzzh,&
gxzh,gxxh,&
usendh,avg_alp,avg_beta)
fplus(:) = (velyplus(i,j,k) - avg_beta / avg_alp) * &
cons_tracerplus(i,j,k,:)
fminus(:) = (velyminus(i+xoffset,j+yoffset,k+zoffset) - avg_beta / avg_alp) * &
cons_tracerminus(i+xoffset,j+yoffset,k+zoffset,:)
else if (flux_direction == 3) then
call eigenvalues(GRHydro_eos_handle,&
rhominus(i+xoffset,j+yoffset,k+zoffset),&
velzminus(i+xoffset,j+yoffset,k+zoffset),&
velxminus(i+xoffset,j+yoffset,k+zoffset),&
velyminus(i+xoffset,j+yoffset,k+zoffset),&
epsminus(i+xoffset,j+yoffset,k+zoffset),&
w_lorentzminus(i+xoffset,j+yoffset,k+zoffset),&
lamminus,gzzh,gxzh,gyzh,&
gxxh,gxyh,gyyh,&
usendh,avg_alp,avg_beta)
call eigenvalues(GRHydro_eos_handle,rhoplus(i,j,k),&
velzplus(i,j,k),velxplus(i,j,k),&
velyplus(i,j,k),epsplus(i,j,k),w_lorentzplus(i,j,k),&
lamplus,gzzh,gxzh,gyzh,&
gxxh,gxyh,gyyh,&
usendh,avg_alp,avg_beta)
fplus(:) = (velzplus(i,j,k) - avg_beta / avg_alp) * &
cons_tracerplus(i,j,k,:)
fminus(:) = (velzminus(i+xoffset,j+yoffset,k+zoffset) - avg_beta / avg_alp) * &
cons_tracerminus(i+xoffset,j+yoffset,k+zoffset,:)
else
call CCTK_ERROR("Flux direction not x,y,z")
end if
!!$ Find minimum and maximum wavespeeds
charmin = min(0.d0, lamplus(1), lamplus(2), lamplus(3), &
lamplus(4),lamplus(5), lamminus(1),lamminus(2),lamminus(3),&
lamminus(4),lamminus(5))
charmax = max(0.d0, lamplus(1), lamplus(2), lamplus(3), &
lamplus(4),lamplus(5), lamminus(1),lamminus(2),lamminus(3),&
lamminus(4),lamminus(5))
charpm = charmax - charmin
!!$ Calculate flux by standard formula
do m = 1,number_of_tracers
qdiff(m) = consm_i(m) - consp(m)
f1(m) = (charmax * fplus(m) - charmin * fminus(m) + &
charmax * charmin * qdiff(m)) / charpm
end do
cons_tracerflux(i, j, k,:) = f1(:)
!!$
!!$ if ( ((flux_direction.eq.3).and.(i.eq.4).and.(j.eq.4)).or.&
!!$ ((flux_direction.eq.2).and.(i.eq.4).and.(k.eq.4)).or.&
!!$ ((flux_direction.eq.1).and.(j.eq.4).and.(k.eq.4))&
!!$ ) then
!!$ write(*,*) flux_direction, i, j, k, f1(1), consm_i(1), consp(1)
!!$ end if
end do
end do
end do
end subroutine GRHydro_HLLE_Tracer
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