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|
/*@@
@file GRHydro_RoeSolver.F90
@date Sat Jan 26 01:55:27 2002
@author
@desc
Calculates the Roe flux
@enddesc
@@*/
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Parameters.h"
#include "cctk_Functions.h"
#include "GRHydro_Macros.h"
#include "SpaceMask.h"
/*@@
@routine GRHydro_RoeSolve
@date Sat Jan 26 01:55:55 2002
@author Pedro Montero, Ian Hawke
@desc
Wrapper routine to calculate the Roe fluxes and hence the update
terms.
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
subroutine GRHydro_RoeSolve(CCTK_ARGUMENTS)
USE GRHydro_Eigenproblem
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
CCTK_REAL, dimension(5) :: roeflux,roeave,qdiff,consp,consm_i,&
fplus,fminus,f_roe,primp,primm_i,consh
CCTK_REAL :: avg_alp,avg_beta,gxxh,gxyh,gxzh,gyyh,gyzh,gzzh, &
avg_det,uxxh,uxyh,uxzh,uyyh,uyzh,uzzh,&
rhoave, velxave, velyave, velzave, pressave, epsave, &
w_lorentzave, usendh, alp_l, alp_r, psi4h
integer :: m
integer :: i,j,k
CCTK_INT :: type_bits, trivial, not_trivial
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_WARN(0, "Flux direction not x,y,z")
end if
f_roe = 0.d0
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
!!$ 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)
primp(1) = rhoplus(i,j,k)
primp(2) = velxplus(i,j,k)
primp(3) = velyplus(i,j,k)
primp(4) = velzplus(i,j,k)
primp(5) = epsplus(i,j,k)
primm_i(1) = rhominus(i+xoffset,j+yoffset,k+zoffset)
primm_i(2) = velxminus(i+xoffset,j+yoffset,k+zoffset)
primm_i(3) = velyminus(i+xoffset,j+yoffset,k+zoffset)
primm_i(4) = velzminus(i+xoffset,j+yoffset,k+zoffset)
primm_i(5) = epsminus(i+xoffset,j+yoffset,k+zoffset)
roeflux = 0.d0
qdiff = 0.d0
!!$ Calculate jumps in conserved variables
do m = 1,5
qdiff(m) = consm_i(m) - consp(m)
end do
!!$ Set metric terms at interface
if (shift_state .ne. 0) then
if (flux_direction == 1) then
avg_beta = 0.5d0 * (betax(i+xoffset,j+yoffset,k+zoffset) + &
betax(i,j,k))
else if (flux_direction == 2) then
avg_beta = 0.5d0 * (betay(i+xoffset,j+yoffset,k+zoffset) + &
betay(i,j,k))
else if (flux_direction == 3) then
avg_beta = 0.5d0 * (betaz(i+xoffset,j+yoffset,k+zoffset) + &
betaz(i,j,k))
else
call CCTK_WARN(0, "Flux direction not x,y,z")
end if
else
avg_beta = 0.d0
end if
avg_alp = 0.5 * (alp(i,j,k) + alp(i+xoffset,j+yoffset,k+zoffset))
gxxh = 0.5d0 * (gxx(i+xoffset,j+yoffset,k+zoffset) + &
gxx(i,j,k))
gxyh = 0.5d0 * (gxy(i+xoffset,j+yoffset,k+zoffset) + &
gxy(i,j,k))
gxzh = 0.5d0 * (gxz(i+xoffset,j+yoffset,k+zoffset) + &
gxz(i,j,k))
gyyh = 0.5d0 * (gyy(i+xoffset,j+yoffset,k+zoffset) + &
gyy(i,j,k))
gyzh = 0.5d0 * (gyz(i+xoffset,j+yoffset,k+zoffset) + &
gyz(i,j,k))
gzzh = 0.5d0 * (gzz(i+xoffset,j+yoffset,k+zoffset) + &
gzz(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),&
f_roe(1),f_roe(2),f_roe(3),&
f_roe(4),f_roe(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),&
f_roe(1),f_roe(3),f_roe(4),&
f_roe(2),f_roe(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),&
f_roe(1),f_roe(4),f_roe(2),&
f_roe(3),f_roe(5),&
velzplus(i,j,k),pressplus(i,j,k),&
avg_det,avg_alp,avg_beta)
else
call CCTK_WARN(0, "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_WARN(0, "Flux direction not x,y,z")
end if
!!$ Set the Roe average of the fluid variables
call roeaverage(primp, primm_i, roeave)
rhoave = roeave(1)
velxave = roeave(2)
velyave = roeave(3)
velzave = roeave(4)
epsave = roeave(5)
!!$ Convert to conserved variables and find the part of the Roe
!!$ flux that requires the spectral decomposition.
!!$ The conversion to conserved variables is just to set the
!!$ pressure at this point (means this routine doesn''t need
!!$ the EOS interface).
!!$ The conversion routine is unnecessary (the pressure is set
!!$ inside the eigenproblem routine) so instead we just have
!!$ to set the average W.
w_lorentzave = 1.d0 / &
sqrt(1.d0 - &
(gxxh*velxave*velxave + gyyh*velyave*velyave + &
gzzh*velzave*velzave + 2*gxyh*velxave*velyave + &
2*gxzh*velxave *velzave + 2*gyzh*velyave*velzave))
if (flux_direction == 1) then
!!$ call prim2con(GRHydro_eos_handle,gxxh, gxyh, gxzh, gyyh, &
!!$ gyzh, gzzh, avg_det, &
!!$ consh(1), consh(2), consh(3), consh(4), consh(5), rhoave, &
!!$ velxave, velyave, velzave, epsave, pressave, w_lorentzave)
call eigenproblem(GRHydro_eos_handle,rhoave, velxave, &
velyave, velzave, epsave, w_lorentzave, &
gxxh,gxyh,gxzh,gyyh,gyzh,gzzh, &
usendh, avg_alp,avg_beta,qdiff(1),qdiff(2), &
qdiff(3),qdiff(4),qdiff(5),roeflux(1),roeflux(2),&
roeflux(3),roeflux(4),roeflux(5))
else if (flux_direction == 2) then
!!$ call prim2con(GRHydro_eos_handle,gyyh, gyzh, gxyh, gzzh, &
!!$ gxzh, gxxh, avg_det, &
!!$ consh(1), consh(3), consh(4), consh(2), consh(5), rhoave, &
!!$ velyave, velzave, velxave, epsave, pressave, w_lorentzave)
call eigenproblem(GRHydro_eos_handle,rhoave, velyave, &
velzave, velxave, epsave, w_lorentzave, &
gyyh,gyzh,gxyh,gzzh,gxzh,gxxh, &
usendh, avg_alp,avg_beta,qdiff(1),qdiff(3), &
qdiff(4),qdiff(2),qdiff(5),roeflux(1),roeflux(3),&
roeflux(4),roeflux(2),roeflux(5))
else if (flux_direction == 3) then
!!$ call prim2con(GRHydro_eos_handle,gzzh, gxzh, gyzh, gxxh, &
!!$ gxyh, gyyh, avg_det, &
!!$ consh(1), consh(4), consh(2), consh(3), consh(5), rhoave, &
!!$ velzave, velxave, velyave, epsave, pressave, w_lorentzave)
call eigenproblem(GRHydro_eos_handle,rhoave, velzave, &
velxave, velyave, epsave, w_lorentzave, &
gzzh,gxzh,gyzh,gxxh,gxyh,gyyh, &
usendh, avg_alp,avg_beta,qdiff(1),qdiff(4), &
qdiff(2),qdiff(3),qdiff(5),roeflux(1),roeflux(4),&
roeflux(2),roeflux(3),roeflux(5))
else
call CCTK_WARN(0, "Flux direction not x,y,z")
end if
fplus = 0.d0
fminus = 0.d0
!!$Calculate the fluxes of the original reconstructed data
if (flux_direction == 1) then
call num_x_flux(consp(1),consp(2),consp(3),consp(4),consp(5), &
fplus(1),fplus(2),fplus(3),fplus(4), &
fplus(5),velxplus(i,j,k),pressplus(i,j,k), &
avg_det,avg_alp,avg_beta)
call num_x_flux(consm_i(1),consm_i(2),consm_i(3), &
consm_i(4),consm_i(5),fminus(1),fminus(2),fminus(3), &
fminus(4), fminus(5), &
velxminus(i+xoffset,j+yoffset,k+zoffset), &
pressminus(i+xoffset,j+yoffset,k+zoffset), &
avg_det,avg_alp,avg_beta)
else if (flux_direction == 2) then
call num_x_flux(consp(1),consp(3),consp(4),consp(2),consp(5), &
fplus(1),fplus(3),fplus(4),fplus(2), &
fplus(5),velyplus(i,j,k),pressplus(i,j,k), &
avg_det,avg_alp,avg_beta)
call num_x_flux(consm_i(1),consm_i(3),consm_i(4), &
consm_i(2),consm_i(5),fminus(1),fminus(3),fminus(4), &
fminus(2), fminus(5), &
velyminus(i+xoffset,j+yoffset,k+zoffset), &
pressminus(i+xoffset,j+yoffset,k+zoffset), &
avg_det,avg_alp,avg_beta)
else if (flux_direction == 3) then
call num_x_flux(consp(1),consp(4),consp(2),consp(3),consp(5), &
fplus(1),fplus(4),fplus(2),fplus(3), &
fplus(5),velzplus(i,j,k),pressplus(i,j,k),avg_det, &
avg_alp,avg_beta)
call num_x_flux(consm_i(1),consm_i(4),consm_i(2), &
consm_i(3),consm_i(5),fminus(1),fminus(4),fminus(2), &
fminus(3), fminus(5), &
velzminus(i+xoffset,j+yoffset,k+zoffset), &
pressminus(i+xoffset,j+yoffset,k+zoffset), &
avg_det,avg_alp,avg_beta)
else
call CCTK_WARN(0, "Flux direction not x,y,z")
end if
!!$The combined Roe flux
do m = 1,5
f_roe(m) = 0.5d0 * (fplus(m) + fminus(m) - roeflux(m))
end do
end if !!! The end of the SpaceMask check for a trivial RP.
densflux(i,j,k) = f_roe(1)
sxflux(i,j,k) = f_roe(2)
syflux(i,j,k) = f_roe(3)
szflux(i,j,k) = f_roe(4)
tauflux(i,j,k) = f_roe(5)
enddo
enddo
enddo
end subroutine GRHydro_RoeSolve
/*@@
@routine GRHydro_RoeSolveGeneral
@date Sat Jan 26 01:55:55 2002
@author Pedro Montero, Ian Hawke
@desc
Wrapper routine to calculate the Roe fluxes and hence the update
terms.
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
subroutine GRHydro_RoeSolveGeneral(CCTK_ARGUMENTS)
USE GRHydro_Scalars
use GRHydro_Eigenproblem
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_FUNCTIONS
CCTK_REAL, dimension(5) :: roeflux,roeave,qdiff,cons_p,cons_m,&
cons_ave
CCTK_REAL, dimension(6) :: prim_p, prim_m, prim_ave
CCTK_REAL :: avg_alp,avg_beta,gxxh,gxyh,gxzh,gyyh,gyzh,gzzh, &
avg_det,uxxh,uxyh,uxzh,uyyh,uyzh,uzzh,&
usendh,alp_l,alp_r,psi4h,cs2_ave,dpdeps_ave
CCTK_INT :: i,j,k,m
CCTK_INT :: type_bits, trivial, not_trivial, ierr
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_WARN(0, "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
!!$ Set the left (p for plus) and right (m_i for minus, i+1) states
cons_p(1) = densplus(i,j,k)
cons_p(2) = sxplus(i,j,k)
cons_p(3) = syplus(i,j,k)
cons_p(4) = szplus(i,j,k)
cons_p(5) = tauplus(i,j,k)
cons_m(1) = densminus(i+xoffset,j+yoffset,k+zoffset)
cons_m(2) = sxminus(i+xoffset,j+yoffset,k+zoffset)
cons_m(3) = syminus(i+xoffset,j+yoffset,k+zoffset)
cons_m(4) = szminus(i+xoffset,j+yoffset,k+zoffset)
cons_m(5) = tauminus(i+xoffset,j+yoffset,k+zoffset)
prim_p(1) = rhoplus(i,j,k)
prim_p(2) = velxplus(i,j,k)
prim_p(3) = velyplus(i,j,k)
prim_p(4) = velzplus(i,j,k)
prim_p(5) = epsplus(i,j,k)
prim_m(1) = rhominus(i+xoffset,j+yoffset,k+zoffset)
prim_m(2) = velxminus(i+xoffset,j+yoffset,k+zoffset)
prim_m(3) = velyminus(i+xoffset,j+yoffset,k+zoffset)
prim_m(4) = velzminus(i+xoffset,j+yoffset,k+zoffset)
prim_m(5) = epsminus(i+xoffset,j+yoffset,k+zoffset)
prim_p(6) = pressplus(i,j,k)
prim_m(6) = pressminus(i+xoffset,j+yoffset,k+zoffset)
!!$ Set the Roe average of the fluid variables
call roeaverage(prim_p(1:5), prim_m(1:5), roeave)
rho_ave(i,j,k) = roeave(1)
velx_ave(i,j,k) = roeave(2)
vely_ave(i,j,k) = roeave(3)
velz_ave(i,j,k) = roeave(4)
eps_ave(i,j,k) = roeave(5)
end do
end do
end do
ierr = EOS_SetGFs(cctkGH, EOS_RoeAverageCall)
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
!!$ Set the left (p for plus) and right (m_i for minus, i+1) states
cons_p(1) = densplus(i,j,k)
cons_p(2) = sxplus(i,j,k)
cons_p(3) = syplus(i,j,k)
cons_p(4) = szplus(i,j,k)
cons_p(5) = tauplus(i,j,k)
cons_m(1) = densminus(i+xoffset,j+yoffset,k+zoffset)
cons_m(2) = sxminus(i+xoffset,j+yoffset,k+zoffset)
cons_m(3) = syminus(i+xoffset,j+yoffset,k+zoffset)
cons_m(4) = szminus(i+xoffset,j+yoffset,k+zoffset)
cons_m(5) = tauminus(i+xoffset,j+yoffset,k+zoffset)
prim_ave(1) = rho_ave(i,j,k)
prim_ave(2) = velx_ave(i,j,k)
prim_ave(3) = vely_ave(i,j,k)
prim_ave(4) = velz_ave(i,j,k)
prim_ave(5) = eps_ave(i,j,k)
prim_ave(6) = press_ave(i,j,k)
cs2_ave = eos_cs2_ave(i,j,k)
dpdeps_ave = eos_dpdeps_ave(i,j,k)
roeflux = 0.d0
qdiff = 0.d0
!!$ Calculate jumps in conserved variables
do m = 1,5
qdiff(m) = cons_m(m) - cons_p(m)
end do
!!$ Set metric terms at interface
if (shift_state .ne. 0) then
if (flux_direction == 1) then
avg_beta = 0.5d0 * (betax(i+xoffset,j+yoffset,k+zoffset) + &
betax(i,j,k))
else if (flux_direction == 2) then
avg_beta = 0.5d0 * (betay(i+xoffset,j+yoffset,k+zoffset) + &
betay(i,j,k))
else if (flux_direction == 3) then
avg_beta = 0.5d0 * (betaz(i+xoffset,j+yoffset,k+zoffset) + &
betaz(i,j,k))
else
call CCTK_WARN(0, "Flux direction not x,y,z")
end if
else
avg_beta = 0.d0
end if
avg_alp = 0.5 * (alp(i,j,k) + alp(i+xoffset,j+yoffset,k+zoffset))
gxxh = 0.5d0 * (gxx(i+xoffset,j+yoffset,k+zoffset) + &
gxx(i,j,k))
gxyh = 0.5d0 * (gxy(i+xoffset,j+yoffset,k+zoffset) + &
gxy(i,j,k))
gxzh = 0.5d0 * (gxz(i+xoffset,j+yoffset,k+zoffset) + &
gxz(i,j,k))
gyyh = 0.5d0 * (gyy(i+xoffset,j+yoffset,k+zoffset) + &
gyy(i,j,k))
gyzh = 0.5d0 * (gyz(i+xoffset,j+yoffset,k+zoffset) + &
gyz(i,j,k))
gzzh = 0.5d0 * (gzz(i+xoffset,j+yoffset,k+zoffset) + &
gzz(i,j,k))
avg_det = SPATIAL_DETERMINANT(gxxh,gxyh,gxzh,gyyh,gyzh,gzzh)
!!$ If the Riemann problem is trivial the flux is already correct
if (SpaceMask_CheckStateBitsF90(space_mask, i, j, k, type_bits, trivial)) then
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_WARN(0, "Flux direction not x,y,z")
end if
!!$ Convert to conserved variables and find the part of the Roe
!!$ flux that requires the spectral decomposition.
!!$ The conversion to conserved variables is just to set the
!!$ pressure at this point (means this routine doesn''t need
!!$ the EOS interface).
if (flux_direction == 1) then
call eigenproblem_general(&
prim_ave(1),prim_ave(2),prim_ave(3),prim_ave(4),prim_ave(5), &
prim_ave(6),cs2_ave,dpdeps_ave, &
gxxh,gxyh,gxzh,gyyh,gyzh,gzzh, &
usendh,avg_alp,avg_beta, &
qdiff(1),qdiff(2),qdiff(3),qdiff(4),qdiff(5), &
roeflux(1),roeflux(2),roeflux(3),roeflux(4),roeflux(5))
else if (flux_direction == 2) then
call eigenproblem_general(&
prim_ave(1),prim_ave(3),prim_ave(4),prim_ave(2),prim_ave(5), &
prim_ave(6),cs2_ave,dpdeps_ave, &
gyyh,gyzh,gxyh,gzzh,gxzh,gxxh, &
usendh,avg_alp,avg_beta, &
qdiff(1),qdiff(3),qdiff(4),qdiff(2),qdiff(5), &
roeflux(1),roeflux(3),roeflux(4),roeflux(2),roeflux(5))
else if (flux_direction == 3) then
call eigenproblem_general(&
prim_ave(1),prim_ave(4),prim_ave(2),prim_ave(3),prim_ave(5), &
prim_ave(6),cs2_ave,dpdeps_ave, &
gzzh,gxzh,gyzh,gxxh,gxyh,gyyh, &
usendh,avg_alp,avg_beta, &
qdiff(1),qdiff(4),qdiff(2),qdiff(3),qdiff(5), &
roeflux(1),roeflux(4),roeflux(2),roeflux(3),roeflux(5))
else
call CCTK_WARN(0, "Flux direction not x,y,z")
end if
!!$ Roe flux
densflux(i,j,k) = densflux(i,j,k) - 0.5d0 * roeflux(1)
sxflux(i,j,k) = sxflux(i,j,k) - 0.5d0 * roeflux(2)
syflux(i,j,k) = syflux(i,j,k) - 0.5d0 * roeflux(3)
szflux(i,j,k) = szflux(i,j,k) - 0.5d0 * roeflux(4)
tauflux(i,j,k) = tauflux(i,j,k) - 0.5d0 * roeflux(5)
end if !!! The end of the SpaceMask check for a trivial RP.
enddo
enddo
enddo
end subroutine GRHydro_RoeSolveGeneral
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