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/*@@
@file GRHydro_Marquina.f90
@date Thu Jan 11 11:03:32 2002
@author Pedro Montero, Toni Font
@desc
Routine to obtain the Marquina Fluxes. Note that this is the
MODIFIED Marquina formula as given by Aloy et.al.
(ApJ Supp 122 (1999) p.151) and not the full Marquina flux
of Donat and Marquina.
@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_Marquina.f90
@date Wed Feb 13 11:03:32 2002
@author Pedro Montero, Toni Font
@desc
Routine to obtain the Marquina Fluxes
@enddesc
@calls
@calledby
@history
Based on routines by Toni Font
@endhistory
@@*/
subroutine GRHydro_Marquina(CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
CCTK_REAL, dimension(5) :: marquinaflux, &
consp,consm_i,fplus,fminus,f_marquina,primp,primm_i
CCTK_REAL :: avg_alp,avg_beta,gxxh,gxyh,gxzh,gyyh,gyzh,gzzh, &
avg_det,uxxh,uxyh,uxzh,uyyh,uyzh,uzzh,&
tmp_w_lorentzp, tmp_w_lorentzm_i, w_lorentzp,w_lorentzm_i, usendh, psi4h
integer :: m
integer :: i,j,k
integer :: keytemp
CCTK_INT :: type_bits, trivial
if(evolve_temper.eq.1.and.reconstruct_temper.eq.1) then
keytemp = 1
else
keytemp = 0
endif
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
!Keep this check in here, it is not checked again later
call CCTK_WARN(0, "Flux direction not x,y,z")
end if
f_marquina = 0.d0
!$OMP PARALLEL DO PRIVATE(i,j,k,consp,consm_i,primp,primm_i,&
!$OMP marquinaflux,avg_beta,avg_alp,gxxh,gxyh,gxzh,gyyh,gyzh,gzzh,&
!$OMP psi4h,f_marquina,uxxh,uxyh,uxzh,uyyh,uyzh,uzzh,usendh,&
!$OMP tmp_w_lorentzp, tmp_w_lorentzm_i,w_lorentzp,w_lorentzm_i,&
!$OMP fplus,fminus,m,avg_det)
do k = GRHydro_stencil, cctk_lsh(3) - GRHydro_stencil
do j = GRHydro_stencil, cctk_lsh(2) - GRHydro_stencil
do i = GRHydro_stencil, cctk_lsh(1) - GRHydro_stencil
!!$ 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)
marquinaflux = 0.d0
!!$ Set metric terms at interface
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
avg_beta = 0.5d0 * (betaz(i+xoffset,j+yoffset,k+zoffset) + &
betaz(i,j,k))
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))
!!$ routine to calculate the determinant of the metric
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_marquina(1),f_marquina(2),f_marquina(3),&
f_marquina(4),f_marquina(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_marquina(1),f_marquina(3),f_marquina(4),&
f_marquina(2),f_marquina(5),&
velyplus(i,j,k),pressplus(i,j,k),&
avg_det,avg_alp,avg_beta)
else
call num_x_flux(consp(1),consp(4),consp(2),consp(3),consp(5),&
f_marquina(1),f_marquina(4),f_marquina(2),&
f_marquina(3),f_marquina(5),&
velzplus(i,j,k),pressplus(i,j,k),&
avg_det,avg_alp,avg_beta)
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
usendh = uzzh
end if
!!$left state
tmp_w_lorentzp = gxxh*primp(2)*primp(2) + &
gyyh*primp(3)*primp(3) + gzzh*primp(4)*primp(4) + &
2*gxyh*primp(2)*primp(3) + 2*gxzh*primp(2) *primp(4) + &
2*gyzh*primp(3)*primp(4)
if (tmp_w_lorentzp .ge. 1.d0) then
w_lorentzp = GRHydro_lorentz_overshoot_cutoff
else
w_lorentzp = 1.d0 / sqrt(1.d0 - tmp_w_lorentzp);
endif
!!$right state
tmp_w_lorentzm_i = gxxh*primm_i(2)*primm_i(2) + &
gyyh*primm_i(3)*primm_i(3) + gzzh*primm_i(4)*primm_i(4) + &
2*gxyh*primm_i(2)*primm_i(3) + &
2*gxzh*primm_i(2) *primm_i(4)+ &
2*gyzh*primm_i(3)*primm_i(4)
if (tmp_w_lorentzm_i .ge. 1.d0) then
w_lorentzm_i = GRHydro_lorentz_overshoot_cutoff
else
w_lorentzm_i = 1.d0 / sqrt(1.d0 - tmp_w_lorentzm_i);
endif
!!$eigenvalues and right eigenvectors
if (flux_direction == 1) then
if(evolve_temper.eq.0) then
call eigenproblem_marquina(GRHydro_eos_handle,&
primm_i(1),primm_i(2), &
primm_i(3),primm_i(4),primm_i(5),primp(1), &
primp(2),primp(3),primp(4),primp(5), &
gxxh,gxyh,gxzh,gyyh,gyzh,gzzh, &
usendh,avg_det,avg_alp,avg_beta,consp(1),consp(2),&
consp(3), consp(4), consp(5),consm_i(1),consm_i(2), &
consm_i(3),consm_i(4),consm_i(5),marquinaflux(1), &
marquinaflux(2),marquinaflux(3),marquinaflux(4), &
marquinaflux(5))
else
call eigenproblem_marquina_hot(GRHydro_eos_handle,keytemp,&
primm_i(1),primm_i(2), &
primm_i(3),primm_i(4),primm_i(5),primp(1), &
primp(2),primp(3),primp(4),primp(5), &
tempminus(i+xoffset,j+yoffset,k+zoffset),&
tempplus(i,j,k),&
y_e_minus(i+xoffset,j+yoffset,k+zoffset),y_e_plus(i,j,k),&
gxxh,gxyh,gxzh,gyyh,gyzh,gzzh, &
usendh,avg_det,avg_alp,avg_beta,consp(1),consp(2),&
consp(3), consp(4), consp(5),consm_i(1),consm_i(2), &
consm_i(3),consm_i(4),consm_i(5),marquinaflux(1), &
marquinaflux(2),marquinaflux(3),marquinaflux(4), &
marquinaflux(5))
endif
else if (flux_direction == 2) then
if(evolve_temper.eq.0) then
call eigenproblem_marquina(GRHydro_eos_handle,&
primm_i(1),primm_i(3), &
primm_i(4),primm_i(2),primm_i(5),primp(1), &
primp(3),primp(4),primp(2),primp(5), &
gyyh,gyzh,gxyh,gzzh,gxzh,gxxh, &
usendh,avg_det,avg_alp,avg_beta,consp(1),consp(3),&
consp(4), consp(2), consp(5),consm_i(1),consm_i(3), &
consm_i(4),consm_i(2),consm_i(5),marquinaflux(1), &
marquinaflux(3),marquinaflux(4),marquinaflux(2), &
marquinaflux(5))
else
call eigenproblem_marquina_hot(GRHydro_eos_handle,keytemp,&
primm_i(1),primm_i(3), &
primm_i(4),primm_i(2),primm_i(5),primp(1), &
primp(3),primp(4),primp(2),primp(5), &
tempminus(i+xoffset,j+yoffset,k+zoffset),&
tempplus(i,j,k),&
y_e_minus(i+xoffset,j+yoffset,k+zoffset),y_e_plus(i,j,k),&
gyyh,gyzh,gxyh,gzzh,gxzh,gxxh, &
usendh,avg_det,avg_alp,avg_beta,consp(1),consp(3),&
consp(4), consp(2), consp(5),consm_i(1),consm_i(3), &
consm_i(4),consm_i(2),consm_i(5),marquinaflux(1), &
marquinaflux(3),marquinaflux(4),marquinaflux(2), &
marquinaflux(5))
endif
else
if(evolve_temper.eq.0) then
call eigenproblem_marquina(GRHydro_eos_handle,&
primm_i(1),primm_i(4), &
primm_i(2),primm_i(3),primm_i(5),primp(1), &
primp(4),primp(2),primp(3),primp(5), &
gzzh,gxzh,gyzh,gxxh,gxyh,gyyh, &
usendh,avg_det,avg_alp,avg_beta,consp(1),consp(4),&
consp(2), consp(3), consp(5),consm_i(1),consm_i(4), &
consm_i(2),consm_i(3),consm_i(5),marquinaflux(1), &
marquinaflux(4),marquinaflux(2),marquinaflux(3), &
marquinaflux(5))
else
call eigenproblem_marquina_hot(GRHydro_eos_handle,keytemp,&
primm_i(1),primm_i(4), &
primm_i(2),primm_i(3),primm_i(5),primp(1), &
primp(4),primp(2),primp(3),primp(5), &
tempminus(i+xoffset,j+yoffset,k+zoffset),&
tempplus(i,j,k),&
y_e_minus(i+xoffset,j+yoffset,k+zoffset),y_e_plus(i,j,k),&
gzzh,gxzh,gyzh,gxxh,gxyh,gyyh, &
usendh,avg_det,avg_alp,avg_beta,consp(1),consp(4),&
consp(2), consp(3), consp(5),consm_i(1),consm_i(4), &
consm_i(2),consm_i(3),consm_i(5),marquinaflux(1), &
marquinaflux(4),marquinaflux(2),marquinaflux(3), &
marquinaflux(5))
endif
end if
fplus = 0.d0
fminus = 0.d0
!!$calculate the fluxes
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
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)
end if
!!$ Marquina flux
do m = 1,5
f_marquina(m) = 0.5d0 * (fplus(m) + fminus(m) - marquinaflux(m))
end do
end if !!! The end of the SpaceMask check for a trivial RP.
densflux(i,j,k) = f_marquina(1)
sxflux(i,j,k) = f_marquina(2)
syflux(i,j,k) = f_marquina(3)
szflux(i,j,k) = f_marquina(4)
tauflux(i,j,k) = f_marquina(5)
enddo
enddo
enddo
!$OMP END PARALLEL DO
if (evolve_tracer .ne. 0) then
!$OMP PARALLEL DO PRIVATE(i,j,k)
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
if (densflux(i, j, k) > 0.d0) then
cons_tracerflux(i, j, k,:) = &
tracerplus(i, j, k,:) * &
densflux(i, j, k)
else
cons_tracerflux(i, j, k,:) = &
tracerminus(i + xoffset, j + yoffset, k + zoffset,:) * &
densflux(i, j, k)
end if
end do
end do
end do
!$OMP END PARALLEL DO
end if
if (evolve_Y_e .ne. 0) then
!$OMP PARALLEL DO PRIVATE(i,j,k)
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
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)
end if
end do
end do
end do
!$OMP END PARALLEL DO
end if
return
end subroutine GRHydro_Marquina
|
