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/*@@
@file GRHydro_CalcUpdate.F90
@date Thu Jan 11 11:03:32 2002
@author Ian Hawke
@desc
Calculates the update terms given the fluxes. Moved to here so that
@enddesc
@@*/
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Parameters.h"
#include "cctk_Functions.h"
#include "SpaceMask.h"
/*@@
@routine UpdateCalculation
@date Wed Feb 13 11:03:32 2002
@author Ian Hawke
@desc
Calculates the update terms from the fluxes.
@enddesc
@calls
@calledby
@history
Moved out of the Riemann solver routines to make the FishEye /
weighted flux calculation easier.
@endhistory
@@*/
subroutine UpdateCalculation(CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_FUNCTIONS
CCTK_INT :: i,j,k,itracer
CCTK_REAL :: idx, alp_l, alp_r, Bcons_l, Bcons_r, alp_tmp
idx = 1.d0 / CCTK_DELTA_SPACE(flux_direction)
if (CCTK_EQUALS(method_type, "RSA FV")) then
if (use_weighted_fluxes == 0) then
if(evolve_mhd.ne.0 .and. transport_constraints.ne.0) then
!$OMP PARALLEL DO PRIVATE(i,j,k,alp_l,alp_r,alp_tmp)
do k = GRHydro_stencil + 1 - transport_constraints, cctk_lsh(3) - GRHydro_stencil ! we need to compute Evec on all faces/edges where the fluxes are defined
do j = GRHydro_stencil + 1 - transport_constraints, cctk_lsh(2) - GRHydro_stencil
do i = GRHydro_stencil + 1 - transport_constraints, cctk_lsh(1) - GRHydro_stencil
alp_l = 0.5d0 * (alp(i,j,k) + &
alp(i-xoffset,j-yoffset,k-zoffset))
alp_r = 0.5d0 * (alp(i,j,k) + &
alp(i+xoffset,j+yoffset,k+zoffset))
! we have to first compute all components of v\crossB = E and
! combine them in the last substep into Bconshs
! Evec lives on edges of cell: Evec(i,j,k,1) is at edge i,j+1/2,k+1/2 ie. the lower-front edge of cell (i,j,k)
if(flux_direction.eq.1) then
alp_tmp = 0.5d0 * (alp(i,j,k+1) + alp(i+xoffset,j+yoffset,k+zoffset+1))
Evec(i,j,k,2) = Evec(i,j,k,2) + 0.25d0 * (alp_r*Bconszflux(i,j,k) + alp_tmp*Bconszflux(i ,j ,k+1))
alp_tmp = 0.5d0 * (alp(i,j+1,k) + alp(i+xoffset,j+yoffset+1,k+zoffset))
Evec(i,j,k,3) = Evec(i,j,k,3) - 0.25d0 * (alp_r*Bconsyflux(i,j,k) + alp_tmp*Bconsyflux(i ,j+1,k ))
elseif(flux_direction.eq.2) then
alp_tmp = 0.5d0 * (alp(i,j,k+1) + alp(i+xoffset,j+yoffset,k+zoffset+1))
Evec(i,j,k,1) = Evec(i,j,k,1) - 0.25d0 * (alp_r*Bconszflux(i,j,k) + alp_tmp*Bconszflux(i ,j ,k+1))
alp_tmp = 0.5d0 * (alp(i+1,j,k) + alp(i+xoffset+1,j+yoffset,k+zoffset))
Evec(i,j,k,3) = Evec(i,j,k,3) + 0.25d0 * (alp_r*Bconsxflux(i,j,k) + alp_tmp*Bconsxflux(i+1,j ,k ))
elseif(flux_direction.eq.3) then
alp_tmp = 0.5d0 * (alp(i,j+1,k) + alp(i+xoffset,j+yoffset+1,k+zoffset))
Evec(i,j,k,1) = Evec(i,j,k,1) + 0.25d0 * (alp_r*Bconsyflux(i,j,k) + alp_tmp*Bconsyflux(i ,j+1,k ))
alp_tmp = 0.5d0 * (alp(i+1,j,k) + alp(i+xoffset+1,j+yoffset,k+zoffset))
Evec(i,j,k,2) = Evec(i,j,k,2) - 0.25d0 * (alp_r*Bconsxflux(i,j,k) + alp_tmp*Bconsxflux(i+1,j ,k ))
end if
enddo
enddo
enddo
!$OMP END PARALLEL DO
endif
!$OMP PARALLEL DO PRIVATE(i,j,k,itracer,alp_l,alp_r,alp_tmp,Bcons_l,Bcons_r)
do k = GRHydro_stencil + 1, cctk_lsh(3) - GRHydro_stencil ! we need to compute Evec on all faces/edges where the fluxes are defined
do j = GRHydro_stencil + 1, cctk_lsh(2) - GRHydro_stencil
do i = GRHydro_stencil + 1, cctk_lsh(1) - GRHydro_stencil
alp_l = 0.5d0 * (alp(i,j,k) + &
alp(i-xoffset,j-yoffset,k-zoffset))
alp_r = 0.5d0 * (alp(i,j,k) + &
alp(i+xoffset,j+yoffset,k+zoffset))
densrhs(i,j,k) = densrhs(i,j,k) + &
(alp_l * densflux(i-xoffset,j-yoffset,k-zoffset) - &
alp_r * densflux(i,j,k)) * idx
srhs(i,j,k,1) = srhs(i,j,k,1) + &
(alp_l * sxflux(i-xoffset,j-yoffset,k-zoffset) - &
alp_r * sxflux(i,j,k)) * idx
srhs(i,j,k,2) = srhs(i,j,k,2) + &
(alp_l * syflux(i-xoffset,j-yoffset,k-zoffset) - &
alp_r * syflux(i,j,k)) * idx
srhs(i,j,k,3) = srhs(i,j,k,3) + &
(alp_l * szflux(i-xoffset,j-yoffset,k-zoffset) - &
alp_r * szflux(i,j,k)) * idx
taurhs(i,j,k) = taurhs(i,j,k) + &
(alp_l * tauflux(i-xoffset,j-yoffset,k-zoffset) - &
alp_r * tauflux(i,j,k)) * idx
if(evolve_mhd.ne.0) then
if(transport_constraints.ne.1) then
Bconsrhs(i,j,k,1) = Bconsrhs(i,j,k,1) + &
(alp_l * Bconsxflux(i-xoffset,j-yoffset,k-zoffset) - &
alp_r * Bconsxflux(i,j,k)) * idx
Bconsrhs(i,j,k,2) = Bconsrhs(i,j,k,2) + &
(alp_l * Bconsyflux(i-xoffset,j-yoffset,k-zoffset) - &
alp_r * Bconsyflux(i,j,k)) * idx
Bconsrhs(i,j,k,3) = Bconsrhs(i,j,k,3) + &
(alp_l * Bconszflux(i-xoffset,j-yoffset,k-zoffset) - &
alp_r * Bconszflux(i,j,k)) * idx
endif
if(clean_divergence.ne.0) then
psidcrhs(i,j,k) = psidcrhs(i,j,k) + &
(alp_l * psidcflux(i-xoffset,j-yoffset,k-zoffset) - &
alp_r * psidcflux(i,j,k)) * idx
endif
endif
if (evolve_tracer .ne. 0) then
do itracer=1,number_of_tracers
cons_tracerrhs(i,j,k,itracer) = cons_tracerrhs(i,j,k,itracer) + &
(alp_l * cons_tracerflux(i-xoffset,j-yoffset,k-zoffset,itracer) - &
alp_r * cons_tracerflux(i,j,k,itracer)) * idx
enddo
end if
if (evolve_Y_e .ne. 0) then
Y_e_con_rhs(i,j,k) = Y_e_con_rhs(i,j,k) + &
(alp_l * Y_e_con_flux(i-xoffset,j-yoffset,k-zoffset) - &
alp_r * Y_e_con_flux(i,j,k)) * idx
end if
if (evolve_entropy .ne. 0) then
entropyrhs(i,j,k) = entropyrhs(i,j,k) + &
(alp_l * entropyflux(i-xoffset,j-yoffset,k-zoffset) - &
alp_r * entropyflux(i,j,k)) * idx
end if
! densrhs(i,j,k) = 0.0d0
! taurhs(i,j,k) = 0.0d0
! srhs(i,j,k,:) = 0.0d0
! y_e_con_rhs(i,j,k) = 0.0d0
if (wk_atmosphere .eq. 1) then
if (atmosphere_mask(i,j,k) .ne. 0) then
!!$ We are in the atmosphere so the momentum flux must vanish
srhs(i,j,k,:) = 0.d0
if ( (atmosphere_mask(i-1,j ,k ) .ne. 0) .and. &
(atmosphere_mask(i+1,j ,k ) .ne. 0) .and. &
(atmosphere_mask(i ,j-1,k ) .ne. 0) .and. &
(atmosphere_mask(i ,j+1,k ) .ne. 0) .and. &
(atmosphere_mask(i ,j ,k-1) .ne. 0) .and. &
(atmosphere_mask(i ,j ,k+1) .ne. 0) &
) then
!!$ All neighbours are also atmosphere so all rhs vanish
densrhs(i,j,k) = 0.d0
taurhs(i,j,k) = 0.d0
end if
end if
end if
enddo
enddo
enddo
!$OMP END PARALLEL DO
else
call CCTK_WARN(0, "Not supported")
!!$ do k = GRHydro_stencil + 1, cctk_lsh(3) - GRHydro_stencil
!!$ do j = GRHydro_stencil + 1, cctk_lsh(2) - GRHydro_stencil
!!$ do i = GRHydro_stencil + 1, cctk_lsh(1) - GRHydro_stencil
!!$
!!$ alp_l = 0.5d0 * (alp(i,j,k) + &
!!$ alp(i-xoffset,j-yoffset,k-zoffset))
!!$ alp_r = 0.5d0 * (alp(i,j,k) + &
!!$ alp(i+xoffset,j+yoffset,k+zoffset))
!!$
!!$ densrhs(i,j,k) = densrhs(i,j,k) + &
!!$ (alp_l * &
!!$ &cell_surface(i-xoffset,j-yoffset,k-zoffset,flux_direction) * &
!!$ &densflux(i-xoffset,j-yoffset,k-zoffset) - &
!!$ alp_r * &
!!$ &cell_surface(i,j,k,flux_direction) * &
!!$ &densflux(i,j,k)) * idx / cell_volume(i,j,k)
!!$ sxrhs(i,j,k) = sxrhs(i,j,k) + &
!!$ (alp_l * &
!!$ &cell_surface(i-xoffset,j-yoffset,k-zoffset,flux_direction) * &
!!$ &sxflux(i-xoffset,j-yoffset,k-zoffset) - &
!!$ alp_r * &
!!$ &cell_surface(i,j,k,flux_direction) * &
!!$ &sxflux(i,j,k)) * idx / cell_volume(i,j,k)
!!$ syrhs(i,j,k) = syrhs(i,j,k) + &
!!$ (alp_l * &
!!$ &cell_surface(i-xoffset,j-yoffset,k-zoffset,flux_direction) * &
!!$ &syflux(i-xoffset,j-yoffset,k-zoffset) - &
!!$ alp_r * &
!!$ &cell_surface(i,j,k,flux_direction) * &
!!$ &syflux(i,j,k)) * idx / cell_volume(i,j,k)
!!$ szrhs(i,j,k) = szrhs(i,j,k) + &
!!$ (alp_l * &
!!$ &cell_surface(i-xoffset,j-yoffset,k-zoffset,flux_direction) * &
!!$ &szflux(i-xoffset,j-yoffset,k-zoffset) - &
!!$ alp_r * &
!!$ &cell_surface(i,j,k,flux_direction) * &
!!$ &szflux(i,j,k)) * idx / cell_volume(i,j,k)
!!$ taurhs(i,j,k) = taurhs(i,j,k) + &
!!$ (alp_l * &
!!$ &cell_surface(i-xoffset,j-yoffset,k-zoffset,flux_direction) * &
!!$ &tauflux(i-xoffset,j-yoffset,k-zoffset) - &
!!$ alp_r * &
!!$ &cell_surface(i,j,k,flux_direction) * &
!!$ &tauflux(i,j,k)) * idx / cell_volume(i,j,k)
!!$
!!$ enddo
!!$ enddo
!!$ enddo
end if
else if (CCTK_EQUALS(method_type, "Flux split FD")) then
if (evolve_mhd.ne.0 .and. transport_constraints .ne. 0) then
call CCTK_WARN(0, "Not supported")
end if
do k = GRHydro_stencil + 1, cctk_lsh(3) - GRHydro_stencil
do j = GRHydro_stencil + 1, cctk_lsh(2) - GRHydro_stencil
do i = GRHydro_stencil + 1, cctk_lsh(1) - GRHydro_stencil
densrhs(i,j,k) = densrhs(i,j,k) + &
(densflux(i-xoffset,j-yoffset,k-zoffset) - &
densflux(i,j,k)) * idx
srhs(i,j,k,1) = srhs(i,j,k,1) + &
(sxflux(i-xoffset,j-yoffset,k-zoffset) - &
sxflux(i,j,k)) * idx
srhs(i,j,k,2) = srhs(i,j,k,2) + &
(syflux(i-xoffset,j-yoffset,k-zoffset) - &
syflux(i,j,k)) * idx
srhs(i,j,k,3) = srhs(i,j,k,3) + &
(szflux(i-xoffset,j-yoffset,k-zoffset) - &
szflux(i,j,k)) * idx
taurhs(i,j,k) = taurhs(i,j,k) + &
(tauflux(i-xoffset,j-yoffset,k-zoffset) - &
tauflux(i,j,k)) * idx
if(evolve_mhd.ne.0) then
Bconsrhs(i,j,k,1) = Bconsrhs(i,j,k,1) + &
(Bconsxflux(i-xoffset,j-yoffset,k-zoffset) - &
Bconsxflux(i,j,k)) * idx
Bconsrhs(i,j,k,2) = Bconsrhs(i,j,k,2) + &
(Bconsyflux(i-xoffset,j-yoffset,k-zoffset) - &
Bconsyflux(i,j,k)) * idx
Bconsrhs(i,j,k,3) = Bconsrhs(i,j,k,3) + &
(Bconszflux(i-xoffset,j-yoffset,k-zoffset) - &
Bconszflux(i,j,k)) * idx
if(clean_divergence.ne.0) then
psidcrhs(i,j,k) = psidcrhs(i,j,k) + &
(psidcflux(i-xoffset,j-yoffset,k-zoffset) - &
psidcflux(i,j,k)) * idx
endif
if(track_divB.ne.0) then
Bcons_l = 0.5d0 * (Bcons(i,j,k,flux_direction) + &
Bcons(i-xoffset,j-yoffset,k-zoffset,flux_direction))
Bcons_r = 0.5d0 * (Bcons(i,j,k,flux_direction) + &
Bcons(i+xoffset,j+yoffset,k+zoffset,flux_direction))
divB(i,j,k) = divB(i,j,k) + ( Bcons_l - Bcons_r ) * idx
endif
endif
enddo
enddo
enddo
end if
if (evolve_mhd.ne.0 .and. transport_constraints.ne.0 .and. &
flux_direction.eq.1) then ! HACK: x direction is last
! FIXME: I think one could wrap all of this into a single do loop and remove the
! Evec storage
!$OMP PARALLEL DO PRIVATE(i,j,k)
do k = GRHydro_stencil + 1, cctk_lsh(3) - GRHydro_stencil
do j = GRHydro_stencil + 1, cctk_lsh(2) - GRHydro_stencil
do i = GRHydro_stencil + 1, cctk_lsh(1) - GRHydro_stencil
Bconsrhs(i,j,k,1) = - 0.5d0 * ((Evec(i-1,j ,k-1,2)-Evec(i-1,j ,k ,2)) &
+ (Evec(i ,j ,k-1,2)-Evec(i ,j ,k ,2))) / CCTK_DELTA_SPACE(3) &
- 0.5d0 * ((Evec(i-1,j ,k ,3)-Evec(i-1,j-1,k ,3)) &
+ (Evec(i ,j ,k ,3)-Evec(i ,j-1,k ,3))) / CCTK_DELTA_SPACE(2)
Bconsrhs(i,j,k,2) = - 0.5d0 * ((Evec(i-1,j-1,k ,3)-Evec(i ,j-1,k ,3)) &
+ (Evec(i-1,j ,k ,3)-Evec(i ,j ,k ,3))) / CCTK_DELTA_SPACE(1) &
- 0.5d0 * ((Evec(i ,j-1,k ,1)-Evec(i ,j-1,k-1,1)) &
+ (Evec(i ,j ,k ,1)-Evec(i ,j ,k-1,1))) / CCTK_DELTA_SPACE(3)
Bconsrhs(i,j,k,3) = - 0.5d0 * ((Evec(i ,j-1,k-1,1)-Evec(i ,j ,k-1,1)) &
+ (Evec(i ,j-1,k ,1)-Evec(i ,j ,k ,1))) / CCTK_DELTA_SPACE(2) &
- 0.5d0 * ((Evec(i ,j ,k-1,2)-Evec(i-1,j ,k-1,2)) &
+ (Evec(i ,j ,k ,2)-Evec(i-1,j ,k ,2))) / CCTK_DELTA_SPACE(1)
enddo
enddo
enddo
!$OMP END PARALLEL DO
end if
return
end subroutine UpdateCalculation
/*@@
@routine ConstrainSconTo1D
@date Tue 24 14:12 2012
@author Christian Reisswig
@desc
Constrains the conserved fluid velocity to radial direction
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
subroutine ConstrainSconTo1D(CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_FUNCTIONS
CCTK_INT :: i,j,k
CCTK_REAL :: rnorm, rnormI, scon_tmp1, scon_tmp2, scon_tmp3
!$OMP PARALLEL DO PRIVATE(i,j,k,rnorm,rnormI,scon_tmp1,scon_tmp2,scon_tmp3)
do k = GRHydro_stencil + 1 - transport_constraints, cctk_lsh(3) - GRHydro_stencil ! we need to compute Evec on all faces/edges where the fluxes are defined
do j = GRHydro_stencil + 1 - transport_constraints, cctk_lsh(2) - GRHydro_stencil
do i = GRHydro_stencil + 1 - transport_constraints, cctk_lsh(1) - GRHydro_stencil
! Eliminate non-radial fluid velocities to obtain pseudo 1D scheme
rnorm = (x(i,j,k)**2 + y(i,j,k)**2 + z(i,j,k)**2)
if (rnorm.lt.1.0d-10) then
rnormI = 0.0d0
else
rnormI = 1.0d0/rnorm
endif
scon_tmp1 = (x(i,j,k)*scon(i,j,k,1) &
+ y(i,j,k)*scon(i,j,k,2) &
+ z(i,j,k)*scon(i,j,k,3)) * rnormI * x(i,j,k)
scon_tmp2 = (x(i,j,k)*scon(i,j,k,1) &
+ y(i,j,k)*scon(i,j,k,2) &
+ z(i,j,k)*scon(i,j,k,3)) * rnormI * y(i,j,k)
scon_tmp3 = (x(i,j,k)*scon(i,j,k,1) &
+ y(i,j,k)*scon(i,j,k,2) &
+ z(i,j,k)*scon(i,j,k,3)) * rnormI * z(i,j,k)
scon(i,j,k,1) = scon_tmp1
scon(i,j,k,2) = scon_tmp2
scon(i,j,k,3) = scon_tmp3
end do
end do
end do
end subroutine ConstrainSconTo1D
|
