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|
/*@@
@file GRHydro_ShockTubeM.F90
@date Sep 23, 2010
@author Joshua Faber, Scott Noble, Bruno Mundim, Ian Hawke
@desc
Initial data of the shock tube type - MHD version.
@enddesc
@@*/
#include "cctk.h"
#include "cctk_Parameters.h"
#include "cctk_Arguments.h"
#include "cctk_Functions.h"
#include "GRHydro_Macros.h"
#define velx(i,j,k) vel(i,j,k,1)
#define vely(i,j,k) vel(i,j,k,2)
#define velz(i,j,k) vel(i,j,k,3)
#define sx(i,j,k) scon(i,j,k,1)
#define sy(i,j,k) scon(i,j,k,2)
#define sz(i,j,k) scon(i,j,k,3)
#define Bvecx(i,j,k) Bvec(i,j,k,1)
#define Bvecy(i,j,k) Bvec(i,j,k,2)
#define Bvecz(i,j,k) Bvec(i,j,k,3)
#define Bconsx(i,j,k) Bcons(i,j,k,1)
#define Bconsy(i,j,k) Bcons(i,j,k,2)
#define Bconsz(i,j,k) Bcons(i,j,k,3)
#define OOSQRT2 (0.7071067811865475244008442)
#define OOSQRT3 (0.5773502691896257645091489)
#define OOSQRT6 (0.4082482904638630163662140)
/*@@
@routine GRHydro_shocktubeM
@date Sat Jan 26 02:53:49 2002
@author Joshua Faber, Scott Noble, Bruno Mundim, Ian Hawke
@desc
Initial data for shock tubes, parallel to
a coordinate axis. Either Sods problem or the standard shock tube.
@enddesc
@calls
@calledby
@history
Expansion and alteration of the test code from GRAstro_Hydro,
written by Mark Miller.
@endhistory
@@*/
subroutine GRHydro_shocktubeM(CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_FUNCTIONS
CCTK_INT :: i, j, k, nx, ny, nz
CCTK_REAL :: direction, det
CCTK_REAL :: rhol, rhor, velxl, velxr, velyl, velyr, &
velzl, velzr, epsl, epsr
CCTK_REAL :: bvcxl,bvcyl,bvczl,bvcxr,bvcyr,bvczr
CCTK_REAL :: ux,uy,uz,ut,tmp,tmp2,tmp3
bvcxl = Bx_init
bvcyl = By_init
bvczl = Bz_init
bvcxr = Bx_init
bvcyr = By_init
bvczr = Bz_init
nx = cctk_lsh(1)
ny = cctk_lsh(2)
nz = cctk_lsh(3)
do i=1,nx
do j=1,ny
do k=1,nz
if (CCTK_EQUALS(shocktube_type,"diagshock")) then
!!$ The diagshock choice yields a shock plane perpendicular to the fixed vector (1,1,1)
!!$ This could be changed, but would require 3 new params containing the new shock direction
direction = x(i,j,k) - shock_xpos + &
y(i,j,k) - shock_ypos + z(i,j,k) - shock_zpos
else if (CCTK_EQUALS(shocktube_type,"diagshock2d")) then
!!$ The diagshock choice yields a shock plane perpendicular to the fixed vector (1,1,0), with similarity in the z-dir.
!!$ This could be changed, but would require 2 new params containing the new shock direction
direction = x(i,j,k) - shock_xpos + &
y(i,j,k) - shock_ypos
else if (CCTK_EQUALS(shocktube_type,"xshock")) then
direction = x(i,j,k) - shock_xpos
else if (CCTK_EQUALS(shocktube_type,"yshock")) then
direction = y(i,j,k) - shock_ypos
else if (CCTK_EQUALS(shocktube_type,"zshock")) then
direction = z(i,j,k) - shock_zpos
else if (CCTK_EQUALS(shocktube_type,"sphere")) then
direction = sqrt((x(i,j,k)-shock_xpos)**2+&
(y(i,j,k)-shock_ypos)**2+&
(z(i,j,k)-shock_zpos)**2)-shock_radius
end if
if (CCTK_EQUALS(shock_case,"Simple")) then
rhol = 10.d0
rhor = 1.d0
velxl = 0.d0
velxr = 0.d0
velyl = 0.d0
velyr = 0.d0
velzl = 0.d0
velzr = 0.d0
epsl = 2.d0
epsr = 1.d-6
else if (CCTK_EQUALS(shock_case,"Sod")) then
rhol = 1.d0
rhor = 0.125d0
velxl = 0.d0
velxr = 0.d0
velyl = 0.d0
velyr = 0.d0
velzl = 0.d0
velzr = 0.d0
epsl = 1.5d0
epsr = 1.2d0
!!$This line only for polytrope, k=1
!!$ epsr = 0.375d0
else if (CCTK_EQUALS(shock_case,"Blast")) then
rhol = 1.d0
rhor = 1.d0
velxl = 0.d0
velxr = 0.d0
velyl = 0.d0
velyr = 0.d0
velzl = 0.d0
velzr = 0.d0
epsl = 1500.d0
epsr = 1.5d-2
!!$ The following shocktubes are from Balsara 2001 .
!!$ All use n=1600 cells, over domain x=[-0.5,0.5]
!!$ All assume ideal-gas or gamma-law EOS, the first test uses GAMMA=2. while the rest GAMMA=5./3.
!!$ Unmagnetized Test 1 (rel. Brio & Wu 1988 by van Putten 1993) of Balsara 2001 -- compare at t=0.4
else if (CCTK_EQUALS(shock_case,"Balsara0")) then
rhol = 1.0d0
rhor = 0.125d0
velxl = 0.0d0
velxr = 0.0d0
velyl = 0.0d0
velyr = 0.0d0
velzl = 0.0d0
velzr = 0.0d0
bvcxl=0.0d0
bvcxr=0.0d0
bvcyl=0.0d0
bvcyr=0.0d0
bvczl=0.0d0
bvczr=0.0d0
epsl = 1.0d0/rhol
epsr = 0.1d0/rhor
!!$ Test 1 (rel. Brio & Wu 1988 by van Putten 1993) of Balsara 2001 -- compare at t=0.4
else if (CCTK_EQUALS(shock_case,"Balsara1")) then
rhol = 1.0d0
rhor = 0.125d0
velxl = 0.0d0
velxr = 0.0d0
velyl = 0.0d0
velyr = 0.0d0
velzl = 0.0d0
velzr = 0.0d0
bvcxl=0.5d0
bvcxr=0.5d0
bvcyl=1.0d0
bvcyr=-1.0d0
bvczl=0.0d0
bvczr=0.0d0
epsl = 1.0d0/rhol
epsr = 0.1d0/rhor
!!$ Test 2 (blast wave) of Balsara 2001 -- compare at t=0.4
else if (CCTK_EQUALS(shock_case,"Balsara2")) then
rhol = 1.d0
rhor = 1.d0
velxl = 0.d0
velxr = 0.d0
velyl = 0.d0
velyr = 0.d0
velzl = 0.d0
velzr = 0.d0
bvcxl=5.0d0
bvcxr=5.0d0
bvcyl=6.d0
bvcyr=0.7d0
bvczl=6.d0
bvczr=0.7d0
epsl = 1.5d0*30.0d0/rhol
epsr = 1.5d0*1.0d0/rhor
!!$ Test 3 (blast wave) of Balsara 2001 -- compare at t=0.4
else if (CCTK_EQUALS(shock_case,"Balsara3")) then
rhol = 1.d0
rhor = 1.d0
velxl = 0.d0
velxr = 0.d0
velyl = 0.d0
velyr = 0.d0
velzl = 0.d0
velzr = 0.d0
bvcxl=10.0d0
bvcxr=10.0d0
bvcyl=7.d0
bvcyr=0.7d0
bvczl=7.d0
bvczr=0.7d0
epsl = 1.5d0*1000.0d0/rhol
epsr = 1.5d0*0.1d0/rhor
!!$ Test 4 (rel. version of Noh 1987) of Balsara 2001 -- compare at t=0.4
else if (CCTK_EQUALS(shock_case,"Balsara4")) then
rhol = 1.d0
rhor = 1.d0
velxl = 0.999d0
velxr = -0.999d0
velyl = 0.d0
velyr = 0.d0
velzl = 0.d0
velzr = 0.d0
bvcxl=10.0d0
bvcxr=10.0d0
bvcyl=7.d0
bvcyr=-7.d0
bvczl=7.d0
bvczr=-7.d0
epsl = 1.5d0*0.1d0/rhol
epsr = 1.5d0*0.1d0/rhor
!!$ Test 5 (non-coplanar set of waves) of Balsara 2001 -- compare at t=0.55
else if (CCTK_EQUALS(shock_case,"Balsara5")) then
rhol = 1.08d0
rhor = 1.d0
velxl = 0.4d0
velxr = -0.45d0
velyl = 0.3d0
velyr = -0.2d0
velzl = 0.2d0
velzr = 0.2d0
bvcxl=2.0d0
bvcxr=2.0d0
bvcyl=0.3d0
bvcyr=-0.7d0
bvczl=0.3d0
bvczr=0.5d0
epsl = 1.5d0*0.95d0/rhol
epsr = 1.5d0*1.0d0/rhor
!!$ "Generic Alfven Test of Giacomazzo and Rezzolla J.Comp.Phys (2006)
else if (CCTK_EQUALS(shock_case,"Alfven")) then
rhol = 1.d0
rhor = 0.9d0
velxl = 0.d0
velxr = 0.d0
velyl = 0.3d0
velyr = 0.d0
velzl = 0.4d0
velzr = 0.d0
bvcxl=1.0d0
bvcxr=1.0d0
bvcyl=6.d0
bvcyr=5.d0
bvczl=2.d0
bvczr=2.d0
epsl = 1.5d0*5.d0/rhol
epsr = 1.5d0*5.3d0/rhor
!!$ The following 9 tests are from Komissarov 1999 .
!!$ Note that the data is specified in terms of the 4-velocity, so some conversion is necessary.
!!$ All assume ideal-gas or gamma-law EOS with GAMMA=4./3.
!!$ Fast Shock test of Komissarov 1999 -- compare at t=2.5 , n=40, x=[-1,1]
else if (CCTK_EQUALS(shock_case,"Komissarov1")) then
rhol = 1.d0
rhor = 25.48d0
bvcxl=20.d0
bvcxr=20.d0
bvcyl=25.02d0
bvcyr=49.d0
bvczl=0.d0
bvczr=0.d0
epsl = 3.d0 * 1.d0 /rhol
epsr = 3.d0 * 367.5d0 /rhor
ux=25.d0
uy=0.d0
uz=0.d0
ut = sqrt(1. + ux*ux + uy*uy + uz*uz)
velxl = ux/ut
velyl = uy/ut
velzl = uz/ut
ux=1.091d0
uy=0.3923d0
uz=0.d0
ut = sqrt(1. + ux*ux + uy*uy + uz*uz)
velxr = ux/ut
velyr = uy/ut
velzr = uz/ut
!!$ Slow Shock test of Komissarov 1999 -- compare at t=2. , n=200, x=[-0.5,1.5]
else if (CCTK_EQUALS(shock_case,"Komissarov2")) then
rhol = 1.d0
rhor = 3.323d0
bvcxl=10.d0
bvcxr=10.d0
bvcyl=18.28d0
bvcyr=14.49d0
bvczl=0.d0
bvczr=0.d0
epsl = 3.d0 * 1.d0 /rhol
epsr = 3.d0 * 55.36d0 /rhor
ux=1.53d0
uy=0.d0
uz=0.d0
ut = sqrt(1. + ux*ux + uy*uy + uz*uz)
velxl = ux/ut
velyl = uy/ut
velzl = uz/ut
ux=0.9571d0
uy=-0.6822d0
uz=0.d0
ut = sqrt(1. + ux*ux + uy*uy + uz*uz)
velxr = ux/ut
velyr = uy/ut
velzr = uz/ut
!!$ Switch-off Fast test of Komissarov 1999 -- compare at t=1. , n=150, x=[-1,1]
else if (CCTK_EQUALS(shock_case,"Komissarov3")) then
rhol = 0.1d0
rhor = 0.562d0
bvcxl=2.d0
bvcxr=2.d0
bvcyl=0.d0
bvcyr=4.710d0
bvczl=0.d0
bvczr=0.d0
epsl = 3.d0 * 1.d0 /rhol
epsr = 3.d0 * 10.d0 /rhor
ux=-2.d0
uy=0.d0
uz=0.d0
ut = sqrt(1. + ux*ux + uy*uy + uz*uz)
velxl = ux/ut
velyl = uy/ut
velzl = uz/ut
ux=-0.212d0
uy=-0.590d0
uz=0.d0
ut = sqrt(1. + ux*ux + uy*uy + uz*uz)
velxr = ux/ut
velyr = uy/ut
velzr = uz/ut
!!$ Switch-on Slow test of Komissarov 1999 -- compare at t=2. , n=150, x=[-1,1.5]
else if (CCTK_EQUALS(shock_case,"Komissarov4")) then
rhol = 1.78d-2
rhor = 1.d-2
bvcxl=1.d0
bvcxr=1.d0
bvcyl=1.022d0
bvcyr=0.d0
bvczl=0.d0
bvczr=0.d0
epsl = 3.d0 * 0.1d0 /rhol
epsr = 3.d0 * 1.d0 /rhor
ux=-0.765d0
uy=-1.386d0
uz=0.d0
ut = sqrt(1. + ux*ux + uy*uy + uz*uz)
velxl = ux/ut
velyl = uy/ut
velzl = uz/ut
ux=0.d0
uy=0.d0
uz=0.d0
ut = sqrt(1. + ux*ux + uy*uy + uz*uz)
velxr = ux/ut
velyr = uy/ut
velzr = uz/ut
!!$ Alfven wave test of Komissarov 1999 -- compare at t=2. , n=200, x=[-1,1.5]
!!$ Needs special setup -- FIX
else if (CCTK_EQUALS(shock_case,"Komissarov5")) then
rhol = 1.d0
rhor = 1.d0
bvcxl=3.d0
bvcxr=3.d0
bvcyl=3.d0
bvcyr=-6.857d0
bvczl=0.d0
bvczr=0.d0
epsl = 3.d0 * 1.d0 /rhol
epsr = 3.d0 * 1.d0 /rhor
ux=0.d0
uy=0.d0
uz=0.d0
ut = sqrt(1. + ux*ux + uy*uy + uz*uz)
velxl = ux/ut
velyl = uy/ut
velzl = uz/ut
ux=3.70d0
uy=5.76d0
uz=0.d0
ut = sqrt(1. + ux*ux + uy*uy + uz*uz)
velxr = ux/ut
velyr = uy/ut
velzr = uz/ut
!!$ Compound wave test of Komissarov 1999 -- compare at t=0.1,0.75,1.5 , n=200, x=[-0.5,1.5]
!!$ Needs special setup -- FIX
else if (CCTK_EQUALS(shock_case,"Komissarov6")) then
rhol = 1.d0
rhor = 1.d0
bvcxl=3.d0
bvcxr=3.d0
bvcyl=3.d0
bvcyr=-6.857d0
bvczl=0.d0
bvczr=0.d0
epsl = 3.d0 * 1.d0 /rhol
epsr = 3.d0 * 1.d0 /rhor
ux=0.d0
uy=0.d0
uz=0.d0
ut = sqrt(1. + ux*ux + uy*uy + uz*uz)
velxl = ux/ut
velyl = uy/ut
velzl = uz/ut
ux=3.70d0
uy=5.76d0
uz=0.d0
ut = sqrt(1. + ux*ux + uy*uy + uz*uz)
velxr = ux/ut
velyr = uy/ut
velzr = uz/ut
!!$ Shock Tube 1 test of Komissarov 1999 -- compare at t=1. , n=400, x=[-1,1.5]
else if (CCTK_EQUALS(shock_case,"Komissarov7")) then
rhol = 1.d0
rhor = 1.d0
bvcxl=1.d0
bvcxr=1.d0
bvcyl=0.d0
bvcyr=0.d0
bvczl=0.d0
bvczr=0.d0
epsl = 3.d0 * 1.d3 /rhol
epsr = 3.d0 * 1.d0 /rhor
velxl = 0.
velyl = 0.
velzl = 0.
velxr = 0.
velyr = 0.
velzr = 0.
!!$ Shock Tube 2 test of Komissarov 1999 -- compare at t=1. , n=500, x=[-1.25,1.25]
else if (CCTK_EQUALS(shock_case,"Komissarov8")) then
rhol = 1.d0
rhor = 1.d0
bvcxl=0.d0
bvcxr=0.d0
bvcyl=20.d0
bvcyr=0.d0
bvczl=0.d0
bvczr=0.d0
epsl = 3.d0 * 30.d0 /rhol
epsr = 3.d0 * 1.d0 /rhor
velxl = 0.
velyl = 0.
velzl = 0.
velxr = 0.
velyr = 0.
velzr = 0.
!!$ Collision test of Komissarov 1999 -- compare at t=1.22 , n=200, x=[-1,1]
else if (CCTK_EQUALS(shock_case,"Komissarov9")) then
rhol = 1.d0
rhor = 1.d0
bvcxl=10.d0
bvcxr=10.d0
bvcyl=10.d0
bvcyr=-10.d0
bvczl=0.d0
bvczr=0.d0
epsl = 3.d0 * 1.d0 /rhol
epsr = 3.d0 * 1.d0 /rhor
ux=5.d0
uy=0.d0
uz=0.d0
ut = sqrt(1. + ux*ux + uy*uy + uz*uz)
velxl = ux/ut
velyl = uy/ut
velzl = uz/ut
ux=-5.d0
uy=0.d0
uz=0.d0
ut = sqrt(1. + ux*ux + uy*uy + uz*uz)
velxr = ux/ut
velyr = uy/ut
velzr = uz/ut
else
call CCTK_WARN(0,"Shock case not recognized")
end if
if ( ((change_shock_direction==0).and.(direction .lt. 0.0d0)).or.&
((change_shock_direction==1).and.(direction .gt. 0.0d0)) ) then
!!$ Left state
rho(i,j,k) = rhol
velx(i,j,k) = velxl
vely(i,j,k) = velyl
velz(i,j,k) = velzl
eps(i,j,k) = epsl
Bvecx(i,j,k)=bvcxl
Bvecy(i,j,k)=bvcyl
Bvecz(i,j,k)=bvczl
else
!!$ Right state
rho(i,j,k) = rhor
velx(i,j,k) = velxr
vely(i,j,k) = velyr
velz(i,j,k) = velzr
eps(i,j,k) = epsr
Bvecx(i,j,k)=bvcxr
Bvecy(i,j,k)=bvcyr
Bvecz(i,j,k)=bvczr
end if
if (CCTK_EQUALS(shocktube_type,"yshock")) then
!!$ Cycle x,y,z forward
tmp=velx(i,j,k)
velx(i,j,k)=velz(i,j,k)
velz(i,j,k)=vely(i,j,k)
vely(i,j,k)=tmp
tmp=Bvecx(i,j,k)
Bvecx(i,j,k)=Bvecz(i,j,k)
Bvecz(i,j,k)=Bvecy(i,j,k)
Bvecy(i,j,k)=tmp
else if (CCTK_EQUALS(shocktube_type,"zshock")) then
!!$ Cycle x,y,z backward
tmp=velx(i,j,k)
velx(i,j,k)=vely(i,j,k)
vely(i,j,k)=velz(i,j,k)
velz(i,j,k)=tmp
tmp=Bvecx(i,j,k)
Bvecx(i,j,k)=Bvecy(i,j,k)
Bvecy(i,j,k)=Bvecz(i,j,k)
Bvecz(i,j,k)=tmp
else if (CCTK_EQUALS(shocktube_type,"diagshock")) then
!!$ Rotated basis vectors necessary to evaluate the orthogonal matrix elements:
!!$ xhat = 1/sqrt(3)[1,1,1], yhat = 1/sqrt(2)[-1,1,0]; zhat = 1/sqrt(6)[-1,-1,2]
!!$ Orthogonal matrix constructed from the tensor product between the original
!!$ cartesian basis x's and new basis vectors xhat's, rotated towards the diagonal
!!$ shock normal and tangent directions.
tmp = OOSQRT3*velx(i,j,k) - OOSQRT2*vely(i,j,k) - OOSQRT6*velz(i,j,k)
tmp2 = OOSQRT3*velx(i,j,k) + OOSQRT2*vely(i,j,k) - OOSQRT6*velz(i,j,k)
tmp3 = OOSQRT3*velx(i,j,k) + 2.d0*OOSQRT6*velz(i,j,k)
velx(i,j,k)=tmp
vely(i,j,k)=tmp2
velz(i,j,k)=tmp3
tmp = OOSQRT3*Bvecx(i,j,k) - OOSQRT2*Bvecy(i,j,k) - OOSQRT6*Bvecz(i,j,k)
tmp2 = OOSQRT3*Bvecx(i,j,k) + OOSQRT2*Bvecy(i,j,k) - OOSQRT6*Bvecz(i,j,k)
tmp3 = OOSQRT3*Bvecx(i,j,k) + 2.d0*OOSQRT6*Bvecz(i,j,k)
Bvecx(i,j,k)=tmp
Bvecy(i,j,k)=tmp2
Bvecz(i,j,k)=tmp3
else if (CCTK_EQUALS(shocktube_type,"diagshock2d")) then
!!$ New basis:
!!$ xhat = 1/sqrt(2)[1,1,0], yhat = 1/sqrt(2)[-1,1,0]; zhat = [0,0,1]
tmp = OOSQRT2*velx(i,j,k) - OOSQRT2*vely(i,j,k)
tmp2 = OOSQRT2*velx(i,j,k) + OOSQRT2*vely(i,j,k)
velx(i,j,k)=tmp
vely(i,j,k)=tmp2
tmp = OOSQRT2*Bvecx(i,j,k) - OOSQRT2*Bvecy(i,j,k)
tmp2 = OOSQRT2*Bvecx(i,j,k) + OOSQRT2*Bvecy(i,j,k)
Bvecx(i,j,k)=tmp
Bvecy(i,j,k)=tmp2
endif
det=SPATIAL_DETERMINANT(gxx(i,j,k),gxy(i,j,k),gxz(i,j,k),gyy(i,j,k),gyz(i,j,k),gzz(i,j,k))
if (CCTK_EQUALS(GRHydro_eos_type,"Polytype")) then
call Prim2ConPolyM(GRHydro_eos_handle,gxx(i,j,k),gxy(i,j,k),&
gxz(i,j,k),gyy(i,j,k),gyz(i,j,k),gzz(i,j,k),&
det, dens(i,j,k),sx(i,j,k),sy(i,j,k),sz(i,j,k),&
tau(i,j,k),Bconsx(i,j,k),Bconsy(i,j,k),Bconsz(i,j,k),rho(i,j,k),&
velx(i,j,k),vely(i,j,k),velz(i,j,k),&
eps(i,j,k),press(i,j,k),Bvecx(i,j,k),Bvecy(i,j,k),Bvecz(i,j,k),&
w_lorentz(i,j,k))
else
call Prim2ConGenM(GRHydro_eos_handle,gxx(i,j,k),gxy(i,j,k),&
gxz(i,j,k),gyy(i,j,k),gyz(i,j,k),gzz(i,j,k),&
det, dens(i,j,k),sx(i,j,k),sy(i,j,k),sz(i,j,k),&
tau(i,j,k),Bconsx(i,j,k),Bconsy(i,j,k),Bconsz(i,j,k),rho(i,j,k),&
velx(i,j,k),vely(i,j,k),velz(i,j,k),&
eps(i,j,k),press(i,j,k),Bvecx(i,j,k),Bvecy(i,j,k),Bvecz(i,j,k),&
w_lorentz(i,j,k))
end if
enddo
enddo
enddo
densrhs = 0.d0
srhs = 0.d0
taurhs = 0.d0
Bconsrhs = 0.d0
return
end subroutine GRHydro_shocktubeM
subroutine GRHydro_Diagshock_BoundaryM(CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_FUNCTIONS
CCTK_INT :: i, j, k, nx, ny, nz, stenp1, minsum, maxsum, inew, jnew, knew
CCTK_INT :: xoff,yoff,zoff,indsum
CCTK_REAL :: det
stenp1=GRHydro_stencil + 1
nx = cctk_lsh(1)
ny = cctk_lsh(2)
nz = cctk_lsh(3)
minsum = 3*stenp1
maxsum = nx+ny+nz-3*stenp1 + 3
xoff=0
yoff=0
zoff=0
do k=1,nz
if(k.lt.stenp1)then
zoff=k-stenp1
else if(k.gt.nz-stenp1+1) then
zoff=k-(nz-stenp1+1)
else
zoff=0
endif
do j=1,ny
if(j.lt.stenp1)then
yoff=j-stenp1
else if(j.gt.ny-stenp1+1) then
yoff=j-(ny-stenp1+1)
else
yoff=0
endif
do i=1,nx
if(i.lt.stenp1) then
xoff=i-stenp1
else if(i.gt.nx-stenp1+1) then
xoff=i-(nx-stenp1+1)
else
xoff=0
endif
indsum = i+j+k
if( (xoff.ne.0.or.yoff.ne.0.or.zoff.ne.0) .and. &
indsum.ge.minsum.and.indsum.le.maxsum) then
!!$ We can map the point to the interior diagonal, orthogonal to the shock.
inew=indsum/3
jnew=(indsum-inew)/2
knew=indsum-inew-jnew
dens(i,j,k) = dens(inew,jnew,knew)
sx(i,j,k) = sx(inew,jnew,knew)
sy(i,j,k) = sy(inew,jnew,knew)
sz(i,j,k) = sz(inew,jnew,knew)
tau(i,j,k) = tau(inew,jnew,knew)
Bconsx(i,j,k)=Bconsx(inew,jnew,knew)
Bconsy(i,j,k)=Bconsy(inew,jnew,knew)
Bconsz(i,j,k)=Bconsz(inew,jnew,knew)
if(clean_divergence.ne.0) then
psidc(i,j,k)=psidc(inew,jnew,knew)
endif
endif
enddo
enddo
enddo
end subroutine GRHydro_Diagshock_BoundaryM
subroutine GRHydro_Diagshock2D_BoundaryM(CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_FUNCTIONS
CCTK_INT :: i, j, k, kc, nx, ny, nz, stenp1, minsum, maxsum, inew, jnew, knew
CCTK_INT :: xoff,yoff,zoff,indsum
CCTK_REAL :: det
stenp1=GRHydro_stencil + 1
nx = cctk_lsh(1)
ny = cctk_lsh(2)
nz = cctk_lsh(3)
minsum = 2*stenp1
maxsum = nx+ny-2*stenp1 + 2
xoff=0
yoff=0
zoff=0
do k=1,nz
if(k.lt.stenp1)then
zoff=k-stenp1
else if(k.gt.nz-stenp1+1) then
zoff=k-(nz-stenp1+1)
else
zoff=0
endif
do j=1,ny
if(j.lt.stenp1)then
yoff=j-stenp1
else if(j.gt.ny-stenp1+1) then
yoff=j-(ny-stenp1+1)
else
yoff=0
endif
do i=1,nx
if(i.lt.stenp1) then
xoff=i-stenp1
else if(i.gt.nx-stenp1+1) then
xoff=i-(nx-stenp1+1)
else
xoff=0
endif
indsum = i+j
if( (xoff.ne.0.or.yoff.ne.0) .and. &
indsum.ge.minsum.and.indsum.le.maxsum) then
!!$ We can map the point to the interior diagonal, orthogonal to the shock.
inew=indsum/2
jnew=indsum-inew
dens(i,j,k) = dens(inew,jnew,k)
sx(i,j,k) = sx(inew,jnew,k)
sy(i,j,k) = sy(inew,jnew,k)
sz(i,j,k) = sz(inew,jnew,k)
tau(i,j,k) = tau(inew,jnew,k)
Bconsx(i,j,k)=Bconsx(inew,jnew,k)
Bconsy(i,j,k)=Bconsy(inew,jnew,k)
Bconsz(i,j,k)=Bconsz(inew,jnew,k)
if(clean_divergence.ne.0) then
psidc(i,j,k)=psidc(inew,jnew,k)
endif
else if( zoff.ne.0) then
kc = nz/2
dens(i,j,k) = dens(i,j,kc)
sx(i,j,k) = sx(i,j,kc)
sy(i,j,k) = sy(i,j,kc)
sz(i,j,k) = sz(i,j,kc)
tau(i,j,k) = tau(i,j,kc)
Bconsx(i,j,k)=Bconsx(i,j,kc)
Bconsy(i,j,k)=Bconsy(i,j,kc)
Bconsz(i,j,k)=Bconsz(i,j,kc)
if(clean_divergence.ne.0) then
psidc(i,j,k)=psidc(i,j,kc)
endif
endif
enddo
enddo
enddo
end subroutine GRHydro_Diagshock2D_BoundaryM
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