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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)

 /*@@
   @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
  
  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
          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,"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
       else if (CCTK_EQUALS(shock_case,"Balsara1")) 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
          bvcxl=0.5d0
          bvcxr=0.5d0
          bvcyl=1.d0
          bvcyr=-1.d0
          bvczl=0.d0
          bvczr=0.d0
          epsl = 1.0/rhol
          epsr = 0.1/rhor
       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
       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
       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
       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
       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
          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
          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

        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),Bvecx(i,j,k),Bvecy(i,j,k),Bvecz(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),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),Bvecx(i,j,k),Bvecy(i,j,k),Bvecz(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),w_lorentz(i,j,k))
        end if
    enddo
    enddo
  enddo

  densrhs = 0.d0
  srhs = 0.d0
  taurhs = 0.d0
  Bvecrhs = 0.d0


  return
  
end subroutine GRHydro_shocktubeM