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/*@@
@file      GRHydro_EOSResetHydro.F90
@date      Sat Jan 26 01:36:57 2002
@author     Ian Hawke
@desc 
   This routine will reset the specific internal energy using the polytropic
   EOS that will be used at evolution. This is wanted if the EoS changes
   between setting up the initial data and evolving
  @enddesc 
  @@*/
  
#include "cctk.h"
#include "cctk_Parameters.h"
#include "cctk_Arguments.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)

 /*@@
   @routine    GRHydro_EOSResetHydro
   @date       Sat Jan 26 01:38:12 2002
   @author     Ian Hawke
   @desc 
   see above
   @enddesc 
   @calls     
   @calledby   
   @history 
   
   @endhistory 

@@*/


subroutine GRHydro_EoSChangeGamma(CCTK_ARGUMENTS)

#if USE_EOS_OMNI
  USE EOS_Omni_Module, only: press_gf, inv_rho_gf, poly_k_cgs, rho_gf
#else
  USE EOS_Polytrope_Scalars
#endif

  implicit none

  DECLARE_CCTK_ARGUMENTS
  DECLARE_CCTK_PARAMETERS

  CCTK_INT :: i, j, k
  CCTK_REAL :: det
  
  CCTK_REAL :: local_gamma
  
#include "EOS_Base.inc"

!!$  Set up the fluid constants
#if USE_EOS_OMNI
! begin EOS Omni vars
  integer :: n = 1
  integer :: poly_eoskey = 0
  integer :: keytemp = 0
  integer :: anyerr = 0
  integer :: keyerr(1) = 0
  real*8  :: xpress = 0.0d0
  real*8  :: xeps = 0.0d0
  real*8  :: xtemp = 0.0d0
  real*8  :: xye = 0.0d0
  poly_eoskey = GRHydro_poly_eoskey
! end EOS Omni vars
  call EOS_Omni_press(poly_eoskey,keytemp,n,&
       1.0d0,1.0d0,xtemp,xye,xpress,keyerr,anyerr)
  
  call EOS_Omni_EpsFromPress(poly_eoskey,keytemp,n,&
       1.0d0,1.0d0,xtemp,xye,xpress,xeps,keyerr,anyerr)

  local_Gamma = 1.0d0 + xpress/xeps
  press = press_gf * poly_k_cgs * &
       (rho * inv_rho_gf)**local_Gamma 
  eps = press / (rho * (local_Gamma - 1.d0))
#else
  local_Gamma = 1.d0 + EOS_Pressure(GRHydro_polytrope_handle, 1.d0, 1.d0) / &
       EOS_SpecificIntEnergy(GRHydro_polytrope_handle, 1.d0, 1.d0)
  press = p_geom_factor * eos_k_cgs * &
       (rho * rho_geom_factor_inv)**local_Gamma 
  eps = press / (rho * (local_Gamma - 1.d0))
#endif

!!$  Change the pressure and specific internal energy

!!$  Get the conserved variables. Hardwired polytrope EoS!!!
!!$  Note that this call also sets pressure and eps
    
  do k = 1, cctk_lsh(3)
    do j = 1, cctk_lsh(2)
      do i = 1, cctk_lsh(1)
        
        call SpatialDeterminant(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)
        call prim2conpolytype(GRHydro_polytrope_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),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 do
    end do
  end do


end subroutine GRHydro_EoSChangeGamma

 /*@@
   @routine    GRHydro_EoSChangeK
   @date       Mon Oct 20 12:56:14 2003
   @author     Ian Hawke
   @desc 
   Reset the hydro variables when K is changed.
   Unlike the routine above, this actually gives a solution to
   the constraints.

   Only two cases are given as the general case is transcendental.
   We find this by holding rho * enthalpy fixed and assuming a
   polytropic EOS.
   @enddesc 
   @calls     
   @calledby   
   @history 
 
   @endhistory 

@@*/

subroutine GRHydro_EoSChangeK(CCTK_ARGUMENTS)

  USE EOS_Polytrope_Scalars

  implicit none

  DECLARE_CCTK_ARGUMENTS
  DECLARE_CCTK_PARAMETERS

  CCTK_INT :: i, j, k
  CCTK_REAL :: det
  
  CCTK_REAL :: local_gamma, local_k
  
  CCTK_REAL, dimension(cctk_lsh(1),cctk_lsh(2),cctk_lsh(3)) :: Q

#include "EOS_Base.inc"

!!$  Set up the fluid constants
#if USE_EOS_OMNI
! begin EOS Omni vars
  integer :: n = 1
  integer :: poly_eoskey = 0
  integer :: keytemp = 0
  integer :: anyerr = 0
  integer :: keyerr(1) = 0
  real*8  :: xpress = 0.0d0
  real*8  :: xeps = 0.0d0
  real*8  :: xtemp = 0.0d0
  real*8  :: xye = 0.0d0
  poly_eoskey = GRHydro_poly_eoskey
! end EOS Omni vars
  call EOS_Omni_press(poly_eoskey,keytemp,n,&
       1.0d0,1.0d0,xtemp,xye,xpress,keyerr,anyerr)
  
  call EOS_Omni_EpsFromPress(poly_eoskey,keytemp,n,&
       1.0d0,1.0d0,xtemp,xye,xpress,xeps,keyerr,anyerr)

  local_Gamma = 1.0d0 + xpress/xeps
  local_K = xpress
#else
  local_Gamma = 1.d0 + EOS_Pressure(GRHydro_polytrope_handle, 1.d0, 1.d0) / &
       EOS_SpecificIntEnergy(GRHydro_polytrope_handle, 1.d0, 1.d0)

  local_K = EOS_Pressure(GRHydro_polytrope_handle, 1.d0, 1.d0)
#endif

  if (abs(local_Gamma - 2.d0) < 1.d-10) then

    rho = -0.5d0/local_k+sqrt(0.25d0/local_k**2+(rho+initial_k*rho**2)/local_k)

  else if (abs(local_Gamma - 3.d0) < 1.d-10) then

!!$ This code is probably just wrong. We have never used it anyway.
    Q = -9.d0 * local_k**2 * rho * (2.d0 + 3.d0 * initial_k * rho**2) + &
         sqrt(local_k**3 * (32.d0 + 81.d0 * local_k * rho**2 * &
         (2.d0 + 3.d0 * initial_k * rho**2)**2))
    
    Q = Q**(1.d0/3.d0)
    
    rho = (2**(7.d0/3.d0) * local_k - 2**(2.d0/3.d0) * Q**2) / &
         (6.d0 * local_k * Q)

  else
    call CCTK_WARN(0, "EoSChangeK only knows how to do Gamma=2 or 3!")
  end if
  
  press = local_k * rho**local_gamma
  eps = (local_gamma - 1.d0) * local_k * rho**local_gamma

  call Primitive2ConservativePolyCells(CCTK_ARGUMENTS)

end subroutine GRHydro_EoSChangeK



 /*@@
   @routine    GRHydro_EoSChangeGammaK_Shibata
   @date       Jan. 2005
   @author     Christian D. Ott
   @desc 
   Reset the hydro variables when K and Gamma are changed.

   This is according to Shibata in astro-ph/0412243 (PRD71 024014) in
   which he switches K and Gamma after initial data setup,
   but keeps the internal energy constant.

   Note: this works only with one refinement level

   @enddesc 
   @calls     
   @calledby   
   @history 
 
   @endhistory 

@@*/

subroutine GRHydro_EoSChangeGammaK_Shibata(CCTK_ARGUMENTS)

#if USE_EOS_OMNI
  USE EOS_Omni_Module, only: press_gf, inv_rho_gf, poly_k_cgs, rho_gf
#else
  USE EOS_Polytrope_Scalars
#endif

  implicit none

  DECLARE_CCTK_ARGUMENTS
  DECLARE_CCTK_PARAMETERS

  CCTK_INT :: i, j, k
  CCTK_REAL :: det
  
  CCTK_REAL :: local_Gamma, local_k, eos_k_initial_cgs

  CCTK_REAL, dimension(cctk_lsh(1),cctk_lsh(2),cctk_lsh(3)) :: Q

  character(len=100) infoline

#include "EOS_Base.inc"

!!$  Set up the fluid constants
#if USE_EOS_OMNI
! begin EOS Omni vars
  integer :: n = 1
  integer :: poly_eoskey = 0
  integer :: keytemp = 0
  integer :: anyerr = 0
  integer :: keyerr(1) = 0
  real*8  :: xpress = 0.0d0
  real*8  :: xeps = 0.0d0
  real*8  :: xtemp = 0.0d0
  real*8  :: xye = 0.0d0
  poly_eoskey = GRHydro_poly_eoskey
! end EOS Omni vars
  call EOS_Omni_press(poly_eoskey,keytemp,n,&
       1.0d0,1.0d0,xtemp,xye,xpress,keyerr,anyerr)
  
  call EOS_Omni_EpsFromPress(poly_eoskey,keytemp,n,&
       1.0d0,1.0d0,xtemp,xye,xpress,xeps,keyerr,anyerr)

  local_Gamma = 1.0d0 + xpress/xeps
  local_K    = xpress

  eos_k_initial_cgs = initial_k * rho_gf**initial_Gamma / press_gf

  press = (local_Gamma - 1.d0) / (initial_Gamma - 1.0d0 ) * press_gf * eos_k_initial_cgs * &
  	     (rho * rho_gf) ** initial_Gamma

  eps = press_gf * eos_k_initial_cgs * & 
     (rho * inv_rho_gf) ** initial_Gamma / &
     (rho * (initial_Gamma - 1.0d0))

#else

  call CCTK_INFO("Pulling the rug...by changing K and Gamma")

  local_Gamma = 1.d0 + EOS_Pressure(GRHydro_polytrope_handle, 1.d0, 1.d0) / &
       EOS_SpecificIntEnergy(GRHydro_polytrope_handle, 1.d0, 1.d0)

  local_K = EOS_Pressure(GRHydro_polytrope_handle, 1.d0, 1.d0)

  eos_k_initial_cgs = initial_k * rho_geom_factor**initial_Gamma / p_geom_factor

  press = (local_Gamma - 1.d0) / (initial_Gamma - 1.0d0 ) * p_geom_factor * eos_k_initial_cgs * &
  	     (rho * rho_geom_factor_inv) ** initial_Gamma

  eps = p_geom_factor * eos_k_initial_cgs * & 
     (rho * rho_geom_factor_inv) ** initial_Gamma / &
     (rho * (initial_Gamma - 1.0d0))

#endif

  do k = 1, cctk_lsh(3)
    do j = 1, cctk_lsh(2)
      do i = 1, cctk_lsh(1)
        
        call SpatialDeterminant(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)
        call prim2con(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),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 do
    end do
  end do


end subroutine GRHydro_EoSChangeGammaK_Shibata