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/*@@
@file EOS_GeneralHybrid.F90
@date
@author Ian Hawke, Christian D. Ott
@desc
Routines to calculate the EOS used by Dimmelmeier et al.
in supernova core collapse simulations.
@enddesc
@@*/
#include "cctk.h"
#include "cctk_Parameters.h"
subroutine EOS_GeneralHybrid_Pressure(nelems, rho, eps, press)
USE EOS_GP_Scalars
USE EOS_GeneralHybrid_Scalars
implicit none
DECLARE_CCTK_PARAMETERS
CCTK_INT, intent(in) :: nelems
CCTK_REAL, dimension(nelems), intent(in) :: rho
CCTK_REAL, dimension(nelems), intent(in) :: eps
CCTK_REAL, dimension(nelems), intent(out) :: press
CCTK_REAL, allocatable, dimension(:) :: p_poly
CCTK_REAL, allocatable, dimension(:) :: p_th
CCTK_REAL, allocatable, dimension(:) :: local_eos_gamma
CCTK_REAL, allocatable, dimension(:) :: local_eos_k_cgs
CCTK_REAL zero
allocate(p_poly(1:nelems))
allocate(p_th(1:nelems))
allocate(local_eos_gamma(1:nelems))
allocate(local_eos_k_cgs(1:nelems))
zero = 0.d0
where (rho > rho_nuc)
local_eos_gamma = eos_gamma_supernuclear
local_eos_k_cgs = eos_k_supernuclear_cgs
elsewhere
local_eos_gamma = eos_gamma
local_eos_k_cgs = eos_k_cgs
end where
p_poly = p_geom_factor * local_eos_k_cgs * &
(rho * rho_geom_factor_inv)**local_eos_gamma
p_th = - p_geom_factor * local_eos_k_cgs * (eos_gamma_th - 1.d0) / &
(local_eos_gamma - 1.d0) * (rho * rho_geom_factor_inv)**local_eos_gamma + &
(eos_gamma_th - 1.d0) * rho * eps - &
(eos_gamma_th - 1.d0) * (local_eos_gamma - eos_gamma) / &
(eos_gamma - 1.d0) / (eos_gamma_supernuclear - 1.d0) * &
p_geom_factor * eos_k_cgs * rho_geom_factor_inv**eos_gamma * &
rho_nuc**(eos_gamma - 1.d0) * rho
p_th = max(zero, p_th)
press = p_poly + p_th
deallocate(p_poly)
deallocate(p_th)
deallocate(local_eos_gamma)
deallocate(local_eos_k_cgs)
end subroutine EOS_GeneralHybrid_Pressure
subroutine EOS_GeneralHybrid_DPDRho(nelems, rho, eps, dpdrho)
USE EOS_GP_Scalars
USE EOS_GeneralHybrid_Scalars
implicit none
DECLARE_CCTK_PARAMETERS
CCTK_INT, intent(in) :: nelems
CCTK_REAL, dimension(nelems), intent(in) :: rho
CCTK_REAL, dimension(nelems), intent(in) :: eps
CCTK_REAL, dimension(nelems), intent(out) :: dpdrho
CCTK_REAL, allocatable,dimension(:) :: d_p_poly
CCTK_REAL, allocatable,dimension(:) :: d_p_th_1
CCTK_REAL, allocatable,dimension(:) :: d_p_th_2
CCTK_REAL, allocatable,dimension(:) :: local_eos_gamma
CCTK_REAL, allocatable,dimension(:) :: local_eos_k_cgs
CCTK_REAL zero
allocate(d_p_poly(1:nelems))
allocate(d_p_th_1(1:nelems))
allocate(d_p_th_2(1:nelems))
allocate(local_eos_gamma(1:nelems))
allocate(local_eos_k_cgs(1:nelems))
zero = 0.d0
where (rho > rho_nuc)
local_eos_gamma = eos_gamma_supernuclear
local_eos_k_cgs = eos_k_supernuclear_cgs
elsewhere
local_eos_gamma = eos_gamma
local_eos_k_cgs = eos_k_cgs
end where
d_p_poly = local_eos_gamma * p_geom_factor * local_eos_k_cgs * &
rho**(local_eos_gamma - 1.d0) * rho_geom_factor_inv**local_eos_gamma
d_p_th_1 = - local_eos_gamma * p_geom_factor * local_eos_k_cgs * &
(eos_gamma_th - 1.d0) / (local_eos_gamma - 1.d0) * &
rho**(local_eos_gamma - 1.d0) * rho_geom_factor_inv**local_eos_gamma
d_p_th_2 = (eos_gamma_th - 1.d0) * eps &
- (eos_gamma_th - 1.d0) * (local_eos_gamma - eos_gamma) / &
(eos_gamma - 1.d0) / (eos_gamma_supernuclear - 1.d0) * &
p_geom_factor * eos_k_cgs * rho_geom_factor_inv**eos_gamma * &
rho_nuc**(eos_gamma - 1.d0)
! d_p_th_1 = max(d_p_th_1, zero)
! d_p_th_2 = max(d_p_th_2, zero)
dpdrho = d_p_poly + d_p_th_1 + d_p_th_2
deallocate(d_p_poly)
deallocate(d_p_th_1)
deallocate(d_p_th_2)
deallocate(local_eos_gamma)
deallocate(local_eos_k_cgs)
end subroutine EOS_GeneralHybrid_DPDRho
subroutine EOS_GeneralHybrid_cs2(nelems, rho, eps, cs2)
! This is an ugly and quick hack.
! Uses way to many operations and memory.
USE EOS_GP_Scalars
USE EOS_GeneralHybrid_Scalars
implicit none
DECLARE_CCTK_PARAMETERS
CCTK_INT, intent(in) :: nelems
CCTK_REAL, dimension(nelems), intent(in) :: rho
CCTK_REAL, dimension(nelems), intent(in) :: eps
CCTK_REAL, dimension(nelems), intent(out) :: cs2
CCTK_REAL, allocatable,dimension(:) :: p_poly
CCTK_REAL, allocatable,dimension(:) :: p_th
CCTK_REAL, allocatable,dimension(:) :: pressure
CCTK_REAL, allocatable,dimension(:) :: local_eos_gamma
CCTK_REAL, allocatable,dimension(:) :: local_eos_k_cgs
CCTK_REAL zero
allocate(p_poly(1:nelems))
allocate(p_th(1:nelems))
allocate(pressure(1:nelems))
allocate(local_eos_gamma(1:nelems))
allocate(local_eos_k_cgs(1:nelems))
zero = 0.d0
where (rho > rho_nuc)
local_eos_gamma = eos_gamma_supernuclear
local_eos_k_cgs = eos_k_supernuclear_cgs
elsewhere
local_eos_gamma = eos_gamma
local_eos_k_cgs = eos_k_cgs
end where
! First calculate the pressure
p_poly = p_geom_factor * local_eos_k_cgs * &
(rho * rho_geom_factor_inv)**local_eos_gamma
p_th = - p_geom_factor * local_eos_k_cgs * (eos_gamma_th - 1.d0) / &
(local_eos_gamma - 1.d0) * (rho * rho_geom_factor_inv)**local_eos_gamma + &
(eos_gamma_th - 1.d0) * rho * eps - &
(eos_gamma_th - 1.d0) * (local_eos_gamma - eos_gamma) / &
(eos_gamma - 1.d0) / (eos_gamma_supernuclear - 1.d0) * &
p_geom_factor * eos_k_cgs * rho_geom_factor_inv**eos_gamma * &
rho_nuc**(eos_gamma - 1.d0) * rho
pressure = p_poly + p_th
p_th = max(zero, p_th)
! This may look incorrect; It's in Harry's code; in his thesis and I worked it out as well.
! Should be okay...
cs2 = (local_eos_gamma * p_poly + eos_gamma_th * p_th) / &
rho / (1.0d0 + eps + pressure/rho)
deallocate(pressure)
deallocate(p_poly)
deallocate(p_th)
deallocate(local_eos_gamma)
deallocate(local_eos_k_cgs)
end subroutine EOS_GeneralHybrid_cs2
subroutine EOS_GeneralHybrid_DPDIE(nelems, rho, eps, dpdie)
USE EOS_GP_Scalars
USE EOS_GeneralHybrid_Scalars
implicit none
DECLARE_CCTK_PARAMETERS
CCTK_INT, intent(in) :: nelems
CCTK_REAL, dimension(nelems), intent(in) :: rho
CCTK_REAL, dimension(nelems), intent(in) :: eps
CCTK_REAL, dimension(nelems), intent(out) :: dpdie
dpdie = (eos_gamma_th - 1.d0) * rho
end subroutine EOS_GeneralHybrid_DPDIE
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