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#include "cctk.h"
#include "cctk_Parameters.h"
#include "cctk_Arguments.h"
#include "cctk_Functions.h"
! eoskey:
! 1 --- polytropic EOS
! 2 --- gamma-law EOS
! 3 --- hybrid EOS
! 4 --- finite-T microphysical NSE EOS
subroutine EOS_Omni_EOS_Press(eoskey,keytemp,rf_precision,npoints,&
rho,eps,temp,ye,press,keyerr,anyerr)
use EOS_Omni_Module
implicit none
DECLARE_CCTK_PARAMETERS
CCTK_INT, intent(in) :: eoskey,keytemp,npoints
CCTK_INT, intent(out) :: keyerr(npoints)
CCTK_INT, intent(out) :: anyerr
CCTK_REAL, intent(in) :: rf_precision
CCTK_REAL, intent(in) :: rho(npoints),ye(npoints)
CCTK_REAL, intent(inout) :: eps(npoints), temp(npoints)
CCTK_REAL, intent(out) :: press(npoints)
! local vars
integer :: i
character(256) :: warnstring
real*8 :: hybrid_local_gamma, hybrid_local_k_cgs, &
hybrid_p_poly, hybrid_p_th
real*8,parameter :: zero = 0.0d0
anyerr = 0
keyerr(:) = 0
select case (eoskey)
case (1)
! polytropic EOS
if(keytemp.eq.1) then
do i=1,npoints
eps(i) = press_gf * poly_k_cgs * &
(rho(i)*inv_rho_gf)**(poly_gamma) / &
(poly_gamma - 1.0d0) / rho(i)
enddo
endif
do i=1,npoints
press(i) = press_gf * poly_k_cgs * &
(rho(i)*inv_rho_gf)**poly_gamma
enddo
case (2)
! gamma-law EOS
if(keytemp.eq.1) then
do i=1,npoints
eps(i) = press_gf * gl_k_cgs * &
(rho(i)*inv_rho_gf)**(gl_gamma) / &
(gl_gamma - 1.0d0) / rho(i)
enddo
endif
do i=1,npoints
press(i) = (gl_gamma - 1.0d0) * rho(i) * eps(i)
enddo
case (3)
! hybrid EOS
do i=1,npoints
if(rho(i).gt.hybrid_rho_nuc) then
hybrid_local_gamma = hybrid_gamma2
hybrid_local_k_cgs = hybrid_k2_cgs
else
hybrid_local_gamma = hybrid_gamma1
hybrid_local_k_cgs = hybrid_k1_cgs
endif
hybrid_p_poly = press_gf * hybrid_local_k_cgs * &
(rho(i) * inv_rho_gf)**hybrid_local_gamma
hybrid_p_th = - press_gf * hybrid_local_k_cgs * (hybrid_gamma_th - 1.d0) / &
(hybrid_local_gamma - 1.0d0) * (rho(i) * inv_rho_gf)**hybrid_local_gamma + &
(hybrid_gamma_th - 1.0d0) * rho(i) * eps(i) - &
(hybrid_gamma_th - 1.d0) * (hybrid_local_gamma - hybrid_gamma1) / &
(hybrid_gamma1 - 1.d0) / (hybrid_gamma2 - 1.d0) * &
press_gf * hybrid_k1_cgs * inv_rho_gf**hybrid_gamma1 * &
hybrid_rho_nuc**(hybrid_gamma1 - 1.d0) * rho(i)
hybrid_p_th = max(zero, hybrid_p_th)
press(i) = hybrid_p_poly + hybrid_p_th
enddo
case DEFAULT
write(warnstring,*) "eoskey ",eoskey," not implemented!"
call CCTK_WARN(0,warnstring)
end select
end subroutine EOS_Omni_EOS_Press
subroutine EOS_Omni_EOS_DPressByDRho(eoskey,keytemp,rf_precision,npoints,&
rho,eps,temp,ye,dpdrhoe,keyerr,anyerr)
use EOS_Omni_Module
implicit none
DECLARE_CCTK_PARAMETERS
CCTK_INT, intent(in) :: eoskey,keytemp,npoints
CCTK_INT, intent(out) :: keyerr(npoints)
CCTK_INT, intent(out) :: anyerr
CCTK_REAL, intent(in) :: rf_precision
CCTK_REAL, intent(in) :: rho(npoints),ye(npoints)
CCTK_REAL, intent(inout) :: eps(npoints), temp(npoints)
CCTK_REAL, intent(out) :: dpdrhoe(npoints)
! local vars
integer :: i
character(256) :: warnstring
real*8 :: hybrid_local_gamma, hybrid_local_k_cgs, &
hybrid_dp_poly, hybrid_dp_th1, hybrid_dp_th2
real*8,parameter :: zero = 0.0d0
anyerr = 0
keyerr(:) = 0
select case (eoskey)
case (1)
! polytropic EOS
if(keytemp.eq.1) then
do i=1,npoints
eps(i) = press_gf * poly_k_cgs * &
(rho(i)*inv_rho_gf)**(poly_gamma) / &
(poly_gamma - 1.0d0) / rho(i)
enddo
endif
do i=1,npoints
dpdrhoe(i) = press_gf * poly_k_cgs * &
poly_gamma * inv_rho_gf * &
(rho(i)*inv_rho_gf) ** (poly_gamma - 1.d0)
enddo
case (2)
! gamma-law EOS
if(keytemp.eq.1) then
do i=1,npoints
eps(i) = press_gf * gl_k_cgs * &
(rho(i)*inv_rho_gf)**(gl_gamma) / &
(gl_gamma - 1.0d0) / rho(i)
enddo
endif
do i=1,npoints
dpdrhoe(i) = (gl_gamma-1.0d0) * &
eps(i)
enddo
case (3)
! hybrid EOS
do i=1,npoints
if(rho(i).gt.hybrid_rho_nuc) then
hybrid_local_gamma = hybrid_gamma2
hybrid_local_k_cgs = hybrid_k2_cgs
else
hybrid_local_gamma = hybrid_gamma1
hybrid_local_k_cgs = hybrid_k1_cgs
endif
hybrid_dp_poly = hybrid_local_gamma * press_gf * &
hybrid_local_k_cgs * rho(i)**(hybrid_local_gamma - 1.0d0) * &
inv_rho_gf**hybrid_local_gamma
hybrid_dp_th1 = - hybrid_local_gamma * press_gf * hybrid_local_k_cgs * &
(hybrid_gamma_th - 1.d0) / (hybrid_local_gamma - 1.d0) * &
rho(i)**(hybrid_local_gamma - 1.d0) * inv_rho_gf**hybrid_local_gamma
hybrid_dp_th2 = (hybrid_gamma_th - 1.d0) * eps(i) &
- (hybrid_gamma_th - 1.d0) * (hybrid_local_gamma - hybrid_gamma1) / &
(hybrid_gamma1 - 1.d0) / (hybrid_gamma2 - 1.d0) * &
press_gf * hybrid_k1_cgs * inv_rho_gf**hybrid_gamma1 * &
hybrid_rho_nuc**(hybrid_gamma1 - 1.d0)
dpdrhoe(i) = hybrid_dp_poly + hybrid_dp_th1 + hybrid_dp_th2
enddo
case DEFAULT
write(warnstring,*) "eoskey ",eoskey," not implemented!"
call CCTK_WARN(0,warnstring)
end select
end subroutine EOS_Omni_EOS_DPressByDRho
subroutine EOS_Omni_EOS_DPressByDEps(eoskey,keytemp,rf_precision,npoints,&
rho,eps,temp,ye,dpdepsrho,keyerr,anyerr)
use EOS_Omni_Module
implicit none
DECLARE_CCTK_PARAMETERS
CCTK_INT, intent(in) :: eoskey,keytemp,npoints
CCTK_INT, intent(out) :: keyerr(npoints)
CCTK_INT, intent(out) :: anyerr
CCTK_REAL, intent(in) :: rf_precision
CCTK_REAL, intent(in) :: rho(npoints),ye(npoints)
CCTK_REAL, intent(inout) :: eps(npoints), temp(npoints)
CCTK_REAL, intent(out) :: dpdepsrho(npoints)
! local vars
integer :: i
character(256) :: warnstring
anyerr = 0
keyerr(:) = 0
select case (eoskey)
case (1)
! polytropic EOS
if(keytemp.eq.1) then
do i=1,npoints
eps(i) = press_gf * poly_k_cgs * &
(rho(i)*inv_rho_gf)**(poly_gamma) / &
(poly_gamma - 1.0d0) / rho(i)
enddo
endif
do i=1,npoints
dpdepsrho(i) = 0.0d0
enddo
case (2)
! gamma-law EOS
if(keytemp.eq.1) then
do i=1,npoints
eps(i) = press_gf * gl_k_cgs * &
(rho(i)*inv_rho_gf)**(gl_gamma) / &
(gl_gamma - 1.0d0) / rho(i)
enddo
endif
do i=1,npoints
dpdepsrho(i) = (gl_gamma - 1.0d0) * &
rho(i)
enddo
case (3)
! hybrid EOS
do i=1,npoints
dpdepsrho(i) = (hybrid_gamma_th - 1.0d0) * rho(i)
enddo
case DEFAULT
write(warnstring,*) "eoskey ",eoskey," not implemented!"
call CCTK_WARN(0,warnstring)
end select
end subroutine EOS_Omni_EOS_DPressByDEps
subroutine EOS_Omni_EOS_cs2(eoskey,keytemp,rf_precision,npoints,&
rho,eps,temp,ye,cs2,keyerr,anyerr)
use EOS_Omni_Module
implicit none
DECLARE_CCTK_PARAMETERS
CCTK_INT, intent(in) :: eoskey,keytemp,npoints
CCTK_INT, intent(out) :: keyerr(npoints)
CCTK_INT, intent(out) :: anyerr
CCTK_REAL, intent(in) :: rf_precision
CCTK_REAL, intent(in) :: rho(npoints),ye(npoints)
CCTK_REAL, intent(inout) :: eps(npoints), temp(npoints)
CCTK_REAL, intent(out) :: cs2(npoints)
! local vars
integer :: i
character(256) :: warnstring
real*8 :: xpress,xdpdrhoe,xdpderho
real*8 :: hybrid_local_gamma, hybrid_local_k_cgs, &
hybrid_p_poly, hybrid_p_th
real*8,parameter :: zero = 0.0d0
anyerr = 0
keyerr(:) = 0
select case (eoskey)
case (1)
! polytropic EOS
if(keytemp.eq.1) then
do i=1,npoints
eps(i) = press_gf * poly_k_cgs * &
(rho(i)*inv_rho_gf)**(poly_gamma) / &
(poly_gamma - 1.0d0) / rho(i)
enddo
endif
do i=1,npoints
xpress = press_gf*poly_k_cgs * &
(rho(i)*inv_rho_gf)**(poly_gamma)
cs2(i) = poly_gamma * xpress / rho(i) / &
(1 + eps(i) + xpress/rho(i))
enddo
case (2)
! gamma-law EOS
if(keytemp.eq.1) then
do i=1,npoints
eps(i) = press_gf * gl_k_cgs * &
(rho(i)*inv_rho_gf)**(gl_gamma) / &
(gl_gamma - 1.0d0) / rho(i)
enddo
endif
do i=1,npoints
xpress = (gl_gamma-1.0d0)*rho(i)*eps(i)
xdpdrhoe = (gl_gamma-1.0d0)*eps(i)
xdpderho = (gl_gamma-1.0d0)*rho(i)
cs2(i) = (xdpdrhoe + xpress * xdpderho / (rho(i)**2)) / &
(1.0d0 + eps(i) + xpress/rho(i))
enddo
case(3)
! hybrid EOS
do i=1,npoints
if(rho(i).gt.hybrid_rho_nuc) then
hybrid_local_gamma = hybrid_gamma2
hybrid_local_k_cgs = hybrid_k2_cgs
else
hybrid_local_gamma = hybrid_gamma1
hybrid_local_k_cgs = hybrid_k1_cgs
endif
! first calculate the pressure
hybrid_p_poly = press_gf * hybrid_local_k_cgs * &
(rho(i) * inv_rho_gf)**hybrid_local_gamma
hybrid_p_th = - press_gf * hybrid_local_k_cgs * (hybrid_gamma_th - 1.d0) / &
(hybrid_local_gamma - 1.0d0) * (rho(i) * inv_rho_gf)**hybrid_local_gamma + &
(hybrid_gamma_th - 1.0d0) * rho(i) * eps(i) - &
(hybrid_gamma_th - 1.d0) * (hybrid_local_gamma - hybrid_gamma1) / &
(hybrid_gamma1 - 1.d0) / (hybrid_gamma2 - 1.d0) * &
press_gf * hybrid_k1_cgs * inv_rho_gf**hybrid_gamma1 * &
hybrid_rho_nuc**(hybrid_gamma1 - 1.d0) * rho(i)
hybrid_p_th = max(zero, hybrid_p_th)
xpress = hybrid_p_poly + hybrid_p_th
cs2(i) = (hybrid_local_gamma * hybrid_p_poly + hybrid_gamma_th * hybrid_p_th) / &
rho(i) / (1.0d0 + eps(i) + xpress/rho(i))
enddo
case DEFAULT
write(warnstring,*) "eoskey ",eoskey," not implemented!"
call CCTK_WARN(0,warnstring)
end select
end subroutine EOS_Omni_EOS_cs2
subroutine EOS_Omni_EOS_eps_from_press(eoskey,keytemp,rf_precision,npoints,&
rho,eps,temp,ye,press,xeps,keyerr,anyerr)
use EOS_Omni_Module
implicit none
DECLARE_CCTK_PARAMETERS
CCTK_INT, intent(in) :: eoskey,keytemp,npoints
CCTK_INT, intent(out) :: keyerr(npoints)
CCTK_INT, intent(out) :: anyerr
CCTK_REAL, intent(in) :: rf_precision
CCTK_REAL, intent(in) :: rho(npoints),ye(npoints),press(npoints)
CCTK_REAL, intent(inout) :: eps(npoints), temp(npoints)
CCTK_REAL, intent(out) :: xeps(npoints)
! local vars
integer :: i
character(256) :: warnstring
if(keytemp.eq.1) then
anyerr = 1
keyerr(:) = -1
else
anyerr = 0
keyerr(:) = 0
endif
select case (eoskey)
case (1)
! polytropic EOS
do i=1,npoints
xeps(i) = press(i) / (poly_gamma - 1.0d0) / rho(i)
enddo
case (2)
! gamma-law EOS
do i=1,npoints
xeps(i) = press(i) / (gl_gamma - 1.0d0) / rho(i)
enddo
case (3)
! hybrid EOS
write(warnstring,*) "EOS_Omni_EpsFromPress call not supported for hybrid EOS"
call CCTK_WARN(0,warnstring)
case DEFAULT
write(warnstring,*) "eoskey ",eoskey," not implemented!"
call CCTK_WARN(0,warnstring)
end select
end subroutine EOS_Omni_EOS_eps_from_press
subroutine EOS_Omni_EOS_RestMassDensityFromEpsPress(eoskey,keytemp,rf_precision,&
npoints,rho,eps,temp,ye,press,keyerr,anyerr)
use EOS_Omni_Module
implicit none
DECLARE_CCTK_PARAMETERS
CCTK_INT, intent(in) :: eoskey,keytemp,npoints
CCTK_INT, intent(out) :: keyerr(npoints)
CCTK_INT, intent(out) :: anyerr
CCTK_REAL, intent(in) :: rf_precision
CCTK_REAL, intent(in) :: ye(npoints),press(npoints),eps(npoints)
CCTK_REAL, intent(inout) :: rho(npoints),temp(npoints)
! local vars
integer :: i
character(256) :: warnstring
if(keytemp.eq.1) then
anyerr = 1
keyerr(:) = -1
else
anyerr = 0
keyerr(:) = 0
endif
select case (eoskey)
case (1)
! polytropic EOS
do i=1,npoints
rho(i) = press(i) / ((poly_gamma - 1.0d0)*eps(i))
enddo
case (2)
! gamma-law EOS
do i=1,npoints
rho(i) = press(i) / ((gl_gamma - 1.0d0)*eps(i))
enddo
case (3)
! hybrid EOS
write(warnstring,*) "EOS_Omni_RestMassDensityFromEpsPress not supported for hybrid EOS"
call CCTK_WARN(0,warnstring)
case DEFAULT
write(warnstring,*) "eoskey ",eoskey," not implemented!"
call CCTK_WARN(0,warnstring)
end select
end subroutine EOS_Omni_EOS_RestMassDensityFromEpsPress
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