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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, &
hybrid_p_poly, hybrid_p_th
real*8,parameter :: zero = 0.0d0
! temporary vars for nuc_eos
real*8 :: xrho,xye,xtemp,xenr,xent
real*8 :: xprs,xmunu,xcs2
real*8 :: xdedt,xdpderho,xdpdrhoe
! temporary vars for coldeos + gamma law
integer :: ir
real*8 :: press_cold, press_th
real*8 :: eps_cold, eps_th
real*8 :: gamma
anyerr = 0
keyerr(:) = 0
select case (eoskey)
case (1)
! polytropic EOS
if(keytemp.eq.1) then
do i=1,npoints
eps(i) = poly_k * &
rho(i)**(poly_gamma) / &
(poly_gamma - 1.0d0) / rho(i)
enddo
endif
do i=1,npoints
press(i) = poly_k * &
rho(i)**poly_gamma
enddo
case (2)
! gamma-law EOS
if(keytemp.eq.1) then
do i=1,npoints
eps(i) = gl_k * &
rho(i)**(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 = hybrid_k2
else
hybrid_local_gamma = hybrid_gamma1
hybrid_local_k = hybrid_k1
endif
hybrid_p_poly = hybrid_local_k * &
rho(i)**hybrid_local_gamma
hybrid_p_th = - hybrid_local_k * (hybrid_gamma_th - 1.d0) / &
(hybrid_local_gamma - 1.0d0) * rho(i)**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) * &
hybrid_k1 * &
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 (4)
! nuc eos
do i=1,npoints
xrho = rho(i) * inv_rho_gf
xtemp = temp(i)
xye = ye(i)
xenr = eps(i) * inv_eps_gf
call nuc_eos_press_eps(xrho,xtemp,xye,xenr,xprs,&
keytemp,keyerr(i),rf_precision)
if(keyerr(i).ne.0) then
anyerr = 1
endif
if(keytemp.eq.1) then
eps(i) = xenr * eps_gf
else
temp(i) = xtemp
endif
press(i) = xprs * press_gf
enddo
case (5)
! cold tabular EOS with gamma law
do i=1,npoints
if(rho(i).lt.coldeos_rhomin) then
keyerr(i) = 104
anyerr = 1
else if(rho(i).gt.coldeos_rhomax) then
keyerr(i) = 103
anyerr = 1
else
xrho = log10(rho(i))
ir = 2 + INT( (xrho - coldeos_logrho(1) - 1.0d-10) * coldeos_dlrhoi )
endif
ir = max(2, min(ir,coldeos_nrho))
gamma = (coldeos_gamma(ir) - coldeos_gamma(ir-1)) / &
(coldeos_logrho(ir) - coldeos_logrho(ir-1)) * &
(xrho - coldeos_logrho(ir-1)) + coldeos_gamma(ir-1)
eps_cold = (coldeos_eps(ir) - coldeos_eps(ir-1)) / &
(coldeos_logrho(ir) - coldeos_logrho(ir-1)) * &
(xrho - coldeos_logrho(ir-1)) + coldeos_eps(ir-1)
if(keytemp.eq.0) then
eps_th = max(0.0d0,eps(i) - eps_cold)
else if (keytemp.eq.1) then
eps_th = 0.0d0
eps(i) = eps_cold
endif
press_cold = coldeos_kappa * rho(i)**gamma
press_th = coldeos_thfac*(coldeos_gammath - 1.0d0)*rho(i)*eps_th
press(i) = press_cold !+ press_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, &
hybrid_dp_poly, hybrid_dp_th1, hybrid_dp_th2
real*8,parameter :: zero = 0.0d0
! temporary vars for nuc_eos
real*8 :: xrho,xye,xtemp,xenr,xent
real*8 :: xprs,xmunu,xcs2
real*8 :: xdedt,xdpderho,xdpdrhoe
! temporary vars for cold tabulated EOS + gamma law
integer :: ir
real*8 :: press_cold, press_th
real*8 :: eps_cold, eps_th
real*8 :: gamma, cs2, h
anyerr = 0
keyerr(:) = 0
select case (eoskey)
case (1)
! polytropic EOS
if(keytemp.eq.1) then
do i=1,npoints
eps(i) = poly_k * &
rho(i)**(poly_gamma) / &
(poly_gamma - 1.0d0) / rho(i)
enddo
endif
do i=1,npoints
dpdrhoe(i) = poly_k * &
poly_gamma * &
rho(i) ** (poly_gamma - 1.d0)
enddo
case (2)
! gamma-law EOS
if(keytemp.eq.1) then
do i=1,npoints
eps(i) = gl_k * &
rho(i)**(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 = hybrid_k2
else
hybrid_local_gamma = hybrid_gamma1
hybrid_local_k = hybrid_k1
endif
hybrid_dp_poly = hybrid_local_gamma * &
hybrid_local_k * rho(i)**(hybrid_local_gamma - 1.0d0)
hybrid_dp_th1 = - hybrid_local_gamma * hybrid_local_k * &
(hybrid_gamma_th - 1.d0) / (hybrid_local_gamma - 1.d0) * &
rho(i)**(hybrid_local_gamma - 1.d0)
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) * &
hybrid_k1 * &
hybrid_rho_nuc**(hybrid_gamma1 - 1.d0)
dpdrhoe(i) = hybrid_dp_poly + max(0.0d0,hybrid_dp_th1 + hybrid_dp_th2)
enddo
case (4)
do i=1,npoints
xrho = rho(i) * inv_rho_gf
xtemp = temp(i)
xye = ye(i)
xenr = eps(i) * inv_eps_gf
call nuc_eos_short(xrho,xtemp,xye,xenr,xprs,&
xent,xcs2,xdedt,xdpderho,xdpdrhoe,xmunu,&
keytemp,keyerr(i),rf_precision)
if(keyerr(i).ne.0) then
anyerr = 1
endif
if(keytemp.eq.1) then
eps(i) = xenr * eps_gf
else
temp(i) = xtemp
endif
dpdrhoe(i) = xdpdrhoe * press_gf * inv_rho_gf
enddo
case (5)
! with the cold eos we have to assume P = P(rho), so
! by definition dPdrho is at constant internal energy
! and entropy (the latter, because T=0)
do i=1,npoints
if(rho(i).lt.coldeos_rhomin) then
keyerr(i) = 104
anyerr = 1
else if(rho(i).gt.coldeos_rhomax) then
keyerr(i) = 103
anyerr = 1
else
xrho = log10(rho(i))
ir = 2 + INT( (xrho - coldeos_logrho(1) - 1.0d-10) * coldeos_dlrhoi )
endif
ir = max(2, min(ir,coldeos_nrho))
gamma = (coldeos_gamma(ir) - coldeos_gamma(ir-1)) / &
(coldeos_logrho(ir) - coldeos_logrho(ir-1)) * &
(xrho - coldeos_logrho(ir-1)) + coldeos_gamma(ir-1)
! this is the cold speed of sound squared
cs2 = (coldeos_cs2(ir) - coldeos_cs2(ir-1)) / &
(coldeos_cs2(ir) - coldeos_cs2(ir-1)) * &
(xrho - coldeos_logrho(ir-1)) + coldeos_cs2(ir-1)
eps_cold = (coldeos_eps(ir) - coldeos_eps(ir-1)) / &
(coldeos_logrho(ir) - coldeos_logrho(ir-1)) * &
(xrho - coldeos_logrho(ir-1)) + coldeos_eps(ir-1)
if(keytemp.eq.0) then
eps_th = max(0.0d0,eps(i) - eps_cold)
else if (keytemp.eq.1) then
eps_th = 0.0d0
eps(i) = eps_cold
endif
press_cold = coldeos_kappa * rho(i)**gamma
press_th = coldeos_thfac*(coldeos_gammath - 1.0d0)*rho(i)*eps_th
! this is the cold enthalpy, because it belongs to the
! cold speed of sound squared
h = 1.0d0 + eps_cold + press_cold / rho(i)
dpdrhoe(i) = cs2*h + press_th / rho(i)
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
! temporary vars for nuc_eos
real*8 :: xrho,xye,xtemp,xenr,xent
real*8 :: xprs,xmunu,xcs2
real*8 :: xdedt,xdpderho,xdpdrhoe
! temporary vars for coldeos + gamma law
integer :: ir
real*8 :: eps_cold, eps_th
anyerr = 0
keyerr(:) = 0
select case (eoskey)
case (1)
! polytropic EOS
if(keytemp.eq.1) then
do i=1,npoints
eps(i) = poly_k * &
rho(i)**(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) = gl_k * &
rho(i)**(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 (4)
! nuc_eos
do i=1,npoints
xrho = rho(i) * inv_rho_gf
xtemp = temp(i)
xye = ye(i)
xenr = eps(i) * inv_eps_gf
call nuc_eos_short(xrho,xtemp,xye,xenr,xprs,&
xent,xcs2,xdedt,xdpderho,xdpdrhoe,xmunu,&
keytemp,keyerr(i),rf_precision)
if(keyerr(i).ne.0) then
anyerr = 1
endif
if(keytemp.eq.1) then
eps(i) = xenr * eps_gf
else
temp(i) = xtemp
endif
dpdepsrho(i) = xdpderho * press_gf * inv_eps_gf
enddo
case (5)
! with the cold eos we have to assume P = P(rho), so
! only the gamma law has non-zero dPdeps
do i=1,npoints
if(rho(i).lt.coldeos_rhomin) then
keyerr(i) = 104
anyerr = 1
else if(rho(i).gt.coldeos_rhomax) then
keyerr(i) = 103
anyerr = 1
else
xrho = log10(rho(i))
ir = 2 + INT( (xrho - coldeos_logrho(1) - 1.0d-10) * coldeos_dlrhoi )
endif
ir = max(2, min(ir,coldeos_nrho))
eps_cold = (coldeos_eps(ir) - coldeos_eps(ir-1)) / &
(coldeos_logrho(ir) - coldeos_logrho(ir-1)) * &
(xrho - coldeos_logrho(ir-1)) + coldeos_eps(ir-1)
if(keytemp.eq.0) then
eps_th = max(0.0d0,eps(i) - eps_cold)
else if (keytemp.eq.1) then
eps_th = 0.0d0
eps(i) = eps_cold
endif
dpdepsrho(i) = coldeos_thfac * (coldeos_gammath - 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, &
hybrid_p_poly, hybrid_p_th
real*8,parameter :: zero = 0.0d0
! temporary vars for nuc_eos
real*8 :: xrho,xye,xtemp,xenr,xent
real*8 :: xprs,xmunu,xcs2
real*8 :: xdedt
! temporary vars for cold tabulated EOS + gamma law
integer :: ir
real*8 :: press_cold, press_th
real*8 :: eps_cold, eps_th
real*8 :: gamma, cs2_cold, cs2_th, h, h_cold
anyerr = 0
keyerr(:) = 0
select case (eoskey)
case (1)
! polytropic EOS
if(keytemp.eq.1) then
do i=1,npoints
eps(i) = poly_k * &
rho(i)**(poly_gamma) / &
(poly_gamma - 1.0d0) / rho(i)
enddo
endif
do i=1,npoints
xpress = poly_k * &
rho(i)**(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) = gl_k * &
rho(i)**(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 = hybrid_k2
else
hybrid_local_gamma = hybrid_gamma1
hybrid_local_k = hybrid_k1
endif
! first calculate the pressure
hybrid_p_poly = hybrid_local_k * &
rho(i)**hybrid_local_gamma
hybrid_p_th = - hybrid_local_k * (hybrid_gamma_th - 1.d0) / &
(hybrid_local_gamma - 1.0d0) * rho(i)**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) * &
hybrid_k1 * &
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(4)
! nuc_eos
do i=1,npoints
xrho = rho(i) * inv_rho_gf
xtemp = temp(i)
xye = ye(i)
xenr = eps(i) * inv_eps_gf
call nuc_eos_short(xrho,xtemp,xye,xenr,xprs,&
xent,xcs2,xdedt,xdpderho,xdpdrhoe,xmunu,&
keytemp,keyerr(i),rf_precision)
if(keyerr(i).ne.0) then
anyerr = 1
endif
if(keytemp.eq.1) then
eps(i) = xenr * eps_gf
else
temp(i) = xtemp
endif
cs2(i) = xcs2 * cliteinv2 / &
(1.0d0 + eps(i) + xprs * press_gf / rho(i))
enddo
case (5)
! with the cold eos we have to assume P = P(rho), so
! by definition dPdrho is at constant internal energy
! and entropy (the latter, because T=0)
do i=1,npoints
if(rho(i).lt.coldeos_rhomin) then
keyerr(i) = 104
anyerr = 1
else if(rho(i).gt.coldeos_rhomax) then
keyerr(i) = 103
anyerr = 1
else
xrho = log10(rho(i))
ir = 2 + INT( (xrho - coldeos_logrho(1) - 1.0d-10) * coldeos_dlrhoi )
endif
ir = max(2, min(ir,coldeos_nrho))
gamma = (coldeos_gamma(ir) - coldeos_gamma(ir-1)) / &
(coldeos_logrho(ir) - coldeos_logrho(ir-1)) * &
(xrho - coldeos_logrho(ir-1)) + coldeos_gamma(ir-1)
! this is the cold speed of sound squared
cs2_cold = (coldeos_cs2(ir) - coldeos_cs2(ir-1)) / &
(coldeos_cs2(ir) - coldeos_cs2(ir-1)) * &
(xrho - coldeos_logrho(ir-1)) + coldeos_cs2(ir-1)
eps_cold = (coldeos_eps(ir) - coldeos_eps(ir-1)) / &
(coldeos_logrho(ir) - coldeos_logrho(ir-1)) * &
(xrho - coldeos_logrho(ir-1)) + coldeos_eps(ir-1)
if(keytemp.eq.0) then
eps_th = max(0.0d0,eps(i) - eps_cold)
else if (keytemp.eq.1) then
eps_th = 0.0d0
eps(i) = eps_cold
endif
press_cold = coldeos_kappa * rho(i)**gamma
press_th = coldeos_thfac*(coldeos_gammath - 1.0d0)*rho(i)*eps_th
xdpdrhoe = coldeos_thfac*(coldeos_gammath - 1.0d0)*eps_th
xdpderho = coldeos_thfac*(coldeos_gammath - 1.0d0)*rho(i)
cs2_th = (xdpdrhoe + press_th * xdpderho / (rho(i)**2))
h = 1.0d0 + eps(i) + (press_cold+press_th) / rho(i)
h_cold = 1.0d0 + eps_cold + press_cold / rho(i)
cs2(i) = (cs2_cold * h_cold + cs2_th) / h
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
! temporary vars for nuc_eos
real*8 :: xrho,xye,xtemp,xenr,xent
real*8 :: xprs,xmunu,xcs2
real*8 :: xdedt,xdpderho,xdpdrhoe
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 (4)
! nuc EOS
write(warnstring,*) "EOS_Omni_EpsFromPress call not supported for nuc_eos yet"
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_RhoFromPressEpsTempEnt(eoskey,&
ikeytemp,rf_precision,&
npoints,rho,eps,temp,entropy,ye,press,keyerr,anyerr)
! This routine returns the density and spec. internal energy based on inputs of
! pressure, temperature, and Y_e.
! The current implementation is robust, but very slow; it should be used only
! for initial data where speed does not matter.
use EOS_Omni_Module
implicit none
DECLARE_CCTK_PARAMETERS
CCTK_INT, intent(in) :: eoskey,ikeytemp,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)
CCTK_REAL, intent(inout) :: rho(npoints),temp(npoints),eps(npoints)
CCTK_REAL, intent(inout) :: entropy(npoints)
! local vars
integer :: i
character(256) :: warnstring
integer :: keytemp
! temporary vars for nuc_eos
real*8 :: xrho,xye,xtemp,xenr,xent
real*8 :: xprs,xmunu,xcs2
real*8 :: xdedt,xdpderho,xdpdrhoe
! temporary vars for cold tabulated EOS
integer :: ir
real*8 :: gamma
! helper vars
logical :: cont
integer :: counter
real*8 :: rho_guess, rho_guess2
real*8 :: press_guess,press_guess2, mydpdrho
real*8 :: fac
keytemp = ikeytemp
anyerr = 0
keyerr(:) = 0
select case (eoskey)
case (1)
! polytropic EOS
do i=1,npoints
rho(i) = (press(i) / poly_k)**(1.0/poly_gamma)
eps(i) = press(i) / (poly_gamma - 1.0d0) / rho(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_RestMassDensityFromPressEpsTemp not supported for hybrid EOS"
call CCTK_WARN(0,warnstring)
case (4)
! nuc EOS
if(ikeytemp.eq.2) then
call CCTK_WARN(0,"This function does not work yet when coming in with entropy")
else if(ikeytemp.eq.1) then
keytemp = 1
else
call CCTK_WARN(0,"This function does not work yet when coming in with this keytemp")
endif
keytemp = 1
do i=1,npoints
fac = 1.0d0
counter = 0
cont = .true.
xprs = press(i) * inv_press_gf
press_guess = xprs
rho_guess = rho(i) * inv_rho_gf
xprs = press(i) * inv_press_gf
xtemp = temp(i)
xye = ye(i)
do while(cont)
counter = counter + 1
rho_guess2 = rho_guess * 1.0001d0
call nuc_eos_short(rho_guess2,xtemp,xye,xenr,press_guess2,&
xent,xcs2,xdedt,xdpderho,xdpdrhoe,xmunu,&
keytemp,keyerr(i),rf_precision)
call nuc_eos_short(rho_guess,xtemp,xye,xenr,press_guess,&
xent,xcs2,xdedt,xdpderho,xdpdrhoe,xmunu,&
keytemp,keyerr(i),rf_precision)
mydpdrho = (press_guess2-press_guess)/(rho_guess2-rho_guess)
if (mydpdrho.lt.0.0d0) then
!$OMP CRITICAL
write(warnstring,"(A25,1P10E15.6)") "Issue with table, dpdrho.lt.0",&
rho_guess,xtemp,xye
call CCTK_WARN(0,warnstring)
!$OMP END CRITICAL
endif
if (abs(1.0d0-press_guess/xprs).lt.rf_precision) then
cont = .false.
rho(i) = rho_guess*rho_gf
eps(i) = xenr*eps_gf
else
if (fac*(xprs-press_guess)/mydpdrho/rho_guess.gt.0.1d0) then
rho_guess = 0.99d0*rho_guess
else
rho_guess = rho_guess + fac*(xprs-press_guess)/mydpdrho
endif
endif
if (counter.gt.100) then
fac = 0.01d0
endif
if (rho_guess.lt.1.0d3.or.counter.gt.100000) then
keyerr(i) = 473
anyerr = 1
return
endif
enddo
enddo
case (5)
! cold tabulate EOS
! deal only with case in which thermal pressure is zero
if(keytemp.ne.1) then
call CCTK_WARN(0,"finding rho(press) for tabulated cold EOS only possible if keytemp=1")
endif
do i=1,npoints
fac = 1.0d0
counter = 0
cont = .true.
xprs = press(i)
press_guess = xprs
rho_guess = rho(i)
xprs = press(i)
do while(cont)
counter = counter + 1
rho_guess2 = rho_guess * 1.0001d0
! press 2
if(rho_guess2.lt.coldeos_rhomin) then
keyerr(i) = 104
anyerr = 1
else if(rho_guess2.gt.coldeos_rhomax) then
keyerr(i) = 103
anyerr = 1
else
xrho = log10(rho_guess2)
ir = 2 + INT( (xrho - coldeos_logrho(1) - 1.0d-10) * coldeos_dlrhoi )
endif
ir = max(2, min(ir,coldeos_nrho))
gamma = (coldeos_gamma(ir) - coldeos_gamma(ir-1)) / &
(coldeos_logrho(ir) - coldeos_logrho(ir-1)) * &
(xrho - coldeos_logrho(ir-1)) + coldeos_gamma(ir-1)
press_guess2 = coldeos_kappa * rho_guess2**gamma
! end press 2
! press 1
if(rho_guess.lt.coldeos_rhomin) then
keyerr(i) = 104
anyerr = 1
else if(rho_guess.gt.coldeos_rhomax) then
keyerr(i) = 103
anyerr = 1
else
xrho = log10(rho_guess)
ir = 2 + INT( (xrho - coldeos_logrho(1) - 1.0d-10) * coldeos_dlrhoi )
endif
ir = max(2, min(ir,coldeos_nrho))
gamma = (coldeos_gamma(ir) - coldeos_gamma(ir-1)) / &
(coldeos_logrho(ir) - coldeos_logrho(ir-1)) * &
(xrho - coldeos_logrho(ir-1)) + coldeos_gamma(ir-1)
press_guess = coldeos_kappa * rho_guess**gamma
! end press 1
! derivative
mydpdrho = (press_guess2-press_guess)/(rho_guess2-rho_guess)
if (mydpdrho.lt.0.0d0) then
!$OMP CRITICAL
write(warnstring,"(A25,1P10E15.6)") "Issue with table, dpdrho.lt.0",&
rho_guess,rho_guess2
call CCTK_WARN(0,warnstring)
!$OMP END CRITICAL
endif
if (abs(1.0d0-press_guess/xprs).lt.rf_precision) then
cont = .false.
rho(i) = rho_guess
eps(i) = (coldeos_eps(ir) - coldeos_eps(ir-1)) / &
(coldeos_logrho(ir) - coldeos_logrho(ir-1)) * &
(xrho - coldeos_logrho(ir-1)) + coldeos_eps(ir-1)
else
if (fac*(xprs-press_guess)/mydpdrho/rho_guess.gt.0.1d0) then
rho_guess = 0.99d0*rho_guess
else
rho_guess = rho_guess + fac*(xprs-press_guess)/mydpdrho
endif
endif
if (counter.gt.100) then
fac = 0.01d0
endif
if (rho_guess.lt.1.0d-15.or.counter.gt.100000) then
keyerr(i) = 473
anyerr = 1
return
endif
enddo
enddo
case DEFAULT
write(warnstring,*) "eoskey ",eoskey," not implemented!"
call CCTK_WARN(0,warnstring)
end select
end subroutine EOS_Omni_EOS_RhoFromPressEpsTempEnt
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