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|
! #########################################################
!
! Copyright C. D. Ott and Evan O'Connor, July 2009
!
! UNITS: density g/cm^3
! temperature MeV
! ye number fraction per baryon
! energy erg/g
! pressure dyn/cm^2
! chemical potentials MeV
! entropy k_B / baryon
! cs2 cm^2/s^2 (not relativistic)
!
! keyerr --> error output; should be 0
! rfeps --> root finding relative accuracy, set around 1.0d-10
! keytemp: 0 -> coming in with eps
! 1 -> coming in with temperature
! 2 -> coming in with entropy
!
subroutine nuc_eos_full(xrho,xtemp,xye,xenr,xprs,xent,xcs2,xdedt,&
xdpderho,xdpdrhoe,xxa,xxh,xxn,xxp,xabar,xzbar,xmu_e,xmu_n,xmu_p, &
xmuhat,keytemp,keyerr,rfeps)
use eosmodule
implicit none
real*8, intent(inout) :: xrho,xye
real*8, intent(inout) :: xtemp,xenr,xent
real*8, intent(out) :: xprs,xcs2,xdedt
real*8, intent(out) :: xdpderho,xdpdrhoe,xxa,xxh,xxn,xxp
real*8, intent(out) :: xabar,xzbar,xmu_e,xmu_n,xmu_p,xmuhat
real*8, intent(in) :: rfeps
integer, intent(in) :: keytemp
integer, intent(out) :: keyerr
! local variables
real*8 :: lr,lt,y,xx,xeps,leps,xs,xpressure
real*8 :: d1,d2,d3
real*8 :: ff(nvars)
integer :: keyerrt = 0
integer :: keyerrr = 0
if(xrho.gt.eos_rhomax) then
stop "nuc_eos: rho > rhomax"
endif
if(xrho.lt.eos_rhomin) then
stop "nuc_eos: rho < rhomin"
endif
if(xye.gt.eos_yemax) then
keyerr = 101
return
endif
if(xye.lt.eos_yemin) then
keyerr = 102
return
endif
if(keytemp.eq.1) then
if(xtemp.gt.eos_tempmax) then
stop "nuc_eos: temp > tempmax"
endif
if(xtemp.lt.eos_tempmin) then
stop "nuc_eos: temp < tempmin"
endif
endif
lr = log10(xrho)
lt = log10(xtemp)
y = xye
xeps = xenr + energy_shift
leps = log10(max(xeps,1.0d0))
keyerr = 0
if(keytemp.eq.0) then
!need to find temperature based on xeps
call findtemp(lr,lt,y,leps,keyerrt,rfeps)
if(keyerrt.ne.0) then
stop "Did not find temperature"
endif
xtemp = 10.0d0**lt
elseif(keytemp.eq.2) then
!need to find temperature based on xent
xs = xent
call findtemp_entropy(lr,lt,y,xs,keyerrt,rfeps)
xtemp = 10.0d0**lt
elseif(keytemp.eq.3) then
!need to find rho based on xprs
xpressure = log10(xprs)
call findrho_press(lr,lt,y,xpressure,keyerrr,rfeps)
if(keyerrr.ne.0) then
write(*,*) "Problem in findrho_press:", keyerr
keyerr = keyerrr
return
endif
xrho = 10.0d0**lr
endif
! have temperature, proceed:
call findall(lr,lt,y,ff)
!unless we want xprs to be constant (keytemp==3), reset xprs
if(.not.keytemp.eq.3) then
xprs = 10.0d0**ff(1)
endif
if(.not.keytemp.eq.0) then
xenr = 10.0d0**ff(2) - energy_shift
endif
if(.not.keytemp.eq.2) then
xent = ff(3)
endif
xcs2 = ff(5)
! derivatives
xdedt = ff(6)
xdpdrhoe = ff(7)
xdpderho = ff(8)
! chemical potentials
xmuhat = ff(9)
xmu_e = ff(10)
xmu_p = ff(11)
xmu_n = ff(12)
! compositions
xxa = ff(13)
xxh = ff(14)
xxn = ff(15)
xxp = ff(16)
xabar = ff(17)
xzbar = ff(18)
end subroutine nuc_eos_full
subroutine nuc_low_eos(xrho,xenr,xprs,xcs2,xdpderho,xdpdrhoe,keytemp)
implicit none
real*8 xrho,xenr,xprs,xcs2,xdpderho,xdpdrhoe
real*8,parameter :: idealK1 = 1.2435d15 * (0.5d0**(4.d0/3.d0))
real*8,parameter :: idealgamma = 1.41d0
integer keytemp
if(keytemp.eq.1) then
! energy wanted
xprs=idealK1*xrho**(idealgamma)
xenr=xprs/xrho/(idealgamma-1.d0)
xcs2=idealgamma*xprs/xrho
endif
xprs = (idealgamma - 1.0d0) * xrho * xenr
xdpderho = (idealgamma - 1.0d0 ) * xrho
xdpdrhoe = (idealgamma - 1.0d0 ) * xenr
xcs2= xdpdrhoe+xdpderho*xprs/xrho**2
end subroutine nuc_low_eos
subroutine nuc_eos_short(xrho,xtemp,xye,xenr,xprs,xent,xcs2,xdedt,&
xdpderho,xdpdrhoe,xmunu,keytemp,keyerr,rfeps)
use eosmodule
implicit none
real*8, intent(inout) :: xrho,xye
real*8, intent(inout) :: xtemp,xenr,xent
real*8, intent(in) :: rfeps
real*8, intent(out) :: xprs,xmunu,xcs2,xdedt
real*8, intent(out) :: xdpderho,xdpdrhoe
integer, intent(in) :: keytemp
integer, intent(out) :: keyerr
! local variables
real*8 :: lr,lt,y,xx,xeps,leps,xs,xpressure
real*8 :: d1,d2,d3,ff(8)
integer :: keyerrt = 0
integer :: keyerrr = 0
if(xrho.gt.eos_rhomax) then
stop "nuc_eos: rho > rhomax"
endif
if(xrho.lt.eos_rhomin*1.2d0) then
call nuc_low_eos(xrho,xenr,xprs,xcs2,xdpderho,xdpdrhoe,keytemp)
xent = 4.0d0
return
endif
if(xye.gt.eos_yemax) then
keyerr = 101
return
endif
if(xye.lt.eos_yemin) then
keyerr = 102
return
endif
if(keytemp.eq.1) then
if(xtemp.gt.eos_tempmax) then
stop "nuc_eos: temp > tempmax"
endif
if(xtemp.lt.eos_tempmin) then
call nuc_low_eos(xrho,xenr,xprs,xcs2,xdpderho,xdpdrhoe,keytemp)
xent = 4.0d0
return
endif
endif
lr = log10(xrho)
lt = log10(xtemp)
y = xye
xeps = xenr + energy_shift
leps = log10(max(xeps,1.0d0))
keyerr = 0
if(keytemp.eq.0) then
!need to find temperature based on xeps
call findtemp(lr,lt,y,leps,keyerrt,rfeps)
if(keyerrt.ne.0) then
keyerr = keyerrt
return
endif
xtemp = 10.0d0**lt
elseif(keytemp.eq.2) then
!need to find temperature based on xent
xs = xent
call findtemp_entropy(lr,lt,y,xs,keyerrt,rfeps)
if(keyerrt.ne.0) then
keyerr = keyerrt
return
endif
xtemp = 10.0d0**lt
elseif(keytemp.eq.3) then
!need to find rho based on xprs
xpressure = log10(xprs)
call findrho_press(lr,lt,y,xpressure,keyerrr,rfeps)
if (keyerrr.ne.0) then
keyerr = keyerrr
write(*,*) "Problem in findrho_press:", keyerr
return
endif
xrho = 10.0d0**lr
endif
! have rho,temp,ye; proceed:
call findall_short(lr,lt,y,ff)
!unless we want xprs to be constant (keytemp==3), reset xprs
if(.not.keytemp.eq.3) then
xprs = 10.0d0**ff(1)
endif
!unless we want xenr to be constant (keytemp==0), reset xenr
if(.not.keytemp.eq.0) then
xenr = 10.0d0**ff(2) - energy_shift
endif
!unless we want xent to be constant (keytemp==2), reset xent
if(.not.keytemp.eq.2) then
xent = ff(3)
endif
xmunu = ff(4)
xcs2 = ff(5)
xdedt = ff(6)
xdpdrhoe = ff(7)
xdpderho = ff(8)
end subroutine nuc_eos_short
subroutine nuc_eos_press_eps(xrho,xtemp,xye,xenr,xprs,&
keytemp,keyerr,rfeps)
use eosmodule
implicit none
real*8, intent(in) :: xrho,xye
real*8, intent(inout) :: xtemp,xenr
real*8, intent(in) :: rfeps
real*8, intent(out) :: xprs
integer, intent(in) :: keytemp
integer, intent(out) :: keyerr
! local variables
real*8 :: xcs2,xdpderho,xdpdrhoe
real*8 :: lr,lt,y,xx,xeps,leps,xs
real*8 :: d1,d2,d3,ff(8)
integer :: keyerrt = 0
if(xrho.gt.eos_rhomax) then
stop "nuc_eos: rho > rhomax"
endif
if(xrho.lt.eos_rhomin*1.2d0) then
call nuc_low_eos(xrho,xenr,xprs,xcs2,xdpderho,xdpdrhoe,keytemp)
return
endif
if(xye.gt.eos_yemax) then
keyerr = 101
return
endif
if(xye.lt.eos_yemin) then
keyerr = 102
return
endif
if(keytemp.eq.1) then
if(xtemp.gt.eos_tempmax) then
stop "nuc_eos: temp > tempmax"
endif
if(xtemp.lt.eos_tempmin) then
call nuc_low_eos(xrho,xenr,xprs,xcs2,xdpderho,xdpdrhoe,keytemp)
return
endif
endif
lr = log10(xrho)
lt = log10(xtemp)
y = xye
xeps = xenr + energy_shift
leps = log10(max(xeps,1.0d0))
keyerr = 0
if(keytemp.eq.0) then
!need to find temperature based on xeps
call findtemp(lr,lt,y,leps,keyerrt,rfeps)
if(keyerrt.ne.0) then
keyerr = keyerrt
return
endif
xtemp = 10.0d0**lt
elseif(keytemp.gt.1) then
stop "eos_nuc_press does not support keytemp other than 0 and 1"
endif
! have temperature, proceed:
call findall_press_eps(lr,lt,y,ff)
xprs = 10.0d0**ff(1)
if(keytemp.eq.1) then
xenr = 10.0d0**ff(2) - energy_shift
endif
end subroutine nuc_eos_press_eps
subroutine nuc_eos_dpdr_dpde(xrho,xtemp,xye,xenr,xdpdrhoe,&
xdpderho,&
keytemp,keyerr,rfeps)
use eosmodule
implicit none
real*8, intent(in) :: xrho,xye
real*8, intent(inout) :: xtemp,xenr
real*8, intent(in) :: rfeps
real*8, intent(out) :: xdpdrhoe,xdpderho
integer, intent(in) :: keytemp
integer, intent(out) :: keyerr
! local variables
real*8 :: xcs2,xprs
real*8 :: lr,lt,y,xx,xeps,leps,xs
real*8 :: d1,d2,d3,ff(8)
integer :: keyerrt = 0
if(xrho.gt.eos_rhomax) then
stop "nuc_eos: rho > rhomax"
endif
if(xrho.lt.eos_rhomin*1.2d0) then
call nuc_low_eos(xrho,xenr,xprs,xcs2,xdpderho,xdpdrhoe,keytemp)
return
endif
if(xye.gt.eos_yemax) then
keyerr = 101
return
endif
if(xye.lt.eos_yemin) then
keyerr = 102
return
endif
if(keytemp.eq.1) then
if(xtemp.gt.eos_tempmax) then
stop "nuc_eos: temp > tempmax"
endif
if(xtemp.lt.eos_tempmin) then
call nuc_low_eos(xrho,xenr,xprs,xcs2,xdpderho,xdpdrhoe,keytemp)
return
endif
endif
lr = log10(xrho)
lt = log10(xtemp)
y = xye
xeps = xenr + energy_shift
leps = log10(max(xeps,1.0d0))
keyerr = 0
if(keytemp.eq.0) then
!need to find temperature based on xeps
call findtemp(lr,lt,y,leps,keyerrt,rfeps)
if(keyerrt.ne.0) then
keyerr = keyerrt
return
endif
xtemp = 10.0d0**lt
elseif(keytemp.gt.1) then
stop "eos_nuc_press does not support keytemp > 1"
endif
! have temperature, proceed:
call findall_dpdr_dpde(lr,lt,y,ff)
xdpdrhoe = 10.0d0**ff(1)
xdpderho = 10.0d0**ff(2)
if(keytemp.eq.1) then
call findthis(lr,lt,y,xeps,alltables(:,:,:,2),d1,d2,d3)
xeps = 10.0d0**xeps - energy_shift
xenr = xeps
endif
end subroutine nuc_eos_dpdr_dpde
subroutine findthis(lr,lt,y,value,array,d1,d2,d3)
use eosmodule
implicit none
integer rip,rim
integer tip,tim
integer yip,yim
real*8 lr,lt,y,value,d1,d2,d3
real*8 array(*)
! Ewald's interpolator
call intp3d(lr,lt,y,value,1,array,nrho,ntemp,nye,logrho,logtemp,ye,d1,d2,d3)
end subroutine findthis
subroutine findall(lr,lt,y,ff)
use eosmodule
implicit none
real*8 ff(nvars)
real*8 ffx(nvars,1)
real*8 lr,lt,y
integer i
! Ewald's interpolator
call intp3d_many(lr,lt,y,ffx,1,alltables,&
nrho,ntemp,nye,nvars,logrho,logtemp,ye)
ff(:) = ffx(:,1)
end subroutine findall
subroutine findall_short(lr,lt,y,ff)
use eosmodule
implicit none
real*8 ffx(8,1)
real*8 ff(8)
real*8 lr,lt,y
integer i
integer :: nvarsx = 8
! Ewald's interpolator
call intp3d_many(lr,lt,y,ffx,1,alltables(:,:,:,1:8), &
nrho,ntemp,nye,nvarsx,logrho,logtemp,ye)
ff(:) = ffx(:,1)
end subroutine findall_short
subroutine findall_press_eps(lr,lt,y,ff)
use eosmodule
implicit none
real*8 ffx(8,1)
real*8 ff(8)
real*8 lr,lt,y
integer i
integer :: nvarsx = 2
! Ewald's interpolator
call intp3d_many(lr,lt,y,ffx,1,alltables(:,:,:,1:2), &
nrho,ntemp,nye,nvarsx,logrho,logtemp,ye)
ff(:) = ffx(:,1)
end subroutine findall_press_eps
subroutine findall_dpdr_dpde(lr,lt,y,ff)
use eosmodule
implicit none
real*8 ffx(8,1)
real*8 ff(8)
real*8 lr,lt,y
integer i
integer :: nvarsx = 2
! Ewald's interpolator
call intp3d_many(lr,lt,y,ffx,1,alltables(:,:,:,7:8), &
nrho,ntemp,nye,nvarsx,logrho,logtemp,ye)
ff(:) = ffx(:,1)
end subroutine findall_dpdr_dpde
|
