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PROGRAM STELLAR
include 'parm.h'
include 'var.h'
save
c
call start
imod=0
konv=0
mode=0
do i=1,100000
imod=imod+1
TIME=TIME+DTIME
MODEL=MODEL+1
C
C Store old values of time dependent variables in arrays with names
C beginning with a "v".
C
do j=1,N
do k=1,NG
vx(j,k)=x(j,k)
enddo
vhydrogen(j)=hydrogen(j)
vhelium4(j)=helium4(j)
vhelium3(j)=helium3(j)
vdeuterium(j)=deuterium(j)
vcarbon(j)=carbon(j)
vtrogen(j)=trogen(j)
voxygen(j)=oxygen(j)
enddo
C
C End of storing old values of time dependent variables
C
konv=max(0,konv-1)
call massflux(TIME,Zflux)
if(konv.gt.0. or. MODEL.eq.1) then
mode=999
else
mode=0
call gridmov
endif
dTAUmx= taufactor*taujk
c call elatim('NOPRINT')
call henyey(mode)
if(mode.ne.0) then
konv=konv+3
C
C NO CONVERGENCE IN HENYEY. TRY AGAIN
C
TIME=TIME-DTIME
MODEL=MODEL-1
imod=imod-1
if(abs(DTIME/DTMIN-1.).lt.0.01) stop 'NO CONVERGENCE'
DTIME=DTIME/float(konv)
DTIME=max(DTIME,DTMIN)
C
C Reset time dependent variables with old values.
C
do j=1,N
do k=1,NG
x(j,k)=vx(j,k)
enddo
hydrogen(j)=vhydrogen(j)
helium4(j)=vhelium4(j)
helium3(j)=vhelium3(j)
deuterium(j)=vdeuterium(j)
carbon(j)=vcarbon(j)
trogen(j)=vtrogen(j)
oxygen(j)=voxygen(j)
enddo
C
C End of variable reset.
C
else
C
C CONVERGENCE IN HENYEY. ADVANCE THE COMPOSITION
C
call compchange
call addmass
if(konv.lt.2) call addsub
call printm(imod)
C
C OPTIMIZE THE TIME STEP, TAKING INTO ACCOUNT THE PREVIOUS CONVERGENCE
C BEHAVIOR AND THE NET CHANGES.
C
if(CHANGE.lt.CHGMIN .and. ITER.lt.9 .and. konv.eq.0)
* DTIME=DTIME*1.1
if(CHANGE.gt.CHGMAX) DTIME=DTIME*0.8
if(CHANGE.gt.2.*CHGMAX) DTIME=DTIME*0.8
DTIME=max(DTIME,DTMIN)
DTIME=min(DTIME,DTMAX)
endif
if((nmod.gt.0 .and. imod.ge.nmod) .or. konv.ge.7) goto 99
enddo
99 call printm(-1)
stop
end
SUBROUTINE PRINTM(imod)
C+
C THE SUBROUTINE PRINTM WRITES OUT MODEL INFORMATION
C
C AUTHOR: H.W. YORKE 30-AUG-02 (JPL / CALTECH)
C-
include 'parm.h'
include 'var.h'
CHARACTER*1 CS(2)
DATA MODWRT/-1/
DATA CS/'*',' '/
save
C
if(mod(IMOD,NRIT).ne.0 .and. mod(MODEL,JRIT).ne.0) return
if(IMOD.gt.0) then
te4 = X(N,3)/7.125e-4/X(N,2)/X(N,2)
tee=sqrt(sqrt(te4))
c Znet=1.d0-hydrogen(1)-helium4(1)-helium3(1)-deuterium(1) &
c & -carbon(1)-trogen(1)-oxygen(1)
if(iter.lt.abs(itmax/2)) then
write (6,200) MODEL,TIME,DTIME,CHANGE, &
& X(1,1),X(1,4),X(N,2),X(N,3),tee,Zmass,Zflux
c & hydrogen(1),helium4(1),helium3(1),deuterium(1), &
c & carbon(1),oxygen(1),Znet, &
200 format(' MODEL:',i6,' TIME:',1p,D11.4,' DTIME:',D11.4, &
& ' NET CHANGE: ',D9.2, &
& /,' Pc,Tc,R,L,TE,M:',6D10.3,D11.3 &
& /,1x,83("*"))
c & /,' H,He4,He3,D,C,O:',0p,7f8.5,1p, &
else
write (6,300) MODEL,TIME,DTIME,CHANGE, &
& X(1,1),X(1,4),X(N,2),X(N,3),tee,Zmass,Zflux
300 format(' MODEL:',i6,' TIME:',1p,D11.4,' DTIME:',D11.4, &
& ' NET CHANGE: ',D9.2, &
& /,' XXXXXXXXXXXXXX:',6D10.3,D11.3 &
& /,1x,83("*"))
endif
endif
if((mod(IMOD,nrit).eq.0 .or. IMOD.lt.0) .and. MODEL.ne.MODWRT) &
& then
MODWRT=MODEL
if(deuterium(1).lt.1.d-37) then
if(helium3(1).lt.1.d-37) then
write (6,401) MODEL,TIME
else
write (6,301) MODEL,TIME
endif
else
write (6,201) MODEL,TIME
endif
401 format(/,' MODEL:',i6,' TIME:',1p,D12.4,/ &
& ' J dM M P R ', &
& ' L T RHO 1-BETA HYDR ', &
& ' HE4 C N O')
301 format(/,' MODEL:',i6,' TIME:',1p,D12.4,/ &
& ' J dM M P R ', &
& ' L T RHO 1-BETA HYDR ', &
& ' HE4 HE3 N O')
201 format(/,' MODEL:',i6,' TIME:',1p,D12.4,/ &
& ' J dM M P R ', &
& ' L T RHO 1-BETA HYDR ', &
& ' HE4 D N O')
do j=1,N
call invstate(91,x(j,1),x(j,4),hydrogen(j),helium4(j),Crad, &
& RHO,cP,alpha,beta,delta)
if(deuterium(1).lt.1.d-37) then
if(helium3(1).lt.1.d-37) then
write (6,202) J,CS(1+ICONVECT(j)),dM(j),zM(j), &
& (X(j,k),k=1,NG),rho,beta, &
& hydrogen(j),helium4(j),carbon(j), &
& trogen(j),oxygen(j)
else
write (6,202) J,CS(1+ICONVECT(j)),dM(J),zM(J), &
& (X(j,k),k=1,NG),rho,beta, &
& hydrogen(j),helium4(j),helium3(j), &
& trogen(j),oxygen(j)
endif
else
write (6,202) J,CS(1+ICONVECT(j)),dM(J),zM(J), &
& (X(j,k),k=1,NG),rho,beta, &
& hydrogen(j),helium4(j),deuterium(j), &
& trogen(j),oxygen(j)
endif
C202 format(I5,1x,a1,0p,F9.6,1p,12D9.2)
202 format(I5,1x,a1,1p,D9.2,D13.6,D10.3,D9.2,D13.5,2D10.3,6D9.2)
enddo
if(NATM.gt.0 .and. IMOD.ne.0) then
call atmos(Tatm,RHOatm,Ratm,Patm,X(N,2),X(N,3),NATM)
else
call atmos(Tatm,RHOatm,Ratm,Patm,X(N,2),X(N,3),0)
endif
if(MODEL.ne.0) then
write (JUNIT) MODEL,N,TIME,dTIME,taujk, &
& ((x(j,k),k=1,4),dM(j), &
& hydrogen(j),helium3(j),helium4(j),deuterium(j), &
& carbon(j),trogen(j),oxygen(j), &
& j=1,N)
c backspace JUNIT
c read (JUNIT)
NREC=NREC+1
write (6,204) MODEL,TIME,NREC,JUNIT
204 format(' MODEL:',i6,' TIME:',1p,D12.4,' STORED AS RECORD', &
& i5,' ON UNIT',i3)
endif
endif
return
end
SUBROUTINE START
C+
C THE SUBROUTINE START PREPARES FOR THE FIRST RUNNUNG OF HYDRO.
C
C AUTHOR: H.W. YORKE 30-JAN-02 (JPL / CALTECH)
C-
include 'parm.h'
include 'var.h'
character*50 SFILE,OFILE
character*1 why(3)
dimension ZH(14)
dimension dens(MJ),temp(MJ), xl(MJ), r(MJ) ,pres(MJ)
equivalence (X(1,1),pres) , (X(1,4),temp)
equivalence (X(1,2),r) , (X(1,3),xl)
COMMON/ABUND/XBA(14),H1(14),AH(14)
DATA ZH /1.0081451,4.003874,12.0038156,23.,24.32, &
& 26.97,28.06,32.07,39.102,40.08,55.85,14.0075257,16.,19.99/
DATA RSUN/6.96d10/
save
c
do i=1,14
ah(i)=zh(i)
enddo
c
call comrd
READ (5,200) IUNIT,SFILE
c WRITE(6,200) IUNIT,SFILE
call comrd
READ (5,200) JUNIT,OFILE
c WRITE(6,200) JUNIT,OFILE
c
if(IUNIT.eq.1) then
open(unit=IUNIT,file=SFILE, form='formatted' , status='old' )
else
open(unit=IUNIT,file=SFILE, form='unformatted' , status='old' )
endif
if(IUNIT.ne.JUNIT) &
& open(unit=JUNIT,file=OFILE, form='unformatted' , &
& status='unknown' )
C
200 FORMAT(20X,i3,1X,a)
201 FORMAT(5(6X,I6))
202 FORMAT(1P,4(6X,D9.2))
203 FORMAT(4(6X,D9.2))
C
call comrd
READ (5,201) NREC,NMOD,NRIT,ITMIN,ITMAX
c WRITE(6,201) NREC,NMOD,NRIT,ITMIN,ITMAX
call comrd
READ (5,201) JADD,JSUB,NATM
c WRITE(6,201) JADD,JSUB,NATM
call comrd
READ (5,203) Atmx,Atmn,dTAUmx,RLH
c WRITE(6,202) Atmx,Atmn,dTAUmx,RLH
taufactor=dTAUmx
call comrd
READ (5,203) dLmx,dLmn,dXmx,dXmn
c WRITE(6,202) dLmx,dLmn,dXmx,dXmn
call comrd
READ (5,203) dPmx,dPmn,Crad,Cwrk
c WRITE(6,202) dPmx,dPmn,Crad,Cwrk
call comrd
READ (5,203) dZmax,dZmin,dZdt
dZmax=dZmax*1.00001
c WRITE(6,202) dZmax,dZmin,dZdt
call comrd
READ (5,203) EPS
c WRITE(6,202) EPS
call comrd
READ (5,203) SMIN
c WRITE(6,202) SMIN
call comrd
READ (5,203) SMAX
c WRITE(6,202) SMAX
C
call comrd
READ (5,203) DTIME,FACTIM,DTMIN,DTMAX
c WRITE(6,202) DTIME,FACTIM,DTMIN,DTMAX
call comrd
READ (5,203) CHGMIN,CHGMAX
c WRITE(6,202) CHGMIN,CHGMAX
call comrd
READ (5,*) (H1(J), J = 1,4)
call comrd
READ (5,*) (H1(J), J = 5,8)
call comrd
READ (5,*) (H1(J), J = 9,12)
call comrd
READ (5,*) (H1(J), J = 13,14)
call comrd
NG=MH
JRIT = max(1,NRIT/10)
C
XH2=H1(2)
H1(2)=abs(H1(2))
SUM = 1.
DO J = 1,14
SUM = SUM - H1(J)
END DO
XX=H1(1)
YY=SUM
C H1(2) is temporarily used as the primordial deuterium abundance and
C then replaced by the initial helium abundance.
H1(2)=YY
DO J = 1,14
XBA(J) = H1(J) / AH(J)
END DO
ZZ= 1. - XX - YY
IF(IUNIT.EQ.1) THEN
NREC=0
MODEL=0
C SETUP STARTING MODEL
do j=1,MJ
read(IUNIT,*,end=34) zM(j),r(j),temp(j),xl(j),dens(j)
if(r(j).le.0.d0) goto 35
enddo
J=MJ+1
GOTO 35
34 backspace(IUNIT)
35 N=min(J-1,MJ)
close(IUNIT)
Zmass=zM(N+1)
C**************
amu = 2.*XX + 0.75*YY + 0.57*ZZ
Rglog=log10(83145100.d0*amu)
do i = 1,N
r(i) = RSUN*r(i)
tlog = log10(temp(i))
hydrogen(i) = XX
helium4(i) = YY
helium3(i) = 1.d-5
deuterium(i)=abs(XH2)
carbon(i)=H1(3)
trogen(i)=H1(12)
oxygen(i)=H1(13)
denlog = log10(dens(i))
xl(i) = xl(i)*3.85d33
Plog = Rglog + denlog + Tlog
pres(i)=10.d0**Plog
zM(i)=zM(i)*zMass
end do
dM (1)=zM(1)
do i=2,N
dM (i)=zM(i)-zM(i-1)
enddo
TIME=0.
taujk=1.D11
dTAUmx=taujk*taufactor
call printm(MODEL)
ELSE
if(NREC.lt.0) NREC=99999
nn=max(1,NREC)
do imod=1,nn
read(IUNIT,end=301) MODEL,N,TIME,dTIM,taujk, &
& ((x(j,k),k=1,4),dM(j), &
& hydrogen(j),helium3(j),helium4(j),deuterium(j), &
& carbon(j),trogen(j),oxygen(j), &
& j=1,N)
enddo
IMOD=NREC+1
goto 302
301 backspace(IUNIT)
302 NREC=IMOD-1
zM(1)=dM(1)
do i=2,N
zM(i)=zM(i-1)+dM(i)
enddo
if(NREC.eq.0) then
TIME=0.d0
MODEL=0
endif
write(6,209) NREC,MODEL,N,TIME,dTIM
209 format(' RECORD',i4,' MODEL:',i6,' N:',i4,' TIME:', &
& 1p,D11.4,' DTIME:',D11.4)
if(JUNIT.ne.IUNIT) NREC=0
if(DTIME.lt.0.0d0) DTIME=dTIM
write(6,*) '... continuing calculations with MODEL=',MODEL
Zmass=zM(N)
write(*,*) 'Zmass=', Zmass
if(Jadd.gt.0) then
why(1)='I'
call add(Jadd,why)
endif
if(Jsub.gt.0) call sub(Jsub)
if(FACTIM.lt.0.d0) TIME=0.
ENDIF
RETURN
END
subroutine comrd
character*1 line(1)
character*80 lin
equivalence (lin,line)
save
c
1 read (5,203,end=999) lin
if(line(1).eq.' ') then
write(6,203) lin
backspace 5
return
else
if(line(1).ne.'c' .and. line(1).ne.'C') &
& write(6,203) lin
c202 format(1x,a)
endif
goto 1
999 write(6,203) 'COMRD: END OF INPUT DATA'
203 format(a)
return
end
subroutine opacity(j,tlog,rholog,bkap)
include 'parm.h'
include 'var.h'
parameter(NTVAL=60,NRVAL=14)
DIMENSION TVAL(NTVAL),RVAL(NRVAL)
DATA TVAL/
+2.000,2.097,2.176,2.243,2.301,2.352,2.398,2.439,
+2.477,2.512,2.544,2.574,2.602,2.628,2.653,2.677,
+2.699,2.740,2.778,2.813,2.845,2.875,2.903,2.929,
+2.954,2.978,3.000,3.021,3.041,3.061,3.079,3.097,
+3.114,3.130,3.146,3.161,3.176,3.204,3.230,3.255,
+3.279,3.301,3.350,3.400,3.450,3.500,3.550,3.600,
+3.650,3.700,3.800,3.900,4.000,4.079,4.176,4.301,
+4.477,4.699,4.845,5.000/
DATA RVAL/-12.,-11.,-10.,-9.,-8.,-7.,-6.,-5.,-4.,-3.,-2.,-1.,0.,1.
1/
data ifirst/0/
save
c if(j.lt.100) write(6,*) 'opacity: j,tlog,rhol=',j,tlog,rhol
if(ifirst.eq.0) then
ifirst=1
C....read in the low temperature opacity
open(unit=52, file='opac.cool', status='old')
do itemp=1,60
READ(52,46) (ZKAP(idense,itemp), idense=1,7)
c WRITE(6,46) (ZKAP(idense,itemp), idense=1,7)
READ(52,46) (ZKAP(idense,itemp),idense=8,14)
c WRITE(6,46) (ZKAP(idense,itemp),idense=8,14)
46 FORMAT(7F7.3)
end do
close(52)
open(unit=50,file='hyd.cond',status='old')
open(unit=51,file='hel.cond',status='old')
c.....read in hydrogen conductive opacities
read(50,*) (rhyr(i),i=1,23)
read(50,*) (thyr(i),i=1,28)
do i=1,28
read(50,*) (auxchyop(k,i),k=1,23)
end do
c.....read in helium conductive opacities
read(51,*) (rhel(i),i=1,25)
read(51,*) (thel(i),i=1,32)
do i=1,28
read(51,*) (auxcheop(k,i),k=1,25)
end do
close(50)
close(51)
endif
YY=helium4(j)+helium3(j)
c.....Start here with logT,logRho, Rference logTs logRhos, Table,
c.. log Opacity is Bkap.
RHOL=rholog
IF(TLOG .GE. TVAL(NTVAL)) GO TO 206
call bracket(TVAL,TLOG,NTVAL,mode,it1,it,iterx)
RHOL=max( RVAL(1) , RHOL )
RHOL=min( RVAL(NRVAL)-1.E-9 , RHOL )
WS1 = TVAL(IT1) - TLOG 1900
WS = TVAL(IT1) - TVAL(IT) 2000
WS1 = WS1 / WS 2100
WS = 1. - WS1 2200
call bracket(RVAL,RHOL,NRVAL,mode,iw1,iw,iterx)
WS2 = RHOL - RVAL(IW1) 2800
WS3 = RVAL(IW) - RVAL(IW1) 2900
WS2 = WS2 / WS3 3000
WS3 = 1. - WS2 3100
Z00 = ZKAP(IW,IT) 3200
Z10 = ZKAP(IW1,IT) 3300
Z11 = ZKAP(IW1,IT1) 3400
Z01 = ZKAP(IW,IT1) 3500
IF(Z00.EQ.0..OR.Z01.EQ.0..OR.Z11.EQ.0..OR.Z10.EQ.0.) GO TO 200 3600
WS4 = WS2*(WS1*Z00 + WS*Z01) 3700
WS5 = WS3*(WS1*Z10 + WS*Z11) 3800
BKAP= (WS4+WS5)
C Slowly transition into OPAL opacities
if(Tlog.gt.TVAL(NTVAL)-.1) then
W1=(TVAL(NTVAL)-Tlog)*10.
W2=1.d0-W1
call opaltab(Tlog,RHOlog,hydrogen(j),YY,bkap2,ierror)
if(ierror.eq.0) BKAP=W1*BKAP+W2*bkap2
endif
GO TO 205
206 continue
call opaltab(Tlog,RHOlog,hydrogen(j),YY,bkap,ierror)
c if(ierror.ne.0) Bkap= 4.7
c.....add in conductive opacity:
if(rhol.gt.0. .and. tlog.gt.5.0)then
if(hydrogen(j) .le. 1.e-5) then
hyckap=1.
else
call chyopacity(tlog,rhol,hyckap)
end if
call cheopacity(tlog,rhol,heckap)
ckap=hydrogen(j)*hyckap+(1.-hydrogen(j))*heckap
ckap=10**ckap
realbkap = 10.**bkap
realbkap=1./(1./realbkap+1./Ckap)
bkap=log10(realbkap)
end if
205 continue
RETURN
200 write(6,201) TLOG,RHOL
201 FORMAT(' OUTSIDE TABLE, T = ', 1PE12.3, ' RHO= ',E12.3)
STOP 'opacity'
END
Subroutine opacityhy(T,rho,realk)
include 'parm.h'
COMMON/AUXhyOPACITY/RHOREF(18),TREF(15),rkapparef(18,15)
c..........This subroutine computes the opacity for a specified temperature
c..........and pressure by linearly interpolating between the proper points
c..........of a pure hydrogen opacity table.
data its,irhs /15,18/
save
if ((T.le.Tref(1)).or.(T.ge.Tref(its)).or.(Rho.le.Rhoref(1))
+ .or.(RhO.ge.Rhoref(irhs))) then
write(6,*) 'Temperature: ',T,' Density: ',Rho
write(6,*) 'Out of Bounds.'
realk=1.
C goto 2104
stop 'opacityhy'
endif
c..........Determine which of the reference points bracket the temperature.
call bracket(Tref,T,its,mode,icool,ihot,iterx)
call bracket(Rhoref,Rho,irhs,mode,jrare,jdense,iterx)
c..........Determine Krare and Kdense by a linear interpolation in temperature.
rare = rkapparef(jrare,icool)
+ +((rkapparef(jrare,ihot)-rkapparef(jrare,icool))/
+ (Tref(ihot)-Tref(icool)))*(T-Tref(icool))
dense = rkapparef (jdense,icool)
+ +((rkapparef(jdense,ihot)-rkapparef(jdense,icool))/
+ (Tref(ihot)-Tref(icool)))*(T-Tref(icool))
c.........Determine kappa by a linear interpolation in the density
realk=rare+((dense-rare)/(rhoref(jdense)-rhoref(jrare)))
+ *(rho - rhoref(jrare))
c.........We have thus determined k.
2104 continue
c write(*,*) ihot,icool,jdense,jrare,krare,kdense,k
c write(*,*) 'rkapp(jr,ic),rk(jr,ih),rk(jd,ic),rk(jd,ih)'
c write(*,*) rkapparef(jrare,icool),rkapparef(jrare,ihot)
c write(*,*) rkapparef(jdense,icool),rkapparef(jdense,ihot)
c write(*,*) 'tref(ihot),tref(icool),rhoref(jdense),rhoref(jrare)'
c write(*,*) tref(ihot),tref(icool),rhoref(jdense),rhoref(jrare)
return
end
Subroutine opacityhe(T,rho,realk)
c..........This subroutine computes the opacity for a specified temperature
c..........and pressure by linearly interpolating between the proper points
c..........of a pure helium opacity table.
include 'parm.h'
COMMON/AUXheOPACITY/RHOREF(18),TREF(15),rkapparef(18,15)
data its,irhs /15,18/
save
if ((T.le.Tref(1)).or.(T.ge.Tref(its)).or.(Rho.le.Rhoref(1))
+ .or.(RhO.ge.Rhoref(irhs))) then
write(6,*) 'Temperature: ',T,' Density: ',Rho
write(6,*) 'Out of Bounds.'
realk=1.
C goto 2104
stop 'opacityhe'
endif
c..........Determine which of the reference points bracket the temperature.
call bracket(Tref,T,its,mode,icool,ihot,iterx)
call bracket(Rhoref,Rho,irhs,mode,jrare,jdense,iterx)
c..........Determine Krare and Kdense by a linear interpolation in temperature.
rare = rkapparef(jrare,icool)
+ +((rkapparef(jrare,ihot)-rkapparef(jrare,icool))/
+ (Tref(ihot)-Tref(icool)))*(T-Tref(icool))
dense = rkapparef (jdense,icool)
+ +((rkapparef(jdense,ihot)-rkapparef(jdense,icool))/
+ (Tref(ihot)-Tref(icool)))*(T-Tref(icool))
c.........Determine kappa by a linear interpolation in the density
realk=rare+((dense-rare)/(rhoref(jdense)-rhoref(jrare)))
+ *(rho - rhoref(jrare))
c.........We have thus determined k.
2104 continue
c write(*,*) ihot,icool,jdense,jrare,krare,kdense,k
c write(*,*) 'rkapp(jr,ic),rk(jr,ih),rk(jd,ic),rk(jd,ih)'
c write(*,*) rkapparef(jrare,icool),rkapparef(jrare,ihot)
c write(*,*) rkapparef(jdense,icool),rkapparef(jdense,ihot)
c write(*,*) 'tref(ihot),tref(icool),rhoref(jdense),rhoref(jrare)'
c write(*,*) tref(ihot),tref(icool),rhoref(jdense),rhoref(jrare)
return
end
Subroutine chyopacity(T,rho,realk)
c..........This subroutine computes the opacity for a specified temperature
c..........and pressure by linearlly interpolating between the proper points
c..........of the Hubbard-Lampe (gL-padded) hydrogen conductive opacity table
include 'parm.h'
common /ahycopacity/ Rhoref(23),Tref(28),rkapparef(23,28)
data its,irhs /28,23/
save
condmin=rkapparef(1,its)
c write(*,*) 'chyopacity: Temperature: ',T,' Density: ',Rho
if (T.le.Tref(1).or.Rho.le.Rhoref(1)) then
write(*,*) 'Temperature: ',T,' Density: ',Rho
write(*,*) 'Out of Bounds in conductive hydrogen O-table.'
stop 'chyopacity'
endif
c..........Determine which of the reference points bracket the temperature.
call bracket(Tref,T,its,mode,icool,ihot,iterx)
call bracket(Rhoref,Rho,irhs,mode,jrare,jdense,iterx)
c..........Determine Krare and Kdense by a linear interpolation in temperature
rare = rkapparef(jrare,icool)
+ +((rkapparef(jrare,ihot)-rkapparef(jrare,icool))/
+ (Tref(ihot)-Tref(icool)))*(T-Tref(icool))
dense = rkapparef (jdense,icool)
+ +((rkapparef(jdense,ihot)-rkapparef(jdense,icool))/
+ (Tref(ihot)-Tref(icool)))*(T-Tref(icool))
c.........Determine kappa by a linear interpolation in the density
realk=rare+((dense-rare)/(rhoref(jdense)-rhoref(jrare)))
+ *(rho - rhoref(jrare))
realk=min(realk,condmin)
c.........We have thus determined k.
return
end
Subroutine cheopacity(T,rho,realk)
c..........This subroutine computes the opacity for a specified temperature
c..........and pressure by linearlly interpolating between the proper points
c..........of the Hubbard-Lampe (gL-padded) helium conductive opacity table
include 'parm.h'
common /ahecopacity/ Rhoref(25),Tref(32),rkapparef(25,32)
data its,irhs /32,25/
save
c
condmin=rkapparef(1,its)
if(T.le.Tref(1).or.Rho.le.Rhoref(1)) then
write(*,*) 'Temperature: ',T,' Density: ',Rho
write(*,*) 'Out of Bounds in conductive helium O-table.'
stop 'cheopacity'
endif
c..........Determine which of the reference points bracket the temperature.
call bracket(Tref,T,its,mode,icool,ihot,iterx)
call bracket(Rhoref,Rho,irhs,mode,jrare,jdense,iterx)
c..........Determine Krare and Kdense by a linear interpolation in temperature
rare = rkapparef(jrare,icool)
+ +((rkapparef(jrare,ihot)-rkapparef(jrare,icool))/
+ (Tref(ihot)-Tref(icool)))*(T-Tref(icool))
dense = rkapparef (jdense,icool)
+ +((rkapparef(jdense,ihot)-rkapparef(jdense,icool))/
+ (Tref(ihot)-Tref(icool)))*(T-Tref(icool))
c.........Determine kappa by a linear interpolation in the density
realk=rare+((dense-rare)/(rhoref(jdense)-rhoref(jrare)))
+ *(rho - rhoref(jrare))
realk=max(realk,condmin)
c.........We have thus determined k.
return
end
C+
C NAME: bracket (Version 1.0)
C AUTHOR: H.W. Yorke (JPL)
C DATE: 24-Feb-05 V1.0
C UPDATES:
C
C The subroutine bracket finds the upper and lower indices of the
C members of a monotonic increasing table which bracket a given number.
C
C *** NOTE: bracket does not check whether the table is monotonically
C increasing.
C
C USAGE: call bracket (Xarray , Xval, Narray , mode , I1 , I2 , ITER )
C
C WHERE Xarray is the given monotonically increasing table (INPUT)
C Xval is the given number to be bracketed (INPUT)
C Narray is the length of the table (INPUT)
C mode = -1, 0 , 1 depending on whether Xval is OUTPUT
C less than the smallest value in the table
C (mode=-1), greater than the maximum value
C (mode=1) or lies within the table (mode=0)
C I1 is the lower index of bracketing OUTPUT
C I2 is the upper index of bracketing OUTPUT
C ITER is the number of iterations OUTPUT
C
C PROGRAMS USED: none
C-
subroutine bracket(Xarray,Xval,Narray,mode,I1,I2,iter)
include 'parm.h'
dimension Xarray(Narray)
save
c
i=0
mode=0
if(Xval.lt.Xarray(1)) then
I1=1
I2=2
mode=-1
return
endif
if(Xval.gt.Xarray(Narray)) then
I1=Narray-1
I2=Narray
mode=1
return
endif
I1=1
I2=Narray
do i=1,Narray
ID=(I1+I2)/2
if(Xarray(ID).lt.Xval) then
I1=ID
else
I2=ID
endif
if(I2-I1.eq.1) goto 90
enddo
stop 'bracket: Unable to find position in table'
90 iter=i
continue
return
end
subroutine opaltab(Tlog,RHOlog,XH,Y,opac,ierror)
include 'parm.h'
include 'var.h'
parameter (MX=14,MR=19,MT=70)
character*5 TABLE
dimension OPACTB(MX,MR,MT),XX(MX),RR(MR),TT(MT)
COMMON/ABUND/XBA(14),H1(14),AH(14)
data ifirst/0/
data Z0,Z1/0.,1./
save
ierror=0
if(ifirst.eq.0) then
ifirst=1
open(51,file='GN93hz',form='formatted',status='old',err=99)
do i=1,239
read(51,*)
enddo
do ix=1,MX
read(51,*)
201 format(a5,31x,f6.4,12x,f6.4,2(5x,f6.4))
read(51,201,err=98) TABLE,XX(ix),ZZ,XC,XO
c write(6,201) TABLE,XX(ix),ZZ,XC,XO
if(TABLE.ne.'TABLE') goto 98
C
C XX(ix) is normally used to store the hydrogen mass content used to
C generate the table. However, for X=0 (no hydrogen) then -XX(ix) is
C used to store the amount of additional oxygen and carbon.
C
if(XC+XO.gt.0.0001) then
XX(ix)=-(XC+XO)
else
ZZtab = ZZ
endif
read(51,*)
read(51,*)
read(51,*)
202 format(4x,f6.1,18f7.1)
read(51,202,err=98) RR
c write(6,202) RR
read(51,*)
do it=1,MT
203 format(f4.2,19f7.3)
read(51,203,err=98) TT(it),(OPACTB(ix,ir,it),ir=1,MR)
c write(6,203) TT(it),(OPACTB(ix,ir,it),ir=1,MR)
enddo
c write(6,203) TT
enddo
close(51)
dr=(RR(MR)-RR(1))/float(MR-1)
IXmax=1
XXmax=XX(1)
do ix=1,MX
if(XX(ix).gt.XXmax) then
IXmax=ix
XXmax=XX(ix)
endif
enddo
Znorm = Z1-H1(1)-H1(2)
endif
if(XH.lt.XX(1) .or. XH.gt.XXmax) ierror=1
dZZ=((Z1-XH-Y)-Znorm) * (Z1-ZZtab)/(Z1-Znorm)
if(dZZ.le.0.0014d0) then
IX1=IXmax-1
IX2=IXmax
if(XH.lt.XX(IX1)) then
IX1=1
IX2=2
if(XH.gt.XX(IX2)) then
IUP=IXmax-1
IDN=2
do i=1,2
IX1=(IUP+IDN)/2
if(XH.gt.XX(IX1)) then
IDN=IX1
else
IUP=IX1
endif
enddo
IX1=IDN
IX2=IUP
endif
endif
DX2=(XH-XX(IX1))/(XX(IX2)-XX(IX1))
DX1=Z1-DX2
else
if(XH.gt.1.d-20) then
ierror=99
write(6,*) 'You have no business being in this part of the', &
& ' opacity table ZZtab,dZZ=',ZZtab,dZZ
write(6,*) 'X,Y,Znorm=',XH,Y,Znorm
write(6,'(a,1p,14E11.3)') 'Abundances:',H1
do j=1,N
if(abs(XH-hydrogen(j)).lt.1.d-10) then
write(6,'(a,i4,9F8.5)') 'J,lnT,X,Y4,Y3,D,C,N,O=',j,Tlog, &
& XH,helium4(j),helium3(j),deuterium(j),carbon(j), &
& trogen(j),oxygen(j),1.d0-XH-helium4(j)-helium3(j)- &
& deuterium(j)-carbon(j)-trogen(j)-oxygen(j)
endif
enddo
stop 'opaltab'
endif
IX1=MX-1
IX2=MX
if(dZZ.lt.-XX(IX1)) then
IX1=1
IX2=IXmax+1
if(dZZ.gt.-XX(IX2)) then
IUP=MX-1
IDN=IXmax+1
do i=1,2
IX1=(IUP+IDN)/2
if(dZZ.gt.-XX(IX1)) then
IDN=IX1
else
IUP=IX1
endif
enddo
IX1=IDN
IX2=IUP
endif
endif
DX2=(dZZ+XX(IX1))/(-XX(IX2)+XX(IX1))
DX1=Z1-DX2
endif
c write(6,204) 'X:',XH,XX(ix1),XX(ix2),ix1,ix2,dx1,dx2
204 format(a,1p,3E12.4,2i10,2E12.4,i3)
Rlog=RHOlog-3.*(Tlog-6.)
if(Rlog.lt.RR(1) .or. Rlog.gt.RR(MR)) ierror=ierror+2
DR2=(Rlog-RR(1))/dr
IR1=max(DR2,Z0)
IR2=min(IR1+2,MR)
IR1=IR2-1
DR2=DR2-float(IR1-1)
DR1=Z1-DR2
c write(6,204) 'R:',Rlog,RR(ir1),RR(ir2),ir1,ir2,dr1,dr2
if(Tlog.lt.TT(1) .or. Tlog.gt.TT(MT)) ierror=ierror+4
call bracket(TT,Tlog,MT,mode,IT1,IT2,iterx)
DT2=(Tlog-TT(IT1))/(TT(IT2)-TT(IT1))
DT1=Z1-DT2
c write(6,204) 'T:',Tlog,TT(it1),TT(it2),it1,it2,dt1,dt2,iterx
opac=dx1*(dr1*(dt1*OPACTB(ix1,ir1,it1)+dt2*OPACTB(ix1,ir1,it2))
& + dr2*(dt1*OPACTB(ix1,ir2,it1)+dt2*OPACTB(ix1,ir2,it2)))
& +dx2*(dr1*(dt1*OPACTB(ix2,ir1,it1)+dt2*OPACTB(ix2,ir1,it2))
& + dr2*(dt1*OPACTB(ix2,ir2,it1)+dt2*OPACTB(ix2,ir2,it2)))
return
98 write(6,*) 'Error reading opacity tables'
stop 'opaltab'
99 write(6,*) 'Error opening opacity tables'
stop 'opaltab'
end
subroutine nucrat(Rho,T,np,nd,nhe3,dtime,E, &
& Rpp,Rhe3he3,Rcno,R3a,R12a,Xpd,Xpc,Xpn,Xpo, &
& Xhe4,Xc,Xn,Xo,xpp23,iflip,iwrite)
include 'parm.h'
c......
double precision k,np,nde,nd,N0,kb,Lambda0,mu,nhe3
double precision n(14),nc,nn,no
COMMON/ABUND/XCA(14),H1(14),A(14)
dimension Xz(14),AA(14),XBA(14)
data Xz/1.d0,2.d0,6.d0,11.d0,12.d0,13.d0,14.d0,16.d0,19.d0,20.d0,&
& 26.d0,7.d0,8.d0,10.d0/
DATA AA/1.0081451d0,4.003874d0,12.0038156d0,23.d0,24.32d0, &
& 26.97d0,28.06d0,32.07d0,39.102d0,40.08d0,55.85d0, &
& 14.0075257d0,16.d0,19.99d0/
DATA Z0,Z1,Z13,HMASS/0.d0,1.d0,0.333333333333333333d0,1.6732D-24/
DATA CV,CV2,CA,CA2/.934d0,.8724d0,0.5d0,0.25d0/
DATA ifirst/0/
c......recalculate helium abundance
c......Given the temperature, the density and an abundance set,
c......this routine returns the nuclear energy generation rate
c......in [ergs/sec/gm]. The reactions considered are:
c......proton:proton 1H(p,e+ve)2H
c......deuterium:proton 2H(p,y)3He
c......He3:He3 3He(3He,H+H)4He
c......Corrections for ppII & ppIII
c......Equilibrium CNO
c......He4:He4:He4 4He(aa,y)12C
c......C:He4 12C(a,y)16O
c......Various high T cooling processes
save
j = abs(iwrite)
if(ifirst.eq.0) then
ifirst=1
do i=1,14
A(i)=AA(i)
xba(i)=xca(i)
enddo
c xmetal=x(4)+x(5)+x(6)+x(7)+x(8)+x(9)+x(10)+x(11)+x(14)
endif
c
Rpp = Z0
Xpd = Z0
Rhe3he3=Z0