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!
! CalculiX - A 3-dimensional finite element program
! Copyright (C) 1998-2015 Guido Dhondt
!
! This program is free software; you can redistribute it and/or
! modify it under the terms of the GNU General Public License as
! published by the Free Software Foundation(version 2);
!
!
! This program is distributed in the hope that it will be useful,
! but WITHOUT ANY WARRANTY; without even the implied warranty of
! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
! GNU General Public License for more details.
!
! You should have received a copy of the GNU General Public License
! along with this program; if not, write to the Free Software
! Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
!
subroutine tt_calc(xflow,Tt,Pt,kappa,r,a,Ts,icase,iflag)
!
! this subroutine solves the implicit equation
! f=xflow*dsqrt(Tt)/(a*Pt)-C*(TtdT)**expon*(Ttdt-1)**0.5d0
! in order to find Tt when ts , xflow, pt and a are given
!
! author: Yannick Muller
!
implicit none
!
integer inv,icase,i,iflag
!
real*8 xflow,Tt,Pt,Ts,kappa,r,f,df,a,expon,Tt_old,C,TtzTs,
& deltaTt,TtzTs_crit, Qred_crit,Qred,h1,h2,h3,Tt_crit
!
expon=-0.5d0*(kappa+1.d0)/(kappa-1.d0)
!
C=dsqrt(2.d0/r*kappa/(kappa-1.d0))
!
! f=xflow*dsqrt(Tt)/(a*Pt)-C*(TtdT)**expon*(Ttdt-1)**0.5d0
!
! df=-C*Ttdt**expon*(expon/Ts*(TtdT-1)**0.5d0
! & -0.5d0*TtdT/Ts*(TtdT-1.d0)**(-0.5d0))
!
Tt_old=Tt
!
!
if(xflow.lt.0d0) then
inv=-1
else
inv=1
endif
!
if(dabs(xflow).le.1e-9) then
Tt=Ts
return
endif
!
Qred=abs(xflow)*dsqrt(Tt)/(a*Pt)
!
c write(*,*) 'epsilon',(Qred/C)**2
!
! optimised estimate of T static
!
Tt=Ts*(1+(Qred**2/C**2))
!
! adiabatic
!
if(icase.eq.0) then
!
TtzTs_crit=(kappa+1.d0)/2.d0
!
! isothermal
!
else
!
! if(iflag.ne.3) then
TtzTs_crit=(1d0+(kappa-1.d0)/(2.d0*kappa))
if(iflag.ne.3) then
Tt_crit=(A*pt/(dabs(xflow))*C*Ttzts_crit**expon*
& (TtzTs_crit-1)**0.5d0)**2
! if(iflag.ne.3) then
if(Tt.gt.Tt_crit) then
Tt=Tt_crit
endif
endif
! Tt=Tt_crit
! Qred=abs(xflow)*dsqrt(Tt)/(a*Pt)
!
endif
!
Qred_crit=C*(TtzTs_crit)**expon*(Ttzts_crit-1.d0)**0.5d0
!
!
if(Qred.ge.Qred_crit) then
!
Tt=Ts*TtzTs_crit
!
return
!
endif
i=0
!
do
i=i+1
Ttzts=Tt/Ts
h1=Ttzts-1.d0
h2= dsqrt(h1)
h3=Ttzts**expon
!
f=C*h2*h3
!
df=0.5*inv*xflow/(A*Pt*dsqrt(Tt))
& -1/Tt*C*h2*h3*(expon+0.5d0*(h1)**(-1))
!
f=Qred-f
deltaTt=-f/df
c write(*,*) 'deltaTs=',deltaTs
!
Tt=Tt+deltaTt
c write(*,*) 'Ts',Ts
!
if( (((dabs(Tt-Tt_old)/tt_old).le.1.E-8))
& .or.((dabs(Tt-Tt_old)).le.1.E-10)
& .or.((f.le.1E-5).and.(deltaTt.lt.1E-3))) then
c write(*,*) 'f=',f
c write(*,*) 'Ts=',Ts
c write(*,*) 'i',i
c$$$c write(*,*) ''
c$$$ write(*,*) 'f',f
c$$$ write(*,*) ''
c$$$ write(*,*) 'Ts',Ts
c$$$ write(*,*) 'Tt',Tt
c$$$ write(*,*) ''
Qred_crit=C*(TtzTs_crit)**expon*(Ttzts_crit-1.d0)**0.5d0
Qred=abs(xflow)*dsqrt(Tt)/(a*Pt)
!
if((Qred.ge.Qred_crit).and.(iflag.eq.3)) then
!
Tt=Ts*TtzTs_crit
!
endif
exit
else if((i.gt.40)) then
Tt=0.99*Ts*TtzTs_crit
c$$$ Tt=1.2*Ts
c$$$ write(*,*) 'Break'
c$$$ write(*,*) 'f',f
c$$$ write(*,*) 'Ts',Ts
c$$$ write(*,*) 'Tt',Tt
c$$$ write(*,*) ''
exit
endif
Tt_old=Tt
enddo
!
C write(*,*) 'end of ts_clac.f'
c write(*,*) ''
return
end
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