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! Created by Andrey Debolskiy on 17.12.2023.
module state_utils
public geo
public theta2ta
public ta2theta
public dqsdt_sc, qmax_sc, qmax
public DQSDT2, DQSDT, CLDT
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contains
SUBROUTINE GEO(T,FS,F,SIG, R, LL)
implicit none
integer, intent(in):: LL
real, intent(in):: T(LL)
real, intent(in):: SIG(LL)
real, intent(in):: FS
real, intent(out):: F(LL)
real, intent(in):: R
integer k, ka
F(LL)=FS-ALOG(SIG(LL))*R*T(LL)
do K=LL-1,1,-1
KA=K+1
F(K)=F(KA)+0.5E0*R*(ALOG(SIG(KA))-ALOG(SIG(K)))* &
(T(KA)+T(K))
end do
END SUBROUTINE GEO
subroutine theta2ta(ta, theta, p0, sig, appa, kl)
implicit none
real, dimension(kl), intent(in):: theta
real, dimension(kl), intent(in)::sig
real, intent(in):: p0, appa
integer, intent(in):: kl
real, dimension(kl), intent(out):: ta
integer k
do k=1,kl
ta(k) = theta(k) * (p0 * sig(k))**appa
end do
end subroutine theta2ta
subroutine ta2theta(theta, ta, p0, sig, appa, kl)
implicit none
real, dimension(kl), intent(in):: ta
real, dimension(kl), intent(in)::sig
real, intent(in):: p0, appa
integer, intent(in):: kl
real, dimension(kl), intent(out):: theta
integer k
do k=1,kl
theta(k) = ta(k) * (p0 * sig(k))**(-appa)
end do
end subroutine ta2theta
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real function qmax_sc(t, p, aa)
implicit none
real, intent(in) :: t, p, aa
real :: pb2, pb
pb2 = t - 273.2e0
if ((aa.gt.1.0e0.and.pb2.ge.0.0e0).or.(aa.lt.1.0e0.and.pb2.ge.-12.0e0)) then
pb=17.55e0/(t-31.1e0)
else
pb=21.85e0/(t-7.65e0)
end if
qmax_sc=3.80042e-3*exp(pb*pb2)/p
end function qmax_sc
real function qmax(T,P, AA )
IMPLICIT NONE
real, intent(in):: t, p, aa
!local
real pb2, pb
PB2=T-273.2E0
IF((AA.GT.1.0E0.AND.PB2.GE.0.0E0).OR. &
(AA.LT.1.0E0.AND.PB2.GE.-12.0E0))THEN
PB=17.55E0/(T-31.1E0 )
ELSE
PB=21.85E0/(T-7.65E0)
ENDIF
QMAX=3.80042E-3*EXP(PB*PB2)/P
RETURN
end function qmax
real function dqsdt_sc(a, b, h)
real, intent(in) :: a, b, h
dqsdt_sc=4248.855e0*h*qmax_sc(a,b, 0.0e0)/(a-31.10e0)**2
end function dqsdt_sc
REAL FUNCTION CLDT(Q,T,P,C)
!
IMPLICIT NONE
REAL, INTENT(IN) :: Q,T,P,C
! REAL DQSDT
!REAL :: QMAX
CLDT=(Q-C*QMAX(T,P, 0.0E0))/(1.0E0+2488.851E0*DQSDT(T,P,C))
RETURN
END FUNCTION CLDT
REAL FUNCTION DQSDT(A,B,H)
!
IMPLICIT NONE
REAL, INTENT(IN) :: A, B, H
!REAL :: QMAX
DQSDT=4248.855E0*H*QMAX(A,B, 0.0E0)/(A-31.10E0)**2
RETURN
END FUNCTION DQSDT
REAL FUNCTION DQSDT2(A,B,H)
IMPLICIT NONE
REAL, INTENT(IN) :: A, B, H
! REAL DQSDT
!REAL :: QMAX
DQSDT2=4248.855E0*H*(DQSDT(A,B, H )/(A-31.10E0)**2 - &
2.0E0*QMAX (A,B, 0.0E0)/(A-31.10E0)**3)
RETURN
END FUNCTION DQSDT2