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Update saturation calculation based on model. #61

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Jan 8, 2024
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Update saturation calculation based on model. #61

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a19341f
Update the algorithm of the saturation mixing ratio in non-var cloud …
hu5970 Jan 5, 2024
1b41fe3
Improved the code based on Anders comments.
hu5970 Jan 8, 2024
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106 changes: 92 additions & 14 deletions cloudanalysis.fd/NonVarCldLib/cloud_saturation.f90
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Original file line number Diff line number Diff line change
Expand Up @@ -267,7 +267,10 @@ function ruc_saturation(Temp,pressure)
!
! PROGRAM HISTORY LOG:
! 2011-11-28 Hu Initial
!
! 2024-01-05 Hu Use funtion RSLF and RSIF from fv3 model
! (module_mp_thompson.F90) to caculate
! the liquid saturation vapor mixingt ratio and
! the ice saturation vapor mixing ratio
!
! input argument list:
! pressure - background pressure (hPa)
Expand All @@ -291,45 +294,120 @@ function ruc_saturation(Temp,pressure)
!
!_____________________________________________________________________

use constants, only: rd_over_cp, h1000,one,zero
use constants, only: one,zero
use kinds, only: r_single,i_kind, r_kind
!
implicit none
real(r_single) :: ruc_saturation
real :: RSLF,RSIF

REAL(r_kind), intent(in) :: Temp ! temperature in K
real(r_single),intent(in) :: pressure ! pressure (hpa)
real :: pressure_pa,temp_real

real(r_kind) :: es0_p
parameter (es0_p=6.1121_r_kind) ! saturation vapor pressure (mb)
real(r_kind) SVP1,SVP2,SVP3
data SVP1,SVP2,SVP3/es0_p,17.67_r_kind,29.65_r_kind/
!ruc real(r_kind) :: es0_p
!ruc parameter (es0_p=6.1121_r_kind) ! saturation vapor pressure (mb)
!ruc real(r_kind) SVP1,SVP2,SVP3
!ruc data SVP1,SVP2,SVP3/es0_p,17.67_r_kind,29.65_r_kind/

real(r_kind) :: temp_qvis1, temp_qvis2
data temp_qvis1, temp_qvis2 /268.15_r_kind, 263.15_r_kind/

REAL(r_kind) :: evs, qvs1, eis, qvi1, watwgt
!ruc REAL(r_kind) :: evs, qvs1, eis, qvi1, watwgt
REAL(r_kind) :: qvs1, qvi1, watwgt
!

temp_real=Temp
pressure_pa=pressure*100.0 ! covert to Pa
!
! evs, eis in mb
! For this part, must use the water/ice saturation as f(temperature)
evs = svp1*exp(SVP2*(Temp-273.15_r_kind)/(Temp-SVP3))
qvs1 = 0.62198_r_kind*evs/(pressure-evs) ! qvs1 is mixing ratio kg/kg
!ruc evs = svp1*exp(SVP2*(Temp-273.15_r_kind)/(Temp-SVP3))
!ruc qvs1 = 0.62198_r_kind*evs/(pressure-evs) ! qvs1 is mixing ratio kg/kg
qvs1 = RSLF(pressure_pa,temp_real)
! so no need next line
! qvs1 = qvs1/(1.0-qvs1)
! Get ice saturation and weighted ice/water saturation ready to go
! for ensuring cloud saturation below.
eis = svp1 *exp(22.514_r_kind - 6.15e3_r_kind/Temp)
qvi1 = 0.62198_r_kind*eis/(pressure-eis) ! qvi1 is mixing ratio kg/kg,
!ruc eis = svp1 *exp(22.514_r_kind - 6.15e3_r_kind/Temp)
!ruc qvi1 = 0.62198_r_kind*eis/(pressure-eis) ! qvi1 is mixing ratio kg/kg,
qvi1 = RSIF(pressure_pa,temp_real)
! so no need next line
! qvi1 = qvi1/(1.0-qvi1)
! watwgt = max(0.,min(1.,(Temp-233.15)/(263.15-233.15)))
! watwgt = max(zero,min(one,(Temp-251.15_r_kind)/&
! (263.15_r_kind-251.15_r_kind)))
! ph - 2/7/2012 - use ice mixing ratio only for temp < 263.15
watwgt = max(zero,min(one,(Temp-temp_qvis2)/&
watwgt = max(zero,min(one,(Temp-temp_qvis2)/&
(temp_qvis1-temp_qvis2)))
ruc_saturation= (watwgt*qvs1 + (one-watwgt)*qvi1) ! kg/kg
ruc_saturation= (watwgt*qvs1 + (one-watwgt)*qvi1) ! kg/kg
!
end function ruc_saturation

!+---+-----------------------------------------------------------------+
!! from aathompson
!! THIS FUNCTION CALCULATES THE LIQUID SATURATION VAPOR MIXING RATIO AS
!! A FUNCTION OF TEMPERATURE AND PRESSURE
REAL FUNCTION RSLF(P,T)

IMPLICIT NONE
REAL, INTENT(IN):: P, T
REAL:: ESL,X
REAL, PARAMETER:: C0= .611583699E03
REAL, PARAMETER:: C1= .444606896E02
REAL, PARAMETER:: C2= .143177157E01
REAL, PARAMETER:: C3= .264224321E-1
REAL, PARAMETER:: C4= .299291081E-3
REAL, PARAMETER:: C5= .203154182E-5
REAL, PARAMETER:: C6= .702620698E-8
REAL, PARAMETER:: C7= .379534310E-11
REAL, PARAMETER:: C8=-.321582393E-13

X=MAX(-80.,T-273.16)

! ESL=612.2*EXP(17.67*X/(T-29.65))
ESL=C0+X*(C1+X*(C2+X*(C3+X*(C4+X*(C5+X*(C6+X*(C7+X*C8)))))))
ESL=MIN(ESL, P*0.15) ! Even with P=1050mb and T=55C, the sat. vap.
! pres only contributes to ~15% of total pres.
RSLF=.622*ESL/max(1.e-4,(P-ESL))

! ALTERNATIVE
! ; Source: Murphy and Koop, Review of the vapour pressure of ice and
! supercooled water for atmospheric applications, Q. J. R.
! Meteorol. Soc (2005), 131, pp. 1539-1565.
! ESL = EXP(54.842763 - 6763.22 / T - 4.210 * ALOG(T) + 0.000367 * T
! + TANH(0.0415 * (T - 218.8)) * (53.878 - 1331.22
! / T - 9.44523 * ALOG(T) + 0.014025 * T))

END FUNCTION RSLF
!+---+-----------------------------------------------------------------+
!! from aathompson
!! THIS FUNCTION CALCULATES THE ICE SATURATION VAPOR MIXING RATIO AS A
!! FUNCTION OF TEMPERATURE AND PRESSURE
REAL FUNCTION RSIF(P,T)

IMPLICIT NONE
REAL, INTENT(IN):: P, T
REAL:: ESI,X
REAL, PARAMETER:: C0= .609868993E03
REAL, PARAMETER:: C1= .499320233E02
REAL, PARAMETER:: C2= .184672631E01
REAL, PARAMETER:: C3= .402737184E-1
REAL, PARAMETER:: C4= .565392987E-3
REAL, PARAMETER:: C5= .521693933E-5
REAL, PARAMETER:: C6= .307839583E-7
REAL, PARAMETER:: C7= .105785160E-9
REAL, PARAMETER:: C8= .161444444E-12

X=MAX(-80.,T-273.16)
ESI=C0+X*(C1+X*(C2+X*(C3+X*(C4+X*(C5+X*(C6+X*(C7+X*C8)))))))
ESI=MIN(ESI, P*0.15)
RSIF=.622*ESI/max(1.e-4,(P-ESI))

! ALTERNATIVE
! ; Source: Murphy and Koop, Review of the vapour pressure of ice and
! supercooled water for atmospheric applications, Q. J. R.
! Meteorol. Soc (2005), 131, pp. 1539-1565.
! ESI = EXP(9.550426 - 5723.265/T + 3.53068*ALOG(T) - 0.00728332*T)

END FUNCTION RSIF