olwttm.F90

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!OPTIONS XOPT(HSFUN)
SUBROUTINE olwttm(KIDIA,KFDIA,KLON, PGA,PGB,PUU1,PUU2, PTT)
!
!**** *LWTT* - LONGWAVE TRANSMISSION FUNCTIONS
!
!     PURPOSE.
!     --------
!           THIS ROUTINE COMPUTES THE TRANSMISSION FUNCTIONS FOR ALL THE
!     ABSORBERS (H2O, UNIFORMLY MIXED GASES, AND O3) IN ALL SIX SPECTRAL
!     INTERVALS.
!
!**   INTERFACE.
!     ----------
!          *LWTT* IS CALLED FROM *LWVN*, *LWVD*, *LWVB*
!
!
!        EXPLICIT ARGUMENTS :
!        --------------------
!     ==== INPUTS ===
! PGA, PGB                     ; PADE APPROXIMANTS
! PUU1   : (KLON,NUA)         ; ABSORBER AMOUNTS FROM TOP TO LEVEL 1
! PUU2   : (KLON,NUA)         ; ABSORBER AMOUNTS FROM TOP TO LEVEL 2  
!     ==== OUTPUTS ===
! PTT    : (KLON,NTRA)        ; TRANSMISSION FUNCTIONS
!
!        IMPLICIT ARGUMENTS :   NONE
!        --------------------
!
!     METHOD.
!     -------
!
!          1. TRANSMISSION FUNCTION BY H2O AND UNIFORMLY MIXED GASES ARE
!     COMPUTED USING PADE APPROXIMANTS AND HORNER'S ALGORITHM.
!          2. TRANSMISSION BY O3 IS EVALUATED WITH MALKMUS'S BAND MODEL.
!          3. TRANSMISSION BY H2O CONTINUUM AND AEROSOLS FOLLOW AN
!     A SIMPLE EXPONENTIAL DECREASE WITH ABSORBER AMOUNT.
!
!     EXTERNALS.
!     ----------
!
!          NONE
!
!     REFERENCE.
!     ----------
!
!        SEE RADIATION'S PART OF THE MODEL'S DOCUMENTATION AND
!        ECMWF RESEARCH DEPARTMENT DOCUMENTATION OF THE IFS
!
!     AUTHOR.
!     -------
!        JEAN-JACQUES MORCRETTE  *ECMWF*
!
!     MODIFICATIONS.
!     --------------
!        ORIGINAL : 88-12-15
!
!-----------------------------------------------------------------------
!      IMPLICIT LOGICAL (L)
!
!#include "yoelw.h"
!#include "yoerad.h"
!#include "yoerdu.h"

#include "tsmbkind.h"

USE yoeolw   , ONLY : ntra     ,nua      ,&
            & o1h     , o2h     ,rpialf0


IMPLICIT NONE


!     DUMMY INTEGER SCALARS
integer_m :: kfdia
integer_m :: kidia
integer_m :: klon

!     ------------------------------------------------------------------
!
!*        0.1   ARGUMENTS
!               ---------
!
real_b :: puu1(klon,nua), puu2(klon,nua), ptt(klon,ntra) &
     &  ,  pga(klon,8,2), pgb(klon,8,2)
!

!     LOCAL INTEGER SCALARS
integer_m :: ja, jl

!     LOCAL REAL SCALARS
real_b :: za11, za12, zaercn, zeu, zeu10, zeu11, zeu12,&
          &zeu13, zodh41, zodh42, zodn21, zodn22, zpu, &
          &zpu10, zpu11, zpu12, zpu13, zsq1, zsq2, zsqh41, &
          &zsqh42, zsqn21, zsqn22, zto1, zto2, zttf11, &
          &zttf12, zuu11, zuu12, zuxy, zvxy, zx, zxch4, &
          &zxd, zxn, zxn2o, zy, zych4, zyn2o, zz

!     ------------------------------------------------------------------
!#!DIR$ VFUNCTION SQRTHF
!
!
!*         1.     HORNER'S ALGORITHM FOR H2O AND CO2 TRANSMISSION
!                 -----------------------------------------------
!
DO ja = 1 , 8
  DO jl = kidia,kfdia
    zz      =sqrt(puu1(jl,ja) - puu2(jl,ja))
    zxd      =pgb( jl,ja,1) + zz       *(pgb( jl,ja,2) + zz       )
    zxn      =pga( jl,ja,1) + zz       *(pga( jl,ja,2) )
    ptt(jl,ja)=zxn      /zxd
  END DO
END DO
!
!     ------------------------------------------------------------------
!
!*         2.     CONTINUUM, OZONE AND AEROSOL TRANSMISSION FUNCTIONS
!                 ---------------------------------------------------
!
DO jl = kidia,kfdia
  ptt(jl, 9) = ptt(jl, 8)
!
!-  CONTINUUM ABSORPTION: E- AND P-TYPE
!
!   10: interval  500- 800
!   11: interval  800- 970 + 1110-1250
!   12: interval  970-1110
!   13: interval  350- 500
!
!  IF (INWCONT.EQ.0) THEN!
!- original ECMWF 16r1 coefficients      
    zpu   = 0.002 * (puu1(jl,10) - puu2(jl,10))
    zpu10 = 112. * zpu
    zpu11 = 6.25 * zpu
    zpu12 = 5.00 * zpu
    zpu13 = 80.0 * zpu
    zeu   = (puu1(jl,11) - puu2(jl,11))
    zeu10 =  12. * zeu
    zeu11 = 6.25 * zeu
    zeu12 = 5.00 * zeu
    zeu13 = 80.0 * zeu
!  ELSE IF (INWCONT.EQ.1) THEN  
!- coefficients proposed by Giorgetta and Wild
!    ZPU   = (PUU1(JL,10) - PUU2(JL,10))
!    ZPU10 =  0.8109 * ZPU
!    ZPU11 =  0.0208 * ZPU
!    ZPU12 =  0.0106 * ZPU
!    ZPU13 = 12.331  * ZPU
!    ZEU   = (PUU1(JL,11) - PUU2(JL,11))
!    ZEU10 =   47.7  * ZEU
!    ZEU11 =    8.31 * ZEU
!    ZEU12 =    5.87 * ZEU
!    ZEU13 =   209.  * ZEU
!  ELSE IF (INWCONT.EQ.2) THEN
!- coefficients adjusted from Clough CKD22 
!    ZPU   = PUU1(JL,10) - PUU2(JL,10)
!    ZPU10 =  0.18    * ZPU
!    ZPU11 =  0.00127 * ZPU
!    ZPU12 =  0.00071 * ZPU
!    ZPU13 =  26.26   * ZPU
!         
!    ZEU   = PUU1(JL,11) - PUU2(JL,11)
!    ZEU10 =    18.   * ZEU
!    ZEU11 =    8.43  * ZEU
!    ZEU12 =    5.08  * ZEU
!    ZEU13 =   721.8  * ZEU
!  END IF   
!
!  IF (LNOCONT) THEN
!    ZPU10 = 0. 
!    ZPU11 = 0.
!    ZPU12 = 0. 
!    ZPU13 = 0. 
!
!    ZEU10 = 0. 
!    ZEU11 = 0. 
!    ZEU12 = 0. 
!    ZEU13 = 0. 
!  END IF
!
!
!-  OZONE ABSORPTION
!
  zx = (puu1(jl,12) - puu2(jl,12))
  zy = (puu1(jl,13) - puu2(jl,13))
  zuxy = 4. * zx * zx / (rpialf0 * zy)
  zsq1 = sqrt(1. + o1h * zuxy ) - 1.
  zsq2 = sqrt(1. + o2h * zuxy ) - 1.
  zvxy = rpialf0 * zy / (2. * zx)
  zaercn = (puu1(jl,17) -puu2(jl,17)) + zeu12 + zpu12
  zto1 = exp( - zvxy * zsq1 - zaercn )
  zto2 = exp( - zvxy * zsq2 - zaercn )
     
!  IF (LNOOZON) THEN
!    ZTO1 = EXP( - ZAERCN )
!    ZTO2 = EXP( - ZAERCN )
!  END IF
!
!-- TRACE GASES (CH4, N2O, CFC-11, CFC-12)
!
!* CH4 IN INTERVAL 800-970 + 1110-1250 CM-1
!
  zxch4 = (puu1(jl,19) - puu2(jl,19))
  zych4 = (puu1(jl,20) - puu2(jl,20))
  zuxy = 4. * zxch4*zxch4/(0.103*zych4)
  zsqh41 = sqrt(1. + 33.7 * zuxy) - 1.
  zvxy = 0.103 * zych4 / (2. * zxch4)
  zodh41 = zvxy * zsqh41
!
!* N2O IN INTERVAL 800-970 + 1110-1250 CM-1
!
  zxn2o = (puu1(jl,21) - puu2(jl,21))
  zyn2o = (puu1(jl,22) - puu2(jl,22))
  zuxy = 4. * zxn2o*zxn2o/(0.416*zyn2o)
  zsqn21 = sqrt(1. + 21.3 * zuxy) - 1.
  zvxy = 0.416 * zyn2o / (2. * zxn2o)
  zodn21 = zvxy * zsqn21
!
!* CH4 IN INTERVAL 1250-1450 + 1880-2820 CM-1
!
  zuxy = 4. * zxch4*zxch4/(0.113*zych4)
  zsqh42 = sqrt(1. + 400. * zuxy) - 1.
  zvxy = 0.113 * zych4 / (2. * zxch4)
  zodh42 = zvxy * zsqh42
!
!* N2O IN INTERVAL 1250-1450 + 1880-2820 CM-1
!
  zuxy = 4. * zxn2o*zxn2o/(0.197*zyn2o)
  zsqn22 = sqrt(1. + 2000. * zuxy) - 1.
  zvxy = 0.197 * zyn2o / (2. * zxn2o)
  zodn22 = zvxy * zsqn22
!
!* CFC-11 IN INTERVAL 800-970 + 1110-1250 CM-1
!
  za11 = (puu1(jl,23) - puu2(jl,23)) * 4.404e+05
  zttf11 = 1. - za11 * 0.003225
!
!* CFC-12 IN INTERVAL 800-970 + 1110-1250 CM-1
!
  za12 = (puu1(jl,24) - puu2(jl,24)) * 6.7435e+05
  zttf12 = 1. - za12 * 0.003225
!
      
!  IF (LNOUMG) THEN
!    PTT(JL,7) = 1.
!    PTT(JL,8) = 1.
!    PTT(JL,9) = 1.
!    ZODH41 = 0.
!    ZODH42 = 0.
!    ZODN21 = 0.
!    ZODN22 = 0.
!    ZTTF11 = 1.
!    ZTTF12 = 1.
!  END IF  
       
  zuu11 = - (puu1(jl,15) - puu2(jl,15)) - zeu10 - zpu10
  zuu12 = - (puu1(jl,16) - puu2(jl,16)) - zeu11 - zpu11 - &
  &         zodh41 - zodn21
  ptt(jl,10) = exp( - (puu1(jl,14)- puu2(jl,14)) )
  ptt(jl,11) = exp( zuu11 )
  ptt(jl,12) = exp( zuu12 ) * zttf11 * zttf12
  ptt(jl,13) = 0.7554 * zto1 + 0.2446 * zto2
  ptt(jl,14) = ptt(jl,10) * exp( - zeu13 - zpu13 )
  ptt(jl,15) = exp( - (puu1(jl,14) - puu2(jl,14)) - zodh42-zodn22 )
END DO
!
RETURN
END SUBROUTINE olwttm