!OPTIONS XOPT(HSFUN) SUBROUTINE LWTT ( KIDIA, KFDIA, KLON, PGA , PGB, PUU , 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 === ! KND : ; WEIGHTING INDEX ! PUU : (KLON,NUA) ; ABSORBER AMOUNTS ! ==== 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 ! 97-04-18 JJ Morcrette Revised continuum ! M.Hamrud 01-Oct-2003 CY28 Cleaning !----------------------------------------------------------------------- USE PARKIND1 ,ONLY : JPIM ,JPRB USE YOMHOOK ,ONLY : LHOOK, DR_HOOK USE YOELW , ONLY : NTRA ,NUA ,RPTYPE ,RETYPE ,& & RO1H ,RO2H ,RPIALF0 IMPLICIT NONE INTEGER(KIND=JPIM),INTENT(IN) :: KLON INTEGER(KIND=JPIM),INTENT(IN) :: KIDIA INTEGER(KIND=JPIM),INTENT(IN) :: KFDIA REAL(KIND=JPRB) ,INTENT(IN) :: PGA(KLON,8,2) REAL(KIND=JPRB) ,INTENT(IN) :: PGB(KLON,8,2) REAL(KIND=JPRB) ,INTENT(IN) :: PUU(KLON,NUA) REAL(KIND=JPRB) ,INTENT(OUT) :: PTT(KLON,NTRA) ! ------------------------------------------------------------------ !* 0.1 ARGUMENTS ! --------- INTEGER(KIND=JPIM) :: JA, JL REAL(KIND=JPRB) :: ZA11, ZA12, ZAERCN, ZEU10, ZEU11, ZEU12,& & ZEU13, ZODH41, ZODH42, ZODN21, ZODN22, 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 REAL(KIND=JPRB) :: ZHOOK_HANDLE ! ------------------------------------------------------------------ ! ------------ ! ------------------------------------------------------------------ !DIR$ VFUNCTION SQRTHF !* 1. HORNER'S ALGORITHM FOR H2O AND CO2 TRANSMISSION ! ----------------------------------------------- IF (LHOOK) CALL DR_HOOK('LWTT',0,ZHOOK_HANDLE) DO JA = 1 , 8 DO JL = KIDIA,KFDIA ZZ = SQRT(PUU(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 ENDDO ENDDO DO JL = KIDIA,KFDIA PTT(JL,3)=MAX(PTT(JL,3),0.0_JPRB) ENDDO ! ------------------------------------------------------------------ !* 2. CONTINUUM, OZONE AND AEROSOL TRANSMISSION FUNCTIONS ! --------------------------------------------------- DO JL = KIDIA,KFDIA PTT(JL, 9) = PTT(JL, 8) !- CONTINUUM ABSORPTION: E- AND P-TYPE (from Giorgetta and Wild, 1997) ZPU10 = RPTYPE(1) * PUU(JL,10) ZPU11 = RPTYPE(2) * PUU(JL,10) ZPU12 = RPTYPE(3) * PUU(JL,10) ZPU13 = RPTYPE(4) * PUU(JL,10) ZEU10 = RETYPE(1) * PUU(JL,11) ZEU11 = RETYPE(2) * PUU(JL,11) ZEU12 = RETYPE(3) * PUU(JL,11) ZEU13 = RETYPE(4) * PUU(JL,11) !- OZONE ABSORPTION ZX = PUU(JL,12) ZY = PUU(JL,13) ZUXY = 4._JPRB * ZX * ZX / (RPIALF0 * ZY) ZSQ1 = SQRT(1.0_JPRB + RO1H * ZUXY ) - 1.0_JPRB ZSQ2 = SQRT(1.0_JPRB + RO2H * ZUXY ) - 1.0_JPRB ZVXY = RPIALF0 * ZY / (2.0_JPRB * ZX) ZAERCN = PUU(JL,17) + ZEU12 + ZPU12 ZTO1 = EXP( - ZVXY * ZSQ1 - ZAERCN ) ZTO2 = EXP( - ZVXY * ZSQ2 - ZAERCN ) !-- TRACE GASES (CH4, N2O, CFC-11, CFC-12) !* CH4 IN INTERVAL 800-970 + 1110-1250 CM-1 ZXCH4 = PUU(JL,19) ZYCH4 = PUU(JL,20) ZUXY = 4._JPRB * ZXCH4*ZXCH4/(0.103_JPRB*ZYCH4) ZSQH41 = SQRT(1.0_JPRB + 33.7_JPRB * ZUXY) - 1.0_JPRB ZVXY = 0.103_JPRB * ZYCH4 / (2.0_JPRB * ZXCH4) ZODH41 = ZVXY * ZSQH41 !* N2O IN INTERVAL 800-970 + 1110-1250 CM-1 ZXN2O = PUU(JL,21) ZYN2O = PUU(JL,22) ZUXY = 4._JPRB * ZXN2O*ZXN2O/(0.416_JPRB*ZYN2O) ZSQN21 = SQRT(1.0_JPRB + 21.3_JPRB * ZUXY) - 1.0_JPRB ZVXY = 0.416_JPRB * ZYN2O / (2.0_JPRB * ZXN2O) ZODN21 = ZVXY * ZSQN21 !* CH4 IN INTERVAL 1250-1450 + 1880-2820 CM-1 ZUXY = 4._JPRB * ZXCH4*ZXCH4/(0.113_JPRB*ZYCH4) ZSQH42 = SQRT(1.0_JPRB + 400._JPRB * ZUXY) - 1.0_JPRB ZVXY = 0.113_JPRB * ZYCH4 / (2.0_JPRB * ZXCH4) ZODH42 = ZVXY * ZSQH42 !* N2O IN INTERVAL 1250-1450 + 1880-2820 CM-1 ZUXY = 4._JPRB * ZXN2O*ZXN2O/(0.197_JPRB*ZYN2O) ZSQN22 = SQRT(1.0_JPRB + 2000._JPRB * ZUXY) - 1.0_JPRB ZVXY = 0.197_JPRB * ZYN2O / (2.0_JPRB * ZXN2O) ZODN22 = ZVXY * ZSQN22 !* CFC-11 IN INTERVAL 800-970 + 1110-1250 CM-1 ZA11 = 2.0_JPRB * PUU(JL,23) * 4.404E+05_JPRB ZTTF11 = 1.0_JPRB - ZA11 * 0.003225_JPRB !* CFC-12 IN INTERVAL 800-970 + 1110-1250 CM-1 ZA12 = 2.0_JPRB * PUU(JL,24) * 6.7435E+05_JPRB ZTTF12 = 1.0_JPRB - ZA12 * 0.003225_JPRB ZUU11 = - PUU(JL,15) - ZEU10 - ZPU10 ZUU12 = - PUU(JL,16) - ZEU11 - ZPU11 - ZODH41 - ZODN21 PTT(JL,10) = EXP( - PUU(JL,14) ) PTT(JL,11) = EXP( ZUU11 ) PTT(JL,12) = EXP( ZUU12 ) * ZTTF11 * ZTTF12 PTT(JL,13) = 0.7554_JPRB * ZTO1 + 0.2446_JPRB * ZTO2 PTT(JL,14) = PTT(JL,10) * EXP( - ZEU13 - ZPU13 ) PTT(JL,15) = EXP ( - PUU(JL,14) - ZODH42 - ZODN22 ) ENDDO IF (LHOOK) CALL DR_HOOK('LWTT',1,ZHOOK_HANDLE) END SUBROUTINE LWTT