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!OPTIONS XOPT(HSFUN) |
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SUBROUTINE LWTT ( KIDIA, KFDIA, KLON, PGA , PGB, PUU , PTT ) |
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!**** *LWTT* - LONGWAVE TRANSMISSION FUNCTIONS |
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! PURPOSE. |
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! -------- |
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! THIS ROUTINE COMPUTES THE TRANSMISSION FUNCTIONS FOR ALL THE |
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! ABSORBERS (H2O, UNIFORMLY MIXED GASES, AND O3) IN ALL SIX SPECTRAL |
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! INTERVALS. |
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!** INTERFACE. |
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! ---------- |
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! *LWTT* IS CALLED FROM *LWVN*, *LWVD*, *LWVB* |
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! EXPLICIT ARGUMENTS : |
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! -------------------- |
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! ==== INPUTS === |
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! KND : ; WEIGHTING INDEX |
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! PUU : (KLON,NUA) ; ABSORBER AMOUNTS |
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! ==== OUTPUTS === |
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! PTT : (KLON,NTRA) ; TRANSMISSION FUNCTIONS |
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! IMPLICIT ARGUMENTS : NONE |
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! -------------------- |
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! METHOD. |
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! ------- |
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! 1. TRANSMISSION FUNCTION BY H2O AND UNIFORMLY MIXED GASES ARE |
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! COMPUTED USING PADE APPROXIMANTS AND HORNER'S ALGORITHM. |
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! 2. TRANSMISSION BY O3 IS EVALUATED WITH MALKMUS'S BAND MODEL. |
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! 3. TRANSMISSION BY H2O CONTINUUM AND AEROSOLS FOLLOW AN |
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! A SIMPLE EXPONENTIAL DECREASE WITH ABSORBER AMOUNT. |
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! EXTERNALS. |
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! ---------- |
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! NONE |
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! REFERENCE. |
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! ---------- |
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! SEE RADIATION'S PART OF THE MODEL'S DOCUMENTATION AND |
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! ECMWF RESEARCH DEPARTMENT DOCUMENTATION OF THE IFS |
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! AUTHOR. |
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! ------- |
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! JEAN-JACQUES MORCRETTE *ECMWF* |
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! MODIFICATIONS. |
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! -------------- |
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! ORIGINAL : 88-12-15 |
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! 97-04-18 JJ Morcrette Revised continuum |
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! M.Hamrud 01-Oct-2003 CY28 Cleaning |
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!----------------------------------------------------------------------- |
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USE PARKIND1 ,ONLY : JPIM ,JPRB |
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USE YOMHOOK ,ONLY : LHOOK, DR_HOOK |
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USE YOELW , ONLY : NTRA ,NUA ,RPTYPE ,RETYPE ,& |
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& RO1H ,RO2H ,RPIALF0 |
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IMPLICIT NONE |
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INTEGER(KIND=JPIM),INTENT(IN) :: KLON |
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INTEGER(KIND=JPIM),INTENT(IN) :: KIDIA |
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INTEGER(KIND=JPIM),INTENT(IN) :: KFDIA |
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REAL(KIND=JPRB) ,INTENT(IN) :: PGA(KLON,8,2) |
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REAL(KIND=JPRB) ,INTENT(IN) :: PGB(KLON,8,2) |
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REAL(KIND=JPRB) ,INTENT(IN) :: PUU(KLON,NUA) |
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REAL(KIND=JPRB) ,INTENT(OUT) :: PTT(KLON,NTRA) |
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! ------------------------------------------------------------------ |
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!* 0.1 ARGUMENTS |
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! --------- |
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INTEGER(KIND=JPIM) :: JA, JL |
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REAL(KIND=JPRB) :: ZA11, ZA12, ZAERCN, ZEU10, ZEU11, ZEU12,& |
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& ZEU13, ZODH41, ZODH42, ZODN21, ZODN22, ZPU10, & |
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& ZPU11, ZPU12, ZPU13, ZSQ1, ZSQ2, ZSQH41, & |
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& ZSQH42, ZSQN21, ZSQN22, ZTO1, ZTO2, ZTTF11, & |
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& ZTTF12, ZUU11, ZUU12, ZUXY, ZVXY, ZX, ZXCH4, & |
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& ZXD, ZXN, ZXN2O, ZY, ZYCH4, ZYN2O, ZZ |
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REAL(KIND=JPRB) :: ZHOOK_HANDLE |
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! ------------------------------------------------------------------ |
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! ------------ |
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! ------------------------------------------------------------------ |
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!DIR$ VFUNCTION SQRTHF |
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!* 1. HORNER'S ALGORITHM FOR H2O AND CO2 TRANSMISSION |
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! ----------------------------------------------- |
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IF (LHOOK) CALL DR_HOOK('LWTT',0,ZHOOK_HANDLE) |
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DO JA = 1 , 8 |
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DO JL = KIDIA,KFDIA |
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ZZ = SQRT(PUU(JL,JA)) |
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ZXD = PGB( JL,JA,1) + ZZ* (PGB( JL,JA,2) + ZZ ) |
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ZXN = PGA( JL,JA,1) + ZZ* (PGA( JL,JA,2) ) |
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PTT(JL,JA) = ZXN / ZXD |
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ENDDO |
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ENDDO |
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DO JL = KIDIA,KFDIA |
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PTT(JL,3)=MAX(PTT(JL,3),0.0_JPRB) |
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ENDDO |
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! ------------------------------------------------------------------ |
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!* 2. CONTINUUM, OZONE AND AEROSOL TRANSMISSION FUNCTIONS |
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! --------------------------------------------------- |
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DO JL = KIDIA,KFDIA |
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PTT(JL, 9) = PTT(JL, 8) |
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!- CONTINUUM ABSORPTION: E- AND P-TYPE (from Giorgetta and Wild, 1997) |
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ZPU10 = RPTYPE(1) * PUU(JL,10) |
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ZPU11 = RPTYPE(2) * PUU(JL,10) |
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ZPU12 = RPTYPE(3) * PUU(JL,10) |
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ZPU13 = RPTYPE(4) * PUU(JL,10) |
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ZEU10 = RETYPE(1) * PUU(JL,11) |
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ZEU11 = RETYPE(2) * PUU(JL,11) |
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ZEU12 = RETYPE(3) * PUU(JL,11) |
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ZEU13 = RETYPE(4) * PUU(JL,11) |
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!- OZONE ABSORPTION |
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ZX = PUU(JL,12) |
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ZY = PUU(JL,13) |
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ZUXY = 4._JPRB * ZX * ZX / (RPIALF0 * ZY) |
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ZSQ1 = SQRT(1.0_JPRB + RO1H * ZUXY ) - 1.0_JPRB |
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ZSQ2 = SQRT(1.0_JPRB + RO2H * ZUXY ) - 1.0_JPRB |
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ZVXY = RPIALF0 * ZY / (2.0_JPRB * ZX) |
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ZAERCN = PUU(JL,17) + ZEU12 + ZPU12 |
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ZTO1 = EXP( - ZVXY * ZSQ1 - ZAERCN ) |
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ZTO2 = EXP( - ZVXY * ZSQ2 - ZAERCN ) |
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!-- TRACE GASES (CH4, N2O, CFC-11, CFC-12) |
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!* CH4 IN INTERVAL 800-970 + 1110-1250 CM-1 |
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ZXCH4 = PUU(JL,19) |
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ZYCH4 = PUU(JL,20) |
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ZUXY = 4._JPRB * ZXCH4*ZXCH4/(0.103_JPRB*ZYCH4) |
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ZSQH41 = SQRT(1.0_JPRB + 33.7_JPRB * ZUXY) - 1.0_JPRB |
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ZVXY = 0.103_JPRB * ZYCH4 / (2.0_JPRB * ZXCH4) |
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ZODH41 = ZVXY * ZSQH41 |
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!* N2O IN INTERVAL 800-970 + 1110-1250 CM-1 |
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ZXN2O = PUU(JL,21) |
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ZYN2O = PUU(JL,22) |
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ZUXY = 4._JPRB * ZXN2O*ZXN2O/(0.416_JPRB*ZYN2O) |
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ZSQN21 = SQRT(1.0_JPRB + 21.3_JPRB * ZUXY) - 1.0_JPRB |
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ZVXY = 0.416_JPRB * ZYN2O / (2.0_JPRB * ZXN2O) |
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ZODN21 = ZVXY * ZSQN21 |
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!* CH4 IN INTERVAL 1250-1450 + 1880-2820 CM-1 |
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ZUXY = 4._JPRB * ZXCH4*ZXCH4/(0.113_JPRB*ZYCH4) |
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ZSQH42 = SQRT(1.0_JPRB + 400._JPRB * ZUXY) - 1.0_JPRB |
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ZVXY = 0.113_JPRB * ZYCH4 / (2.0_JPRB * ZXCH4) |
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ZODH42 = ZVXY * ZSQH42 |
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!* N2O IN INTERVAL 1250-1450 + 1880-2820 CM-1 |
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ZUXY = 4._JPRB * ZXN2O*ZXN2O/(0.197_JPRB*ZYN2O) |
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ZSQN22 = SQRT(1.0_JPRB + 2000._JPRB * ZUXY) - 1.0_JPRB |
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ZVXY = 0.197_JPRB * ZYN2O / (2.0_JPRB * ZXN2O) |
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ZODN22 = ZVXY * ZSQN22 |
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!* CFC-11 IN INTERVAL 800-970 + 1110-1250 CM-1 |
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ZA11 = 2.0_JPRB * PUU(JL,23) * 4.404E+05_JPRB |
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ZTTF11 = 1.0_JPRB - ZA11 * 0.003225_JPRB |
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!* CFC-12 IN INTERVAL 800-970 + 1110-1250 CM-1 |
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ZA12 = 2.0_JPRB * PUU(JL,24) * 6.7435E+05_JPRB |
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ZTTF12 = 1.0_JPRB - ZA12 * 0.003225_JPRB |
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ZUU11 = - PUU(JL,15) - ZEU10 - ZPU10 |
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ZUU12 = - PUU(JL,16) - ZEU11 - ZPU11 - ZODH41 - ZODN21 |
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PTT(JL,10) = EXP( - PUU(JL,14) ) |
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PTT(JL,11) = EXP( ZUU11 ) |
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PTT(JL,12) = EXP( ZUU12 ) * ZTTF11 * ZTTF12 |
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PTT(JL,13) = 0.7554_JPRB * ZTO1 + 0.2446_JPRB * ZTO2 |
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PTT(JL,14) = PTT(JL,10) * EXP( - ZEU13 - ZPU13 ) |
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PTT(JL,15) = EXP ( - PUU(JL,14) - ZODH42 - ZODN22 ) |
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ENDDO |
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IF (LHOOK) CALL DR_HOOK('LWTT',1,ZHOOK_HANDLE) |
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END SUBROUTINE LWTT |