| 1 | !OPTIONS XOPT(HSFUN) |
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| 2 | SUBROUTINE LWTT ( KIDIA, KFDIA, KLON, PGA , PGB, PUU , PTT ) |
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| 3 | |
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| 4 | !**** *LWTT* - LONGWAVE TRANSMISSION FUNCTIONS |
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| 5 | |
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| 6 | ! PURPOSE. |
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| 7 | ! -------- |
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| 8 | ! THIS ROUTINE COMPUTES THE TRANSMISSION FUNCTIONS FOR ALL THE |
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| 9 | ! ABSORBERS (H2O, UNIFORMLY MIXED GASES, AND O3) IN ALL SIX SPECTRAL |
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| 10 | ! INTERVALS. |
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| 11 | |
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| 12 | !** INTERFACE. |
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| 13 | ! ---------- |
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| 14 | ! *LWTT* IS CALLED FROM *LWVN*, *LWVD*, *LWVB* |
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| 15 | |
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| 16 | |
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| 17 | ! EXPLICIT ARGUMENTS : |
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| 18 | ! -------------------- |
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| 19 | ! ==== INPUTS === |
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| 20 | ! KND : ; WEIGHTING INDEX |
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| 21 | ! PUU : (KLON,NUA) ; ABSORBER AMOUNTS |
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| 22 | ! ==== OUTPUTS === |
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| 23 | ! PTT : (KLON,NTRA) ; TRANSMISSION FUNCTIONS |
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| 24 | |
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| 25 | ! IMPLICIT ARGUMENTS : NONE |
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| 26 | ! -------------------- |
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| 27 | |
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| 28 | ! METHOD. |
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| 29 | ! ------- |
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| 30 | |
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| 31 | ! 1. TRANSMISSION FUNCTION BY H2O AND UNIFORMLY MIXED GASES ARE |
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| 32 | ! COMPUTED USING PADE APPROXIMANTS AND HORNER'S ALGORITHM. |
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| 33 | ! 2. TRANSMISSION BY O3 IS EVALUATED WITH MALKMUS'S BAND MODEL. |
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| 34 | ! 3. TRANSMISSION BY H2O CONTINUUM AND AEROSOLS FOLLOW AN |
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| 35 | ! A SIMPLE EXPONENTIAL DECREASE WITH ABSORBER AMOUNT. |
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| 36 | |
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| 37 | ! EXTERNALS. |
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| 38 | ! ---------- |
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| 39 | |
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| 40 | ! NONE |
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| 41 | |
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| 42 | ! REFERENCE. |
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| 43 | ! ---------- |
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| 44 | |
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| 45 | ! SEE RADIATION'S PART OF THE MODEL'S DOCUMENTATION AND |
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| 46 | ! ECMWF RESEARCH DEPARTMENT DOCUMENTATION OF THE IFS |
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| 47 | |
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| 48 | ! AUTHOR. |
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| 49 | ! ------- |
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| 50 | ! JEAN-JACQUES MORCRETTE *ECMWF* |
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| 51 | |
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| 52 | ! MODIFICATIONS. |
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| 53 | ! -------------- |
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| 54 | ! ORIGINAL : 88-12-15 |
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| 55 | ! 97-04-18 JJ Morcrette Revised continuum |
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| 56 | |
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| 57 | !----------------------------------------------------------------------- |
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| 58 | |
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| 59 | #include "tsmbkind.h" |
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| 60 | |
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| 61 | USE YOELW , ONLY : NTRA ,NUA ,RPTYPE ,RETYPE ,& |
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| 62 | &RO1H ,RO2H ,RPIALF0 |
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| 63 | |
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| 64 | |
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| 65 | IMPLICIT NONE |
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| 66 | |
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| 67 | |
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| 68 | ! DUMMY INTEGER SCALARS |
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| 69 | INTEGER_M :: KFDIA |
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| 70 | INTEGER_M :: KIDIA |
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| 71 | INTEGER_M :: KLON |
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| 72 | |
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| 73 | |
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| 74 | |
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| 75 | ! ------------------------------------------------------------------ |
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| 76 | |
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| 77 | !* 0.1 ARGUMENTS |
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| 78 | ! --------- |
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| 79 | |
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| 80 | REAL_B :: PUU(KLON,NUA), PTT(KLON,NTRA), PGA(KLON,8,2), PGB(KLON,8,2) |
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| 81 | |
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| 82 | ! LOCAL INTEGER SCALARS |
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| 83 | INTEGER_M :: JA, JL |
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| 84 | |
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| 85 | ! LOCAL REAL SCALARS |
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| 86 | REAL_B :: ZA11, ZA12, ZAERCN, ZEU10, ZEU11, ZEU12,& |
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| 87 | &ZEU13, ZODH41, ZODH42, ZODN21, ZODN22, ZPU10, & |
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| 88 | &ZPU11, ZPU12, ZPU13, ZSQ1, ZSQ2, ZSQH41, & |
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| 89 | &ZSQH42, ZSQN21, ZSQN22, ZTO1, ZTO2, ZTTF11, & |
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| 90 | &ZTTF12, ZUU11, ZUU12, ZUXY, ZVXY, ZX, ZXCH4, & |
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| 91 | &ZXD, ZXN, ZXN2O, ZY, ZYCH4, ZYN2O, ZZ |
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| 92 | |
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| 93 | |
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| 94 | ! ------------------------------------------------------------------ |
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| 95 | |
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| 96 | !* 0.2 LOCAL ARRAYS |
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| 97 | ! ------------ |
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| 98 | |
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| 99 | ! ------------------------------------------------------------------ |
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| 100 | !DIR$ VFUNCTION SQRTHF |
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| 101 | |
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| 102 | !* 1. HORNER'S ALGORITHM FOR H2O AND CO2 TRANSMISSION |
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| 103 | ! ----------------------------------------------- |
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| 104 | |
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| 105 | DO JA = 1 , 8 |
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| 106 | DO JL = KIDIA,KFDIA |
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| 107 | ZZ = SQRT(PUU(JL,JA)) |
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| 108 | ZXD = PGB( JL,JA,1) + ZZ* (PGB( JL,JA,2) + ZZ ) |
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| 109 | ZXN = PGA( JL,JA,1) + ZZ* (PGA( JL,JA,2) ) |
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| 110 | PTT(JL,JA) = ZXN / ZXD |
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| 111 | ENDDO |
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| 112 | ENDDO |
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| 113 | |
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| 114 | DO JL = KIDIA,KFDIA |
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| 115 | PTT(JL,3)=MAX(PTT(JL,3),_ZERO_) |
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| 116 | ENDDO |
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| 117 | ! ------------------------------------------------------------------ |
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| 118 | |
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| 119 | !* 2. CONTINUUM, OZONE AND AEROSOL TRANSMISSION FUNCTIONS |
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| 120 | ! --------------------------------------------------- |
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| 121 | |
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| 122 | DO JL = KIDIA,KFDIA |
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| 123 | PTT(JL, 9) = PTT(JL, 8) |
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| 124 | |
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| 125 | !- CONTINUUM ABSORPTION: E- AND P-TYPE (from Giorgetta and Wild, 1997) |
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| 126 | |
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| 127 | ZPU10 = RPTYPE(1) * PUU(JL,10) |
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| 128 | ZPU11 = RPTYPE(2) * PUU(JL,10) |
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| 129 | ZPU12 = RPTYPE(3) * PUU(JL,10) |
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| 130 | ZPU13 = RPTYPE(4) * PUU(JL,10) |
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| 131 | ZEU10 = RETYPE(1) * PUU(JL,11) |
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| 132 | ZEU11 = RETYPE(2) * PUU(JL,11) |
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| 133 | ZEU12 = RETYPE(3) * PUU(JL,11) |
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| 134 | ZEU13 = RETYPE(4) * PUU(JL,11) |
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| 135 | |
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| 136 | !- OZONE ABSORPTION |
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| 137 | |
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| 138 | ZX = PUU(JL,12) |
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| 139 | ZY = PUU(JL,13) |
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| 140 | ZUXY = 4._JPRB * ZX * ZX / (RPIALF0 * ZY) |
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| 141 | ZSQ1 = SQRT(_ONE_ + RO1H * ZUXY ) - _ONE_ |
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| 142 | ZSQ2 = SQRT(_ONE_ + RO2H * ZUXY ) - _ONE_ |
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| 143 | ZVXY = RPIALF0 * ZY / (_TWO_ * ZX) |
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| 144 | ZAERCN = PUU(JL,17) + ZEU12 + ZPU12 |
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| 145 | ZTO1 = EXP( - ZVXY * ZSQ1 - ZAERCN ) |
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| 146 | ZTO2 = EXP( - ZVXY * ZSQ2 - ZAERCN ) |
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| 147 | |
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| 148 | !-- TRACE GASES (CH4, N2O, CFC-11, CFC-12) |
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| 149 | |
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| 150 | !* CH4 IN INTERVAL 800-970 + 1110-1250 CM-1 |
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| 151 | |
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| 152 | ZXCH4 = PUU(JL,19) |
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| 153 | ZYCH4 = PUU(JL,20) |
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| 154 | ZUXY = 4._JPRB * ZXCH4*ZXCH4/(0.103_JPRB*ZYCH4) |
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| 155 | ZSQH41 = SQRT(_ONE_ + 33.7_JPRB * ZUXY) - _ONE_ |
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| 156 | ZVXY = 0.103_JPRB * ZYCH4 / (_TWO_ * ZXCH4) |
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| 157 | ZODH41 = ZVXY * ZSQH41 |
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| 158 | |
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| 159 | !* N2O IN INTERVAL 800-970 + 1110-1250 CM-1 |
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| 160 | |
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| 161 | ZXN2O = PUU(JL,21) |
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| 162 | ZYN2O = PUU(JL,22) |
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| 163 | ZUXY = 4._JPRB * ZXN2O*ZXN2O/(0.416_JPRB*ZYN2O) |
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| 164 | ZSQN21 = SQRT(_ONE_ + 21.3_JPRB * ZUXY) - _ONE_ |
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| 165 | ZVXY = 0.416_JPRB * ZYN2O / (_TWO_ * ZXN2O) |
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| 166 | ZODN21 = ZVXY * ZSQN21 |
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| 167 | |
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| 168 | !* CH4 IN INTERVAL 1250-1450 + 1880-2820 CM-1 |
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| 169 | |
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| 170 | ZUXY = 4._JPRB * ZXCH4*ZXCH4/(0.113_JPRB*ZYCH4) |
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| 171 | ZSQH42 = SQRT(_ONE_ + 400._JPRB * ZUXY) - _ONE_ |
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| 172 | ZVXY = 0.113_JPRB * ZYCH4 / (_TWO_ * ZXCH4) |
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| 173 | ZODH42 = ZVXY * ZSQH42 |
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| 174 | |
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| 175 | !* N2O IN INTERVAL 1250-1450 + 1880-2820 CM-1 |
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| 176 | |
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| 177 | ZUXY = 4._JPRB * ZXN2O*ZXN2O/(0.197_JPRB*ZYN2O) |
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| 178 | ZSQN22 = SQRT(_ONE_ + 2000._JPRB * ZUXY) - _ONE_ |
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| 179 | ZVXY = 0.197_JPRB * ZYN2O / (_TWO_ * ZXN2O) |
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| 180 | ZODN22 = ZVXY * ZSQN22 |
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| 181 | |
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| 182 | !* CFC-11 IN INTERVAL 800-970 + 1110-1250 CM-1 |
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| 183 | |
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| 184 | ZA11 = _TWO_ * PUU(JL,23) * 4.404E+05_JPRB |
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| 185 | ZTTF11 = _ONE_ - ZA11 * 0.003225_JPRB |
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| 186 | |
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| 187 | !* CFC-12 IN INTERVAL 800-970 + 1110-1250 CM-1 |
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| 188 | |
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| 189 | ZA12 = _TWO_ * PUU(JL,24) * 6.7435E+05_JPRB |
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| 190 | ZTTF12 = _ONE_ - ZA12 * 0.003225_JPRB |
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| 191 | |
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| 192 | ZUU11 = - PUU(JL,15) - ZEU10 - ZPU10 |
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| 193 | ZUU12 = - PUU(JL,16) - ZEU11 - ZPU11 - ZODH41 - ZODN21 |
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| 194 | PTT(JL,10) = EXP( - PUU(JL,14) ) |
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| 195 | PTT(JL,11) = EXP( ZUU11 ) |
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| 196 | PTT(JL,12) = EXP( ZUU12 ) * ZTTF11 * ZTTF12 |
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| 197 | PTT(JL,13) = 0.7554_JPRB * ZTO1 + 0.2446_JPRB * ZTO2 |
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| 198 | PTT(JL,14) = PTT(JL,10) * EXP( - ZEU13 - ZPU13 ) |
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| 199 | PTT(JL,15) = EXP ( - PUU(JL,14) - ZODH42 - ZODN22 ) |
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| 200 | |
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| 201 | ENDDO |
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| 202 | |
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| 203 | RETURN |
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| 204 | END SUBROUTINE LWTT |
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