| 1 | !OPTIONS XOPT(HSFUN) |
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| 2 | SUBROUTINE OLWTT (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 | ! |
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| 56 | !----------------------------------------------------------------------- |
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| 57 | ! IMPLICIT LOGICAL (L) |
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| 58 | ! |
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| 59 | !#include "yoelw.h" |
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| 60 | !#include "yoerad.h" |
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| 61 | !#include "yoerdu.h" |
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| 62 | |
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| 63 | #include "tsmbkind.h" |
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| 64 | |
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| 65 | USE YOEOLW , ONLY : NTRA ,NUA ,& |
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| 66 | & O1H , O2H ,RPIALF0 |
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| 67 | |
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| 68 | |
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| 69 | IMPLICIT NONE |
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| 70 | |
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| 71 | |
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| 72 | ! DUMMY INTEGER SCALARS |
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| 73 | INTEGER_M :: KFDIA |
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| 74 | INTEGER_M :: KIDIA |
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| 75 | INTEGER_M :: KLON |
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| 76 | |
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| 77 | ! ------------------------------------------------------------------ |
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| 78 | ! |
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| 79 | !* 0.1 ARGUMENTS |
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| 80 | ! --------- |
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| 81 | ! |
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| 82 | REAL_B :: PUU(KLON,NUA), PTT(KLON,NTRA) & |
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| 83 | & , PGA(KLON,8,2), PGB(KLON,8,2) |
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| 84 | ! |
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| 85 | ! ------------------------------------------------------------------ |
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| 86 | ! |
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| 87 | !* 0.2 LOCAL ARRAYS |
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| 88 | ! ------------ |
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| 89 | ! |
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| 90 | ! REAL ZXN(KLON,8),ZXD(KLON,8),ZZ(KLON,8) |
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| 91 | |
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| 92 | ! LOCAL INTEGER SCALARS |
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| 93 | INTEGER_M :: JA, JL |
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| 94 | |
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| 95 | ! LOCAL REAL SCALARS |
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| 96 | REAL_B :: ZA11, ZA12, ZAERCN, ZEU, ZEU10, ZEU11, ZEU12,& |
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| 97 | &ZEU13, ZODH41, ZODH42, ZODN21, ZODN22, ZPU, ZPU10, & |
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| 98 | &ZPU11, ZPU12, ZPU13, ZSQ1, ZSQ2, ZSQH41, & |
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| 99 | &ZSQH42, ZSQN21, ZSQN22, ZTO1, ZTO2, ZTTF11, & |
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| 100 | &ZTTF12, ZUU11, ZUU12, ZUXY, ZVXY, ZX, ZXCH4, & |
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| 101 | &ZXD, ZXN, ZXN2O, ZY, ZYCH4, ZYN2O, ZZ |
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| 102 | |
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| 103 | ! ------------------------------------------------------------------ |
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| 104 | !#!DIR$ VFUNCTION SQRTHF |
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| 105 | ! |
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| 106 | !* 1. HORNER'S ALGORITHM FOR H2O AND CO2 TRANSMISSION |
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| 107 | ! ----------------------------------------------- |
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| 108 | ! |
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| 109 | DO JA = 1 , 8 |
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| 110 | DO JL = KIDIA,KFDIA |
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| 111 | ZZ =SQRT(PUU(JL,JA)) |
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| 112 | ! ZXD(JL,1)=PGB( JL, 1,1) + ZZ(JL, 1)*(PGB( JL, 1,2) + ZZ(JL, 1)) |
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| 113 | ! ZXN(JL,1)=PGA( JL, 1,1) + ZZ(JL, 1)*(PGA( JL, 1,2) ) |
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| 114 | ! PTT(JL,1)=ZXN(JL,1)/ZXD(JL,1) |
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| 115 | ZXD =PGB( JL,JA,1) + ZZ *(PGB( JL,JA,2) + ZZ ) |
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| 116 | ZXN =PGA( JL,JA,1) + ZZ *(PGA( JL,JA,2) ) |
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| 117 | PTT(JL,JA)=ZXN /ZXD |
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| 118 | END DO |
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| 119 | END DO |
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| 120 | ! |
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| 121 | ! ------------------------------------------------------------------ |
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| 122 | ! |
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| 123 | !* 2. CONTINUUM, OZONE AND AEROSOL TRANSMISSION FUNCTIONS |
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| 124 | ! --------------------------------------------------- |
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| 125 | ! |
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| 126 | DO JL = KIDIA,KFDIA |
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| 127 | PTT(JL, 9) = PTT(JL, 8) |
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| 128 | ! |
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| 129 | !- CONTINUUM ABSORPTION: E- AND P-TYPE |
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| 130 | ! |
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| 131 | !- 13 350-500 cm-1 |
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| 132 | !- 10 500-800 cm-1 |
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| 133 | !- 11 800-970 + 1110-1250 cm-1 |
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| 134 | !- 12 970-1110 cm-1 |
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| 135 | ! |
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| 136 | ! IF (INWCONT.EQ.0) THEN |
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| 137 | !- original ECMWF 16r1 coefficients |
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| 138 | ZPU = 0.002 * PUU(JL,10) |
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| 139 | ZPU10 = 112. * ZPU |
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| 140 | ZPU11 = 6.25 * ZPU |
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| 141 | ZPU12 = 5.00 * ZPU |
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| 142 | ZPU13 = 80.0 * ZPU |
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| 143 | ZEU = PUU(JL,11) |
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| 144 | ZEU10 = 12. * ZEU |
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| 145 | ZEU11 = 6.25 * ZEU |
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| 146 | ZEU12 = 5.00 * ZEU |
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| 147 | ZEU13 = 80.0 * ZEU |
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| 148 | ! ELSE IF (INWCONT.EQ.1) THEN |
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| 149 | !- coefficients proposed by Giorgetta and Wild |
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| 150 | ! ZPU10 = 0.8109 * PUU(JL,10) |
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| 151 | ! ZPU11 = 0.0208 * PUU(JL,10) |
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| 152 | ! ZPU12 = 0.0106 * PUU(JL,10) |
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| 153 | ! ZPU13 = 12.331 * PUU(JL,10) |
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| 154 | ! ZEU10 = 47.7 * PUU(JL,11) |
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| 155 | ! ZEU11 = 8.31 * PUU(JL,11) |
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| 156 | ! ZEU12 = 5.87 * PUU(JL,11) |
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| 157 | ! ZEU13 = 209. * PUU(JL,11) |
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| 158 | ! ELSE IF (INWCONT.EQ.2) THEN |
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| 159 | !- coefficients adjusted from Clough CKD22 |
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| 160 | !c ZPU10 = 0.00488 * 81.63 * PUU(JL,10) |
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| 161 | !c ZPU11 = 0.00022 * 8.43 * PUU(JL,10) |
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| 162 | !c ZPU12 = 0.00001 * 5.08 * PUU(JL,10) |
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| 163 | !c ZPU13 = 0.03638 * 721.8 * PUU(JL,10) |
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| 164 | ! ZPU10 = 0.3981 * PUU(JL,10) |
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| 165 | ! ZPU10 = 0.18 * PUU(JL,10) |
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| 166 | ! ZPU11 = 0.00127 * PUU(JL,10) |
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| 167 | ! ZPU12 = 0.00071 * PUU(JL,10) |
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| 168 | ! ZPU13 = 26.26 * PUU(JL,10) |
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| 169 | ! |
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| 170 | !! ZEU10 = 81.63 * PUU(JL,11) |
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| 171 | ! ZEU10 = 18. * PUU(JL,11) |
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| 172 | ! ZEU11 = 8.43 * PUU(JL,11) |
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| 173 | ! ZEU12 = 5.08 * PUU(JL,11) |
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| 174 | ! ZEU13 = 721.8 * PUU(JL,11) |
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| 175 | ! END IF |
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| 176 | ! |
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| 177 | ! IF (LNOCONT) THEN |
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| 178 | ! ZPU10 = 0. |
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| 179 | ! ZPU11 = 0. |
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| 180 | ! ZPU12 = 0. |
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| 181 | ! ZPU13 = 0. |
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| 182 | ! |
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| 183 | ! ZEU10 = 0. |
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| 184 | ! ZEU11 = 0. |
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| 185 | ! ZEU12 = 0. |
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| 186 | ! ZEU13 = 0. |
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| 187 | ! END IF |
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| 188 | ! |
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| 189 | !- OZONE ABSORPTION |
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| 190 | ! |
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| 191 | ZX = PUU(JL,12) |
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| 192 | ZY = PUU(JL,13) |
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| 193 | ZUXY = 4. * ZX * ZX / (RPIALF0 * ZY) |
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| 194 | ZSQ1 = SQRT(1. + O1H * ZUXY ) - 1. |
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| 195 | ZSQ2 = SQRT(1. + O2H * ZUXY ) - 1. |
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| 196 | ZVXY = RPIALF0 * ZY / (2. * ZX) |
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| 197 | ZAERCN = PUU(JL,17) + ZEU12 + ZPU12 |
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| 198 | ZTO1 = EXP( - ZVXY * ZSQ1 - ZAERCN ) |
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| 199 | ZTO2 = EXP( - ZVXY * ZSQ2 - ZAERCN ) |
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| 200 | |
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| 201 | ! IF (LNOOZON) THEN |
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| 202 | ! ZTO1 = EXP( - ZAERCN ) |
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| 203 | ! ZTO2 = EXP( - ZAERCN ) |
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| 204 | ! END IF |
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| 205 | ! |
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| 206 | !-- TRACE GASES (CH4, N2O, CFC-11, CFC-12) |
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| 207 | ! |
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| 208 | !* CH4 IN INTERVAL 800-970 + 1110-1250 CM-1 |
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| 209 | ! |
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| 210 | ZXCH4 = PUU(JL,19) |
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| 211 | ZYCH4 = PUU(JL,20) |
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| 212 | ZUXY = 4. * ZXCH4*ZXCH4/(0.103*ZYCH4) |
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| 213 | ZSQH41 = SQRT(1. + 33.7 * ZUXY) - 1. |
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| 214 | ZVXY = 0.103 * ZYCH4 / (2. * ZXCH4) |
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| 215 | ZODH41 = ZVXY * ZSQH41 |
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| 216 | ! |
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| 217 | !* N2O IN INTERVAL 800-970 + 1110-1250 CM-1 |
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| 218 | ! |
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| 219 | ZXN2O = PUU(JL,21) |
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| 220 | ZYN2O = PUU(JL,22) |
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| 221 | ZUXY = 4. * ZXN2O*ZXN2O/(0.416*ZYN2O) |
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| 222 | ZSQN21 = SQRT(1. + 21.3 * ZUXY) - 1. |
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| 223 | ZVXY = 0.416 * ZYN2O / (2. * ZXN2O) |
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| 224 | ZODN21 = ZVXY * ZSQN21 |
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| 225 | ! |
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| 226 | !* CH4 IN INTERVAL 1250-1450 + 1880-2820 CM-1 |
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| 227 | ! |
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| 228 | ZUXY = 4. * ZXCH4*ZXCH4/(0.113*ZYCH4) |
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| 229 | ZSQH42 = SQRT(1. + 400. * ZUXY) - 1. |
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| 230 | ZVXY = 0.113 * ZYCH4 / (2. * ZXCH4) |
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| 231 | ZODH42 = ZVXY * ZSQH42 |
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| 232 | ! |
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| 233 | !* N2O IN INTERVAL 1250-1450 + 1880-2820 CM-1 |
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| 234 | ! |
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| 235 | ZUXY = 4. * ZXN2O*ZXN2O/(0.197*ZYN2O) |
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| 236 | ZSQN22 = SQRT(1. + 2000. * ZUXY) - 1. |
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| 237 | ZVXY = 0.197 * ZYN2O / (2. * ZXN2O) |
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| 238 | ZODN22 = ZVXY * ZSQN22 |
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| 239 | ! |
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| 240 | !* CFC-11 IN INTERVAL 800-970 + 1110-1250 CM-1 |
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| 241 | ! |
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| 242 | ZA11 = 2. * PUU(JL,23) * 4.404E+05 |
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| 243 | ZTTF11 = 1. - ZA11 * 0.003225 |
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| 244 | ! |
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| 245 | !* CFC-12 IN INTERVAL 800-970 + 1110-1250 CM-1 |
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| 246 | ! |
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| 247 | ZA12 = 2. * PUU(JL,24) * 6.7435E+05 |
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| 248 | ZTTF12 = 1. - ZA12 * 0.003225 |
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| 249 | ! |
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| 250 | |
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| 251 | ! IF (LNOUMG) THEN |
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| 252 | ! PTT(JL,7) = 1. |
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| 253 | ! PTT(JL,8) = 1. |
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| 254 | ! PTT(JL,9) = 1. |
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| 255 | ! ZODH41 = 0. |
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| 256 | ! ZODH42 = 0. |
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| 257 | ! ZODN21 = 0. |
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| 258 | ! ZODN22 = 0. |
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| 259 | ! ZTTF11 = 1. |
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| 260 | ! ZTTF12 = 1. |
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| 261 | ! END IF |
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| 262 | |
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| 263 | ZUU11 = - PUU(JL,15) - ZEU10 - ZPU10 |
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| 264 | ZUU12 = - PUU(JL,16) - ZEU11 - ZPU11 - ZODH41 - ZODN21 |
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| 265 | PTT(JL,10) = EXP( - PUU(JL,14) ) |
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| 266 | PTT(JL,11) = EXP( ZUU11 ) |
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| 267 | PTT(JL,12) = EXP( ZUU12 ) * ZTTF11 * ZTTF12 |
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| 268 | PTT(JL,13) = 0.7554 * ZTO1 + 0.2446 * ZTO2 |
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| 269 | PTT(JL,14) = PTT(JL,10) * EXP( - ZEU13 - ZPU13 ) |
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| 270 | PTT(JL,15) = EXP ( - PUU(JL,14) - ZODH42 - ZODN22 ) |
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| 271 | END DO |
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| 272 | ! |
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| 273 | RETURN |
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| 274 | END SUBROUTINE OLWTT |
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