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Directory: ./
File: rad/lwttm.f90
Date: 2022-01-11 19:19:34
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1 !OPTIONS XOPT(HSFUN)
2 SUBROUTINE LWTTM ( KIDIA, KFDIA, KLON, PGA , PGB, PUU1 , PUU2 , PTT )
3
4 !**** *LWTTM* - LONGWAVE TRANSMISSION FUNCTIONS
5
6 ! PURPOSE.
7 ! --------
8 ! THIS ROUTINE COMPUTES THE TRANSMISSION FUNCTIONS FOR ALL THE
9 ! ABSORBERS (H2O, UNIFORMLY MIXED GASES, AND O3) IN ALL SIX SPECTRAL
10 ! INTERVALS.
11
12 !** INTERFACE.
13 ! ----------
14 ! *LWTTM* IS CALLED FROM *LWVD*
15
16 ! EXPLICIT ARGUMENTS :
17 ! --------------------
18 ! ==== INPUTS ===
19 ! PGA, PGB ; PADE APPROXIMANTS
20 ! PUU1 : (KLON,NUA) ; ABSORBER AMOUNTS FROM TOP TO LEVEL 1
21 ! PUU2 : (KLON,NUA) ; ABSORBER AMOUNTS FROM TOP TO LEVEL 2
22 ! ==== OUTPUTS ===
23 ! PTT : (KLON,NTRA) ; TRANSMISSION FUNCTIONS
24
25 ! IMPLICIT ARGUMENTS : NONE
26 ! --------------------
27
28 ! METHOD.
29 ! -------
30
31 ! 1. TRANSMISSION FUNCTION BY H2O AND UNIFORMLY MIXED GASES ARE
32 ! COMPUTED USING PADE APPROXIMANTS AND HORNER'S ALGORITHM.
33 ! 2. TRANSMISSION BY O3 IS EVALUATED WITH MALKMUS'S BAND MODEL.
34 ! 3. TRANSMISSION BY H2O CONTINUUM AND AEROSOLS FOLLOW AN
35 ! A SIMPLE EXPONENTIAL DECREASE WITH ABSORBER AMOUNT.
36
37 ! EXTERNALS.
38 ! ----------
39
40 ! NONE
41
42 ! REFERENCE.
43 ! ----------
44
45 ! SEE RADIATION'S PART OF THE MODEL'S DOCUMENTATION AND
46 ! ECMWF RESEARCH DEPARTMENT DOCUMENTATION OF THE IFS
47
48 ! AUTHOR.
49 ! -------
50 ! JEAN-JACQUES MORCRETTE *ECMWF*
51
52 ! MODIFICATIONS.
53 ! --------------
54 ! ORIGINAL : 88-12-15
55 ! 97-04-18 JJ Morcrette Revised continuum
56 ! M.Hamrud 01-Oct-2003 CY28 Cleaning
57
58 !-----------------------------------------------------------------------
59
60 USE PARKIND1 ,ONLY : JPIM ,JPRB
61 USE YOMHOOK ,ONLY : LHOOK, DR_HOOK
62
63 USE YOELW , ONLY : NTRA ,NUA ,RPTYPE ,RETYPE ,&
64 & RO1H ,RO2H ,RPIALF0
65
66 IMPLICIT NONE
67
68 INTEGER(KIND=JPIM),INTENT(IN) :: KLON
69 INTEGER(KIND=JPIM),INTENT(IN) :: KIDIA
70 INTEGER(KIND=JPIM),INTENT(IN) :: KFDIA
71 REAL(KIND=JPRB) ,INTENT(IN) :: PGA(KLON,8,2)
72 REAL(KIND=JPRB) ,INTENT(IN) :: PGB(KLON,8,2)
73 REAL(KIND=JPRB) ,INTENT(IN) :: PUU1(KLON,NUA)
74 REAL(KIND=JPRB) ,INTENT(IN) :: PUU2(KLON,NUA)
75 REAL(KIND=JPRB) ,INTENT(OUT) :: PTT(KLON,NTRA)
76 ! ------------------------------------------------------------------
77
78 !* 0.1 ARGUMENTS
79 ! ---------
80
81 INTEGER(KIND=JPIM) :: JA, JL
82
83 REAL(KIND=JPRB) :: ZA11, ZA12, ZAERCN, ZEU, ZEU10, ZEU11, ZEU12,&
84 & ZEU13, ZODH41, ZODH42, ZODN21, ZODN22, ZPU, &
85 & ZPU10, ZPU11, ZPU12, ZPU13, ZSQ1, ZSQ2, ZSQH41, &
86 & ZSQH42, ZSQN21, ZSQN22, ZTO1, ZTO2, ZTTF11, &
87 & ZTTF12, ZUU11, ZUU12, ZUXY, ZVXY, ZX, ZXCH4, &
88 & ZXD, ZXN, ZXN2O, ZY, ZYCH4, ZYN2O, ZZ
89 REAL(KIND=JPRB) :: ZHOOK_HANDLE
90
91 ! ------------------------------------------------------------------
92 !DIR$ VFUNCTION SQRTHF
93
94 !* 1. HORNER'S ALGORITHM FOR H2O AND CO2 TRANSMISSION
95 ! -----------------------------------------------
96
97 IF (LHOOK) CALL DR_HOOK('LWTTM',0,ZHOOK_HANDLE)
98 DO JA = 1 , 8
99 DO JL = KIDIA,KFDIA
100 ZZ = SQRT(PUU1(JL,JA) - PUU2(JL,JA))
101 ZXD = PGB( JL,JA,1) + ZZ * (PGB( JL,JA,2) + ZZ )
102 ZXN = PGA( JL,JA,1) + ZZ * (PGA( JL,JA,2) )
103 PTT(JL,JA) = ZXN / ZXD
104 ENDDO
105 ENDDO
106
107 DO JL = KIDIA,KFDIA
108 PTT(JL,3)=MAX(PTT(JL,3),0.0_JPRB)
109 ENDDO
110 ! ------------------------------------------------------------------
111
112 !* 2. CONTINUUM, OZONE AND AEROSOL TRANSMISSION FUNCTIONS
113 ! ---------------------------------------------------
114
115 DO JL = KIDIA,KFDIA
116 PTT(JL, 9) = PTT(JL, 8)
117
118 !- CONTINUUM ABSORPTION: E- AND P-TYPE
119
120 ZPU = (PUU1(JL,10) - PUU2(JL,10))
121 ZPU10 = RPTYPE(1) * ZPU
122 ZPU11 = RPTYPE(2) * ZPU
123 ZPU12 = RPTYPE(3) * ZPU
124 ZPU13 = RPTYPE(4) * ZPU
125 ZEU = (PUU1(JL,11) - PUU2(JL,11))
126 ZEU10 = RETYPE(1) * ZEU
127 ZEU11 = RETYPE(2) * ZEU
128 ZEU12 = RETYPE(3) * ZEU
129 ZEU13 = RETYPE(4) * ZEU
130
131 !- OZONE ABSORPTION
132
133 ZX = (PUU1(JL,12) - PUU2(JL,12))
134 ZY = (PUU1(JL,13) - PUU2(JL,13))
135 ZUXY = 4._JPRB * ZX * ZX / (RPIALF0 * ZY)
136 ZSQ1 = SQRT(1.0_JPRB + RO1H * ZUXY ) - 1.0_JPRB
137 ZSQ2 = SQRT(1.0_JPRB + RO2H * ZUXY ) - 1.0_JPRB
138 ZVXY = RPIALF0 * ZY / (2.0_JPRB * ZX)
139 ZAERCN = (PUU1(JL,17) -PUU2(JL,17)) + ZEU12 + ZPU12
140 ZTO1 = EXP( - ZVXY * ZSQ1 - ZAERCN )
141 ZTO2 = EXP( - ZVXY * ZSQ2 - ZAERCN )
142
143 !-- TRACE GASES (CH4, N2O, CFC-11, CFC-12)
144
145 !* CH4 IN INTERVAL 800-970 + 1110-1250 CM-1
146
147 ZXCH4 = (PUU1(JL,19) - PUU2(JL,19))
148 ZYCH4 = (PUU1(JL,20) - PUU2(JL,20))
149 ZUXY = 4._JPRB * ZXCH4*ZXCH4/(0.103_JPRB*ZYCH4)
150 ZSQH41 = SQRT(1.0_JPRB + 33.7_JPRB * ZUXY) - 1.0_JPRB
151 ZVXY = 0.103_JPRB * ZYCH4 / (2.0_JPRB * ZXCH4)
152 ZODH41 = ZVXY * ZSQH41
153
154 !* N2O IN INTERVAL 800-970 + 1110-1250 CM-1
155
156 ZXN2O = (PUU1(JL,21) - PUU2(JL,21))
157 ZYN2O = (PUU1(JL,22) - PUU2(JL,22))
158 ZUXY = 4._JPRB * ZXN2O*ZXN2O/(0.416_JPRB*ZYN2O)
159 ZSQN21 = SQRT(1.0_JPRB + 21.3_JPRB * ZUXY) - 1.0_JPRB
160 ZVXY = 0.416_JPRB * ZYN2O / (2.0_JPRB * ZXN2O)
161 ZODN21 = ZVXY * ZSQN21
162
163 !* CH4 IN INTERVAL 1250-1450 + 1880-2820 CM-1
164
165 ZUXY = 4._JPRB * ZXCH4*ZXCH4/(0.113_JPRB*ZYCH4)
166 ZSQH42 = SQRT(1.0_JPRB + 400._JPRB * ZUXY) - 1.0_JPRB
167 ZVXY = 0.113_JPRB * ZYCH4 / (2.0_JPRB * ZXCH4)
168 ZODH42 = ZVXY * ZSQH42
169
170 !* N2O IN INTERVAL 1250-1450 + 1880-2820 CM-1
171
172 ZUXY = 4._JPRB * ZXN2O*ZXN2O/(0.197_JPRB*ZYN2O)
173 ZSQN22 = SQRT(1.0_JPRB + 2000._JPRB * ZUXY) - 1.0_JPRB
174 ZVXY = 0.197_JPRB * ZYN2O / (2.0_JPRB * ZXN2O)
175 ZODN22 = ZVXY * ZSQN22
176
177 !* CFC-11 IN INTERVAL 800-970 + 1110-1250 CM-1
178
179 ZA11 = (PUU1(JL,23) - PUU2(JL,23)) * 4.404E+05_JPRB
180 ZTTF11 = 1.0_JPRB - ZA11 * 0.003225_JPRB
181
182 !* CFC-12 IN INTERVAL 800-970 + 1110-1250 CM-1
183
184 ZA12 = (PUU1(JL,24) - PUU2(JL,24)) * 6.7435E+05_JPRB
185 ZTTF12 = 1.0_JPRB - ZA12 * 0.003225_JPRB
186
187 ZUU11 = - (PUU1(JL,15) - PUU2(JL,15)) - ZEU10 - ZPU10
188 ZUU12 = - (PUU1(JL,16) - PUU2(JL,16)) - ZEU11 - ZPU11 -ZODH41 - ZODN21
189 PTT(JL,10) = EXP( - (PUU1(JL,14)- PUU2(JL,14)) )
190 PTT(JL,11) = EXP( ZUU11 )
191 PTT(JL,12) = EXP( ZUU12 ) * ZTTF11 * ZTTF12
192 PTT(JL,13) = 0.7554_JPRB * ZTO1 + 0.2446_JPRB * ZTO2
193 PTT(JL,14) = PTT(JL,10) * EXP( - ZEU13 - ZPU13 )
194 PTT(JL,15) = EXP( - (PUU1(JL,14) - PUU2(JL,14)) - ZODH42-ZODN22 )
195
196 ENDDO
197
198 IF (LHOOK) CALL DR_HOOK('LWTTM',1,ZHOOK_HANDLE)
199 END SUBROUTINE LWTTM
200