1 | !OPTIONS XOPT(HSFUN) |
---|
2 | SUBROUTINE LWTT ( KIDIA, KFDIA, KLON, PGA , PGB, PUU , PTT ) |
---|
3 | |
---|
4 | !**** *LWTT* - 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 | ! *LWTT* IS CALLED FROM *LWVN*, *LWVD*, *LWVB* |
---|
15 | |
---|
16 | ! EXPLICIT ARGUMENTS : |
---|
17 | ! -------------------- |
---|
18 | ! ==== INPUTS === |
---|
19 | ! KND : ; WEIGHTING INDEX |
---|
20 | ! PUU : (KLON,NUA) ; ABSORBER AMOUNTS |
---|
21 | ! ==== OUTPUTS === |
---|
22 | ! PTT : (KLON,NTRA) ; TRANSMISSION FUNCTIONS |
---|
23 | |
---|
24 | ! IMPLICIT ARGUMENTS : NONE |
---|
25 | ! -------------------- |
---|
26 | |
---|
27 | ! METHOD. |
---|
28 | ! ------- |
---|
29 | |
---|
30 | ! 1. TRANSMISSION FUNCTION BY H2O AND UNIFORMLY MIXED GASES ARE |
---|
31 | ! COMPUTED USING PADE APPROXIMANTS AND HORNER'S ALGORITHM. |
---|
32 | ! 2. TRANSMISSION BY O3 IS EVALUATED WITH MALKMUS'S BAND MODEL. |
---|
33 | ! 3. TRANSMISSION BY H2O CONTINUUM AND AEROSOLS FOLLOW AN |
---|
34 | ! A SIMPLE EXPONENTIAL DECREASE WITH ABSORBER AMOUNT. |
---|
35 | |
---|
36 | ! EXTERNALS. |
---|
37 | ! ---------- |
---|
38 | |
---|
39 | ! NONE |
---|
40 | |
---|
41 | ! REFERENCE. |
---|
42 | ! ---------- |
---|
43 | |
---|
44 | ! SEE RADIATION'S PART OF THE MODEL'S DOCUMENTATION AND |
---|
45 | ! ECMWF RESEARCH DEPARTMENT DOCUMENTATION OF THE IFS |
---|
46 | |
---|
47 | ! AUTHOR. |
---|
48 | ! ------- |
---|
49 | ! JEAN-JACQUES MORCRETTE *ECMWF* |
---|
50 | |
---|
51 | ! MODIFICATIONS. |
---|
52 | ! -------------- |
---|
53 | ! ORIGINAL : 88-12-15 |
---|
54 | ! 97-04-18 JJ Morcrette Revised continuum |
---|
55 | ! M.Hamrud 01-Oct-2003 CY28 Cleaning |
---|
56 | |
---|
57 | !----------------------------------------------------------------------- |
---|
58 | |
---|
59 | USE PARKIND1 ,ONLY : JPIM ,JPRB |
---|
60 | USE YOMHOOK ,ONLY : LHOOK, DR_HOOK |
---|
61 | |
---|
62 | USE YOELW , ONLY : NTRA ,NUA ,RPTYPE ,RETYPE ,& |
---|
63 | & RO1H ,RO2H ,RPIALF0 |
---|
64 | |
---|
65 | IMPLICIT NONE |
---|
66 | |
---|
67 | INTEGER(KIND=JPIM),INTENT(IN) :: KLON |
---|
68 | INTEGER(KIND=JPIM),INTENT(IN) :: KIDIA |
---|
69 | INTEGER(KIND=JPIM),INTENT(IN) :: KFDIA |
---|
70 | REAL(KIND=JPRB) ,INTENT(IN) :: PGA(KLON,8,2) |
---|
71 | REAL(KIND=JPRB) ,INTENT(IN) :: PGB(KLON,8,2) |
---|
72 | REAL(KIND=JPRB) ,INTENT(IN) :: PUU(KLON,NUA) |
---|
73 | REAL(KIND=JPRB) ,INTENT(OUT) :: PTT(KLON,NTRA) |
---|
74 | ! ------------------------------------------------------------------ |
---|
75 | |
---|
76 | !* 0.1 ARGUMENTS |
---|
77 | ! --------- |
---|
78 | |
---|
79 | INTEGER(KIND=JPIM) :: JA, JL |
---|
80 | |
---|
81 | REAL(KIND=JPRB) :: ZA11, ZA12, ZAERCN, ZEU10, ZEU11, ZEU12,& |
---|
82 | & ZEU13, ZODH41, ZODH42, ZODN21, ZODN22, ZPU10, & |
---|
83 | & ZPU11, ZPU12, ZPU13, ZSQ1, ZSQ2, ZSQH41, & |
---|
84 | & ZSQH42, ZSQN21, ZSQN22, ZTO1, ZTO2, ZTTF11, & |
---|
85 | & ZTTF12, ZUU11, ZUU12, ZUXY, ZVXY, ZX, ZXCH4, & |
---|
86 | & ZXD, ZXN, ZXN2O, ZY, ZYCH4, ZYN2O, ZZ |
---|
87 | REAL(KIND=JPRB) :: ZHOOK_HANDLE |
---|
88 | |
---|
89 | ! ------------------------------------------------------------------ |
---|
90 | |
---|
91 | ! ------------ |
---|
92 | |
---|
93 | ! ------------------------------------------------------------------ |
---|
94 | !DIR$ VFUNCTION SQRTHF |
---|
95 | |
---|
96 | !* 1. HORNER'S ALGORITHM FOR H2O AND CO2 TRANSMISSION |
---|
97 | ! ----------------------------------------------- |
---|
98 | |
---|
99 | IF (LHOOK) CALL DR_HOOK('LWTT',0,ZHOOK_HANDLE) |
---|
100 | DO JA = 1 , 8 |
---|
101 | DO JL = KIDIA,KFDIA |
---|
102 | ZZ = SQRT(PUU(JL,JA)) |
---|
103 | ZXD = PGB( JL,JA,1) + ZZ* (PGB( JL,JA,2) + ZZ ) |
---|
104 | ZXN = PGA( JL,JA,1) + ZZ* (PGA( JL,JA,2) ) |
---|
105 | PTT(JL,JA) = ZXN / ZXD |
---|
106 | ENDDO |
---|
107 | ENDDO |
---|
108 | |
---|
109 | DO JL = KIDIA,KFDIA |
---|
110 | PTT(JL,3)=MAX(PTT(JL,3),0.0_JPRB) |
---|
111 | ENDDO |
---|
112 | ! ------------------------------------------------------------------ |
---|
113 | |
---|
114 | !* 2. CONTINUUM, OZONE AND AEROSOL TRANSMISSION FUNCTIONS |
---|
115 | ! --------------------------------------------------- |
---|
116 | |
---|
117 | DO JL = KIDIA,KFDIA |
---|
118 | PTT(JL, 9) = PTT(JL, 8) |
---|
119 | |
---|
120 | !- CONTINUUM ABSORPTION: E- AND P-TYPE (from Giorgetta and Wild, 1997) |
---|
121 | |
---|
122 | ZPU10 = RPTYPE(1) * PUU(JL,10) |
---|
123 | ZPU11 = RPTYPE(2) * PUU(JL,10) |
---|
124 | ZPU12 = RPTYPE(3) * PUU(JL,10) |
---|
125 | ZPU13 = RPTYPE(4) * PUU(JL,10) |
---|
126 | ZEU10 = RETYPE(1) * PUU(JL,11) |
---|
127 | ZEU11 = RETYPE(2) * PUU(JL,11) |
---|
128 | ZEU12 = RETYPE(3) * PUU(JL,11) |
---|
129 | ZEU13 = RETYPE(4) * PUU(JL,11) |
---|
130 | |
---|
131 | !- OZONE ABSORPTION |
---|
132 | |
---|
133 | ZX = PUU(JL,12) |
---|
134 | ZY = PUU(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 = PUU(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 = PUU(JL,19) |
---|
148 | ZYCH4 = PUU(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 = PUU(JL,21) |
---|
157 | ZYN2O = PUU(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 = 2.0_JPRB * PUU(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 = 2.0_JPRB * PUU(JL,24) * 6.7435E+05_JPRB |
---|
185 | ZTTF12 = 1.0_JPRB - ZA12 * 0.003225_JPRB |
---|
186 | |
---|
187 | ZUU11 = - PUU(JL,15) - ZEU10 - ZPU10 |
---|
188 | ZUU12 = - PUU(JL,16) - ZEU11 - ZPU11 - ZODH41 - ZODN21 |
---|
189 | PTT(JL,10) = EXP( - PUU(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 ( - PUU(JL,14) - ZODH42 - ZODN22 ) |
---|
195 | |
---|
196 | ENDDO |
---|
197 | |
---|
198 | IF (LHOOK) CALL DR_HOOK('LWTT',1,ZHOOK_HANDLE) |
---|
199 | END SUBROUTINE LWTT |
---|