source: trunk/WRF.COMMON/WRFV3/phys/module_ra_gsfcsw.F @ 3553

Last change on this file since 3553 was 2759, checked in by aslmd, 2 years ago

adding unmodified code from WRFV3.0.1.1, expurged from useless data +1M size

File size: 110.3 KB
Line 
1!Comment the following out to turn off aerosol-radiation
2!feedback between MOSAIC and GSFCSW. wig, 21-Feb-2005
3
4MODULE module_ra_gsfcsw
5
6   REAL,    PARAMETER, PRIVATE ::   thresh=1.e-9
7   REAL,    SAVE               ::   center_lat
8
9!  Assign co2 and trace gases amount (units are parts/part by volumn)
10
11   REAL,    PARAMETER, PRIVATE ::   co2   = 300.e-6
12
13CONTAINS
14
15!------------------------------------------------------------------
16! urban related variable are added to arguments of gsfcswrad
17!------------------------------------------------------------------
18   SUBROUTINE GSFCSWRAD(rthraten,gsw,xlat,xlong                   &
19                   ,dz8w,rho_phy                                  &
20                   ,alb,t3d,qv3d,qc3d,qr3d                        &
21                   ,qi3d,qs3d,qg3d,qndrop3d                       &
22                   ,p3d,p8w3d,pi3d,cldfra3d,rswtoa                &
23                   ,gmt,cp,g,julday,xtime,declin,solcon           &
24                   ,radfrq,degrad,taucldi,taucldc,warm_rain       &
25                   ,tauaer300,tauaer400,tauaer600,tauaer999       & ! jcb
26                   ,gaer300,gaer400,gaer600,gaer999               & ! jcb
27                   ,waer300,waer400,waer600,waer999               & ! jcb
28                   ,aer_ra_feedback                               &
29                   ,f_qv,f_qc,f_qr,f_qi,f_qs,f_qg,f_qndrop        &
30                   ,ids,ide, jds,jde, kds,kde                     &
31                   ,ims,ime, jms,jme, kms,kme                     &
32                   ,its,ite, jts,jte, kts,kte                     &
33                   ,cosz_urb2d,omg_urb2d                          ) !Optional urban
34!------------------------------------------------------------------
35   IMPLICIT NONE
36!------------------------------------------------------------------
37   INTEGER,    PARAMETER     ::        np    = 75
38
39   INTEGER,    INTENT(IN   ) ::        ids,ide, jds,jde, kds,kde, &
40                                       ims,ime, jms,jme, kms,kme, &
41                                       its,ite, jts,jte, kts,kte
42   LOGICAL,    INTENT(IN   ) ::        warm_rain
43
44   INTEGER,    INTENT(IN  )  ::                           JULDAY 
45
46
47   REAL, INTENT(IN    )      ::        RADFRQ,DEGRAD,             &
48                                       XTIME,DECLIN,SOLCON
49!
50   REAL, DIMENSION( ims:ime, kms:kme, jms:jme ),                  &
51         INTENT(IN    ) ::                                   P3D, &
52                                                           P8W3D, &
53                                                            pi3D, &
54                                                             T3D, &
55                                                            dz8w, &
56                                                         rho_phy, &
57                                                        CLDFRA3D
58
59
60   REAL, DIMENSION( ims:ime, kms:kme, jms:jme ),                  &
61         INTENT(INOUT)  ::                              RTHRATEN
62   REAL, DIMENSION( ims:ime, kms:kme, jms:jme ),                  &
63         OPTIONAL,                                                &
64         INTENT(INOUT)  ::                               taucldi, &
65                                                         taucldc
66!
67   REAL, DIMENSION( ims:ime, jms:jme ),                           &
68         INTENT(IN   )  ::                                  XLAT, &
69                                                           XLONG, &
70                                                             ALB
71!
72   REAL, DIMENSION( ims:ime, jms:jme ),                           &
73         INTENT(INOUT)  ::                                   GSW, &
74                                                          RSWTOA
75!
76   REAL, INTENT(IN   )  ::                              GMT,CP,G
77!
78
79!
80! Optional
81!
82   REAL, DIMENSION( ims:ime, kms:kme, jms:jme ), OPTIONAL ,       &
83         INTENT(IN    ) :: tauaer300,tauaer400,tauaer600,tauaer999, & ! jcb
84                                 gaer300,gaer400,gaer600,gaer999, & ! jcb
85                                 waer300,waer400,waer600,waer999    ! jcb
86
87   INTEGER,    INTENT(IN  ), OPTIONAL   ::       aer_ra_feedback
88
89   REAL, DIMENSION( ims:ime, kms:kme, jms:jme ),                  &
90         OPTIONAL,                                                &           
91         INTENT(IN    ) ::                                        &
92                                                            QV3D, &
93                                                            QC3D, &
94                                                            QR3D, &
95                                                            QI3D, &
96                                                            QS3D, &
97                                                            QG3D, &
98                                                        QNDROP3D
99
100   LOGICAL, OPTIONAL, INTENT(IN ) ::    &
101                                   F_QV,F_QC,F_QR,F_QI,F_QS,F_QG, &
102                                                        F_QNDROP
103
104! LOCAL VARS
105 
106   REAL, DIMENSION( its:ite ) ::                                  &
107                                                              ts, &
108                                                            cosz, &
109                                                              fp, &
110                                                          rsuvbm, &
111                                                          rsuvdf, &
112                                                          rsirbm, &
113                                                          rsirdf, &
114                                                            p400, &
115                                                            p700
116
117   INTEGER, DIMENSION( its:ite ) ::                               &
118                                                             ict, &
119                                                             icb   
120
121   REAL, DIMENSION( its:ite, kts-1:kte, 2 ) ::            taucld
122
123   REAL, DIMENSION( its:ite, kts-1:kte+1 )  ::               flx, &
124                                                            flxd
125!
126   REAL, DIMENSION( its:ite, kts-1:kte ) ::                     O3
127!
128   REAL, DIMENSION( its:ite, kts-1:kte, 11 ) ::                   &
129                                                           taual, &
130                                                           ssaal, &
131                                                           asyal
132
133   REAL, DIMENSION( its:ite, kts-1:kte, 2 ) ::                    &
134                                                            reff, &   
135                                                             cwc   
136   REAL, DIMENSION( its: ite, kts-1:kte+1 ) ::                    &
137                                                           P8W2D
138   REAL, DIMENSION( its: ite, kts-1:kte ) ::                      &
139                                                          TTEN2D, &
140                                                        qndrop2d, &
141                                                            SH2D, &
142                                                             P2D, &
143                                                             T2D, &
144                                                          fcld2D
145   real, DIMENSION( its:ite , kts:kte+1 ) :: phyd
146   real, DIMENSION( its:ite , kts:kte   ) :: phydmid
147
148   REAL, DIMENSION( np, 5 ) ::                              pres, &
149                                                           ozone
150   REAL, DIMENSION( np )    ::                                 p
151
152   LOGICAL :: cldwater,overcast, predicate
153!
154   INTEGER :: i,j,K,NK,ib,kk,mix,mkx
155
156!  iprof = 1  :  mid-latitude summer profile
157!        = 2  :  mid-latitude winter profile
158!        = 3  :  sub-arctic   summer profile
159!        = 4  :  sub-arctic   winter profile
160!        = 5  :  tropical profile
161!
162
163   INTEGER  ::                                             iprof, &
164                                                       is_summer, &
165                                                       ie_summer, &
166                                                          lattmp
167
168
169!
170   REAL    :: XLAT0,XLONG0
171   REAL    :: fac,latrmp
172   REAL    :: xt24,tloctm,hrang,xxlat
173
174!URBAN
175   REAL, OPTIONAL, DIMENSION( ims:ime, jms:jme ), INTENT(OUT)  :: COSZ_URB2D !urban
176   REAL, OPTIONAL, DIMENSION( ims:ime, jms:jme ), INTENT(OUT)  :: OMG_URB2D  !urban
177
178   real, dimension(11) :: midbands  ! jcb
179   data midbands/.2,.235,.27,.2875,.3025,.305,.3625,.55,1.92,1.745,6.135/   ! jcb
180   real :: ang,slope ! jcb
181   character(len=200) :: msg !wig
182   real pi, third, relconst, lwpmin, rhoh2o
183!
184!--------------------------------------------------------------------------------
185!   data set 1
186!     mid-latitude summer (75 levels) :  p(mb)  o3(g/g)
187!     surface temp = 294.0
188!
189      data (pres(i,1),i=1,np)/ &
190          0.0006244,   0.0008759,   0.0012286,   0.0017234,   0.0024174, &
191          0.0033909,   0.0047565,   0.0066720,   0.0093589,   0.0131278, &
192          0.0184145,   0.0258302,   0.0362323,   0.0508234,   0.0712906, &
193          0.1000000,   0.1402710,   0.1967600,   0.2759970,   0.3871430, &
194          0.5430,    0.7617,    1.0685,    1.4988,    2.1024,    2.9490, &
195          4.1366,    5.8025,    8.1392,   11.4170,   16.0147,   22.4640, &
196         31.5105,   44.2001,   62.0000,   85.7750,  109.5500,  133.3250, &
197        157.1000,  180.8750,  204.6500,  228.4250,  252.2000,  275.9750, &
198        299.7500,  323.5250,  347.3000,  371.0750,  394.8500,  418.6250, &
199        442.4000,  466.1750,  489.9500,  513.7250,  537.5000,  561.2750, &
200        585.0500,  608.8250,  632.6000,  656.3750,  680.1500,  703.9250, &
201        727.7000,  751.4750,  775.2500,  799.0250,  822.8000,  846.5750, &
202        870.3500,  894.1250,  917.9000,  941.6750,  965.4500,  989.2250, &
203       1013.0000/
204!
205      data (ozone(i,1),i=1,np)/ &
206        0.1793E-06,  0.2228E-06,  0.2665E-06,  0.3104E-06,  0.3545E-06, &
207        0.3989E-06,  0.4435E-06,  0.4883E-06,  0.5333E-06,  0.5786E-06, &
208        0.6241E-06,  0.6698E-06,  0.7157E-06,  0.7622E-06,  0.8557E-06, &
209        0.1150E-05,  0.1462E-05,  0.1793E-05,  0.2143E-05,  0.2512E-05, &
210        0.2902E-05,  0.3313E-05,  0.4016E-05,  0.5193E-05,  0.6698E-05, &
211        0.8483E-05,  0.9378E-05,  0.9792E-05,  0.1002E-04,  0.1014E-04, &
212        0.9312E-05,  0.7834E-05,  0.6448E-05,  0.5159E-05,  0.3390E-05, &
213        0.1937E-05,  0.1205E-05,  0.8778E-06,  0.6935E-06,  0.5112E-06, &
214        0.3877E-06,  0.3262E-06,  0.2770E-06,  0.2266E-06,  0.2020E-06, &
215        0.1845E-06,  0.1679E-06,  0.1519E-06,  0.1415E-06,  0.1317E-06, &
216        0.1225E-06,  0.1137E-06,  0.1055E-06,  0.1001E-06,  0.9487E-07, &
217        0.9016E-07,  0.8641E-07,  0.8276E-07,  0.7930E-07,  0.7635E-07, &
218        0.7347E-07,  0.7065E-07,  0.6821E-07,  0.6593E-07,  0.6368E-07, &
219        0.6148E-07,  0.5998E-07,  0.5859E-07,  0.5720E-07,  0.5582E-07, &
220        0.5457E-07,  0.5339E-07,  0.5224E-07,  0.5110E-07,  0.4999E-07/
221
222!--------------------------------------------------------------------------------
223!   data set 2
224!   mid-latitude winter (75 levels) :  p(mb)  o3(g/g)
225!   surface temp = 272.2
226!
227      data (pres(i,2),i=1,np)/ &
228          0.0006244,   0.0008759,   0.0012286,   0.0017234,   0.0024174, &
229          0.0033909,   0.0047565,   0.0066720,   0.0093589,   0.0131278, &
230          0.0184145,   0.0258302,   0.0362323,   0.0508234,   0.0712906, &
231          0.1000000,   0.1402710,   0.1967600,   0.2759970,   0.3871430, &
232          0.5430,    0.7617,    1.0685,    1.4988,    2.1024,    2.9490, &
233          4.1366,    5.8025,    8.1392,   11.4170,   16.0147,   22.4640, &
234         31.5105,   44.2001,   62.0000,   85.9000,  109.8000,  133.7000, &
235        157.6000,  181.5000,  205.4000,  229.3000,  253.2000,  277.1000, &
236        301.0000,  324.9000,  348.8000,  372.7000,  396.6000,  420.5000, &
237        444.4000,  468.3000,  492.2000,  516.1000,  540.0000,  563.9000, &
238        587.8000,  611.7000,  635.6000,  659.5000,  683.4000,  707.3000, &
239        731.2000,  755.1000,  779.0000,  802.9000,  826.8000,  850.7000, &
240        874.6000,  898.5000,  922.4000,  946.3000,  970.2000,  994.1000, &
241       1018.0000/
242!
243      data (ozone(i,2),i=1,np)/ &
244        0.2353E-06,  0.3054E-06,  0.3771E-06,  0.4498E-06,  0.5236E-06, &
245        0.5984E-06,  0.6742E-06,  0.7511E-06,  0.8290E-06,  0.9080E-06, &
246        0.9881E-06,  0.1069E-05,  0.1152E-05,  0.1319E-05,  0.1725E-05, &
247        0.2145E-05,  0.2581E-05,  0.3031E-05,  0.3497E-05,  0.3980E-05, &
248        0.4478E-05,  0.5300E-05,  0.6725E-05,  0.8415E-05,  0.1035E-04, &
249        0.1141E-04,  0.1155E-04,  0.1143E-04,  0.1093E-04,  0.1060E-04, &
250        0.9720E-05,  0.8849E-05,  0.7424E-05,  0.6023E-05,  0.4310E-05, &
251        0.2820E-05,  0.1990E-05,  0.1518E-05,  0.1206E-05,  0.9370E-06, &
252        0.7177E-06,  0.5450E-06,  0.4131E-06,  0.3277E-06,  0.2563E-06, &
253        0.2120E-06,  0.1711E-06,  0.1524E-06,  0.1344E-06,  0.1199E-06, &
254        0.1066E-06,  0.9516E-07,  0.8858E-07,  0.8219E-07,  0.7598E-07, &
255        0.6992E-07,  0.6403E-07,  0.5887E-07,  0.5712E-07,  0.5540E-07, &
256        0.5370E-07,  0.5214E-07,  0.5069E-07,  0.4926E-07,  0.4785E-07, &
257        0.4713E-07,  0.4694E-07,  0.4676E-07,  0.4658E-07,  0.4641E-07, &
258        0.4634E-07,  0.4627E-07,  0.4619E-07,  0.4612E-07,  0.4605E-07/
259
260
261!--------------------------------------------------------------------------------
262!   data set 3
263!   sub-arctic summer (75 levels) :  p(mb)  o3(g/g)
264!   surface temp = 287.0
265!
266      data (pres(i,3),i=1,np)/ &
267          0.0006244,   0.0008759,   0.0012286,   0.0017234,   0.0024174, &
268          0.0033909,   0.0047565,   0.0066720,   0.0093589,   0.0131278, &
269          0.0184145,   0.0258302,   0.0362323,   0.0508234,   0.0712906, &
270          0.1000000,   0.1402710,   0.1967600,   0.2759970,   0.3871430, &
271          0.5430,    0.7617,    1.0685,    1.4988,    2.1024,    2.9490, &
272          4.1366,    5.8025,    8.1392,   11.4170,   16.0147,   22.4640, &
273         31.5105,   44.2001,   62.0000,   85.7000,  109.4000,  133.1000, &
274        156.8000,  180.5000,  204.2000,  227.9000,  251.6000,  275.3000, &
275        299.0000,  322.7000,  346.4000,  370.1000,  393.8000,  417.5000, &
276        441.2000,  464.9000,  488.6000,  512.3000,  536.0000,  559.7000, &
277        583.4000,  607.1000,  630.8000,  654.5000,  678.2000,  701.9000, &
278        725.6000,  749.3000,  773.0000,  796.7000,  820.4000,  844.1000, &
279        867.8000,  891.5000,  915.2000,  938.9000,  962.6000,  986.3000, &
280       1010.0000/
281!
282      data (ozone(i,3),i=1,np)/ &
283        0.1728E-06,  0.2131E-06,  0.2537E-06,  0.2944E-06,  0.3353E-06, &
284        0.3764E-06,  0.4176E-06,  0.4590E-06,  0.5006E-06,  0.5423E-06, &
285        0.5842E-06,  0.6263E-06,  0.6685E-06,  0.7112E-06,  0.7631E-06, &
286        0.1040E-05,  0.1340E-05,  0.1660E-05,  0.2001E-05,  0.2362E-05, &
287        0.2746E-05,  0.3153E-05,  0.3762E-05,  0.4988E-05,  0.6518E-05, &
288        0.8352E-05,  0.9328E-05,  0.9731E-05,  0.8985E-05,  0.7632E-05, &
289        0.6814E-05,  0.6384E-05,  0.5718E-05,  0.4728E-05,  0.4136E-05, &
290        0.3033E-05,  0.2000E-05,  0.1486E-05,  0.1121E-05,  0.8680E-06, &
291        0.6474E-06,  0.5164E-06,  0.3921E-06,  0.2996E-06,  0.2562E-06, &
292        0.2139E-06,  0.1723E-06,  0.1460E-06,  0.1360E-06,  0.1267E-06, &
293        0.1189E-06,  0.1114E-06,  0.1040E-06,  0.9678E-07,  0.8969E-07, &
294        0.8468E-07,  0.8025E-07,  0.7590E-07,  0.7250E-07,  0.6969E-07, &
295        0.6694E-07,  0.6429E-07,  0.6208E-07,  0.5991E-07,  0.5778E-07, &
296        0.5575E-07,  0.5403E-07,  0.5233E-07,  0.5067E-07,  0.4904E-07, &
297        0.4721E-07,  0.4535E-07,  0.4353E-07,  0.4173E-07,  0.3997E-07/
298
299
300!--------------------------------------------------------------------------------
301!   data set 3
302!   sub-arctic winter (75 levels) :   p(mb)  o3(g/g)
303!   surface temp = 257.1
304!
305      data (pres(i,4),i=1,np)/ &
306          0.0006244,   0.0008759,   0.0012286,   0.0017234,   0.0024174, &
307          0.0033909,   0.0047565,   0.0066720,   0.0093589,   0.0131278, &
308          0.0184145,   0.0258302,   0.0362323,   0.0508234,   0.0712906, &
309          0.1000000,   0.1402710,   0.1967600,   0.2759970,   0.3871430, &
310          0.5430,    0.7617,    1.0685,    1.4988,    2.1024,    2.9490, &
311          4.1366,    5.8025,    8.1392,   11.4170,   16.0147,   22.4640, &
312         31.5105,   44.2001,   62.0000,   85.7750,  109.5500,  133.3250, &
313        157.1000,  180.8750,  204.6500,  228.4250,  252.2000,  275.9750, &
314        299.7500,  323.5250,  347.3000,  371.0750,  394.8500,  418.6250, &
315        442.4000,  466.1750,  489.9500,  513.7250,  537.5000,  561.2750, &
316        585.0500,  608.8250,  632.6000,  656.3750,  680.1500,  703.9250, &
317        727.7000,  751.4750,  775.2500,  799.0250,  822.8000,  846.5750, &
318        870.3500,  894.1250,  917.9000,  941.6750,  965.4500,  989.2250, &
319       1013.0000/
320!
321      data (ozone(i,4),i=1,np)/ &
322        0.2683E-06,  0.3562E-06,  0.4464E-06,  0.5387E-06,  0.6333E-06, &
323        0.7301E-06,  0.8291E-06,  0.9306E-06,  0.1034E-05,  0.1140E-05, &
324        0.1249E-05,  0.1360E-05,  0.1474E-05,  0.1855E-05,  0.2357E-05, &
325        0.2866E-05,  0.3383E-05,  0.3906E-05,  0.4437E-05,  0.4975E-05, &
326        0.5513E-05,  0.6815E-05,  0.8157E-05,  0.1008E-04,  0.1200E-04, &
327        0.1242E-04,  0.1250E-04,  0.1157E-04,  0.1010E-04,  0.9063E-05, &
328        0.8836E-05,  0.8632E-05,  0.8391E-05,  0.7224E-05,  0.6054E-05, &
329        0.4503E-05,  0.3204E-05,  0.2278E-05,  0.1833E-05,  0.1433E-05, &
330        0.9996E-06,  0.7440E-06,  0.5471E-06,  0.3944E-06,  0.2852E-06, &
331        0.1977E-06,  0.1559E-06,  0.1333E-06,  0.1126E-06,  0.9441E-07, &
332        0.7678E-07,  0.7054E-07,  0.6684E-07,  0.6323E-07,  0.6028E-07, &
333        0.5746E-07,  0.5468E-07,  0.5227E-07,  0.5006E-07,  0.4789E-07, &
334        0.4576E-07,  0.4402E-07,  0.4230E-07,  0.4062E-07,  0.3897E-07, &
335        0.3793E-07,  0.3697E-07,  0.3602E-07,  0.3506E-07,  0.3413E-07, &
336        0.3326E-07,  0.3239E-07,  0.3153E-07,  0.3069E-07,  0.2987E-07/
337
338!--------------------------------------------------------------------------------
339!   data set 4
340!   tropical (75 levels) :   p(mb)  o3(g/g)
341!   surface temp = 300.0
342!
343      data (pres(i,5),i=1,np)/ &
344          0.0006244,   0.0008759,   0.0012286,   0.0017234,   0.0024174, &
345          0.0033909,   0.0047565,   0.0066720,   0.0093589,   0.0131278, &
346          0.0184145,   0.0258302,   0.0362323,   0.0508234,   0.0712906, &
347          0.1000000,   0.1402710,   0.1967600,   0.2759970,   0.3871430, &
348          0.5430,    0.7617,    1.0685,    1.4988,    2.1024,    2.9490, &
349          4.1366,    5.8025,    8.1392,   11.4170,   16.0147,   22.4640, &
350         31.5105,   44.2001,   62.0000,   85.7750,  109.5500,  133.3250, &
351        157.1000,  180.8750,  204.6500,  228.4250,  252.2000,  275.9750, &
352        299.7500,  323.5250,  347.3000,  371.0750,  394.8500,  418.6250, &
353        442.4000,  466.1750,  489.9500,  513.7250,  537.5000,  561.2750, &
354        585.0500,  608.8250,  632.6000,  656.3750,  680.1500,  703.9250, &
355        727.7000,  751.4750,  775.2500,  799.0250,  822.8000,  846.5750, &
356        870.3500,  894.1250,  917.9000,  941.6750,  965.4500,  989.2250, &
357       1013.0000/
358!
359      data (ozone(i,5),i=1,np)/ &
360        0.1993E-06,  0.2521E-06,  0.3051E-06,  0.3585E-06,  0.4121E-06, &
361        0.4661E-06,  0.5203E-06,  0.5748E-06,  0.6296E-06,  0.6847E-06, &
362        0.7402E-06,  0.7959E-06,  0.8519E-06,  0.9096E-06,  0.1125E-05, &
363        0.1450E-05,  0.1794E-05,  0.2156E-05,  0.2538E-05,  0.2939E-05, &
364        0.3362E-05,  0.3785E-05,  0.4753E-05,  0.6005E-05,  0.7804E-05, &
365        0.9635E-05,  0.1023E-04,  0.1067E-04,  0.1177E-04,  0.1290E-04, &
366        0.1134E-04,  0.9223E-05,  0.6667E-05,  0.3644E-05,  0.1545E-05, &
367        0.5355E-06,  0.2523E-06,  0.2062E-06,  0.1734E-06,  0.1548E-06, &
368        0.1360E-06,  0.1204E-06,  0.1074E-06,  0.9707E-07,  0.8960E-07, &
369        0.8419E-07,  0.7962E-07,  0.7542E-07,  0.7290E-07,  0.7109E-07, &
370        0.6940E-07,  0.6786E-07,  0.6635E-07,  0.6500E-07,  0.6370E-07, &
371        0.6244E-07,  0.6132E-07,  0.6022E-07,  0.5914E-07,  0.5884E-07, &
372        0.5855E-07,  0.5823E-07,  0.5772E-07,  0.5703E-07,  0.5635E-07, &
373        0.5570E-07,  0.5492E-07,  0.5412E-07,  0.5335E-07,  0.5260E-07, &
374        0.5167E-07,  0.5063E-07,  0.4961E-07,  0.4860E-07,  0.4761E-07/
375
376!--------------------------------------------------------------------------------
377
378#ifdef WRF_CHEM
379   IF ( aer_ra_feedback == 1) then
380   IF ( .NOT. &
381      ( PRESENT(tauaer300) .AND. &
382        PRESENT(tauaer400) .AND. &
383        PRESENT(tauaer600) .AND. &
384        PRESENT(tauaer999) .AND. &
385        PRESENT(gaer300) .AND. &
386        PRESENT(gaer400) .AND. &
387        PRESENT(gaer600) .AND. &
388        PRESENT(gaer999) .AND. &
389        PRESENT(waer300) .AND. &
390        PRESENT(waer400) .AND. &
391        PRESENT(waer600) .AND. &
392        PRESENT(waer999) ) ) THEN
393      CALL wrf_error_fatal ( 'Warning: missing fields required for aerosol radiation' )
394   ENDIF
395   ENDIF
396#endif
397   cldwater = .true.
398   overcast = .false.
399
400   mix=ite-its+1
401   mkx=kte-kts+1
402
403   is_summer=80
404   ie_summer=265
405
406! testing, need to change iprof, which is function of lat and julian day
407!  iprof = 1  :  mid-latitude summer profile
408!        = 2  :  mid-latitude winter profile
409!        = 3  :  sub-arctic   summer profile
410!        = 4  :  sub-arctic   winter profile
411!        = 5  :  tropical profile
412
413   IF (abs(center_lat) .le. 30. ) THEN ! tropic
414      iprof = 5
415   ELSE
416      IF (center_lat .gt.  0.) THEN
417         IF (center_lat .gt. 60. ) THEN !  arctic
418            IF (JULDAY .gt. is_summer .and. JULDAY .lt. ie_summer ) THEN
419               ! arctic summer
420               iprof = 3
421            ELSE
422               ! arctic winter
423               iprof = 4
424            ENDIF
425         ELSE        ! midlatitude
426            IF (JULDAY .gt. is_summer .and. JULDAY .lt. ie_summer ) THEN
427               ! north midlatitude summer
428               iprof = 1
429            ELSE
430               ! north midlatitude winter
431               iprof = 2
432            ENDIF
433         ENDIF
434
435      ELSE
436         IF (center_lat .lt. -60. ) THEN !  antarctic
437            IF (JULDAY .lt. is_summer .or. JULDAY .gt. ie_summer ) THEN
438               ! antarctic summer
439               iprof = 3
440            ELSE
441               ! antarctic winter
442               iprof = 4
443            ENDIF
444         ELSE        ! midlatitude
445            IF (JULDAY .lt. is_summer .or. JULDAY .gt. ie_summer ) THEN
446               ! south midlatitude summer
447               iprof = 1
448            ELSE
449               ! south midlatitude winter
450               iprof = 2
451            ENDIF
452         ENDIF
453
454      ENDIF
455   ENDIF
456
457
458   j_loop: DO J=jts,jte
459
460      DO K=kts,kte         
461      DO I=its,ite         
462         cwc(i,k,1) = 0.
463         cwc(i,k,2) = 0.
464      ENDDO
465      ENDDO
466
467      DO K=1,np
468         p(k)=pres(k,iprof)
469      ENDDO
470
471      do k = kts,kte+1
472      do i = its,ite
473      if(k.eq.kts)then
474        phyd(i,k)=p8w3d(i,kts,j)
475      else
476        phyd(i,k)=phyd(i,k-1) - g*rho_phy(i,k-1,j)*dz8w(i,k-1,j)
477        phydmid(i,k-1)=0.5*(phyd(i,k-1)+phyd(i,k))
478      endif
479      enddo
480      enddo
481! normalize full pressure range
482      do k = kts+1,kte+1
483      do i = its,ite
484        if(k.eq.kts+1)fp(i) = (p8w3d(i,kts,j)-p8w3d(i,kte+1,j))/(phyd(i,kts)-phyd(i,kte+1))
485        phyd(i,k)=phyd(i,k-1) - g*rho_phy(i,k-1,j)*dz8w(i,k-1,j)*fp(i)
486        phydmid(i,k-1)=0.5*(phyd(i,k-1)+phyd(i,k))
487      enddo
488      enddo
489
490! reverse vars
491!
492      DO K=kts,kte+1
493      DO I=its,ite
494         NK=kme-K+kms
495         P8W2D(I,K)=phyd(I,NK)*0.01   ! P8w2D is in mb
496      ENDDO
497      ENDDO
498
499      DO I=its,ite
500         P8W2D(I,0)=.0
501      ENDDO
502!
503      DO K=kts,kte
504      DO I=its,ite
505         NK=kme-1-K+kms
506         TTEN2D(I,K)=0.
507         T2D(I,K)=T3D(I,NK,J)
508
509! SH2D specific humidity
510         SH2D(I,K)=QV3D(I,NK,J)/(1.+QV3D(I,NK,J))
511         SH2D(I,K)=max(0.,SH2D(I,K))
512         cwc(I,K,2)=QC3D(I,NK,J)
513         cwc(I,K,2)=max(0.,cwc(I,K,2))
514
515         P2D(I,K)=phydmid(I,NK)*0.01      ! P2D is in mb
516         fcld2D(I,K)=CLDFRA3D(I,NK,J)
517      ENDDO
518      ENDDO
519
520! This logic is tortured because cannot test F_QI unless
521! it is present, and order of evaluation of expressions
522! is not specified in Fortran
523
524      IF ( PRESENT ( F_QI ) ) THEN
525         predicate = F_QI
526      ELSE
527        predicate = .FALSE.
528      ENDIF
529
530      IF (.NOT. warm_rain .AND. .NOT. predicate ) THEN
531         DO K=kts,kte
532         DO I=its,ite
533            IF (T2D(I,K) .lt. 273.15) THEN
534               cwc(I,K,1)=cwc(I,K,2)
535               cwc(I,K,2)=0.
536            ENDIF
537         ENDDO
538         ENDDO
539      ENDIF
540
541       IF ( PRESENT( F_QNDROP ) ) THEN
542         IF ( F_QNDROP ) THEN
543            DO K=kts,kte
544               DO I=its,ite
545                  NK=kme-1-K+kms
546                  qndrop2d(I,K)=qndrop3d(I,NK,j)
547               ENDDO
548            ENDDO
549            qndrop2d(:,kts-1)=0.
550         END IF
551      END IF
552
553     DO I=its,ite
554         TTEN2D(I,0)=0.
555         T2D(I,0)=T2D(I,1)
556! SH2D specific humidity
557         SH2D(I,0)=0.5*SH2D(i,1)
558         cwc(I,0,2)=0.
559         cwc(I,0,1)=0.
560         P2D(I,0)=0.5*(P8W2D(I,0)+P8W2D(I,1))
561         fcld2D(I,0)=0.
562      ENDDO
563!
564      IF ( PRESENT( F_QI ) .AND. PRESENT( qi3d)  ) THEN
565         IF ( (F_QI) ) THEN
566            DO K=kts,kte         
567            DO I=its,ite         
568               NK=kme-1-K+kms
569               cwc(I,K,1)=QI3D(I,NK,J)
570               cwc(I,K,1)=max(0.,cwc(I,K,1))
571            ENDDO
572            ENDDO
573         ENDIF
574      ENDIF
575!
576! ... Vertical profiles for ozone
577!
578      call o3prof (np, p, ozone(1,iprof), its, ite, kts-1, kte, P2D, O3)
579
580! ... Vertical profiles for effective particle size
581!
582      pi = 4.*atan(1.0)
583      third=1./3.
584      rhoh2o=1.e3
585      relconst=3/(4.*pi*rhoh2o)
586!     minimun liquid water path to calculate rel
587!     corresponds to optical depth of 1.e-3 for radius 4 microns.
588      lwpmin=3.e-5
589      do k = kts-1, kte
590      do i = its, ite
591         reff(i,k,2) = 10.
592         if( PRESENT( F_QNDROP ) ) then
593            if( F_QNDROP ) then
594              if ( cwc(i,k,2)*(P8W2D(I,K+1)-P8W2D(I,K)).gt.lwpmin.and. &
595                   qndrop2d(i,k).gt.1000. ) then
596               reff(i,k,2)=(relconst*cwc(i,k,2)/qndrop2d(i,k))**third ! effective radius in m
597!           apply scaling from Martin et al., JAS 51, 1830.
598               reff(i,k,2)=1.1*reff(i,k,2)
599               reff(i,k,2)=reff(i,k,2)*1.e6 ! convert from m to microns
600               reff(i,k,2)=max(reff(i,k,2),4.)
601               reff(i,k,2)=min(reff(i,k,2),20.)
602              end if
603            end if
604         end if
605         reff(i,k,1) = 80.
606      end do
607      end do
608!
609! ... Level indices separating high, middle and low clouds
610!
611      do i = its, ite
612         p400(i) = 1.e5
613         p700(i) = 1.e5
614      enddo
615
616      do k = kts-1,kte+1
617         do i = its, ite
618            if (abs(P8W2D(i,k) - 400.) .lt. p400(i)) then
619               p400(i) = abs(P8W2D(i,k) - 400.)
620               ict(i) = k
621            endif
622            if (abs(P8W2D(i,k) - 700.) .lt. p700(i)) then
623               p700(i) = abs(P8W2D(i,k) - 700.)
624               icb(i) = k
625            endif
626        end do
627      end do
628
629!wig beg
630! ... Aerosol effects. Added aerosol feedbacks with MOSAIC, Dec. 2005.
631!
632      do ib = 1, 11
633      do k = kts-1,kte
634      do i = its,ite
635         taual(i,k,ib) = 0.
636         ssaal(i,k,ib) = 0.
637         asyal(i,k,ib) = 0.
638      end do
639      end do
640      end do
641
642#ifdef WRF_CHEM
643   IF ( AER_RA_FEEDBACK == 1) then
644!wig end
645      do ib = 1, 11
646      do k = kts-1,kte-1      !wig
647      do i = its,ite
648
649!        taual(i,kte-k,ib) = 0.
650!        ssaal(i,kte-k,ib) = 0.
651!        asyal(i,kte-k,ib) = 0.
652
653!jcb beg
654! convert optical properties at 300,400,600, and 999 to conform to the band wavelengths
655! these are: 200,235,270,287.5,302.5,305,362.5,550,1920,1745,6135; why the emphasis on the UV?
656! taual - use angstrom exponent
657        if(tauaer300(i,k+1,j).gt.thresh .and. tauaer999(i,k+1,j).gt.thresh) then
658           ang=log(tauaer300(i,k+1,j)/tauaer999(i,k+1,j))/log(999./300.)
659!       write(6,*)i,k,ang,tauaer300(i,k+1,j),tauaer999(i,k+1,j)
660           taual(i,kte-k,ib)=tauaer400(i,k+1,j)*(0.4/midbands(ib))**ang ! notice reserved variable
661!       write(6,10001)i,k,ang,tauaer300(i,k+1,j),tauaer999(i,k+1,j),midbands(ib),taual(i,k,ib)
662!10001      format(i3,i3,5f12.6)
663
664! ssa - linear interpolation; extrapolation
665           slope=(waer600(i,k+1,j)-waer400(i,k+1,j))/.2
666           ssaal(i,kte-k,ib) = slope*(midbands(ib)-.6)+waer600(i,k+1,j) ! notice reversed variables
667           if(ssaal(i,kte-k,ib).lt.0.4) ssaal(i,kte-k,ib)=0.4
668           if(ssaal(i,kte-k,ib).ge.1.0) ssaal(i,kte-k,ib)=1.0
669
670! g - linear interpolation;extrapolation
671           slope=(gaer600(i,k+1,j)-gaer400(i,k+1,j))/.2
672           asyal(i,kte-k,ib) = slope*(midbands(ib)-.6)+gaer600(i,k+1,j) ! notice reversed varaibles
673           if(asyal(i,kte-k,ib).lt.0.5) asyal(i,kte-k,ib)=0.5
674           if(asyal(i,kte-k,ib).ge.1.0) asyal(i,kte-k,ib)=1.0
675        endif
676!jcb end
677      end do
678      end do
679      end do
680
681!wig beg
682      do ib = 1, 11
683      do i = its,ite
684         slope = 0.  !use slope as a sum holder
685         do k = kts-1,kte
686            slope = slope + taual(i,k,ib)
687         end do
688         if( slope < 0. ) then
689            write(msg,'("ERROR: Negative total optical depth of ",f8.2," at point i,j,ib=",3i5)') slope,i,j,ib
690            call wrf_error_fatal(msg)
691         else if( slope > 5. ) then
692            call wrf_message("-------------------------")
693            write(msg,'("WARNING: Large total optical depth of ",f8.2," at point i,j,ib=",3i5)') slope,i,j,ib
694            call wrf_message(msg)
695
696            call wrf_message("Diagnostics 1: k, tauaer300, tauaer400, tauaer600, tauaer999")
697            do k=kts,kte
698               write(msg,'(i4,4f8.2)') k, tauaer300(i,k,j), tauaer400(i,k,j), &
699                    tauaer600(i,k,j), tauaer999(i,k,j)
700               call wrf_message(msg)
701            end do
702
703            call wrf_message("Diagnostics 2: k, gaer300, gaer400, gaer600, gaer999")
704            do k=kts,kte
705               write(msg,'(i4,4f8.2)') k, gaer300(i,k,j), gaer400(i,k,j), &
706                    gaer600(i,k,j), gaer999(i,k,j)
707               call wrf_message(msg)
708            end do
709
710            call wrf_message("Diagnostics 3: k, waer300, waer400, waer600, waer999")
711            do k=kts,kte
712               write(msg,'(i4,4f8.2)') k, waer300(i,k,j), waer400(i,k,j), &
713                    waer600(i,k,j), waer999(i,k,j)
714               call wrf_message(msg)
715            end do
716
717            call wrf_message("Diagnostics 4: k, ssaal, asyal, taual")
718            do k=kts-1,kte
719               write(msg,'(i4,3f8.2)') k, ssaal(i,k,ib), asyal(i,k,ib), taual(i,k,ib)
720               call wrf_message(msg)
721            end do
722            call wrf_message("-------------------------")
723         end if
724      end do
725      end do
726!wig end
727      endif
728#endif
729!
730! ... Initialize output arrays
731!
732      do ib = 1, 2
733      do k = kts-1, kte
734      do i = its, ite
735         taucld(i,k,ib) = 0.
736      end do
737      end do
738      end do
739!
740      do k = kts-1,kte+1
741      do i = its,ite
742         flx(i,k)   = 0.
743         flxd(i,k)  = 0.
744      end do
745      end do
746!
747! ... Solar zenith angle
748!
749      do i = its,ite
750        xt24 = mod(xtime + radfrq * 0.5, 1440.)
751        tloctm = GMT + xt24 / 60. + XLONG(i,j) / 15.
752        hrang = 15. * (tloctm - 12.) * degrad
753        xxlat = XLAT(i,j) * degrad
754        cosz(i) = sin(xxlat) * sin(declin) + &
755                  cos(xxlat) * cos(declin) * cos(hrang)
756!urban
757       if(present(COSZ_URB2D)) COSZ_URB2D(i,j)=cosz(i)  !urban
758       if(present(OMG_URB2D)) OMG_URB2D(i,j)=hrang     !urban
759        rsuvbm(i) = ALB(i,j)
760        rsuvdf(i) = ALB(i,j)
761        rsirbm(i) = ALB(i,j)
762        rsirdf(i) = ALB(i,j)
763      end do
764                                 
765      call sorad (mix,1,1,mkx+1,p8w2D,t2D,sh2D,o3,                 &
766                  overcast,cldwater,cwc,taucld,reff,fcld2D,ict,icb,&
767                  taual,ssaal,asyal,                               &
768                  cosz,rsuvbm,rsuvdf,rsirbm,rsirdf,                &
769                  flx,flxd)
770!
771! ... Convert the units of flx and flc from fraction to w/m^2
772!
773      do k = kts, kte
774      do i = its, ite
775         nk=kme-1-k+kms
776         if(present(taucldc)) taucldc(i,nk,j)=taucld(i,k,2)
777         if(present(taucldi)) taucldi(i,nk,j)=taucld(i,k,1)
778      enddo
779      enddo
780 
781      do k = kts, kte+1
782        do i = its, ite
783          if (cosz(i) .lt. thresh) then
784            flx(i,k) = 0.
785          else
786            flx(i,k) = flx(i,k) * SOLCON * cosz(i)
787          endif
788        end do
789      end do
790!
791! ... Calculate heating rate (deg/sec)
792!
793      fac = .01 * g / Cp
794      do k = kts, kte
795      do i = its, ite
796         if (cosz(i) .gt. thresh) then
797             TTEN2D(i,k) = - fac * (flx(i,k) - flx(i,k+1))/ &
798                           (p8w2d(i,k)-p8w2d(i,k+1))
799         endif
800      end do
801      end do
802
803!     upward top of atmosphere
804      do i = its, ite
805        if (cosz(i) .le. thresh) then
806          RSWTOA(i,j) = 0.
807        else
808          RSWTOA(i,j) = flx(i,kts) - flxd(i,kts) * SOLCON * cosz(i)
809!         print *,'cosz,rswtoa=',cosz(i),rswtoa(i,j)
810        endif
811      end do
812!
813! ... Absorbed part in surface energy budget
814!
815      do i = its, ite
816        if (cosz(i) .le. thresh) then
817          GSW(i,j) = 0.
818        else
819          GSW(i,j) = (1. - rsuvbm(i)) * flxd(i,kte+1) * SOLCON * cosz(i)
820        endif
821      end do
822
823      DO K=kts,kte         
824         NK=kme-1-K+kms
825         DO I=its,ite
826! FIX FROM GODDARD FOR NEGATIVE VALUES
827            TTEN2D(I,NK)=MAX(TTEN2D(I,NK),0.)
828            RTHRATEN(I,K,J)=RTHRATEN(I,K,J)+TTEN2D(I,NK)/pi3D(I,K,J)
829         ENDDO
830      ENDDO
831!
832   ENDDO j_loop                                         
833
834   END SUBROUTINE GSFCSWRAD
835
836!*********************   Version Solar-6 (May 8, 1997)  *****************
837
838      subroutine sorad (m,n,ndim,np,pl,ta,wa,oa,                        &
839                        overcast,cldwater,cwc,taucld,reff,fcld,ict,icb, &
840                        taual,ssaal,asyal,                              &
841                        cosz,rsuvbm,rsuvdf,rsirbm,rsirdf,               &
842                        flx,flxd)
843
844!************************************************************************
845!
846!                        Version Solar-6 (May 8, 1997)
847!
848!  New feature of this version is:
849!   (1) An option is added for scaling the cloud optical thickness. If
850!       the fractional cloud cover, fcld, in an atmospheric model is alway
851!       either 1 or 0 (i.e. partly cloudy sky is not allowed), it does
852!       not require the scaling of cloud optical thickness, and the
853!       option "overcast" can be set to .true.  Computation is faster
854!       with this option than with overcast=.false.
855!
856!**********************************************************************
857!
858!                        Version Solar-5 (April 1997)
859!
860!  New features of this version are:
861!   (1) Cloud optical properties can be computed from cloud water/ice
862!       amount and the effective particle size.
863!   (2) Aerosol optical properties are functions of height and band.
864!   (3) A maximum-random cloud overlapping approximation is applied.
865!
866!*********************************************************************
867
868! This routine computes solar fluxes due to the absoption by water
869!  vapor, ozone, co2, o2, clouds, and aerosols and due to the
870!  scattering by clouds, aerosols, and gases.
871!
872! The solar spectrum is divided into one UV+visible band and three IR
873!  bands separated by the wavelength 0.7 micron.  The UV+visible band
874!  is further divided into eight sub-bands.
875!
876! This is a vectorized code. It computes fluxes simultaneously for
877!  (m x n) soundings, which is a subset of (m x ndim) soundings.
878!  In a global climate model, m and ndim correspond to the numbers of
879!  grid boxes in the zonal and meridional directions, respectively.
880!
881! Ice and liquid cloud particles are allowed to co-exist in a layer.
882!
883! There is an option of providing either cloud ice/water mixing ratio
884!  (cwc) or thickness (taucld).  If the former is provided, set
885!  cldwater=.true., and taucld will be computed from cwc and reff as a
886!  function of spectra band. Otherwise, set cldwater=.false., and
887!  specify taucld, independent of spectral band.
888!
889! If no information is available for reff, a default value of
890!  10 micron for liquid water and 75 micron for ice can be used.
891!  For a clear layer, reff can be set to any values except zero.
892!
893! The maximum-random assumption is applied for treating cloud
894!  overlapping.
895
896! Clouds are grouped into high, middle, and low clouds separated by
897!  the level indices ict and icb.  For detail, see subroutine cldscale.
898!
899! In a high spatial-resolution atmospheric model, fractional cloud cover
900!  might be computed to be either 0 or 1.  In such a case, scaling of the
901!  cloud optical thickness is not necessary, and the computation can be
902!  made faster by setting overcast=.true.  The option overcast=.false.
903!  can be applied to any values of the fractional cloud cover, but the
904!  computation is slower.
905!
906! Aerosol optical thickness, single-scattering albaedo, and asymmtry
907!  factor can be specified as functions of height and spectral band.
908!
909!----- Input parameters:                           
910!                                                   units      size
911!  number of soundings in zonal direction (m)       n/d        1
912!  number of soundings in meridional direction (n)  n/d        1
913!  maximum number of soundings in                   n/d        1
914!         meridional direction (ndim>=n)
915!  number of atmospheric layers (np)                n/d        1
916!  level pressure (pl)                              mb     m*ndim*(np+1)
917!  layer temperature (ta)                           k        m*ndim*np
918!  layer specific humidity (wa)                     gm/gm    m*ndim*np
919!  layer ozone concentration (oa)                   gm/gm    m*ndim*np
920!  co2 mixing ratio by volumn (co2)                 pppv       1
921!  option for scaling cloud optical thickness       n/d        1
922!        overcast="true" if scaling is NOT required
923!        overcast="fasle" if scaling is required
924!  option for cloud optical thickness               n/d        1
925!        cldwater="true" if cwc is provided
926!        cldwater="false" if taucld is provided
927!  cloud water mixing ratio (cwc)                  gm/gm     m*ndim*np*2
928!        index 1 for ice particles
929!        index 2 for liquid drops
930!  cloud optical thickness (taucld)                 n/d      m*ndim*np*2
931!        index 1 for ice particles
932!        index 2 for liquid drops
933!  effective cloud-particle size (reff)          micrometer m*ndim*np*2
934!        index 1 for ice particles
935!        index 2 for liquid drops
936!  cloud amount (fcld)                            fraction   m*ndim*np
937!  level index separating high and middle           n/d        1
938!        clouds (ict)
939!  level index separating middle and low            n/d        1
940!          clouds (icb)
941!  aerosol optical thickness (taual)                n/d    m*ndim*np*11
942!  aerosol single-scattering albedo (ssaal)         n/d    m*ndim*np*11
943!  aerosol asymmetry factor (asyal)                 n/d    m*ndim*np*11
944!        in the uv region :
945!           index  1 for the 0.175-0.225 micron band
946!           index  2 for the 0.225-0.245; 0.260-0.280 micron band
947!           index  3 for the 0.245-0.260 micron band
948!           index  4 for the 0.280-0.295 micron band
949!           index  5 for the 0.295-0.310 micron band
950!           index  6 for the 0.310-0.320 micron band
951!           index  7 for the 0.325-0.400 micron band
952!        in the par region :
953!           index  8 for the 0.400-0.700 micron band
954!        in the infrared region :
955!           index  9 for the 0.700-1.220 micron band
956!           index 10 for the 1.220-2.270 micron band
957!           index 11 for the 2.270-10.00 micron band
958!   cosine of solar zenith angle (cosz)              n/d      m*ndim
959!   uv+visible sfc albedo for beam radiation
960!        for wavelengths<0.7 micron (rsuvbm)    fraction   m*ndim
961!   uv+visible sfc albedo for diffuse radiation
962!        for wavelengths<0.7 micron (rsuvdf)    fraction   m*ndim
963!   ir sfc albedo for beam radiation
964!        for wavelengths>0.7 micron  (rsirbm)   fraction   m*ndim
965!   ir sfc albedo for diffuse radiation (rsirdf)   fraction   m*ndim
966!
967!----- Output parameters
968!
969!   all-sky flux (downward minus upward) (flx)    fraction m*ndim*(np+1)
970!   clear-sky flux (downward minus upward) (flc)  fraction m*ndim*(np+1)
971!   all-sky direct downward uv (0.175-0.4 micron)
972!                flux at the surface (fdiruv)      fraction   m*ndim
973!   all-sky diffuse downward uv flux at
974!                the surface (fdifuv)              fraction   m*ndim
975!   all-sky direct downward par (0.4-0.7 micron)
976!                flux at the surface (fdirpar)     fraction   m*ndim
977!   all-sky diffuse downward par flux at
978!                the surface (fdifpar)             fraction   m*ndim
979!   all-sky direct downward ir (0.7-10 micron)
980!                flux at the surface (fdirir)      fraction   m*ndim
981!   all-sky diffuse downward ir flux at
982!                the surface (fdifir)              fraction   m*ndim
983!
984!----- Notes:
985!
986!    (1) The unit of "flux" is fraction of the incoming solar radiation
987!        at the top of the atmosphere.  Therefore, fluxes should
988!        be equal to "flux" multiplied by the extra-terrestrial solar
989!        flux and the cosine of solar zenith angle.
990!    (2) pl(i,j,1) is the pressure at the top of the model, and
991!        pl(i,j,np+1) is the surface pressure.
992!    (3) the pressure levels ict and icb correspond approximately
993!        to 400 and 700 mb.
994!    (4) if overcast='true', the clear-sky flux, flc, is not computed.
995!       
996!**************************************************************************
997      implicit none
998!**************************************************************************
999
1000!-----input parameters
1001
1002      integer m,n,ndim,np
1003      integer ict(m,ndim),icb(m,ndim)
1004      real pl(m,ndim,np+1),ta(m,ndim,np),wa(m,ndim,np),oa(m,ndim,np)
1005      real cwc(m,ndim,np,2),taucld(m,ndim,np,2),reff(m,ndim,np,2), &
1006             fcld(m,ndim,np)
1007      real taual(m,ndim,np,11),ssaal(m,ndim,np,11),asyal(m,ndim,np,11)
1008      real cosz(m,ndim),rsuvbm(m,ndim),rsuvdf(m,ndim), &
1009             rsirbm(m,ndim),rsirdf(m,ndim)           
1010      logical overcast,cldwater
1011
1012!-----output parameters
1013
1014      real flx(m,ndim,np+1),flc(m,ndim,np+1)
1015      real flxu(m,ndim,np+1),flxd(m,ndim,np+1)
1016      real fdiruv (m,ndim),fdifuv (m,ndim)
1017      real fdirpar(m,ndim),fdifpar(m,ndim)
1018      real fdirir (m,ndim),fdifir (m,ndim)
1019
1020!-----temporary array
1021 
1022      integer i,j,k
1023      real cwp(m,n,np,2)
1024      real dp(m,n,np),wh(m,n,np),oh(m,n,np),scal(m,n,np)
1025      real swh(m,n,np+1),so2(m,n,np+1),df(m,n,np+1)
1026      real sdf(m,n),sclr(m,n),csm(m,n),x
1027 
1028      do j= 1, n
1029       do i= 1, m
1030          if (pl(i,j,1) .eq. 0.0) then
1031              pl(i,j,1)=1.0e-4
1032          endif
1033       enddo
1034      enddo
1035
1036      do j= 1, n
1037       do i= 1, m
1038
1039         swh(i,j,1)=0.
1040         so2(i,j,1)=0.
1041
1042!-----csm is the effective secant of the solar zenith angle
1043!     see equation (12) of Lacis and Hansen (1974, JAS)   
1044 
1045         csm(i,j)=35./sqrt(1224.*cosz(i,j)*cosz(i,j)+1.)
1046
1047       enddo
1048      enddo
1049
1050      do k= 1, np
1051       do j= 1, n
1052         do i= 1, m
1053
1054!-----compute layer thickness and pressure-scaling function.
1055!     indices for the surface level and surface layer
1056!     are np+1 and np, respectively.
1057 
1058          dp(i,j,k)=pl(i,j,k+1)-pl(i,j,k)
1059          scal(i,j,k)=dp(i,j,k)*(.5*(pl(i,j,k)+pl(i,j,k+1))/300.)**.8
1060 
1061!-----compute scaled water vapor amount, unit is g/cm**2
1062!     note: the sign prior to the constant 0.00135 was incorrectly
1063!           set to negative in the previous version
1064
1065          wh(i,j,k)=1.02*wa(i,j,k)*scal(i,j,k)* &
1066                    (1.+0.00135*(ta(i,j,k)-240.)) +1.e-11
1067          swh(i,j,k+1)=swh(i,j,k)+wh(i,j,k)
1068
1069!-----compute ozone amount, unit is (cm-atm)stp
1070!     the number 466.7 is a conversion factor from g/cm**2 to (cm-atm)stp
1071 
1072          oh(i,j,k)=1.02*oa(i,j,k)*dp(i,j,k)*466.7 +1.e-11
1073
1074!-----compute layer cloud water amount (gm/m**2)
1075!     the index is 1 for ice crystals and 2 for liquid drops
1076
1077          cwp(i,j,k,1)=1.02*10000.*cwc(i,j,k,1)*dp(i,j,k)
1078          cwp(i,j,k,2)=1.02*10000.*cwc(i,j,k,2)*dp(i,j,k)
1079
1080        enddo
1081       enddo
1082      enddo
1083
1084!-----initialize fluxes for all-sky (flx), clear-sky (flc), and
1085!     flux reduction (df)
1086
1087      do k=1, np+1
1088       do j=1, n
1089        do i=1, m
1090          flx(i,j,k)=0.
1091          flc(i,j,k)=0.
1092          flxu(i,j,k)=0.
1093          flxd(i,j,k)=0.
1094          df(i,j,k)=0.
1095        enddo
1096       enddo
1097      enddo
1098
1099!-----compute solar uv and par fluxes
1100
1101      call soluv (m,n,ndim,np,oh,dp,overcast,cldwater,  &
1102                  cwp,taucld,reff,ict,icb,fcld,cosz,    &
1103                  taual,ssaal,asyal,csm,rsuvbm,rsuvdf,  &
1104                  flx,flc,flxu,flxd,fdiruv,fdifuv,fdirpar,fdifpar)
1105
1106!-----compute and update solar ir fluxes
1107
1108      call solir (m,n,ndim,np,wh,overcast,cldwater,     &
1109                  cwp,taucld,reff,ict,icb,fcld,cosz,    &
1110                  taual,ssaal,asyal,csm,rsirbm,rsirdf,  &
1111                  flx,flc,flxu,flxd,fdirir,fdifir)
1112
1113!-----compute scaled o2 amount, unit is (cm-atm)stp.
1114
1115      do k= 1, np
1116       do j= 1, n
1117        do i= 1, m
1118          so2(i,j,k+1)=so2(i,j,k)+165.22*scal(i,j,k)
1119        enddo
1120       enddo
1121      enddo
1122
1123!-----compute flux reduction due to oxygen following
1124!      chou (J. climate, 1990). The fraction 0.0287 is the
1125!      extraterrestrial solar flux in the o2 bands.
1126
1127       do k= 2, np+1
1128        do j= 1, n
1129         do i= 1, m
1130           x=so2(i,j,k)*csm(i,j)
1131           df(i,j,k)=df(i,j,k)+0.0287*(1.-exp(-0.00027*sqrt(x)))
1132         enddo
1133        enddo
1134       enddo         
1135
1136!-----compute scaled co2 amounts. unit is (cm-atm)stp.
1137
1138      do k= 1, np
1139       do j= 1, n
1140        do i= 1, m
1141         so2(i,j,k+1)=so2(i,j,k)+co2*789.*scal(i,j,k)+1.e-11
1142        enddo
1143       enddo
1144      enddo
1145
1146!-----compute and update flux reduction due to co2 following
1147!     chou (J. Climate, 1990)
1148
1149      call flxco2(m,n,np,so2,swh,csm,df)
1150
1151!-----adjust for the effect of o2 cnd co2 on clear-sky fluxes.
1152
1153      do k= 2, np+1
1154       do j= 1, n
1155        do i= 1, m
1156          flc(i,j,k)=flc(i,j,k)-df(i,j,k)
1157        enddo
1158       enddo
1159      enddo
1160
1161!-----adjust for the all-sky fluxes due to o2 and co2.  It is
1162!     assumed that o2 and co2 have no effects on solar radiation
1163!     below clouds.
1164
1165      do j=1,n
1166       do i=1,m
1167        sdf(i,j)=0.0
1168        sclr(i,j)=1.0
1169       enddo
1170      enddo
1171
1172      do k=1,np
1173       do j=1,n
1174        do i=1,m
1175
1176!-----sclr is the fraction of clear sky.
1177!     sdf is the flux reduction below clouds.
1178
1179         if(fcld(i,j,k).gt.0.01) then
1180          sdf(i,j)=sdf(i,j)+df(i,j,k)*sclr(i,j)*fcld(i,j,k)
1181          sclr(i,j)=sclr(i,j)*(1.-fcld(i,j,k))
1182         endif
1183          flx(i,j,k+1)=flx(i,j,k+1)-sdf(i,j)-df(i,j,k+1)*sclr(i,j)
1184          flxu(i,j,k+1)=flxu(i,j,k+1)-sdf(i,j)-df(i,j,k+1)*sclr(i,j)
1185          flxd(i,j,k+1)=flxd(i,j,k+1)-sdf(i,j)-df(i,j,k+1)*sclr(i,j) ! SG: same as flux????
1186
1187        enddo
1188       enddo
1189      enddo
1190
1191!-----adjustment for the direct downward ir flux.
1192
1193      do j= 1, n
1194       do i= 1, m
1195        flc(i,j,np+1)=flc(i,j,np+1)+df(i,j,np+1)*rsirbm(i,j)
1196        flx(i,j,np+1)=flx(i,j,np+1)+(sdf(i,j)+ &
1197                         df(i,j,np+1)*sclr(i,j))*rsirbm(i,j)
1198        flxu(i,j,np+1)=flxu(i,j,np+1)+(sdf(i,j)+ &
1199                         df(i,j,np+1)*sclr(i,j))*rsirbm(i,j)
1200        flxd(i,j,np+1)=flxd(i,j,np+1)+(sdf(i,j)+ &
1201                         df(i,j,np+1)*sclr(i,j))*rsirbm(i,j)
1202        fdirir(i,j)=fdirir(i,j)-(sdf(i,j)+df(i,j,np+1)*sclr(i,j))
1203       enddo
1204      enddo
1205
1206      end subroutine sorad
1207
1208!************************************************************************
1209
1210      subroutine soluv (m,n,ndim,np,oh,dp,overcast,cldwater,            &
1211                cwp,taucld,reff,ict,icb,fcld,cosz,                      &
1212                taual,ssaal,asyal,csm,rsuvbm,rsuvdf,                    &
1213                flx,flc,flxu,flxd,fdiruv,fdifuv,fdirpar,fdifpar)
1214
1215!************************************************************************
1216!  compute solar fluxes in the uv+par region. the spectrum is
1217!  grouped into 8 bands:
1218
1219!              Band     Micrometer
1220!
1221!       UV-C    1.     .175 - .225
1222!               2.     .225 - .245
1223!                      .260 - .280
1224!               3.     .245 - .260
1225!
1226!       UV-B    4.     .280 - .295
1227!               5.     .295 - .310
1228!               6.     .310 - .320
1229!     
1230!       UV-A    7.     .320 - .400
1231!     
1232!       PAR     8.     .400 - .700
1233!
1234!----- Input parameters:                            units      size
1235!
1236!  number of soundings in zonal direction (m)       n/d        1
1237!  number of soundings in meridional direction (n)  n/d        1
1238!  maximum number of soundings in                   n/d        1
1239!        meridional direction (ndim)
1240!  number of atmospheric layers (np)                n/d        1
1241!  layer ozone content (oh)                      (cm-atm)stp m*n*np
1242!  layer pressure thickness (dp)                    mb       m*n*np
1243!  option for scaling cloud optical thickness       n/d        1
1244!        overcast="true" if scaling is NOT required
1245!        overcast="fasle" if scaling is required
1246!  input option for cloud optical thickness         n/d        1
1247!        cldwater="true" if taucld is provided
1248!        cldwater="false" if cwp is provided
1249!  cloud water amount (cwp)                        gm/m**2   m*n*np*2
1250!        index 1 for ice particles
1251!        index 2 for liquid drops
1252!  cloud optical thickness (taucld)                 n/d     m*ndim*np*2
1253!       index 1 for ice paticles
1254!       index 2 for liquid particles
1255!  effective cloud-particle size (reff)          micrometer m*ndim*np*2
1256!       index 1 for ice paticles
1257!       index 2 for liquid particles
1258!  level indiex separating high and                 n/d      m*n
1259!       middle clouds (ict)
1260!  level indiex separating middle and               n/d      m*n
1261!       low clouds (icb)
1262!  cloud amount (fcld)                            fraction   m*ndim*np
1263!  cosine of solar zenith angle (cosz)              n/d      m*ndim
1264!  aerosol optical thickness (taual)                n/d    m*ndim*np*11
1265!  aerosol single-scattering albedo (ssaal)         n/d    m*ndim*np*11
1266!  aerosol asymmetry factor (asyal)                 n/d    m*ndim*np*11
1267!  cosecant of the solar zenith angle (csm)         n/d      m*n
1268!  uv+par surface albedo for beam                 fraction   m*ndim
1269!       radiation (rsuvbm)
1270!  uv+par surface albedo for diffuse              fraction   m*ndim
1271!       radiation (rsuvdf)
1272!
1273!---- temporary array
1274!
1275!  scaled cloud optical thickness                   n/d      m*n*np
1276!       for beam radiation (tauclb)
1277!  scaled cloud optical thickness                   n/d      m*n*np
1278!       for diffuse radiation  (tauclf)     
1279!
1280!----- output (updated) parameters:
1281!
1282!  all-sky net downward flux (flx)               fraction  m*ndim*(np+1)
1283!  clear-sky net downward flux (flc)             fraction  m*ndim*(np+1)
1284!  all-sky direct downward uv flux at
1285!       the surface (fdiruv)                     fraction    m*ndim
1286!  all-sky diffuse downward uv flux at
1287!       the surface (fdifuv)                     fraction    m*ndim
1288!  all-sky direct downward par flux at
1289!       the surface (fdirpar)                    fraction    m*ndim
1290!  all-sky diffuse downward par flux at
1291!       the surface (fdifpar)                    fraction    m*ndim
1292!
1293!***********************************************************************
1294      implicit none
1295!***********************************************************************
1296
1297!-----input parameters
1298
1299      integer m,n,ndim,np
1300      integer ict(m,ndim),icb(m,ndim)
1301      real taucld(m,ndim,np,2),reff(m,ndim,np,2),fcld(m,ndim,np)
1302      real cc(m,n,3),cosz(m,ndim)
1303      real cwp(m,n,np,2),oh(m,n,np),dp(m,n,np)
1304      real taual(m,ndim,np,11),ssaal(m,ndim,np,11),asyal(m,ndim,np,11)
1305      real rsuvbm(m,ndim),rsuvdf(m,ndim),csm(m,n)
1306      logical overcast,cldwater
1307
1308!-----output (updated) parameter
1309
1310      real flx(m,ndim,np+1),flc(m,ndim,np+1)
1311      real flxu(m,ndim,np+1),flxd(m,ndim,np+1)
1312      real fdiruv (m,ndim),fdifuv (m,ndim)
1313      real fdirpar(m,ndim),fdifpar(m,ndim)
1314
1315!-----static parameters
1316
1317      integer nband
1318      parameter (nband=8)
1319      real hk(nband),xk(nband),ry(nband)
1320      real aig(3),awg(3)
1321
1322!-----temporary array
1323
1324      integer i,j,k,ib
1325      real tauclb(m,n,np),tauclf(m,n,np),asycl(m,n,np)
1326      real taurs,tauoz,tausto,ssatau,asysto,tauto,ssato,asyto
1327      real taux,reff1,reff2,g1,g2
1328      real td(m,n,np+1,2),rr(m,n,np+1,2),tt(m,n,np+1,2), &
1329             rs(m,n,np+1,2),ts(m,n,np+1,2)
1330      real fall(m,n,np+1),fclr(m,n,np+1),fsdir(m,n),fsdif(m,n)
1331      real fallu(m,n,np+1),falld(m,n,np+1)
1332      real asyclt(m,n)
1333      real rr1t(m,n),tt1t(m,n),td1t(m,n),rs1t(m,n),ts1t(m,n)
1334      real rr2t(m,n),tt2t(m,n),td2t(m,n),rs2t(m,n),ts2t(m,n)
1335
1336!-----hk is the fractional extra-terrestrial solar flux in each
1337!     of the 8 bands.  the sum of hk is 0.47074.
1338
1339      data hk/.00057, .00367, .00083, .00417,  &
1340              .00600, .00556, .05913, .39081/
1341
1342!-----xk is the ozone absorption coefficient. unit: /(cm-atm)stp
1343
1344      data xk /30.47, 187.2,  301.9,   42.83, &
1345               7.09,  1.25,   0.0345,  0.0539/
1346
1347!-----ry is the extinction coefficient for Rayleigh scattering.
1348!     unit: /mb.
1349
1350      data ry /.00604, .00170, .00222, .00132, &
1351               .00107, .00091, .00055, .00012/
1352
1353!-----coefficients for computing the asymmetry factor of ice clouds
1354!     from asycl=aig(*,1)+aig(*,2)*reff+aig(*,3)*reff**2, independent
1355!     of spectral band.
1356
1357      data aig/.74625000,.00105410,-.00000264/
1358
1359!-----coefficients for computing the asymmetry factor of liquid
1360!     clouds from asycl=awg(*,1)+awg(*,2)*reff+awg(*,3)*reff**2,
1361!     independent of spectral band.
1362
1363      data awg/.82562000,.00529000,-.00014866/
1364
1365!-----initialize fdiruv, fdifuv, surface reflectances and transmittances.
1366!     cc is the maximum cloud cover in each of the three cloud groups.
1367           
1368      do j= 1, n
1369       do i= 1, m                   
1370         fdiruv(i,j)=0.0
1371         fdifuv(i,j)=0.0
1372         rr(i,j,np+1,1)=rsuvbm(i,j)
1373         rr(i,j,np+1,2)=rsuvbm(i,j)
1374         rs(i,j,np+1,1)=rsuvdf(i,j)
1375         rs(i,j,np+1,2)=rsuvdf(i,j)
1376         td(i,j,np+1,1)=0.0
1377         td(i,j,np+1,2)=0.0
1378         tt(i,j,np+1,1)=0.0
1379         tt(i,j,np+1,2)=0.0
1380         ts(i,j,np+1,1)=0.0
1381         ts(i,j,np+1,2)=0.0
1382         cc(i,j,1)=0.0
1383         cc(i,j,2)=0.0
1384         cc(i,j,3)=0.0
1385       enddo
1386      enddo
1387
1388
1389!-----compute cloud optical thickness
1390
1391      if (cldwater) then
1392
1393       do k= 1, np
1394        do j= 1, n
1395         do i= 1, m
1396          taucld(i,j,k,1)=cwp(i,j,k,1)*( 3.33e-4+2.52/reff(i,j,k,1))
1397          taucld(i,j,k,2)=cwp(i,j,k,2)*(-6.59e-3+1.65/reff(i,j,k,2))
1398         enddo
1399        enddo
1400       enddo
1401
1402      endif
1403
1404!-----options for scaling cloud optical thickness
1405
1406      if (overcast) then
1407
1408       do k= 1, np
1409        do j= 1, n
1410         do i= 1, m
1411          tauclb(i,j,k)=taucld(i,j,k,1)+taucld(i,j,k,2)
1412          tauclf(i,j,k)=tauclb(i,j,k)
1413         enddo
1414        enddo
1415       enddo
1416
1417       do k= 1, 3
1418        do j= 1, n
1419         do i= 1, m
1420           cc(i,j,k)=1.0
1421         enddo
1422        enddo
1423       enddo
1424
1425      else
1426
1427!-----scale cloud optical thickness in each layer from taucld (with
1428!     cloud amount fcld) to tauclb and tauclf (with cloud amount cc).
1429!     tauclb is the scaled optical thickness for beam radiation and
1430!     tauclf is for diffuse radiation.
1431
1432       call cldscale(m,n,ndim,np,cosz,fcld,taucld,ict,icb,  &
1433                    cc,tauclb,tauclf)
1434
1435      endif
1436
1437!-----compute cloud asymmetry factor for a mixture of
1438!     liquid and ice particles.  unit of reff is micrometers.
1439
1440      do k= 1, np
1441
1442       do j= 1, n
1443        do i= 1, m
1444
1445           asyclt(i,j)=1.0
1446
1447           taux=taucld(i,j,k,1)+taucld(i,j,k,2)
1448          if (taux.gt.0.05 .and. fcld(i,j,k).gt.0.01) then
1449
1450           reff1=min(reff(i,j,k,1),130.)
1451           reff2=min(reff(i,j,k,2),20.0)
1452
1453           g1=(aig(1)+(aig(2)+aig(3)*reff1)*reff1)*taucld(i,j,k,1)
1454           g2=(awg(1)+(awg(2)+awg(3)*reff2)*reff2)*taucld(i,j,k,2)
1455           asyclt(i,j)=(g1+g2)/taux
1456
1457          endif
1458
1459        enddo
1460       enddo
1461
1462       do j=1,n
1463        do i=1,m
1464           asycl(i,j,k)=asyclt(i,j)
1465        enddo
1466       enddo
1467
1468      enddo
1469
1470!-----integration over spectral bands
1471
1472      do 100 ib=1,nband
1473
1474       do 300 k= 1, np
1475
1476        do j= 1, n
1477         do i= 1, m
1478
1479!-----compute ozone and rayleigh optical thicknesses
1480
1481          taurs=ry(ib)*dp(i,j,k)
1482          tauoz=xk(ib)*oh(i,j,k)
1483 
1484!-----compute clear-sky optical thickness, single scattering albedo,
1485!     and asymmetry factor
1486
1487          tausto=taurs+tauoz+taual(i,j,k,ib)+1.0e-8
1488          ssatau=ssaal(i,j,k,ib)*taual(i,j,k,ib)+taurs
1489          asysto=asyal(i,j,k,ib)*ssaal(i,j,k,ib)*taual(i,j,k,ib)
1490
1491          tauto=tausto
1492          ssato=ssatau/tauto+1.0e-8
1493          ssato=min(ssato,0.999999)
1494          asyto=asysto/(ssato*tauto)
1495
1496!-----compute reflectance and transmittance for cloudless layers
1497
1498!-                 for direct incident radiation
1499
1500          call deledd (tauto,ssato,asyto,csm(i,j),  &
1501                       rr1t(i,j),tt1t(i,j),td1t(i,j))
1502
1503!-                 for diffuse incident radiation
1504
1505          call sagpol (tauto,ssato,asyto,rs1t(i,j),ts1t(i,j))
1506
1507!-----compute reflectance and transmittance for cloud layers
1508
1509         if (tauclb(i,j,k).lt.0.01 .or. fcld(i,j,k).lt.0.01) then
1510
1511          rr2t(i,j)=rr1t(i,j)
1512          tt2t(i,j)=tt1t(i,j)
1513          td2t(i,j)=td1t(i,j)
1514          rs2t(i,j)=rs1t(i,j)
1515          ts2t(i,j)=ts1t(i,j)
1516
1517         else
1518
1519!--                for direct incident radiation
1520
1521          tauto=tausto+tauclb(i,j,k)
1522          ssato=(ssatau+tauclb(i,j,k))/tauto+1.0e-8
1523          ssato=min(ssato,0.999999)
1524          asyto=(asysto+asycl(i,j,k)*tauclb(i,j,k))/(ssato*tauto)
1525
1526          call deledd (tauto,ssato,asyto,csm(i,j),  &
1527                       rr2t(i,j),tt2t(i,j),td2t(i,j))
1528
1529!--                for diffuse incident radiation
1530
1531          tauto=tausto+tauclf(i,j,k)
1532          ssato=(ssatau+tauclf(i,j,k))/tauto+1.0e-8
1533          ssato=min(ssato,0.999999)
1534          asyto=(asysto+asycl(i,j,k)*tauclf(i,j,k))/(ssato*tauto)
1535
1536          call sagpol (tauto,ssato,asyto,rs2t(i,j),ts2t(i,j))
1537
1538         endif
1539
1540        enddo
1541       enddo
1542
1543        do j=1,n
1544         do i=1,m
1545            rr(i,j,k,1)=rr1t(i,j)
1546         enddo
1547        enddo
1548        do j=1,n
1549         do i=1,m
1550            tt(i,j,k,1)=tt1t(i,j)
1551         enddo
1552        enddo
1553        do j=1,n
1554         do i=1,m
1555            td(i,j,k,1)=td1t(i,j)
1556         enddo
1557        enddo
1558        do j=1,n
1559         do i=1,m
1560            rs(i,j,k,1)=rs1t(i,j)
1561         enddo
1562        enddo
1563        do j=1,n
1564         do i=1,m
1565            ts(i,j,k,1)=ts1t(i,j)
1566         enddo
1567        enddo
1568
1569        do j=1,n
1570         do i=1,m
1571            rr(i,j,k,2)=rr2t(i,j)
1572         enddo
1573        enddo
1574        do j=1,n
1575         do i=1,m
1576            tt(i,j,k,2)=tt2t(i,j)
1577         enddo
1578        enddo
1579        do j=1,n
1580         do i=1,m
1581            td(i,j,k,2)=td2t(i,j)
1582         enddo
1583        enddo
1584        do j=1,n
1585         do i=1,m
1586            rs(i,j,k,2)=rs2t(i,j)
1587         enddo
1588        enddo
1589        do j=1,n
1590         do i=1,m
1591            ts(i,j,k,2)=ts2t(i,j)
1592         enddo
1593        enddo
1594
1595 300  continue
1596
1597!-----flux calculations
1598 
1599        call cldflx (m,n,np,ict,icb,overcast,cc,rr,tt,td,rs,ts, &
1600                     fclr,fall,fallu,falld,fsdir,fsdif)
1601
1602       do k= 1, np+1
1603        do j= 1, n
1604         do i= 1, m
1605          flx(i,j,k)=flx(i,j,k)+fall(i,j,k)*hk(ib)
1606          flxu(i,j,k)=flxu(i,j,k)+fallu(i,j,k)*hk(ib)
1607          flxd(i,j,k)=flxd(i,j,k)+falld(i,j,k)*hk(ib)
1608         enddo
1609        enddo
1610        do j= 1, n
1611         do i= 1, m
1612          flc(i,j,k)=flc(i,j,k)+fclr(i,j,k)*hk(ib)
1613         enddo
1614        enddo
1615       enddo
1616
1617!-----compute downward surface fluxes in the UV and par regions
1618
1619       if(ib.lt.8) then
1620         do j=1,n
1621          do i=1,m
1622           fdiruv(i,j)=fdiruv(i,j)+fsdir(i,j)*hk(ib)
1623           fdifuv(i,j)=fdifuv(i,j)+fsdif(i,j)*hk(ib)
1624         enddo
1625        enddo
1626       else
1627         do j=1,n
1628          do i=1,m
1629           fdirpar(i,j)=fsdir(i,j)*hk(ib)
1630           fdifpar(i,j)=fsdif(i,j)*hk(ib)
1631         enddo
1632        enddo
1633       endif
1634
1635 100  continue
1636
1637      end subroutine soluv
1638
1639!************************************************************************
1640
1641      subroutine solir (m,n,ndim,np,wh,overcast,cldwater,               &
1642                        cwp,taucld,reff,ict,icb,fcld,cosz,              &
1643                        taual,ssaal,asyal,csm,rsirbm,rsirdf,            &
1644                        flx,flc,flxu,flxd,fdirir,fdifir)
1645
1646!************************************************************************
1647!  compute solar flux in the infrared region. The spectrum is divided
1648!   into three bands:
1649!
1650!          band   wavenumber(/cm)  wavelength (micron)
1651!          1( 9)    14300-8200         0.70-1.22
1652!          2(10)     8200-4400         1.22-2.27
1653!          3(11)     4400-1000         2.27-10.0
1654!
1655!----- Input parameters:                            units      size
1656!
1657!  number of soundings in zonal direction (m)       n/d        1
1658!  number of soundings in meridional direction (n)  n/d        1
1659!  maximum number of soundings in                   n/d        1
1660!         meridional direction (ndim)
1661!  number of atmospheric layers (np)                n/d        1
1662!  layer scaled-water vapor content (wh)          gm/cm^2    m*n*np
1663!  option for scaling cloud optical thickness       n/d        1
1664!        overcast="true" if scaling is NOT required
1665!        overcast="fasle" if scaling is required
1666!  input option for cloud optical thickness         n/d        1
1667!        cldwater="true" if taucld is provided
1668!        cldwater="false" if cwp is provided
1669!  cloud water concentration (cwp)                gm/m**2    m*n*np*2
1670!        index 1 for ice particles
1671!        index 2 for liquid drops
1672!  cloud optical thickness (taucld)                 n/d      m*ndim*np*2
1673!        index 1 for ice paticles
1674!  effective cloud-particle size (reff)           micrometer m*ndim*np*2
1675!        index 1 for ice paticles
1676!        index 2 for liquid particles
1677!  level index separating high and                  n/d      m*n
1678!        middle clouds (ict)
1679!  level index separating middle and                n/d      m*n
1680!        low clouds (icb)
1681!  cloud amount (fcld)                            fraction   m*ndim*np
1682!  aerosol optical thickness (taual)                n/d      m*ndim*np*11
1683!  aerosol single-scattering albedo (ssaal)         n/d      m*ndim*np*11
1684!  aerosol asymmetry factor (asyal)                 n/d      m*ndim*np*11
1685!  cosecant of the solar zenith angle (csm)         n/d      m*n
1686!  near ir surface albedo for beam                fraction   m*ndim
1687!        radiation (rsirbm)
1688!  near ir surface albedo for diffuse             fraction   m*ndim
1689!        radiation (rsirdf)
1690!
1691!---- temporary array
1692!
1693!  scaled cloud optical thickness                   n/d      m*n*np
1694!          for beam radiation (tauclb)
1695!  scaled cloud optical thickness                   n/d      m*n*np
1696!          for diffuse radiation  (tauclf)     
1697!
1698!----- output (updated) parameters:
1699!
1700!  all-sky flux (downward-upward) (flx)           fraction   m*ndim*(np+1)
1701!  clear-sky flux (downward-upward) (flc)         fraction   m*ndim*(np+1)
1702!  all-sky direct downward ir flux at
1703!          the surface (fdirir)                    fraction   m*ndim
1704!  all-sky diffuse downward ir flux at
1705!          the surface (fdifir)                    fraction   m*ndim
1706!
1707!**********************************************************************
1708      implicit none
1709!**********************************************************************
1710
1711!-----input parameters
1712
1713      integer m,n,ndim,np
1714      integer ict(m,ndim),icb(m,ndim)
1715      real cwp(m,n,np,2),taucld(m,ndim,np,2),reff(m,ndim,np,2)
1716      real fcld(m,ndim,np),cc(m,n,3),cosz(m,ndim)
1717      real rsirbm(m,ndim),rsirdf(m,ndim)
1718      real taual(m,ndim,np,11),ssaal(m,ndim,np,11),asyal(m,ndim,np,11)
1719      real wh(m,n,np),csm(m,n)
1720      logical overcast,cldwater
1721
1722!-----output (updated) parameters
1723
1724      real flx(m,ndim,np+1),flc(m,ndim,np+1)
1725      real flxu(m,ndim,np+1),flxd(m,ndim,np+1)
1726      real fdirir(m,ndim),fdifir(m,ndim)
1727
1728!-----static parameters
1729
1730      integer nk,nband
1731      parameter (nk=10,nband=3)
1732      real xk(nk),hk(nband,nk),aib(nband,2),awb(nband,2)
1733      real aia(nband,3),awa(nband,3),aig(nband,3),awg(nband,3)
1734
1735!-----temporary array
1736
1737      integer ib,iv,ik,i,j,k
1738      real tauclb(m,n,np),tauclf(m,n,np)
1739      real ssacl(m,n,np),asycl(m,n,np)
1740      real rr(m,n,np+1,2),tt(m,n,np+1,2),td(m,n,np+1,2), &
1741             rs(m,n,np+1,2),ts(m,n,np+1,2)
1742      real fall(m,n,np+1),fclr(m,n,np+1)
1743      real fallu(m,n,np+1),falld(m,n,np+1)
1744      real fsdir(m,n),fsdif(m,n)
1745
1746      real tauwv,tausto,ssatau,asysto,tauto,ssato,asyto
1747      real taux,reff1,reff2,w1,w2,g1,g2
1748      real ssaclt(m,n),asyclt(m,n)
1749      real rr1t(m,n),tt1t(m,n),td1t(m,n),rs1t(m,n),ts1t(m,n)
1750      real rr2t(m,n),tt2t(m,n),td2t(m,n),rs2t(m,n),ts2t(m,n)
1751
1752!-----water vapor absorption coefficient for 10 k-intervals.
1753!     unit: cm^2/gm
1754
1755      data xk/  &
1756        0.0010, 0.0133, 0.0422, 0.1334, 0.4217, &
1757        1.334,  5.623,  31.62,  177.8,  1000.0/ 
1758
1759!-----water vapor k-distribution function,
1760!     the sum of hk is 0.52926. unit: fraction
1761
1762      data hk/  &
1763       .20673,.08236,.01074,  .03497,.01157,.00360, &
1764       .03011,.01133,.00411,  .02260,.01143,.00421, &
1765       .01336,.01240,.00389,  .00696,.01258,.00326, &
1766       .00441,.01381,.00499,  .00115,.00650,.00465, &
1767       .00026,.00244,.00245,  .00000,.00094,.00145/
1768
1769!-----coefficients for computing the extinction coefficient of
1770!     ice clouds from b=aib(*,1)+aib(*,2)/reff
1771
1772      data aib/ &
1773        .000333, .000333, .000333, &
1774           2.52,    2.52,    2.52/
1775
1776!-----coefficients for computing the extinction coefficient of
1777!     water clouds from b=awb(*,1)+awb(*,2)/reff
1778
1779      data awb/ &
1780        -0.0101, -0.0166, -0.0339, &
1781           1.72,    1.85,    2.16/
1782
1783
1784!-----coefficients for computing the single scattering albedo of
1785!     ice clouds from ssa=1-(aia(*,1)+aia(*,2)*reff+aia(*,3)*reff**2)
1786
1787      data aia/ &
1788       -.00000260, .00215346, .08938331, &
1789        .00000746, .00073709, .00299387, &
1790        .00000000,-.00000134,-.00001038/
1791
1792!-----coefficients for computing the single scattering albedo of
1793!     liquid clouds from ssa=1-(awa(*,1)+awa(*,2)*reff+awa(*,3)*reff**2)
1794
1795      data awa/ &
1796        .00000007,-.00019934, .01209318, &
1797        .00000845, .00088757, .01784739, &
1798       -.00000004,-.00000650,-.00036910/
1799
1800!-----coefficients for computing the asymmetry factor of ice clouds
1801!     from asycl=aig(*,1)+aig(*,2)*reff+aig(*,3)*reff**2
1802
1803      data aig/ &
1804        .74935228, .76098937, .84090400, &
1805        .00119715, .00141864, .00126222, &
1806       -.00000367,-.00000396,-.00000385/
1807
1808!-----coefficients for computing the asymmetry factor of liquid clouds
1809!     from asycl=awg(*,1)+awg(*,2)*reff+awg(*,3)*reff**2
1810
1811      data awg/ &
1812        .79375035, .74513197, .83530748, &
1813        .00832441, .01370071, .00257181, &
1814       -.00023263,-.00038203, .00005519/
1815
1816!-----initialize surface fluxes, reflectances, and transmittances.
1817!     cc is the maximum cloud cover in each of the three cloud groups.
1818
1819      do j= 1, n
1820       do i= 1, m
1821         fdirir(i,j)=0.0
1822         fdifir(i,j)=0.0
1823         rr(i,j,np+1,1)=rsirbm(i,j)
1824         rr(i,j,np+1,2)=rsirbm(i,j)
1825         rs(i,j,np+1,1)=rsirdf(i,j)
1826         rs(i,j,np+1,2)=rsirdf(i,j)
1827         td(i,j,np+1,1)=0.0
1828         td(i,j,np+1,2)=0.0
1829         tt(i,j,np+1,1)=0.0
1830         tt(i,j,np+1,2)=0.0
1831         ts(i,j,np+1,1)=0.0
1832         ts(i,j,np+1,2)=0.0
1833         cc(i,j,1)=0.0
1834         cc(i,j,2)=0.0
1835         cc(i,j,3)=0.0
1836       enddo
1837      enddo
1838
1839!-----integration over spectral bands
1840
1841      do 100 ib=1,nband
1842
1843       iv=ib+8
1844
1845!-----compute cloud optical thickness
1846
1847      if (cldwater) then
1848
1849       do k= 1, np
1850        do j= 1, n
1851         do i= 1, m
1852          taucld(i,j,k,1)=cwp(i,j,k,1)*(aib(ib,1) &
1853                          +aib(ib,2)/reff(i,j,k,1))
1854          taucld(i,j,k,2)=cwp(i,j,k,2)*(awb(ib,1) &
1855                          +awb(ib,2)/reff(i,j,k,2))
1856         enddo
1857        enddo
1858       enddo
1859
1860      endif
1861
1862!-----options for scaling cloud optical thickness
1863
1864      if (overcast) then
1865
1866       do k= 1, np
1867        do j= 1, n
1868         do i= 1, m
1869          tauclb(i,j,k)=taucld(i,j,k,1)+taucld(i,j,k,2)
1870          tauclf(i,j,k)=tauclb(i,j,k)
1871         enddo
1872        enddo
1873       enddo
1874
1875       do k= 1, 3
1876        do j= 1, n
1877         do i= 1, m
1878           cc(i,j,k)=1.0
1879         enddo
1880        enddo
1881       enddo
1882
1883      else
1884
1885!-----scale cloud optical thickness in each layer from taucld (with
1886!     cloud amount fcld) to tauclb and tauclf (with cloud amount cc).
1887!     tauclb is the scaled optical thickness for beam radiation and
1888!     tauclf is for diffuse radiation.
1889
1890       call cldscale(m,n,ndim,np,cosz,fcld,taucld,ict,icb, &
1891                    cc,tauclb,tauclf)
1892
1893      endif
1894
1895!-----compute cloud single scattering albedo and asymmetry factor
1896!     for a mixture of ice and liquid particles.
1897
1898       do k= 1, np
1899
1900        do j= 1, n
1901         do i= 1, m
1902
1903           ssaclt(i,j)=1.0
1904           asyclt(i,j)=1.0
1905
1906           taux=taucld(i,j,k,1)+taucld(i,j,k,2)
1907          if (taux.gt.0.05 .and. fcld(i,j,k).gt.0.01) then
1908
1909           reff1=min(reff(i,j,k,1),130.)
1910           reff2=min(reff(i,j,k,2),20.0)
1911
1912           w1=(1.-(aia(ib,1)+(aia(ib,2)+ &
1913               aia(ib,3)*reff1)*reff1))*taucld(i,j,k,1)
1914           w2=(1.-(awa(ib,1)+(awa(ib,2)+ &
1915               awa(ib,3)*reff2)*reff2))*taucld(i,j,k,2)
1916           ssaclt(i,j)=(w1+w2)/taux
1917
1918           g1=(aig(ib,1)+(aig(ib,2)+aig(ib,3)*reff1)*reff1)*w1
1919           g2=(awg(ib,1)+(awg(ib,2)+awg(ib,3)*reff2)*reff2)*w2
1920           asyclt(i,j)=(g1+g2)/(w1+w2)
1921
1922          endif
1923
1924         enddo
1925        enddo
1926
1927        do j=1,n
1928         do i=1,m
1929            ssacl(i,j,k)=ssaclt(i,j)
1930         enddo
1931        enddo
1932        do j=1,n
1933         do i=1,m
1934            asycl(i,j,k)=asyclt(i,j)
1935         enddo
1936        enddo
1937
1938       enddo
1939
1940!-----integration over the k-distribution function
1941
1942         do 200 ik=1,nk
1943
1944          do 300 k= 1, np
1945
1946           do j= 1, n
1947            do i= 1, m
1948
1949             tauwv=xk(ik)*wh(i,j,k)
1950 
1951!-----compute clear-sky optical thickness, single scattering albedo,
1952!     and asymmetry factor.
1953 
1954             tausto=tauwv+taual(i,j,k,iv)+1.0e-8
1955             ssatau=ssaal(i,j,k,iv)*taual(i,j,k,iv)
1956             asysto=asyal(i,j,k,iv)*ssaal(i,j,k,iv)*taual(i,j,k,iv)
1957 
1958!-----compute reflectance and transmittance for cloudless layers
1959
1960             tauto=tausto
1961             ssato=ssatau/tauto+1.0e-8
1962
1963            if (ssato .gt. 0.001) then
1964
1965             ssato=min(ssato,0.999999)
1966             asyto=asysto/(ssato*tauto)
1967
1968!-                 for direct incident radiation
1969
1970             call deledd (tauto,ssato,asyto,csm(i,j),  &
1971                          rr1t(i,j),tt1t(i,j),td1t(i,j))
1972
1973!-                 for diffuse incident radiation
1974
1975             call sagpol (tauto,ssato,asyto,rs1t(i,j),ts1t(i,j))
1976
1977            else
1978
1979             td1t(i,j)=exp(-tauto*csm(i,j))
1980             ts1t(i,j)=exp(-1.66*tauto)
1981             tt1t(i,j)=0.0
1982             rr1t(i,j)=0.0
1983             rs1t(i,j)=0.0
1984
1985            endif
1986
1987!-----compute reflectance and transmittance for cloud layers
1988
1989            if (tauclb(i,j,k).lt.0.01 .or. fcld(i,j,k).lt.0.01) then
1990
1991             rr2t(i,j)=rr1t(i,j)
1992             tt2t(i,j)=tt1t(i,j)
1993             td2t(i,j)=td1t(i,j)
1994             rs2t(i,j)=rs1t(i,j)
1995             ts2t(i,j)=ts1t(i,j)
1996
1997            else
1998
1999!-                 for direct incident radiation
2000
2001             tauto=tausto+tauclb(i,j,k)
2002             ssato=(ssatau+ssacl(i,j,k)*tauclb(i,j,k))/tauto+1.0e-8
2003             ssato=min(ssato,0.999999)
2004             asyto=(asysto+asycl(i,j,k)*ssacl(i,j,k)*tauclb(i,j,k))/ &
2005                   (ssato*tauto)
2006
2007             call deledd (tauto,ssato,asyto,csm(i,j),  &
2008                          rr2t(i,j),tt2t(i,j),td2t(i,j))
2009
2010!-                 for diffuse incident radiation
2011
2012             tauto=tausto+tauclf(i,j,k)
2013             ssato=(ssatau+ssacl(i,j,k)*tauclf(i,j,k))/tauto+1.0e-8
2014             ssato=min(ssato,0.999999)
2015             asyto=(asysto+asycl(i,j,k)*ssacl(i,j,k)*tauclf(i,j,k))/ &
2016                   (ssato*tauto)
2017
2018             call sagpol (tauto,ssato,asyto,rs2t(i,j),ts2t(i,j))
2019
2020            endif
2021
2022           enddo
2023          enddo
2024
2025           do j=1,n
2026            do i=1,m
2027               rr(i,j,k,1)=rr1t(i,j)
2028            enddo
2029           enddo
2030           do j=1,n
2031            do i=1,m
2032               tt(i,j,k,1)=tt1t(i,j)
2033            enddo
2034           enddo
2035           do j=1,n
2036            do i=1,m
2037               td(i,j,k,1)=td1t(i,j)
2038            enddo
2039           enddo
2040           do j=1,n
2041            do i=1,m
2042               rs(i,j,k,1)=rs1t(i,j)
2043            enddo
2044           enddo
2045           do j=1,n
2046            do i=1,m
2047               ts(i,j,k,1)=ts1t(i,j)
2048            enddo
2049           enddo
2050 
2051           do j=1,n
2052            do i=1,m
2053               rr(i,j,k,2)=rr2t(i,j)
2054            enddo
2055           enddo
2056           do j=1,n
2057            do i=1,m
2058               tt(i,j,k,2)=tt2t(i,j)
2059            enddo
2060           enddo
2061           do j=1,n
2062            do i=1,m
2063               td(i,j,k,2)=td2t(i,j)
2064            enddo
2065           enddo
2066           do j=1,n
2067            do i=1,m
2068               rs(i,j,k,2)=rs2t(i,j)
2069            enddo
2070           enddo
2071           do j=1,n
2072            do i=1,m
2073               ts(i,j,k,2)=ts2t(i,j)
2074            enddo
2075           enddo
2076
2077 300  continue
2078
2079!-----flux calculations
2080
2081        call cldflx (m,n,np,ict,icb,overcast,cc,rr,tt,td,rs,ts, &
2082                     fclr,fall,fallu,falld,fsdir,fsdif)
2083
2084       do k= 1, np+1
2085        do j= 1, n
2086         do i= 1, m
2087          flx(i,j,k) = flx(i,j,k)+fall(i,j,k)*hk(ib,ik)
2088          flxu(i,j,k) = flxu(i,j,k)+fallu(i,j,k)*hk(ib,ik)
2089          flxd(i,j,k) = flxd(i,j,k)+falld(i,j,k)*hk(ib,ik)
2090         enddo
2091        enddo
2092        do j= 1, n
2093         do i= 1, m
2094          flc(i,j,k) = flc(i,j,k)+fclr(i,j,k)*hk(ib,ik)
2095         enddo
2096        enddo
2097       enddo
2098
2099!-----compute downward surface fluxes in the ir region
2100
2101       do j= 1, n
2102        do i= 1, m
2103          fdirir(i,j) = fdirir(i,j)+fsdir(i,j)*hk(ib,ik)
2104          fdifir(i,j) = fdifir(i,j)+fsdif(i,j)*hk(ib,ik)
2105        enddo
2106       enddo
2107
2108  200 continue
2109  100 continue
2110 
2111      end subroutine solir
2112
2113!********************************************************************
2114
2115      subroutine cldscale (m,n,ndim,np,cosz,fcld,taucld,ict,icb,    &
2116                           cc,tauclb,tauclf)
2117
2118!********************************************************************
2119!
2120!   This subroutine computes the high, middle, and
2121!    low cloud amounts and scales the cloud optical thickness.
2122!
2123!   To simplify calculations in a cloudy atmosphere, clouds are
2124!    grouped into high, middle and low clouds separated by the levels
2125!    ict and icb (level 1 is the top of the model atmosphere).
2126!
2127!   Within each of the three groups, clouds are assumed maximally
2128!    overlapped, and the cloud cover (cc) of a group is the maximum
2129!    cloud cover of all the layers in the group.  The optical thickness
2130!    (taucld) of a given layer is then scaled to new values (tauclb and
2131!    tauclf) so that the layer reflectance corresponding to the cloud
2132!    cover cc is the same as the original reflectance with optical
2133!    thickness taucld and cloud cover fcld.
2134!
2135!---input parameters
2136!
2137!    number of grid intervals in zonal direction (m)
2138!    number of grid intervals in meridional direction (n)
2139!    maximum number of grid intervals in meridional direction (ndim)
2140!    number of atmospheric layers (np)
2141!    cosine of the solar zenith angle (cosz)
2142!    fractional cloud cover (fcld)
2143!    cloud optical thickness (taucld)
2144!    index separating high and middle clouds (ict)
2145!    index separating middle and low clouds (icb)
2146!
2147!---output parameters
2148!
2149!    fractional cover of high, middle, and low clouds (cc)
2150!    scaled cloud optical thickness for beam radiation (tauclb)
2151!    scaled cloud optical thickness for diffuse radiation (tauclf)
2152!
2153!********************************************************************
2154      implicit none
2155!********************************************************************
2156
2157!-----input parameters
2158
2159      integer m,n,ndim,np
2160      integer ict(m,ndim),icb(m,ndim)
2161      real cosz(m,ndim),fcld(m,ndim,np),taucld(m,ndim,np,2)
2162
2163!-----output parameters
2164
2165      real cc(m,n,3),tauclb(m,n,np),tauclf(m,n,np)
2166
2167!-----temporary variables
2168
2169      integer i,j,k,im,it,ia,kk
2170      real  fm,ft,fa,xai,taux
2171
2172!-----pre-computed table
2173
2174      integer   nm,nt,na
2175      parameter (nm=11,nt=9,na=11)
2176      real  dm,dt,da,t1,caib(nm,nt,na),caif(nt,na)
2177      parameter (dm=0.1,dt=0.30103,da=0.1,t1=-0.9031)
2178
2179!-----include the pre-computed table of mcai for scaling the cloud optical
2180!     thickness under the assumption that clouds are maximally overlapped
2181!
2182!     caib is for scaling the cloud optical thickness for direct radiation
2183!     caif is for scaling the cloud optical thickness for diffuse radiation
2184
2185
2186      data ((caib(1,i,j),j=1,11),i=1,9)/  &
2187       .000,0.068,0.140,0.216,0.298,0.385,0.481,0.586,0.705,0.840,1.000, &
2188       .000,0.052,0.106,0.166,0.230,0.302,0.383,0.478,0.595,0.752,1.000, &
2189       .000,0.038,0.078,0.120,0.166,0.218,0.276,0.346,0.438,0.582,1.000, &
2190       .000,0.030,0.060,0.092,0.126,0.164,0.206,0.255,0.322,0.442,1.000, &
2191       .000,0.025,0.051,0.078,0.106,0.136,0.170,0.209,0.266,0.462,1.000, &
2192       .000,0.023,0.046,0.070,0.095,0.122,0.150,0.187,0.278,0.577,1.000, &
2193       .000,0.022,0.043,0.066,0.089,0.114,0.141,0.187,0.354,0.603,1.000, &
2194       .000,0.021,0.042,0.063,0.086,0.108,0.135,0.214,0.349,0.565,1.000, &
2195       .000,0.021,0.041,0.062,0.083,0.105,0.134,0.202,0.302,0.479,1.000/
2196      data ((caib(2,i,j),j=1,11),i=1,9)/ &
2197       .000,0.088,0.179,0.272,0.367,0.465,0.566,0.669,0.776,0.886,1.000, &
2198       .000,0.079,0.161,0.247,0.337,0.431,0.531,0.637,0.749,0.870,1.000, &
2199       .000,0.065,0.134,0.207,0.286,0.372,0.466,0.572,0.692,0.831,1.000, &
2200       .000,0.049,0.102,0.158,0.221,0.290,0.370,0.465,0.583,0.745,1.000, &
2201       .000,0.037,0.076,0.118,0.165,0.217,0.278,0.354,0.459,0.638,1.000, &
2202       .000,0.030,0.061,0.094,0.130,0.171,0.221,0.286,0.398,0.631,1.000, &
2203       .000,0.026,0.052,0.081,0.111,0.146,0.189,0.259,0.407,0.643,1.000, &
2204       .000,0.023,0.047,0.072,0.098,0.129,0.170,0.250,0.387,0.598,1.000, &
2205       .000,0.022,0.044,0.066,0.090,0.118,0.156,0.224,0.328,0.508,1.000/
2206      data ((caib(3,i,j),j=1,11),i=1,9)/ &
2207       .000,0.094,0.189,0.285,0.383,0.482,0.582,0.685,0.788,0.894,1.000, &
2208       .000,0.088,0.178,0.271,0.366,0.465,0.565,0.669,0.776,0.886,1.000, &
2209       .000,0.079,0.161,0.247,0.337,0.431,0.531,0.637,0.750,0.870,1.000, &
2210       .000,0.066,0.134,0.209,0.289,0.375,0.470,0.577,0.697,0.835,1.000, &
2211       .000,0.050,0.104,0.163,0.227,0.300,0.383,0.483,0.606,0.770,1.000, &
2212       .000,0.038,0.080,0.125,0.175,0.233,0.302,0.391,0.518,0.710,1.000, &
2213       .000,0.031,0.064,0.100,0.141,0.188,0.249,0.336,0.476,0.689,1.000, &
2214       .000,0.026,0.054,0.084,0.118,0.158,0.213,0.298,0.433,0.638,1.000, &
2215       .000,0.023,0.048,0.074,0.102,0.136,0.182,0.254,0.360,0.542,1.000/
2216      data ((caib(4,i,j),j=1,11),i=1,9)/ &
2217       .000,0.096,0.193,0.290,0.389,0.488,0.589,0.690,0.792,0.896,1.000, &
2218       .000,0.092,0.186,0.281,0.378,0.477,0.578,0.680,0.785,0.891,1.000, &
2219       .000,0.086,0.174,0.264,0.358,0.455,0.556,0.660,0.769,0.882,1.000, &
2220       .000,0.074,0.153,0.235,0.323,0.416,0.514,0.622,0.737,0.862,1.000, &
2221       .000,0.061,0.126,0.195,0.271,0.355,0.449,0.555,0.678,0.823,1.000, &
2222       .000,0.047,0.098,0.153,0.215,0.286,0.370,0.471,0.600,0.770,1.000, &
2223       .000,0.037,0.077,0.120,0.170,0.230,0.303,0.401,0.537,0.729,1.000, &
2224       .000,0.030,0.062,0.098,0.138,0.187,0.252,0.343,0.476,0.673,1.000, &
2225       .000,0.026,0.053,0.082,0.114,0.154,0.207,0.282,0.391,0.574,1.000/
2226      data ((caib(5,i,j),j=1,11),i=1,9)/ &
2227       .000,0.097,0.194,0.293,0.392,0.492,0.592,0.693,0.794,0.897,1.000, &
2228       .000,0.094,0.190,0.286,0.384,0.483,0.584,0.686,0.789,0.894,1.000, &
2229       .000,0.090,0.181,0.274,0.370,0.468,0.569,0.672,0.778,0.887,1.000, &
2230       .000,0.081,0.165,0.252,0.343,0.439,0.539,0.645,0.757,0.874,1.000, &
2231       .000,0.069,0.142,0.218,0.302,0.392,0.490,0.598,0.717,0.850,1.000, &
2232       .000,0.054,0.114,0.178,0.250,0.330,0.422,0.529,0.656,0.810,1.000, &
2233       .000,0.042,0.090,0.141,0.200,0.269,0.351,0.455,0.589,0.764,1.000, &
2234       .000,0.034,0.070,0.112,0.159,0.217,0.289,0.384,0.515,0.703,1.000, &
2235       .000,0.028,0.058,0.090,0.128,0.174,0.231,0.309,0.420,0.602,1.000/
2236      data ((caib(6,i,j),j=1,11),i=1,9)/ &
2237       .000,0.098,0.196,0.295,0.394,0.494,0.594,0.695,0.796,0.898,1.000, &
2238       .000,0.096,0.193,0.290,0.389,0.488,0.588,0.690,0.792,0.895,1.000, &
2239       .000,0.092,0.186,0.281,0.378,0.477,0.577,0.680,0.784,0.891,1.000, &
2240       .000,0.086,0.174,0.264,0.358,0.455,0.556,0.661,0.769,0.882,1.000, &
2241       .000,0.075,0.154,0.237,0.325,0.419,0.518,0.626,0.741,0.865,1.000, &
2242       .000,0.062,0.129,0.201,0.279,0.366,0.462,0.571,0.694,0.836,1.000, &
2243       .000,0.049,0.102,0.162,0.229,0.305,0.394,0.501,0.631,0.793,1.000, &
2244       .000,0.038,0.080,0.127,0.182,0.245,0.323,0.422,0.550,0.730,1.000, &
2245       .000,0.030,0.064,0.100,0.142,0.192,0.254,0.334,0.448,0.627,1.000/
2246      data ((caib(7,i,j),j=1,11),i=1,9)/ &
2247       .000,0.098,0.198,0.296,0.396,0.496,0.596,0.696,0.797,0.898,1.000, &
2248       .000,0.097,0.194,0.293,0.392,0.491,0.591,0.693,0.794,0.897,1.000, &
2249       .000,0.094,0.190,0.286,0.384,0.483,0.583,0.686,0.789,0.894,1.000, &
2250       .000,0.089,0.180,0.274,0.369,0.467,0.568,0.672,0.778,0.887,1.000, &
2251       .000,0.081,0.165,0.252,0.344,0.440,0.541,0.646,0.758,0.875,1.000, &
2252       .000,0.069,0.142,0.221,0.306,0.397,0.496,0.604,0.722,0.854,1.000, &
2253       .000,0.056,0.116,0.182,0.256,0.338,0.432,0.540,0.666,0.816,1.000, &
2254       .000,0.043,0.090,0.143,0.203,0.273,0.355,0.455,0.583,0.754,1.000, &
2255       .000,0.034,0.070,0.111,0.157,0.210,0.276,0.359,0.474,0.650,1.000/
2256      data ((caib(8,i,j),j=1,11),i=1,9)/ &
2257       .000,0.099,0.198,0.298,0.398,0.497,0.598,0.698,0.798,0.899,1.000, &
2258       .000,0.098,0.196,0.295,0.394,0.494,0.594,0.695,0.796,0.898,1.000, &
2259       .000,0.096,0.193,0.290,0.390,0.489,0.589,0.690,0.793,0.896,1.000, &
2260       .000,0.093,0.186,0.282,0.379,0.478,0.578,0.681,0.786,0.892,1.000, &
2261       .000,0.086,0.175,0.266,0.361,0.458,0.558,0.663,0.771,0.883,1.000, &
2262       .000,0.076,0.156,0.240,0.330,0.423,0.523,0.630,0.744,0.867,1.000, &
2263       .000,0.063,0.130,0.203,0.282,0.369,0.465,0.572,0.694,0.834,1.000, &
2264       .000,0.049,0.102,0.161,0.226,0.299,0.385,0.486,0.611,0.774,1.000, &
2265       .000,0.038,0.078,0.122,0.172,0.229,0.297,0.382,0.498,0.672,1.000/
2266      data ((caib(9,i,j),j=1,11),i=1,9)/ &
2267       .000,0.099,0.199,0.298,0.398,0.498,0.598,0.699,0.799,0.899,1.000, &
2268       .000,0.099,0.198,0.298,0.398,0.497,0.598,0.698,0.798,0.899,1.000, &
2269       .000,0.098,0.196,0.295,0.394,0.494,0.594,0.695,0.796,0.898,1.000, &
2270       .000,0.096,0.193,0.290,0.389,0.488,0.588,0.690,0.792,0.895,1.000, &
2271       .000,0.092,0.185,0.280,0.376,0.474,0.575,0.678,0.782,0.890,1.000, &
2272       .000,0.084,0.170,0.259,0.351,0.447,0.547,0.652,0.762,0.878,1.000, &
2273       .000,0.071,0.146,0.224,0.308,0.398,0.494,0.601,0.718,0.850,1.000, &
2274       .000,0.056,0.114,0.178,0.248,0.325,0.412,0.514,0.638,0.793,1.000, &
2275       .000,0.042,0.086,0.134,0.186,0.246,0.318,0.405,0.521,0.691,1.000/
2276      data ((caib(10,i,j),j=1,11),i=1,9)/ &
2277       .000,0.100,0.200,0.300,0.400,0.500,0.600,0.700,0.800,0.900,1.000, &
2278       .000,0.100,0.200,0.300,0.400,0.500,0.600,0.700,0.800,0.900,1.000, &
2279       .000,0.100,0.200,0.300,0.400,0.500,0.600,0.700,0.800,0.900,1.000, &
2280       .000,0.100,0.199,0.298,0.398,0.498,0.598,0.698,0.798,0.899,1.000, &
2281       .000,0.098,0.196,0.294,0.392,0.491,0.590,0.691,0.793,0.896,1.000, &
2282       .000,0.092,0.185,0.278,0.374,0.470,0.570,0.671,0.777,0.886,1.000, &
2283       .000,0.081,0.162,0.246,0.333,0.424,0.521,0.625,0.738,0.862,1.000, &
2284       .000,0.063,0.128,0.196,0.270,0.349,0.438,0.540,0.661,0.809,1.000, &
2285       .000,0.046,0.094,0.146,0.202,0.264,0.337,0.426,0.542,0.710,1.000/
2286      data ((caib(11,i,j),j=1,11),i=1,9)/ &
2287       .000,0.101,0.202,0.302,0.402,0.502,0.602,0.702,0.802,0.901,1.000, &
2288       .000,0.102,0.202,0.303,0.404,0.504,0.604,0.703,0.802,0.902,1.000, &
2289       .000,0.102,0.205,0.306,0.406,0.506,0.606,0.706,0.804,0.902,1.000, &
2290       .000,0.104,0.207,0.309,0.410,0.510,0.609,0.707,0.805,0.902,1.000, &
2291       .000,0.106,0.208,0.309,0.409,0.508,0.606,0.705,0.803,0.902,1.000, &
2292       .000,0.102,0.202,0.298,0.395,0.493,0.590,0.690,0.790,0.894,1.000, &
2293       .000,0.091,0.179,0.267,0.357,0.449,0.545,0.647,0.755,0.872,1.000, &
2294       .000,0.073,0.142,0.214,0.290,0.372,0.462,0.563,0.681,0.822,1.000, &
2295       .000,0.053,0.104,0.158,0.217,0.281,0.356,0.446,0.562,0.726,1.000/
2296      data ((caif(i,j),j=1,11),i=1,9)/ &
2297       .000,0.099,0.198,0.297,0.397,0.496,0.597,0.697,0.798,0.899,1.000, &
2298       .000,0.098,0.196,0.294,0.394,0.494,0.594,0.694,0.796,0.898,1.000, &
2299       .000,0.096,0.192,0.290,0.388,0.487,0.587,0.689,0.792,0.895,1.000, &
2300       .000,0.092,0.185,0.280,0.376,0.476,0.576,0.678,0.783,0.890,1.000, &
2301       .000,0.085,0.173,0.263,0.357,0.454,0.555,0.659,0.768,0.881,1.000, &
2302       .000,0.076,0.154,0.237,0.324,0.418,0.517,0.624,0.738,0.864,1.000, &
2303       .000,0.063,0.131,0.203,0.281,0.366,0.461,0.567,0.688,0.830,1.000, &
2304       .000,0.052,0.107,0.166,0.232,0.305,0.389,0.488,0.610,0.770,1.000, &
2305       .000,0.043,0.088,0.136,0.189,0.248,0.317,0.400,0.510,0.675,1.000/
2306
2307!-----clouds within each of the high, middle, and low clouds are assumed
2308!     to be maximally overlapped, and the cloud cover (cc) for a group
2309!     (high, middle, or low) is the maximum cloud cover of all the layers
2310!     within a group
2311
2312      do j=1,n
2313       do i=1,m
2314         cc(i,j,1)=0.0
2315         cc(i,j,2)=0.0
2316         cc(i,j,3)=0.0
2317       enddo
2318      enddo
2319      do j=1,n
2320       do i=1,m
2321        do k=1,ict(i,j)-1
2322          cc(i,j,1)=max(cc(i,j,1),fcld(i,j,k))
2323        enddo
2324       enddo
2325      enddo
2326
2327      do j=1,n
2328       do i=1,m
2329        do k=ict(i,j),icb(i,j)-1
2330          cc(i,j,2)=max(cc(i,j,2),fcld(i,j,k))
2331        enddo
2332       enddo
2333      enddo
2334
2335      do j=1,n
2336       do i=1,m
2337        do k=icb(i,j),np
2338          cc(i,j,3)=max(cc(i,j,3),fcld(i,j,k))
2339        enddo
2340       enddo
2341      enddo
2342
2343!-----scale the cloud optical thickness.
2344!     taucld(i,j,k,1) is the optical thickness for ice particles, and
2345!     taucld(i,j,k,2) is the optical thickness for liquid particles.
2346     
2347      do j=1,n
2348       do i=1,m
2349
2350        do k=1,np
2351
2352         if(k.lt.ict(i,j)) then
2353            kk=1
2354         elseif(k.ge.ict(i,j) .and. k.lt.icb(i,j)) then
2355            kk=2
2356         else
2357            kk=3
2358         endif
2359
2360         tauclb(i,j,k) = 0.0
2361         tauclf(i,j,k) = 0.0
2362
2363         taux=taucld(i,j,k,1)+taucld(i,j,k,2)
2364         if (taux.gt.0.05 .and. fcld(i,j,k).gt.0.01) then
2365
2366!-----normalize cloud cover
2367
2368           fa=fcld(i,j,k)/cc(i,j,kk)
2369
2370!-----table look-up
2371
2372           taux=min(taux,32.)
2373
2374           fm=cosz(i,j)/dm
2375           ft=(log10(taux)-t1)/dt
2376           fa=fa/da
2377 
2378           im=int(fm+1.5)
2379           it=int(ft+1.5)
2380           ia=int(fa+1.5)
2381 
2382           im=max(im,2)
2383           it=max(it,2)
2384           ia=max(ia,2)
2385     
2386           im=min(im,nm-1)
2387           it=min(it,nt-1)
2388           ia=min(ia,na-1)
2389
2390           fm=fm-float(im-1)
2391           ft=ft-float(it-1)
2392           fa=fa-float(ia-1)
2393
2394!-----scale cloud optical thickness for beam radiation.
2395!     the scaling factor, xai, is a function of the solar zenith
2396!     angle, optical thickness, and cloud cover.
2397 
2398           xai=    (-caib(im-1,it,ia)*(1.-fm)+ &
2399            caib(im+1,it,ia)*(1.+fm))*fm*.5+caib(im,it,ia)*(1.-fm*fm)
2400         
2401           xai=xai+(-caib(im,it-1,ia)*(1.-ft)+ &
2402            caib(im,it+1,ia)*(1.+ft))*ft*.5+caib(im,it,ia)*(1.-ft*ft)
2403
2404           xai=xai+(-caib(im,it,ia-1)*(1.-fa)+ &
2405           caib(im,it,ia+1)*(1.+fa))*fa*.5+caib(im,it,ia)*(1.-fa*fa)
2406
2407           xai= xai-2.*caib(im,it,ia)
2408           xai=max(xai,0.0)
2409     
2410           tauclb(i,j,k) = taux*xai
2411
2412!-----scale cloud optical thickness for diffuse radiation.
2413!     the scaling factor, xai, is a function of the cloud optical
2414!     thickness and cover but not the solar zenith angle.
2415
2416           xai=    (-caif(it-1,ia)*(1.-ft)+ &
2417            caif(it+1,ia)*(1.+ft))*ft*.5+caif(it,ia)*(1.-ft*ft)
2418
2419           xai=xai+(-caif(it,ia-1)*(1.-fa)+ &
2420            caif(it,ia+1)*(1.+fa))*fa*.5+caif(it,ia)*(1.-fa*fa)
2421
2422           xai= xai-caif(it,ia)
2423           xai=max(xai,0.0)
2424     
2425           tauclf(i,j,k) = taux*xai
2426
2427         endif
2428
2429        enddo
2430       enddo
2431      enddo
2432
2433      end subroutine cldscale
2434
2435!*********************************************************************
2436
2437      subroutine deledd(tau,ssc,g0,csm,rr,tt,td)
2438
2439!*********************************************************************
2440!
2441!-----uses the delta-eddington approximation to compute the
2442!     bulk scattering properties of a single layer
2443!     coded following King and Harshvardhan (JAS, 1986)
2444!
2445!  inputs:
2446!
2447!     tau: the effective optical thickness
2448!     ssc: the effective single scattering albedo
2449!     g0:  the effective asymmetry factor
2450!     csm: the effective secant of the zenith angle
2451!
2452!  outputs:
2453!
2454!     rr: the layer reflection of the direct beam
2455!     tt: the layer diffuse transmission of the direct beam
2456!     td: the layer direct transmission of the direct beam
2457!
2458!*********************************************************************
2459      implicit none
2460!*********************************************************************
2461
2462      real zero,one,two,three,four,fourth,seven,thresh
2463      parameter (one =1., three=3.)
2464      parameter (two =2., seven=7.)
2465      parameter (four=4., fourth=.25)
2466      parameter (zero=0., thresh=1.e-8)
2467
2468!-----input parameters
2469      real tau,ssc,g0,csm
2470
2471!-----output parameters
2472      real rr,tt,td
2473
2474!-----temporary parameters
2475
2476      real zth,ff,xx,taup,sscp,gp,gm1,gm2,gm3,akk,alf1,alf2, &
2477           all,bll,st7,st8,cll,dll,fll,ell,st1,st2,st3,st4
2478 
2479!---------------------------------------------------------------------
2480
2481                zth = one / csm
2482 
2483!  delta-eddington scaling of single scattering albedo,
2484!  optical thickness, and asymmetry factor,
2485!  K & H eqs(27-29)
2486
2487                ff  = g0*g0
2488                xx  = one-ff*ssc
2489                taup= tau*xx
2490                sscp= ssc*(one-ff)/xx
2491                gp  = g0/(one+g0)
2492 
2493!  gamma1, gamma2, and gamma3. see table 2 and eq(26) K & H
2494!  ssc and gp are the d-s single scattering
2495!  albedo and asymmetry factor.
2496
2497                xx  =  three*gp
2498                gm1 =  (seven - sscp*(four+xx))*fourth
2499                gm2 = -(one   - sscp*(four-xx))*fourth
2500 
2501!  akk is k as defined in eq(25) of K & H
2502 
2503                akk = sqrt((gm1+gm2)*(gm1-gm2))
2504 
2505                xx  = akk * zth
2506                st7 = one - xx
2507                st8 = one + xx
2508                st3 = st7 * st8
2509
2510                if (abs(st3) .lt. thresh) then
2511                    zth = zth + 0.001
2512                    xx  = akk * zth
2513                    st7 = one - xx
2514                    st8 = one + xx
2515                    st3 = st7 * st8
2516                endif
2517
2518!  extinction of the direct beam transmission
2519 
2520                td  = exp(-taup/zth)
2521
2522!  alf1 and alf2 are alpha1 and alpha2 from eqs (23) & (24) of K & H
2523 
2524                gm3  = (two - zth*three*gp)*fourth
2525                xx   = gm1 - gm2
2526                alf1 = gm1 - gm3 * xx
2527                alf2 = gm2 + gm3 * xx
2528 
2529!  all is last term in eq(21) of K & H
2530!  bll is last term in eq(22) of K & H
2531 
2532                xx  = akk * two
2533                all = (gm3 - alf2 * zth    )*xx*td
2534                bll = (one - gm3 + alf1*zth)*xx
2535 
2536                xx  = akk * gm3
2537                cll = (alf2 + xx) * st7
2538                dll = (alf2 - xx) * st8
2539 
2540                xx  = akk * (one-gm3)
2541                fll = (alf1 + xx) * st8
2542                ell = (alf1 - xx) * st7
2543 
2544                st2 = exp(-akk*taup)
2545                st4 = st2 * st2
2546 
2547                st1 =  sscp / ((akk+gm1 + (akk-gm1)*st4) * st3)
2548 
2549!  rr is r-hat of eq(21) of K & H
2550!  tt is diffuse part of t-hat of eq(22) of K & H
2551 
2552                rr =   ( cll-dll*st4    -all*st2)*st1
2553                tt = - ((fll-ell*st4)*td-bll*st2)*st1
2554 
2555                rr = max(rr,zero)
2556                tt = max(tt,zero)
2557
2558      end subroutine deledd
2559
2560!*********************************************************************
2561
2562      subroutine sagpol(tau,ssc,g0,rll,tll)
2563
2564!*********************************************************************
2565!-----transmittance (tll) and reflectance (rll) of diffuse radiation
2566!     follows Sagan and Pollock (JGR, 1967).
2567!     also, eq.(31) of Lacis and Hansen (JAS, 1974).
2568!
2569!-----input parameters:
2570!
2571!      tau: the effective optical thickness
2572!      ssc: the effective single scattering albedo
2573!      g0:  the effective asymmetry factor
2574!
2575!-----output parameters:
2576!
2577!      rll: the layer reflection of diffuse radiation
2578!      tll: the layer transmission of diffuse radiation
2579!
2580!*********************************************************************
2581      implicit none
2582!*********************************************************************
2583
2584      real one,three,four
2585      parameter (one=1., three=3., four=4.)
2586
2587!-----output parameters:
2588
2589      real tau,ssc,g0
2590
2591!-----output parameters:
2592
2593      real rll,tll
2594
2595!-----temporary arrays
2596
2597      real xx,uuu,ttt,emt,up1,um1,st1
2598
2599             xx  = one-ssc*g0
2600             uuu = sqrt( xx/(one-ssc))
2601             ttt = sqrt( xx*(one-ssc)*three )*tau
2602             emt = exp(-ttt)
2603             up1 = uuu + one
2604             um1 = uuu - one
2605             xx  = um1*emt
2606             st1 = one / ((up1+xx) * (up1-xx))
2607             rll = up1*um1*(one-emt*emt)*st1
2608             tll = uuu*four*emt         *st1
2609
2610      end subroutine sagpol
2611
2612!*******************************************************************
2613
2614      subroutine cldflx (m,n,np,ict,icb,overcast,cc,rr,tt,td,rs,ts,&
2615                 fclr,fall,fallu,falld,fsdir,fsdif)
2616
2617!*******************************************************************
2618!  compute upward and downward fluxes using a two-stream adding method
2619!  following equations (3)-(5) of Chou (1992, JAS).
2620!
2621!  clouds are grouped into high, middle, and low clouds which are
2622!  assumed randomly overlapped. It involves eight sets of calculations.
2623!  In each set of calculations, each atmospheric layer is homogeneous,
2624!  either totally filled with clouds or without clouds.
2625
2626!  input parameters:
2627!
2628!     m:   number of soundings in zonal direction
2629!     n:   number of soundings in meridional direction
2630!     np:  number of atmospheric layers
2631!     ict: the level separating high and middle clouds
2632!     icb: the level separating middle and low clouds
2633!     cc:  effective cloud covers for high, middle and low clouds
2634!     tt:  diffuse transmission of a layer illuminated by beam radiation
2635!     td:  direct beam tranmssion
2636!     ts:  transmission of a layer illuminated by diffuse radiation
2637!     rr:  reflection of a layer illuminated by beam radiation
2638!     rs:  reflection of a layer illuminated by diffuse radiation
2639!
2640!  output parameters:
2641!
2642!     fclr:  clear-sky flux (downward minus upward)
2643!     fall:  all-sky flux (downward minus upward)
2644!     fsdir: surface direct downward flux
2645!     fsdif: surface diffuse downward flux
2646!
2647!*********************************************************************c
2648      implicit none
2649!*********************************************************************c
2650
2651!-----input parameters
2652
2653      integer m,n,np
2654      integer ict(m,n),icb(m,n)
2655
2656      real rr(m,n,np+1,2),tt(m,n,np+1,2),td(m,n,np+1,2)
2657      real rs(m,n,np+1,2),ts(m,n,np+1,2)
2658      real cc(m,n,3)
2659      logical overcast
2660
2661!-----temporary array
2662
2663      integer i,j,k,ih,im,is,itm
2664      real rra(m,n,np+1,2,2),tta(m,n,np+1,2,2),tda(m,n,np+1,2,2)
2665      real rsa(m,n,np+1,2,2),rxa(m,n,np+1,2,2)
2666      real ch(m,n),cm(m,n),ct(m,n),flxdn(m,n,np+1)
2667      real flxdnu(m,n,np+1),flxdnd(m,n,np+1)
2668      real fdndir(m,n),fdndif(m,n),fupdif
2669      real denm,xx
2670
2671!-----output parameters
2672
2673      real fclr(m,n,np+1),fall(m,n,np+1)
2674      real fallu(m,n,np+1),falld(m,n,np+1)
2675      real fsdir(m,n),fsdif(m,n)
2676
2677!-----initialize all-sky flux (fall) and surface downward fluxes
2678
2679      do k=1,np+1
2680       do j=1,n
2681        do i=1,m
2682           fclr(i,j,k)=0.0
2683           fall(i,j,k)=0.0
2684           fallu(i,j,k)=0.0
2685           falld(i,j,k)=0.0
2686        enddo
2687       enddo
2688      enddo
2689
2690       do j=1,n
2691        do i=1,m
2692           fsdir(i,j)=0.0
2693           fsdif(i,j)=0.0
2694        enddo
2695       enddo
2696
2697!-----compute transmittances and reflectances for a composite of
2698!     layers. layers are added one at a time, going down from the top.
2699!     tda is the composite transmittance illuminated by beam radiation
2700!     tta is the composite diffuse transmittance illuminated by
2701!         beam radiation
2702!     rsa is the composite reflectance illuminated from below
2703!         by diffuse radiation
2704!     tta and rsa are computed from eqs. (4b) and (3b) of Chou
2705
2706      itm=1
2707
2708!-----if overcas.=.true., set itm=2, and only one set of fluxes is computed
2709
2710      if (overcast) itm=2
2711
2712!-----for high clouds. indices 1 and 2 denote clear and cloudy
2713!     situations, respectively.
2714
2715      do 10 ih=itm,2
2716
2717       do j= 1, n
2718        do i= 1, m
2719          tda(i,j,1,ih,1)=td(i,j,1,ih)
2720          tta(i,j,1,ih,1)=tt(i,j,1,ih)
2721          rsa(i,j,1,ih,1)=rs(i,j,1,ih)
2722          tda(i,j,1,ih,2)=td(i,j,1,ih)
2723          tta(i,j,1,ih,2)=tt(i,j,1,ih)
2724          rsa(i,j,1,ih,2)=rs(i,j,1,ih)
2725        enddo
2726       enddo
2727
2728       do j= 1, n
2729        do i= 1, m
2730         do k= 2, ict(i,j)-1
2731          denm = ts(i,j,k,ih)/( 1.-rsa(i,j,k-1,ih,1)*rs(i,j,k,ih))
2732          tda(i,j,k,ih,1)= tda(i,j,k-1,ih,1)*td(i,j,k,ih)
2733          tta(i,j,k,ih,1)= tda(i,j,k-1,ih,1)*tt(i,j,k,ih) &
2734                        +(tda(i,j,k-1,ih,1)*rr(i,j,k,ih)  &
2735                        *rsa(i,j,k-1,ih,1)+tta(i,j,k-1,ih,1))*denm
2736          rsa(i,j,k,ih,1)= rs(i,j,k,ih)+ts(i,j,k,ih) &
2737                        *rsa(i,j,k-1,ih,1)*denm
2738          tda(i,j,k,ih,2)= tda(i,j,k,ih,1)
2739          tta(i,j,k,ih,2)= tta(i,j,k,ih,1)
2740          rsa(i,j,k,ih,2)= rsa(i,j,k,ih,1)
2741         enddo
2742        enddo
2743       enddo
2744
2745!-----for middle clouds
2746
2747      do 10 im=itm,2
2748
2749      do j= 1, n
2750       do i= 1, m
2751        do k= ict(i,j), icb(i,j)-1
2752          denm = ts(i,j,k,im)/( 1.-rsa(i,j,k-1,ih,im)*rs(i,j,k,im))
2753          tda(i,j,k,ih,im)= tda(i,j,k-1,ih,im)*td(i,j,k,im)
2754          tta(i,j,k,ih,im)= tda(i,j,k-1,ih,im)*tt(i,j,k,im) &
2755                        +(tda(i,j,k-1,ih,im)*rr(i,j,k,im)   &
2756                        *rsa(i,j,k-1,ih,im)+tta(i,j,k-1,ih,im))*denm
2757          rsa(i,j,k,ih,im)= rs(i,j,k,im)+ts(i,j,k,im)  &
2758                        *rsa(i,j,k-1,ih,im)*denm
2759         enddo
2760        enddo
2761       enddo
2762
2763  10  continue
2764
2765!-----layers are added one at a time, going up from the surface.
2766!     rra is the composite reflectance illuminated by beam radiation
2767!     rxa is the composite reflectance illuminated from above
2768!         by diffuse radiation
2769!     rra and rxa are computed from eqs. (4a) and (3a) of Chou
2770 
2771!-----for the low clouds
2772
2773      do 20 is=itm,2
2774
2775       do j= 1, n
2776        do i= 1, m
2777         rra(i,j,np+1,1,is)=rr(i,j,np+1,is)
2778         rxa(i,j,np+1,1,is)=rs(i,j,np+1,is)
2779         rra(i,j,np+1,2,is)=rr(i,j,np+1,is)
2780         rxa(i,j,np+1,2,is)=rs(i,j,np+1,is)
2781        enddo
2782       enddo
2783
2784       do j= 1, n
2785        do i= 1, m
2786         do k=np,icb(i,j),-1
2787          denm=ts(i,j,k,is)/( 1.-rs(i,j,k,is)*rxa(i,j,k+1,1,is) )
2788          rra(i,j,k,1,is)=rr(i,j,k,is)+(td(i,j,k,is) &
2789              *rra(i,j,k+1,1,is)+tt(i,j,k,is)*rxa(i,j,k+1,1,is))*denm
2790          rxa(i,j,k,1,is)= rs(i,j,k,is)+ts(i,j,k,is) &
2791              *rxa(i,j,k+1,1,is)*denm
2792          rra(i,j,k,2,is)=rra(i,j,k,1,is)
2793          rxa(i,j,k,2,is)=rxa(i,j,k,1,is)
2794         enddo
2795        enddo
2796       enddo
2797
2798!-----for middle clouds
2799
2800      do 20 im=itm,2
2801
2802       do j= 1, n
2803        do i= 1, m
2804         do k= icb(i,j)-1,ict(i,j),-1
2805          denm=ts(i,j,k,im)/( 1.-rs(i,j,k,im)*rxa(i,j,k+1,im,is) )
2806          rra(i,j,k,im,is)= rr(i,j,k,im)+(td(i,j,k,im)  &
2807              *rra(i,j,k+1,im,is)+tt(i,j,k,im)*rxa(i,j,k+1,im,is))*denm
2808          rxa(i,j,k,im,is)= rs(i,j,k,im)+ts(i,j,k,im)   &
2809              *rxa(i,j,k+1,im,is)*denm
2810         enddo
2811        enddo
2812       enddo
2813
2814  20  continue
2815
2816!-----integration over eight sky situations.
2817!     ih, im, is denotes high, middle and low cloud groups.
2818
2819      do 100 ih=itm,2
2820
2821!-----clear portion
2822
2823         if(ih.eq.1) then
2824           do j=1,n
2825            do i=1,m
2826             ch(i,j)=1.0-cc(i,j,1)
2827            enddo
2828           enddo
2829
2830          else
2831
2832!-----cloudy portion
2833
2834           do j=1,n
2835            do i=1,m
2836             ch(i,j)=cc(i,j,1)
2837            enddo
2838           enddo
2839
2840          endif
2841
2842      do 100 im=itm,2
2843
2844!-----clear portion
2845
2846         if(im.eq.1) then
2847
2848           do j=1,n
2849            do i=1,m
2850              cm(i,j)=ch(i,j)*(1.0-cc(i,j,2))
2851            enddo
2852           enddo
2853
2854         else
2855
2856!-----cloudy portion
2857
2858           do j=1,n
2859            do i=1,m
2860              cm(i,j)=ch(i,j)*cc(i,j,2)
2861            enddo
2862           enddo
2863
2864         endif
2865
2866      do 100 is=itm,2
2867
2868!-----clear portion
2869
2870         if(is.eq.1) then
2871
2872           do j=1,n
2873            do i=1,m
2874             ct(i,j)=cm(i,j)*(1.0-cc(i,j,3))
2875            enddo
2876           enddo
2877
2878         else
2879
2880!-----cloudy portion
2881
2882           do j=1,n
2883            do i=1,m
2884             ct(i,j)=cm(i,j)*cc(i,j,3)
2885            enddo
2886           enddo
2887
2888         endif
2889
2890!-----add one layer at a time, going down.
2891
2892       do j= 1, n
2893        do i= 1, m
2894         do k= icb(i,j), np
2895          denm = ts(i,j,k,is)/( 1.-rsa(i,j,k-1,ih,im)*rs(i,j,k,is) )
2896          tda(i,j,k,ih,im)= tda(i,j,k-1,ih,im)*td(i,j,k,is)
2897          tta(i,j,k,ih,im)=  tda(i,j,k-1,ih,im)*tt(i,j,k,is) &
2898               +(tda(i,j,k-1,ih,im)*rr(i,j,k,is) &
2899               *rsa(i,j,k-1,ih,im)+tta(i,j,k-1,ih,im))*denm
2900          rsa(i,j,k,ih,im)= rs(i,j,k,is)+ts(i,j,k,is) &
2901               *rsa(i,j,k-1,ih,im)*denm
2902         enddo
2903        enddo
2904       enddo
2905
2906!-----add one layer at a time, going up.
2907
2908       do j= 1, n
2909        do i= 1, m
2910         do k= ict(i,j)-1,1,-1
2911          denm =ts(i,j,k,ih)/(1.-rs(i,j,k,ih)*rxa(i,j,k+1,im,is))
2912          rra(i,j,k,im,is)= rr(i,j,k,ih)+(td(i,j,k,ih)  &
2913              *rra(i,j,k+1,im,is)+tt(i,j,k,ih)*rxa(i,j,k+1,im,is))*denm
2914          rxa(i,j,k,im,is)= rs(i,j,k,ih)+ts(i,j,k,ih)   &
2915              *rxa(i,j,k+1,im,is)*denm
2916         enddo
2917        enddo
2918       enddo
2919
2920!-----compute fluxes following eq (5) of Chou (1992)
2921 
2922!     fdndir is the direct  downward flux
2923!     fdndif is the diffuse downward flux
2924!     fupdif is the diffuse upward flux
2925
2926      do k=2,np+1
2927       do j=1, n
2928        do i=1, m
2929         denm= 1./(1.- rxa(i,j,k,im,is)*rsa(i,j,k-1,ih,im))
2930         fdndir(i,j)= tda(i,j,k-1,ih,im)
2931         xx = tda(i,j,k-1,ih,im)*rra(i,j,k,im,is)
2932         fdndif(i,j)= (xx*rsa(i,j,k-1,ih,im)+tta(i,j,k-1,ih,im))*denm
2933         fupdif= (xx+tta(i,j,k-1,ih,im)*rxa(i,j,k,im,is))*denm
2934         flxdn(i,j,k)=fdndir(i,j)+fdndif(i,j)-fupdif
2935         flxdnu(i,j,k)=-fupdif
2936         flxdnd(i,j,k)=fdndir(i,j)+fdndif(i,j)
2937        enddo
2938       enddo
2939      enddo
2940
2941       do j=1, n
2942        do i=1, m
2943         flxdn(i,j,1)=1.0-rra(i,j,1,im,is)
2944         flxdnu(i,j,1)=-rra(i,j,1,im,is)
2945         flxdnd(i,j,1)=1.0
2946        enddo
2947       enddo
2948
2949!-----summation of fluxes over all (eight) sky situations.
2950
2951       do k=1,np+1
2952        do j=1,n
2953         do i=1,m
2954           if(ih.eq.1 .and. im.eq.1 .and. is.eq.1) then
2955             fclr(i,j,k)=flxdn(i,j,k)
2956           endif
2957             fall(i,j,k)=fall(i,j,k)+flxdn(i,j,k)*ct(i,j)
2958             fallu(i,j,k)=fallu(i,j,k)+flxdnu(i,j,k)*ct(i,j)
2959             falld(i,j,k)=falld(i,j,k)+flxdnd(i,j,k)*ct(i,j)
2960         enddo
2961        enddo
2962       enddo
2963
2964        do j=1,n
2965         do i=1,m
2966            fsdir(i,j)=fsdir(i,j)+fdndir(i,j)*ct(i,j)
2967            fsdif(i,j)=fsdif(i,j)+fdndif(i,j)*ct(i,j)
2968         enddo
2969        enddo
2970
2971  100 continue
2972
2973      end subroutine cldflx
2974
2975!*****************************************************************
2976
2977      subroutine flxco2(m,n,np,swc,swh,csm,df)
2978
2979!*****************************************************************
2980
2981!-----compute the reduction of clear-sky downward solar flux
2982!     due to co2 absorption.
2983
2984      implicit none
2985
2986!-----input parameters
2987
2988      integer m,n,np
2989      real csm(m,n),swc(m,n,np+1),swh(m,n,np+1),cah(22,19)
2990
2991!-----output (undated) parameter
2992
2993      real df(m,n,np+1)
2994
2995!-----temporary array
2996
2997      integer i,j,k,ic,iw
2998      real xx,clog,wlog,dc,dw,x1,x2,y2
2999
3000!********************************************************************
3001!-----include co2 look-up table
3002
3003      data ((cah(i,j),i=1,22),j= 1, 5)/ &                                     
3004       0.9923, 0.9922, 0.9921, 0.9920, 0.9916, 0.9910, 0.9899, 0.9882, &     
3005       0.9856, 0.9818, 0.9761, 0.9678, 0.9558, 0.9395, 0.9188, 0.8945, &     
3006       0.8675, 0.8376, 0.8029, 0.7621, 0.7154, 0.6647, 0.9876, 0.9876, &     
3007       0.9875, 0.9873, 0.9870, 0.9864, 0.9854, 0.9837, 0.9811, 0.9773, &     
3008       0.9718, 0.9636, 0.9518, 0.9358, 0.9153, 0.8913, 0.8647, 0.8350, &     
3009       0.8005, 0.7599, 0.7133, 0.6627, 0.9808, 0.9807, 0.9806, 0.9805, &     
3010       0.9802, 0.9796, 0.9786, 0.9769, 0.9744, 0.9707, 0.9653, 0.9573, &     
3011       0.9459, 0.9302, 0.9102, 0.8866, 0.8604, 0.8311, 0.7969, 0.7565, &     
3012       0.7101, 0.6596, 0.9708, 0.9708, 0.9707, 0.9705, 0.9702, 0.9697, &     
3013       0.9687, 0.9671, 0.9647, 0.9612, 0.9560, 0.9483, 0.9372, 0.9221, &     
3014       0.9027, 0.8798, 0.8542, 0.8253, 0.7916, 0.7515, 0.7054, 0.6551, &     
3015       0.9568, 0.9568, 0.9567, 0.9565, 0.9562, 0.9557, 0.9548, 0.9533, &     
3016       0.9510, 0.9477, 0.9428, 0.9355, 0.9250, 0.9106, 0.8921, 0.8700, &     
3017       0.8452, 0.8171, 0.7839, 0.7443, 0.6986, 0.6486/                       
3018 
3019      data ((cah(i,j),i=1,22),j= 6,10)/  &                                   
3020       0.9377, 0.9377, 0.9376, 0.9375, 0.9372, 0.9367, 0.9359, 0.9345, &     
3021       0.9324, 0.9294, 0.9248, 0.9181, 0.9083, 0.8948, 0.8774, 0.8565, &     
3022       0.8328, 0.8055, 0.7731, 0.7342, 0.6890, 0.6395, 0.9126, 0.9126, &     
3023       0.9125, 0.9124, 0.9121, 0.9117, 0.9110, 0.9098, 0.9079, 0.9052, &     
3024       0.9012, 0.8951, 0.8862, 0.8739, 0.8579, 0.8385, 0.8161, 0.7900, &     
3025       0.7585, 0.7205, 0.6760, 0.6270, 0.8809, 0.8809, 0.8808, 0.8807, &     
3026       0.8805, 0.8802, 0.8796, 0.8786, 0.8770, 0.8747, 0.8712, 0.8659, &     
3027       0.8582, 0.8473, 0.8329, 0.8153, 0.7945, 0.7697, 0.7394, 0.7024, &     
3028       0.6588, 0.6105, 0.8427, 0.8427, 0.8427, 0.8426, 0.8424, 0.8422, &     
3029       0.8417, 0.8409, 0.8397, 0.8378, 0.8350, 0.8306, 0.8241, 0.8148, &     
3030       0.8023, 0.7866, 0.7676, 0.7444, 0.7154, 0.6796, 0.6370, 0.5897, &     
3031       0.7990, 0.7990, 0.7990, 0.7989, 0.7988, 0.7987, 0.7983, 0.7978, &     
3032       0.7969, 0.7955, 0.7933, 0.7899, 0.7846, 0.7769, 0.7664, 0.7528, &     
3033       0.7357, 0.7141, 0.6866, 0.6520, 0.6108, 0.5646/                       
3034 
3035      data ((cah(i,j),i=1,22),j=11,15)/  &                                   
3036       0.7515, 0.7515, 0.7515, 0.7515, 0.7514, 0.7513, 0.7511, 0.7507, &     
3037       0.7501, 0.7491, 0.7476, 0.7450, 0.7409, 0.7347, 0.7261, 0.7144, &     
3038       0.6992, 0.6793, 0.6533, 0.6203, 0.5805, 0.5357, 0.7020, 0.7020, &     
3039       0.7020, 0.7019, 0.7019, 0.7018, 0.7017, 0.7015, 0.7011, 0.7005, &     
3040       0.6993, 0.6974, 0.6943, 0.6894, 0.6823, 0.6723, 0.6588, 0.6406, &     
3041       0.6161, 0.5847, 0.5466, 0.5034, 0.6518, 0.6518, 0.6518, 0.6518, &     
3042       0.6518, 0.6517, 0.6517, 0.6515, 0.6513, 0.6508, 0.6500, 0.6485, &     
3043       0.6459, 0.6419, 0.6359, 0.6273, 0.6151, 0.5983, 0.5755, 0.5458, &     
3044       0.5095, 0.4681, 0.6017, 0.6017, 0.6017, 0.6017, 0.6016, 0.6016, &     
3045       0.6016, 0.6015, 0.6013, 0.6009, 0.6002, 0.5989, 0.5967, 0.5932, &     
3046       0.5879, 0.5801, 0.5691, 0.5535, 0.5322, 0.5043, 0.4700, 0.4308, &     
3047       0.5518, 0.5518, 0.5518, 0.5518, 0.5518, 0.5518, 0.5517, 0.5516, &     
3048       0.5514, 0.5511, 0.5505, 0.5493, 0.5473, 0.5441, 0.5393, 0.5322, &     
3049       0.5220, 0.5076, 0.4878, 0.4617, 0.4297, 0.3929/                       
3050 
3051      data ((cah(i,j),i=1,22),j=16,19)/ &                                     
3052       0.5031, 0.5031, 0.5031, 0.5031, 0.5031, 0.5030, 0.5030, 0.5029, &     
3053       0.5028, 0.5025, 0.5019, 0.5008, 0.4990, 0.4960, 0.4916, 0.4850, &     
3054       0.4757, 0.4624, 0.4441, 0.4201, 0.3904, 0.3564, 0.4565, 0.4565, &     
3055       0.4565, 0.4564, 0.4564, 0.4564, 0.4564, 0.4563, 0.4562, 0.4559, &     
3056       0.4553, 0.4544, 0.4527, 0.4500, 0.4460, 0.4400, 0.4315, 0.4194, &     
3057       0.4028, 0.3809, 0.3538, 0.3227, 0.4122, 0.4122, 0.4122, 0.4122, &     
3058       0.4122, 0.4122, 0.4122, 0.4121, 0.4120, 0.4117, 0.4112, 0.4104, &     
3059       0.4089, 0.4065, 0.4029, 0.3976, 0.3900, 0.3792, 0.3643, 0.3447, &     
3060       0.3203, 0.2923, 0.3696, 0.3696, 0.3696, 0.3696, 0.3696, 0.3696, &     
3061       0.3695, 0.3695, 0.3694, 0.3691, 0.3687, 0.3680, 0.3667, 0.3647, &     
3062       0.3615, 0.3570, 0.3504, 0.3409, 0.3279, 0.3106, 0.2892, 0.2642/       
3063
3064!********************************************************************
3065!-----table look-up for the reduction of clear-sky solar
3066!     radiation due to co2. The fraction 0.0343 is the
3067!     extraterrestrial solar flux in the co2 bands.
3068
3069      do k= 2, np+1
3070       do j= 1, n
3071        do i= 1, m
3072          xx=1./.3
3073          clog=log10(swc(i,j,k)*csm(i,j))
3074          wlog=log10(swh(i,j,k)*csm(i,j))
3075          ic=int( (clog+3.15)*xx+1.)
3076          iw=int( (wlog+4.15)*xx+1.)
3077          if(ic.lt.2)ic=2
3078          if(iw.lt.2)iw=2
3079          if(ic.gt.22)ic=22
3080          if(iw.gt.19)iw=19     
3081          dc=clog-float(ic-2)*.3+3.
3082          dw=wlog-float(iw-2)*.3+4.   
3083          x1=cah(1,iw-1)+(cah(1,iw)-cah(1,iw-1))*xx*dw
3084          x2=cah(ic-1,iw-1)+(cah(ic-1,iw)-cah(ic-1,iw-1))*xx*dw
3085          y2=x2+(cah(ic,iw-1)-cah(ic-1,iw-1))*xx*dc
3086          if (x1.lt.y2) x1=y2
3087          df(i,j,k)=df(i,j,k)+0.0343*(x1-y2)
3088        enddo     
3089       enddo     
3090      enddo     
3091
3092      end subroutine flxco2
3093
3094!*****************************************************************
3095
3096      subroutine o3prof (np, pres, ozone, its, ite, kts, kte, p, o3)
3097
3098!*****************************************************************
3099      implicit none
3100!*****************************************************************
3101!
3102      integer iprof,m,np,its,ite,kts,kte
3103      integer i,k,ko,kk
3104      real pres(np),ozone(np)
3105      real p(its:ite,kts:kte),o3(its:ite,kts:kte)
3106 
3107!     Statement function
3108 
3109      real Linear, x1, y1, x2, y2, x
3110      Linear(x1, y1, x2, y2, x) =  &
3111            (y1 * (x2 - x) + y2 * (x - x1)) / (x2 - x1)
3112!
3113      do k = 1,np
3114        pres(k) = alog(pres(k))
3115      enddo
3116      do k = kts,kte
3117        do i = its, ite
3118          p(i,k) = alog(p(i,k))
3119        end do
3120      end do
3121
3122! assume the pressure at model top is greater than pres(1)
3123! if it is not, this part needs to change
3124
3125      do i = its, ite
3126        ko = 1
3127        do k = kts+1, kte
3128          do while (ko .lt. np .and. p(i,k) .gt. pres(ko))
3129            ko = ko + 1
3130          end do
3131          o3(i,k) =  Linear (pres(ko),   ozone(ko),    &
3132                             pres(ko-1), ozone(ko-1),  &
3133                             p(i,k))
3134          ko = ko - 1
3135        end do
3136      end do
3137
3138! calculate top lay O3
3139
3140      do i = its, ite
3141        ko = 1
3142        k = kts
3143        do while (ko .le. np .and. p(i,k) .gt. pres(ko))
3144           ko = ko + 1
3145        end do
3146        IF (ko-1 .le. 1) then
3147           O3(i,k)=ozone(k)
3148        ELSE
3149           O3(i,k)=0.
3150           do kk=ko-2,1,-1
3151              O3(i,k)=O3(i,k)+ozone(kk)*(pres(kk+1)-pres(kk))
3152           enddo
3153           O3(i,k)=O3(i,k)/(pres(ko-1)-pres(1))
3154        ENDIF
3155!       print*,'O3=',i,k,ko,O3(i,k),p(i,k),ko,pres(ko),pres(ko-1)
3156      end do
3157     
3158      end subroutine o3prof
3159
3160!-----------------------------------------
3161    SUBROUTINE gsfc_swinit(cen_lat, allowed_to_read)
3162
3163    REAL, INTENT(IN    )      ::        cen_lat
3164    LOGICAL, INTENT(IN    )   ::       allowed_to_read
3165
3166        center_lat=cen_lat
3167
3168    END SUBROUTINE gsfc_swinit
3169
3170
3171END MODULE module_ra_gsfcsw
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