source: LMDZ5/branches/IPSLCM6.0.11.rc1/libf/phylmd/rrtm/readaerosol_optic_rrtm.F90 @ 2917

Last change on this file since 2917 was 2862, checked in by oboucher, 8 years ago

Correcting diagnostics loadno3 and loadss.

  • Property copyright set to
    Name of program: LMDZ
    Creation date: 1984
    Version: LMDZ5
    License: CeCILL version 2
    Holder: Laboratoire de m\'et\'eorologie dynamique, CNRS, UMR 8539
    See the license file in the root directory
  • Property svn:keywords set to Author Date Id Revi
File size: 16.0 KB
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1! $Id: readaerosol_optic_rrtm.F90 2862 2017-04-23 09:22:26Z fairhead $
2!
3SUBROUTINE readaerosol_optic_rrtm(debut, aerosol_couple, ok_alw,  &
4     new_aod, flag_aerosol, flag_bc_internal_mixture, itap, rjourvrai, &
5     pdtphys, pplay, paprs, t_seri, rhcl, presnivs, &
6     tr_seri, mass_solu_aero, mass_solu_aero_pi, &
7     tau_aero, piz_aero, cg_aero, &
8     tausum_aero, drytausum_aero, tau3d_aero )
9
10  ! This routine will :
11  ! 1) recevie the aerosols(already read and interpolated) corresponding to flag_aerosol
12  ! 2) calculate the optical properties for the aerosols
13  !
14
15  USE dimphy
16  USE aero_mod
17  USE phys_local_var_mod, only: sconcso4,sconcno3,sconcoa,sconcbc,sconcss,sconcdust, &
18       concso4,concno3,concoa,concbc,concss,concdust,loadso4,loadoa,loadbc,loadss,loaddust, &
19       loadno3, load_tmp1,load_tmp2,load_tmp3
20
21  USE infotrac_phy
22  USE YOMCST
23
24  IMPLICIT NONE
25
26  include "clesphys.h"
27
28  ! Input arguments
29  !****************************************************************************************
30  LOGICAL, INTENT(IN)                      :: debut
31  LOGICAL, INTENT(IN)                      :: aerosol_couple
32  LOGICAL, INTENT(IN)                      :: ok_alw
33  LOGICAL, INTENT(IN)                      :: new_aod
34  INTEGER, INTENT(IN)                      :: flag_aerosol
35  LOGICAL, INTENT(IN)                      :: flag_bc_internal_mixture
36  INTEGER, INTENT(IN)                      :: itap
37  REAL, INTENT(IN)                         :: rjourvrai
38  REAL, INTENT(IN)                         :: pdtphys
39  REAL, DIMENSION(klon,klev), INTENT(IN)   :: pplay
40  REAL, DIMENSION(klon,klev+1), INTENT(IN) :: paprs
41  REAL, DIMENSION(klon,klev), INTENT(IN)   :: t_seri
42  REAL, DIMENSION(klon,klev), INTENT(IN)   :: rhcl   ! humidite relative ciel clair
43  REAL, DIMENSION(klev), INTENT(IN)        :: presnivs
44  REAL, DIMENSION(klon,klev,nbtr), INTENT(IN) :: tr_seri ! concentration tracer
45
46  ! Output arguments
47  !****************************************************************************************
48  REAL, DIMENSION(klon,klev), INTENT(OUT)     :: mass_solu_aero    ! Total mass for all soluble aerosols
49  REAL, DIMENSION(klon,klev), INTENT(OUT)     :: mass_solu_aero_pi !     -"-     preindustrial values
50  REAL, DIMENSION(klon,klev,2,NSW), INTENT(OUT) :: tau_aero    ! Aerosol optical thickness
51  REAL, DIMENSION(klon,klev,2,NSW), INTENT(OUT) :: piz_aero    ! Single scattering albedo aerosol
52  REAL, DIMENSION(klon,klev,2,NSW), INTENT(OUT) :: cg_aero     ! asymmetry parameter aerosol
53  REAL, DIMENSION(klon,nwave,naero_tot), INTENT(OUT)       :: tausum_aero
54  REAL, DIMENSION(klon,naero_tot), INTENT(OUT)             :: drytausum_aero
55  REAL, DIMENSION(klon,klev,nwave,naero_tot), INTENT(OUT)  :: tau3d_aero
56
57  ! Local variables
58  !****************************************************************************************
59  REAL, DIMENSION(klon)        :: aerindex      ! POLDER aerosol index
60  REAL, DIMENSION(klon,klev)   :: sulfacc       ! SO4 accumulation concentration [ug/m3]
61  REAL, DIMENSION(klon,klev)   :: sulfcoarse    ! SO4 coarse concentration [ug/m3]
62  REAL, DIMENSION(klon,klev)   :: bcsol         ! BC soluble concentration [ug/m3]
63  REAL, DIMENSION(klon,klev)   :: bcins         ! BC insoluble concentration [ug/m3]
64  REAL, DIMENSION(klon,klev)   :: pomsol        ! POM soluble concentration [ug/m3]
65  REAL, DIMENSION(klon,klev)   :: pomins        ! POM insoluble concentration [ug/m3]
66  REAL, DIMENSION(klon,klev)   :: cidust        ! DUST aerosol concentration  [ug/m3]
67  REAL, DIMENSION(klon,klev)   :: sscoarse      ! SS Coarse concentration [ug/m3]
68  REAL, DIMENSION(klon,klev)   :: sssupco       ! SS Super Coarse concentration [ug/m3]
69  REAL, DIMENSION(klon,klev)   :: ssacu         ! SS Acumulation concentration [ug/m3]
70  REAL, DIMENSION(klon,klev)   :: nitracc       ! nitrate accumulation concentration [ug/m3]
71  REAL, DIMENSION(klon,klev)   :: nitrcoarse    ! nitrate coarse concentration [ug/m3]
72  REAL, DIMENSION(klon,klev)   :: nitrinscoarse ! nitrate insoluble coarse concentration [ug/m3]
73  REAL, DIMENSION(klon,klev)   :: sulfacc_pi
74  REAL, DIMENSION(klon,klev)   :: sulfcoarse_pi
75  REAL, DIMENSION(klon,klev)   :: bcsol_pi
76  REAL, DIMENSION(klon,klev)   :: bcins_pi
77  REAL, DIMENSION(klon,klev)   :: pomsol_pi
78  REAL, DIMENSION(klon,klev)   :: pomins_pi
79  REAL, DIMENSION(klon,klev)   :: cidust_pi
80  REAL, DIMENSION(klon,klev)   :: sscoarse_pi
81  REAL, DIMENSION(klon,klev)   :: sssupco_pi
82  REAL, DIMENSION(klon,klev)   :: ssacu_pi
83  REAL, DIMENSION(klon,klev)   :: nitracc_pi
84  REAL, DIMENSION(klon,klev)   :: nitrcoarse_pi
85  REAL, DIMENSION(klon,klev)   :: nitrinscoarse_pi
86  REAL, DIMENSION(klon,klev)   :: pdel, zrho
87  REAL, DIMENSION(klon,klev,naero_tot) :: m_allaer
88  REAL, DIMENSION(klon,klev,naero_tot) :: m_allaer_pi !RAF 
89
90  integer :: id_ASBCM, id_ASPOMM, id_ASSO4M, id_ASMSAM, id_CSSO4M, id_CSMSAM, id_SSSSM
91  integer :: id_CSSSM, id_ASSSM, id_CIDUSTM, id_AIBCM, id_AIPOMM, id_ASNO3M, id_CSNO3M, id_CINO3M
92  INTEGER :: k, i
93
94  !--air density
95  zrho(:,:)=pplay(:,:)/t_seri(:,:)/RD                     !--kg/m3
96
97  !****************************************************************************************
98  ! 1) Get aerosol mass
99  !   
100  !****************************************************************************************
101  !
102  !
103  IF (aerosol_couple) THEN   !--we get aerosols from tr_seri array from INCA
104     !
105     !--copy fields from INCA tr_seri
106     !--convert to ug m-3 unit for consistency with offline fields
107     !
108     DO i=1,nbtr
109        SELECT CASE(trim(solsym(i)))
110           CASE ("ASBCM")
111              id_ASBCM = i
112           CASE ("ASPOMM")
113              id_ASPOMM = i
114           CASE ("ASSO4M")
115              id_ASSO4M = i
116           CASE ("ASMSAM")
117              id_ASMSAM = i
118           CASE ("CSSO4M")
119              id_CSSO4M = i
120           CASE ("CSMSAM")
121              id_CSMSAM = i
122           CASE ("SSSSM")
123              id_SSSSM = i
124           CASE ("CSSSM")
125              id_CSSSM = i
126           CASE ("ASSSM")
127              id_ASSSM = i
128           CASE ("CIDUSTM")
129              id_CIDUSTM = i
130           CASE ("AIBCM")
131              id_AIBCM = i
132           CASE ("AIPOMM")
133              id_AIPOMM = i
134           CASE ("ASNO3M")
135              id_ASNO3M = i
136           CASE ("CSNO3M")
137              id_CSNO3M = i
138           CASE ("CINO3M")
139              id_CINO3M = i
140           END SELECT
141     ENDDO
142
143     bcsol(:,:)        =   tr_seri(:,:,id_ASBCM)                         *zrho(:,:)*1.e9  ! ASBCM
144     pomsol(:,:)       =   tr_seri(:,:,id_ASPOMM)                        *zrho(:,:)*1.e9  ! ASPOMM
145     sulfacc(:,:)      =  (tr_seri(:,:,id_ASSO4M)+tr_seri(:,:,id_ASMSAM))*zrho(:,:)*1.e9  ! ASSO4M (=SO4) + ASMSAM (=MSA)
146     sulfcoarse(:,:)   =  (tr_seri(:,:,id_CSSO4M)+tr_seri(:,:,id_CSMSAM))*zrho(:,:)*1.e9  ! CSSO4M (=SO4) + CSMSAM (=MSA)
147     sssupco(:,:)      =   tr_seri(:,:,id_SSSSM)                         *zrho(:,:)*1.e9  ! SSSSM
148     sscoarse(:,:)     =   tr_seri(:,:,id_CSSSM)                         *zrho(:,:)*1.e9  ! CSSSM
149     ssacu(:,:)        =   tr_seri(:,:,id_ASSSM)                         *zrho(:,:)*1.e9  ! ASSSM
150     cidust(:,:)       =   tr_seri(:,:,id_CIDUSTM)                       *zrho(:,:)*1.e9  ! CIDUSTM
151     bcins(:,:)        =   tr_seri(:,:,id_AIBCM)                         *zrho(:,:)*1.e9  ! AIBCM
152     pomins(:,:)       =   tr_seri(:,:,id_AIPOMM)                        *zrho(:,:)*1.e9  ! AIPOMM
153     nitracc(:,:)      =   tr_seri(:,:,id_ASNO3M)                        *zrho(:,:)*1.e9  ! ASNO3M
154     nitrcoarse(:,:)   =   tr_seri(:,:,id_CSNO3M)                        *zrho(:,:)*1.e9  ! CSNO3M
155     nitrinscoarse(:,:)=   tr_seri(:,:,id_CINO3M)                        *zrho(:,:)*1.e9  ! CINO3M
156     !
157     bcsol_pi(:,:)        =   0.0 ! ASBCM pre-ind
158     pomsol_pi(:,:)       =   0.0 ! ASPOMM pre-ind
159     sulfacc_pi(:,:)      =   0.0 ! ASSO4M (=SO4) + ASMSAM (=MSA) pre-ind
160     sulfcoarse_pi(:,:)   =   0.0 ! CSSO4M (=SO4) + CSMSAM (=MSA) pre-ind
161     sssupco_pi(:,:)      =   0.0 ! SSSSM pre-ind
162     sscoarse_pi(:,:)     =   0.0 ! CSSSM pre-ind
163     ssacu_pi(:,:)        =   0.0 ! ASSSM pre-ind
164     cidust_pi(:,:)       =   0.0 ! CIDUSTM pre-ind
165     bcins_pi(:,:)        =   0.0 ! AIBCM pre-ind
166     pomins_pi(:,:)       =   0.0 ! AIPOMM pre-ind
167     nitracc_pi(:,:)      =   0.0 ! ASNO3M pre-ind
168     nitrcoarse_pi(:,:)   =   0.0 ! CSNO3M pre-ind
169     nitrinscoarse_pi(:,:)=   0.0 ! CINO3M
170     !
171  ELSE !--not aerosol_couple
172     !
173     ! Read and interpolate sulfate
174     IF ( flag_aerosol .EQ. 1 .OR. flag_aerosol .EQ. 6 ) THEN
175
176        CALL readaerosol_interp(id_ASSO4M_phy, itap, pdtphys, rjourvrai, debut, pplay, paprs, t_seri, sulfacc, sulfacc_pi,loadso4)
177     ELSE
178        sulfacc(:,:) = 0. ; sulfacc_pi(:,:) = 0.
179        loadso4=0.
180     ENDIF
181
182     ! Read and interpolate bcsol and bcins
183     IF ( flag_aerosol .EQ. 2 .OR. flag_aerosol .EQ. 6 ) THEN
184
185        ! Get bc aerosol distribution
186        CALL readaerosol_interp(id_ASBCM_phy, itap, pdtphys, rjourvrai, debut, pplay, paprs, t_seri, bcsol, bcsol_pi, load_tmp1 )
187        CALL readaerosol_interp(id_AIBCM_phy, itap, pdtphys, rjourvrai, debut, pplay, paprs, t_seri, bcins, bcins_pi, load_tmp2 )
188        loadbc(:)=load_tmp1(:)+load_tmp2(:)
189     ELSE
190        bcsol(:,:) = 0. ; bcsol_pi(:,:) = 0.
191        bcins(:,:) = 0. ; bcins_pi(:,:) = 0.
192        loadbc=0.
193     ENDIF
194
195     ! Read and interpolate pomsol and pomins
196     IF ( flag_aerosol .EQ. 3 .OR. flag_aerosol .EQ. 6 ) THEN
197
198        CALL readaerosol_interp(id_ASPOMM_phy, itap, pdtphys, rjourvrai, debut, pplay, paprs, t_seri, pomsol, pomsol_pi, load_tmp1)
199        CALL readaerosol_interp(id_AIPOMM_phy, itap, pdtphys, rjourvrai, debut, pplay, paprs, t_seri, pomins, pomins_pi, load_tmp2)
200        loadoa(:)=load_tmp1(:)+load_tmp2(:)
201     ELSE
202        pomsol(:,:) = 0. ; pomsol_pi(:,:) = 0.
203        pomins(:,:) = 0. ; pomins_pi(:,:) = 0.
204        loadoa=0.
205     ENDIF
206
207     ! Read and interpolate csssm, ssssm, assssm
208     IF (flag_aerosol .EQ. 4 .OR. flag_aerosol .EQ. 6 ) THEN
209
210        CALL readaerosol_interp(id_SSSSM_phy ,itap, pdtphys,rjourvrai, &
211        debut, pplay, paprs, t_seri, sssupco, sssupco_pi, load_tmp1)
212        CALL readaerosol_interp(id_CSSSM_phy ,itap, pdtphys,rjourvrai, &
213        debut, pplay, paprs, t_seri, sscoarse,sscoarse_pi, load_tmp2)
214        CALL readaerosol_interp(id_ASSSM_phy ,itap, pdtphys,rjourvrai, &
215        debut, pplay, paprs, t_seri, ssacu, ssacu_pi, load_tmp3)
216        loadss(:)=load_tmp1(:)+load_tmp2(:)+load_tmp3(:)
217     ELSE
218        sscoarse(:,:) = 0. ; sscoarse_pi(:,:) = 0.
219        ssacu(:,:)    = 0. ; ssacu_pi(:,:) = 0.
220        sssupco(:,:)  = 0. ; sssupco_pi = 0.
221        loadss=0.
222     ENDIF
223
224     ! Read and interpolate cidustm
225     IF (flag_aerosol .EQ. 5 .OR. flag_aerosol .EQ. 6 ) THEN
226
227        CALL readaerosol_interp(id_CIDUSTM_phy, itap, pdtphys, rjourvrai, debut, pplay, paprs, t_seri, cidust, cidust_pi, loaddust)
228
229     ELSE
230        cidust(:,:) = 0. ; cidust_pi(:,:) = 0.
231        loaddust=0.
232     ENDIF
233     !
234     ! Read and interpolate asno3m, csno3m, cino3m
235     IF (flag_aerosol .EQ. 6) THEN
236
237        CALL readaerosol_interp(id_ASNO3M_phy, itap, pdtphys, rjourvrai, &
238        debut, pplay, paprs, t_seri, nitracc, nitracc_pi, load_tmp1)
239        CALL readaerosol_interp(id_CSNO3M_phy, itap, pdtphys, rjourvrai, &
240        debut, pplay, paprs, t_seri, nitrcoarse, nitrcoarse_pi, load_tmp2)
241        CALL readaerosol_interp(id_CINO3M_phy, itap, pdtphys, rjourvrai, &
242        debut, pplay, paprs, t_seri, nitrinscoarse, nitrinscoarse_pi, load_tmp3)
243        loadno3(:)=load_tmp1(:)+load_tmp2(:)+load_tmp3(:)
244
245     ELSE
246        nitracc(:,:)         =   0.0 ; nitracc_pi(:,:)      =   0.0
247        nitrcoarse(:,:)      =   0.0 ; nitrcoarse_pi(:,:)   =   0.0
248        nitrinscoarse(:,:)   =   0.0 ; nitrinscoarse_pi(:,:)=   0.0
249        loadno3(:)=0.0
250     ENDIF
251     !
252     ! CSSO4M is set to 0 as not reliable
253     sulfcoarse(:,:)      =   0.0 ! CSSO4M (=SO4) + CSMSAM (=MSA)
254     sulfcoarse_pi(:,:)   =   0.0 ! CSSO4M (=SO4) + CSMSAM (=MSA) pre-ind
255
256  ENDIF !--not aerosol_couple
257
258  !
259  ! Store all aerosols in one variable
260  !
261  m_allaer(:,:,id_ASBCM_phy)  = bcsol(:,:)        ! ASBCM
262  m_allaer(:,:,id_ASPOMM_phy) = pomsol(:,:)       ! ASPOMM
263  m_allaer(:,:,id_ASSO4M_phy) = sulfacc(:,:)      ! ASSO4M (= SO4)
264  m_allaer(:,:,id_CSSO4M_phy) = sulfcoarse(:,:)   ! CSSO4M
265  m_allaer(:,:,id_SSSSM_phy)  = sssupco(:,:)      ! SSSSM
266  m_allaer(:,:,id_CSSSM_phy)  = sscoarse(:,:)     ! CSSSM
267  m_allaer(:,:,id_ASSSM_phy)  = ssacu(:,:)        ! ASSSM
268  m_allaer(:,:,id_CIDUSTM_phy)= cidust(:,:)       ! CIDUSTM
269  m_allaer(:,:,id_AIBCM_phy)  = bcins(:,:)        ! AIBCM
270  m_allaer(:,:,id_ASNO3M_phy) = nitracc(:,:)      ! ASNO3M
271  m_allaer(:,:,id_CSNO3M_phy) = nitrcoarse(:,:)   ! CSNO3M
272  m_allaer(:,:,id_CINO3M_phy) = nitrinscoarse(:,:)! CINO3M
273  m_allaer(:,:,id_AIPOMM_phy) = pomins(:,:)       ! AIPOMM
274  m_allaer(:,:,id_STRAT_phy)  = 0.0
275
276  !RAF
277  m_allaer_pi(:,:,id_ASBCM_phy)  = bcsol_pi(:,:)        ! ASBCM pre-ind
278  m_allaer_pi(:,:,id_ASPOMM_phy) = pomsol_pi(:,:)       ! ASPOMM pre-ind
279  m_allaer_pi(:,:,id_ASSO4M_phy) = sulfacc_pi(:,:)      ! ASSO4M (= SO4) pre-ind
280  m_allaer_pi(:,:,id_CSSO4M_phy) = sulfcoarse_pi(:,:)   ! CSSO4M pre-ind
281  m_allaer_pi(:,:,id_SSSSM_phy)  = sssupco_pi(:,:)      ! SSSSM pre-ind
282  m_allaer_pi(:,:,id_CSSSM_phy)  = sscoarse_pi(:,:)     ! CSSSM pre-ind
283  m_allaer_pi(:,:,id_ASSSM_phy)  = ssacu_pi(:,:)        ! ASSSM pre-ind
284  m_allaer_pi(:,:,id_CIDUSTM_phy)= cidust_pi(:,:)       ! CIDUSTM pre-ind
285  m_allaer_pi(:,:,id_AIBCM_phy)  = bcins_pi(:,:)        ! AIBCM pre-ind
286  m_allaer_pi(:,:,id_ASNO3M_phy) = nitracc_pi(:,:)      ! ASNO3M pre-ind
287  m_allaer_pi(:,:,id_CSNO3M_phy) = nitrcoarse_pi(:,:)   ! CSNO3M pre-ind
288  m_allaer_pi(:,:,id_CINO3M_phy) = nitrinscoarse_pi(:,:)! CINO3M pre-ind
289  m_allaer_pi(:,:,id_AIPOMM_phy) = pomins_pi(:,:)       ! AIPOMM pre-ind
290  m_allaer_pi(:,:,id_STRAT_phy)  = 0.0
291
292  !
293  ! Calculate the total mass of all soluble aersosols
294  ! to be revisited for AR6
295  mass_solu_aero(:,:)    = sulfacc(:,:)    + bcsol(:,:)    + pomsol(:,:)    + nitracc(:,:)    + ssacu(:,:)
296  mass_solu_aero_pi(:,:) = sulfacc_pi(:,:) + bcsol_pi(:,:) + pomsol_pi(:,:) + nitracc_pi(:,:) + ssacu_pi(:,:)
297
298  !****************************************************************************************
299  ! 2) Calculate optical properties for the aerosols
300  !
301  !****************************************************************************************
302  DO k = 1, klev
303     DO i = 1, klon
304        pdel(i,k) = paprs(i,k) - paprs (i,k+1)
305     ENDDO
306  ENDDO
307
308!--new aerosol properties
309  ! aeropt_6bands for rrtm
310  CALL aeropt_6bands_rrtm(          &
311       pdel, m_allaer, rhcl,        &
312       tau_aero, piz_aero, cg_aero, &
313       m_allaer_pi, flag_aerosol,   &
314       flag_bc_internal_mixture, zrho )
315
316  ! aeropt_5wv only for validation and diagnostics
317  CALL aeropt_5wv_rrtm(              &
318       pdel, m_allaer,               &
319       rhcl, aerindex,               &
320       flag_aerosol,                 &
321       flag_bc_internal_mixture,     &
322       pplay, t_seri,                &
323       tausum_aero, drytausum_aero, tau3d_aero )
324
325  !--call LW optical properties for tropospheric aerosols
326  CALL aeropt_lw_rrtm(ok_alw, pdel, zrho, flag_aerosol, m_allaer, m_allaer_pi)
327
328  ! Diagnostics calculation for CMIP5 protocol
329  sconcso4(:)  =m_allaer(:,1,id_ASSO4M_phy)*1.e-9
330  sconcno3(:)  =(m_allaer(:,1,id_ASNO3M_phy)+m_allaer(:,1,id_CSNO3M_phy)+m_allaer(:,1,id_CINO3M_phy))*1.e-9
331  sconcoa(:)   =(m_allaer(:,1,id_ASPOMM_phy)+m_allaer(:,1,id_AIPOMM_phy))*1.e-9
332  sconcbc(:)   =(m_allaer(:,1,id_ASBCM_phy)+m_allaer(:,1,id_AIBCM_phy))*1.e-9
333  sconcss(:)   =(m_allaer(:,1,id_ASSSM_phy)+m_allaer(:,1,id_CSSSM_phy)+m_allaer(:,1,id_SSSSM_phy))*1.e-9
334  sconcdust(:) =m_allaer(:,1,id_CIDUSTM_phy)*1.e-9
335  concso4(:,:) =m_allaer(:,:,id_ASSO4M_phy)*1.e-9
336  concno3(:,:) =(m_allaer(:,:,id_ASNO3M_phy)+m_allaer(:,:,id_CSNO3M_phy)+m_allaer(:,:,id_CINO3M_phy))*1.e-9
337  concoa(:,:)  =(m_allaer(:,:,id_ASPOMM_phy)+m_allaer(:,:,id_AIPOMM_phy))*1.e-9
338  concbc(:,:)  =(m_allaer(:,:,id_ASBCM_phy)+m_allaer(:,:,id_AIBCM_phy))*1.e-9
339  concss(:,:)  =(m_allaer(:,:,id_ASSSM_phy)+m_allaer(:,:,id_CSSSM_phy)+m_allaer(:,:,id_SSSSM_phy))*1.e-9
340  concdust(:,:)=m_allaer(:,:,id_CIDUSTM_phy)*1.e-9
341
342END SUBROUTINE readaerosol_optic_rrtm
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