source: trunk/LMDZ.MARS/libf/phymars/topmons_mod.F90 @ 2740

Last change on this file since 2740 was 2685, checked in by emillour, 2 years ago

Mars GCM:
Add possibility to output either upward or downward SW flux at the surface
and top of atmosphere from physiq. Required adding some output arguments
to callradite.
EM

File size: 53.3 KB
Line 
1      MODULE topmons_mod
2
3      IMPLICIT NONE
4
5      CONTAINS
6
7!=======================================================================
8! ENTRAINMENT OF DUST ABOVE THE SUB-GRID SCALE TOPOGRAPHY
9!=======================================================================
10! calculation of the vertical wind velocity of topdust tracers
11! transport scheme of topdust tracers
12! detrainement of topdust into background dust
13! -----------------------------------------------------------------------
14! Authors: M. Vals; C. Wang; T. Bertrand; F. Forget
15! Institution: Laboratoire de Meteorologie Dynamique (LMD) Paris, France
16! -----------------------------------------------------------------------
17
18      SUBROUTINE topmons(ngrid,nlayer,nq,ptime,ptimestep,              &
19                                 pq,pdq,pt,pdt,pplev,pplay,pzlev,      &
20                                 pzlay,pdtsw,pdtlw,                    &
21!             input for radiative transfer
22                                 icount,zday,zls,tsurf,igout,aerosol,  &
23                                 tauscaling,dust_rad_adjust,           &
24                                 IRtoVIScoef,                          &
25!             input sub-grid scale rocket dust storm
26                                 totstormfract,clearatm,               &
27!             input sub-grid scale cloud
28                                 clearsky,totcloudfrac,                &
29!             input sub-grid scale mountain
30                                 nohmons,                              &
31!             output
32                                 pdqtop,wfin,dsodust,dsords,dsotop,    &
33                                 tau_pref_scenario,tau_pref_gcm)
34
35      USE tracer_mod, only: igcm_topdust_mass,igcm_topdust_number &
36                            ,igcm_dust_mass,igcm_dust_number      &
37                            ,rho_dust
38      USE comcstfi_h, only: r,g,cpp,rcp
39      USE dimradmars_mod, only: albedo,naerkind
40      USE comsaison_h, only: dist_sol,mu0,fract
41      USE surfdat_h, only: emis,co2ice,hmons,summit,alpha_hmons, &
42                           hsummit,contains_mons
43      USE callradite_mod, only: callradite
44
45      IMPLICIT NONE
46
47!--------------------------------------------------------
48! Input Variables
49!--------------------------------------------------------
50
51      INTEGER, INTENT(IN) :: ngrid ! number of horizontal grid points
52      INTEGER, INTENT(IN) :: nlayer ! number of vertical grid points
53      INTEGER, INTENT(IN) :: nq ! number of tracer species
54      REAL, INTENT(IN) :: ptime
55      REAL, INTENT(IN) :: ptimestep
56
57      REAL, INTENT(IN) :: pq(ngrid,nlayer,nq) ! advected field nq
58      REAL, INTENT(IN) :: pdq(ngrid,nlayer,nq)! tendancy field pq
59      REAL, INTENT(IN) :: pt(ngrid,nlayer)    ! temperature at mid-layer (K)
60      REAL, INTENT(IN) :: pdt(ngrid,nlayer)   ! tendancy temperature at mid-layer (K)
61
62      REAL, INTENT(IN) :: pplay(ngrid,nlayer)     ! pressure at middle of the layers
63      REAL, INTENT(IN) :: pplev(ngrid,nlayer+1)   ! pressure at intermediate levels
64      REAL, INTENT(IN) :: pzlay(ngrid,nlayer)     ! altitude at the middle of the layers
65      REAL, INTENT(IN) :: pzlev(ngrid,nlayer+1)   ! altitude at layer boundaries
66
67      REAL, INTENT(IN) :: pdtsw(ngrid,nlayer)     ! (K/s) env
68      REAL, INTENT(IN) :: pdtlw(ngrid,nlayer)     ! (K/s) env
69
70!     input for second radiative transfer
71      INTEGER, INTENT(INOUT) :: icount
72      REAL, INTENT(IN) :: zday
73      REAL, INTENT(IN) :: zls
74      REAL, INTENT(IN) :: tsurf(ngrid)
75      INTEGER, INTENT(IN) :: igout
76      REAL, INTENT(INOUT) :: tauscaling(ngrid)
77      REAL,INTENT(INOUT) :: dust_rad_adjust(ngrid)
78      REAL,INTENT(INOUT) :: IRtoVIScoef(ngrid) ! NB: not modified by this call to callradite,
79                                               ! the OUT is just here because callradite needs it
80                                               
81!     input sub-grid scale rocket dust storm
82      LOGICAL, INTENT(IN) :: clearatm
83      REAL, INTENT(IN) :: totstormfract(ngrid)
84!     input sub-grid scale water ice clouds
85      LOGICAL, INTENT(IN) :: clearsky
86      REAL, INTENT(IN) :: totcloudfrac(ngrid)
87!     input sub-grid scale mountain
88      LOGICAL, INTENT(IN) :: nohmons
89
90!--------------------------------------------------------
91! Output Variables
92!--------------------------------------------------------
93
94      REAL, INTENT(OUT) :: pdqtop(ngrid,nlayer,nq)  ! tendancy field for dust
95      REAL, INTENT(OUT) :: wfin(ngrid,nlayer+1)     ! final vertical wind velocity: combination of both wup and wrad
96                                                    ! wfin < 0 means upward wind (in pressure levels/s)
97
98!     output for second radiative transfer
99      REAL, INTENT(OUT) :: aerosol(ngrid,nlayer,naerkind)
100      REAL, INTENT(OUT) :: dsodust(ngrid,nlayer)
101      REAL, INTENT(OUT) :: dsords(ngrid,nlayer)
102      REAL, INTENT(OUT) :: dsotop(ngrid,nlayer)
103      REAL,INTENT(OUT) :: tau_pref_scenario(ngrid) ! prescribed dust column
104                                               ! visible opacity at odpref
105      REAL,INTENT(OUT) :: tau_pref_gcm(ngrid) ! dust column visible opacity at
106                                              ! odpref in the GCM
107
108!--------------------------------------------------------
109! Local variables
110!--------------------------------------------------------
111      LOGICAL,SAVE :: firstcall=.true.
112     
113!$OMP THREADPRIVATE(firstcall)
114     
115      INTEGER l,ig,tsub,iq,ll
116      REAL zq0(ngrid,nlayer,nq)     ! initial tracers
117      REAL zq(ngrid,nlayer,nq)      ! updated tracers
118      REAL,PARAMETER:: mu0lim=0.001 ! solar zenith angle limit to determine the daytime
119
120!     Variables for radiative transfer
121      REAL  fluxsurf_lw1(ngrid)
122      REAL  fluxsurf_dn_sw1(ngrid,2),fluxsurf_up_sw1(ngrid,2)
123      REAL  fluxtop_lw1(ngrid)
124      REAL  fluxtop_dn_sw1(ngrid,2),fluxtop_up_sw1(ngrid,2)
125      REAL  tau(ngrid,naerkind)
126      REAL  taucloudtes(ngrid)
127      REAL  rdust(ngrid,nlayer)
128      REAL  rstormdust(ngrid,nlayer)
129      REAL  rtopdust(ngrid,nlayer)
130      REAL  rice(ngrid,nlayer)
131      REAL  nuice(ngrid,nlayer)
132      DOUBLE PRECISION  riceco2(ngrid,nlayer)
133      REAL  nuiceco2(ngrid,nlayer)
134
135!     Temperature profile
136      REAL zt(ngrid,nlayer)                                  ! actual temperature at mid-layer (K)
137      REAL ztlev(ngrid,nlayer)                               ! temperature at intermediate levels l+1/2 without last level
138      REAL zdtlw1(ngrid,nlayer)                              ! (K/s) topdust
139      REAL zdtsw1(ngrid,nlayer)                              ! (K/s) topdust
140      REAL zdtlw1_lev(ngrid,nlayer),zdtsw1_lev(ngrid,nlayer) ! rad. heating rate at intermediate levels l+1/2
141      REAL zdtlw_lev(ngrid,nlayer),zdtsw_lev(ngrid,nlayer)   ! rad. heating rate at intermediate levels l+1/2
142      REAL zdtvert(ngrid,nlayer)                             ! dT/dz , lapse rate
143      REAL deltahr(ngrid,nlayer+1)                           ! extra heating between the concentrated and non-concentrated dust
144
145      REAL newzt(ngrid,nlayer)    ! recalculated temperature with extra radiative heating
146      REAL t_top(ngrid,nlayer)    ! estimated temperature above the mountain
147      REAL t_top_lev(ngrid,nlayer)! estimated temperature above the mountain at the levels
148      REAL dt_top(ngrid)          ! temperature difference between the summit and the environment
149      INTEGER lmons(ngrid)        ! layer of the mountain's slope
150      INTEGER lsummit(ngrid)      ! layer of the mountain's summit
151      REAL t_env(ngrid,nlayer)    ! recalculated temperature of the environment air "next" to the mountain
152
153!     Vertical velocity profile
154      REAL wrad(ngrid,nlayer+1)  ! vertical wind velocity resulting from radiative heating
155      REAL wup(ngrid,nlayer+1)   ! vertical wind velocity calculated above the sub-grid scale mountain
156      REAL wup2(ngrid,nlayer+1)  ! square of the vertical velocity calculated above the sub-grid scale mountain
157      REAL w0(ngrid)             ! vertical wind velocity convergence at the top of the sub-grid scale mountain
158      INTEGER lwmax(ngrid)       ! level of the maximum vertical velocity
159
160      REAL,PARAMETER:: wmax=10.  ! maximum vertical velocity resulting from radiative heating (m/s)
161      REAL,PARAMETER:: secu=3.   ! coefficient on wfin to avoid dust crossing many layers during subtimestep
162      REAL,PARAMETER:: k0=0.25   !max 10m/s: k0=1.      !max 3m/s: k0=0.25
163      REAL,PARAMETER:: k1=5.e-4  !max 10m/s: k1=5.e-4   !max 3m/s: k1=5.e-4
164      REAL,PARAMETER:: k2=5.e-3  !max 10m/s: k2=30.e-3  !max 3m/s: k2=5.e-3
165
166!     Entrainment
167      REAL entr(ngrid)                                             ! entrainment flux
168      REAL rho(ngrid,nlayer),rhobarz(ngrid,nlayer+1)                 ! density, density at the levels
169      REAL masse(ngrid,nlayer)                                     ! air mass
170      REAL masse_pbl(ngrid)                                        ! total air mass within the PBL
171      REAL masse_pbl_dust_mass(ngrid),masse_pbl_dust_number(ngrid) ! total air mass + dust mass/number within the PBL (kg/m2)
172      REAL dqm_mass_pbl(ngrid),dqm_number_pbl(ngrid)               ! total mass of the entrained dust mass/number from the PBL (kg/m2)
173
174!     Van Leer
175      REAL zq_dust_mass(ngrid,nlayer),zq_dust_number(ngrid,nlayer)       ! mixing ratio background dust (kg/kg)
176      REAL zq_topdust_mass(ngrid,nlayer),zq_topdust_number(ngrid,nlayer) ! mixing ratio topdust (kg/kg)
177      REAL mr_dust_mass(ngrid,nlayer),mr_dust_number(ngrid,nlayer)       ! mixing ratio background dust (kg/kg)
178      REAL mr_topdust_mass(ngrid,nlayer),mr_topdust_number(ngrid,nlayer) ! mixing ratio background dust + concentrated topdust (kg/kg)
179
180      REAL w(ngrid,nlayer)          ! vertical flux above the sub-grid scale mountain
181      REAL wqmass(ngrid,nlayer+1)   ! flux mass
182      REAL wqnumber(ngrid,nlayer+1) ! flux number
183      REAL qbar_mass_pbl(ngrid)     ! total dust mass mixing ratio within the PBL for Van Leer
184      REAL qbar_number_pbl(ngrid)   ! total dust number mixing ratio within the PBL for Van Leer
185      REAL masse_col(nlayer)        ! masse of the atmosphere in one column
186
187      REAL dqvl_dust_mass(ngrid,nlayer)       ! tendancy pdq dust mass after vertical transport
188      REAL dqvl_dust_number(ngrid,nlayer)     ! tendancy pdq dust number after vertical transport
189      REAL dqvl_topdust_mass(ngrid,nlayer)    ! tendancy pdq topdust mass after vertical transport
190      REAL dqvl_topdust_number(ngrid,nlayer)  ! tendancy pdq topdust number after vertical transport
191
192      INTEGER nsubtimestep(ngrid)    ! number of subtimestep when calling Van Leer scheme
193      REAL subtimestep(ngrid)        ! ptimestep/nsubtimestep
194      REAL dtmax                     ! considered minimum time interval needed for the dust to cross one vertical layer
195
196!     Detrainment     
197      REAL coefdetrain(ngrid,nlayer)          ! coefficient for detrainment : % of topdust detrained
198      REAL dqdet_topdust_mass(ngrid,nlayer)   ! tendancy pdq topdust mass after detrainment only
199      REAL dqdet_topdust_number(ngrid,nlayer) ! tendancy pdq topdust number after detrainment only
200
201!     Diagnostics
202      REAL    zlaywmax(ngrid)
203      REAL    detrain_rate(ngrid,nlayer)
204
205      ! **********************************************************************
206      ! **********************************************************************
207      ! Parametrization of the entrainment of dust by slope winds above the
208      ! converging sub-grid scale topography ("mountain top dust flows")
209      ! **********************************************************************
210      ! **********************************************************************     
211      !!    1. Radiative transfer in topdust
212      !!    2. Compute vertical velocity for topdust
213      !!    3. Vertical transport
214      !!    4. Detrainment
215      ! **********************************************************************
216      ! **********************************************************************
217     
218      ! **********************************************************************
219      ! 0. Initializations
220      ! **********************************************************************
221      aerosol(:,:,:)=0.
222      pdqtop(:,:,:) = 0.
223      dqvl_topdust_mass(:,:)=0.
224      dqvl_topdust_number(:,:)=0.
225      dqvl_dust_mass(:,:)=0.
226      dqvl_dust_number(:,:)=0.
227      dqdet_topdust_mass(:,:)=0.
228      dqdet_topdust_number(:,:)=0.
229      wup(:,:)=0.
230      wup2(:,:)=0.
231      wrad(:,:)=0.
232      w0(:)=0.
233      wfin(:,:)=0.     
234      w(:,:)=0.
235      zq(:,:,:) = 0.
236      zq0(:,:,:) = 0.
237      entr(:) = 0.
238      mr_dust_mass(:,:) = 0.
239      mr_dust_number(:,:) = 0.
240      mr_topdust_mass(:,:) = 0.
241      mr_topdust_number(:,:) = 0.
242      t_top(:,:) = 0.
243      dt_top(:) = 0.
244      newzt(:,:) = 0.
245      lmons(:) = 1
246      lsummit(:) =1
247      lwmax(:) = 1
248      deltahr(:,:) = 0.
249      zdtvert(:,:) = 0.
250      wqmass(:,:) = 0.
251      wqnumber(:,:) = 0.       
252      coefdetrain(:,:) = 1.
253      dqm_mass_pbl(:)=0.
254      dqm_number_pbl(:)=0.
255      nsubtimestep(:)=1
256      masse_pbl(:)=0.
257      detrain_rate(:,:) = 0.
258
259      !! Update the initial temperature
260      zt(1:ngrid,1:nlayer)=pt(1:ngrid,1:nlayer)+pdt(1:ngrid,1:nlayer)*ptimestep
261      newzt(1:ngrid,1:nlayer)=zt(1:ngrid,1:nlayer)
262      t_env(1:ngrid,1:nlayer)=zt(1:ngrid,1:nlayer)
263      t_top(1:ngrid,1:nlayer)=zt(1:ngrid,1:nlayer)
264
265      !! Update the initial mixing ratios
266      zq0(1:ngrid,1:nlayer,1:nq)=pq(1:ngrid,1:nlayer,1:nq)+pdq(1:ngrid,1:nlayer,1:nq)*ptimestep ! update of the background dust after rocket dust storm scheme
267      zq(1:ngrid,1:nlayer,1:nq)=zq0(1:ngrid,1:nlayer,1:nq)
268      zq_dust_mass(1:ngrid,1:nlayer)=zq(1:ngrid,1:nlayer,igcm_dust_mass)
269      zq_dust_number(1:ngrid,1:nlayer)=zq(1:ngrid,1:nlayer,igcm_dust_number)
270      zq_topdust_mass(1:ngrid,1:nlayer)=zq(1:ngrid,1:nlayer,igcm_topdust_mass)
271      zq_topdust_number(1:ngrid,1:nlayer)=zq(1:ngrid,1:nlayer,igcm_topdust_number)
272         
273! ----------------------------------------------------------------------
274! 1. Radiative heating
275! ----------------------------------------------------------------------
276
277       ! *********************************************************************
278       ! 1.1. Call the second radiative transfer for topdust, obtain the extra heating
279       ! *********************************************************************
280       
281       ! NB: since the only grid meshes that matter for the radiative transfer
282       !     are the ones that contain a mount (contains_mons(ig)=.true.),
283       !     it could be relevant to optimize the code by calling the RT
284       !     only for those grid meshes.
285       !     See Ticket #92 on trac.lmd.jussieu.fr/Planeto   
286        CALL callradite(icount,ngrid,nlayer,nq,zday,zls,zq,albedo,     &
287                 emis,mu0,pplev,pplay,pt,tsurf,fract,dist_sol,igout,   &
288                 zdtlw1,zdtsw1,fluxsurf_lw1,fluxsurf_dn_sw1,fluxsurf_up_sw1, &
289                 fluxtop_lw1,fluxtop_dn_sw1,fluxtop_up_sw1,  &
290                 tau_pref_scenario,tau_pref_gcm, &
291                 tau,aerosol,dsodust,tauscaling,dust_rad_adjust,IRtoVIScoef, &
292                 taucloudtes,rdust,rice,nuice,riceco2,nuiceco2,co2ice,rstormdust,rtopdust, &
293                 totstormfract,clearatm,dsords,dsotop,nohmons,&
294                 clearsky,totcloudfrac)
295       ! **********************************************************************
296       ! 1.2. Compute radiative vertical velocity for entrained topdust
297       ! **********************************************************************
298        DO ig=1,ngrid
299          IF ( (mu0(ig) .gt. mu0lim) .and. (contains_mons(ig)) ) THEN
300            !! mu0(ig)>mu0lim ensures that it is daytime
301            !! contains_mons=True ensures that there is a mount in the mesh and alpha_hmons>0
302         
303            !! **********************************************************************
304            !! Temperature profile above the mountain and in the close environment
305            call t_topmons(nlayer,summit(ig),hsummit(ig),hmons(ig),zt(ig,:),pzlay(ig,:), &
306                               t_top(ig,:),dt_top(ig),t_env(ig,:),lsummit(ig),lmons(ig))
307            !! **********************************************************************
308            !! Calculation of the extra heating : computing heating rates
309            !! gradient at boundaries of each layer
310            zdtlw1_lev(ig,1)=0.
311            zdtsw1_lev(ig,1)=0.
312            zdtlw_lev(ig,1)=0.
313            zdtsw_lev(ig,1)=0.
314            ztlev(ig,1)=zt(ig,1)
315            t_top_lev(ig,1)=tsurf(ig)
316           
317            DO l=1,nlayer-1
318              !! Calculation for the background dust AND the concentrated topdust
319              zdtlw1_lev(ig,l+1)=(zdtlw1(ig,l)*(pzlay(ig,l+1)-pzlev(ig,l+1))+ &
320                           zdtlw1(ig,l+1)*(pzlev(ig,l+1)-pzlay(ig,l)))  /  &
321                              (pzlay(ig,l+1)-pzlay(ig,l))
322           
323              zdtsw1_lev(ig,l+1)=(zdtsw1(ig,l)*(pzlay(ig,l+1)-pzlev(ig,l+1))+ &
324                           zdtsw1(ig,l+1)*(pzlev(ig,l+1)-pzlay(ig,l)))  /  &
325                              (pzlay(ig,l+1)-pzlay(ig,l))
326              !! Calculation for the background dust only
327              zdtlw_lev(ig,l+1)=(pdtlw(ig,l)*(pzlay(ig,l+1)-pzlev(ig,l+1))+   &
328                           pdtlw(ig,l+1)*(pzlev(ig,l+1)-pzlay(ig,l)))  /   &
329                              (pzlay(ig,l+1)-pzlay(ig,l))
330           
331              zdtsw_lev(ig,l+1)=(pdtsw(ig,l)*(pzlay(ig,l+1)-pzlev(ig,l+1))+   &
332                           pdtsw(ig,l+1)*(pzlev(ig,l+1)-pzlay(ig,l)))  /   &
333                              (pzlay(ig,l+1)-pzlay(ig,l))
334              !! Temperature at the levels
335              ztlev(ig,l+1)=(zt(ig,l)*(pzlay(ig,l+1)-pzlev(ig,l+1))+          &
336                           zt(ig,l+1)*(pzlev(ig,l+1)-pzlay(ig,l)))  /      &
337                              (pzlay(ig,l+1)-pzlay(ig,l))
338              !! Temperature above the mountain at the levels
339              t_top_lev(ig,l+1)=(t_top(ig,l)*(pzlay(ig,l+1)-pzlev(ig,l+1))+          &
340                           t_top(ig,l+1)*(pzlev(ig,l+1)-pzlay(ig,l)))  /      &
341                              (pzlay(ig,l+1)-pzlay(ig,l))
342            ENDDO ! DO l=1,nlayer-1
343            !! **********************************************************************
344            !! Vertical velocity profile for extra heating balanced by adiabatic cooling
345            !! Gradient at boundaries of each layer, start from surface
346            zdtvert(ig,1)=0.
347            DO l=1,nlayer-1
348              zdtvert(ig,l+1)=(t_top_lev(ig,l+1)-t_top_lev(ig,l))/(pzlay(ig,l+1)-pzlay(ig,l))
349            ENDDO
350            !! Extra heating balanced by adiabatic cooling
351            DO l=1,nlayer
352              deltahr(ig,l)=(zdtlw1_lev(ig,l)+zdtsw1_lev(ig,l))  &
353                                          -(zdtlw_lev(ig,l)+zdtsw_lev(ig,l))
354              wrad(ig,l)=-deltahr(ig,l)/(g/cpp+   &
355                                         max(zdtvert(ig,l),-0.99*g/cpp))
356              !! Limit of the vertical wind velocity in case of lapse rate close to adiabatic
357              wrad(ig,l)=max(wrad(ig,l),-wmax)
358              wrad(ig,l)=min(wrad(ig,l),wmax)
359              !! ATTENTION !! to simplify here, no downward velocity calculated
360              if (wrad(ig,l).gt.0.) then
361                wrad(ig,l)=0. 
362              endif
363            ENDDO
364          ENDIF ! IF ((mu0(ig) .gt. mu0lim) .and. contains_mons(ig))
365        ENDDO ! DO ig=1,ngrid
366
367! ----------------------------------------------------------------------
368! 2. Vertical velocity profile
369! ----------------------------------------------------------------------
370
371       ! **********************************************************************
372       ! 2.1 Compute total vertical velocity for entrained topdust: buoyancy + radiative
373       ! **********************************************************************
374       DO ig=1,ngrid
375         IF ( (mu0(ig) .gt. mu0lim) .and. (contains_mons(ig)) ) THEN
376           !! Positive buoyancy: negative vertical velocity entrains UP
377           IF (dt_top(ig) .gt. 0.) THEN
378             !! Convergence of vertical winds at the top of the mountain
379             w0(ig)=-k0*g*sqrt((dt_top(ig)/t_env(ig,lsummit(ig))))
380             !! Case the vertical velocity at the top of the mountain > wrad
381             IF (w0(ig).lt.wrad(ig,lsummit(ig)+1)) then
382               wup(ig,lsummit(ig)+1)=w0(ig)
383               wfin(ig,lsummit(ig)+1)=w0(ig)
384               newzt(ig,lsummit(ig))= t_top(ig,lsummit(ig))
385               !! Temperature profile from the top of the summit to the top of the atmosphere
386               DO l=lsummit(ig)+1,nlayer-1
387                 !ATTENTION: test without wrad, T is only decreasing because of the adiabatic gradient
388                 !newzt(ig,l)=newzt(ig,l-1)-(g/cpp)*        &
389                 !               (pzlay(ig,l)-pzlay(ig,l-1))
390                 !! Case of superadiabatic layer
391                 IF (zdtvert(ig,l) .lt. -g/cpp) then
392                    newzt(ig,l)=t_top(ig,l)
393                 !! New temperature due to radiative heating balanced by adiabatic cooling
394                 ELSE
395                    newzt(ig,l)=newzt(ig,l-1)+ &
396                               ( (deltahr(ig,l)/(-wfin(ig,l)))-g/cpp )*  &
397                               ( pzlay(ig,l)-pzlay(ig,l-1) )
398                 ENDIF ! (zdtvert(ig,l) .lt. -g/cpp)
399                 !! Vertical velocity profile due to the presence of the mountain with the new temperature
400                 !! Square of the vertical velocity profile with the new temperature
401                 wup2(ig,l+1)=(1.-2*k1*(pzlev(ig,l+1)-pzlev(ig,l)))*&
402                              (wup(ig,l)**2)+2.*k2*g*(pzlev(ig,l+1) &
403                             -pzlev(ig,l))*((newzt(ig,l)       &
404                             -t_env(ig,l))/t_env(ig,l))
405                 !! Vertical velocity profile if W2 > 0
406                 IF (wup2(ig,l+1) .gt. 0.) THEN
407                   wup(ig,l+1)=-sqrt(wup2(ig,l+1))
408                   wfin(ig,l+1)=wup(ig,l+1)
409                   IF (wup(ig,l+1) .gt. wrad(ig,l+1)) then
410                     DO ll=l,nlayer-1
411                       newzt(ig,ll)=zt(ig,ll)
412                       wfin(ig,ll+1)=wrad(ig,ll+1)
413                     ENDDO
414                     EXIT
415                   ENDIF
416                 !! Vertical velocity profile if W2 < 0
417                 ELSE
418                   DO ll=l,nlayer-1
419                     newzt(ig,ll)=zt(ig,ll)
420                     wfin(ig,ll+1)=wrad(ig,ll+1)
421                   ENDDO
422                     EXIT
423                 ENDIF ! IF (wup2(ig,l+1) .gt. 0.)   
424               ENDDO ! DO l=lsummit(ig)+1,nlayer-1
425             !! Case the vertical velocity at the top of the mountain < wrad
426             ELSE
427               DO ll=lsummit(ig),nlayer-1
428                  newzt(ig,ll)=zt(ig,ll)
429                  wfin(ig,ll+1)=wrad(ig,ll+1)
430               ENDDO
431             ENDIF !(w0(ig).lt.wrad(ig,lsummit(ig)+1))
432           !! Positive buoyancy: positive vertical velocity entrains DOWN
433           ELSE
434             DO l=lsummit(ig)+1,nlayer
435                wfin(ig,l)=wrad(ig,l)
436             ENDDO
437           ENDIF ! IF (dt_top(ig) .gt. 0.)           
438       ! **********************************************************************
439       ! 2.2 Find the level lwmax of the maximum vertical velocity caused by the
440       ! mountain presence (wup), where to entrain the dust from the PBL
441       ! **********************************************************************
442           IF (minloc(wup(ig,:),dim=1).lt.nlayer) THEN
443             lwmax(ig)=minloc(wup(ig,:),dim=1)
444           ENDIF
445           zlaywmax(ig)=pzlay(ig,lwmax(ig)) ! wup(lwmax) acts on level lwmax, going to layer lwmax
446       ! **********************************************************************
447       ! 2.3 Compute the subtimestep to conserve the mass in the Van Leer transport
448       ! **********************************************************************
449           !! Calculation of the subtimesteps
450           dtmax=ptimestep
451           DO l=lwmax(ig),nlayer
452             IF (wfin(ig,l).lt.0.) THEN
453               dtmax=min(dtmax,(pzlev(ig,l)-pzlev(ig,l-1))/  &
454                                 (secu*abs(wfin(ig,l))))
455             ELSE IF (wfin(ig,l).gt.0.) then
456               dtmax=min(dtmax,(pzlev(ig,l+1)-pzlev(ig,l))/  &
457                                 (secu*abs(wfin(ig,l))))
458             ENDIF
459           ENDDO
460           nsubtimestep(ig)= int(ptimestep/dtmax)
461           subtimestep(ig)=ptimestep/float(nsubtimestep(ig))
462           !! Mass flux generated by wup in kg/m2
463           DO l=1,nlayer!+1
464             w(ig,l)=wfin(ig,l)*pplev(ig,l)/(r*ztlev(ig,l)) &
465                      *subtimestep(ig)
466           ENDDO ! l=1,nlayer
467                       
468          ENDIF ! ((mu0(ig) .gt. mu0lim)...
469        ENDDO ! DO ig=1,ngrid
470
471! ----------------------------------------------------------------------
472! 3. Dust entrainment by slope winds above the mountain
473! ----------------------------------------------------------------------
474        !! rho on the layer
475        rho(:,:)=pplay(:,:)/(r*pt(:,:))
476        !! rhobarz(l) = rho(l+1/2): rho on the levels
477        rhobarz(:,1)=rho(:,1)
478        DO l=2,nlayer
479          rhobarz(:,l)=pplev(:,l)/(r*0.5*(pt(:,l)+pt(:,l-1)))
480        ENDDO
481        rhobarz(:,nlayer+1)=0. !top of the model
482        !! Mass computation
483        DO l=1,nlayer
484          masse(:,l)=(pplev(:,l)-pplev(:,l+1))/g
485        ENDDO
486
487        DO ig=1,ngrid
488          IF ( (mu0(ig) .gt. mu0lim) .and. (contains_mons(ig)) ) THEN
489            !! Total air mass within the PBL before entrainment (=> by PBL we mean between the surface and the layer where the vertical wind is maximum)
490            masse_pbl(ig)=0.
491            DO l=1,lwmax(ig)-1
492              masse_pbl(ig)=masse_pbl(ig)+(pplev(ig,l)-pplev(ig,l+1))/g
493            ENDDO
494          ENDIF ! ((mu0(ig) .gt. mu0lim)...
495        ENDDO ! ig=1,ngrid
496       ! **********************************************************************
497       ! 3.1. Entrainment
498       ! **********************************************************************
499        DO ig=1,ngrid
500          IF ( (mu0(ig) .gt. mu0lim) .and. (contains_mons(ig)) .and. (masse_pbl(ig) .gt. 0.) ) THEN
501            !! Transport of background dust + concentrated topdust above lwmax
502            DO l=lwmax(ig),nlayer
503              mr_dust_mass(ig,l) = zq_dust_mass(ig,l)
504              mr_dust_number(ig,l) = zq_dust_number(ig,l)
505              mr_topdust_mass(ig,l) = zq_dust_mass(ig,l) &
506                                     +zq_topdust_mass(ig,l)/alpha_hmons(ig)
507              mr_topdust_number(ig,l) = zq_dust_number(ig,l) &
508                                     +zq_topdust_number(ig,l)/alpha_hmons(ig)
509            ENDDO ! l=lwmax(ig),nlayer
510            !! Entrainment flux from the PBL
511            entr(ig) = alpha_hmons(ig)*wup(ig,lwmax(ig))*rhobarz(ig,lwmax(ig))/masse_pbl(ig)
512            !! If entrains more than available masse_pbl (abs(entr) x mass_pbl x ptimestep > masse_pbl)
513            if (abs(entr(ig)) .gt. 1./ptimestep) then
514              entr(ig) = -(1./ptimestep)
515            end if
516       ! **********************************************************************
517       ! 3.2. Vertical transport: Van Leer
518       ! **********************************************************************
519            !! Loop over the subtimesteps
520            DO tsub=1,nsubtimestep(ig)
521              !! qbar_pbl: total mixing ratio within the PBL
522              masse_pbl_dust_mass(ig)=0.
523              masse_pbl_dust_number(ig)=0.
524              DO l=1,lwmax(ig)-1
525                masse_pbl_dust_mass(ig)=masse_pbl_dust_mass(ig)+zq_dust_mass(ig,l)*(pplev(ig,l)-pplev(ig,l+1))/g
526                masse_pbl_dust_number(ig)=masse_pbl_dust_number(ig)+zq_dust_number(ig,l)*(pplev(ig,l)-pplev(ig,l+1))/g
527              ENDDO
528              qbar_mass_pbl(ig)=masse_pbl_dust_mass(ig)/masse_pbl(ig)
529              qbar_number_pbl(ig)=masse_pbl_dust_mass(ig)/masse_pbl(ig)
530              !! integration of the equation dq/dt = -(entr)q, with entr constant --> w0 < 0 when up so the equation is dq/dt = (entr)q
531              dqm_mass_pbl(:)=0.
532              dqm_number_pbl(:)=0.
533              DO l=1,lwmax(ig)-1 ! this time we take the dust from the surface up to the level, where the velocity is maximum
534                !! Total dust entrained from the PBL:
535                dqm_mass_pbl(ig)=dqm_mass_pbl(ig)+(1.-exp(entr(ig)*subtimestep(ig)))*zq_dust_mass(ig,l)*(pplev(ig,l)-pplev(ig,l+1))/g
536                dqm_number_pbl(ig)=dqm_number_pbl(ig)+(1.-exp(entr(ig)*subtimestep(ig)))*zq_dust_number(ig,l)*(pplev(ig,l)-pplev(ig,l+1))/g
537                !! Background dust after entrainment (explicit: qdust(ig,l)=qdust(ig,l)-entr(ig)*qdust(ig,l)*ptimestep)
538                zq_dust_mass(ig,l)=zq_dust_mass(ig,l)-(1.-exp(entr(ig)*subtimestep(ig)))*zq_dust_mass(ig,l)
539                zq_dust_number(ig,l)=zq_dust_number(ig,l)-(1.-exp(entr(ig)*subtimestep(ig)))*zq_dust_number(ig,l)
540              ENDDO
541              !! Van Leer scheme (from lwmax to nlayer)
542              wqmass(ig,:)=0.
543              wqnumber(ig,:)=0.
544              CALL van_leer(nlayer,mr_topdust_mass(ig,:),2.,lwmax(ig),  &
545                  masse(ig,:),w(ig,:),wqmass(ig,:),masse_pbl(ig),dqm_mass_pbl(ig),alpha_hmons(ig),qbar_mass_pbl(ig))
546              CALL van_leer(nlayer,mr_topdust_number(ig,:),2.,lwmax(ig),  &
547                  masse(ig,:),w(ig,:),wqnumber(ig,:),masse_pbl(ig),dqm_number_pbl(ig),alpha_hmons(ig),qbar_number_pbl(ig))
548            ENDDO !tsub=...
549       ! **********************************************************************
550       ! 3.3. Re-calculation of the mixing ratios after vertical transport
551       ! **********************************************************************
552            !! Redistribution from lwmax to nlayer
553            DO l=lwmax(ig),nlayer
554              !! General and "healthy" case
555              IF (mr_topdust_mass(ig,l).ge.mr_dust_mass(ig,l)) THEN
556                zq_dust_mass(ig,l) = mr_dust_mass(ig,l)
557                zq_dust_number(ig,l) = mr_dust_number(ig,l)
558                zq_topdust_mass(ig,l) = alpha_hmons(ig)*(mr_topdust_mass(ig,l)-mr_dust_mass(ig,l))
559                zq_topdust_number(ig,l) = alpha_hmons(ig)*(mr_topdust_number(ig,l)-mr_dust_number(ig,l))
560              !! Particular case: there is less than initial dust mixing ratio after the vertical transport
561              ELSE
562                zq_dust_mass(ig,l) = (1.-alpha_hmons(ig))*mr_dust_mass(ig,l)+alpha_hmons(ig)*mr_topdust_mass(ig,l)
563                zq_dust_number(ig,l) = (1.-alpha_hmons(ig))*mr_dust_number(ig,l)+alpha_hmons(ig)*mr_topdust_number(ig,l)
564                zq_topdust_mass(ig,l) = 0.
565                zq_topdust_number(ig,l) = 0.
566              ENDIF
567            ENDDO ! DO l=lwmax(ig),nlayer
568       ! **********************************************************************
569       ! 3.4. Calculation of the tendencies of the vertical transport from the surface up to the top of the atmosphere
570       ! **********************************************************************
571            DO l=1,nlayer
572              dqvl_topdust_mass(ig,l) = (zq_topdust_mass(ig,l)- &
573                                    zq0(ig,l,igcm_topdust_mass)) /ptimestep
574              dqvl_topdust_number(ig,l) = (zq_topdust_number(ig,l)- &
575                                      zq0(ig,l,igcm_topdust_number)) /ptimestep
576              dqvl_dust_mass(ig,l) = (zq_dust_mass(ig,l)-zq0(ig,l,igcm_dust_mass)) /ptimestep
577              dqvl_dust_number(ig,l) = (zq_dust_number(ig,l)-zq0(ig,l,igcm_dust_number)) /ptimestep
578           ENDDO
579
580          ENDIF ! ((mu0(ig) .gt. mu0lim)...
581        ENDDO ! ig=1,ngrid
582
583! ----------------------------------------------------------------------
584! 4. Detrainment: topdust is converted to background dust
585! ----------------------------------------------------------------------
586
587        !! **********************************************************************
588        !! 4.1 Compute the coefficient of detrainment
589        !! **********************************************************************
590        DO ig=1,ngrid
591          !DO l=lwmax(ig),nlayer-1
592          DO l=1,nlayer!-1
593            !! Detrainment during the day
594            IF ( (mu0(ig) .gt. mu0lim) .and. (zq_topdust_mass(ig,l) .gt. zq_dust_mass(ig,l)*0.01) .and. (contains_mons(ig)) ) THEN
595               coefdetrain(ig,l)=1.*( rhobarz(ig,l+1)*abs(wfin(ig,l+1)) - rhobarz(ig,l)*abs(wfin(ig,l)) ) / masse(ig,l)
596               !! Detrainment when abs(w(l)) > abs(w(l+1)), i.e. coefdetrain < 0
597               if ( coefdetrain(ig,l).lt.0.) then
598                dqdet_topdust_mass(ig,l)=-(1.-exp(coefdetrain(ig,l)*ptimestep))*zq_topdust_mass(ig,l)/ptimestep
599                dqdet_topdust_number(ig,l)=-(1.-exp(coefdetrain(ig,l)*ptimestep))*zq_topdust_number(ig,l)/ptimestep
600                ! for diagnostics
601                detrain_rate(ig,l)=(1.-exp(coefdetrain(ig,l)*ptimestep))
602                !! One cannot detrain more than available topdust
603                if ( (abs(dqdet_topdust_mass(ig,l)).gt.zq_topdust_mass(ig,l)/ptimestep) .or. (abs(dqdet_topdust_number(ig,l)).gt.zq_topdust_number(ig,l)/ptimestep) ) then
604                  dqdet_topdust_mass(ig,l)=-zq_topdust_mass(ig,l)/ptimestep
605                  dqdet_topdust_number(ig,l)=-zq_topdust_number(ig,l)/ptimestep
606                  detrain_rate(ig,l)=1.
607                endif
608               !else!entrainment
609               !  dqdet_topdust_mass(ig,l)=-(1.-exp(coefdetrain(ig,l)*ptimestep))*zq_dust_mass(ig,l)/ptimestep
610               !  dqdet_topdust_number(ig,l)=-(1.-exp(coefdetrain(ig,l)*ptimestep))*zq_dust_number(ig,l)/ptimestep
611               endif
612            !! Full detrainment imposed during the night or when topdust leaves its origin column (contains_mons=False)
613            ELSE
614               dqdet_topdust_mass(ig,l)=-zq_topdust_mass(ig,l)/ptimestep
615               dqdet_topdust_number(ig,l)=-zq_topdust_number(ig,l)/ptimestep
616               detrain_rate(ig,l)=1.
617            ENDIF
618          ENDDO ! DO l=1,nlayer
619        ENDDO ! DO ig=1,ngrid
620
621! ----------------------------------------------------------------------
622! 5. Final tendencies: vertical transport + detrainment
623! ----------------------------------------------------------------------     
624
625        DO ig=1,ngrid
626          DO l=1,nlayer     
627          pdqtop(ig,l,igcm_topdust_mass)=dqdet_topdust_mass(ig,l) &
628                                                 +dqvl_topdust_mass(ig,l)
629          pdqtop(ig,l,igcm_topdust_number)=dqdet_topdust_number(ig,l) &
630                                                 +dqvl_topdust_number(ig,l)
631          pdqtop(ig,l,igcm_dust_mass)= -dqdet_topdust_mass(ig,l) &
632                                       +dqvl_dust_mass(ig,l)
633          pdqtop(ig,l,igcm_dust_number)= -dqdet_topdust_number(ig,l) &
634                                       +dqvl_dust_number(ig,l)
635          ENDDO ! DO l=1,nlayer
636        ENDDO ! DO ig=1,ngrid
637
638
639! **********************************************************************
640! WRITEDIAGFI
641! **********************************************************************
642        IF (ngrid.eq.1) THEN
643               CALL WRITEDIAGFI(ngrid,'wup_top', &
644                'wup_top','',1,wup(:,:))
645               CALL WRITEDIAGFI(ngrid,'wrad_top', &
646                'wrad_top','',1,wrad(:,:))
647               CALL WRITEDIAGFI(ngrid,'wfin_top', &
648                'wfin_top','',1,wfin(:,:))
649               CALL WRITEDIAGFI(ngrid,'wlwmax_top', &
650                'wlwmax_top','',0,wup(:,lwmax(1)))
651               CALL WRITEDIAGFI(ngrid,'w0_top', &
652                'w0_top','',0,wup(:,lsummit(1)+1))
653               CALL WRITEDIAGFI(ngrid,'alpha_hmons', &
654                'alpha_hmons','',0,alpha_hmons)
655               CALL WRITEDIAGFI(ngrid,'zt_top', &
656                'zt_top','',1,t_top(:,:))
657               CALL WRITEDIAGFI(ngrid,'dt_top', &
658                'dt_top','',0,dt_top(:))
659               CALL WRITEDIAGFI(ngrid,'envtemp', &
660                'envtemp','',1,zt(:,:))
661               CALL WRITEDIAGFI(ngrid,'t_env', &
662                't_env','',1,t_env(:,:))
663               CALL WRITEDIAGFI(ngrid,'newzt_top', &
664                'newzt_top','',1,newzt(:,:))
665               CALL WRITEDIAGFI(ngrid,'deltahr_top', &
666                'deltahr_top','',1,deltahr(:,:))
667               CALL WRITEDIAGFI(ngrid,'rholev', &
668                'rholev','',1,rho(:,:))
669               CALL WRITEDIAGFI(ngrid,'rhobarz', &
670                'rhobarz','',1,rhobarz(:,:))
671               CALL WRITEDIAGFI(ngrid,'zlsummit', &
672                'zlsummit','',0,pzlay(:,lsummit(1)))
673               CALL WRITEDIAGFI(ngrid,'zlwmax', &
674                'zlwmax','',0,pzlay(:,lwmax(1)))
675               CALL WRITEDIAGFI(ngrid,'pzlev_top', &
676                'pzlev_top','',1,pzlev(:,:))
677               CALL WRITEDIAGFI(ngrid,'coefdetrain', &
678                'coefdetrain','',1,coefdetrain(:,:))
679               CALL WRITEDIAGFI(ngrid,'zdtvert', &
680                'zdtvert','',1,zdtvert(:,:))
681               CALL WRITEDIAGFI(ngrid,'entr', &
682                'entr','',0,entr(:))
683        ELSE
684               CALL WRITEDIAGFI(ngrid,'wup_top', &
685                'wup_top','',3,wup(:,:))
686               CALL WRITEDIAGFI(ngrid,'wup2_top', &
687                'wup2_top','',3,wup2(:,:))
688               CALL WRITEDIAGFI(ngrid,'wrad_top', &
689                'wrad_top','',3,wrad(:,:))
690               CALL WRITEDIAGFI(ngrid,'wfin_top', &
691                'wfin_top','',3,wfin(:,:))
692               CALL WRITEDIAGFI(ngrid,'hmons', &
693                'hmons','',2,hmons)
694               CALL WRITEDIAGFI(ngrid,'hsummit', &
695                'hsummit','',2,hsummit)
696               CALL WRITEDIAGFI(ngrid,'alpha_hmons', &
697                'alpha_hmons','',2,alpha_hmons)
698               CALL WRITEDIAGFI(ngrid,'zt_top', &
699                'zt_top','',3,t_top(:,:))
700               CALL WRITEDIAGFI(ngrid,'ztemp', &
701                'envtemp','',3,zt(:,:))
702               CALL WRITEDIAGFI(ngrid,'zt_env', &
703                't_env','',3,t_env(:,:))
704               CALL WRITEDIAGFI(ngrid,'zdtvert_top', &
705                'zdtvert_top','',3,zdtvert(:,:))
706               CALL WRITEDIAGFI(ngrid,'newzt_top', &
707                'newzt_top','',3,newzt(:,:))
708               CALL WRITEDIAGFI(ngrid,'deltahr_top', &
709                'deltahr_top','',3,deltahr(:,:))
710               CALL WRITEDIAGFI(ngrid,'rhobarz', &
711                'rhobarz','',3,rhobarz(:,:))
712               CALL WRITEDIAGFI(ngrid,'zlwmax', &
713                'zlwmax','',2,zlaywmax(:))
714               CALL WRITEDIAGFI(ngrid,'coefdetrain', &
715                'coefdetrain','',3,coefdetrain(:,:))
716               CALL WRITEDIAGFI(ngrid,'detrain_rate', &
717                              'detrain_rate', &
718                              '',3,detrain_rate(:,:))
719
720        ENDIF
721       
722        END SUBROUTINE topmons
723
724!=======================================================================     
725
726! **********************************************************************
727! Subroutine to determine both temperature profiles above and near
728! a sub-grid scale mountain
729!***********************************************************************
730       SUBROUTINE t_topmons(nlayer,summit,hsummit,hmons,zt,zlay,t_top,dt_top,t_env,lsummit,lmons)
731
732       USE comcstfi_h, only: g,cpp
733
734       IMPLICIT NONE
735
736!--------------------------------------------------------
737! Input Variables
738!--------------------------------------------------------
739       integer,intent(in) :: nlayer
740       real,intent(in) :: summit          ! Height of the mountain summit
741       real,intent(in) :: hmons           ! Height of the mountain slope
742       real,intent(in) :: hsummit         ! Height of the mountain summit from the GCM surface
743       real,intent(in) :: zt(nlayer)      ! large scale temperature profile
744       real,intent(in) :: zlay(nlayer)    ! height at the middle of each layer
745!--------------------------------------------------------
746! Output Variables
747!--------------------------------------------------------
748       real,intent(out) :: t_top(nlayer) ! temperature  above the mountain
749       real,intent(out) :: dt_top        ! temperature difference between the slope and
750                                         ! the environment
751       real,intent(out) :: t_env(nlayer)   ! temperature of the environment next to the mountain
752       integer,intent(out) :: lsummit      ! layer reached by the summit height in the GCM
753       integer,intent(out) :: lmons        ! layer of the real temperature to be considered near to the mountain top
754
755!--------------------------------------------------------
756! Local Variables
757!--------------------------------------------------------
758       integer l,ll
759       real zlmons
760
761! **********************************************************************
762       t_env(:)=zt(:)
763       t_top(:)=zt(:)
764       dt_top=0.
765       lsummit=1
766       lmons=1
767
768       !! Layer where the dust is injected
769       do while (hsummit .ge. zlay(lsummit))
770           !! highest layer reached by the mountain (we don't interpolate and define zlay(lsummit) as the top of the mountain)
771           lsummit=lsummit+1
772       enddo
773       !! temperature above the mountain is set to the surface temperature
774       t_top(lsummit)=zt(1)
775       do l=lsummit,nlayer-1
776          !! temperature above the mountain follows the adiabatic
777          t_top(l+1)=t_top(l)-(zlay(l+1)-zlay(l))*g/cpp
778       enddo
779
780       !! Layer where to take the temperature above the mountain
781       do while (hmons .ge. zlay(lmons))
782           lmons=lmons+1
783       enddo
784       !! Real temperature of the environment near to the mountain is t_env(lsummit)=zt(lmons)
785       !! (More simple and makes no real difference is to impose t_env(:)=zt(:))
786       if (lmons.gt.lsummit) then
787         t_env(lsummit)=zt(lmons)
788         zlmons=zlay(lmons)
789         do l=0,nlayer-lsummit-1!2
790           zlmons=zlmons+(zlay(lsummit+l+1)-zlay(lsummit+l))
791           ll=lmons
792           do while (zlmons .ge. zlay(ll) .and. ll.lt.nlayer )
793             ll=ll+1
794           enddo
795           ll=ll-1
796           !! Interpolation above lsummit
797           t_env(lsummit+l+1)= zt(ll) + ((zlmons-zlay(ll))*(zt(ll+1)-zt(ll))/(zlay(ll+1)-zlay(ll)))
798         enddo
799         t_env(nlayer)=zt(nlayer)
800       endif ! (lmons.gt.lsummit)
801       do l=1,nlayer
802          !! temperature above the mountain follows the adiabatic up to reach the environment temperature
803          if (t_top(l).le.t_env(l)) then
804            t_top(l)=t_env(l)
805          endif
806       enddo
807       !!  Temperature delta created at the top of the mountain
808       dt_top = t_top(lsummit)-t_env(lsummit)
809
810       END SUBROUTINE t_topmons
811
812!======================================================================= 
813! **********************************************************************
814! Subroutine to determine the vertical transport with
815! a Van Leer advection scheme (copied from the sedimentation scheme --> see vlz_fi.F)
816!***********************************************************************
817      SUBROUTINE van_leer(nlay,q,pente_max,lwmax,masse,w,wq,masse_pbl,dqm_pbl,alpha_hmons,qbar_pbl)
818
819      IMPLICIT NONE
820
821!--------------------------------------------------------
822! Input/Output Variables
823!--------------------------------------------------------
824      INTEGER,INTENT(IN) :: nlay       ! number of atmospheric layers
825      REAL,INTENT(IN) :: masse(nlay)   ! mass of the layer Dp/g
826      REAL,INTENT(IN) :: pente_max     != 2 conseillee
827      INTEGER,INTENT(IN) :: lwmax      ! layer of dust injection above the mountain, where the vertical velocity is maximum
828      REAL,INTENT(INOUT) :: w(nlay)    ! atmospheric mass "transferred" at each timestep (kg.m-2)
829      REAL,INTENT(INOUT) :: wq(nlay+1)
830      REAL,INTENT(INOUT) :: q(nlay)    ! mixing ratio (kg/kg)
831      REAL,INTENT(IN) :: masse_pbl
832      REAL,INTENT(IN) :: dqm_pbl
833      REAL,INTENT(IN) :: alpha_hmons
834      REAL,INTENT(IN) :: qbar_pbl
835
836!--------------------------------------------------------
837! Local Variables
838!--------------------------------------------------------
839
840      INTEGER i,l,j,ii
841      REAL dzq(nlay),dzqw(nlay),adzqw(nlay),dzqmax
842      REAL sigw, Mtot, MQtot
843      INTEGER m
844
845! **********************************************************************
846!  Mixing ratio vertical gradient at the levels
847! **********************************************************************
848      do l=lwmax+1,nlay !l=2,nlay
849            dzqw(l)=q(l-1)-q(l)
850            adzqw(l)=abs(dzqw(l))
851      enddo
852
853      do l=lwmax+1,nlay-1 !l=2,nlay-1
854            if(dzqw(l)*dzqw(l+1).gt.0.) then
855                dzq(l)=0.5*(dzqw(l)+dzqw(l+1))
856            else
857                dzq(l)=0.
858            endif
859            dzqmax=pente_max*min(adzqw(l),adzqw(l+1))
860            dzq(l)=sign(min(abs(dzq(l)),dzqmax),dzq(l))
861      enddo
862
863      dzq(lwmax)=0. !! dzq(1)=0. => Attention: in the case of van leer only above the mountain it is very important to initialize the transport from lwmax !!
864      dzq(nlay)=0.
865! **********************************************************************
866!  Vertical advection
867! **********************************************************************
868
869       !! No flux at the model top:
870       wq(nlay+1)=0.
871
872       !! Mass flux injected at lwmax
873       wq(lwmax) = -dqm_pbl/alpha_hmons ! dqm_pbl = alpha_hmons x wup(wmax) x rho(lwmax) x ptimestep x qbar_pbl
874                                        ! /alpha_hmons because the variable considered is mr_topdust
875       do l = lwmax,nlay-1
876
877!      1) Compute wq where w < 0 (up) (UPWARD TRANSPORT)     
878!      ===============================
879
880         if (w(l+1).le.0) then
881!         Regular scheme (transfered mass < 1 layer)
882!         ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
883          if(-w(l+1).le.masse(l))then
884            sigw=w(l+1)/masse(l)
885            wq(l+1)=w(l+1)*(q(l)-0.5*(1.+sigw)*dzq(l))
886!!-------------------------------------------------------
887!          The following part should not be needed in the
888!          case of an integration over subtimesteps
889!!-------------------------------------------------------
890!!         Extended scheme (transfered mass > 1 layer)
891!!         ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
892!!          else
893!!             m = l-1
894!!             Mtot = masse(m+1)
895!!             MQtot = masse(m+1)*q(m+1)
896!!             if (m.lt.lwmax)goto 77!if (m.le.0)goto 77
897!!             do while(-w(l+1).gt.(Mtot+masse(m)))
898!!                m=m-1
899!!                Mtot = Mtot + masse(m+1)
900!!                MQtot = MQtot + masse(m+1)*q(m+1)
901!!                if (m.lt.lwmax)goto 77!if (m.le.0)goto 77
902!!             end do
903!! 77          continue
904!!
905!!              if (m.gt.lwmax) then!if (m.gt.0) then
906!!                sigw=(w(l+1)+Mtot)/masse(m)
907!!                wq(l+1)= -(MQtot + (-w(l+1)-Mtot)*         &
908!!                (q(m)-0.5*(1.+sigw)*dzq(m)))
909!!              else if ((-w(l+1).gt.(Mtot))) then
910!!                Mtot=Mtot+masse_pbl!*alpha_hmons
911!!                MQtot=MQtot+masse_pbl*qbar_pbl!*alpha_hmons
912!!                sigw=(w(l+1)+Mtot)/masse(m)
913!!                wq(l+1)= -(MQtot + (-w(l+1)-Mtot)*qbar_pbl)
914!!              else
915!!                w(l+1) = -Mtot
916!!                wq(l+1) = -MQtot
917!!              end if
918!!
919          endif
920
921!      2) Compute wq where w > 0 (down) (DOWNWARD TRANSPORT)     
922!      ===============================
923
924         else if (w(l).gt.0.) then
925!         Regular scheme (transfered mass < 1 layer)
926!         ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
927          if(w(l).le.masse(l))then
928            sigw=w(l)/masse(l)
929            wq(l)=w(l)*(q(l)+0.5*(1.-sigw)*dzq(l))
930!!-------------------------------------------------------
931!          The following part should not be needed in the
932!          case of an integration over subtimesteps
933!!-------------------------------------------------------
934!!         Extended scheme (transfered mass > 1 layer)
935!!         ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
936!!          else
937!!            m=l
938!!            Mtot = masse(m)
939!!            MQtot = masse(m)*q(m)
940!!            if(m.ge.nlay)goto 88
941!!            do while(w(l).gt.(Mtot+masse(m+1)))
942!!               m=m+1
943!!                Mtot = Mtot + masse(m)
944!!                MQtot = MQtot + masse(m)*q(m)
945!!                if(m.ge.nlay)goto 88
946!!            end do
947!! 88         continue
948!!            if (m.lt.nlay) then
949!!                sigw=(w(l)-Mtot)/masse(m+1)
950!!                wq(l)=(MQtot + (w(l)-Mtot)* &
951!!                          (q(m+1)+0.5*(1.-sigw)*dzq(m+1)) )
952!!            else
953!!                w(l) = Mtot
954!!                wq(l) = MQtot
955!!            end if
956          end if ! (w(l).le.masse(l))
957
958         end if ! (w(l+1).le.0)
959
960       enddo ! l = lwmax+1,nlay-1
961
962! **********************************************************************
963!  Mixing ratio update after the vertical transport
964! **********************************************************************
965       do l = lwmax,nlay-1 !l = 1,nlay-1  ! loop different than when w>0
966
967         if ( (wq(l+1)-wq(l)) .lt. -(masse(l)*q(l)) .and. (abs(wq(l+1)).gt. 0.) .and.  (abs(wq(l)).gt. 0.) ) then
968           wq(l+1) = wq(l)-masse(l)*q(l)
969         end if
970
971         q(l)=q(l) +  (wq(l+1)-wq(l))/masse(l)
972
973       enddo
974
975
976      end subroutine van_leer   
977     
978!********************************************************************************
979      subroutine topmons_setup(ngrid)
980      ! Purpose:
981      ! 1) Fill the logical array contains_mons(:),
982      !    with contains_mons(ig)=True if there is
983      !    a mountain in the mesh ig
984      ! 2) Compute alpha_hmons(:) and hsummit(:)
985      use surfdat_h,only: phisfi,hmons,summit,base,&
986                          alpha_hmons,hsummit,contains_mons                                     
987      use comcstfi_h,only: pi,g
988      use planetwide_mod,only: planetwide_maxval, planetwide_minval
989      use geometry_mod,only: longitude_deg,latitude_deg,&
990                             boundslon,boundslat !boundslon/lat(ngrid,4) :
991                                                 !  |------------------------------|
992                                                 !  |north_west=2      north_east=1|
993                                                 !  |                              |
994                                                 !  |             (ig)             |
995                                                 !  |                              |
996                                                 !  |south_west=3      south_east=4|
997                                                 !  |------------------------------|
998                             
999      implicit none
1000      integer,intent(in) :: ngrid
1001     
1002      ! Local variables
1003      integer,parameter :: ntop_max = 19 ! total number of mounts written in the hmons list
1004      real lon_top(ntop_max),lat_top(ntop_max) ! coordinates of the mounts (in deg)
1005      ! Mountains list :
1006      ! Olympus Mons,Ascraeus Mons,Elysium Mons,Arsia Mons,Pavonis Mons,
1007      ! Hecates Tholus,Tharsis Tholus,Ceraunius Tholus,Alba Mons,Apollinaris Mons,
1008      ! Albor Tholus,Biblis Tholus,Anseris Mons,Ulysses Tholus,Aeolis Mons,
1009      ! Euripus Mons,Hadriacus Mons,Tyrrhenus Mons,Uranius Mons
1010      !
1011      ! NB: in 64x48 horiz. resolution, Biblis Tholus & Ulysses Tholus fall in the
1012      !     same mesh, hence only Biblis Tholus is kept by the alpha_hmons computation
1013      data lon_top/-134.,-104.5,146.9,-121.1,-113.4,&
1014                    150.2,-90.8,-97.4,-109.6,174.4,&
1015                    150.4,-124.6,86.6,-121.6,137.8,&
1016                        105.,91.8,106.5,-92.2/
1017      data lat_top/18.4,11.8,24.8,-8.4,-0.8,&
1018                   31.8,13.4,24.,40.4,-9.3,&
1019                   18.8,2.6,-29.8,2.9,-5.4,&
1020                   -44.8,-32.1,-21.1,26.8/
1021      integer,parameter :: ntop = 19 ! the topmons scheme is limited to the first ntop mounts
1022      real :: boundslon_deg(4),boundslat_deg(4)
1023      real :: hmax,hmin
1024      integer :: ig,itop
1025     
1026     
1027     
1028      IF (ngrid.gt.1) THEN     
1029        ! Sanity check
1030        if (ntop.gt.ntop_max) then
1031          call abort_physic("topmons_setup","Number of mountains ntop greater than ntop_max",1)
1032        endif
1033
1034        ! Determine contains_mons
1035        contains_mons(:)=.false.
1036
1037        do ig=1,ngrid
1038          boundslon_deg(:)=boundslon(ig,:)/pi*180.
1039          boundslat_deg(:)=boundslat(ig,:)/pi*180.
1040
1041          do itop=1,ntop
1042            if ( (lon_top(itop).gt.boundslon_deg(2)).and.(lon_top(itop).lt.boundslon_deg(1)) &
1043            .and.(lat_top(itop).gt.boundslat_deg(3)).and.(lat_top(itop).lt.boundslat_deg(2)) ) then
1044              contains_mons(ig)=.true.
1045              write(*,*) "topmons_setup: Found a mount at:"
1046              write(*,*) "(",boundslon_deg(2),",",boundslat_deg(2),")  (",boundslon_deg(1),",",boundslat_deg(1),")"
1047              write(*,*) "             ((",lon_top(itop),",",lat_top(itop),"))"
1048              write(*,*) "(",boundslon_deg(3),",",boundslat_deg(3),")  (",boundslon_deg(4),",",boundslat_deg(4),")"
1049            endif
1050          enddo
1051        enddo
1052
1053        ! Compute alpha_hmons
1054        call planetwide_maxval(hmons,hmax)
1055        call planetwide_minval(hmons,hmin)
1056        do ig=1,ngrid
1057          if (contains_mons(ig)) then
1058          ! the mesh ig contains a mountain
1059            alpha_hmons(ig)= 0.5*(hmons(ig)-hmin)/(hmax-hmin)
1060            ! Sanity check
1061            if (alpha_hmons(ig).le.0) then
1062              call abort_physic("topmons_setup","ERROR: alpha_hmons cannot be <0 "//&
1063                                "if the mesh contains a mountain. Please check your "//&
1064                                "formula or your start files.",1)
1065            endif
1066          else
1067          ! the mesh ig doesn't contain a mountain
1068            alpha_hmons(ig)= 0
1069          endif
1070        enddo
1071
1072        ! Compute hsummit
1073        hsummit(:)=summit(:)-phisfi(:)/g
1074     
1075      ELSE ! 1D case
1076            hmin=0.
1077            hmax=23162.1 !set here the height of the sub-grid scale topography
1078            do ig=1,ngrid               
1079              alpha_hmons(ig)= (hmons(ig)-hmin)/(hmax-hmin) !0.1*(hmons(ig)-hmin)/(hmax-hmin)
1080              print*,"1D, hmons=",hmons(ig),"alpha=",alpha_hmons(ig)
1081            enddo
1082           
1083            hsummit(:)=14000.
1084      ENDIF ! (ngrid.gt.1)
1085     
1086      end subroutine topmons_setup
1087!********************************************************************************   
1088     
1089      END MODULE topmons_mod
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