Merge remote-tracking branch 'origin/release-v4.6.1'
[WRF.git] / phys / module_shcu_nscv.F
blobaa99b004b0cca18f90559d38205c06fe7667dd7b
5 MODULE module_shcu_nscv
6 CONTAINS
7 !-------------------------------------------------------------------------------
8    subroutine shcu_nscv(dt,p3di,p3d,pi3d,qc3d,qi3d,rho3d,                      &
9                      qv3d,t3d,raincv,xland,dz8w,w,u3d,v3d,                     &
10                      hpbl,hfx,qfx,                                             &
11                      mp_physics,                                               &
12                      pgcon,                                                    &
13                      cp,cliq,cpv,g,xlv,r_d,r_v,ep_1,ep_2,                      &
14                      cice,xls,psat,f_qi,f_qc,                                  &
15                      rthshten,rqvshten,rqcshten,rqishten,                      &
16                      rushten,rvshten,                                          &
17                      pratesh,hbot,htop,                                        &
18                      ids,ide, jds,jde, kds,kde,                                &
19                      ims,ime, jms,jme, kms,kme,                                &
20                      its,ite, jts,jte, kts,kte)
21 !-------------------------------------------------------------------------------
22    implicit none
23 !-------------------------------------------------------------------------------
24 !-- dt          time step (s)
25 !-- p3di        3d pressure (pa) at interface level
26 !-- p3d         3d pressure (pa)
27 !-- pi3d        3d exner function (dimensionless)
28 !-- z           height above sea level (m)
29 !-- qc3d        cloud water mixing ratio (kg/kg)
30 !-- qi3d        cloud ice mixing ratio (kg/kg)
31 !-- qv3d        3d water vapor mixing ratio (kg/kg)
32 !-- t3d         temperature (k)
33 !-- w           vertical velocity (m/s)
34 !-- dz8w        dz between full levels (m)
35 !-- u3d         3d u-velocity interpolated to theta points (m/s)
36 !-- v3d         3d v-velocity interpolated to theta points (m/s)
37 !-- ids         start index for i in domain 
38 !-- ide         end index for i in domain
39 !-- jds         start index for j in domain
40 !-- jde         end index for j in domain
41 !-- kds         start index for k in domain
42 !-- kde         end index for k in domain
43 !-- ims         start index for i in memory
44 !-- ime         end index for i in memory
45 !-- jms         start index for j in memory
46 !-- jme         end index for j in memory
47 !-- kms         start index for k in memory
48 !-- kme         end index for k in memory 
49 !-- its         start index for i in tile
50 !-- ite         end index for i in tile
51 !-- jts         start index for j in tile
52 !-- jte         end index for j in tile
53 !-- kts         start index for k in tile
54 !-- kte         end index for k in tile
55 !-------------------------------------------------------------------------------
56    integer,  intent(in   )   ::       ids,ide, jds,jde, kds,kde,               &
57                                       ims,ime, jms,jme, kms,kme,               &
58                                       its,ite, jts,jte, kts,kte
59    real,     intent(in   )   ::      cp,cliq,cpv,g,xlv,r_d,r_v,ep_1,ep_2,      &
60                                      cice,xls,psat
61    real,     intent(in   )   ::      dt
62    real,     optional, intent(in ) :: pgcon
63    real,     dimension( ims:ime, kms:kme, jms:jme ),optional                  ,&
64              intent(inout)   ::                                       rthshten,&
65                                                                        rushten,&
66                                                                        rvshten,&
67                                                                       rqcshten,&
68                                                                       rqishten,&
69                                                                       rqvshten
70    logical, optional ::                                              F_QC,F_QI
71    real,     dimension( ims:ime, kms:kme, jms:jme )                           ,&
72              intent(in   )   ::                                           qv3d,&
73                                                                           qc3d,&
74                                                                           qi3d,&
75                                                                          rho3d,&
76                                                                            p3d,&
77                                                                           pi3d,&
78                                                                            t3d
79    real,     dimension( ims:ime, kms:kme, jms:jme )                           ,&
80              intent(in   )   ::                                           p3di
81    real,     dimension( ims:ime, kms:kme, jms:jme )                           ,&
82              intent(in   )   ::                                           dz8w,&  
83                                                                              w
84    real,     dimension( ims:ime, jms:jme )                                   , &
85              intent(in   )   ::                                         raincv
86    real,     dimension( ims:ime, jms:jme )                                    ,&
87              intent(inout) ::                                          pratesh
88    real,     dimension( ims:ime, jms:jme )                                    ,&
89              intent(out) ::                                               hbot,&
90                                                                           htop
92    real,     dimension( ims:ime, jms:jme )                                    ,&
93              intent(in   ) ::                                            xland
95    real,     dimension( ims:ime, kms:kme, jms:jme )                           ,&
96               intent(in   )   ::                                           u3d,&
97                                                                            v3d
99    real,     dimension( ims:ime, jms:jme )                                    ,&
100               intent(in   )   ::                                          hpbl,&
101                                                                            hfx,&
102                                                                            qfx
103    integer,   intent(in   )   ::                                    mp_physics
104    integer :: ncloud
106 !  local
108    real,   dimension( its:ite, kts:kte )  ::                               del,&
109                                                                          prsll,&
110                                                                            dot,&
111                                                                             u1,&
112                                                                             v1,&
113                                                                             t1,&
114                                                                            q1, &
115                                                                            qc2,&
116                                                                            qi2
117    real,   dimension( its:ite, kts:kte+1 )  ::                           prsii,&
118                                                                            zii
119    real,   dimension( its:ite, kts:kte )  ::                               zll 
120    real,   dimension( its:ite)  ::                                         rain
121    real ::                                                          delt,rdelt
122    integer, dimension (its:ite)  ::                                       kbot,&
123                                                                           ktop,&
124                                                                           icps
125    real :: pgcon_use
126    integer ::  i,j,k,kp
128 ! microphysics scheme --> ncloud 
130    if (mp_physics .eq. 0) then
131      ncloud = 0
132    elseif ( mp_physics .eq. 1 .or. mp_physics .eq. 3 ) then
133      ncloud = 1
134    else
135      ncloud = 2
136    endif
138    if(present(pgcon)) then
139      pgcon_use = pgcon
140    else
141 !    pgcon_use  = 0.7     ! Gregory et al. (1997, QJRMS)
142      pgcon_use  = 0.55    ! Zhang & Wu (2003,JAS)
143      ! 0.55 is a physically-based value used by GFS
144      ! HWRF uses 0.2, for model tuning purposes
145    endif
147    delt=dt
148    rdelt=1./delt
150 ! outer most J_loop
152    do j = jts,jte
153      do k = kts,kte
154        kp = k+1
155        do i = its,ite
156          dot(i,k) = -5.0e-4*g*rho3d(i,k,j)*(w(i,k,j)+w(i,kp,j))
157          prsll(i,k)=p3d(i,k,j)*0.001
158          prsii(i,k)=p3di(i,k,j)*0.001
159        enddo
160      enddo
162      do i = its,ite
163        prsii(i,kte+1)=p3di(i,kte+1,j)*0.001
164      enddo
166      do i = its,ite
167        zii(i,1)=0.0
168      enddo     
170      do k = kts,kte                                            
171        do i = its,ite
172          zii(i,k+1)=zii(i,k)+dz8w(i,k,j)
173        enddo
174      enddo
176      do k = kts,kte                
177        do i = its,ite                                                  
178          zll(i,k)=0.5*(zii(i,k)+zii(i,k+1))
179        enddo                                                         
180      enddo
182      do k = kts,kte
183        do i = its,ite
184          del(i,k)=prsll(i,k)*g/r_d*dz8w(i,k,j)/t3d(i,k,j)
185          u1(i,k)=u3d(i,k,j)
186          v1(i,k)=v3d(i,k,j)
187          q1(i,k)=qv3d(i,k,j)
188 !        q1(i,k)=qv3d(i,k,j)/(1.+qv3d(i,k,j))
189          t1(i,k)=t3d(i,k,j)
190          qi2(i,k) = qi3d(i,k,j)
191          qc2(i,k) = qc3d(i,k,j)
192        enddo
193      enddo
195      icps(:) = 0
196      do i = its,ite
197        if(raincv(i,j) .gt. 1.e-30) icps(i)=1
198      enddo
200 ! NCEP SCV
202      call nscv2d(delt=delt,del=del(its,kts),prsl=prsll(its,kts),               &
203               prsi=prsii(its,kts),prslk=pi3d(ims,kms,j),zl=zll(its,kts),       &
204               ncloud=ncloud,qc2=qc2(its,kts),qi2=qi2(its,kts),                 &
205               q1=q1(its,kts),t1=t1(its,kts),rain=rain(its),                    &
206               kbot=kbot(its),ktop=ktop(its),                                   &
207               icps=icps(its),                                                  &
208               slimsk=xland(ims,j),dot=dot(its,kts),                            &
209               u1=u1(its,kts), v1=v1(its,kts),                                  &
210               cp_=cp,cliq_=cliq,cvap_=cpv,g_=g,hvap_=xlv,                      &
211               rd_=r_d,rv_=r_v,fv_=ep_1,ep2=ep_2,                               &
212               cice=cice,xls=xls,psat=psat,                                     &
213               hpbl=hpbl(ims,j),hfx=hfx(ims,j),qfx=qfx(ims,j),                  &
214               pgcon=pgcon_use,                                                 &
215               ids=ids,ide=ide, jds=jds,jde=jde, kds=kds,kde=kde,               &
216               ims=ims,ime=ime, jms=jms,jme=jme, kms=kms,kme=kme,               &
217               its=its,ite=ite, jts=jts,jte=jte, kts=kts,kte=kte   )
219      do i = its,ite
220        pratesh(i,j) = rain(i)*1000./dt
221        hbot(i,j) = kbot(i)
222        htop(i,j) = ktop(i)
223      enddo
225      IF(PRESENT(rthshten).AND.PRESENT(rqvshten)) THEN
226        do k = kts,kte
227          do i = its,ite
228            rthshten(i,k,j)=(t1(i,k)-t3d(i,k,j))/pi3d(i,k,j)*rdelt
229            rqvshten(i,k,j)=(q1(i,k)-qv3d(i,k,j))*rdelt
230          enddo
231        enddo
232      ENDIF
234      IF(PRESENT(rushten).AND.PRESENT(rvshten)) THEN
235        do k = kts,kte
236          do i = its,ite
237            rushten(i,k,j)=(u1(i,k)-u3d(i,k,j))*rdelt
238            rvshten(i,k,j)=(v1(i,k)-v3d(i,k,j))*rdelt
239          enddo
240        enddo
241      ENDIF
243      IF(PRESENT( rqishten )) THEN
244        IF ( F_QI ) THEN
245          do k = kts,kte
246            do i = its,ite
247              rqishten(i,k,j)=(qi2(i,k)-qi3d(i,k,j))*rdelt
248            enddo
249          enddo
250        ENDIF
251      ENDIF
253      IF(PRESENT( rqcshten )) THEN
254        IF ( F_QC ) THEN
255          do k = kts,kte
256            do i = its,ite
257              rqcshten(i,k,j)=(qc2(i,k)-qc3d(i,k,j))*rdelt
258            enddo
259          enddo
260        ENDIF
261      ENDIF
263    enddo ! outer most J_loop
265    return
266    end subroutine shcu_nscv
267 !-------------------------------------------------------------------------------
269 !-------------------------------------------------------------------------------
270 ! NCEP SCV (Shallow Convection Scheme)
271 !-------------------------------------------------------------------------------
272    subroutine nscv2d(delt,del,prsl,prsi,prslk,zl,                              &
273                  ncloud,qc2,qi2,q1,t1,rain,kbot,ktop,                          &
274                  icps,                                                         &
275                  slimsk,dot,u1,v1,                                             &
276                  cp_,cliq_,cvap_,g_,hvap_,rd_,rv_,fv_,ep2,                     &
277                  cice,xls,psat,                                                &
278                  hpbl,hfx,qfx,                                                 &
279                  pgcon,                                                        &
280                  ids,ide, jds,jde, kds,kde,                                    &
281                  ims,ime, jms,jme, kms,kme,                                    &
282                  its,ite, jts,jte, kts,kte)
283 !-------------------------------------------------------------------------------
285 ! subprogram:    nscv2d    computes shallow-convective heating and moistening
287 ! abstract: computes non-precipitating convective heating and moistening 
288 !   using a one cloud type arakawa-schubert convection scheme as in the ncep
289 !   sas scheme. the scheme has been operational at ncep gfs model since july 2010
290 !   the scheme includes updraft and downdraft effects, but the cloud depth is 
291 !   limited less than 150 hpa. 
293 ! developed by jong-il han and hua-lu pan 
294 !   implemented into wrf by jihyeon jang and songyou hong
295 !   module with cpp-based options is available in grims
297 ! program history log:
298 !   10-07-01 jong-il han  initial operational implementation at ncep gfs
299 !   10-12-01 jihyeon jang implemented into wrf
300 !   18-05-04 jihyeon jang seperated the shallow convection module from nsas
302 ! subprograms called:
303 !   fpvs     - function to compute saturation vapor pressure
305 ! references:
306 !   han and pan (2011, wea. forecasting)
307 !   
308 !-------------------------------------------------------------------------------
309    implicit none
310 !-------------------------------------------------------------------------------
312 !  in/out variables
314    integer         ::  ids,ide, jds,jde, kds,kde,                              &
315                        ims,ime, jms,jme, kms,kme,                              &
316                        its,ite, jts,jte, kts,kte
317    real            ::  cp_,cliq_,cvap_,g_,hvap_,rd_,rv_,fv_,ep2
318    real            ::  pi_,qmin_,t0c_
319    real            ::  cice,xlv0,xls,psat
321    real            ::  delt
322    real            ::  del(its:ite,kts:kte),                                   &
323                        prsl(its:ite,kts:kte),prslk(ims:ime,kms:kme),           &
324                        prsi(its:ite,kts:kte+1),zl(its:ite,kts:kte)
325    integer         ::  ncloud
326    real            ::  slimsk(ims:ime)
327    real            ::  dot(its:ite,kts:kte)
328    real            ::  hpbl(ims:ime)
329    real            ::  rcs
330    real            ::  hfx(ims:ime),qfx(ims:ime)
332    real            ::  qi2(its:ite,kts:kte),qc2(its:ite,kts:kte)
333    real            ::  q1(its:ite,kts:kte),                                    &
334                        t1(its:ite,kts:kte),                                    &
335                        u1(its:ite,kts:kte),                                    &
336                        v1(its:ite,kts:kte)
337    integer         ::  icps(its:ite)
339    real            ::  rain(its:ite)
340    integer         ::  kbot(its:ite),ktop(its:ite)
342 !  local variables and arrays
344    integer         ::  i,j,indx, jmn, k, kk, km1
345    integer         ::  kpbl(its:ite)
347    real            ::  dellat,                                                 &
348                        desdt,   deta,    detad,   dg,                          &
349                        dh,      dhh,     dlnsig,  dp,                          &
350                        dq,      dqsdp,   dqsdt,   dt,                          &
351                        dt2,     dtmax,   dtmin,                                &
352                        dv1h,    dv2h,    dv3h,                                 &
353                        dv1q,    dv2q,    dv3q,                                 &
354                        dv1u,    dv2u,    dv3u,                                 &
355                        dv1v,    dv2v,    dv3v,                                 &
356                        dz,      dz1,     e1,      clam,                        &
357                        aafac,                                                  &
358                        es,      etah,                                          &
359                        evef,    evfact,  evfactl,                              &
360                        factor,  fjcap,                                         &
361                        gamma,   pprime,  betaw,                                &
362                        qlk,     qrch,    qs,                                   &
363                        rfact,   shear,   tem1,                                 &
364                        tem2,    val,     val1,                                 &
365                        val2,    w1,      w1l,     w1s,                         &
366                        w2,      w2l,     w2s,     w3,                          &
367                        w3l,     w3s,     w4,      w4l,                         &
368                        w4s,     tem,     ptem,    ptem1,                       &
369                        pgcon
371    integer         ::  kb(its:ite), kbcon(its:ite), kbcon1(its:ite),           &
372                        ktcon(its:ite), ktcon1(its:ite),                        &
373                        kbm(its:ite), kmax(its:ite)
375    real            ::  aa1(its:ite),                                           &
376                        delhbar(its:ite), delq(its:ite),                        &
377                        delq2(its:ite),   delqev(its:ite), rntot(its:ite),      &
378                        delqbar(its:ite), deltbar(its:ite),                     &
379                        deltv(its:ite),   edt(its:ite),                         &
380                        wstar(its:ite),   sflx(its:ite),                        &
381                        pdot(its:ite),    po(its:ite,kts:kte),                  &
382                        qcond(its:ite),   qevap(its:ite),  hmax(its:ite),       &
383                        vshear(its:ite),                                        &
384                        xlamud(its:ite),  xmb(its:ite),    xmbmax(its:ite)
385    real            ::  delubar(its:ite), delvbar(its:ite)
387    real            ::  cincr
389    real            ::  thx(its:ite, kts:kte)
390    real            ::  rhox(its:ite)
391    real            ::  tvcon
393    real            ::  p(its:ite,kts:kte),       to(its:ite,kts:kte),          &
394                        qo(its:ite,kts:kte),      qeso(its:ite,kts:kte),        &
395                        uo(its:ite,kts:kte),      vo(its:ite,kts:kte)
397 !  cloud water
399    real            ::  qlko_ktcon(its:ite),     dellal(its:ite,kts:kte),       &
400                        dbyo(its:ite,kts:kte),                                  &
401                        xlamue(its:ite,kts:kte),                                &
402                        heo(its:ite,kts:kte),    heso(its:ite,kts:kte),         &
403                        dellah(its:ite,kts:kte), dellaq(its:ite,kts:kte),       &
404                        dellau(its:ite,kts:kte), dellav(its:ite,kts:kte),       &
405                        ucko(its:ite,kts:kte),   vcko(its:ite,kts:kte),         &
406                        hcko(its:ite,kts:kte),   qcko(its:ite,kts:kte),         &
407                        eta(its:ite,kts:kte),    zi(its:ite,kts:kte+1),         &
408                        pwo(its:ite,kts:kte)
410    logical         ::  totflg, cnvflg(its:ite), flg(its:ite)
412 !  physical parameters
414    real,parameter  ::  c0=.002,c1=5.e-4
415    real,parameter  ::  cincrmax=180.,cincrmin=120.,dthk=25.
416    real            ::  el2orc,fact1,fact2,eps
417    real,parameter  ::  h1=0.33333333
418    real,parameter  ::  tf=233.16, tcr=263.16, tcrf=1.0/(tcr-tf)
419 !-------------------------------------------------------------------------------
420    pi_ = 3.14159
421    qmin_ = 1.0e-30
422    t0c_ = 273.15
423    xlv0 = hvap_
424    km1 = kte - 1
426 !  compute surface buoyancy flux
428    do k = kts,kte
429      do i = its,ite
430        thx(i,k) = t1(i,k)/prslk(i,k)
431      enddo
432    enddo
434    do i = its,ite
435      tvcon = (1.+fv_*q1(i,1))
436      rhox(i) = prsl(i,1)*1.e3/(rd_*t1(i,1)*tvcon)
437    enddo
439    do i = its,ite
440 !    sflx(i) = heat(i)+fv_*t1(i,1)*evap(i)
441      sflx(i) = hfx(i)/rhox(i)/cp_ + qfx(i)/rhox(i)*fv_*thx(i,1)
442    enddo
444 !  initialize arrays
446    do i = its,ite
447      cnvflg(i) = .true.
448      if(icps(i).eq.1) cnvflg(i) = .false.
449      if(sflx(i).le.0.) cnvflg(i) = .false.
450      if(cnvflg(i)) then
451        kbot(i)=kte+1
452        ktop(i)=0
453      endif
454      rain(i)=0.
455      kbcon(i)=kte
456      ktcon(i)=1
457      kb(i)=kte
458      pdot(i) = 0.
459      qlko_ktcon(i) = 0.
460      edt(i)  = 0.
461      aa1(i)  = 0.
462      vshear(i) = 0.
463    enddo
465    totflg = .true.
466    do i = its,ite
467      totflg = totflg .and. (.not. cnvflg(i))
468    enddo
469    if(totflg) return
471    dt2   =  delt
472    val   =         1200.
473    dtmin = max(dt2, val )
474    val   =         3600.
475    dtmax = max(dt2, val )
477 !  model tunable parameters are all here
479    clam    = .3
480    aafac   = .1
481    betaw   = .03
482    evfact  = 0.3
483    evfactl = 0.3
484    val     = 1.
486 ! define miscellaneous values
488    el2orc = hvap_*hvap_/(rv_*cp_)
489    eps    = rd_/rv_ 
490    fact1  = (cvap_-cliq_)/rv_
491    fact2  = hvap_/rv_-fact1*t0c_
493    w1l     = -8.e-3
494    w2l     = -4.e-2
495    w3l     = -5.e-3
496    w4l     = -5.e-4
497    w1s     = -2.e-4
498    w2s     = -2.e-3
499    w3s     = -1.e-3
500    w4s     = -2.e-5
502 !  define top layer for search of the downdraft originating layer
503 !  and the maximum thetae for updraft
505    do i = its,ite
506      kbm(i)   = kte
507      kmax(i)  = kte
508    enddo
509 !     
510    do k = kts,kte
511      do i = its,ite
512        if (prsl(i,k).gt.prsi(i,1)*0.70) kbm(i) = k + 1
513        if (prsl(i,k).gt.prsi(i,1)*0.60) kmax(i) = k + 1
514      enddo
515    enddo
517    do i = its,ite
518      kbm(i)   = min(kbm(i),kmax(i))
519    enddo
521 !  hydrostatic height assume zero terr and compute
522 !  updraft entrainment rate as an inverse function of height
524    do k = kts+1,kte
525      do i = its,ite
526        zi(i,k) = 0.5*(zl(i,k-1)+zl(i,k))
527      enddo
528    enddo
530    do k = kts,km1
531      do i = its,ite
532        xlamue(i,k) = clam / zi(i,k+1)
533      enddo
534    enddo
536    do i = its,ite
537      xlamue(i,kte) = xlamue(i,km1)
538    enddo
540 !  pbl height
542    do i = its,ite
543      flg(i) = cnvflg(i)
544      kpbl(i)= 1
545    enddo
547    do k = kts+1,km1
548      do i = its,ite
549        if (flg(i).and.zl(i,k).le.hpbl(i)) then 
550          kpbl(i) = k
551        else
552          flg(i) = .false.
553        endif
554      enddo
555    enddo
557    do i = its,ite
558      kpbl(i)= min(kpbl(i),kbm(i))
559    enddo
561 !   convert surface pressure to mb from cb
563    rcs = 1.
564    do k = kts,kte
565      do i = its,ite
566        if (cnvflg(i) .and. k .le. kmax(i)) then
567          p(i,k) = prsl(i,k) * 10.0
568          eta(i,k)  = 1.
569          hcko(i,k) = 0.
570          qcko(i,k) = 0.
571          ucko(i,k) = 0.
572          vcko(i,k) = 0.
573          dbyo(i,k) = 0.
574          pwo(i,k)  = 0.
575          dellal(i,k) = 0.
576          to(i,k)   = t1(i,k)
577          qo(i,k)   = q1(i,k)
578          uo(i,k)   = u1(i,k) * rcs
579          vo(i,k)   = v1(i,k) * rcs
580        endif
581      enddo
582    enddo
585 !  column variables
586 !  p is pressure of the layer (mb)
587 !  t is temperature at t-dt (k)..tn
588 !  q is mixing ratio at t-dt (kg/kg)..qn
589 !  to is temperature at t+dt (k)... this is after advection and turbulan
590 !  qo is mixing ratio at t+dt (kg/kg)..q1
592    do k = kts, kte
593      do i=its,ite
594        if (cnvflg(i) .and. k .le. kmax(i)) then
595          qeso(i,k) = 0.01 * fpvs(to(i,k),1,rd_,rv_,cvap_,cliq_,cice,xlv0,xls,psat,t0c_)
596          qeso(i,k) = eps * qeso(i,k) / (p(i,k) + (eps-1.)*qeso(i,k))
597          val1      =             1.e-8
598          qeso(i,k) = max(qeso(i,k), val1)
599          val2      =           1.e-10
600          qo(i,k)   = max(qo(i,k), val2 )
601        endif
602      enddo
603    enddo
605 !  compute moist static energy
607    do k = kts,kte
608      do i=its,ite
609        if (cnvflg(i) .and. k .le. kmax(i)) then
610          tem       = g_ * zl(i,k) + cp_ * to(i,k)
611          heo(i,k)  = tem  + hvap_ * qo(i,k)
612          heso(i,k) = tem  + hvap_ * qeso(i,k)
613        endif
614      enddo
615    enddo
617 !  determine level with largest moist static energy within pbl
618 !  this is the level where updraft starts
620    do i=its,ite
621      if (cnvflg(i)) then
622        hmax(i) = heo(i,1)
623        kb(i) = 1
624      endif
625    enddo
627    do k = kts+1, kte
628      do i=its,ite
629        if (cnvflg(i).and.k.le.kpbl(i)) then
630          if(heo(i,k).gt.hmax(i)) then
631            kb(i)   = k
632            hmax(i) = heo(i,k)
633          endif
634        endif
635      enddo
636    enddo
638    do k = kts, km1
639      do i=its,ite
640        if (cnvflg(i) .and. k .le. kmax(i)-1) then
641          dz      = .5 * (zl(i,k+1) - zl(i,k))
642          dp      = .5 * (p(i,k+1) - p(i,k))
643          es = 0.01*fpvs(to(i,k+1),1,rd_,rv_,cvap_,cliq_,cice,xlv0,xls,psat,t0c_)
644          pprime  = p(i,k+1) + (eps-1.) * es
645          qs      = eps * es / pprime
646          dqsdp   = - qs / pprime
647          desdt   = es * (fact1 / to(i,k+1) + fact2 / (to(i,k+1)**2))
648          dqsdt   = qs * p(i,k+1) * desdt / (es * pprime)
649          gamma   = el2orc * qeso(i,k+1) / (to(i,k+1)**2)
650          dt      = (g_ * dz + hvap_ * dqsdp * dp) / (cp_ * (1. + gamma))
651          dq      = dqsdt * dt + dqsdp * dp
652          to(i,k) = to(i,k+1) + dt
653          qo(i,k) = qo(i,k+1) + dq
654          po(i,k) = .5 * (p(i,k) + p(i,k+1))
655        endif
656      enddo
657    enddo
659    do k = kts, km1
660      do i=its,ite
661        if (cnvflg(i) .and. k .le. kmax(i)-1) then
662          qeso(i,k)=0.01*fpvs(to(i,k),1,rd_,rv_,cvap_,cliq_,cice,xlv0,xls,psat,t0c_)
663          qeso(i,k) = eps * qeso(i,k) / (po(i,k) + (eps-1.) * qeso(i,k))
664          val1      =             1.e-8
665          qeso(i,k) = max(qeso(i,k), val1)
666          val2      =           1.e-10
667          qo(i,k)   = max(qo(i,k), val2 )
668          heo(i,k)  = .5 * g_ * (zl(i,k) + zl(i,k+1)) +                         &
669                         cp_ * to(i,k) + hvap_ * qo(i,k)
670          heso(i,k) = .5 * g_ * (zl(i,k) + zl(i,k+1)) +                         &
671                         cp_ * to(i,k) + hvap_ * qeso(i,k)
672          uo(i,k)   = .5 * (uo(i,k) + uo(i,k+1))
673          vo(i,k)   = .5 * (vo(i,k) + vo(i,k+1))
674        endif
675      enddo
676    enddo
678 !  look for the level of free convection as cloud base
680    do i=its,ite
681      flg(i)   = cnvflg(i)
682      if(flg(i)) kbcon(i) = kmax(i)
683    enddo
685    do k = kts+1, km1
686      do i=its,ite
687        if (flg(i).and.k.lt.kbm(i)) then
688          if(k.gt.kb(i).and.heo(i,kb(i)).gt.heso(i,k)) then
689            kbcon(i) = k
690            flg(i)   = .false.
691          endif
692        endif
693      enddo
694    enddo
696    do i=its,ite
697      if(cnvflg(i)) then
698        if(kbcon(i).eq.kmax(i)) cnvflg(i) = .false.
699      endif
700    enddo
702    totflg = .true.
703    do i=its,ite
704      totflg = totflg .and. (.not. cnvflg(i))
705    enddo
706    if(totflg) return
708 !  determine critical convective inhibition
709 !  as a function of vertical velocity at cloud base.
711    do i=its,ite
712      if(cnvflg(i)) then
713        pdot(i)  = 10.* dot(i,kbcon(i))
714      endif
715    enddo
717    do i=its,ite
718      if(cnvflg(i)) then
719        if(slimsk(i).eq.1.) then
720          w1 = w1l
721          w2 = w2l
722          w3 = w3l
723          w4 = w4l
724        else
725          w1 = w1s
726          w2 = w2s
727          w3 = w3s
728          w4 = w4s
729        endif
730        if(pdot(i).le.w4) then
731          ptem = (pdot(i) - w4) / (w3 - w4)
732        elseif(pdot(i).ge.-w4) then
733          ptem = - (pdot(i) + w4) / (w4 - w3)
734        else
735          ptem = 0.
736        endif
737        val1    =             -1.
738        ptem = max(ptem,val1)
739        val2    =             1.
740        ptem = min(ptem,val2)
741        ptem = 1. - ptem
742        ptem1= .5*(cincrmax-cincrmin)
743        cincr = cincrmax - ptem * ptem1
744        tem1 = p(i,kb(i)) - p(i,kbcon(i))
745        if(tem1.gt.cincr) then
746          cnvflg(i) = .false.
747        endif
748      endif
749    enddo
751    totflg = .true.
752    do i=its,ite
753      totflg = totflg .and. (.not. cnvflg(i))
754    enddo
755    if(totflg) return
757 !  assume the detrainment rate for the updrafts to be same as 
758 !  the entrainment rate at cloud base
760    do i = its,ite
761      if(cnvflg(i)) then
762        xlamud(i) = xlamue(i,kbcon(i))
763      endif
764    enddo
766 !  determine updraft mass flux for the subcloud layers
768    do k = km1, kts, -1
769      do i = its,ite
770        if (cnvflg(i)) then
771          if(k.lt.kbcon(i).and.k.ge.kb(i)) then
772            dz       = zi(i,k+2) - zi(i,k+1)
773            ptem     = 0.5*(xlamue(i,k)+xlamue(i,k+1))-xlamud(i)
774            eta(i,k) = eta(i,k+1) / (1. + ptem * dz)
775          endif
776        endif
777      enddo
778    enddo
780 !  compute mass flux above cloud base
782    do k = kts+1, km1
783      do i = its,ite
784        if(cnvflg(i))then
785          if(k.gt.kbcon(i).and.k.lt.kmax(i)) then
786            dz       = zi(i,k+1) - zi(i,k)
787            ptem     = 0.5*(xlamue(i,k)+xlamue(i,k-1))-xlamud(i)
788            eta(i,k) = eta(i,k-1) * (1 + ptem * dz)
789          endif
790        endif
791      enddo
792    enddo
794 !  compute updraft cloud property
796    do i = its,ite
797      if(cnvflg(i)) then
798        indx         = kb(i)
799        hcko(i,indx) = heo(i,indx)
800        ucko(i,indx) = uo(i,indx)
801        vcko(i,indx) = vo(i,indx)
802      endif
803    enddo
805    do k = kts+1, km1
806      do i = its,ite
807        if (cnvflg(i)) then
808          if(k.gt.kb(i).and.k.lt.kmax(i)) then
809            dz   = zi(i,k+1) - zi(i,k)
810            tem  = 0.5 * (xlamue(i,k)+xlamue(i,k-1)) * dz
811            tem1 = 0.5 * xlamud(i) * dz
812            factor = 1. + tem - tem1
813            ptem = 0.5 * tem + pgcon
814            ptem1= 0.5 * tem - pgcon
815            hcko(i,k) = ((1.-tem1)*hcko(i,k-1)+tem*0.5*                         &
816                        (heo(i,k)+heo(i,k-1)))/factor
817            ucko(i,k) = ((1.-tem1)*ucko(i,k-1)+ptem*uo(i,k)                     &
818                        +ptem1*uo(i,k-1))/factor
819            vcko(i,k) = ((1.-tem1)*vcko(i,k-1)+ptem*vo(i,k)                     &
820                        +ptem1*vo(i,k-1))/factor
821            dbyo(i,k) = hcko(i,k) - heso(i,k)
822          endif
823        endif
824      enddo
825    enddo
827 !   taking account into convection inhibition due to existence of
828 !    dry layers below cloud base
830    do i=its,ite
831      flg(i) = cnvflg(i)
832      kbcon1(i) = kmax(i)
833    enddo
835    do k = kts+1, km1
836      do i=its,ite
837        if (flg(i).and.k.lt.kbm(i)) then
838          if(k.ge.kbcon(i).and.dbyo(i,k).gt.0.) then
839            kbcon1(i) = k
840            flg(i)    = .false.
841          endif
842        endif
843      enddo
844    enddo
846    do i=its,ite
847      if(cnvflg(i)) then
848        if(kbcon1(i).eq.kmax(i)) cnvflg(i) = .false.
849      endif
850    enddo
852    do i=its,ite
853      if(cnvflg(i)) then
854        tem = p(i,kbcon(i)) - p(i,kbcon1(i))
855        if(tem.gt.dthk) then
856          cnvflg(i) = .false.
857        endif
858      endif
859    enddo
861    totflg = .true.
862    do i = its,ite
863      totflg = totflg .and. (.not. cnvflg(i))
864    enddo
865    if(totflg) return
867 !  determine first guess cloud top as the level of zero buoyancy
868 !    limited to the level of sigma=0.7
870    do i = its,ite
871      flg(i) = cnvflg(i)
872      if(flg(i)) ktcon(i) = kbm(i)
873    enddo
875    do k = kts+1, km1
876      do i=its,ite
877        if (flg(i).and.k .lt. kbm(i)) then
878          if(k.gt.kbcon1(i).and.dbyo(i,k).lt.0.) then
879            ktcon(i) = k
880            flg(i)   = .false.
881          endif
882        endif
883      enddo
884    enddo
886 !  specify upper limit of mass flux at cloud base
888    do i = its,ite
889      if(cnvflg(i)) then
890        k = kbcon(i)
891        dp = 1000. * del(i,k)
892        xmbmax(i) = dp / (g_ * dt2)
893      endif
894    enddo
896 !  compute cloud moisture property and precipitation
898    do i = its,ite
899      if (cnvflg(i)) then
900        aa1(i) = 0.
901        qcko(i,kb(i)) = qo(i,kb(i))
902      endif
903    enddo
905    do k = kts+1, km1
906      do i = its,ite
907        if (cnvflg(i)) then
908          if(k.gt.kb(i).and.k.lt.ktcon(i)) then
909            dz    = zi(i,k+1) - zi(i,k)
910            gamma = el2orc * qeso(i,k) / (to(i,k)**2)
911            qrch = qeso(i,k) + gamma * dbyo(i,k) / (hvap_ * (1. + gamma))
912            tem  = 0.5 * (xlamue(i,k)+xlamue(i,k-1)) * dz
913            tem1 = 0.5 * xlamud(i) * dz
914            factor = 1. + tem - tem1
915            qcko(i,k) = ((1.-tem1)*qcko(i,k-1)+tem*0.5*                         &
916                        (qo(i,k)+qo(i,k-1)))/factor
917            dq = eta(i,k) * (qcko(i,k) - qrch)
919 !          rhbar(i) = rhbar(i) + qo(i,k) / qeso(i,k)
921 !  below lfc check if there is excess moisture to release latent heat
923            if(k.ge.kbcon(i).and.dq.gt.0.) then
924              etah = .5 * (eta(i,k) + eta(i,k-1))
925              if(ncloud.gt.0) then
926                dp = 1000. * del(i,k)
927                qlk = dq / (eta(i,k) + etah * (c0 + c1) * dz)
928                dellal(i,k) = etah * c1 * dz * qlk * g_ / dp
929              else
930                qlk = dq / (eta(i,k) + etah * c0 * dz)
931              endif
932              aa1(i) = aa1(i) - dz * g_ * qlk
933              qcko(i,k)= qlk + qrch
934              pwo(i,k) = etah * c0 * dz * qlk
935            endif
936          endif
937        endif
938      enddo
939    enddo
941 !  calculate cloud work function
943    do k = kts+1, km1
944      do i = its,ite
945        if (cnvflg(i)) then
946          if(k.ge.kbcon(i).and.k.lt.ktcon(i)) then
947            dz1 = zl(i,k+1) - zl(i,k)        
948            gamma = el2orc * qeso(i,k) / (to(i,k)**2)
949            rfact =  1. + fv_ * cp_ * gamma * to(i,k) / hvap_
950            aa1(i) = aa1(i) + dz1 * (g_ / (cp_ * to(i,k)))                      &
951                   * dbyo(i,k) / (1. + gamma) * rfact
952            val = 0.
953            aa1(i)=aa1(i)+ dz1 * g_ * fv_ * max(val,(qeso(i,k) - qo(i,k)))
954          endif
955        endif
956      enddo
957    enddo
959    do i = its,ite
960      if(cnvflg(i).and.aa1(i).le.0.) cnvflg(i) = .false.
961    enddo
963    totflg = .true.
964    do i=its,ite
965      totflg = totflg .and. (.not. cnvflg(i))
966    enddo
967    if(totflg) return
969 !  estimate the convective overshooting as the level
970 !    where the [aafac * cloud work function] becomes zero,
971 !    which is the final cloud top limited to the level of sigma=0.7
973    do i = its,ite
974      if (cnvflg(i)) then
975        aa1(i) = aafac * aa1(i)
976      endif
977    enddo
979    do i = its,ite
980      flg(i) = cnvflg(i)
981      ktcon1(i) = kbm(i)
982    enddo
984    do k = kts+1,km1
985      do i = its,ite
986        if (flg(i)) then
987          if(k.ge.ktcon(i).and.k.lt.kbm(i)) then
988            dz1 = zl(i,k+1) - zl(i,k)
989            gamma = el2orc * qeso(i,k) / (to(i,k)**2)
990            rfact =  1. + fv_ * cp_ * gamma                                     &
991                    * to(i,k) / hvap_
992            aa1(i) = aa1(i) +                                                   &
993                    dz1 * (g_ / (cp_ * to(i,k)))                                &
994                    * dbyo(i,k) / (1. + gamma) * rfact
995            if(aa1(i).lt.0.) then
996              ktcon1(i) = k
997              flg(i) = .false.
998            endif
999          endif
1000        endif
1001      enddo
1002    enddo
1004 !  compute cloud moisture property, detraining cloud water
1005 !    and precipitation in overshooting layers
1007    do k = kts+1,km1
1008      do i = its,ite
1009        if (cnvflg(i)) then
1010          if(k.ge.ktcon(i).and.k.lt.ktcon1(i)) then
1011            dz    = zi(i,k+1) - zi(i,k)
1012            gamma = el2orc * qeso(i,k) / (to(i,k)**2)
1013            qrch = qeso(i,k)                                                    &
1014                 + gamma * dbyo(i,k) / (hvap_ * (1. + gamma))
1015            tem  = 0.5 * (xlamue(i,k)+xlamue(i,k-1)) * dz
1016            tem1 = 0.5 * xlamud(i) * dz
1017            factor = 1. + tem - tem1
1018            qcko(i,k) = ((1.-tem1)*qcko(i,k-1)+tem*0.5*                         &
1019                        (qo(i,k)+qo(i,k-1)))/factor
1020            dq = eta(i,k) * (qcko(i,k) - qrch)
1022 !  check if there is excess moisture to release latent heat
1024            if(dq.gt.0.) then
1025              etah = .5 * (eta(i,k) + eta(i,k-1))
1026              if(ncloud.gt.0) then
1027                dp = 1000. * del(i,k)
1028                qlk = dq / (eta(i,k) + etah * (c0 + c1) * dz)
1029                dellal(i,k) = etah * c1 * dz * qlk * g_ / dp
1030              else
1031                qlk = dq / (eta(i,k) + etah * c0 * dz)
1032              endif
1033              qcko(i,k) = qlk + qrch
1034              pwo(i,k) = etah * c0 * dz * qlk
1035            endif
1036          endif
1037        endif
1038      enddo
1039    enddo
1041 ! exchange ktcon with ktcon1
1043    do i = its,ite
1044      if(cnvflg(i)) then
1045        kk = ktcon(i)
1046        ktcon(i) = ktcon1(i)
1047        ktcon1(i) = kk
1048      endif
1049    enddo
1051 !  this section is ready for cloud water
1053    if(ncloud.gt.0) then
1055 !  compute liquid and vapor separation at cloud top
1057      do i = its,ite
1058        if(cnvflg(i)) then
1059          k = ktcon(i) - 1
1060          gamma = el2orc * qeso(i,k) / (to(i,k)**2)
1061          qrch = qeso(i,k)                                                      &
1062               + gamma * dbyo(i,k) / (hvap_ * (1. + gamma))
1063          dq = qcko(i,k) - qrch
1065 !  check if there is excess moisture to release latent heat
1067          if(dq.gt.0.) then
1068            qlko_ktcon(i) = dq
1069            qcko(i,k) = qrch
1070          endif
1071        endif
1072      enddo
1074    endif
1076 !--- compute precipitation efficiency in terms of windshear
1078    do i = its,ite
1079      if(cnvflg(i)) then
1080        vshear(i) = 0.
1081      endif
1082    enddo
1084    do k = kts+1,kte
1085      do i = its,ite
1086        if (cnvflg(i)) then
1087          if(k.gt.kb(i).and.k.le.ktcon(i)) then
1088            shear= sqrt((uo(i,k)-uo(i,k-1)) ** 2 + (vo(i,k)-vo(i,k-1)) ** 2)
1089            vshear(i) = vshear(i) + shear
1090          endif
1091        endif
1092      enddo
1093    enddo
1095    do i = its,ite
1096      if(cnvflg(i)) then
1097        vshear(i) = 1.e3 * vshear(i) / (zi(i,ktcon(i)+1)-zi(i,kb(i)+1))
1098        e1=1.591-.639*vshear(i)                                                 &
1099              +.0953*(vshear(i)**2)-.00496*(vshear(i)**3)
1100        edt(i)=1.-e1
1101        val =         .9
1102        edt(i) = min(edt(i),val)
1103        val =         .0
1104        edt(i) = max(edt(i),val)
1105      endif
1106    enddo
1108 !--- what would the change be, that a cloud with unit mass
1109 !--- will do to the environment?
1111    do k = kts,kte
1112      do i = its,ite
1113        if(cnvflg(i) .and. k .le. kmax(i)) then
1114          dellah(i,k) = 0.
1115          dellaq(i,k) = 0.
1116          dellau(i,k) = 0.
1117          dellav(i,k) = 0.
1118        endif
1119      enddo
1120    enddo
1122 !--- changed due to subsidence and entrainment
1124    do k = kts+1,km1
1125      do i = its,ite
1126        if (cnvflg(i)) then
1127          if(k.gt.kb(i).and.k.lt.ktcon(i)) then
1128            dp = 1000. * del(i,k)
1129            dz = zi(i,k+1) - zi(i,k)
1131            dv1h = heo(i,k)
1132            dv2h = .5 * (heo(i,k) + heo(i,k-1))
1133            dv3h = heo(i,k-1)
1134            dv1q = qo(i,k)
1135            dv2q = .5 * (qo(i,k) + qo(i,k-1))
1136            dv3q = qo(i,k-1)
1137            dv1u = uo(i,k)
1138            dv2u = .5 * (uo(i,k) + uo(i,k-1))
1139            dv3u = uo(i,k-1)
1140            dv1v = vo(i,k)
1141            dv2v = .5 * (vo(i,k) + vo(i,k-1))
1142            dv3v = vo(i,k-1)
1144            tem  = 0.5 * (xlamue(i,k)+xlamue(i,k-1))
1145            tem1 = xlamud(i)
1147            dellah(i,k) = dellah(i,k) +                                         &
1148           ( eta(i,k)*dv1h - eta(i,k-1)*dv3h                                    &
1149          -  tem*eta(i,k-1)*dv2h*dz                                             &
1150          +  tem1*eta(i,k-1)*.5*(hcko(i,k)+hcko(i,k-1))*dz ) *g_/dp
1152            dellaq(i,k) = dellaq(i,k) +                                         &
1153           ( eta(i,k)*dv1q - eta(i,k-1)*dv3q                                    &
1154          -  tem*eta(i,k-1)*dv2q*dz                                             &
1155          +  tem1*eta(i,k-1)*.5*(qcko(i,k)+qcko(i,k-1))*dz ) *g_/dp
1157            dellau(i,k) = dellau(i,k) +                                         &
1158           ( eta(i,k)*dv1u - eta(i,k-1)*dv3u                                    &
1159          -  tem*eta(i,k-1)*dv2u*dz                                             &
1160          +  tem1*eta(i,k-1)*.5*(ucko(i,k)+ucko(i,k-1))*dz                      &
1161          -  pgcon*eta(i,k-1)*(dv1u-dv3u) ) *g_/dp
1163            dellav(i,k) = dellav(i,k) +                                         &
1164           ( eta(i,k)*dv1v - eta(i,k-1)*dv3v                                    &
1165          -  tem*eta(i,k-1)*dv2v*dz                                             &
1166          +  tem1*eta(i,k-1)*.5*(vcko(i,k)+vcko(i,k-1))*dz                      &
1167          -  pgcon*eta(i,k-1)*(dv1v-dv3v) ) *g_/dp
1169          endif
1170        endif
1171      enddo
1172    enddo
1174 !------- cloud top
1176    do i = its,ite
1177      if(cnvflg(i)) then
1178        indx = ktcon(i)
1179        dp = 1000. * del(i,indx)
1180        dv1h = heo(i,indx-1)
1181        dellah(i,indx) = eta(i,indx-1) *                                        &
1182                        (hcko(i,indx-1) - dv1h) * g_ / dp
1183        dv1q = qo(i,indx-1)
1184        dellaq(i,indx) = eta(i,indx-1) *                                        &
1185                        (qcko(i,indx-1) - dv1q) * g_ / dp
1186        dv1u = uo(i,indx-1)
1187        dellau(i,indx) = eta(i,indx-1) *                                        &
1188                        (ucko(i,indx-1) - dv1u) * g_ / dp
1189        dv1v = vo(i,indx-1)
1190        dellav(i,indx) = eta(i,indx-1) *                                        &
1191                        (vcko(i,indx-1) - dv1v) * g_ / dp
1193 !  cloud water
1195        dellal(i,indx) = eta(i,indx-1) *                                        &
1196                        qlko_ktcon(i) * g_ / dp
1197      endif
1198    enddo
1200 !  mass flux at cloud base for shallow convection
1201 !  (Grant, 2001)
1203    do i= its,ite
1204      if(cnvflg(i)) then
1205        k = kbcon(i)
1206        ptem = g_*sflx(i)*hpbl(i)/t1(i,1)
1207        wstar(i) = ptem**h1
1208        tem = po(i,k)*100. / (rd_*t1(i,k))
1209        xmb(i) = betaw*tem*wstar(i)
1210        xmb(i) = min(xmb(i),xmbmax(i))
1211      endif
1212    enddo
1214    do k = kts,kte
1215      do i = its,ite
1216        if (cnvflg(i) .and. k .le. kmax(i)) then
1217          qeso(i,k)=0.01* fpvs(t1(i,k),1,rd_,rv_,cvap_,cliq_,cice,xlv0,xls,psat,t0c_)
1218          qeso(i,k) = eps * qeso(i,k) / (p(i,k) + (eps-1.)*qeso(i,k))
1219          val     =             1.e-8
1220          qeso(i,k) = max(qeso(i,k), val )
1221        endif
1222      enddo
1223    enddo
1225    do i = its,ite
1226      delhbar(i) = 0.
1227      delqbar(i) = 0.
1228      deltbar(i) = 0.
1229      delubar(i) = 0.
1230      delvbar(i) = 0.
1231      qcond(i) = 0.
1232    enddo
1234    do k = kts,kte
1235      do i = its,ite
1236        if (cnvflg(i)) then
1237          if(k.gt.kb(i).and.k.le.ktcon(i)) then
1238            dellat = (dellah(i,k) - hvap_ * dellaq(i,k)) / cp_
1239            t1(i,k) = t1(i,k) + dellat * xmb(i) * dt2
1240            q1(i,k) = q1(i,k) + dellaq(i,k) * xmb(i) * dt2
1241            tem = 1./rcs
1242            u1(i,k) = u1(i,k) + dellau(i,k) * xmb(i) * dt2 * tem
1243            v1(i,k) = v1(i,k) + dellav(i,k) * xmb(i) * dt2 * tem
1244            dp = 1000. * del(i,k)
1245            delhbar(i) = delhbar(i) + dellah(i,k)*xmb(i)*dp/g_
1246            delqbar(i) = delqbar(i) + dellaq(i,k)*xmb(i)*dp/g_
1247            deltbar(i) = deltbar(i) + dellat*xmb(i)*dp/g_
1248            delubar(i) = delubar(i) + dellau(i,k)*xmb(i)*dp/g_
1249            delvbar(i) = delvbar(i) + dellav(i,k)*xmb(i)*dp/g_
1250          endif
1251        endif
1252      enddo
1253    enddo
1255    do k = kts,kte
1256      do i = its,ite
1257        if (cnvflg(i)) then
1258          if(k.gt.kb(i).and.k.le.ktcon(i)) then
1259            qeso(i,k)=0.01* fpvs(t1(i,k),1,rd_,rv_,cvap_,cliq_,cice,xlv0,xls    &
1260                      ,psat,t0c_)
1261            qeso(i,k) = eps * qeso(i,k)/(p(i,k) + (eps-1.)*qeso(i,k))
1262            val     =             1.e-8
1263            qeso(i,k) = max(qeso(i,k), val )
1264          endif
1265        endif
1266      enddo
1267    enddo
1269    do i = its,ite
1270      rntot(i) = 0.
1271      delqev(i) = 0.
1272      delq2(i) = 0.
1273      flg(i) = cnvflg(i)
1274    enddo
1276    do k = kte,kts,-1
1277      do i = its,ite
1278        if (cnvflg(i)) then
1279          if(k.lt.ktcon(i).and.k.gt.kb(i)) then
1280            rntot(i) = rntot(i) + pwo(i,k) * xmb(i) * .001 * dt2
1281          endif
1282        endif
1283      enddo
1284    enddo
1286 ! evaporating rain
1288    do k = kte,kts,-1
1289      do i = its,ite
1290        if (k .le. kmax(i)) then
1291          deltv(i) = 0.
1292          delq(i) = 0.
1293          qevap(i) = 0.
1294          if(cnvflg(i)) then
1295            if(k.lt.ktcon(i).and.k.gt.kb(i)) then
1296              rain(i) = rain(i) + pwo(i,k) * xmb(i) * .001 * dt2
1297            endif
1298          endif
1299          if(flg(i).and.k.lt.ktcon(i)) then
1300            evef = edt(i) * evfact
1301            if(slimsk(i).eq.1.) evef=edt(i) * evfactl
1302            qcond(i) = evef * (q1(i,k) - qeso(i,k))                             &
1303                     / (1. + el2orc * qeso(i,k) / t1(i,k)**2)
1304            dp = 1000. * del(i,k)
1305            if(rain(i).gt.0..and.qcond(i).lt.0.) then
1306              qevap(i) = -qcond(i) * (1.-exp(-.32*sqrt(dt2*rain(i))))
1307              qevap(i) = min(qevap(i), rain(i)*1000.*g_/dp)
1308              delq2(i) = delqev(i) + .001 * qevap(i) * dp / g_
1309            endif
1310            if(rain(i).gt.0..and.qcond(i).lt.0..and.delq2(i).gt.rntot(i)) then
1311              qevap(i) = 1000.* g_ * (rntot(i) - delqev(i)) / dp
1312              flg(i) = .false.
1313            endif
1314            if(rain(i).gt.0..and.qevap(i).gt.0.) then
1315              tem  = .001 * dp / g_
1316              tem1 = qevap(i) * tem
1317              if(tem1.gt.rain(i)) then
1318                qevap(i) = rain(i) / tem
1319                rain(i) = 0.
1320              else
1321                rain(i) = rain(i) - tem1
1322              endif
1323              q1(i,k) = q1(i,k) + qevap(i)
1324              t1(i,k) = t1(i,k) - (hvap_/cp_) * qevap(i)
1325              deltv(i) = - (hvap_/cp_)*qevap(i)/dt2
1326              delq(i) =  + qevap(i)/dt2
1327              delqev(i) = delqev(i) + .001*dp*qevap(i)/g_
1328            endif
1329            dellaq(i,k) = dellaq(i,k) + delq(i) / xmb(i)
1330            delqbar(i) = delqbar(i) + delq(i)*dp/g_
1331            deltbar(i) = deltbar(i) + deltv(i)*dp/g_
1332          endif
1333        endif
1334      enddo
1335    enddo
1337    do i = its,ite
1338      if(cnvflg(i)) then
1339        if(rain(i).lt.0..or..not.flg(i)) rain(i) = 0.
1340        ktop(i) = ktcon(i)
1341        kbot(i) = kbcon(i)
1342        icps(i) = 0
1343      endif
1344    enddo
1346 ! cloud water
1348    if (ncloud.gt.0) then
1350      do k = kts,km1
1351        do i = its,ite
1352          if (cnvflg(i)) then
1353            if (k.ge.kbcon(i).and.k.le.ktcon(i)) then
1354              tem  = dellal(i,k) * xmb(i) * dt2
1355              tem1 = max(0.0, min(1.0, (tcr-t1(i,k))*tcrf))
1356              if (ncloud.ge.2) then
1357                qi2(i,k) = qi2(i,k) + tem * tem1            ! ice
1358                qc2(i,k) = qc2(i,k) + tem *(1.0-tem1)       ! water
1359              else
1360                qc2(i,k) = qc2(i,k) + tem
1361              endif
1362            endif
1363          endif
1364        enddo
1365      enddo
1367    endif
1369       end subroutine nscv2d
1370 !-------------------------------------------------------------------------------
1372 !-------------------------------------------------------------------------------
1373    REAL FUNCTION fpvs(t,ice,rd,rv,cvap,cliq,cice,hvap,hsub,psat,t0c)
1374 !-------------------------------------------------------------------------------
1375    IMPLICIT NONE
1376 !-------------------------------------------------------------------------------
1377    REAL :: t,rd,rv,cvap,cliq,cice,hvap,hsub,psat,t0c,dldt,xa,xb,dldti,         &
1378            xai,xbi,ttp,tr
1379    INTEGER :: ice
1381    ttp=t0c+0.01
1382    dldt=cvap-cliq
1383    xa=-dldt/rv
1384    xb=xa+hvap/(rv*ttp)
1385    dldti=cvap-cice
1386    xai=-dldti/rv
1387    xbi=xai+hsub/(rv*ttp)
1388    tr=ttp/t
1389    if(t.lt.ttp.and.ice.eq.1) then
1390      fpvs=psat*(tr**xai)*exp(xbi*(1.-tr))
1391    else
1392      fpvs=psat*(tr**xa)*exp(xb*(1.-tr))
1393    endif
1395    if (t.lt.180.) then
1396      tr=ttp/180.
1397      if(t.lt.ttp.and.ice.eq.1) then
1398        fpvs=psat*(tr**xai)*exp(xbi*(1.-tr))
1399      else
1400        fpvs=psat*(tr**xa)*exp(xb*(1.-tr))
1401      endif
1402    endif
1404    if (t.ge.330.) then
1405      tr=ttp/330
1406      if(t.lt.ttp.and.ice.eq.1) then
1407        fpvs=psat*(tr**xai)*exp(xbi*(1.-tr))
1408      else
1409        fpvs=psat*(tr**xa)*exp(xb*(1.-tr))
1410      endif
1411    endif
1413    END FUNCTION fpvs
1414 !-------------------------------------------------------------------------------
1416 !-------------------------------------------------------------------------------
1417    subroutine nscvinit(rthshten,rqvshten,rqcshten,rqishten,                    &
1418                       rushten,rvshten,                                         &
1419                       restart,p_qc,p_qi,p_first_scalar,                        &
1420                       allowed_to_read,                                         &
1421                       ids, ide, jds, jde, kds, kde,                            &
1422                       ims, ime, jms, jme, kms, kme,                            &
1423                       its, ite, jts, jte, kts, kte                  )
1424 !-------------------------------------------------------------------------------
1425    implicit none
1426 !-------------------------------------------------------------------------------
1427    logical , intent(in)           ::  allowed_to_read,restart
1428    integer , intent(in)           ::  ids, ide, jds, jde, kds, kde,            &
1429                                       ims, ime, jms, jme, kms, kme,            &
1430                                       its, ite, jts, jte, kts, kte
1431    integer , intent(in)           ::  p_first_scalar, p_qi, p_qc
1432    real,     dimension( ims:ime , kms:kme , jms:jme ) , intent(out) ::         &
1433                                                               rthshten,        &
1434                                                               rqvshten,        &
1435                                                                rushten,        &
1436                                                                rvshten,        &
1437                                                               rqcshten,        &
1438                                                               rqishten
1439    integer :: i, j, k, itf, jtf, ktf
1441    jtf=min0(jte,jde-1)
1442    ktf=min0(kte,kde-1)
1443    itf=min0(ite,ide-1)
1445    if(.not.restart)then
1446      do j = jts,jtf
1447        do k = kts,ktf
1448          do i = its,itf
1449            rthshten(i,k,j)=0.
1450            rqvshten(i,k,j)=0.
1451            rushten(i,k,j)=0.
1452            rvshten(i,k,j)=0.
1453          enddo
1454        enddo
1455      enddo
1457      if (p_qc .ge. p_first_scalar) then
1458        do j = jts,jtf
1459          do k = kts,ktf
1460            do i = its,itf
1461              rqcshten(i,k,j)=0.
1462            enddo
1463          enddo
1464        enddo
1465      endif
1467      if (p_qi .ge. p_first_scalar) then
1468        do j = jts,jtf
1469          do k = kts,ktf
1470            do i = its,itf
1471              rqishten(i,k,j)=0.
1472            enddo
1473          enddo
1474        enddo
1475      endif
1476    endif
1478    end subroutine nscvinit
1479 !-------------------------------------------------------------------------------
1481 END MODULE module_shcu_nscv