source: lmdz_wrf/trunk/WRFV3/phys/module_cu_camzm.F @ 354

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1#define WRF_PORT
2
3module module_cu_camzm
4
5!Based on zm_conv.F90 from CAM
6
7!---------------------------------------------------------------------------------
8! Purpose:
9!
10! Interface from Zhang-McFarlane convection scheme, includes evaporation of convective
11! precip from the ZM scheme
12!
13! Apr 2006: RBN: Code added to perform a dilute ascent for closure of the CM mass flux
14!                based on an entraining plume a la Raymond and Blythe (1992)
15!
16! Author: Byron Boville, from code in tphysbc
17! Ported from CAM to WRF by William.Gustafson@pnl.gov, Nov. 2009
18!   updated to CESM1_0_1, Nov. 2010
19!
20!---------------------------------------------------------------------------------
21
22  use shr_kind_mod,    only: r8 => shr_kind_r8
23  use cldwat,          only: cldwat_fice
24  use physconst,       only: cpair, epsilo, gravit, latice, latvap, tmelt, rair, &
25                             cpwv, cpliq, rh2o
26#ifndef WRF_PORT
27  use spmd_utils,      only: masterproc
28  use ppgrid,          only: pcols, pver, pverp
29
30  use abortutils,      only: endrun
31  use cam_logfile,     only: iulog
32
33#else
34  use module_cam_support, only: masterproc, &
35                                pcols, pver, pverp, &
36                                endrun, &
37                                iulog
38  use module_wrf_error
39#endif
40
41  implicit none
42
43  save
44  private                         ! Make default type private to the module
45!
46! PUBLIC: interfaces
47!
48  public zmconv_readnl            ! read zmconv_nl namelist
49  public zm_convi                 ! ZM schemea
50  public zm_convr                 ! ZM schemea
51  public zm_conv_evap             ! evaporation of precip from ZM schemea
52  public convtran                 ! convective transport
53  public momtran                  ! convective momentum transport
54
55!
56! Private data
57!
58   real(r8), parameter :: unset_r8 = huge(1.0_r8)
59   real(r8) :: zmconv_c0_lnd = unset_r8   
60   real(r8) :: zmconv_c0_ocn = unset_r8   
61   real(r8) :: zmconv_ke     = unset_r8   
62   real(r8) rl         ! wg latent heat of vaporization.
63   real(r8) cpres      ! specific heat at constant pressure in j/kg-degk.
64   real(r8), parameter :: capelmt = 70._r8  ! threshold value for cape for deep convection.
65   real(r8) :: ke           ! Tunable evaporation efficiency set from namelist input zmconv_ke
66   real(r8) :: c0_lnd       ! set from namelist input zmconv_c0_lnd
67   real(r8) :: c0_ocn       ! set from namelist input zmconv_c0_ocn
68   real(r8) tau   ! convective time scale
69   real(r8),parameter :: a = 21.656_r8
70   real(r8),parameter :: b = 5418._r8
71   real(r8),parameter :: c1 = 6.112_r8
72   real(r8),parameter :: c2 = 17.67_r8
73   real(r8),parameter :: c3 = 243.5_r8
74   real(r8) :: tfreez
75   real(r8) :: eps1
76     
77
78   logical :: no_deep_pbl ! default = .false.
79                          ! no_deep_pbl = .true. eliminates deep convection entirely within PBL
80   
81
82!moved from moistconvection.F90
83   real(r8) :: rgrav       ! reciprocal of grav
84   real(r8) :: rgas        ! gas constant for dry air
85   real(r8) :: grav        ! = gravit
86   real(r8) :: cp          ! = cpres = cpair
87   
88   integer  limcnv       ! top interface level limit for convection
89   real(r8),parameter ::  tiedke_add = 0.5_r8   
90contains
91
92subroutine zmconv_readnl(nlfile)
93#ifndef WRF_PORT
94   use namelist_utils,  only: find_group_name
95   use units,           only: getunit, freeunit
96   use mpishorthand
97#endif
98
99   character(len=*), intent(in) :: nlfile  ! filepath for file containing namelist input
100
101#ifndef WRF_PORT
102   ! Local variables
103   integer :: unitn, ierr
104   character(len=*), parameter :: subname = 'zmconv_readnl'
105
106   namelist /zmconv_nl/ zmconv_c0_lnd, zmconv_c0_ocn, zmconv_ke
107   !-----------------------------------------------------------------------------
108
109   if (masterproc) then
110      unitn = getunit()
111      open( unitn, file=trim(nlfile), status='old' )
112      call find_group_name(unitn, 'zmconv_nl', status=ierr)
113      if (ierr == 0) then
114         read(unitn, zmconv_nl, iostat=ierr)
115         if (ierr /= 0) then
116            call endrun(subname // ':: ERROR reading namelist')
117         end if
118      end if
119      close(unitn)
120      call freeunit(unitn)
121
122      ! set local variables
123      c0_lnd = zmconv_c0_lnd
124      c0_ocn = zmconv_c0_ocn
125      ke = zmconv_ke
126
127   end if
128
129#ifdef SPMD
130   ! Broadcast namelist variables
131   call mpibcast(c0_lnd,            1, mpir8,  0, mpicom)
132   call mpibcast(c0_ocn,            1, mpir8,  0, mpicom)
133   call mpibcast(ke,                1, mpir8,  0, mpicom)
134#endif
135
136#else
137! WRF_PORT currently uses hard-wired values for the namelist input. The
138! values could easily be setup to come from the Registry in the future.
139! The hard-wired values are the defaults for the fv core. They should be
140! verified by somebody knowledgable on the matter.
141   c0_lnd = 0.0035d0
142   c0_ocn = 0.0035d0
143   ke     = 1.0e-6
144#endif
145
146end subroutine zmconv_readnl
147
148
149subroutine zm_convi(limcnv_in, no_deep_pbl_in)
150
151#ifndef WRF_PORT
152   use dycore,       only: dycore_is, get_resolution
153#endif
154
155   integer, intent(in)           :: limcnv_in       ! top interface level limit for convection
156   logical, intent(in), optional :: no_deep_pbl_in  ! no_deep_pbl = .true. eliminates ZM convection entirely within PBL
157
158   ! local variables
159   character(len=32)   :: hgrid           ! horizontal grid specifier
160
161   ! Initialization of ZM constants
162   limcnv = limcnv_in
163   tfreez = tmelt
164   eps1   = epsilo
165   rl     = latvap
166   cpres  = cpair
167   rgrav  = 1.0_r8/gravit
168   rgas   = rair
169   grav   = gravit
170   cp     = cpres
171
172   if ( present(no_deep_pbl_in) )  then
173      no_deep_pbl = no_deep_pbl_in
174   else
175      no_deep_pbl = .false.
176   endif
177
178   ! tau=4800. were used in canadian climate center. however, in echam3 t42,
179   ! convection is too weak, thus adjusted to 2400.
180
181#ifndef WRF_PORT
182   hgrid = get_resolution()
183#endif
184   tau = 3600._r8
185
186   if ( masterproc ) then
187      write(iulog,*) 'tuning parameters zm_convi: tau',tau
188#ifdef WRF_PORT
189      call wrf_debug(100,iulog)
190#endif
191      write(iulog,*) 'tuning parameters zm_convi: c0_lnd',c0_lnd, ', c0_ocn', c0_ocn
192#ifdef WRF_PORT
193      call wrf_debug(100,iulog)
194#endif
195      write(iulog,*) 'tuning parameters zm_convi: ke',ke
196#ifdef WRF_PORT
197      call wrf_debug(100,iulog)
198#endif
199      write(iulog,*) 'tuning parameters zm_convi: no_deep_pbl',no_deep_pbl
200#ifdef WRF_PORT
201      call wrf_debug(100,iulog)
202   endif
203#endif
204
205   if (masterproc) then
206      write(iulog,*)'**** ZM: DILUTE Buoyancy Calculation ****'
207#ifdef WRF_PORT
208      call wrf_debug(100,iulog)
209#endif
210   end if
211
212end subroutine zm_convi
213
214
215
216subroutine zm_convr(lchnk   ,ncol    , &
217                    t       ,qh      ,prec    ,jctop   ,jcbot   , &
218                    pblh    ,zm      ,geos    ,zi      ,qtnd    , &
219                    heat    ,pap     ,paph    ,dpp     , &
220                    delt    ,mcon    ,cme     ,cape    , &
221                    tpert   ,dlf     ,pflx    ,zdu     ,rprd    , &
222                    mu      ,md      ,du      ,eu      ,ed      , &
223                    dp      ,dsubcld ,jt      ,maxg    ,ideep   , &
224                    lengath ,ql      ,rliq    ,landfrac)
225!-----------------------------------------------------------------------
226!
227! Purpose:
228! Main driver for zhang-mcfarlane convection scheme
229!
230! Method:
231! performs deep convective adjustment based on mass-flux closure
232! algorithm.
233!
234! Author:guang jun zhang, m.lazare, n.mcfarlane. CAM Contact: P. Rasch
235!
236! This is contributed code not fully standardized by the CAM core group.
237! All variables have been typed, where most are identified in comments
238! The current procedure will be reimplemented in a subsequent version
239! of the CAM where it will include a more straightforward formulation
240! and will make use of the standard CAM nomenclature
241!
242!-----------------------------------------------------------------------
243#ifdef WRF_PORT
244  use module_cam_support, only: pcnst
245#else
246   use constituents, only: pcnst
247#endif
248
249!
250! ************************ index of variables **********************
251!
252!  wg * alpha    array of vertical differencing used (=1. for upstream).
253!  w  * cape     convective available potential energy.
254!  wg * capeg    gathered convective available potential energy.
255!  c  * capelmt  threshold value for cape for deep convection.
256!  ic  * cpres    specific heat at constant pressure in j/kg-degk.
257!  i  * dpp     
258!  ic  * delt     length of model time-step in seconds.
259!  wg * dp       layer thickness in mbs (between upper/lower interface).
260!  wg * dqdt     mixing ratio tendency at gathered points.
261!  wg * dsdt     dry static energy ("temp") tendency at gathered points.
262!  wg * dudt     u-wind tendency at gathered points.
263!  wg * dvdt     v-wind tendency at gathered points.
264!  wg * dsubcld  layer thickness in mbs between lcl and maxi.
265!  ic  * grav     acceleration due to gravity in m/sec2.
266!  wg * du       detrainment in updraft. specified in mid-layer
267!  wg * ed       entrainment in downdraft.
268!  wg * eu       entrainment in updraft.
269!  wg * hmn      moist static energy.
270!  wg * hsat     saturated moist static energy.
271!  w  * ideep    holds position of gathered points vs longitude index.
272!  ic  * pver     number of model levels.
273!  wg * j0       detrainment initiation level index.
274!  wg * jd       downdraft   initiation level index.
275!  ic  * jlatpr   gaussian latitude index for printing grids (if needed).
276!  wg * jt       top  level index of deep cumulus convection.
277!  w  * lcl      base level index of deep cumulus convection.
278!  wg * lclg     gathered values of lcl.
279!  w  * lel      index of highest theoretical convective plume.
280!  wg * lelg     gathered values of lel.
281!  w  * lon      index of onset level for deep convection.
282!  w  * maxi     index of level with largest moist static energy.
283!  wg * maxg     gathered values of maxi.
284!  wg * mb       cloud base mass flux.
285!  wg * mc       net upward (scaled by mb) cloud mass flux.
286!  wg * md       downward cloud mass flux (positive up).
287!  wg * mu       upward   cloud mass flux (positive up). specified
288!                at interface
289!  ic  * msg      number of missing moisture levels at the top of model.
290!  w  * p        grid slice of ambient mid-layer pressure in mbs.
291!  i  * pblt     row of pbl top indices.
292!  w  * pcpdh    scaled surface pressure.
293!  w  * pf       grid slice of ambient interface pressure in mbs.
294!  wg * pg       grid slice of gathered values of p.
295!  w  * q        grid slice of mixing ratio.
296!  wg * qd       grid slice of mixing ratio in downdraft.
297!  wg * qg       grid slice of gathered values of q.
298!  i/o * qh       grid slice of specific humidity.
299!  w  * qh0      grid slice of initial specific humidity.
300!  wg * qhat     grid slice of upper interface mixing ratio.
301!  wg * ql       grid slice of cloud liquid water.
302!  wg * qs       grid slice of saturation mixing ratio.
303!  w  * qstp     grid slice of parcel temp. saturation mixing ratio.
304!  wg * qstpg    grid slice of gathered values of qstp.
305!  wg * qu       grid slice of mixing ratio in updraft.
306!  ic  * rgas     dry air gas constant.
307!  wg * rl       latent heat of vaporization.
308!  w  * s        grid slice of scaled dry static energy (t+gz/cp).
309!  wg * sd       grid slice of dry static energy in downdraft.
310!  wg * sg       grid slice of gathered values of s.
311!  wg * shat     grid slice of upper interface dry static energy.
312!  wg * su       grid slice of dry static energy in updraft.
313!  i/o * t       
314!  o  * jctop    row of top-of-deep-convection indices passed out.
315!  O  * jcbot    row of base of cloud indices passed out.
316!  wg * tg       grid slice of gathered values of t.
317!  w  * tl       row of parcel temperature at lcl.
318!  wg * tlg      grid slice of gathered values of tl.
319!  w  * tp       grid slice of parcel temperatures.
320!  wg * tpg      grid slice of gathered values of tp.
321!  i/o * u        grid slice of u-wind (real).
322!  wg * ug       grid slice of gathered values of u.
323!  i/o * utg      grid slice of u-wind tendency (real).
324!  i/o * v        grid slice of v-wind (real).
325!  w  * va       work array re-used by called subroutines.
326!  wg * vg       grid slice of gathered values of v.
327!  i/o * vtg      grid slice of v-wind tendency (real).
328!  i  * w        grid slice of diagnosed large-scale vertical velocity.
329!  w  * z        grid slice of ambient mid-layer height in metres.
330!  w  * zf       grid slice of ambient interface height in metres.
331!  wg * zfg      grid slice of gathered values of zf.
332!  wg * zg       grid slice of gathered values of z.
333!
334!-----------------------------------------------------------------------
335!
336! multi-level i/o fields:
337!  i      => input arrays.
338!  i/o    => input/output arrays.
339!  w      => work arrays.
340!  wg     => work arrays operating only on gathered points.
341!  ic     => input data constants.
342!  c      => data constants pertaining to subroutine itself.
343!
344! input arguments
345!
346   integer, intent(in) :: lchnk                   ! chunk identifier
347   integer, intent(in) :: ncol                    ! number of atmospheric columns
348
349   real(r8), intent(in) :: t(pcols,pver)          ! grid slice of temperature at mid-layer.
350   real(r8), intent(in) :: qh(pcols,pver,pcnst)   ! grid slice of specific humidity.
351   real(r8), intent(in) :: pap(pcols,pver)     
352   real(r8), intent(in) :: paph(pcols,pver+1)
353   real(r8), intent(in) :: dpp(pcols,pver)        ! local sigma half-level thickness (i.e. dshj).
354   real(r8), intent(in) :: zm(pcols,pver)
355   real(r8), intent(in) :: geos(pcols)
356   real(r8), intent(in) :: zi(pcols,pver+1)
357   real(r8), intent(in) :: pblh(pcols)
358   real(r8), intent(in) :: tpert(pcols)
359   real(r8), intent(in) :: landfrac(pcols) ! RBN Landfrac
360!
361! output arguments
362!
363   real(r8), intent(out) :: qtnd(pcols,pver)           ! specific humidity tendency (kg/kg/s)
364   real(r8), intent(out) :: heat(pcols,pver)           ! heating rate (dry static energy tendency, W/kg)
365   real(r8), intent(out) :: mcon(pcols,pverp)
366   real(r8), intent(out) :: dlf(pcols,pver)    ! scattrd version of the detraining cld h2o tend
367   real(r8), intent(out) :: pflx(pcols,pverp)  ! scattered precip flux at each level
368   real(r8), intent(out) :: cme(pcols,pver)
369   real(r8), intent(out) :: cape(pcols)        ! w  convective available potential energy.
370   real(r8), intent(out) :: zdu(pcols,pver)
371   real(r8), intent(out) :: rprd(pcols,pver)     ! rain production rate
372! move these vars from local storage to output so that convective
373! transports can be done in outside of conv_cam.
374   real(r8), intent(out) :: mu(pcols,pver)
375   real(r8), intent(out) :: eu(pcols,pver)
376   real(r8), intent(out) :: du(pcols,pver)
377   real(r8), intent(out) :: md(pcols,pver)
378   real(r8), intent(out) :: ed(pcols,pver)
379   real(r8), intent(out) :: dp(pcols,pver)       ! wg layer thickness in mbs (between upper/lower interface).
380   real(r8), intent(out) :: dsubcld(pcols)       ! wg layer thickness in mbs between lcl and maxi.
381   real(r8), intent(out) :: jctop(pcols)  ! o row of top-of-deep-convection indices passed out.
382   real(r8), intent(out) :: jcbot(pcols)  ! o row of base of cloud indices passed out.
383   real(r8), intent(out) :: prec(pcols)
384   real(r8), intent(out) :: rliq(pcols) ! reserved liquid (not yet in cldliq) for energy integrals
385
386   real(r8) zs(pcols)
387   real(r8) dlg(pcols,pver)    ! gathrd version of the detraining cld h2o tend
388   real(r8) pflxg(pcols,pverp) ! gather precip flux at each level
389   real(r8) cug(pcols,pver)    ! gathered condensation rate
390   real(r8) evpg(pcols,pver)   ! gathered evap rate of rain in downdraft
391   real(r8) mumax(pcols)
392   integer jt(pcols)                          ! wg top  level index of deep cumulus convection.
393   integer maxg(pcols)                        ! wg gathered values of maxi.
394   integer ideep(pcols)                       ! w holds position of gathered points vs longitude index.
395   integer lengath
396!     diagnostic field used by chem/wetdep codes
397   real(r8) ql(pcols,pver)                    ! wg grid slice of cloud liquid water.
398!
399   real(r8) pblt(pcols)           ! i row of pbl top indices.
400
401!
402!-----------------------------------------------------------------------
403!
404! general work fields (local variables):
405!
406   real(r8) q(pcols,pver)              ! w  grid slice of mixing ratio.
407   real(r8) p(pcols,pver)              ! w  grid slice of ambient mid-layer pressure in mbs.
408   real(r8) z(pcols,pver)              ! w  grid slice of ambient mid-layer height in metres.
409   real(r8) s(pcols,pver)              ! w  grid slice of scaled dry static energy (t+gz/cp).
410   real(r8) tp(pcols,pver)             ! w  grid slice of parcel temperatures.
411   real(r8) zf(pcols,pver+1)           ! w  grid slice of ambient interface height in metres.
412   real(r8) pf(pcols,pver+1)           ! w  grid slice of ambient interface pressure in mbs.
413   real(r8) qstp(pcols,pver)           ! w  grid slice of parcel temp. saturation mixing ratio.
414
415   real(r8) tl(pcols)                  ! w  row of parcel temperature at lcl.
416
417   integer lcl(pcols)                  ! w  base level index of deep cumulus convection.
418   integer lel(pcols)                  ! w  index of highest theoretical convective plume.
419   integer lon(pcols)                  ! w  index of onset level for deep convection.
420   integer maxi(pcols)                 ! w  index of level with largest moist static energy.
421   integer index(pcols)
422   real(r8) precip
423!
424! gathered work fields:
425!
426   real(r8) qg(pcols,pver)             ! wg grid slice of gathered values of q.
427   real(r8) tg(pcols,pver)             ! w  grid slice of temperature at interface.
428   real(r8) pg(pcols,pver)             ! wg grid slice of gathered values of p.
429   real(r8) zg(pcols,pver)             ! wg grid slice of gathered values of z.
430   real(r8) sg(pcols,pver)             ! wg grid slice of gathered values of s.
431   real(r8) tpg(pcols,pver)            ! wg grid slice of gathered values of tp.
432   real(r8) zfg(pcols,pver+1)          ! wg grid slice of gathered values of zf.
433   real(r8) qstpg(pcols,pver)          ! wg grid slice of gathered values of qstp.
434   real(r8) ug(pcols,pver)             ! wg grid slice of gathered values of u.
435   real(r8) vg(pcols,pver)             ! wg grid slice of gathered values of v.
436   real(r8) cmeg(pcols,pver)
437
438   real(r8) rprdg(pcols,pver)           ! wg gathered rain production rate
439   real(r8) capeg(pcols)               ! wg gathered convective available potential energy.
440   real(r8) tlg(pcols)                 ! wg grid slice of gathered values of tl.
441   real(r8) landfracg(pcols)            ! wg grid slice of landfrac 
442
443   integer lclg(pcols)       ! wg gathered values of lcl.
444   integer lelg(pcols)
445!
446! work fields arising from gathered calculations.
447!
448   real(r8) dqdt(pcols,pver)           ! wg mixing ratio tendency at gathered points.
449   real(r8) dsdt(pcols,pver)           ! wg dry static energy ("temp") tendency at gathered points.
450!      real(r8) alpha(pcols,pver)      ! array of vertical differencing used (=1. for upstream).
451   real(r8) sd(pcols,pver)             ! wg grid slice of dry static energy in downdraft.
452   real(r8) qd(pcols,pver)             ! wg grid slice of mixing ratio in downdraft.
453   real(r8) mc(pcols,pver)             ! wg net upward (scaled by mb) cloud mass flux.
454   real(r8) qhat(pcols,pver)           ! wg grid slice of upper interface mixing ratio.
455   real(r8) qu(pcols,pver)             ! wg grid slice of mixing ratio in updraft.
456   real(r8) su(pcols,pver)             ! wg grid slice of dry static energy in updraft.
457   real(r8) qs(pcols,pver)             ! wg grid slice of saturation mixing ratio.
458   real(r8) shat(pcols,pver)           ! wg grid slice of upper interface dry static energy.
459   real(r8) hmn(pcols,pver)            ! wg moist static energy.
460   real(r8) hsat(pcols,pver)           ! wg saturated moist static energy.
461   real(r8) qlg(pcols,pver)
462   real(r8) dudt(pcols,pver)           ! wg u-wind tendency at gathered points.
463   real(r8) dvdt(pcols,pver)           ! wg v-wind tendency at gathered points.
464!      real(r8) ud(pcols,pver)
465!      real(r8) vd(pcols,pver)
466
467   real(r8) mb(pcols)                  ! wg cloud base mass flux.
468
469   integer jlcl(pcols)
470   integer j0(pcols)                 ! wg detrainment initiation level index.
471   integer jd(pcols)                 ! wg downdraft initiation level index.
472
473   real(r8) delt                     ! length of model time-step in seconds.
474
475   integer i
476   integer ii
477   integer k
478   integer msg                      !  ic number of missing moisture levels at the top of model.
479   real(r8) qdifr
480   real(r8) sdifr
481!
482!--------------------------Data statements------------------------------
483!
484! Set internal variable "msg" (convection limit) to "limcnv-1"
485!
486   msg = limcnv - 1
487!
488! initialize necessary arrays.
489! zero out variables not used in cam
490!
491   qtnd(:,:) = 0._r8
492   heat(:,:) = 0._r8
493   mcon(:,:) = 0._r8
494   rliq(:ncol)   = 0._r8
495!
496! initialize convective tendencies
497!
498   prec(:ncol) = 0._r8
499   do k = 1,pver
500      do i = 1,ncol
501         dqdt(i,k)  = 0._r8
502         dsdt(i,k)  = 0._r8
503         dudt(i,k)  = 0._r8
504         dvdt(i,k)  = 0._r8
505         pflx(i,k)  = 0._r8
506         pflxg(i,k) = 0._r8
507         cme(i,k)   = 0._r8
508         rprd(i,k)  = 0._r8
509         zdu(i,k)   = 0._r8
510         ql(i,k)    = 0._r8
511         qlg(i,k)   = 0._r8
512         dlf(i,k)   = 0._r8
513         dlg(i,k)   = 0._r8
514      end do
515   end do
516   do i = 1,ncol
517      pflx(i,pverp) = 0
518      pflxg(i,pverp) = 0
519   end do
520!
521   do i = 1,ncol
522      pblt(i) = pver
523      dsubcld(i) = 0._r8
524
525      jctop(i) = pver
526      jcbot(i) = 1
527   end do
528!
529! calculate local pressure (mbs) and height (m) for both interface
530! and mid-layer locations.
531!
532   do i = 1,ncol
533      zs(i) = geos(i)*rgrav
534      pf(i,pver+1) = paph(i,pver+1)*0.01_r8
535      zf(i,pver+1) = zi(i,pver+1) + zs(i)
536   end do
537   do k = 1,pver
538      do i = 1,ncol
539         p(i,k) = pap(i,k)*0.01_r8
540         pf(i,k) = paph(i,k)*0.01_r8
541         z(i,k) = zm(i,k) + zs(i)
542         zf(i,k) = zi(i,k) + zs(i)
543      end do
544   end do
545!
546   do k = pver - 1,msg + 1,-1
547      do i = 1,ncol
548         if (abs(z(i,k)-zs(i)-pblh(i)) < (zf(i,k)-zf(i,k+1))*0.5_r8) pblt(i) = k
549      end do
550   end do
551!
552! store incoming specific humidity field for subsequent calculation
553! of precipitation (through change in storage).
554! define dry static energy (normalized by cp).
555!
556   do k = 1,pver
557      do i = 1,ncol
558         q(i,k) = qh(i,k,1)
559         s(i,k) = t(i,k) + (grav/cpres)*z(i,k)
560         tp(i,k)=0.0_r8
561         shat(i,k) = s(i,k)
562         qhat(i,k) = q(i,k)
563      end do
564   end do
565
566   do i = 1,ncol
567      capeg(i) = 0._r8
568      lclg(i) = 1
569      lelg(i) = pver
570      maxg(i) = 1
571      tlg(i) = 400._r8
572      dsubcld(i) = 0._r8
573   end do
574
575   !  Evaluate Tparcel, qsat(Tparcel), buoyancy and CAPE,
576   !     lcl, lel, parcel launch level at index maxi()=hmax
577
578   call buoyan_dilute(lchnk   ,ncol    , &
579               q       ,t       ,p       ,z       ,pf       , &
580               tp      ,qstp    ,tl      ,rl      ,cape     , &
581               pblt    ,lcl     ,lel     ,lon     ,maxi     , &
582               rgas    ,grav    ,cpres   ,msg     , &
583               tpert   )
584
585!
586! determine whether grid points will undergo some deep convection
587! (ideep=1) or not (ideep=0), based on values of cape,lcl,lel
588! (require cape.gt. 0 and lel<lcl as minimum conditions).
589!
590   lengath = 0
591   do i=1,ncol
592      if (cape(i) > capelmt) then
593         lengath = lengath + 1
594         index(lengath) = i
595      end if
596   end do
597
598   if (lengath.eq.0) return
599   do ii=1,lengath
600      i=index(ii)
601      ideep(ii)=i
602   end do
603!
604! obtain gathered arrays necessary for ensuing calculations.
605!
606   do k = 1,pver
607      do i = 1,lengath
608         dp(i,k) = 0.01_r8*dpp(ideep(i),k)
609         qg(i,k) = q(ideep(i),k)
610         tg(i,k) = t(ideep(i),k)
611         pg(i,k) = p(ideep(i),k)
612         zg(i,k) = z(ideep(i),k)
613         sg(i,k) = s(ideep(i),k)
614         tpg(i,k) = tp(ideep(i),k)
615         zfg(i,k) = zf(ideep(i),k)
616         qstpg(i,k) = qstp(ideep(i),k)
617         ug(i,k) = 0._r8
618         vg(i,k) = 0._r8
619      end do
620   end do
621!
622   do i = 1,lengath
623      zfg(i,pver+1) = zf(ideep(i),pver+1)
624   end do
625   do i = 1,lengath
626      capeg(i) = cape(ideep(i))
627      lclg(i) = lcl(ideep(i))
628      lelg(i) = lel(ideep(i))
629      maxg(i) = maxi(ideep(i))
630      tlg(i) = tl(ideep(i))
631      landfracg(i) = landfrac(ideep(i))
632   end do
633!
634! calculate sub-cloud layer pressure "thickness" for use in
635! closure and tendency routines.
636!
637   do k = msg + 1,pver
638      do i = 1,lengath
639         if (k >= maxg(i)) then
640            dsubcld(i) = dsubcld(i) + dp(i,k)
641         end if
642      end do
643   end do
644!
645! define array of factors (alpha) which defines interfacial
646! values, as well as interfacial values for (q,s) used in
647! subsequent routines.
648!
649   do k = msg + 2,pver
650      do i = 1,lengath
651!            alpha(i,k) = 0.5
652         sdifr = 0._r8
653         qdifr = 0._r8
654         if (sg(i,k) > 0._r8 .or. sg(i,k-1) > 0._r8) &
655            sdifr = abs((sg(i,k)-sg(i,k-1))/max(sg(i,k-1),sg(i,k)))
656         if (qg(i,k) > 0._r8 .or. qg(i,k-1) > 0._r8) &
657            qdifr = abs((qg(i,k)-qg(i,k-1))/max(qg(i,k-1),qg(i,k)))
658         if (sdifr > 1.E-6_r8) then
659            shat(i,k) = log(sg(i,k-1)/sg(i,k))*sg(i,k-1)*sg(i,k)/(sg(i,k-1)-sg(i,k))
660         else
661            shat(i,k) = 0.5_r8* (sg(i,k)+sg(i,k-1))
662         end if
663         if (qdifr > 1.E-6_r8) then
664            qhat(i,k) = log(qg(i,k-1)/qg(i,k))*qg(i,k-1)*qg(i,k)/(qg(i,k-1)-qg(i,k))
665         else
666            qhat(i,k) = 0.5_r8* (qg(i,k)+qg(i,k-1))
667         end if
668      end do
669   end do
670!
671! obtain cloud properties.
672!
673
674   call cldprp(lchnk   , &
675               qg      ,tg      ,ug      ,vg      ,pg      , &
676               zg      ,sg      ,mu      ,eu      ,du      , &
677               md      ,ed      ,sd      ,qd      ,mc      , &
678               qu      ,su      ,zfg     ,qs      ,hmn     , &
679               hsat    ,shat    ,qlg     , &
680               cmeg    ,maxg    ,lelg    ,jt      ,jlcl    , &
681               maxg    ,j0      ,jd      ,rl      ,lengath , &
682               rgas    ,grav    ,cpres   ,msg     , &
683               pflxg   ,evpg    ,cug     ,rprdg   ,limcnv  ,landfracg)
684!
685! convert detrainment from units of "1/m" to "1/mb".
686!
687   do k = msg + 1,pver
688      do i = 1,lengath
689         du   (i,k) = du   (i,k)* (zfg(i,k)-zfg(i,k+1))/dp(i,k)
690         eu   (i,k) = eu   (i,k)* (zfg(i,k)-zfg(i,k+1))/dp(i,k)
691         ed   (i,k) = ed   (i,k)* (zfg(i,k)-zfg(i,k+1))/dp(i,k)
692         cug  (i,k) = cug  (i,k)* (zfg(i,k)-zfg(i,k+1))/dp(i,k)
693         cmeg (i,k) = cmeg (i,k)* (zfg(i,k)-zfg(i,k+1))/dp(i,k)
694         rprdg(i,k) = rprdg(i,k)* (zfg(i,k)-zfg(i,k+1))/dp(i,k)
695         evpg (i,k) = evpg (i,k)* (zfg(i,k)-zfg(i,k+1))/dp(i,k)
696      end do
697   end do
698
699   call closure(lchnk   , &
700                qg      ,tg      ,pg      ,zg      ,sg      , &
701                tpg     ,qs      ,qu      ,su      ,mc      , &
702                du      ,mu      ,md      ,qd      ,sd      , &
703                qhat    ,shat    ,dp      ,qstpg   ,zfg     , &
704                qlg     ,dsubcld ,mb      ,capeg   ,tlg     , &
705                lclg    ,lelg    ,jt      ,maxg    ,1       , &
706                lengath ,rgas    ,grav    ,cpres   ,rl      , &
707                msg     ,capelmt    )
708!
709! limit cloud base mass flux to theoretical upper bound.
710!
711   do i=1,lengath
712      mumax(i) = 0
713   end do
714   do k=msg + 2,pver
715      do i=1,lengath
716        mumax(i) = max(mumax(i), mu(i,k)/dp(i,k))
717      end do
718   end do
719
720   do i=1,lengath
721      if (mumax(i) > 0._r8) then
722         mb(i) = min(mb(i),0.5_r8/(delt*mumax(i)))
723      else
724         mb(i) = 0._r8
725      endif
726   end do
727   ! If no_deep_pbl = .true., don't allow convection entirely
728   ! within PBL (suggestion of Bjorn Stevens, 8-2000)
729
730   if (no_deep_pbl) then
731      do i=1,lengath
732         if (zm(ideep(i),jt(i)) < pblh(ideep(i))) mb(i) = 0
733      end do
734   end if
735
736
737   do k=msg+1,pver
738      do i=1,lengath
739         mu   (i,k)  = mu   (i,k)*mb(i)
740         md   (i,k)  = md   (i,k)*mb(i)
741         mc   (i,k)  = mc   (i,k)*mb(i)
742         du   (i,k)  = du   (i,k)*mb(i)
743         eu   (i,k)  = eu   (i,k)*mb(i)
744         ed   (i,k)  = ed   (i,k)*mb(i)
745         cmeg (i,k)  = cmeg (i,k)*mb(i)
746         rprdg(i,k)  = rprdg(i,k)*mb(i)
747         cug  (i,k)  = cug  (i,k)*mb(i)
748         evpg (i,k)  = evpg (i,k)*mb(i)
749         pflxg(i,k+1)= pflxg(i,k+1)*mb(i)*100._r8/grav
750      end do
751   end do
752!
753! compute temperature and moisture changes due to convection.
754!
755   call q1q2_pjr(lchnk   , &
756                 dqdt    ,dsdt    ,qg      ,qs      ,qu      , &
757                 su      ,du      ,qhat    ,shat    ,dp      , &
758                 mu      ,md      ,sd      ,qd      ,qlg     , &
759                 dsubcld ,jt      ,maxg    ,1       ,lengath , &
760                 cpres   ,rl      ,msg     ,          &
761                 dlg     ,evpg    ,cug     )
762!
763! gather back temperature and mixing ratio.
764!
765   do k = msg + 1,pver
766!DIR$ CONCURRENT
767      do i = 1,lengath
768!
769! q is updated to compute net precip.
770!
771         q(ideep(i),k) = qh(ideep(i),k,1) + 2._r8*delt*dqdt(i,k)
772         qtnd(ideep(i),k) = dqdt (i,k)
773         cme (ideep(i),k) = cmeg (i,k)
774         rprd(ideep(i),k) = rprdg(i,k)
775         zdu (ideep(i),k) = du   (i,k)
776         mcon(ideep(i),k) = mc   (i,k)
777         heat(ideep(i),k) = dsdt (i,k)*cpres
778         dlf (ideep(i),k) = dlg  (i,k)
779         pflx(ideep(i),k) = pflxg(i,k)
780         ql  (ideep(i),k) = qlg  (i,k)
781      end do
782   end do
783!
784!DIR$ CONCURRENT
785   do i = 1,lengath
786      jctop(ideep(i)) = jt(i)
787!++bee
788      jcbot(ideep(i)) = maxg(i)
789!--bee
790      pflx(ideep(i),pverp) = pflxg(i,pverp)
791   end do
792
793! Compute precip by integrating change in water vapor minus detrained cloud water
794   do k = pver,msg + 1,-1
795      do i = 1,ncol
796         prec(i) = prec(i) - dpp(i,k)* (q(i,k)-qh(i,k,1)) - dpp(i,k)*dlf(i,k)*2*delt
797      end do
798   end do
799
800! obtain final precipitation rate in m/s.
801   do i = 1,ncol
802      prec(i) = rgrav*max(prec(i),0._r8)/ (2._r8*delt)/1000._r8
803   end do
804
805! Compute reserved liquid (not yet in cldliq) for energy integrals.
806! Treat rliq as flux out bottom, to be added back later.
807   do k = 1, pver
808      do i = 1, ncol
809         rliq(i) = rliq(i) + dlf(i,k)*dpp(i,k)/gravit
810      end do
811   end do
812   rliq(:ncol) = rliq(:ncol) /1000._r8
813
814   return
815end subroutine zm_convr
816
817!===============================================================================
818subroutine zm_conv_evap(ncol,lchnk, &
819     t,pmid,pdel,q, &
820     tend_s, tend_s_snwprd, tend_s_snwevmlt, tend_q, &
821     prdprec, cldfrc, deltat,  &
822     prec, snow, ntprprd, ntsnprd, flxprec, flxsnow )
823
824!-----------------------------------------------------------------------
825! Compute tendencies due to evaporation of rain from ZM scheme
826!--
827! Compute the total precipitation and snow fluxes at the surface.
828! Add in the latent heat of fusion for snow formation and melt, since it not dealt with
829! in the Zhang-MacFarlane parameterization.
830! Evaporate some of the precip directly into the environment using a Sundqvist type algorithm
831!-----------------------------------------------------------------------
832
833    use wv_saturation,  only: aqsat
834#ifndef WRF_PORT
835    use phys_grid, only: get_rlat_all_p
836#endif
837
838!------------------------------Arguments--------------------------------
839    integer,intent(in) :: ncol, lchnk             ! number of columns and chunk index
840    real(r8),intent(in), dimension(pcols,pver) :: t          ! temperature (K)
841    real(r8),intent(in), dimension(pcols,pver) :: pmid       ! midpoint pressure (Pa)
842    real(r8),intent(in), dimension(pcols,pver) :: pdel       ! layer thickness (Pa)
843    real(r8),intent(in), dimension(pcols,pver) :: q          ! water vapor (kg/kg)
844    real(r8),intent(inout), dimension(pcols,pver) :: tend_s     ! heating rate (J/kg/s)
845    real(r8),intent(inout), dimension(pcols,pver) :: tend_q     ! water vapor tendency (kg/kg/s)
846    real(r8),intent(out  ), dimension(pcols,pver) :: tend_s_snwprd ! Heating rate of snow production
847    real(r8),intent(out  ), dimension(pcols,pver) :: tend_s_snwevmlt ! Heating rate of evap/melting of snow
848   
849
850
851    real(r8), intent(in   ) :: prdprec(pcols,pver)! precipitation production (kg/ks/s)
852    real(r8), intent(in   ) :: cldfrc(pcols,pver) ! cloud fraction
853    real(r8), intent(in   ) :: deltat             ! time step
854
855    real(r8), intent(inout) :: prec(pcols)        ! Convective-scale preciptn rate
856    real(r8), intent(out)   :: snow(pcols)        ! Convective-scale snowfall rate
857!
858!---------------------------Local storage-------------------------------
859
860    real(r8) :: est    (pcols,pver)    ! Saturation vapor pressure
861    real(r8) :: fice   (pcols,pver)    ! ice fraction in precip production
862    real(r8) :: fsnow_conv(pcols,pver) ! snow fraction in precip production
863    real(r8) :: qsat   (pcols,pver)    ! saturation specific humidity
864    real(r8),intent(out) :: flxprec(pcols,pverp)   ! Convective-scale flux of precip at interfaces (kg/m2/s)
865    real(r8),intent(out) :: flxsnow(pcols,pverp)   ! Convective-scale flux of snow   at interfaces (kg/m2/s)
866    real(r8),intent(out) :: ntprprd(pcols,pver)    ! net precip production in layer
867    real(r8),intent(out) :: ntsnprd(pcols,pver)    ! net snow production in layer
868    real(r8) :: work1                  ! temp variable (pjr)
869    real(r8) :: work2                  ! temp variable (pjr)
870
871    real(r8) :: evpvint(pcols)         ! vertical integral of evaporation
872    real(r8) :: evpprec(pcols)         ! evaporation of precipitation (kg/kg/s)
873    real(r8) :: evpsnow(pcols)         ! evaporation of snowfall (kg/kg/s)
874    real(r8) :: snowmlt(pcols)         ! snow melt tendency in layer
875    real(r8) :: flxsntm(pcols)         ! flux of snow into layer, after melting
876
877    real(r8) :: evplimit               ! temp variable for evaporation limits
878    real(r8) :: rlat(pcols)
879
880    integer :: i,k                     ! longitude,level indices
881
882
883!-----------------------------------------------------------------------
884
885! convert input precip to kg/m2/s
886    prec(:ncol) = prec(:ncol)*1000._r8
887
888! determine saturation vapor pressure
889    call aqsat (t    ,pmid  ,est    ,qsat    ,pcols   , &
890         ncol ,pver  ,1       ,pver    )
891
892! determine ice fraction in rain production (use cloud water parameterization fraction at present)
893    call cldwat_fice(ncol, t, fice, fsnow_conv)
894
895! zero the flux integrals on the top boundary
896    flxprec(:ncol,1) = 0._r8
897    flxsnow(:ncol,1) = 0._r8
898    evpvint(:ncol)   = 0._r8
899
900    do k = 1, pver
901       do i = 1, ncol
902
903! Melt snow falling into layer, if necessary.
904          if (t(i,k) > tmelt) then
905             flxsntm(i) = 0._r8
906             snowmlt(i) = flxsnow(i,k) * gravit/ pdel(i,k)
907          else
908             flxsntm(i) = flxsnow(i,k)
909             snowmlt(i) = 0._r8
910          end if
911
912! relative humidity depression must be > 0 for evaporation
913          evplimit = max(1._r8 - q(i,k)/qsat(i,k), 0._r8)
914
915! total evaporation depends on flux in the top of the layer
916! flux prec is the net production above layer minus evaporation into environmet
917          evpprec(i) = ke * (1._r8 - cldfrc(i,k)) * evplimit * sqrt(flxprec(i,k))
918!**********************************************************
919!!          evpprec(i) = 0.    ! turn off evaporation for now
920!**********************************************************
921
922! Don't let evaporation supersaturate layer (approx). Layer may already be saturated.
923! Currently does not include heating/cooling change to qsat
924          evplimit   = max(0._r8, (qsat(i,k)-q(i,k)) / deltat)
925
926! Don't evaporate more than is falling into the layer - do not evaporate rain formed
927! in this layer but if precip production is negative, remove from the available precip
928! Negative precip production occurs because of evaporation in downdrafts.
929!!$          evplimit   = flxprec(i,k) * gravit / pdel(i,k) + min(prdprec(i,k), 0.)
930          evplimit   = min(evplimit, flxprec(i,k) * gravit / pdel(i,k))
931
932! Total evaporation cannot exceed input precipitation
933          evplimit   = min(evplimit, (prec(i) - evpvint(i)) * gravit / pdel(i,k))
934
935          evpprec(i) = min(evplimit, evpprec(i))
936
937! evaporation of snow depends on snow fraction of total precipitation in the top after melting
938          if (flxprec(i,k) > 0._r8) then
939!            evpsnow(i) = evpprec(i) * flxsntm(i) / flxprec(i,k)
940!            prevent roundoff problems
941             work1 = min(max(0._r8,flxsntm(i)/flxprec(i,k)),1._r8)
942             evpsnow(i) = evpprec(i) * work1
943          else
944             evpsnow(i) = 0._r8
945          end if
946
947! vertically integrated evaporation
948          evpvint(i) = evpvint(i) + evpprec(i) * pdel(i,k)/gravit
949
950! net precip production is production - evaporation
951          ntprprd(i,k) = prdprec(i,k) - evpprec(i)
952! net snow production is precip production * ice fraction - evaporation - melting
953!pjrworks ntsnprd(i,k) = prdprec(i,k)*fice(i,k) - evpsnow(i) - snowmlt(i)
954!pjrwrks2 ntsnprd(i,k) = prdprec(i,k)*fsnow_conv(i,k) - evpsnow(i) - snowmlt(i)
955! the small amount added to flxprec in the work1 expression has been increased from
956! 1e-36 to 8.64e-11 (1e-5 mm/day).  This causes the temperature based partitioning
957! scheme to be used for small flxprec amounts.  This is to address error growth problems.
958#ifdef PERGRO
959          work1 = min(max(0._r8,flxsnow(i,k)/(flxprec(i,k)+8.64e-11_r8)),1._r8)
960#else
961          if (flxprec(i,k).gt.0._r8) then
962             work1 = min(max(0._r8,flxsnow(i,k)/flxprec(i,k)),1._r8)
963          else
964             work1 = 0._r8
965          endif
966#endif
967          work2 = max(fsnow_conv(i,k), work1)
968          if (snowmlt(i).gt.0._r8) work2 = 0._r8
969!         work2 = fsnow_conv(i,k)
970          ntsnprd(i,k) = prdprec(i,k)*work2 - evpsnow(i) - snowmlt(i)
971          tend_s_snwprd  (i,k) = prdprec(i,k)*work2*latice
972          tend_s_snwevmlt(i,k) = - ( evpsnow(i) + snowmlt(i) )*latice
973
974! precipitation fluxes
975          flxprec(i,k+1) = flxprec(i,k) + ntprprd(i,k) * pdel(i,k)/gravit
976          flxsnow(i,k+1) = flxsnow(i,k) + ntsnprd(i,k) * pdel(i,k)/gravit
977
978! protect against rounding error
979          flxprec(i,k+1) = max(flxprec(i,k+1), 0._r8)
980          flxsnow(i,k+1) = max(flxsnow(i,k+1), 0._r8)
981! more protection (pjr)
982!         flxsnow(i,k+1) = min(flxsnow(i,k+1), flxprec(i,k+1))
983
984! heating (cooling) and moistening due to evaporation
985! - latent heat of vaporization for precip production has already been accounted for
986! - snow is contained in prec
987          tend_s(i,k)   =-evpprec(i)*latvap + ntsnprd(i,k)*latice
988          tend_q(i,k) = evpprec(i)
989       end do
990    end do
991
992! set output precipitation rates (m/s)
993    prec(:ncol) = flxprec(:ncol,pver+1) / 1000._r8
994    snow(:ncol) = flxsnow(:ncol,pver+1) / 1000._r8
995
996!**********************************************************
997!!$    tend_s(:ncol,:)   = 0.      ! turn heating off
998!**********************************************************
999
1000  end subroutine zm_conv_evap
1001
1002
1003
1004subroutine convtran(lchnk   , &
1005                    doconvtran,q       ,ncnst   ,mu      ,md      , &
1006                    du      ,eu      ,ed      ,dp      ,dsubcld , &
1007                    jt      ,mx      ,ideep   ,il1g    ,il2g    , &
1008                    nstep   ,fracis  ,dqdt    ,dpdry   )
1009!-----------------------------------------------------------------------
1010!
1011! Purpose:
1012! Convective transport of trace species
1013!
1014! Mixing ratios may be with respect to either dry or moist air
1015!
1016! Method:
1017! <Describe the algorithm(s) used in the routine.>
1018! <Also include any applicable external references.>
1019!
1020! Author: P. Rasch
1021!
1022!-----------------------------------------------------------------------
1023   use shr_kind_mod, only: r8 => shr_kind_r8
1024   use constituents, only: cnst_get_type_byind
1025#ifndef WRF_PORT
1026   use ppgrid
1027   use abortutils, only: endrun
1028!~~~#else
1029!   use module_cam_support, only: cnst_get_type_byind
1030#endif
1031
1032   implicit none
1033!-----------------------------------------------------------------------
1034!
1035! Input arguments
1036!
1037   integer, intent(in) :: lchnk                 ! chunk identifier
1038   integer, intent(in) :: ncnst                 ! number of tracers to transport
1039   logical, intent(in) :: doconvtran(ncnst)     ! flag for doing convective transport
1040   real(r8), intent(in) :: q(pcols,pver,ncnst)  ! Tracer array including moisture
1041   real(r8), intent(in) :: mu(pcols,pver)       ! Mass flux up
1042   real(r8), intent(in) :: md(pcols,pver)       ! Mass flux down
1043   real(r8), intent(in) :: du(pcols,pver)       ! Mass detraining from updraft
1044   real(r8), intent(in) :: eu(pcols,pver)       ! Mass entraining from updraft
1045   real(r8), intent(in) :: ed(pcols,pver)       ! Mass entraining from downdraft
1046   real(r8), intent(in) :: dp(pcols,pver)       ! Delta pressure between interfaces
1047   real(r8), intent(in) :: dsubcld(pcols)       ! Delta pressure from cloud base to sfc
1048   real(r8), intent(in) :: fracis(pcols,pver,ncnst) ! fraction of tracer that is insoluble
1049
1050   integer, intent(in) :: jt(pcols)         ! Index of cloud top for each column
1051   integer, intent(in) :: mx(pcols)         ! Index of cloud top for each column
1052   integer, intent(in) :: ideep(pcols)      ! Gathering array
1053   integer, intent(in) :: il1g              ! Gathered min lon indices over which to operate
1054   integer, intent(in) :: il2g              ! Gathered max lon indices over which to operate
1055   integer, intent(in) :: nstep             ! Time step index
1056
1057   real(r8), intent(in) :: dpdry(pcols,pver)       ! Delta pressure between interfaces
1058
1059
1060! input/output
1061
1062   real(r8), intent(out) :: dqdt(pcols,pver,ncnst)  ! Tracer tendency array
1063
1064!--------------------------Local Variables------------------------------
1065
1066   integer i                 ! Work index
1067   integer k                 ! Work index
1068   integer kbm               ! Highest altitude index of cloud base
1069   integer kk                ! Work index
1070   integer kkp1              ! Work index
1071   integer km1               ! Work index
1072   integer kp1               ! Work index
1073   integer ktm               ! Highest altitude index of cloud top
1074   integer m                 ! Work index
1075
1076   real(r8) cabv                 ! Mix ratio of constituent above
1077   real(r8) cbel                 ! Mix ratio of constituent below
1078   real(r8) cdifr                ! Normalized diff between cabv and cbel
1079   real(r8) chat(pcols,pver)     ! Mix ratio in env at interfaces
1080   real(r8) cond(pcols,pver)     ! Mix ratio in downdraft at interfaces
1081   real(r8) const(pcols,pver)    ! Gathered tracer array
1082   real(r8) fisg(pcols,pver)     ! gathered insoluble fraction of tracer
1083   real(r8) conu(pcols,pver)     ! Mix ratio in updraft at interfaces
1084   real(r8) dcondt(pcols,pver)   ! Gathered tend array
1085   real(r8) small                ! A small number
1086   real(r8) mbsth                ! Threshold for mass fluxes
1087   real(r8) mupdudp              ! A work variable
1088   real(r8) minc                 ! A work variable
1089   real(r8) maxc                 ! A work variable
1090   real(r8) fluxin               ! A work variable
1091   real(r8) fluxout              ! A work variable
1092   real(r8) netflux              ! A work variable
1093
1094   real(r8) dutmp(pcols,pver)       ! Mass detraining from updraft
1095   real(r8) eutmp(pcols,pver)       ! Mass entraining from updraft
1096   real(r8) edtmp(pcols,pver)       ! Mass entraining from downdraft
1097   real(r8) dptmp(pcols,pver)    ! Delta pressure between interfaces
1098!-----------------------------------------------------------------------
1099!
1100   small = 1.e-36_r8
1101
1102! mbsth is the threshold below which we treat the mass fluxes as zero (in mb/s)
1103   mbsth = 1.e-15_r8
1104
1105! Find the highest level top and bottom levels of convection
1106   ktm = pver
1107   kbm = pver
1108   do i = il1g, il2g
1109      ktm = min(ktm,jt(i))
1110      kbm = min(kbm,mx(i))
1111   end do
1112
1113! Loop ever each constituent
1114   do m = 2, ncnst
1115      if (doconvtran(m)) then
1116
1117         if (cnst_get_type_byind(m).eq.'dry') then
1118            do k = 1,pver
1119               do i =il1g,il2g
1120                  dptmp(i,k) = dpdry(i,k)
1121                  dutmp(i,k) = du(i,k)*dp(i,k)/dpdry(i,k)
1122                  eutmp(i,k) = eu(i,k)*dp(i,k)/dpdry(i,k)
1123                  edtmp(i,k) = ed(i,k)*dp(i,k)/dpdry(i,k)
1124               end do
1125            end do
1126         else
1127            do k = 1,pver
1128               do i =il1g,il2g
1129                  dptmp(i,k) = dp(i,k)
1130                  dutmp(i,k) = du(i,k)
1131                  eutmp(i,k) = eu(i,k)
1132                  edtmp(i,k) = ed(i,k)
1133               end do
1134            end do
1135         endif
1136!        dptmp = dp
1137
1138! Gather up the constituent and set tend to zero
1139         do k = 1,pver
1140            do i =il1g,il2g
1141               const(i,k) = q(ideep(i),k,m)
1142               fisg(i,k) = fracis(ideep(i),k,m)
1143            end do
1144         end do
1145
1146! From now on work only with gathered data
1147
1148! Interpolate environment tracer values to interfaces
1149         do k = 1,pver
1150            km1 = max(1,k-1)
1151            do i = il1g, il2g
1152               minc = min(const(i,km1),const(i,k))
1153               maxc = max(const(i,km1),const(i,k))
1154               if (minc < 0) then
1155                  cdifr = 0._r8
1156               else
1157                  cdifr = abs(const(i,k)-const(i,km1))/max(maxc,small)
1158               endif
1159
1160! If the two layers differ significantly use a geometric averaging
1161! procedure
1162               if (cdifr > 1.E-6_r8) then
1163                  cabv = max(const(i,km1),maxc*1.e-12_r8)
1164                  cbel = max(const(i,k),maxc*1.e-12_r8)
1165                  chat(i,k) = log(cabv/cbel)/(cabv-cbel)*cabv*cbel
1166
1167               else             ! Small diff, so just arithmetic mean
1168                  chat(i,k) = 0.5_r8* (const(i,k)+const(i,km1))
1169               end if
1170
1171! Provisional up and down draft values
1172               conu(i,k) = chat(i,k)
1173               cond(i,k) = chat(i,k)
1174
1175!              provisional tends
1176               dcondt(i,k) = 0._r8
1177
1178            end do
1179         end do
1180
1181! Do levels adjacent to top and bottom
1182         k = 2
1183         km1 = 1
1184         kk = pver
1185         do i = il1g,il2g
1186            mupdudp = mu(i,kk) + dutmp(i,kk)*dptmp(i,kk)
1187            if (mupdudp > mbsth) then
1188               conu(i,kk) = (+eutmp(i,kk)*fisg(i,kk)*const(i,kk)*dptmp(i,kk))/mupdudp
1189            endif
1190            if (md(i,k) < -mbsth) then
1191               cond(i,k) =  (-edtmp(i,km1)*fisg(i,km1)*const(i,km1)*dptmp(i,km1))/md(i,k)
1192            endif
1193         end do
1194
1195! Updraft from bottom to top
1196         do kk = pver-1,1,-1
1197            kkp1 = min(pver,kk+1)
1198            do i = il1g,il2g
1199               mupdudp = mu(i,kk) + dutmp(i,kk)*dptmp(i,kk)
1200               if (mupdudp > mbsth) then
1201                  conu(i,kk) = (  mu(i,kkp1)*conu(i,kkp1)+eutmp(i,kk)*fisg(i,kk)* &
1202                                  const(i,kk)*dptmp(i,kk) )/mupdudp
1203               endif
1204            end do
1205         end do
1206
1207! Downdraft from top to bottom
1208         do k = 3,pver
1209            km1 = max(1,k-1)
1210            do i = il1g,il2g
1211               if (md(i,k) < -mbsth) then
1212                  cond(i,k) =  (  md(i,km1)*cond(i,km1)-edtmp(i,km1)*fisg(i,km1)*const(i,km1) &
1213                                  *dptmp(i,km1) )/md(i,k)
1214               endif
1215            end do
1216         end do
1217
1218
1219         do k = ktm,pver
1220            km1 = max(1,k-1)
1221            kp1 = min(pver,k+1)
1222            do i = il1g,il2g
1223
1224! version 1 hard to check for roundoff errors
1225!               dcondt(i,k) =
1226!     $                  +(+mu(i,kp1)* (conu(i,kp1)-chat(i,kp1))
1227!     $                    -mu(i,k)*   (conu(i,k)-chat(i,k))
1228!     $                    +md(i,kp1)* (cond(i,kp1)-chat(i,kp1))
1229!     $                    -md(i,k)*   (cond(i,k)-chat(i,k))
1230!     $                   )/dp(i,k)
1231
1232! version 2 hard to limit fluxes
1233!               fluxin =  mu(i,kp1)*conu(i,kp1) + mu(i,k)*chat(i,k)
1234!     $                 -(md(i,k)  *cond(i,k)   + md(i,kp1)*chat(i,kp1))
1235!               fluxout = mu(i,k)*conu(i,k)     + mu(i,kp1)*chat(i,kp1)
1236!     $                 -(md(i,kp1)*cond(i,kp1) + md(i,k)*chat(i,k))
1237
1238! version 3 limit fluxes outside convection to mass in appropriate layer
1239! these limiters are probably only safe for positive definite quantitities
1240! it assumes that mu and md already satify a courant number limit of 1
1241               fluxin =  mu(i,kp1)*conu(i,kp1)+ mu(i,k)*min(chat(i,k),const(i,km1)) &
1242                         -(md(i,k)  *cond(i,k) + md(i,kp1)*min(chat(i,kp1),const(i,kp1)))
1243               fluxout = mu(i,k)*conu(i,k) + mu(i,kp1)*min(chat(i,kp1),const(i,k)) &
1244                         -(md(i,kp1)*cond(i,kp1) + md(i,k)*min(chat(i,k),const(i,k)))
1245
1246               netflux = fluxin - fluxout
1247               if (abs(netflux) < max(fluxin,fluxout)*1.e-12_r8) then
1248                  netflux = 0._r8
1249               endif
1250               dcondt(i,k) = netflux/dptmp(i,k)
1251            end do
1252         end do
1253! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1254!
1255!DIR$ NOINTERCHANGE
1256         do k = kbm,pver
1257            km1 = max(1,k-1)
1258            do i = il1g,il2g
1259               if (k == mx(i)) then
1260
1261! version 1
1262!                  dcondt(i,k) = (1./dsubcld(i))*
1263!     $              (-mu(i,k)*(conu(i,k)-chat(i,k))
1264!     $               -md(i,k)*(cond(i,k)-chat(i,k))
1265!     $              )
1266
1267! version 2
1268!                  fluxin =  mu(i,k)*chat(i,k) - md(i,k)*cond(i,k)
1269!                  fluxout = mu(i,k)*conu(i,k) - md(i,k)*chat(i,k)
1270! version 3
1271                  fluxin =  mu(i,k)*min(chat(i,k),const(i,km1)) - md(i,k)*cond(i,k)
1272                  fluxout = mu(i,k)*conu(i,k) - md(i,k)*min(chat(i,k),const(i,k))
1273
1274                  netflux = fluxin - fluxout
1275                  if (abs(netflux) < max(fluxin,fluxout)*1.e-12_r8) then
1276                     netflux = 0._r8
1277                  endif
1278!                  dcondt(i,k) = netflux/dsubcld(i)
1279                  dcondt(i,k) = netflux/dptmp(i,k)
1280               else if (k > mx(i)) then
1281!                  dcondt(i,k) = dcondt(i,k-1)
1282                  dcondt(i,k) = 0._r8
1283               end if
1284            end do
1285         end do
1286
1287! Initialize to zero everywhere, then scatter tendency back to full array
1288         dqdt(:,:,m) = 0._r8
1289         do k = 1,pver
1290            kp1 = min(pver,k+1)
1291!DIR$ CONCURRENT
1292            do i = il1g,il2g
1293               dqdt(ideep(i),k,m) = dcondt(i,k)
1294            end do
1295         end do
1296
1297      end if      ! for doconvtran
1298
1299   end do
1300
1301   return
1302end subroutine convtran
1303
1304!=========================================================================================
1305
1306subroutine momtran(lchnk, ncol, &
1307                    domomtran,q       ,ncnst   ,mu      ,md    , &
1308                    du      ,eu      ,ed      ,dp      ,dsubcld , &
1309                    jt      ,mx      ,ideep   ,il1g    ,il2g    , &
1310                    nstep   ,dqdt    ,pguall     ,pgdall, icwu, icwd, dt, seten    )
1311!-----------------------------------------------------------------------
1312!
1313! Purpose:
1314! Convective transport of momentum
1315!
1316! Mixing ratios may be with respect to either dry or moist air
1317!
1318! Method:
1319! Based on the convtran subroutine by P. Rasch
1320! <Also include any applicable external references.>
1321!
1322! Author: J. Richter and P. Rasch
1323!
1324!-----------------------------------------------------------------------
1325   use shr_kind_mod, only: r8 => shr_kind_r8
1326#ifndef WRF_PORT
1327   use constituents,    only: cnst_get_type_byind
1328   use ppgrid
1329   use abortutils, only: endrun
1330#endif
1331   implicit none
1332!-----------------------------------------------------------------------
1333!
1334! Input arguments
1335!
1336   integer, intent(in) :: lchnk                 ! chunk identifier
1337   integer, intent(in) :: ncol                  ! number of atmospheric columns
1338   integer, intent(in) :: ncnst                 ! number of tracers to transport
1339   logical, intent(in) :: domomtran(ncnst)      ! flag for doing convective transport
1340   real(r8), intent(in) :: q(pcols,pver,ncnst)  ! Wind array
1341   real(r8), intent(in) :: mu(pcols,pver)       ! Mass flux up
1342   real(r8), intent(in) :: md(pcols,pver)       ! Mass flux down
1343   real(r8), intent(in) :: du(pcols,pver)       ! Mass detraining from updraft
1344   real(r8), intent(in) :: eu(pcols,pver)       ! Mass entraining from updraft
1345   real(r8), intent(in) :: ed(pcols,pver)       ! Mass entraining from downdraft
1346   real(r8), intent(in) :: dp(pcols,pver)       ! Delta pressure between interfaces
1347   real(r8), intent(in) :: dsubcld(pcols)       ! Delta pressure from cloud base to sfc
1348   real(r8), intent(in)    :: dt                       !  time step in seconds : 2*delta_t
1349
1350   integer, intent(in) :: jt(pcols)         ! Index of cloud top for each column
1351   integer, intent(in) :: mx(pcols)         ! Index of cloud top for each column
1352   integer, intent(in) :: ideep(pcols)      ! Gathering array
1353   integer, intent(in) :: il1g              ! Gathered min lon indices over which to operate
1354   integer, intent(in) :: il2g              ! Gathered max lon indices over which to operate
1355   integer, intent(in) :: nstep             ! Time step index
1356
1357
1358
1359! input/output
1360
1361   real(r8), intent(out) :: dqdt(pcols,pver,ncnst)  ! Tracer tendency array
1362
1363!--------------------------Local Variables------------------------------
1364
1365   integer i                 ! Work index
1366   integer k                 ! Work index
1367   integer kbm               ! Highest altitude index of cloud base
1368   integer kk                ! Work index
1369   integer kkp1              ! Work index
1370   integer kkm1              ! Work index
1371   integer km1               ! Work index
1372   integer kp1               ! Work index
1373   integer ktm               ! Highest altitude index of cloud top
1374   integer m                 ! Work index
1375   integer ii                 ! Work index
1376
1377   real(r8) cabv                 ! Mix ratio of constituent above
1378   real(r8) cbel                 ! Mix ratio of constituent below
1379   real(r8) cdifr                ! Normalized diff between cabv and cbel
1380   real(r8) chat(pcols,pver)     ! Mix ratio in env at interfaces
1381   real(r8) cond(pcols,pver)     ! Mix ratio in downdraft at interfaces
1382   real(r8) const(pcols,pver)    ! Gathered wind array
1383   real(r8) conu(pcols,pver)     ! Mix ratio in updraft at interfaces
1384   real(r8) dcondt(pcols,pver)   ! Gathered tend array
1385   real(r8) small                ! A small number
1386   real(r8) mbsth                ! Threshold for mass fluxes
1387   real(r8) mupdudp              ! A work variable
1388   real(r8) minc                 ! A work variable
1389   real(r8) maxc                 ! A work variable
1390   real(r8) fluxin               ! A work variable
1391   real(r8) fluxout              ! A work variable
1392   real(r8) netflux              ! A work variable
1393
1394   real(r8) momcu                ! constant for updraft pressure gradient term
1395   real(r8) momcd                ! constant for downdraft pressure gradient term
1396   real(r8) sum                  ! sum
1397   real(r8) sum2                  ! sum2
1398 
1399   real(r8) mududp(pcols,pver) ! working variable
1400   real(r8) mddudp(pcols,pver)     ! working variable
1401
1402   real(r8) pgu(pcols,pver)      ! Pressure gradient term for updraft
1403   real(r8) pgd(pcols,pver)      ! Pressure gradient term for downdraft
1404
1405   real(r8),intent(out) ::  pguall(pcols,pver,ncnst)      ! Apparent force from  updraft PG
1406   real(r8),intent(out) ::  pgdall(pcols,pver,ncnst)      ! Apparent force from  downdraft PG
1407
1408   real(r8),intent(out) ::  icwu(pcols,pver,ncnst)      ! In-cloud winds in updraft
1409   real(r8),intent(out) ::  icwd(pcols,pver,ncnst)      ! In-cloud winds in downdraft
1410
1411   real(r8),intent(out) ::  seten(pcols,pver) ! Dry static energy tendency
1412   real(r8)                 gseten(pcols,pver) ! Gathered dry static energy tendency
1413
1414   real(r8)  mflux(pcols,pverp,ncnst)   ! Gathered momentum flux
1415
1416   real(r8)  wind0(pcols,pver,ncnst)       !  gathered  wind before time step
1417   real(r8)  windf(pcols,pver,ncnst)       !  gathered  wind after time step
1418   real(r8) fkeb, fket, ketend_cons, ketend, utop, ubot, vtop, vbot, gset2
1419   
1420
1421!-----------------------------------------------------------------------
1422!
1423
1424! Initialize outgoing fields
1425   pguall(:,:,:)     = 0.0_r8
1426   pgdall(:,:,:)     = 0.0_r8
1427! Initialize in-cloud winds to environmental wind
1428   icwu(:ncol,:,:)       = q(:ncol,:,:)
1429   icwd(:ncol,:,:)       = q(:ncol,:,:)
1430
1431! Initialize momentum flux and  final winds
1432   mflux(:,:,:)       = 0.0_r8
1433   wind0(:,:,:)         = 0.0_r8
1434   windf(:,:,:)         = 0.0_r8
1435
1436! Initialize dry static energy
1437
1438   seten(:,:)         = 0.0_r8
1439   gseten(:,:)         = 0.0_r8
1440
1441! Define constants for parameterization
1442
1443   momcu = 0.4_r8
1444   momcd = 0.4_r8
1445
1446   small = 1.e-36_r8
1447! mbsth is the threshold below which we treat the mass fluxes as zero (in mb/s)
1448   mbsth = 1.e-15_r8
1449
1450! Find the highest level top and bottom levels of convection
1451   ktm = pver
1452   kbm = pver
1453   do i = il1g, il2g
1454      ktm = min(ktm,jt(i))
1455      kbm = min(kbm,mx(i))
1456   end do
1457
1458! Loop ever each wind component
1459   do m = 1, ncnst                    !start at m = 1 to transport momentum
1460      if (domomtran(m)) then
1461
1462! Gather up the winds and set tend to zero
1463         do k = 1,pver
1464            do i =il1g,il2g
1465               const(i,k) = q(ideep(i),k,m)
1466                wind0(i,k,m) = const(i,k)
1467            end do
1468         end do
1469
1470
1471! From now on work only with gathered data
1472
1473! Interpolate winds to interfaces
1474
1475         do k = 1,pver
1476            km1 = max(1,k-1)
1477            do i = il1g, il2g
1478
1479               ! use arithmetic mean
1480               chat(i,k) = 0.5_r8* (const(i,k)+const(i,km1))
1481
1482! Provisional up and down draft values
1483               conu(i,k) = chat(i,k)
1484               cond(i,k) = chat(i,k)
1485
1486!              provisional tends
1487               dcondt(i,k) = 0._r8
1488
1489            end do
1490         end do
1491
1492
1493!
1494! Pressure Perturbation Term
1495!
1496
1497      !Top boundary:  assume mu is zero
1498
1499         k=1
1500         pgu(:il2g,k) = 0.0_r8
1501         pgd(:il2g,k) = 0.0_r8
1502
1503         do k=2,pver-1
1504            km1 = max(1,k-1)
1505            kp1 = min(pver,k+1)
1506            do i = il1g,il2g
1507           
1508               !interior points
1509
1510               mududp(i,k) =  ( mu(i,k) * (const(i,k)- const(i,km1))/dp(i,km1) &
1511                           +  mu(i,kp1) * (const(i,kp1) - const(i,k))/dp(i,k))
1512
1513               pgu(i,k) = - momcu * 0.5_r8 * mududp(i,k)
1514                           
1515
1516               mddudp(i,k) =  ( md(i,k) * (const(i,k)- const(i,km1))/dp(i,km1) &
1517                           +  md(i,kp1) * (const(i,kp1) - const(i,k))/dp(i,k))
1518
1519               pgd(i,k) = - momcd * 0.5_r8 * mddudp(i,k)
1520
1521
1522            end do
1523         end do
1524
1525       ! bottom boundary
1526       k = pver
1527       km1 = max(1,k-1)
1528       do i=il1g,il2g
1529
1530          mududp(i,k) =   mu(i,k) * (const(i,k)- const(i,km1))/dp(i,km1)
1531          pgu(i,k) = - momcu *  mududp(i,k)
1532         
1533          mddudp(i,k) =   md(i,k) * (const(i,k)- const(i,km1))/dp(i,km1)
1534
1535          pgd(i,k) = - momcd * mddudp(i,k)
1536         
1537       end do
1538       
1539
1540!
1541! In-cloud velocity calculations
1542!
1543
1544! Do levels adjacent to top and bottom
1545         k = 2
1546         km1 = 1
1547         kk = pver
1548         kkm1 = max(1,kk-1)
1549         do i = il1g,il2g
1550            mupdudp = mu(i,kk) + du(i,kk)*dp(i,kk)
1551            if (mupdudp > mbsth) then
1552                 
1553               conu(i,kk) = (+eu(i,kk)*const(i,kk)*dp(i,kk)+pgu(i,kk)*dp(i,kk))/mupdudp
1554            endif
1555            if (md(i,k) < -mbsth) then
1556               cond(i,k) =  (-ed(i,km1)*const(i,km1)*dp(i,km1))-pgd(i,km1)*dp(i,km1)/md(i,k)
1557            endif
1558
1559                       
1560         end do
1561
1562
1563
1564! Updraft from bottom to top
1565         do kk = pver-1,1,-1
1566            kkm1 = max(1,kk-1)
1567            kkp1 = min(pver,kk+1)
1568            do i = il1g,il2g
1569               mupdudp = mu(i,kk) + du(i,kk)*dp(i,kk)
1570               if (mupdudp > mbsth) then
1571           
1572                  conu(i,kk) = (  mu(i,kkp1)*conu(i,kkp1)+eu(i,kk)* &
1573                                  const(i,kk)*dp(i,kk)+pgu(i,kk)*dp(i,kk))/mupdudp
1574               endif
1575            end do
1576
1577         end do
1578
1579
1580! Downdraft from top to bottom
1581         do k = 3,pver
1582            km1 = max(1,k-1)
1583            do i = il1g,il2g
1584               if (md(i,k) < -mbsth) then
1585                           
1586                  cond(i,k) =  (  md(i,km1)*cond(i,km1)-ed(i,km1)*const(i,km1) &
1587                                  *dp(i,km1)-pgd(i,km1)*dp(i,km1) )/md(i,k)
1588
1589               endif
1590            end do
1591         end do
1592
1593
1594         sum = 0._r8
1595         sum2 = 0._r8
1596
1597
1598         do k = ktm,pver
1599            km1 = max(1,k-1)
1600            kp1 = min(pver,k+1)
1601            do i = il1g,il2g
1602               ii = ideep(i)
1603       
1604! version 1 hard to check for roundoff errors
1605               dcondt(i,k) =  &
1606                           +(mu(i,kp1)* (conu(i,kp1)-chat(i,kp1)) &
1607                           -mu(i,k)*   (conu(i,k)-chat(i,k))      &
1608                           +md(i,kp1)* (cond(i,kp1)-chat(i,kp1)) &
1609                           -md(i,k)*   (cond(i,k)-chat(i,k)) &
1610                          )/dp(i,k)
1611
1612            end do
1613         end do
1614
1615  ! dcont for bottom layer
1616          !
1617          !DIR$ NOINTERCHANGE
1618          do k = kbm,pver
1619             km1 = max(1,k-1)
1620             do i = il1g,il2g
1621                if (k == mx(i)) then
1622
1623                   ! version 1
1624                   dcondt(i,k) = (1./dp(i,k))*   & 
1625                        (-mu(i,k)*(conu(i,k)-chat(i,k)) &
1626                        -md(i,k)*(cond(i,k)-chat(i,k)) &
1627                        )
1628                end if
1629             end do
1630          end do
1631
1632! Initialize to zero everywhere, then scatter tendency back to full array
1633         dqdt(:,:,m) = 0._r8
1634
1635         do k = 1,pver
1636            do i = il1g,il2g
1637               ii = ideep(i)
1638               dqdt(ii,k,m) = dcondt(i,k)
1639    ! Output apparent force on the mean flow from pressure gradient
1640               pguall(ii,k,m) = -pgu(i,k)
1641               pgdall(ii,k,m) = -pgd(i,k)
1642               icwu(ii,k,m)   =  conu(i,k)
1643               icwd(ii,k,m)   =  cond(i,k)
1644            end do
1645         end do
1646
1647          ! Calculate momentum flux in units of mb*m/s2
1648
1649          do k = ktm,pver
1650             do i = il1g,il2g
1651                ii = ideep(i)
1652                mflux(i,k,m) = &
1653                     -mu(i,k)*   (conu(i,k)-chat(i,k))      &
1654                     -md(i,k)*   (cond(i,k)-chat(i,k))
1655             end do
1656          end do
1657
1658
1659          ! Calculate winds at the end of the time step
1660
1661          do k = ktm,pver
1662             do i = il1g,il2g
1663                ii = ideep(i)
1664                km1 = max(1,k-1)
1665                kp1 = k+1
1666                windf(i,k,m) = const(i,k)    -   (mflux(i,kp1,m) - mflux(i,k,m)) * dt /dp(i,k)
1667
1668             end do
1669          end do
1670
1671       end if      ! for domomtran
1672   end do
1673
1674 ! Need to add an energy fix to account for the dissipation of kinetic energy
1675    ! Formulation follows from Boville and Bretherton (2003)
1676    ! formulation by PJR
1677
1678    do k = ktm,pver
1679       km1 = max(1,k-1)
1680       kp1 = min(pver,k+1)
1681       do i = il1g,il2g
1682
1683          ii = ideep(i)
1684
1685          ! calculate the KE fluxes at top and bot of layer
1686          ! based on a discrete approximation to b&b eq(35) F_KE = u*F_u + v*F_v at interface
1687          utop = (wind0(i,k,1)+wind0(i,km1,1))/2.
1688          vtop = (wind0(i,k,2)+wind0(i,km1,2))/2.
1689          ubot = (wind0(i,kp1,1)+wind0(i,k,1))/2.
1690          vbot = (wind0(i,kp1,2)+wind0(i,k,2))/2.
1691          fket = utop*mflux(i,k,1)   + vtop*mflux(i,k,2)    ! top of layer
1692          fkeb = ubot*mflux(i,k+1,1) + vbot*mflux(i,k+1,2)  ! bot of layer
1693
1694          ! divergence of these fluxes should give a conservative redistribution of KE
1695          ketend_cons = (fket-fkeb)/dp(i,k)
1696
1697          ! tendency in kinetic energy resulting from the momentum transport
1698          ketend = ((windf(i,k,1)**2 + windf(i,k,2)**2) - (wind0(i,k,1)**2 + wind0(i,k,2)**2))*0.5/dt
1699
1700          ! the difference should be the dissipation
1701          gset2 = ketend_cons - ketend
1702          gseten(i,k) = gset2
1703
1704       end do
1705
1706    end do
1707
1708    ! Scatter dry static energy to full array
1709    do k = 1,pver
1710       do i = il1g,il2g
1711          ii = ideep(i)
1712          seten(ii,k) = gseten(i,k)
1713
1714       end do
1715    end do
1716
1717   return
1718end subroutine momtran
1719
1720#ifndef WRF_PORT
1721!=========================================================================================
1722
1723subroutine buoyan(lchnk   ,ncol    , &
1724                  q       ,t       ,p       ,z       ,pf      , &
1725                  tp      ,qstp    ,tl      ,rl      ,cape    , &
1726                  pblt    ,lcl     ,lel     ,lon     ,mx      , &
1727                  rd      ,grav    ,cp      ,msg     , &
1728                  tpert   )
1729!-----------------------------------------------------------------------
1730!
1731! Purpose:
1732! <Say what the routine does>
1733!
1734! Method:
1735! <Describe the algorithm(s) used in the routine.>
1736! <Also include any applicable external references.>
1737!
1738! Author:
1739! This is contributed code not fully standardized by the CCM core group.
1740! The documentation has been enhanced to the degree that we are able.
1741! Reviewed:          P. Rasch, April 1996
1742!
1743!-----------------------------------------------------------------------
1744   implicit none
1745!-----------------------------------------------------------------------
1746!
1747! input arguments
1748!
1749   integer, intent(in) :: lchnk                 ! chunk identifier
1750   integer, intent(in) :: ncol                  ! number of atmospheric columns
1751
1752   real(r8), intent(in) :: q(pcols,pver)        ! spec. humidity
1753   real(r8), intent(in) :: t(pcols,pver)        ! temperature
1754   real(r8), intent(in) :: p(pcols,pver)        ! pressure
1755   real(r8), intent(in) :: z(pcols,pver)        ! height
1756   real(r8), intent(in) :: pf(pcols,pver+1)     ! pressure at interfaces
1757   real(r8), intent(in) :: pblt(pcols)          ! index of pbl depth
1758   real(r8), intent(in) :: tpert(pcols)         ! perturbation temperature by pbl processes
1759
1760!
1761! output arguments
1762!
1763   real(r8), intent(out) :: tp(pcols,pver)       ! parcel temperature
1764   real(r8), intent(out) :: qstp(pcols,pver)     ! saturation mixing ratio of parcel
1765   real(r8), intent(out) :: tl(pcols)            ! parcel temperature at lcl
1766   real(r8), intent(out) :: cape(pcols)          ! convective aval. pot. energy.
1767   integer lcl(pcols)        !
1768   integer lel(pcols)        !
1769   integer lon(pcols)        ! level of onset of deep convection
1770   integer mx(pcols)         ! level of max moist static energy
1771!
1772!--------------------------Local Variables------------------------------
1773!
1774   real(r8) capeten(pcols,5)     ! provisional value of cape
1775   real(r8) tv(pcols,pver)       !
1776   real(r8) tpv(pcols,pver)      !
1777   real(r8) buoy(pcols,pver)
1778
1779   real(r8) a1(pcols)
1780   real(r8) a2(pcols)
1781   real(r8) estp(pcols)
1782   real(r8) pl(pcols)
1783   real(r8) plexp(pcols)
1784   real(r8) hmax(pcols)
1785   real(r8) hmn(pcols)
1786   real(r8) y(pcols)
1787
1788   logical plge600(pcols)
1789   integer knt(pcols)
1790   integer lelten(pcols,5)
1791
1792   real(r8) cp
1793   real(r8) e
1794   real(r8) grav
1795
1796   integer i
1797   integer k
1798   integer msg
1799   integer n
1800
1801   real(r8) rd
1802   real(r8) rl
1803#ifdef PERGRO
1804   real(r8) rhd
1805#endif
1806!
1807!-----------------------------------------------------------------------
1808!
1809   do n = 1,5
1810      do i = 1,ncol
1811         lelten(i,n) = pver
1812         capeten(i,n) = 0._r8
1813      end do
1814   end do
1815!
1816   do i = 1,ncol
1817      lon(i) = pver
1818      knt(i) = 0
1819      lel(i) = pver
1820      mx(i) = lon(i)
1821      cape(i) = 0._r8
1822      hmax(i) = 0._r8
1823   end do
1824
1825   tp(:ncol,:) = t(:ncol,:)
1826   qstp(:ncol,:) = q(:ncol,:)
1827
1828!!! RBN - Initialize tv and buoy for output.
1829!!! tv=tv : tpv=tpv : qstp=q : buoy=0.
1830   tv(:ncol,:) = t(:ncol,:) *(1._r8+1.608*q(:ncol,:))/ (1._r8+q(:ncol,:))
1831   tpv(:ncol,:) = tv(:ncol,:)
1832   buoy(:ncol,:) = 0._r8
1833
1834!
1835! set "launching" level(mx) to be at maximum moist static energy.
1836! search for this level stops at planetary boundary layer top.
1837!
1838#ifdef PERGRO
1839   do k = pver,msg + 1,-1
1840      do i = 1,ncol
1841         hmn(i) = cp*t(i,k) + grav*z(i,k) + rl*q(i,k)
1842!
1843! Reset max moist static energy level when relative difference exceeds 1.e-4
1844!
1845         rhd = (hmn(i) - hmax(i))/(hmn(i) + hmax(i))
1846         if (k >= nint(pblt(i)) .and. k <= lon(i) .and. rhd > -1.e-4_r8) then
1847            hmax(i) = hmn(i)
1848            mx(i) = k
1849         end if
1850      end do
1851   end do
1852#else
1853   do k = pver,msg + 1,-1
1854      do i = 1,ncol
1855         hmn(i) = cp*t(i,k) + grav*z(i,k) + rl*q(i,k)
1856         if (k >= nint(pblt(i)) .and. k <= lon(i) .and. hmn(i) > hmax(i)) then
1857            hmax(i) = hmn(i)
1858            mx(i) = k
1859         end if
1860      end do
1861   end do
1862#endif
1863!
1864   do i = 1,ncol
1865      lcl(i) = mx(i)
1866      e = p(i,mx(i))*q(i,mx(i))/ (eps1+q(i,mx(i)))
1867      tl(i) = 2840._r8/ (3.5_r8*log(t(i,mx(i)))-log(e)-4.805_r8) + 55._r8
1868      if (tl(i) < t(i,mx(i))) then
1869         plexp(i) = (1._r8/ (0.2854_r8* (1._r8-0.28_r8*q(i,mx(i)))))
1870         pl(i) = p(i,mx(i))* (tl(i)/t(i,mx(i)))**plexp(i)
1871      else
1872         tl(i) = t(i,mx(i))
1873         pl(i) = p(i,mx(i))
1874      end if
1875   end do
1876
1877!
1878! calculate lifting condensation level (lcl).
1879!
1880   do k = pver,msg + 2,-1
1881      do i = 1,ncol
1882         if (k <= mx(i) .and. (p(i,k) > pl(i) .and. p(i,k-1) <= pl(i))) then
1883            lcl(i) = k - 1
1884         end if
1885      end do
1886   end do
1887!
1888! if lcl is above the nominal level of non-divergence (600 mbs),
1889! no deep convection is permitted (ensuing calculations
1890! skipped and cape retains initialized value of zero).
1891!
1892   do i = 1,ncol
1893      plge600(i) = pl(i).ge.600._r8
1894   end do
1895!
1896! initialize parcel properties in sub-cloud layer below lcl.
1897!
1898   do k = pver,msg + 1,-1
1899      do i=1,ncol
1900         if (k > lcl(i) .and. k <= mx(i) .and. plge600(i)) then
1901            tv(i,k) = t(i,k)* (1._r8+1.608_r8*q(i,k))/ (1._r8+q(i,k))
1902            qstp(i,k) = q(i,mx(i))
1903            tp(i,k) = t(i,mx(i))* (p(i,k)/p(i,mx(i)))**(0.2854_r8* (1._r8-0.28_r8*q(i,mx(i))))
1904!
1905! buoyancy is increased by 0.5 k as in tiedtke
1906!
1907!-jjh          tpv (i,k)=tp(i,k)*(1.+1.608*q(i,mx(i)))/
1908!-jjh     1                     (1.+q(i,mx(i)))
1909            tpv(i,k) = (tp(i,k)+tpert(i))*(1._r8+1.608_r8*q(i,mx(i)))/ (1._r8+q(i,mx(i)))
1910            buoy(i,k) = tpv(i,k) - tv(i,k) + tiedke_add
1911         end if
1912      end do
1913   end do
1914
1915!
1916! define parcel properties at lcl (i.e. level immediately above pl).
1917!
1918   do k = pver,msg + 1,-1
1919      do i=1,ncol
1920         if (k == lcl(i) .and. plge600(i)) then
1921            tv(i,k) = t(i,k)* (1._r8+1.608_r8*q(i,k))/ (1._r8+q(i,k))
1922            qstp(i,k) = q(i,mx(i))
1923            tp(i,k) = tl(i)* (p(i,k)/pl(i))**(0.2854_r8* (1._r8-0.28_r8*qstp(i,k)))
1924!              estp(i)  =exp(a-b/tp(i,k))
1925! use of different formulas for est has about 1 g/kg difference
1926! in qs at t= 300k, and 0.02 g/kg at t=263k, with the formula
1927! above giving larger qs.
1928!
1929            estp(i) = c1*exp((c2* (tp(i,k)-tfreez))/((tp(i,k)-tfreez)+c3))
1930
1931            qstp(i,k) = eps1*estp(i)/ (p(i,k)-estp(i))
1932            a1(i) = cp / rl + qstp(i,k) * (1._r8+ qstp(i,k) / eps1) * rl * eps1 / &
1933                    (rd * tp(i,k) ** 2)
1934            a2(i) = .5_r8* (qstp(i,k)* (1._r8+2._r8/eps1*qstp(i,k))* &
1935                    (1._r8+qstp(i,k)/eps1)*eps1**2*rl*rl/ &
1936                    (rd**2*tp(i,k)**4)-qstp(i,k)* &
1937                    (1._r8+qstp(i,k)/eps1)*2._r8*eps1*rl/ &
1938                    (rd*tp(i,k)**3))
1939            a1(i) = 1._r8/a1(i)
1940            a2(i) = -a2(i)*a1(i)**3
1941            y(i) = q(i,mx(i)) - qstp(i,k)
1942            tp(i,k) = tp(i,k) + a1(i)*y(i) + a2(i)*y(i)**2
1943!          estp(i)  =exp(a-b/tp(i,k))
1944            estp(i) = c1*exp((c2* (tp(i,k)-tfreez))/ ((tp(i,k)-tfreez)+c3))
1945
1946            qstp(i,k) = eps1*estp(i) / (p(i,k)-estp(i))
1947!
1948! buoyancy is increased by 0.5 k in cape calculation.
1949! dec. 9, 1994
1950!-jjh          tpv(i,k) =tp(i,k)*(1.+1.608*qstp(i,k))/(1.+q(i,mx(i)))
1951!
1952            tpv(i,k) = (tp(i,k)+tpert(i))* (1._r8+1.608_r8*qstp(i,k)) / (1._r8+q(i,mx(i)))
1953            buoy(i,k) = tpv(i,k) - tv(i,k) + tiedke_add
1954         end if
1955      end do
1956   end do
1957!
1958! main buoyancy calculation.
1959!
1960   do k = pver - 1,msg + 1,-1
1961      do i=1,ncol
1962         if (k < lcl(i) .and. plge600(i)) then
1963            tv(i,k) = t(i,k)* (1._r8+1.608_r8*q(i,k))/ (1._r8+q(i,k))
1964            qstp(i,k) = qstp(i,k+1)
1965            tp(i,k) = tp(i,k+1)* (p(i,k)/p(i,k+1))**(0.2854_r8* (1._r8-0.28_r8*qstp(i,k)))
1966!          estp(i) = exp(a-b/tp(i,k))
1967            estp(i) = c1*exp((c2* (tp(i,k)-tfreez))/((tp(i,k)-tfreez)+c3))
1968
1969            qstp(i,k) = eps1*estp(i)/ (p(i,k)-estp(i))
1970            a1(i) = cp/rl + qstp(i,k)* (1._r8+qstp(i,k)/eps1)*rl*eps1/ (rd*tp(i,k)**2)
1971            a2(i) = .5_r8* (qstp(i,k)* (1._r8+2._r8/eps1*qstp(i,k))* &
1972                    (1._r8+qstp(i,k)/eps1)*eps1**2*rl*rl/ &
1973                    (rd**2*tp(i,k)**4)-qstp(i,k)* &
1974                    (1._r8+qstp(i,k)/eps1)*2._r8*eps1*rl/ &
1975                    (rd*tp(i,k)**3))
1976            a1(i) = 1._r8/a1(i)
1977            a2(i) = -a2(i)*a1(i)**3
1978            y(i) = qstp(i,k+1) - qstp(i,k)
1979            tp(i,k) = tp(i,k) + a1(i)*y(i) + a2(i)*y(i)**2
1980!          estp(i)  =exp(a-b/tp(i,k))
1981            estp(i) = c1*exp((c2* (tp(i,k)-tfreez))/ ((tp(i,k)-tfreez)+c3))
1982
1983            qstp(i,k) = eps1*estp(i)/ (p(i,k)-estp(i))
1984!-jjh          tpv(i,k) =tp(i,k)*(1.+1.608*qstp(i,k))/
1985!jt            (1.+q(i,mx(i)))
1986            tpv(i,k) = (tp(i,k)+tpert(i))* (1._r8+1.608_r8*qstp(i,k))/(1._r8+q(i,mx(i)))
1987            buoy(i,k) = tpv(i,k) - tv(i,k) + tiedke_add
1988         end if
1989      end do
1990   end do
1991
1992!
1993   do k = msg + 2,pver
1994      do i = 1,ncol
1995         if (k < lcl(i) .and. plge600(i)) then
1996            if (buoy(i,k+1) > 0._r8 .and. buoy(i,k) <= 0._r8) then
1997               knt(i) = min(5,knt(i) + 1)
1998               lelten(i,knt(i)) = k
1999            end if
2000         end if
2001      end do
2002   end do
2003!
2004! calculate convective available potential energy (cape).
2005!
2006   do n = 1,5
2007      do k = msg + 1,pver
2008         do i = 1,ncol
2009            if (plge600(i) .and. k <= mx(i) .and. k > lelten(i,n)) then
2010               capeten(i,n) = capeten(i,n) + rd*buoy(i,k)*log(pf(i,k+1)/pf(i,k))
2011            end if
2012         end do
2013      end do
2014   end do
2015!
2016! find maximum cape from all possible tentative capes from
2017! one sounding,
2018! and use it as the final cape, april 26, 1995
2019!
2020   do n = 1,5
2021      do i = 1,ncol
2022         if (capeten(i,n) > cape(i)) then
2023            cape(i) = capeten(i,n)
2024            lel(i) = lelten(i,n)
2025         end if
2026      end do
2027   end do
2028!
2029! put lower bound on cape for diagnostic purposes.
2030!
2031   do i = 1,ncol
2032      cape(i) = max(cape(i), 0._r8)
2033   end do
2034!
2035   return
2036end subroutine buoyan
2037
2038#endif
2039
2040subroutine cldprp(lchnk   , &
2041                  q       ,t       ,u       ,v       ,p       , &
2042                  z       ,s       ,mu      ,eu      ,du      , &
2043                  md      ,ed      ,sd      ,qd      ,mc      , &
2044                  qu      ,su      ,zf      ,qst     ,hmn     , &
2045                  hsat    ,shat    ,ql      , &
2046                  cmeg    ,jb      ,lel     ,jt      ,jlcl    , &
2047                  mx      ,j0      ,jd      ,rl      ,il2g    , &
2048                  rd      ,grav    ,cp      ,msg     , &
2049                  pflx    ,evp     ,cu      ,rprd    ,limcnv  ,landfrac)
2050!-----------------------------------------------------------------------
2051!
2052! Purpose:
2053! <Say what the routine does>
2054!
2055! Method:
2056! may 09/91 - guang jun zhang, m.lazare, n.mcfarlane.
2057!             original version cldprop.
2058!
2059! Author: See above, modified by P. Rasch
2060! This is contributed code not fully standardized by the CCM core group.
2061!
2062! this code is very much rougher than virtually anything else in the CCM
2063! there are debug statements left strewn about and code segments disabled
2064! these are to facilitate future development. We expect to release a
2065! cleaner code in a future release
2066!
2067! the documentation has been enhanced to the degree that we are able
2068!
2069!-----------------------------------------------------------------------
2070
2071   implicit none
2072
2073!------------------------------------------------------------------------------
2074!
2075! Input arguments
2076!
2077   integer, intent(in) :: lchnk                  ! chunk identifier
2078
2079   real(r8), intent(in) :: q(pcols,pver)         ! spec. humidity of env
2080   real(r8), intent(in) :: t(pcols,pver)         ! temp of env
2081   real(r8), intent(in) :: p(pcols,pver)         ! pressure of env
2082   real(r8), intent(in) :: z(pcols,pver)         ! height of env
2083   real(r8), intent(in) :: s(pcols,pver)         ! normalized dry static energy of env
2084   real(r8), intent(in) :: zf(pcols,pverp)       ! height of interfaces
2085   real(r8), intent(in) :: u(pcols,pver)         ! zonal velocity of env
2086   real(r8), intent(in) :: v(pcols,pver)         ! merid. velocity of env
2087   real(r8), intent(in) :: landfrac(pcols) ! RBN Landfrac
2088
2089   integer, intent(in) :: jb(pcols)              ! updraft base level
2090   integer, intent(in) :: lel(pcols)             ! updraft launch level
2091   integer, intent(out) :: jt(pcols)              ! updraft plume top
2092   integer, intent(out) :: jlcl(pcols)            ! updraft lifting cond level
2093   integer, intent(in) :: mx(pcols)              ! updraft base level (same is jb)
2094   integer, intent(out) :: j0(pcols)              ! level where updraft begins detraining
2095   integer, intent(out) :: jd(pcols)              ! level of downdraft
2096   integer, intent(in) :: limcnv                 ! convection limiting level
2097   integer, intent(in) :: il2g                   !CORE GROUP REMOVE
2098   integer, intent(in) :: msg                    ! missing moisture vals (always 0)
2099   real(r8), intent(in) :: rl                    ! latent heat of vap
2100   real(r8), intent(in) :: shat(pcols,pver)      ! interface values of dry stat energy
2101!
2102! output
2103!
2104   real(r8), intent(out) :: rprd(pcols,pver)     ! rate of production of precip at that layer
2105   real(r8), intent(out) :: du(pcols,pver)       ! detrainement rate of updraft
2106   real(r8), intent(out) :: ed(pcols,pver)       ! entrainment rate of downdraft
2107   real(r8), intent(out) :: eu(pcols,pver)       ! entrainment rate of updraft
2108   real(r8), intent(out) :: hmn(pcols,pver)      ! moist stat energy of env
2109   real(r8), intent(out) :: hsat(pcols,pver)     ! sat moist stat energy of env
2110   real(r8), intent(out) :: mc(pcols,pver)       ! net mass flux
2111   real(r8), intent(out) :: md(pcols,pver)       ! downdraft mass flux
2112   real(r8), intent(out) :: mu(pcols,pver)       ! updraft mass flux
2113   real(r8), intent(out) :: pflx(pcols,pverp)    ! precipitation flux thru layer
2114   real(r8), intent(out) :: qd(pcols,pver)       ! spec humidity of downdraft
2115   real(r8), intent(out) :: ql(pcols,pver)       ! liq water of updraft
2116   real(r8), intent(out) :: qst(pcols,pver)      ! saturation spec humidity of env.
2117   real(r8), intent(out) :: qu(pcols,pver)       ! spec hum of updraft
2118   real(r8), intent(out) :: sd(pcols,pver)       ! normalized dry stat energy of downdraft
2119   real(r8), intent(out) :: su(pcols,pver)       ! normalized dry stat energy of updraft
2120
2121
2122   real(r8) rd                   ! gas constant for dry air
2123   real(r8) grav                 ! gravity
2124   real(r8) cp                   ! heat capacity of dry air
2125
2126!
2127! Local workspace
2128!
2129   real(r8) gamma(pcols,pver)
2130   real(r8) dz(pcols,pver)
2131   real(r8) iprm(pcols,pver)
2132   real(r8) hu(pcols,pver)
2133   real(r8) hd(pcols,pver)
2134   real(r8) eps(pcols,pver)
2135   real(r8) f(pcols,pver)
2136   real(r8) k1(pcols,pver)
2137   real(r8) i2(pcols,pver)
2138   real(r8) ihat(pcols,pver)
2139   real(r8) i3(pcols,pver)
2140   real(r8) idag(pcols,pver)
2141   real(r8) i4(pcols,pver)
2142   real(r8) qsthat(pcols,pver)
2143   real(r8) hsthat(pcols,pver)
2144   real(r8) gamhat(pcols,pver)
2145   real(r8) cu(pcols,pver)
2146   real(r8) evp(pcols,pver)
2147   real(r8) cmeg(pcols,pver)
2148   real(r8) qds(pcols,pver)
2149! RBN For c0mask
2150   real(r8) c0mask(pcols)
2151   real(r8) hmin(pcols)
2152   real(r8) expdif(pcols)
2153   real(r8) expnum(pcols)
2154   real(r8) ftemp(pcols)
2155   real(r8) eps0(pcols)
2156   real(r8) rmue(pcols)
2157   real(r8) zuef(pcols)
2158   real(r8) zdef(pcols)
2159   real(r8) epsm(pcols)
2160   real(r8) ratmjb(pcols)
2161   real(r8) est(pcols)
2162   real(r8) totpcp(pcols)
2163   real(r8) totevp(pcols)
2164   real(r8) alfa(pcols)
2165   real(r8) ql1
2166   real(r8) tu
2167   real(r8) estu
2168   real(r8) qstu
2169
2170   real(r8) small
2171   real(r8) mdt
2172
2173   integer khighest
2174   integer klowest
2175   integer kount
2176   integer i,k
2177
2178   logical doit(pcols)
2179   logical done(pcols)
2180!
2181!------------------------------------------------------------------------------
2182!
2183   do i = 1,il2g
2184      ftemp(i) = 0._r8
2185      expnum(i) = 0._r8
2186      expdif(i) = 0._r8
2187      c0mask(i)  = c0_ocn * (1._r8-landfrac(i)) +   c0_lnd * landfrac(i)
2188   end do
2189!
2190!jr Change from msg+1 to 1 to prevent blowup
2191!
2192   do k = 1,pver
2193      do i = 1,il2g
2194         dz(i,k) = zf(i,k) - zf(i,k+1)
2195      end do
2196   end do
2197
2198!
2199! initialize many output and work variables to zero
2200!
2201   pflx(:il2g,1) = 0
2202
2203   do k = 1,pver
2204      do i = 1,il2g
2205         k1(i,k) = 0._r8
2206         i2(i,k) = 0._r8
2207         i3(i,k) = 0._r8
2208         i4(i,k) = 0._r8
2209         mu(i,k) = 0._r8
2210         f(i,k) = 0._r8
2211         eps(i,k) = 0._r8
2212         eu(i,k) = 0._r8
2213         du(i,k) = 0._r8
2214         ql(i,k) = 0._r8
2215         cu(i,k) = 0._r8
2216         evp(i,k) = 0._r8
2217         cmeg(i,k) = 0._r8
2218         qds(i,k) = q(i,k)
2219         md(i,k) = 0._r8
2220         ed(i,k) = 0._r8
2221         sd(i,k) = s(i,k)
2222         qd(i,k) = q(i,k)
2223         mc(i,k) = 0._r8
2224         qu(i,k) = q(i,k)
2225         su(i,k) = s(i,k)
2226!        est(i)=exp(a-b/t(i,k))
2227         est(i) = c1*exp((c2* (t(i,k)-tfreez))/((t(i,k)-tfreez)+c3))
2228!++bee
2229         if ( p(i,k)-est(i) > 0._r8 ) then
2230            qst(i,k) = eps1*est(i)/ (p(i,k)-est(i))
2231         else
2232            qst(i,k) = 1.0_r8
2233         end if
2234!--bee
2235         gamma(i,k) = qst(i,k)*(1._r8 + qst(i,k)/eps1)*eps1*rl/(rd*t(i,k)**2)*rl/cp
2236         hmn(i,k) = cp*t(i,k) + grav*z(i,k) + rl*q(i,k)
2237         hsat(i,k) = cp*t(i,k) + grav*z(i,k) + rl*qst(i,k)
2238         hu(i,k) = hmn(i,k)
2239         hd(i,k) = hmn(i,k)
2240         rprd(i,k) = 0._r8
2241      end do
2242   end do
2243!
2244!jr Set to zero things which make this routine blow up
2245!
2246   do k=1,msg
2247      do i=1,il2g
2248         rprd(i,k) = 0._r8
2249      end do
2250   end do
2251!
2252! interpolate the layer values of qst, hsat and gamma to
2253! layer interfaces
2254!
2255   do i = 1,il2g
2256      hsthat(i,msg+1) = hsat(i,msg+1)
2257      qsthat(i,msg+1) = qst(i,msg+1)
2258      gamhat(i,msg+1) = gamma(i,msg+1)
2259      totpcp(i) = 0._r8
2260      totevp(i) = 0._r8
2261   end do
2262   do k = msg + 2,pver
2263      do i = 1,il2g
2264         if (abs(qst(i,k-1)-qst(i,k)) > 1.E-6_r8) then
2265            qsthat(i,k) = log(qst(i,k-1)/qst(i,k))*qst(i,k-1)*qst(i,k)/ (qst(i,k-1)-qst(i,k))
2266         else
2267            qsthat(i,k) = qst(i,k)
2268         end if
2269         hsthat(i,k) = cp*shat(i,k) + rl*qsthat(i,k)
2270         if (abs(gamma(i,k-1)-gamma(i,k)) > 1.E-6_r8) then
2271            gamhat(i,k) = log(gamma(i,k-1)/gamma(i,k))*gamma(i,k-1)*gamma(i,k)/ &
2272                                (gamma(i,k-1)-gamma(i,k))
2273         else
2274            gamhat(i,k) = gamma(i,k)
2275         end if
2276      end do
2277   end do
2278!
2279! initialize cloud top to highest plume top.
2280!jr changed hard-wired 4 to limcnv+1 (not to exceed pver)
2281!
2282   jt(:) = pver
2283   do i = 1,il2g
2284      jt(i) = max(lel(i),limcnv+1)
2285      jt(i) = min(jt(i),pver)
2286      jd(i) = pver
2287      jlcl(i) = lel(i)
2288      hmin(i) = 1.E6_r8
2289   end do
2290!
2291! find the level of minimum hsat, where detrainment starts
2292!
2293   do k = msg + 1,pver
2294      do i = 1,il2g
2295         if (hsat(i,k) <= hmin(i) .and. k >= jt(i) .and. k <= jb(i)) then
2296            hmin(i) = hsat(i,k)
2297            j0(i) = k
2298         end if
2299      end do
2300   end do
2301   do i = 1,il2g
2302      j0(i) = min(j0(i),jb(i)-2)
2303      j0(i) = max(j0(i),jt(i)+2)
2304!
2305! Fix from Guang Zhang to address out of bounds array reference
2306!
2307      j0(i) = min(j0(i),pver)
2308   end do
2309!
2310! Initialize certain arrays inside cloud
2311!
2312   do k = msg + 1,pver
2313      do i = 1,il2g
2314         if (k >= jt(i) .and. k <= jb(i)) then
2315            hu(i,k) = hmn(i,mx(i)) + cp*tiedke_add
2316            su(i,k) = s(i,mx(i)) + tiedke_add
2317         end if
2318      end do
2319   end do
2320!
2321! *********************************************************
2322! compute taylor series for approximate eps(z) below
2323! *********************************************************
2324!
2325   do k = pver - 1,msg + 1,-1
2326      do i = 1,il2g
2327         if (k < jb(i) .and. k >= jt(i)) then
2328            k1(i,k) = k1(i,k+1) + (hmn(i,mx(i))-hmn(i,k))*dz(i,k)
2329            ihat(i,k) = 0.5_r8* (k1(i,k+1)+k1(i,k))
2330            i2(i,k) = i2(i,k+1) + ihat(i,k)*dz(i,k)
2331            idag(i,k) = 0.5_r8* (i2(i,k+1)+i2(i,k))
2332            i3(i,k) = i3(i,k+1) + idag(i,k)*dz(i,k)
2333            iprm(i,k) = 0.5_r8* (i3(i,k+1)+i3(i,k))
2334            i4(i,k) = i4(i,k+1) + iprm(i,k)*dz(i,k)
2335         end if
2336      end do
2337   end do
2338!
2339! re-initialize hmin array for ensuing calculation.
2340!
2341   do i = 1,il2g
2342      hmin(i) = 1.E6_r8
2343   end do
2344   do k = msg + 1,pver
2345      do i = 1,il2g
2346         if (k >= j0(i) .and. k <= jb(i) .and. hmn(i,k) <= hmin(i)) then
2347            hmin(i) = hmn(i,k)
2348            expdif(i) = hmn(i,mx(i)) - hmin(i)
2349         end if
2350      end do
2351   end do
2352!
2353! *********************************************************
2354! compute approximate eps(z) using above taylor series
2355! *********************************************************
2356!
2357   do k = msg + 2,pver
2358      do i = 1,il2g
2359         expnum(i) = 0._r8
2360         ftemp(i) = 0._r8
2361         if (k < jt(i) .or. k >= jb(i)) then
2362            k1(i,k) = 0._r8
2363            expnum(i) = 0._r8
2364         else
2365            expnum(i) = hmn(i,mx(i)) - (hsat(i,k-1)*(zf(i,k)-z(i,k)) + &
2366                        hsat(i,k)* (z(i,k-1)-zf(i,k)))/(z(i,k-1)-z(i,k))
2367         end if
2368         if ((expdif(i) > 100._r8 .and. expnum(i) > 0._r8) .and. &
2369             k1(i,k) > expnum(i)*dz(i,k)) then
2370            ftemp(i) = expnum(i)/k1(i,k)
2371            f(i,k) = ftemp(i) + i2(i,k)/k1(i,k)*ftemp(i)**2 + &
2372                     (2._r8*i2(i,k)**2-k1(i,k)*i3(i,k))/k1(i,k)**2* &
2373                     ftemp(i)**3 + (-5._r8*k1(i,k)*i2(i,k)*i3(i,k)+ &
2374                     5._r8*i2(i,k)**3+k1(i,k)**2*i4(i,k))/ &
2375                     k1(i,k)**3*ftemp(i)**4
2376            f(i,k) = max(f(i,k),0._r8)
2377            f(i,k) = min(f(i,k),0.0002_r8)
2378         end if
2379      end do
2380   end do
2381   do i = 1,il2g
2382      if (j0(i) < jb(i)) then
2383         if (f(i,j0(i)) < 1.E-6_r8 .and. f(i,j0(i)+1) > f(i,j0(i))) j0(i) = j0(i) + 1
2384      end if
2385   end do
2386   do k = msg + 2,pver
2387      do i = 1,il2g
2388         if (k >= jt(i) .and. k <= j0(i)) then
2389            f(i,k) = max(f(i,k),f(i,k-1))
2390         end if
2391      end do
2392   end do
2393   do i = 1,il2g
2394      eps0(i) = f(i,j0(i))
2395      eps(i,jb(i)) = eps0(i)
2396   end do
2397!
2398! This is set to match the Rasch and Kristjansson paper
2399!
2400   do k = pver,msg + 1,-1
2401      do i = 1,il2g
2402         if (k >= j0(i) .and. k <= jb(i)) then
2403            eps(i,k) = f(i,j0(i))
2404         end if
2405      end do
2406   end do
2407   do k = pver,msg + 1,-1
2408      do i = 1,il2g
2409         if (k < j0(i) .and. k >= jt(i)) eps(i,k) = f(i,k)
2410      end do
2411   end do
2412!
2413! specify the updraft mass flux mu, entrainment eu, detrainment du
2414! and moist static energy hu.
2415! here and below mu, eu,du, md and ed are all normalized by mb
2416!
2417   do i = 1,il2g
2418      if (eps0(i) > 0._r8) then
2419         mu(i,jb(i)) = 1._r8
2420         eu(i,jb(i)) = mu(i,jb(i))/dz(i,jb(i))
2421      end if
2422   end do
2423   do k = pver,msg + 1,-1
2424      do i = 1,il2g
2425         if (eps0(i) > 0._r8 .and. (k >= jt(i) .and. k < jb(i))) then
2426            zuef(i) = zf(i,k) - zf(i,jb(i))
2427            rmue(i) = (1._r8/eps0(i))* (exp(eps(i,k+1)*zuef(i))-1._r8)/zuef(i)
2428            mu(i,k) = (1._r8/eps0(i))* (exp(eps(i,k  )*zuef(i))-1._r8)/zuef(i)
2429            eu(i,k) = (rmue(i)-mu(i,k+1))/dz(i,k)
2430            du(i,k) = (rmue(i)-mu(i,k))/dz(i,k)
2431         end if
2432      end do
2433   end do
2434!
2435   khighest = pverp
2436   klowest = 1
2437   do i=1,il2g
2438      khighest = min(khighest,lel(i))
2439      klowest = max(klowest,jb(i))
2440   end do
2441   do k = klowest-1,khighest,-1
2442!cdir$ ivdep
2443      do i = 1,il2g
2444         if (k <= jb(i)-1 .and. k >= lel(i) .and. eps0(i) > 0._r8) then
2445            if (mu(i,k) < 0.01_r8) then
2446               hu(i,k) = hu(i,jb(i))
2447               mu(i,k) = 0._r8
2448               eu(i,k) = 0._r8
2449               du(i,k) = mu(i,k+1)/dz(i,k)
2450            else
2451               hu(i,k) = mu(i,k+1)/mu(i,k)*hu(i,k+1) + &
2452                         dz(i,k)/mu(i,k)* (eu(i,k)*hmn(i,k)- du(i,k)*hsat(i,k))
2453            end if
2454         end if
2455      end do
2456   end do
2457!
2458! reset cloud top index beginning from two layers above the
2459! cloud base (i.e. if cloud is only one layer thick, top is not reset
2460!
2461   do i=1,il2g
2462      doit(i) = .true.
2463   end do
2464   do k=klowest-2,khighest-1,-1
2465      do i=1,il2g
2466         if (doit(i) .and. k <= jb(i)-2 .and. k >= lel(i)-1) then
2467           if (hu(i,k) <= hsthat(i,k) .and. hu(i,k+1) > hsthat(i,k+1) &
2468               .and. mu(i,k) >= 0.02_r8) then
2469               if (hu(i,k)-hsthat(i,k) < -2000._r8) then
2470                  jt(i) = k + 1
2471                  doit(i) = .false.
2472               else
2473                  jt(i) = k
2474                  if (eps0(i) <= 0._r8) doit(i) = .false.
2475               end if
2476            else if (hu(i,k) > hu(i,jb(i)) .or. mu(i,k) < 0.01_r8) then
2477               jt(i) = k + 1
2478               doit(i) = .false.
2479            end if
2480         end if
2481      end do
2482   end do
2483   do k = pver,msg + 1,-1
2484!cdir$ ivdep
2485      do i = 1,il2g
2486         if (k >= lel(i) .and. k <= jt(i) .and. eps0(i) > 0._r8) then
2487            mu(i,k) = 0._r8
2488            eu(i,k) = 0._r8
2489            du(i,k) = 0._r8
2490            hu(i,k) = hu(i,jb(i))
2491         end if
2492         if (k == jt(i) .and. eps0(i) > 0._r8) then
2493            du(i,k) = mu(i,k+1)/dz(i,k)
2494            eu(i,k) = 0._r8
2495            mu(i,k) = 0._r8
2496         end if
2497      end do
2498   end do
2499!
2500! specify downdraft properties (no downdrafts if jd.ge.jb).
2501! scale down downward mass flux profile so that net flux
2502! (up-down) at cloud base in not negative.
2503!
2504   do i = 1,il2g
2505!
2506! in normal downdraft strength run alfa=0.2.  In test4 alfa=0.1
2507!
2508      alfa(i) = 0.1_r8
2509      jt(i) = min(jt(i),jb(i)-1)
2510      jd(i) = max(j0(i),jt(i)+1)
2511      jd(i) = min(jd(i),jb(i))
2512      hd(i,jd(i)) = hmn(i,jd(i)-1)
2513      if (jd(i) < jb(i) .and. eps0(i) > 0._r8) then
2514         epsm(i) = eps0(i)
2515         md(i,jd(i)) = -alfa(i)*epsm(i)/eps0(i)
2516      end if
2517   end do
2518   do k = msg + 1,pver
2519      do i = 1,il2g
2520         if ((k > jd(i) .and. k <= jb(i)) .and. eps0(i) > 0._r8) then
2521            zdef(i) = zf(i,jd(i)) - zf(i,k)
2522            md(i,k) = -alfa(i)/ (2._r8*eps0(i))*(exp(2._r8*epsm(i)*zdef(i))-1._r8)/zdef(i)
2523         end if
2524      end do
2525   end do
2526   do k = msg + 1,pver
2527      do i = 1,il2g
2528         if ((k >= jt(i) .and. k <= jb(i)) .and. eps0(i) > 0._r8 .and. jd(i) < jb(i)) then
2529            ratmjb(i) = min(abs(mu(i,jb(i))/md(i,jb(i))),1._r8)
2530            md(i,k) = md(i,k)*ratmjb(i)
2531         end if
2532      end do
2533   end do
2534
2535   small = 1.e-20_r8
2536   do k = msg + 1,pver
2537      do i = 1,il2g
2538         if ((k >= jt(i) .and. k <= pver) .and. eps0(i) > 0._r8) then
2539            ed(i,k-1) = (md(i,k-1)-md(i,k))/dz(i,k-1)
2540            mdt = min(md(i,k),-small)
2541            hd(i,k) = (md(i,k-1)*hd(i,k-1) - dz(i,k-1)*ed(i,k-1)*hmn(i,k-1))/mdt
2542         end if
2543      end do
2544   end do
2545!
2546! calculate updraft and downdraft properties.
2547!
2548   do k = msg + 2,pver
2549      do i = 1,il2g
2550         if ((k >= jd(i) .and. k <= jb(i)) .and. eps0(i) > 0._r8 .and. jd(i) < jb(i)) then
2551            qds(i,k) = qsthat(i,k) + gamhat(i,k)*(hd(i,k)-hsthat(i,k))/ &
2552               (rl*(1._r8 + gamhat(i,k)))
2553         end if
2554      end do
2555   end do
2556!
2557   do i = 1,il2g
2558      done(i) = .false.
2559   end do
2560   kount = 0
2561   do k = pver,msg + 2,-1
2562      do i = 1,il2g
2563         if (( .not. done(i) .and. k > jt(i) .and. k < jb(i)) .and. eps0(i) > 0._r8) then
2564            su(i,k) = mu(i,k+1)/mu(i,k)*su(i,k+1) + &
2565                      dz(i,k)/mu(i,k)* (eu(i,k)-du(i,k))*s(i,k)
2566            qu(i,k) = mu(i,k+1)/mu(i,k)*qu(i,k+1) + dz(i,k)/mu(i,k)* (eu(i,k)*q(i,k)- &
2567                            du(i,k)*qst(i,k))
2568            tu = su(i,k) - grav/cp*zf(i,k)
2569            estu = c1*exp((c2* (tu-tfreez))/ ((tu-tfreez)+c3))
2570            qstu = eps1*estu/ ((p(i,k)+p(i,k-1))/2._r8-estu)
2571            if (qu(i,k) >= qstu) then
2572               jlcl(i) = k
2573               kount = kount + 1
2574               done(i) = .true.
2575            end if
2576         end if
2577      end do
2578      if (kount >= il2g) goto 690
2579   end do
2580690 continue
2581   do k = msg + 2,pver
2582      do i = 1,il2g
2583         if (k == jb(i) .and. eps0(i) > 0._r8) then
2584            qu(i,k) = q(i,mx(i))
2585            su(i,k) = (hu(i,k)-rl*qu(i,k))/cp
2586         end if
2587         if ((k > jt(i) .and. k <= jlcl(i)) .and. eps0(i) > 0._r8) then
2588            su(i,k) = shat(i,k) + (hu(i,k)-hsthat(i,k))/(cp* (1._r8+gamhat(i,k)))
2589            qu(i,k) = qsthat(i,k) + gamhat(i,k)*(hu(i,k)-hsthat(i,k))/ &
2590                     (rl* (1._r8+gamhat(i,k)))
2591         end if
2592      end do
2593   end do
2594
2595! compute condensation in updraft
2596   do k = pver,msg + 2,-1
2597      do i = 1,il2g
2598         if (k >= jt(i) .and. k < jb(i) .and. eps0(i) > 0._r8) then
2599            cu(i,k) = ((mu(i,k)*su(i,k)-mu(i,k+1)*su(i,k+1))/ &
2600                      dz(i,k)- (eu(i,k)-du(i,k))*s(i,k))/(rl/cp)
2601            if (k == jt(i)) cu(i,k) = 0._r8
2602            cu(i,k) = max(0._r8,cu(i,k))
2603         end if
2604      end do
2605   end do
2606
2607! compute condensed liquid, rain production rate
2608! accumulate total precipitation (condensation - detrainment of liquid)
2609! Note ql1 = ql(k) + rprd(k)*dz(k)/mu(k)
2610! The differencing is somewhat strange (e.g. du(i,k)*ql(i,k+1)) but is
2611! consistently applied.
2612!    mu, ql are interface quantities
2613!    cu, du, eu, rprd are midpoint quantites
2614   do k = pver,msg + 2,-1
2615      do i = 1,il2g
2616         rprd(i,k) = 0._r8
2617         if (k >= jt(i) .and. k < jb(i) .and. eps0(i) > 0._r8 .and. mu(i,k) >= 0.0_r8) then
2618            if (mu(i,k) > 0._r8) then
2619               ql1 = 1._r8/mu(i,k)* (mu(i,k+1)*ql(i,k+1)- &
2620                     dz(i,k)*du(i,k)*ql(i,k+1)+dz(i,k)*cu(i,k))
2621               ql(i,k) = ql1/ (1._r8+dz(i,k)*c0mask(i))
2622            else
2623               ql(i,k) = 0._r8
2624            end if
2625            totpcp(i) = totpcp(i) + dz(i,k)*(cu(i,k)-du(i,k)*ql(i,k+1))
2626            rprd(i,k) = c0mask(i)*mu(i,k)*ql(i,k)
2627         end if
2628      end do
2629   end do
2630!
2631   do i = 1,il2g
2632      qd(i,jd(i)) = qds(i,jd(i))
2633      sd(i,jd(i)) = (hd(i,jd(i)) - rl*qd(i,jd(i)))/cp
2634   end do
2635!
2636   do k = msg + 2,pver
2637      do i = 1,il2g
2638         if (k >= jd(i) .and. k < jb(i) .and. eps0(i) > 0._r8) then
2639            qd(i,k+1) = qds(i,k+1)
2640            evp(i,k) = -ed(i,k)*q(i,k) + (md(i,k)*qd(i,k)-md(i,k+1)*qd(i,k+1))/dz(i,k)
2641            evp(i,k) = max(evp(i,k),0._r8)
2642            mdt = min(md(i,k+1),-small)
2643            sd(i,k+1) = ((rl/cp*evp(i,k)-ed(i,k)*s(i,k))*dz(i,k) + md(i,k)*sd(i,k))/mdt
2644            totevp(i) = totevp(i) - dz(i,k)*ed(i,k)*q(i,k)
2645         end if
2646      end do
2647   end do
2648   do i = 1,il2g
2649!*guang         totevp(i) = totevp(i) + md(i,jd(i))*q(i,jd(i)-1) -
2650      totevp(i) = totevp(i) + md(i,jd(i))*qd(i,jd(i)) - md(i,jb(i))*qd(i,jb(i))
2651   end do
2652!!$   if (.true.) then
2653   if (.false.) then
2654      do i = 1,il2g
2655         k = jb(i)
2656         if (eps0(i) > 0._r8) then
2657            evp(i,k) = -ed(i,k)*q(i,k) + (md(i,k)*qd(i,k))/dz(i,k)
2658            evp(i,k) = max(evp(i,k),0._r8)
2659            totevp(i) = totevp(i) - dz(i,k)*ed(i,k)*q(i,k)
2660         end if
2661      end do
2662   endif
2663
2664   do i = 1,il2g
2665      totpcp(i) = max(totpcp(i),0._r8)
2666      totevp(i) = max(totevp(i),0._r8)
2667   end do
2668!
2669   do k = msg + 2,pver
2670      do i = 1,il2g
2671         if (totevp(i) > 0._r8 .and. totpcp(i) > 0._r8) then
2672            md(i,k)  = md (i,k)*min(1._r8, totpcp(i)/(totevp(i)+totpcp(i)))
2673            ed(i,k)  = ed (i,k)*min(1._r8, totpcp(i)/(totevp(i)+totpcp(i)))
2674            evp(i,k) = evp(i,k)*min(1._r8, totpcp(i)/(totevp(i)+totpcp(i)))
2675         else
2676            md(i,k) = 0._r8
2677            ed(i,k) = 0._r8
2678            evp(i,k) = 0._r8
2679         end if
2680! cmeg is the cloud water condensed - rain water evaporated
2681! rprd is the cloud water converted to rain - (rain evaporated)
2682         cmeg(i,k) = cu(i,k) - evp(i,k)
2683         rprd(i,k) = rprd(i,k)-evp(i,k)
2684      end do
2685   end do
2686
2687! compute the net precipitation flux across interfaces
2688   pflx(:il2g,1) = 0._r8
2689   do k = 2,pverp
2690      do i = 1,il2g
2691         pflx(i,k) = pflx(i,k-1) + rprd(i,k-1)*dz(i,k-1)
2692      end do
2693   end do
2694!
2695   do k = msg + 1,pver
2696      do i = 1,il2g
2697         mc(i,k) = mu(i,k) + md(i,k)
2698      end do
2699   end do
2700!
2701   return
2702end subroutine cldprp
2703
2704subroutine closure(lchnk   , &
2705                   q       ,t       ,p       ,z       ,s       , &
2706                   tp      ,qs      ,qu      ,su      ,mc      , &
2707                   du      ,mu      ,md      ,qd      ,sd      , &
2708                   qhat    ,shat    ,dp      ,qstp    ,zf      , &
2709                   ql      ,dsubcld ,mb      ,cape    ,tl      , &
2710                   lcl     ,lel     ,jt      ,mx      ,il1g    , &
2711                   il2g    ,rd      ,grav    ,cp      ,rl      , &
2712                   msg     ,capelmt )
2713!-----------------------------------------------------------------------
2714!
2715! Purpose:
2716! <Say what the routine does>
2717!
2718! Method:
2719! <Describe the algorithm(s) used in the routine.>
2720! <Also include any applicable external references.>
2721!
2722! Author: G. Zhang and collaborators. CCM contact:P. Rasch
2723! This is contributed code not fully standardized by the CCM core group.
2724!
2725! this code is very much rougher than virtually anything else in the CCM
2726! We expect to release cleaner code in a future release
2727!
2728! the documentation has been enhanced to the degree that we are able
2729!
2730!-----------------------------------------------------------------------
2731#ifndef WRF_PORT
2732   use dycore,    only: dycore_is, get_resolution
2733#endif
2734
2735   implicit none
2736
2737!
2738!-----------------------------Arguments---------------------------------
2739!
2740   integer, intent(in) :: lchnk                 ! chunk identifier
2741
2742   real(r8), intent(inout) :: q(pcols,pver)        ! spec humidity
2743   real(r8), intent(inout) :: t(pcols,pver)        ! temperature
2744   real(r8), intent(inout) :: p(pcols,pver)        ! pressure (mb)
2745   real(r8), intent(inout) :: mb(pcols)            ! cloud base mass flux
2746   real(r8), intent(in) :: z(pcols,pver)        ! height (m)
2747   real(r8), intent(in) :: s(pcols,pver)        ! normalized dry static energy
2748   real(r8), intent(in) :: tp(pcols,pver)       ! parcel temp
2749   real(r8), intent(in) :: qs(pcols,pver)       ! sat spec humidity
2750   real(r8), intent(in) :: qu(pcols,pver)       ! updraft spec. humidity
2751   real(r8), intent(in) :: su(pcols,pver)       ! normalized dry stat energy of updraft
2752   real(r8), intent(in) :: mc(pcols,pver)       ! net convective mass flux
2753   real(r8), intent(in) :: du(pcols,pver)       ! detrainment from updraft
2754   real(r8), intent(in) :: mu(pcols,pver)       ! mass flux of updraft
2755   real(r8), intent(in) :: md(pcols,pver)       ! mass flux of downdraft
2756   real(r8), intent(in) :: qd(pcols,pver)       ! spec. humidity of downdraft
2757   real(r8), intent(in) :: sd(pcols,pver)       ! dry static energy of downdraft
2758   real(r8), intent(in) :: qhat(pcols,pver)     ! environment spec humidity at interfaces
2759   real(r8), intent(in) :: shat(pcols,pver)     ! env. normalized dry static energy at intrfcs
2760   real(r8), intent(in) :: dp(pcols,pver)       ! pressure thickness of layers
2761   real(r8), intent(in) :: qstp(pcols,pver)     ! spec humidity of parcel
2762   real(r8), intent(in) :: zf(pcols,pver+1)     ! height of interface levels
2763   real(r8), intent(in) :: ql(pcols,pver)       ! liquid water mixing ratio
2764
2765   real(r8), intent(in) :: cape(pcols)          ! available pot. energy of column
2766   real(r8), intent(in) :: tl(pcols)
2767   real(r8), intent(in) :: dsubcld(pcols)       ! thickness of subcloud layer
2768
2769   integer, intent(in) :: lcl(pcols)        ! index of lcl
2770   integer, intent(in) :: lel(pcols)        ! index of launch leve
2771   integer, intent(in) :: jt(pcols)         ! top of updraft
2772   integer, intent(in) :: mx(pcols)         ! base of updraft
2773!
2774!--------------------------Local variables------------------------------
2775!
2776   real(r8) dtpdt(pcols,pver)
2777   real(r8) dqsdtp(pcols,pver)
2778   real(r8) dtmdt(pcols,pver)
2779   real(r8) dqmdt(pcols,pver)
2780   real(r8) dboydt(pcols,pver)
2781   real(r8) thetavp(pcols,pver)
2782   real(r8) thetavm(pcols,pver)
2783
2784   real(r8) dtbdt(pcols),dqbdt(pcols),dtldt(pcols)
2785   real(r8) beta
2786   real(r8) capelmt
2787   real(r8) cp
2788   real(r8) dadt(pcols)
2789   real(r8) debdt
2790   real(r8) dltaa
2791   real(r8) eb
2792   real(r8) grav
2793
2794   integer i
2795   integer il1g
2796   integer il2g
2797   integer k, kmin, kmax
2798   integer msg
2799
2800   real(r8) rd
2801   real(r8) rl
2802! change of subcloud layer properties due to convection is
2803! related to cumulus updrafts and downdrafts.
2804! mc(z)=f(z)*mb, mub=betau*mb, mdb=betad*mb are used
2805! to define betau, betad and f(z).
2806! note that this implies all time derivatives are in effect
2807! time derivatives per unit cloud-base mass flux, i.e. they
2808! have units of 1/mb instead of 1/sec.
2809!
2810   do i = il1g,il2g
2811      mb(i) = 0._r8
2812      eb = p(i,mx(i))*q(i,mx(i))/ (eps1+q(i,mx(i)))
2813      dtbdt(i) = (1._r8/dsubcld(i))* (mu(i,mx(i))*(shat(i,mx(i))-su(i,mx(i)))+ &
2814                  md(i,mx(i))* (shat(i,mx(i))-sd(i,mx(i))))
2815      dqbdt(i) = (1._r8/dsubcld(i))* (mu(i,mx(i))*(qhat(i,mx(i))-qu(i,mx(i)))+ &
2816                 md(i,mx(i))* (qhat(i,mx(i))-qd(i,mx(i))))
2817      debdt = eps1*p(i,mx(i))/ (eps1+q(i,mx(i)))**2*dqbdt(i)
2818      dtldt(i) = -2840._r8* (3.5_r8/t(i,mx(i))*dtbdt(i)-debdt/eb)/ &
2819                 (3.5_r8*log(t(i,mx(i)))-log(eb)-4.805_r8)**2
2820   end do
2821!
2822!   dtmdt and dqmdt are cumulus heating and drying.
2823!
2824   do k = msg + 1,pver
2825      do i = il1g,il2g
2826         dtmdt(i,k) = 0._r8
2827         dqmdt(i,k) = 0._r8
2828      end do
2829   end do
2830!
2831   do k = msg + 1,pver - 1
2832      do i = il1g,il2g
2833         if (k == jt(i)) then
2834            dtmdt(i,k) = (1._r8/dp(i,k))*(mu(i,k+1)* (su(i,k+1)-shat(i,k+1)- &
2835                          rl/cp*ql(i,k+1))+md(i,k+1)* (sd(i,k+1)-shat(i,k+1)))
2836            dqmdt(i,k) = (1._r8/dp(i,k))*(mu(i,k+1)* (qu(i,k+1)- &
2837                         qhat(i,k+1)+ql(i,k+1))+md(i,k+1)*(qd(i,k+1)-qhat(i,k+1)))
2838         end if
2839      end do
2840   end do
2841!
2842   beta = 0._r8
2843   do k = msg + 1,pver - 1
2844      do i = il1g,il2g
2845         if (k > jt(i) .and. k < mx(i)) then
2846            dtmdt(i,k) = (mc(i,k)* (shat(i,k)-s(i,k))+mc(i,k+1)* (s(i,k)-shat(i,k+1)))/ &
2847                         dp(i,k) - rl/cp*du(i,k)*(beta*ql(i,k)+ (1-beta)*ql(i,k+1))
2848!          dqmdt(i,k)=(mc(i,k)*(qhat(i,k)-q(i,k))
2849!     1                +mc(i,k+1)*(q(i,k)-qhat(i,k+1)))/dp(i,k)
2850!     2                +du(i,k)*(qs(i,k)-q(i,k))
2851!     3                +du(i,k)*(beta*ql(i,k)+(1-beta)*ql(i,k+1))
2852
2853            dqmdt(i,k) = (mu(i,k+1)* (qu(i,k+1)-qhat(i,k+1)+cp/rl* (su(i,k+1)-s(i,k)))- &
2854                          mu(i,k)* (qu(i,k)-qhat(i,k)+cp/rl*(su(i,k)-s(i,k)))+md(i,k+1)* &
2855                         (qd(i,k+1)-qhat(i,k+1)+cp/rl*(sd(i,k+1)-s(i,k)))-md(i,k)* &
2856                         (qd(i,k)-qhat(i,k)+cp/rl*(sd(i,k)-s(i,k))))/dp(i,k) + &
2857                          du(i,k)* (beta*ql(i,k)+(1-beta)*ql(i,k+1))
2858         end if
2859      end do
2860   end do
2861!
2862   do k = msg + 1,pver
2863      do i = il1g,il2g
2864         if (k >= lel(i) .and. k <= lcl(i)) then
2865            thetavp(i,k) = tp(i,k)* (1000._r8/p(i,k))** (rd/cp)*(1._r8+1.608_r8*qstp(i,k)-q(i,mx(i)))
2866            thetavm(i,k) = t(i,k)* (1000._r8/p(i,k))** (rd/cp)*(1._r8+0.608_r8*q(i,k))
2867            dqsdtp(i,k) = qstp(i,k)* (1._r8+qstp(i,k)/eps1)*eps1*rl/(rd*tp(i,k)**2)
2868!
2869! dtpdt is the parcel temperature change due to change of
2870! subcloud layer properties during convection.
2871!
2872            dtpdt(i,k) = tp(i,k)/ (1._r8+rl/cp* (dqsdtp(i,k)-qstp(i,k)/tp(i,k)))* &
2873                        (dtbdt(i)/t(i,mx(i))+rl/cp* (dqbdt(i)/tl(i)-q(i,mx(i))/ &
2874                         tl(i)**2*dtldt(i)))
2875!
2876! dboydt is the integrand of cape change.
2877!
2878            dboydt(i,k) = ((dtpdt(i,k)/tp(i,k)+1._r8/(1._r8+1.608_r8*qstp(i,k)-q(i,mx(i)))* &
2879                          (1.608_r8 * dqsdtp(i,k) * dtpdt(i,k) -dqbdt(i))) - (dtmdt(i,k)/t(i,k)+0.608_r8/ &
2880                          (1._r8+0.608_r8*q(i,k))*dqmdt(i,k)))*grav*thetavp(i,k)/thetavm(i,k)
2881         end if
2882      end do
2883   end do
2884!
2885   do k = msg + 1,pver
2886      do i = il1g,il2g
2887         if (k > lcl(i) .and. k < mx(i)) then
2888            thetavp(i,k) = tp(i,k)* (1000._r8/p(i,k))** (rd/cp)*(1._r8+0.608_r8*q(i,mx(i)))
2889            thetavm(i,k) = t(i,k)* (1000._r8/p(i,k))** (rd/cp)*(1._r8+0.608_r8*q(i,k))
2890!
2891! dboydt is the integrand of cape change.
2892!
2893            dboydt(i,k) = (dtbdt(i)/t(i,mx(i))+0.608_r8/ (1._r8+0.608_r8*q(i,mx(i)))*dqbdt(i)- &
2894                          dtmdt(i,k)/t(i,k)-0.608_r8/ (1._r8+0.608_r8*q(i,k))*dqmdt(i,k))* &
2895                          grav*thetavp(i,k)/thetavm(i,k)
2896         end if
2897      end do
2898   end do
2899
2900!
2901! buoyant energy change is set to 2/3*excess cape per 3 hours
2902!
2903   dadt(il1g:il2g)  = 0._r8
2904   kmin = minval(lel(il1g:il2g))
2905   kmax = maxval(mx(il1g:il2g)) - 1
2906   do k = kmin, kmax
2907      do i = il1g,il2g
2908         if ( k >= lel(i) .and. k <= mx(i) - 1) then
2909            dadt(i) = dadt(i) + dboydt(i,k)* (zf(i,k)-zf(i,k+1))
2910         endif
2911      end do
2912   end do
2913   do i = il1g,il2g
2914      dltaa = -1._r8* (cape(i)-capelmt)
2915      if (dadt(i) /= 0._r8) mb(i) = max(dltaa/tau/dadt(i),0._r8)
2916   end do
2917!
2918   return
2919end subroutine closure
2920
2921subroutine q1q2_pjr(lchnk   , &
2922                    dqdt    ,dsdt    ,q       ,qs      ,qu      , &
2923                    su      ,du      ,qhat    ,shat    ,dp      , &
2924                    mu      ,md      ,sd      ,qd      ,ql      , &
2925                    dsubcld ,jt      ,mx      ,il1g    ,il2g    , &
2926                    cp      ,rl      ,msg     ,          &
2927                    dl      ,evp     ,cu      )
2928
2929
2930   implicit none
2931
2932!-----------------------------------------------------------------------
2933!
2934! Purpose:
2935! <Say what the routine does>
2936!
2937! Method:
2938! <Describe the algorithm(s) used in the routine.>
2939! <Also include any applicable external references.>
2940!
2941! Author: phil rasch dec 19 1995
2942!
2943!-----------------------------------------------------------------------
2944
2945
2946   real(r8), intent(in) :: cp
2947
2948   integer, intent(in) :: lchnk             ! chunk identifier
2949   integer, intent(in) :: il1g
2950   integer, intent(in) :: il2g
2951   integer, intent(in) :: msg
2952
2953   real(r8), intent(in) :: q(pcols,pver)
2954   real(r8), intent(in) :: qs(pcols,pver)
2955   real(r8), intent(in) :: qu(pcols,pver)
2956   real(r8), intent(in) :: su(pcols,pver)
2957   real(r8), intent(in) :: du(pcols,pver)
2958   real(r8), intent(in) :: qhat(pcols,pver)
2959   real(r8), intent(in) :: shat(pcols,pver)
2960   real(r8), intent(in) :: dp(pcols,pver)
2961   real(r8), intent(in) :: mu(pcols,pver)
2962   real(r8), intent(in) :: md(pcols,pver)
2963   real(r8), intent(in) :: sd(pcols,pver)
2964   real(r8), intent(in) :: qd(pcols,pver)
2965   real(r8), intent(in) :: ql(pcols,pver)
2966   real(r8), intent(in) :: evp(pcols,pver)
2967   real(r8), intent(in) :: cu(pcols,pver)
2968   real(r8), intent(in) :: dsubcld(pcols)
2969
2970   real(r8),intent(out) :: dqdt(pcols,pver),dsdt(pcols,pver)
2971   real(r8),intent(out) :: dl(pcols,pver)
2972   integer kbm
2973   integer ktm
2974   integer jt(pcols)
2975   integer mx(pcols)
2976!
2977! work fields:
2978!
2979   integer i
2980   integer k
2981
2982   real(r8) emc
2983   real(r8) rl
2984!-------------------------------------------------------------------
2985   do k = msg + 1,pver
2986      do i = il1g,il2g
2987         dsdt(i,k) = 0._r8
2988         dqdt(i,k) = 0._r8
2989         dl(i,k) = 0._r8
2990      end do
2991   end do
2992!
2993! find the highest level top and bottom levels of convection
2994!
2995   ktm = pver
2996   kbm = pver
2997   do i = il1g, il2g
2998      ktm = min(ktm,jt(i))
2999      kbm = min(kbm,mx(i))
3000   end do
3001
3002   do k = ktm,pver-1
3003      do i = il1g,il2g
3004         emc = -cu (i,k)               &         ! condensation in updraft
3005               +evp(i,k)                         ! evaporating rain in downdraft
3006
3007         dsdt(i,k) = -rl/cp*emc &
3008                     + (+mu(i,k+1)* (su(i,k+1)-shat(i,k+1)) &
3009                        -mu(i,k)*   (su(i,k)-shat(i,k)) &
3010                        +md(i,k+1)* (sd(i,k+1)-shat(i,k+1)) &
3011                        -md(i,k)*   (sd(i,k)-shat(i,k)) &
3012                       )/dp(i,k)
3013
3014         dqdt(i,k) = emc + &
3015                    (+mu(i,k+1)* (qu(i,k+1)-qhat(i,k+1)) &
3016                     -mu(i,k)*   (qu(i,k)-qhat(i,k)) &
3017                     +md(i,k+1)* (qd(i,k+1)-qhat(i,k+1)) &
3018                     -md(i,k)*   (qd(i,k)-qhat(i,k)) &
3019                    )/dp(i,k)
3020
3021         dl(i,k) = du(i,k)*ql(i,k+1)
3022
3023      end do
3024   end do
3025
3026!
3027!DIR$ NOINTERCHANGE!
3028   do k = kbm,pver
3029      do i = il1g,il2g
3030         if (k == mx(i)) then
3031            dsdt(i,k) = (1._r8/dsubcld(i))* &
3032                        (-mu(i,k)* (su(i,k)-shat(i,k)) &
3033                         -md(i,k)* (sd(i,k)-shat(i,k)) &
3034                        )
3035            dqdt(i,k) = (1._r8/dsubcld(i))* &
3036                        (-mu(i,k)*(qu(i,k)-qhat(i,k)) &
3037                         -md(i,k)*(qd(i,k)-qhat(i,k)) &
3038                        )
3039         else if (k > mx(i)) then
3040            dsdt(i,k) = dsdt(i,k-1)
3041            dqdt(i,k) = dqdt(i,k-1)
3042         end if
3043      end do
3044   end do
3045!
3046   return
3047end subroutine q1q2_pjr
3048
3049subroutine buoyan_dilute(lchnk   ,ncol    , &
3050                  q       ,t       ,p       ,z       ,pf      , &
3051                  tp      ,qstp    ,tl      ,rl      ,cape    , &
3052                  pblt    ,lcl     ,lel     ,lon     ,mx      , &
3053                  rd      ,grav    ,cp      ,msg     , &
3054                  tpert   )
3055!-----------------------------------------------------------------------
3056!
3057! Purpose:
3058! Calculates CAPE the lifting condensation level and the convective top
3059! where buoyancy is first -ve.
3060!
3061! Method: Calculates the parcel temperature based on a simple constant
3062! entraining plume model. CAPE is integrated from buoyancy.
3063! 09/09/04 - Simplest approach using an assumed entrainment rate for
3064!            testing (dmpdp).
3065! 08/04/05 - Swap to convert dmpdz to dmpdp 
3066!
3067! SCAM Logical Switches - DILUTE:RBN - Now Disabled
3068! ---------------------
3069! switch(1) = .T. - Uses the dilute parcel calculation to obtain tendencies.
3070! switch(2) = .T. - Includes entropy/q changes due to condensate loss and freezing.
3071! switch(3) = .T. - Adds the PBL Tpert for the parcel temperature at all levels.
3072!
3073! References:
3074! Raymond and Blythe (1992) JAS
3075!
3076! Author:
3077! Richard Neale - September 2004
3078!
3079!-----------------------------------------------------------------------
3080   implicit none
3081!-----------------------------------------------------------------------
3082!
3083! input arguments
3084!
3085   integer, intent(in) :: lchnk                 ! chunk identifier
3086   integer, intent(in) :: ncol                  ! number of atmospheric columns
3087
3088   real(r8), intent(in) :: q(pcols,pver)        ! spec. humidity
3089   real(r8), intent(in) :: t(pcols,pver)        ! temperature
3090   real(r8), intent(in) :: p(pcols,pver)        ! pressure
3091   real(r8), intent(in) :: z(pcols,pver)        ! height
3092   real(r8), intent(in) :: pf(pcols,pver+1)     ! pressure at interfaces
3093   real(r8), intent(in) :: pblt(pcols)          ! index of pbl depth
3094   real(r8), intent(in) :: tpert(pcols)         ! perturbation temperature by pbl processes
3095
3096!
3097! output arguments
3098!
3099   real(r8), intent(out) :: tp(pcols,pver)       ! parcel temperature
3100   real(r8), intent(out) :: qstp(pcols,pver)     ! saturation mixing ratio of parcel (only above lcl, just q below).
3101   real(r8), intent(out) :: tl(pcols)            ! parcel temperature at lcl
3102   real(r8), intent(out) :: cape(pcols)          ! convective aval. pot. energy.
3103   integer lcl(pcols)        !
3104   integer lel(pcols)        !
3105   integer lon(pcols)        ! level of onset of deep convection
3106   integer mx(pcols)         ! level of max moist static energy
3107!
3108!--------------------------Local Variables------------------------------
3109!
3110   real(r8) capeten(pcols,5)     ! provisional value of cape
3111   real(r8) tv(pcols,pver)       !
3112   real(r8) tpv(pcols,pver)      !
3113   real(r8) buoy(pcols,pver)
3114
3115   real(r8) a1(pcols)
3116   real(r8) a2(pcols)
3117   real(r8) estp(pcols)
3118   real(r8) pl(pcols)
3119   real(r8) plexp(pcols)
3120   real(r8) hmax(pcols)
3121   real(r8) hmn(pcols)
3122   real(r8) y(pcols)
3123
3124   logical plge600(pcols)
3125   integer knt(pcols)
3126   integer lelten(pcols,5)
3127
3128   real(r8) cp
3129   real(r8) e
3130   real(r8) grav
3131
3132   integer i
3133   integer k
3134   integer msg
3135   integer n
3136
3137   real(r8) rd
3138   real(r8) rl
3139#ifdef PERGRO
3140   real(r8) rhd
3141#endif
3142!
3143!-----------------------------------------------------------------------
3144!
3145   do n = 1,5
3146      do i = 1,ncol
3147         lelten(i,n) = pver
3148         capeten(i,n) = 0._r8
3149      end do
3150   end do
3151!
3152   do i = 1,ncol
3153      lon(i) = pver
3154      knt(i) = 0
3155      lel(i) = pver
3156      mx(i) = lon(i)
3157      cape(i) = 0._r8
3158      hmax(i) = 0._r8
3159   end do
3160
3161   tp(:ncol,:) = t(:ncol,:)
3162   qstp(:ncol,:) = q(:ncol,:)
3163
3164!!! RBN - Initialize tv and buoy for output.
3165!!! tv=tv : tpv=tpv : qstp=q : buoy=0.
3166   tv(:ncol,:) = t(:ncol,:) *(1._r8+1.608_r8*q(:ncol,:))/ (1._r8+q(:ncol,:))
3167   tpv(:ncol,:) = tv(:ncol,:)
3168   buoy(:ncol,:) = 0._r8
3169
3170!
3171! set "launching" level(mx) to be at maximum moist static energy.
3172! search for this level stops at planetary boundary layer top.
3173!
3174#ifdef PERGRO
3175   do k = pver,msg + 1,-1
3176      do i = 1,ncol
3177         hmn(i) = cp*t(i,k) + grav*z(i,k) + rl*q(i,k)
3178!
3179! Reset max moist static energy level when relative difference exceeds 1.e-4
3180!
3181         rhd = (hmn(i) - hmax(i))/(hmn(i) + hmax(i))
3182         if (k >= nint(pblt(i)) .and. k <= lon(i) .and. rhd > -1.e-4_r8) then
3183            hmax(i) = hmn(i)
3184            mx(i) = k
3185         end if
3186      end do
3187   end do
3188#else
3189   do k = pver,msg + 1,-1
3190      do i = 1,ncol
3191         hmn(i) = cp*t(i,k) + grav*z(i,k) + rl*q(i,k)
3192         if (k >= nint(pblt(i)) .and. k <= lon(i) .and. hmn(i) > hmax(i)) then
3193            hmax(i) = hmn(i)
3194            mx(i) = k
3195         end if
3196      end do
3197   end do
3198#endif
3199
3200! LCL dilute calculation - initialize to mx(i)
3201! Determine lcl in parcel_dilute and get pl,tl after parcel_dilute
3202! Original code actually sets LCL as level above wher condensate forms.
3203! Therefore in parcel_dilute lcl(i) will be at first level where qsmix < qtmix.
3204
3205   do i = 1,ncol ! Initialise LCL variables.
3206      lcl(i) = mx(i)
3207      tl(i) = t(i,mx(i))
3208      pl(i) = p(i,mx(i))
3209   end do
3210
3211!
3212! main buoyancy calculation.
3213!
3214!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
3215!!! DILUTE PLUME CALCULATION USING ENTRAINING PLUME !!!
3216!!!   RBN 9/9/04   !!!
3217
3218   call parcel_dilute(lchnk, ncol, msg, mx, p, t, q, tpert, tp, tpv, qstp, pl, tl, lcl)
3219
3220
3221! If lcl is above the nominal level of non-divergence (600 mbs),
3222! no deep convection is permitted (ensuing calculations
3223! skipped and cape retains initialized value of zero).
3224!
3225   do i = 1,ncol
3226      plge600(i) = pl(i).ge.600._r8 ! Just change to always allow buoy calculation.
3227   end do
3228
3229!
3230! Main buoyancy calculation.
3231!
3232   do k = pver,msg + 1,-1
3233      do i=1,ncol
3234         if (k <= mx(i) .and. plge600(i)) then   ! Define buoy from launch level to cloud top.
3235            tv(i,k) = t(i,k)* (1._r8+1.608_r8*q(i,k))/ (1._r8+q(i,k))
3236            buoy(i,k) = tpv(i,k) - tv(i,k) + tiedke_add  ! +0.5K or not?
3237         else
3238            qstp(i,k) = q(i,k)
3239            tp(i,k)   = t(i,k)           
3240            tpv(i,k)  = tv(i,k)
3241         endif
3242      end do
3243   end do
3244
3245
3246
3247!-------------------------------------------------------------------------------
3248
3249!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
3250
3251
3252
3253!
3254   do k = msg + 2,pver
3255      do i = 1,ncol
3256         if (k < lcl(i) .and. plge600(i)) then
3257            if (buoy(i,k+1) > 0. .and. buoy(i,k) <= 0._r8) then
3258               knt(i) = min(5,knt(i) + 1)
3259               lelten(i,knt(i)) = k
3260            end if
3261         end if
3262      end do
3263   end do
3264!
3265! calculate convective available potential energy (cape).
3266!
3267   do n = 1,5
3268      do k = msg + 1,pver
3269         do i = 1,ncol
3270            if (plge600(i) .and. k <= mx(i) .and. k > lelten(i,n)) then
3271               capeten(i,n) = capeten(i,n) + rd*buoy(i,k)*log(pf(i,k+1)/pf(i,k))
3272            end if
3273         end do
3274      end do
3275   end do
3276!
3277! find maximum cape from all possible tentative capes from
3278! one sounding,
3279! and use it as the final cape, april 26, 1995
3280!
3281   do n = 1,5
3282      do i = 1,ncol
3283         if (capeten(i,n) > cape(i)) then
3284            cape(i) = capeten(i,n)
3285            lel(i) = lelten(i,n)
3286         end if
3287      end do
3288   end do
3289!
3290! put lower bound on cape for diagnostic purposes.
3291!
3292   do i = 1,ncol
3293      cape(i) = max(cape(i), 0._r8)
3294   end do
3295!
3296   return
3297end subroutine buoyan_dilute
3298
3299subroutine parcel_dilute (lchnk, ncol, msg, klaunch, p, t, q, tpert, tp, tpv, qstp, pl, tl, lcl)
3300
3301! Routine  to determine
3302!   1. Tp   - Parcel temperature
3303!   2. qstp - Saturated mixing ratio at the parcel temperature.
3304
3305!--------------------
3306implicit none
3307!--------------------
3308
3309integer, intent(in) :: lchnk
3310integer, intent(in) :: ncol
3311integer, intent(in) :: msg
3312
3313integer, intent(in), dimension(pcols) :: klaunch(pcols)
3314
3315real(r8), intent(in), dimension(pcols,pver) :: p
3316real(r8), intent(in), dimension(pcols,pver) :: t
3317real(r8), intent(in), dimension(pcols,pver) :: q
3318real(r8), intent(in), dimension(pcols) :: tpert ! PBL temperature perturbation.
3319
3320real(r8), intent(inout), dimension(pcols,pver) :: tp    ! Parcel temp.
3321real(r8), intent(inout), dimension(pcols,pver) :: qstp  ! Parcel water vapour (sat value above lcl).
3322real(r8), intent(inout), dimension(pcols) :: tl         ! Actual temp of LCL.
3323real(r8), intent(inout), dimension(pcols) :: pl          ! Actual pressure of LCL.
3324
3325integer, intent(inout), dimension(pcols) :: lcl ! Lifting condesation level (first model level with saturation).
3326
3327real(r8), intent(out), dimension(pcols,pver) :: tpv   ! Define tpv within this routine.
3328
3329!--------------------
3330
3331! Have to be careful as s is also dry static energy.
3332
3333
3334! If we are to retain the fact that CAM loops over grid-points in the internal
3335! loop then we need to dimension sp,atp,mp,xsh2o with ncol.
3336
3337
3338real(r8) tmix(pcols,pver)        ! Tempertaure of the entraining parcel.
3339real(r8) qtmix(pcols,pver)       ! Total water of the entraining parcel.
3340real(r8) qsmix(pcols,pver)       ! Saturated mixing ratio at the tmix.
3341real(r8) smix(pcols,pver)        ! Entropy of the entraining parcel.
3342real(r8) xsh2o(pcols,pver)       ! Precipitate lost from parcel.
3343real(r8) ds_xsh2o(pcols,pver)    ! Entropy change due to loss of condensate.
3344real(r8) ds_freeze(pcols,pver)   ! Entropy change sue to freezing of precip.
3345
3346real(r8) mp(pcols)    ! Parcel mass flux.
3347real(r8) qtp(pcols)   ! Parcel total water.
3348real(r8) sp(pcols)    ! Parcel entropy.
3349
3350real(r8) sp0(pcols)    ! Parcel launch entropy.
3351real(r8) qtp0(pcols)   ! Parcel launch total water.
3352real(r8) mp0(pcols)    ! Parcel launch relative mass flux.
3353
3354real(r8) lwmax      ! Maximum condesate that can be held in cloud before rainout.
3355real(r8) dmpdp      ! Parcel fractional mass entrainment rate (/mb).
3356!real(r8) dmpdpc     ! In cloud parcel mass entrainment rate (/mb).
3357real(r8) dmpdz      ! Parcel fractional mass entrainment rate (/m)
3358real(r8) dpdz,dzdp  ! Hydrstatic relation and inverse of.
3359real(r8) senv       ! Environmental entropy at each grid point.
3360real(r8) qtenv      ! Environmental total water "   "   ".
3361real(r8) penv       ! Environmental total pressure "   "   ".
3362real(r8) tenv       ! Environmental total temperature "   "   ".
3363real(r8) new_s      ! Hold value for entropy after condensation/freezing adjustments.
3364real(r8) new_q      ! Hold value for total water after condensation/freezing adjustments.
3365real(r8) dp         ! Layer thickness (center to center)
3366real(r8) tfguess    ! First guess for entropy inversion - crucial for efficiency!
3367real(r8) tscool     ! Super cooled temperature offset (in degC) (eg -35).
3368
3369real(r8) qxsk, qxskp1        ! LCL excess water (k, k+1)
3370real(r8) dsdp, dqtdp, dqxsdp ! LCL s, qt, p gradients (k, k+1)
3371real(r8) slcl,qtlcl,qslcl    ! LCL s, qt, qs values.
3372
3373integer rcall       ! Number of ientropy call for errors recording
3374integer nit_lheat     ! Number of iterations for condensation/freezing loop.
3375integer i,k,ii   ! Loop counters.
3376
3377!======================================================================
3378!    SUMMARY
3379!
3380!  9/9/04 - Assumes parcel is initiated from level of maxh (klaunch)
3381!           and entrains at each level with a specified entrainment rate.
3382!
3383! 15/9/04 - Calculates lcl(i) based on k where qsmix is first < qtmix.         
3384!
3385!======================================================================
3386!
3387! Set some values that may be changed frequently.
3388!
3389
3390nit_lheat = 2 ! iterations for ds,dq changes from condensation freezing.
3391dmpdz=-1.e-3_r8        ! Entrainment rate. (-ve for /m)
3392!dmpdpc = 3.e-2_r8   ! In cloud entrainment rate (/mb).
3393lwmax = 1.e-3_r8    ! Need to put formula in for this.
3394tscool = 0.0_r8   ! Temp at which water loading freezes in the cloud.
3395
3396qtmix=0._r8
3397smix=0._r8
3398
3399qtenv = 0._r8
3400senv = 0._r8
3401tenv = 0._r8
3402penv = 0._r8
3403
3404qtp0 = 0._r8
3405sp0  = 0._r8
3406mp0 = 0._r8
3407
3408qtp = 0._r8
3409sp = 0._r8
3410mp = 0._r8
3411
3412new_q = 0._r8
3413new_s = 0._r8
3414
3415! **** Begin loops ****
3416
3417do k = pver, msg+1, -1
3418   do i=1,ncol
3419
3420! Initialize parcel values at launch level.
3421
3422      if (k == klaunch(i)) then
3423         qtp0(i) = q(i,k)   ! Parcel launch total water (assuming subsaturated) - OK????.
3424         sp0(i)  = entropy(t(i,k),p(i,k),qtp0(i))  ! Parcel launch entropy.
3425         mp0(i)  = 1._r8       ! Parcel launch relative mass (i.e. 1 parcel stays 1 parcel for dmpdp=0, undilute).
3426         smix(i,k)  = sp0(i)
3427         qtmix(i,k) = qtp0(i)
3428         tfguess = t(i,k)
3429         rcall = 1
3430         call ientropy (rcall,i,lchnk,smix(i,k),p(i,k),qtmix(i,k),tmix(i,k),qsmix(i,k),tfguess)
3431      end if
3432
3433! Entraining levels
3434     
3435      if (k < klaunch(i)) then
3436
3437! Set environmental values for this level.                 
3438         
3439         dp = (p(i,k)-p(i,k+1)) ! In -ve mb as p decreasing with height - difference between center of layers.
3440         qtenv = 0.5_r8*(q(i,k)+q(i,k+1))         ! Total water of environment.
3441         tenv  = 0.5_r8*(t(i,k)+t(i,k+1))
3442         penv  = 0.5_r8*(p(i,k)+p(i,k+1))
3443
3444         senv  = entropy(tenv,penv,qtenv)  ! Entropy of environment.   
3445
3446! Determine fractional entrainment rate /pa given value /m.
3447
3448         dpdz = -(penv*grav)/(rgas*tenv) ! in mb/m since  p in mb.
3449         dzdp = 1._r8/dpdz                  ! in m/mb
3450         dmpdp = dmpdz*dzdp              ! /mb Fractional entrainment
3451
3452! Sum entrainment to current level
3453! entrains q,s out of intervening dp layers, in which linear variation is assumed
3454! so really it entrains the mean of the 2 stored values.
3455
3456         sp(i)  = sp(i)  - dmpdp*dp*senv
3457         qtp(i) = qtp(i) - dmpdp*dp*qtenv
3458         mp(i)  = mp(i)  - dmpdp*dp
3459           
3460! Entrain s and qt to next level.
3461
3462         smix(i,k)  = (sp0(i)  +  sp(i)) / (mp0(i) + mp(i))
3463         qtmix(i,k) = (qtp0(i) + qtp(i)) / (mp0(i) + mp(i))
3464
3465! Invert entropy from s and q to determine T and saturation-capped q of mixture.
3466! t(i,k) used as a first guess so that it converges faster.
3467
3468         tfguess = tmix(i,k+1)
3469         rcall = 2
3470         call ientropy(rcall,i,lchnk,smix(i,k),p(i,k),qtmix(i,k),tmix(i,k),qsmix(i,k),tfguess)   
3471
3472!
3473! Determine if this is lcl of this column if qsmix <= qtmix.
3474! FIRST LEVEL where this happens on ascending.
3475
3476         if (qsmix(i,k) <= qtmix(i,k) .and. qsmix(i,k+1) > qtmix(i,k+1)) then
3477            lcl(i) = k
3478            qxsk   = qtmix(i,k) - qsmix(i,k)
3479            qxskp1 = qtmix(i,k+1) - qsmix(i,k+1)
3480            dqxsdp = (qxsk - qxskp1)/dp
3481            pl(i)  = p(i,k+1) - qxskp1/dqxsdp    ! pressure level of actual lcl.
3482            dsdp   = (smix(i,k)  - smix(i,k+1))/dp
3483            dqtdp  = (qtmix(i,k) - qtmix(i,k+1))/dp
3484            slcl   = smix(i,k+1)  +  dsdp* (pl(i)-p(i,k+1)) 
3485            qtlcl  = qtmix(i,k+1) +  dqtdp*(pl(i)-p(i,k+1))
3486
3487            tfguess = tmix(i,k)
3488            rcall = 3
3489            call ientropy (rcall,i,lchnk,slcl,pl(i),qtlcl,tl(i),qslcl,tfguess)
3490
3491!            write(iulog,*)' '
3492!            write(iulog,*)' p',p(i,k+1),pl(i),p(i,lcl(i))
3493!            write(iulog,*)' t',tmix(i,k+1),tl(i),tmix(i,lcl(i))
3494!            write(iulog,*)' s',smix(i,k+1),slcl,smix(i,lcl(i))
3495!            write(iulog,*)'qt',qtmix(i,k+1),qtlcl,qtmix(i,lcl(i))
3496!            write(iulog,*)'qs',qsmix(i,k+1),qslcl,qsmix(i,lcl(i))
3497
3498         endif
3499!         
3500      end if !  k < klaunch
3501
3502 
3503   end do ! Levels loop
3504end do ! Columns loop
3505
3506!!!!!!!!!!!!!!!!!!!!!!!!!!END ENTRAINMENT LOOP!!!!!!!!!!!!!!!!!!!!!!!!!!!!
3507
3508!! Could stop now and test with this as it will provide some estimate of buoyancy
3509!! without the effects of freezing/condensation taken into account for tmix.
3510
3511!! So we now have a profile of entropy and total water of the entraining parcel
3512!! Varying with height from the launch level klaunch parcel=environment. To the
3513!! top allowed level for the existence of convection.
3514
3515!! Now we have to adjust these values such that the water held in vaopor is < or
3516!! = to qsmix. Therefore, we assume that the cloud holds a certain amount of
3517!! condensate (lwmax) and the rest is rained out (xsh2o). This, obviously
3518!! provides latent heating to the mixed parcel and so this has to be added back
3519!! to it. But does this also increase qsmix as well? Also freezing processes
3520 
3521
3522xsh2o = 0._r8
3523ds_xsh2o = 0._r8
3524ds_freeze = 0._r8
3525
3526!!!!!!!!!!!!!!!!!!!!!!!!!PRECIPITATION/FREEZING LOOP!!!!!!!!!!!!!!!!!!!!!!!!!!
3527!! Iterate solution twice for accuracy
3528
3529
3530
3531do k = pver, msg+1, -1
3532   do i=1,ncol   
3533     
3534! Initialize variables at k=klaunch
3535     
3536      if (k == klaunch(i)) then
3537
3538! Set parcel values at launch level assume no liquid water.           
3539
3540         tp(i,k)    = tmix(i,k)
3541         qstp(i,k)  = q(i,k)
3542         tpv(i,k)   =  (tp(i,k) + tpert(i)) * (1._r8+1.608_r8*qstp(i,k)) / (1._r8+qstp(i,k))
3543         
3544      end if
3545
3546      if (k < klaunch(i)) then
3547           
3548! Initiaite loop if switch(2) = .T. - RBN:DILUTE - TAKEN OUT BUT COULD BE RETURNED LATER.
3549
3550! Iterate nit_lheat times for s,qt changes.
3551
3552         do ii=0,nit_lheat-1           
3553
3554! Rain (xsh2o) is excess condensate, bar LWMAX (Accumulated loss from qtmix).
3555
3556            xsh2o(i,k) = max (0._r8, qtmix(i,k) - qsmix(i,k) - lwmax)
3557
3558! Contribution to ds from precip loss of condensate (Accumulated change from smix).(-ve)                     
3559                     
3560            ds_xsh2o(i,k) = ds_xsh2o(i,k+1) - cpliq * log (tmix(i,k)/tfreez) * max(0._r8,(xsh2o(i,k)-xsh2o(i,k+1)))
3561!
3562! Entropy of freezing: latice times amount of water involved divided by T.
3563!
3564 
3565            if (tmix(i,k) <= tfreez+tscool .and. ds_freeze(i,k+1) == 0._r8) then ! One off freezing of condensate.
3566               ds_freeze(i,k) = (latice/tmix(i,k)) * max(0._r8,qtmix(i,k)-qsmix(i,k)-xsh2o(i,k)) ! Gain of LH
3567            end if
3568           
3569            if (tmix(i,k) <= tfreez+tscool .and. ds_freeze(i,k+1) /= 0._r8) then ! Continual freezing of additional condensate.
3570               ds_freeze(i,k) = ds_freeze(i,k+1)+(latice/tmix(i,k)) * max(0._r8,(qsmix(i,k+1)-qsmix(i,k)))
3571            end if
3572           
3573! Adjust entropy and accordingly to sum of ds (be careful of signs).
3574
3575            new_s = smix(i,k) + ds_xsh2o(i,k) + ds_freeze(i,k)
3576
3577! Adjust liquid water and accordingly to xsh2o.
3578
3579            new_q = qtmix(i,k) - xsh2o(i,k)
3580
3581! Invert entropy to get updated Tmix and qsmix of parcel.
3582
3583            tfguess = tmix(i,k)
3584            rcall =4
3585            call ientropy (rcall,i,lchnk,new_s, p(i,k), new_q, tmix(i,k), qsmix(i,k), tfguess)
3586           
3587         end do  ! Iteration loop for freezing processes.
3588
3589! tp  - Parcel temp is temp of mixture.
3590! tpv - Parcel v. temp should be density temp with new_q total water.
3591
3592         tp(i,k)    = tmix(i,k)
3593
3594! tpv = tprho in the presence of condensate (i.e. when new_q > qsmix)
3595
3596         if (new_q > qsmix(i,k)) then  ! Super-saturated so condensate present - reduces buoyancy.
3597            qstp(i,k) = qsmix(i,k)
3598         else                          ! Just saturated/sub-saturated - no condensate virtual effects.
3599            qstp(i,k) = new_q
3600         end if
3601
3602         tpv(i,k) = (tp(i,k)+tpert(i))* (1._r8+1.608_r8*qstp(i,k)) / (1._r8+ new_q)
3603
3604      end if ! k < klaunch
3605     
3606   end do ! Loop for columns
3607   
3608end do  ! Loop for vertical levels.
3609
3610
3611return
3612end subroutine parcel_dilute
3613
3614!-----------------------------------------------------------------------------------------
3615real(r8) function entropy(TK,p,qtot)
3616!-----------------------------------------------------------------------------------------
3617!
3618! TK(K),p(mb),qtot(kg/kg)
3619! from Raymond and Blyth 1992
3620!
3621     real(r8), intent(in) :: p,qtot,TK
3622     real(r8) :: qv,qsat,e,esat,L,eref,pref
3623
3624pref = 1000.0_r8           ! mb
3625eref = 6.106_r8            ! sat p at tfreez (mb)
3626
3627L = rl - (cpliq - cpwv)*(TK-tfreez)         ! T IN CENTIGRADE
3628
3629! Replace call to satmixutils.
3630
3631esat = c1*exp(c2*(TK-tfreez)/(c3+TK-tfreez))       ! esat(T) in mb
3632qsat=eps1*esat/(p-esat)                      ! Sat. mixing ratio (in kg/kg).
3633
3634qv = min(qtot,qsat)                         ! Partition qtot into vapor part only.
3635e = qv*p / (eps1 +qv)
3636
3637entropy = (cpres + qtot*cpliq)*log( TK/tfreez) - rgas*log( (p-e)/pref ) + &
3638        L*qv/TK - qv*rh2o*log(qv/qsat)
3639!
3640return
3641end FUNCTION entropy
3642
3643!
3644!-----------------------------------------------------------------------------------------
3645   SUBROUTINE ientropy (rcall,icol,lchnk,s,p,qt,T,qsat,Tfg)
3646!-----------------------------------------------------------------------------------------
3647!
3648! p(mb), Tfg/T(K), qt/qv(kg/kg), s(J/kg).
3649! Inverts entropy, pressure and total water qt
3650! for T and saturated vapor mixing ratio
3651!
3652#ifndef WRF_PORT
3653     use phys_grid, only: get_rlon_p, get_rlat_p
3654#endif
3655
3656     integer, intent(in) :: icol, lchnk, rcall
3657     real(r8), intent(in)  :: s, p, Tfg, qt
3658     real(r8), intent(out) :: qsat, T
3659     real(r8) :: qv,Ts,dTs,fs1,fs2,esat     
3660     real(r8) :: pref,eref,L,e
3661     real(r8) :: this_lat,this_lon
3662     integer :: LOOPMAX,i
3663
3664LOOPMAX = 100                   !* max number of iteration loops
3665
3666! Values for entropy
3667pref = 1000.0_r8           ! mb ref pressure.
3668eref = 6.106_r8           ! sat p at tfreez (mb)
3669
3670! Invert the entropy equation -- use Newton's method
3671
3672Ts = Tfg                  ! Better first guess based on Tprofile from conv.
3673
3674converge: do i=0, LOOPMAX
3675
3676   L = rl - (cpliq - cpwv)*(Ts-tfreez)
3677
3678   esat = c1*exp(c2*(Ts-tfreez)/(c3+Ts-tfreez)) ! Bolton (eq. 10)
3679   qsat = eps1*esat/(p-esat)     
3680   qv = min(qt,qsat)
3681   e = qv*p / (eps1 +qv)  ! Bolton (eq. 16)
3682   fs1 = (cpres + qt*cpliq)*log( Ts/tfreez ) - rgas*log( (p-e)/pref ) + &
3683        L*qv/Ts - qv*rh2o*log(qv/qsat) - s
3684   
3685   L = rl - (cpliq - cpwv)*(Ts-1._r8-tfreez)         
3686
3687   esat = c1*exp(c2*(Ts-1._r8-tfreez)/(c3+Ts-1._r8-tfreez))
3688   qsat = eps1*esat/(p-esat) 
3689   qv = min(qt,qsat)
3690   e = qv*p / (eps1 +qv)
3691   fs2 = (cpres + qt*cpliq)*log( (Ts-1._r8)/tfreez ) - rgas*log( (p-e)/pref ) + &
3692        L*qv/(Ts-1._r8) - qv*rh2o*log(qv/qsat) - s
3693   
3694   dTs = fs1/(fs2 - fs1)
3695   Ts  = Ts+dTs
3696   if (abs(dTs).lt.0.001_r8) exit converge
3697   if (i .eq. LOOPMAX - 1) then
3698#ifndef WRF_PORT
3699      this_lat = get_rlat_p(lchnk, icol)*57.296_r8
3700      this_lon = get_rlon_p(lchnk, icol)*57.296_r8
3701#else
3702!Do not worry about the specific lat/lon in WRF
3703      this_lat = 0.
3704      this_lon = 0.
3705#endif
3706      write(iulog,*) '*** ZM_CONV: IENTROPY: Failed and about to exit, info follows ****'
3707#ifdef WRF_PORT
3708      call wrf_message(iulog)
3709#endif
3710      write(iulog,100) 'ZM_CONV: IENTROPY. Details: call#,lchnk,icol= ',rcall,lchnk,icol, &
3711       ' lat: ',this_lat,' lon: ',this_lon, &
3712       ' P(mb)= ', p, ' Tfg(K)= ', Tfg, ' qt(g/kg) = ', 1000._r8*qt, &
3713       ' qsat(g/kg) = ', 1000._r8*qsat,', s(J/kg) = ',s
3714#ifdef WRF_PORT
3715      call wrf_message(iulog)
3716#endif
3717      call endrun('**** ZM_CONV IENTROPY: Tmix did not converge ****')
3718   end if
3719enddo converge
3720
3721! Replace call to satmixutils.
3722
3723esat = c1*exp(c2*(Ts-tfreez)/(c3+Ts-tfreez))
3724qsat=eps1*esat/(p-esat)
3725
3726qv = min(qt,qsat)                             !       /* check for saturation */
3727T = Ts
3728
3729 100    format (A,I1,I4,I4,7(A,F6.2))
3730
3731return
3732end SUBROUTINE ientropy
3733
3734end module module_cu_camzm
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