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File: phys/conccm.f90
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1
2 ! $Header$
3
4 ✗ SUBROUTINE conccm(dtime, paprs, pplay, t, q, conv_q, d_t, d_q, rain, snow, &
5 ✗ kbascm, ktopcm)
6
7 USE dimphy
8 IMPLICIT NONE
9 ! ======================================================================
10 ! Auteur(s): Z.X. Li (LMD/CNRS) date: le 14 mars 1996
11 ! Objet: Schema simple (avec flux de masse) pour la convection
12 ! (schema standard du modele NCAR CCM2)
13 ! ======================================================================
14 include "YOMCST.h"
15 include "YOETHF.h"
16
17 ! Entree:
18 REAL dtime ! pas d'integration
19 REAL paprs(klon, klev+1) ! pression inter-couche (Pa)
20 REAL pplay(klon, klev) ! pression au milieu de couche (Pa)
21 REAL t(klon, klev) ! temperature (K)
22 REAL q(klon, klev) ! humidite specifique (g/g)
23 REAL conv_q(klon, klev) ! taux de convergence humidite (g/g/s)
24 ! Sortie:
25 REAL d_t(klon, klev) ! incrementation temperature
26 REAL d_q(klon, klev) ! incrementation vapeur
27 REAL rain(klon) ! pluie (mm/s)
28 REAL snow(klon) ! neige (mm/s)
29 INTEGER kbascm(klon) ! niveau du bas de convection
30 INTEGER ktopcm(klon) ! niveau du haut de convection
31
32 ✗ REAL pt(klon, klev)
33 ✗ REAL pq(klon, klev)
34 ✗ REAL pres(klon, klev)
35 ✗ REAL dp(klon, klev)
36 ✗ REAL zgeom(klon, klev)
37 ✗ REAL cmfprs(klon)
38 ✗ REAL cmfprt(klon)
39 ✗ INTEGER ntop(klon)
40 ✗ INTEGER nbas(klon)
41 INTEGER i, k
42 REAL zlvdcp, zlsdcp, zdelta, zz, za, zb
43
44 LOGICAL usekuo ! utiliser convection profonde (schema Kuo)
45 PARAMETER (usekuo=.TRUE.)
46
47 ✗ REAL d_t_bis(klon, klev)
48 ✗ REAL d_q_bis(klon, klev)
49 ✗ REAL rain_bis(klon)
50 ✗ REAL snow_bis(klon)
51 ✗ INTEGER ibas_bis(klon)
52 ✗ INTEGER itop_bis(klon)
53 ✗ REAL d_ql_bis(klon, klev)
54 ✗ REAL rneb_bis(klon, klev)
55
56 ! initialiser les variables de sortie (pour securite)
57 ✗ DO i = 1, klon
58 ✗ rain(i) = 0.0
59 ✗ snow(i) = 0.0
60 ✗ kbascm(i) = 0
61 ✗ ktopcm(i) = 0
62 END DO
63 ✗ DO k = 1, klev
64 ✗ DO i = 1, klon
65 ✗ d_t(i, k) = 0.0
66 ✗ d_q(i, k) = 0.0
67 END DO
68 END DO
69
70 ! preparer les variables d'entree (attention: l'ordre des niveaux
71 ! verticaux augmente du haut vers le bas)
72 ✗ DO k = 1, klev
73 ✗ DO i = 1, klon
74 ✗ pt(i, k) = t(i, klev-k+1)
75 ✗ pq(i, k) = q(i, klev-k+1)
76 ✗ pres(i, k) = pplay(i, klev-k+1)
77 ✗ dp(i, k) = paprs(i, klev+1-k) - paprs(i, klev+1-k+1)
78 END DO
79 END DO
80 ✗ DO i = 1, klon
81 zgeom(i, klev) = rd*t(i, 1)/(0.5*(paprs(i,1)+pplay(i, &
82 ✗ 1)))*(paprs(i,1)-pplay(i,1))
83 END DO
84 ✗ DO k = 2, klev
85 ✗ DO i = 1, klon
86 zgeom(i, klev+1-k) = zgeom(i, klev+1-k+1) + rd*0.5*(t(i,k-1)+t(i,k))/ &
87 ✗ paprs(i, k)*(pplay(i,k-1)-pplay(i,k))
88 END DO
89 END DO
90
91 ✗ CALL cmfmca(dtime, pres, dp, zgeom, pt, pq, cmfprt, cmfprs, ntop, nbas)
92
93 ✗ DO k = 1, klev
94 ✗ DO i = 1, klon
95 ✗ d_q(i, klev+1-k) = pq(i, k) - q(i, klev+1-k)
96 ✗ d_t(i, klev+1-k) = pt(i, k) - t(i, klev+1-k)
97 END DO
98 END DO
99
100 ✗ DO i = 1, klon
101 ✗ rain(i) = cmfprt(i)*rhoh2o
102 ✗ snow(i) = cmfprs(i)*rhoh2o
103 ✗ kbascm(i) = klev + 1 - nbas(i)
104 ✗ ktopcm(i) = klev + 1 - ntop(i)
105 END DO
106
107 IF (usekuo) THEN
108 CALL conkuo(dtime, paprs, pplay, t, q, conv_q, d_t_bis, d_q_bis, &
109 ✗ d_ql_bis, rneb_bis, rain_bis, snow_bis, ibas_bis, itop_bis)
110 ✗ DO k = 1, klev
111 ✗ DO i = 1, klon
112 ✗ d_t(i, k) = d_t(i, k) + d_t_bis(i, k)
113 ✗ d_q(i, k) = d_q(i, k) + d_q_bis(i, k)
114 END DO
115 END DO
116 ✗ DO i = 1, klon
117 ✗ rain(i) = rain(i) + rain_bis(i)
118 ✗ snow(i) = snow(i) + snow_bis(i)
119 ✗ kbascm(i) = min(kbascm(i), ibas_bis(i))
120 ✗ ktopcm(i) = max(ktopcm(i), itop_bis(i))
121 END DO
122 ✗ DO k = 1, klev ! eau liquide convective est
123 ✗ DO i = 1, klon ! dispersee dans l'air
124 ✗ zlvdcp = rlvtt/rcpd/(1.0+rvtmp2*q(i,k))
125 ✗ zlsdcp = rlstt/rcpd/(1.0+rvtmp2*q(i,k))
126 ✗ zdelta = max(0., sign(1.,rtt-t(i,k)))
127 ✗ zz = d_ql_bis(i, k) ! re-evap. de l'eau liquide
128 ✗ zb = max(0.0, zz)
129 ✗ za = -max(0.0, zz)*(zlvdcp*(1.-zdelta)+zlsdcp*zdelta)
130 ✗ d_t(i, k) = d_t(i, k) + za
131 ✗ d_q(i, k) = d_q(i, k) + zb
132 END DO
133 END DO
134 END IF
135
136 ✗ RETURN
137 END SUBROUTINE conccm
138 ✗ SUBROUTINE cmfmca(deltat, p, dp, gz, tb, shb, cmfprt, cmfprs, cnt, cnb)
139 USE dimphy
140 IMPLICIT NONE
141 ! -----------------------------------------------------------------------
142 ! Moist convective mass flux procedure:
143 ! If stratification is unstable to nonentraining parcel ascent,
144 ! complete an adjustment making use of a simple cloud model
145
146 ! Code generalized to allow specification of parcel ("updraft")
147 ! properties, as well as convective transport of an arbitrary
148 ! number of passive constituents (see cmrb array).
149 ! ----------------------------Code History-------------------------------
150 ! Original version: J. J. Hack, March 22, 1990
151 ! Standardized: J. Rosinski, June 1992
152 ! Reviewed: J. Hack, G. Taylor, August 1992
153 ! Adaptation au LMD: Z.X. Li, mars 1996 (reference: Hack 1994,
154 ! J. Geophys. Res. vol 99, D3, 5551-5568). J'ai
155 ! introduit les constantes et les fonctions thermo-
156 ! dynamiques du Centre Europeen. J'ai elimine le
157 ! re-indicage du code en esperant que cela pourra
158 ! simplifier la lecture et la comprehension.
159 ! -----------------------------------------------------------------------
160 INTEGER pcnst ! nombre de traceurs passifs
161 PARAMETER (pcnst=1)
162 ! ------------------------------Arguments--------------------------------
163 ! Input arguments
164
165 REAL deltat ! time step (seconds)
166 REAL p(klon, klev) ! pressure
167 REAL dp(klon, klev) ! delta-p
168 REAL gz(klon, klev) ! geopotential (a partir du sol)
169
170 ✗ REAL thtap(klon) ! PBL perturbation theta
171 ✗ REAL shp(klon) ! PBL perturbation specific humidity
172 ✗ REAL pblh(klon) ! PBL height (provided by PBL routine)
173 ✗ REAL cmrp(klon, pcnst) ! constituent perturbations in PBL
174
175 ! Updated arguments:
176
177 REAL tb(klon, klev) ! temperature (t bar)
178 REAL shb(klon, klev) ! specific humidity (sh bar)
179 ✗ REAL cmrb(klon, klev, pcnst) ! constituent mixing ratios (cmr bar)
180
181 ! Output arguments
182
183 ✗ REAL cmfdt(klon, klev) ! dT/dt due to moist convection
184 ✗ REAL cmfdq(klon, klev) ! dq/dt due to moist convection
185 ✗ REAL cmfmc(klon, klev) ! moist convection cloud mass flux
186 ✗ REAL cmfdqr(klon, klev) ! dq/dt due to convective rainout
187 ✗ REAL cmfsl(klon, klev) ! convective lw static energy flux
188 ✗ REAL cmflq(klon, klev) ! convective total water flux
189 REAL cmfprt(klon) ! convective precipitation rate
190 REAL cmfprs(klon) ! convective snowfall rate
191 ✗ REAL qc(klon, klev) ! dq/dt due to rainout terms
192 INTEGER cnt(klon) ! top level of convective activity
193 INTEGER cnb(klon) ! bottom level of convective activity
194 ! ------------------------------Parameters-------------------------------
195 REAL c0 ! rain water autoconversion coefficient
196 PARAMETER (c0=1.0E-4)
197 REAL dzmin ! minimum convective depth for precipitation
198 PARAMETER (dzmin=0.0)
199 REAL betamn ! minimum overshoot parameter
200 PARAMETER (betamn=0.10)
201 REAL cmftau ! characteristic adjustment time scale
202 PARAMETER (cmftau=3600.)
203 INTEGER limcnv ! top interface level limit for convection
204 PARAMETER (limcnv=1)
205 REAL tpmax ! maximum acceptable t perturbation (degrees C)
206 PARAMETER (tpmax=1.50)
207 REAL shpmax ! maximum acceptable q perturbation (g/g)
208 PARAMETER (shpmax=1.50E-3)
209 REAL tiny ! arbitrary small num used in transport estimates
210 PARAMETER (tiny=1.0E-36)
211 REAL eps ! convergence criteria (machine dependent)
212 PARAMETER (eps=1.0E-13)
213 REAL tmelt ! freezing point of water(req'd for rain vs snow)
214 PARAMETER (tmelt=273.15)
215 REAL ssfac ! supersaturation bound (detrained air)
216 PARAMETER (ssfac=1.001)
217
218 ! ---------------------------Local workspace-----------------------------
219 ✗ REAL gam(klon, klev) ! L/cp (d(qsat)/dT)
220 ✗ REAL sb(klon, klev) ! dry static energy (s bar)
221 ✗ REAL hb(klon, klev) ! moist static energy (h bar)
222 ✗ REAL shbs(klon, klev) ! sat. specific humidity (sh bar star)
223 ✗ REAL hbs(klon, klev) ! sat. moist static energy (h bar star)
224 ✗ REAL shbh(klon, klev+1) ! specific humidity on interfaces
225 ✗ REAL sbh(klon, klev+1) ! s bar on interfaces
226 ✗ REAL hbh(klon, klev+1) ! h bar on interfaces
227 ✗ REAL cmrh(klon, klev+1) ! interface constituent mixing ratio
228 ✗ REAL prec(klon) ! instantaneous total precipitation
229 ✗ REAL dzcld(klon) ! depth of convective layer (m)
230 ✗ REAL beta(klon) ! overshoot parameter (fraction)
231 REAL betamx ! local maximum on overshoot
232 ✗ REAL eta(klon) ! convective mass flux (kg/m^2 s)
233 REAL etagdt ! eta*grav*deltat
234 ✗ REAL cldwtr(klon) ! cloud water (mass)
235 ✗ REAL rnwtr(klon) ! rain water (mass)
236 ✗ REAL sc(klon) ! dry static energy ("in-cloud")
237 ✗ REAL shc(klon) ! specific humidity ("in-cloud")
238 ✗ REAL hc(klon) ! moist static energy ("in-cloud")
239 ✗ REAL cmrc(klon) ! constituent mix rat ("in-cloud")
240 ✗ REAL dq1(klon) ! shb convective change (lower lvl)
241 ✗ REAL dq2(klon) ! shb convective change (mid level)
242 ✗ REAL dq3(klon) ! shb convective change (upper lvl)
243 ✗ REAL ds1(klon) ! sb convective change (lower lvl)
244 ✗ REAL ds2(klon) ! sb convective change (mid level)
245 ✗ REAL ds3(klon) ! sb convective change (upper lvl)
246 ✗ REAL dcmr1(klon) ! cmrb convective change (lower lvl)
247 ✗ REAL dcmr2(klon) ! cmrb convective change (mid level)
248 ✗ REAL dcmr3(klon) ! cmrb convective change (upper lvl)
249 ✗ REAL flotab(klon) ! hc - hbs (mesure d'instabilite)
250 ✗ LOGICAL ldcum(klon) ! .true. si la convection existe
251 LOGICAL etagt0 ! true if eta > 0.0
252 REAL dt ! current 2 delta-t (model time step)
253 REAL cats ! modified characteristic adj. time
254 REAL rdt ! 1./dt
255 REAL qprime ! modified specific humidity pert.
256 REAL tprime ! modified thermal perturbation
257 REAL pblhgt ! bounded pbl height (max[pblh,1m])
258 REAL fac1 ! intermediate scratch variable
259 REAL shprme ! intermediate specific humidity pert.
260 REAL qsattp ! saturation mixing ratio for
261 ! ! thermally perturbed PBL parcels
262 REAL dz ! local layer depth
263 REAL b1 ! bouyancy measure in detrainment lvl
264 REAL b2 ! bouyancy measure in condensation lvl
265 REAL g ! bounded vertical gradient of hb
266 REAL tmass ! total mass available for convective exchange
267 REAL denom ! intermediate scratch variable
268 REAL qtest1 ! used in negative q test (middle lvl)
269 REAL qtest2 ! used in negative q test (lower lvl)
270 REAL fslkp ! flux lw static energy (bot interface)
271 REAL fslkm ! flux lw static energy (top interface)
272 REAL fqlkp ! flux total water (bottom interface)
273 REAL fqlkm ! flux total water (top interface)
274 REAL botflx ! bottom constituent mixing ratio flux
275 REAL topflx ! top constituent mixing ratio flux
276 REAL efac1 ! ratio cmrb to convectively induced change (bot lvl)
277 REAL efac2 ! ratio cmrb to convectively induced change (mid lvl)
278 REAL efac3 ! ratio cmrb to convectively induced change (top lvl)
279
280 INTEGER i, k ! indices horizontal et vertical
281 INTEGER km1 ! k-1 (index offset)
282 INTEGER kp1 ! k+1 (index offset)
283 INTEGER m ! constituent index
284 INTEGER ktp ! temporary index used to track top
285 INTEGER is ! nombre de points a ajuster
286
287 REAL tmp1, tmp2, tmp3, tmp4
288 REAL zx_t, zx_p, zx_q, zx_qs, zx_gam
289 REAL zcor, zdelta, zcvm5
290
291 REAL qhalf, sh1, sh2, shbs1, shbs2
292 include "YOMCST.h"
293 include "YOETHF.h"
294 include "FCTTRE.h"
295 qhalf(sh1, sh2, shbs1, shbs2) = min(max(sh1,sh2), &
296 (shbs2*sh1+shbs1*sh2)/(shbs1+shbs2))
297
298 ! -----------------------------------------------------------------------
299 ! pas de traceur pour l'instant
300 ✗ DO m = 1, pcnst
301 ✗ DO k = 1, klev
302 ✗ DO i = 1, klon
303 ✗ cmrb(i, k, m) = 0.0
304 END DO
305 END DO
306 END DO
307
308 ! Les perturbations de la couche limite sont zero pour l'instant
309
310 ✗ DO m = 1, pcnst
311 ✗ DO i = 1, klon
312 ✗ cmrp(i, m) = 0.0
313 END DO
314 END DO
315 ✗ DO i = 1, klon
316 ✗ thtap(i) = 0.0
317 ✗ shp(i) = 0.0
318 ✗ pblh(i) = 1.0
319 END DO
320
321 ! Ensure that characteristic adjustment time scale (cmftau) assumed
322 ! in estimate of eta isn't smaller than model time scale (deltat)
323
324 ✗ dt = deltat
325 ✗ cats = max(dt, cmftau)
326 ✗ rdt = 1.0/dt
327
328 ! Compute sb,hb,shbs,hbs
329
330 ✗ DO k = 1, klev
331 ✗ DO i = 1, klon
332 ✗ zx_t = tb(i, k)
333 ✗ zx_p = p(i, k)
334 ✗ zx_q = shb(i, k)
335 ✗ zdelta = max(0., sign(1.,rtt-zx_t))
336 ✗ zcvm5 = r5les*rlvtt*(1.-zdelta) + r5ies*rlstt*zdelta
337 ✗ zcvm5 = zcvm5/rcpd/(1.0+rvtmp2*zx_q)
338 ✗ zx_qs = r2es*foeew(zx_t, zdelta)/zx_p
339 ✗ zx_qs = min(0.5, zx_qs)
340 ✗ zcor = 1./(1.-retv*zx_qs)
341 ✗ zx_qs = zx_qs*zcor
342 ✗ zx_gam = foede(zx_t, zdelta, zcvm5, zx_qs, zcor)
343 ✗ shbs(i, k) = zx_qs
344 ✗ gam(i, k) = zx_gam
345 END DO
346 END DO
347
348 ✗ DO k = limcnv, klev
349 ✗ DO i = 1, klon
350 ✗ sb(i, k) = rcpd*tb(i, k) + gz(i, k)
351 ✗ hb(i, k) = sb(i, k) + rlvtt*shb(i, k)
352 ✗ hbs(i, k) = sb(i, k) + rlvtt*shbs(i, k)
353 END DO
354 END DO
355
356 ! Compute sbh, shbh
357
358 ✗ DO k = limcnv + 1, klev
359 ✗ km1 = k - 1
360 ✗ DO i = 1, klon
361 ✗ sbh(i, k) = 0.5*(sb(i,km1)+sb(i,k))
362 ✗ shbh(i, k) = qhalf(shb(i,km1), shb(i,k), shbs(i,km1), shbs(i,k))
363 ✗ hbh(i, k) = sbh(i, k) + rlvtt*shbh(i, k)
364 END DO
365 END DO
366
367 ! Specify properties at top of model (not used, but filling anyway)
368
369 ✗ DO i = 1, klon
370 ✗ sbh(i, limcnv) = sb(i, limcnv)
371 ✗ shbh(i, limcnv) = shb(i, limcnv)
372 ✗ hbh(i, limcnv) = hb(i, limcnv)
373 END DO
374
375 ! Zero vertically independent control, tendency & diagnostic arrays
376
377 ✗ DO i = 1, klon
378 ✗ prec(i) = 0.0
379 ✗ dzcld(i) = 0.0
380 ✗ cnb(i) = 0
381 ✗ cnt(i) = klev + 1
382 END DO
383
384 ✗ DO k = 1, klev
385 ✗ DO i = 1, klon
386 ✗ cmfdt(i, k) = 0.
387 ✗ cmfdq(i, k) = 0.
388 ✗ cmfdqr(i, k) = 0.
389 ✗ cmfmc(i, k) = 0.
390 ✗ cmfsl(i, k) = 0.
391 ✗ cmflq(i, k) = 0.
392 END DO
393 END DO
394
395 ! Begin moist convective mass flux adjustment procedure.
396 ! Formalism ensures that negative cloud liquid water can never occur
397
398 ✗ DO k = klev - 1, limcnv + 1, -1
399 ✗ km1 = k - 1
400 ✗ kp1 = k + 1
401 ✗ DO i = 1, klon
402 ✗ eta(i) = 0.0
403 ✗ beta(i) = 0.0
404 ✗ ds1(i) = 0.0
405 ✗ ds2(i) = 0.0
406 ✗ ds3(i) = 0.0
407 ✗ dq1(i) = 0.0
408 ✗ dq2(i) = 0.0
409 ✗ dq3(i) = 0.0
410
411 ! Specification of "cloud base" conditions
412
413 qprime = 0.0
414 tprime = 0.0
415
416 ! Assign tprime within the PBL to be proportional to the quantity
417 ! thtap (which will be bounded by tpmax), passed to this routine by
418 ! the PBL routine. Don't allow perturbation to produce a dry
419 ! adiabatically unstable parcel. Assign qprime within the PBL to be
420 ! an appropriately modified value of the quantity shp (which will be
421 ! bounded by shpmax) passed to this routine by the PBL routine. The
422 ! quantity qprime should be less than the local saturation value
423 ! (qsattp=qsat[t+tprime,p]). In both cases, thtap and shp are
424 ! linearly reduced toward zero as the PBL top is approached.
425
426 ✗ pblhgt = max(pblh(i), 1.0)
427 ✗ IF (gz(i,kp1)/rg<=pblhgt .AND. dzcld(i)==0.0) THEN
428 ✗ fac1 = max(0.0, 1.0-gz(i,kp1)/rg/pblhgt)
429 ✗ tprime = min(thtap(i), tpmax)*fac1
430 ✗ qsattp = shbs(i, kp1) + rcpd/rlvtt*gam(i, kp1)*tprime
431 ✗ shprme = min(min(shp(i),shpmax)*fac1, max(qsattp-shb(i,kp1),0.0))
432 ✗ qprime = max(qprime, shprme)
433 ELSE
434 tprime = 0.0
435 qprime = 0.0
436 END IF
437
438 ! Specify "updraft" (in-cloud) thermodynamic properties
439
440 ✗ sc(i) = sb(i, kp1) + rcpd*tprime
441 ✗ shc(i) = shb(i, kp1) + qprime
442 ✗ hc(i) = sc(i) + rlvtt*shc(i)
443 ✗ flotab(i) = hc(i) - hbs(i, k)
444 ✗ dz = dp(i, k)*rd*tb(i, k)/rg/p(i, k)
445 ✗ IF (flotab(i)>0.0) THEN
446 ✗ dzcld(i) = dzcld(i) + dz
447 ELSE
448 ✗ dzcld(i) = 0.0
449 END IF
450 END DO
451
452 ! Check on moist convective instability
453
454 is = 0
455 ✗ DO i = 1, klon
456 ✗ IF (flotab(i)>0.0) THEN
457 ✗ ldcum(i) = .TRUE.
458 ✗ is = is + 1
459 ELSE
460 ✗ ldcum(i) = .FALSE.
461 END IF
462 END DO
463
464 ✗ IF (is==0) THEN
465 ✗ DO i = 1, klon
466 ✗ dzcld(i) = 0.0
467 END DO
468 GO TO 70
469 END IF
470
471 ! Current level just below top level => no overshoot
472
473 ✗ IF (k<=limcnv+1) THEN
474 ✗ DO i = 1, klon
475 ✗ IF (ldcum(i)) THEN
476 ✗ cldwtr(i) = sb(i, k) - sc(i) + flotab(i)/(1.0+gam(i,k))
477 ✗ cldwtr(i) = max(0.0, cldwtr(i))
478 ✗ beta(i) = 0.0
479 END IF
480 END DO
481 GO TO 20
482 END IF
483
484 ! First guess at overshoot parameter using crude buoyancy closure
485 ! 10% overshoot assumed as a minimum and 1-c0*dz maximum to start
486 ! If pre-existing supersaturation in detrainment layer, beta=0
487 ! cldwtr is temporarily equal to RLVTT*l (l=> liquid water)
488
489 ✗ DO i = 1, klon
490 ✗ IF (ldcum(i)) THEN
491 ✗ cldwtr(i) = sb(i, k) - sc(i) + flotab(i)/(1.0+gam(i,k))
492 ✗ cldwtr(i) = max(0.0, cldwtr(i))
493 ✗ betamx = 1.0 - c0*max(0.0, (dzcld(i)-dzmin))
494 ✗ b1 = (hc(i)-hbs(i,km1))*dp(i, km1)
495 ✗ b2 = (hc(i)-hbs(i,k))*dp(i, k)
496 ✗ beta(i) = max(betamn, min(betamx,1.0+b1/b2))
497 ✗ IF (hbs(i,km1)<=hb(i,km1)) beta(i) = 0.0
498 END IF
499 END DO
500
501 ! Bound maximum beta to ensure physically realistic solutions
502
503 ! First check constrains beta so that eta remains positive
504 ! (assuming that eta is already positive for beta equal zero)
505 ! La premiere contrainte de beta est que le flux eta doit etre positif.
506
507 ✗ DO i = 1, klon
508 ✗ IF (ldcum(i)) THEN
509 tmp1 = (1.0+gam(i,k))*(sc(i)-sbh(i,kp1)+cldwtr(i)) - &
510 ✗ (hbh(i,kp1)-hc(i))*dp(i, k)/dp(i, kp1)
511 ✗ tmp2 = (1.0+gam(i,k))*(sc(i)-sbh(i,k))
512 ✗ IF ((beta(i)*tmp2-tmp1)>0.0) THEN
513 ✗ betamx = 0.99*(tmp1/tmp2)
514 ✗ beta(i) = max(0.0, min(betamx,beta(i)))
515 END IF
516
517 ! Second check involves supersaturation of "detrainment layer"
518 ! small amount of supersaturation acceptable (by ssfac factor)
519 ! La 2e contrainte est que la convection ne doit pas sursaturer
520 ! la "detrainment layer", Neanmoins, une petite sursaturation
521 ! est acceptee (facteur ssfac).
522
523 ✗ IF (hb(i,km1)<hbs(i,km1)) THEN
524 tmp1 = (1.0+gam(i,k))*(sc(i)-sbh(i,kp1)+cldwtr(i)) - &
525 (hbh(i,kp1)-hc(i))*dp(i, k)/dp(i, kp1)
526 ✗ tmp1 = tmp1/dp(i, k)
527 tmp2 = gam(i, km1)*(sbh(i,k)-sc(i)+cldwtr(i)) - hbh(i, k) + hc(i) - &
528 ✗ sc(i) + sbh(i, k)
529 ✗ tmp3 = (1.0+gam(i,k))*(sc(i)-sbh(i,k))/dp(i, k)
530 tmp4 = (dt/cats)*(hc(i)-hbs(i,k))*tmp2/(dp(i,km1)*(hbs(i,km1)-hb(i, &
531 ✗ km1))) + tmp3
532 ✗ IF ((beta(i)*tmp4-tmp1)>0.0) THEN
533 ✗ betamx = ssfac*(tmp1/tmp4)
534 ✗ beta(i) = max(0.0, min(betamx,beta(i)))
535 END IF
536 ELSE
537 ✗ beta(i) = 0.0
538 END IF
539
540 ! Third check to avoid introducing 2 delta x thermodynamic
541 ! noise in the vertical ... constrain adjusted h (or theta e)
542 ! so that the adjustment doesn't contribute to "kinks" in h
543
544 ✗ g = min(0.0, hb(i,k)-hb(i,km1))
545 ✗ tmp3 = (hb(i,k)-hb(i,km1)-g)*(cats/dt)/(hc(i)-hbs(i,k))
546 tmp1 = (1.0+gam(i,k))*(sc(i)-sbh(i,kp1)+cldwtr(i)) - &
547 (hbh(i,kp1)-hc(i))*dp(i, k)/dp(i, kp1)
548 ✗ tmp1 = tmp1/dp(i, k)
549 ✗ tmp1 = tmp3*tmp1 + (hc(i)-hbh(i,kp1))/dp(i, k)
550 tmp2 = tmp3*(1.0+gam(i,k))*(sc(i)-sbh(i,k))/dp(i, k) + &
551 ✗ (hc(i)-hbh(i,k)-cldwtr(i))*(1.0/dp(i,k)+1.0/dp(i,kp1))
552 ✗ IF ((beta(i)*tmp2-tmp1)>0.0) THEN
553 betamx = 0.0
554 ✗ IF (tmp2/=0.0) betamx = tmp1/tmp2
555 ✗ beta(i) = max(0.0, min(betamx,beta(i)))
556 END IF
557 END IF
558 END DO
559
560 ! Calculate mass flux required for stabilization.
561
562 ! Ensure that the convective mass flux, eta, is positive by
563 ! setting negative values of eta to zero..
564 ! Ensure that estimated mass flux cannot move more than the
565 ! minimum of total mass contained in either layer k or layer k+1.
566 ! Also test for other pathological cases that result in non-
567 ! physical states and adjust eta accordingly.
568
569 20 CONTINUE
570 ✗ DO i = 1, klon
571 ✗ IF (ldcum(i)) THEN
572 ✗ beta(i) = max(0.0, beta(i))
573 ✗ tmp1 = hc(i) - hbs(i, k)
574 tmp2 = ((1.0+gam(i,k))*(sc(i)-sbh(i,kp1)+cldwtr(i))-beta(i)*(1.0+gam( &
575 ✗ i,k))*(sc(i)-sbh(i,k)))/dp(i, k) - (hbh(i,kp1)-hc(i))/dp(i, kp1)
576 ✗ eta(i) = tmp1/(tmp2*rg*cats)
577 ✗ tmass = min(dp(i,k), dp(i,kp1))/rg
578 ✗ IF (eta(i)>tmass*rdt .OR. eta(i)<=0.0) eta(i) = 0.0
579
580 ! Check on negative q in top layer (bound beta)
581
582 ✗ IF (shc(i)-shbh(i,k)<0.0 .AND. beta(i)*eta(i)/=0.0) THEN
583 ✗ denom = eta(i)*rg*dt*(shc(i)-shbh(i,k))/dp(i, km1)
584 ✗ beta(i) = max(0.0, min(-0.999*shb(i,km1)/denom,beta(i)))
585 END IF
586
587 ! Check on negative q in middle layer (zero eta)
588
589 qtest1 = shb(i, k) + eta(i)*rg*dt*((shc(i)-shbh(i, &
590 kp1))-(1.0-beta(i))*cldwtr(i)/rlvtt-beta(i)*(shc(i)-shbh(i, &
591 ✗ k)))/dp(i, k)
592 ✗ IF (qtest1<=0.0) eta(i) = 0.0
593
594 ! Check on negative q in lower layer (bound eta)
595
596 ✗ fac1 = -(shbh(i,kp1)-shc(i))/dp(i, kp1)
597 ✗ qtest2 = shb(i, kp1) - eta(i)*rg*dt*fac1
598 ✗ IF (qtest2<0.0) THEN
599 ✗ eta(i) = 0.99*shb(i, kp1)/(rg*dt*fac1)
600 END IF
601 END IF
602 END DO
603
604
605 ! Calculate cloud water, rain water, and thermodynamic changes
606
607 ✗ DO i = 1, klon
608 ✗ IF (ldcum(i)) THEN
609 ✗ etagdt = eta(i)*rg*dt
610 ✗ cldwtr(i) = etagdt*cldwtr(i)/rlvtt/rg
611 ✗ rnwtr(i) = (1.0-beta(i))*cldwtr(i)
612 ✗ ds1(i) = etagdt*(sbh(i,kp1)-sc(i))/dp(i, kp1)
613 ✗ dq1(i) = etagdt*(shbh(i,kp1)-shc(i))/dp(i, kp1)
614 ds2(i) = (etagdt*(sc(i)-sbh(i,kp1))+rlvtt*rg*cldwtr(i)-beta(i)*etagdt &
615 ✗ *(sc(i)-sbh(i,k)))/dp(i, k)
616 dq2(i) = (etagdt*(shc(i)-shbh(i,kp1))-rg*rnwtr(i)-beta(i)*etagdt*(shc &
617 ✗ (i)-shbh(i,k)))/dp(i, k)
618 ds3(i) = beta(i)*(etagdt*(sc(i)-sbh(i,k))-rlvtt*rg*cldwtr(i))/dp(i, &
619 ✗ km1)
620 ✗ dq3(i) = beta(i)*etagdt*(shc(i)-shbh(i,k))/dp(i, km1)
621
622 ! Isolate convective fluxes for later diagnostics
623
624 ✗ fslkp = eta(i)*(sc(i)-sbh(i,kp1))
625 ✗ fslkm = beta(i)*(eta(i)*(sc(i)-sbh(i,k))-rlvtt*cldwtr(i)*rdt)
626 ✗ fqlkp = eta(i)*(shc(i)-shbh(i,kp1))
627 ✗ fqlkm = beta(i)*eta(i)*(shc(i)-shbh(i,k))
628
629
630 ! Update thermodynamic profile (update sb, hb, & hbs later)
631
632 ✗ tb(i, kp1) = tb(i, kp1) + ds1(i)/rcpd
633 ✗ tb(i, k) = tb(i, k) + ds2(i)/rcpd
634 ✗ tb(i, km1) = tb(i, km1) + ds3(i)/rcpd
635 ✗ shb(i, kp1) = shb(i, kp1) + dq1(i)
636 ✗ shb(i, k) = shb(i, k) + dq2(i)
637 ✗ shb(i, km1) = shb(i, km1) + dq3(i)
638 ✗ prec(i) = prec(i) + rnwtr(i)/rhoh2o
639
640 ! Update diagnostic information for final budget
641 ! Tracking temperature & specific humidity tendencies,
642 ! rainout term, convective mass flux, convective liquid
643 ! water static energy flux, and convective total water flux
644
645 ✗ cmfdt(i, kp1) = cmfdt(i, kp1) + ds1(i)/rcpd*rdt
646 ✗ cmfdt(i, k) = cmfdt(i, k) + ds2(i)/rcpd*rdt
647 ✗ cmfdt(i, km1) = cmfdt(i, km1) + ds3(i)/rcpd*rdt
648 ✗ cmfdq(i, kp1) = cmfdq(i, kp1) + dq1(i)*rdt
649 ✗ cmfdq(i, k) = cmfdq(i, k) + dq2(i)*rdt
650 ✗ cmfdq(i, km1) = cmfdq(i, km1) + dq3(i)*rdt
651 ✗ cmfdqr(i, k) = cmfdqr(i, k) + (rg*rnwtr(i)/dp(i,k))*rdt
652 ✗ cmfmc(i, kp1) = cmfmc(i, kp1) + eta(i)
653 ✗ cmfmc(i, k) = cmfmc(i, k) + beta(i)*eta(i)
654 ✗ cmfsl(i, kp1) = cmfsl(i, kp1) + fslkp
655 ✗ cmfsl(i, k) = cmfsl(i, k) + fslkm
656 ✗ cmflq(i, kp1) = cmflq(i, kp1) + rlvtt*fqlkp
657 ✗ cmflq(i, k) = cmflq(i, k) + rlvtt*fqlkm
658 ✗ qc(i, k) = (rg*rnwtr(i)/dp(i,k))*rdt
659 END IF
660 END DO
661
662 ! Next, convectively modify passive constituents
663
664 ✗ DO m = 1, pcnst
665 ✗ DO i = 1, klon
666 ✗ IF (ldcum(i)) THEN
667
668 ! If any of the reported values of the constituent is negative in
669 ! the three adjacent levels, nothing will be done to the profile
670
671 ✗ IF ((cmrb(i,kp1,m)<0.0) .OR. (cmrb(i,k,m)<0.0) .OR. (cmrb(i,km1, &
672 m)<0.0)) GO TO 40
673
674 ! Specify constituent interface values (linear interpolation)
675
676 ✗ cmrh(i, k) = 0.5*(cmrb(i,km1,m)+cmrb(i,k,m))
677 ✗ cmrh(i, kp1) = 0.5*(cmrb(i,k,m)+cmrb(i,kp1,m))
678
679 ! Specify perturbation properties of constituents in PBL
680
681 ✗ pblhgt = max(pblh(i), 1.0)
682 ✗ IF (gz(i,kp1)/rg<=pblhgt .AND. dzcld(i)==0.) THEN
683 ✗ fac1 = max(0.0, 1.0-gz(i,kp1)/rg/pblhgt)
684 ✗ cmrc(i) = cmrb(i, kp1, m) + cmrp(i, m)*fac1
685 ELSE
686 ✗ cmrc(i) = cmrb(i, kp1, m)
687 END IF
688
689 ! Determine fluxes, flux divergence => changes due to convection
690 ! Logic must be included to avoid producing negative values. A bit
691 ! messy since there are no a priori assumptions about profiles.
692 ! Tendency is modified (reduced) when pending disaster detected.
693
694 ✗ etagdt = eta(i)*rg*dt
695 ✗ botflx = etagdt*(cmrc(i)-cmrh(i,kp1))
696 ✗ topflx = beta(i)*etagdt*(cmrc(i)-cmrh(i,k))
697 ✗ dcmr1(i) = -botflx/dp(i, kp1)
698 efac1 = 1.0
699 efac2 = 1.0
700 efac3 = 1.0
701
702 ✗ IF (cmrb(i,kp1,m)+dcmr1(i)<0.0) THEN
703 ✗ efac1 = max(tiny, abs(cmrb(i,kp1,m)/dcmr1(i))-eps)
704 END IF
705
706 ✗ IF (efac1==tiny .OR. efac1>1.0) efac1 = 0.0
707 ✗ dcmr1(i) = -efac1*botflx/dp(i, kp1)
708 ✗ dcmr2(i) = (efac1*botflx-topflx)/dp(i, k)
709
710 ✗ IF (cmrb(i,k,m)+dcmr2(i)<0.0) THEN
711 ✗ efac2 = max(tiny, abs(cmrb(i,k,m)/dcmr2(i))-eps)
712 END IF
713
714 ✗ IF (efac2==tiny .OR. efac2>1.0) efac2 = 0.0
715 ✗ dcmr2(i) = (efac1*botflx-efac2*topflx)/dp(i, k)
716 ✗ dcmr3(i) = efac2*topflx/dp(i, km1)
717
718 ✗ IF (cmrb(i,km1,m)+dcmr3(i)<0.0) THEN
719 ✗ efac3 = max(tiny, abs(cmrb(i,km1,m)/dcmr3(i))-eps)
720 END IF
721
722 ✗ IF (efac3==tiny .OR. efac3>1.0) efac3 = 0.0
723 ✗ efac3 = min(efac2, efac3)
724 ✗ dcmr2(i) = (efac1*botflx-efac3*topflx)/dp(i, k)
725 ✗ dcmr3(i) = efac3*topflx/dp(i, km1)
726
727 ✗ cmrb(i, kp1, m) = cmrb(i, kp1, m) + dcmr1(i)
728 ✗ cmrb(i, k, m) = cmrb(i, k, m) + dcmr2(i)
729 ✗ cmrb(i, km1, m) = cmrb(i, km1, m) + dcmr3(i)
730 END IF
731 ✗ 40 END DO
732 END DO ! end of m=1,pcnst loop
733
734 ✗ IF (k==limcnv+1) GO TO 60 ! on ne pourra plus glisser
735
736 ! Dans la procedure de glissage ascendant, les variables thermo-
737 ! dynamiques des couches k et km1 servent au calcul des couches
738 ! superieures. Elles ont donc besoin d'une mise-a-jour.
739
740 ✗ DO i = 1, klon
741 ✗ IF (ldcum(i)) THEN
742 ✗ zx_t = tb(i, k)
743 ✗ zx_p = p(i, k)
744 ✗ zx_q = shb(i, k)
745 ✗ zdelta = max(0., sign(1.,rtt-zx_t))
746 ✗ zcvm5 = r5les*rlvtt*(1.-zdelta) + r5ies*rlstt*zdelta
747 ✗ zcvm5 = zcvm5/rcpd/(1.0+rvtmp2*zx_q)
748 ✗ zx_qs = r2es*foeew(zx_t, zdelta)/zx_p
749 ✗ zx_qs = min(0.5, zx_qs)
750 ✗ zcor = 1./(1.-retv*zx_qs)
751 ✗ zx_qs = zx_qs*zcor
752 ✗ zx_gam = foede(zx_t, zdelta, zcvm5, zx_qs, zcor)
753 ✗ shbs(i, k) = zx_qs
754 ✗ gam(i, k) = zx_gam
755
756 ✗ zx_t = tb(i, km1)
757 ✗ zx_p = p(i, km1)
758 ✗ zx_q = shb(i, km1)
759 ✗ zdelta = max(0., sign(1.,rtt-zx_t))
760 ✗ zcvm5 = r5les*rlvtt*(1.-zdelta) + r5ies*rlstt*zdelta
761 ✗ zcvm5 = zcvm5/rcpd/(1.0+rvtmp2*zx_q)
762 ✗ zx_qs = r2es*foeew(zx_t, zdelta)/zx_p
763 ✗ zx_qs = min(0.5, zx_qs)
764 ✗ zcor = 1./(1.-retv*zx_qs)
765 ✗ zx_qs = zx_qs*zcor
766 ✗ zx_gam = foede(zx_t, zdelta, zcvm5, zx_qs, zcor)
767 ✗ shbs(i, km1) = zx_qs
768 ✗ gam(i, km1) = zx_gam
769
770 ✗ sb(i, k) = sb(i, k) + ds2(i)
771 ✗ sb(i, km1) = sb(i, km1) + ds3(i)
772 ✗ hb(i, k) = sb(i, k) + rlvtt*shb(i, k)
773 ✗ hb(i, km1) = sb(i, km1) + rlvtt*shb(i, km1)
774 ✗ hbs(i, k) = sb(i, k) + rlvtt*shbs(i, k)
775 ✗ hbs(i, km1) = sb(i, km1) + rlvtt*shbs(i, km1)
776
777 ✗ sbh(i, k) = 0.5*(sb(i,k)+sb(i,km1))
778 ✗ shbh(i, k) = qhalf(shb(i,km1), shb(i,k), shbs(i,km1), shbs(i,k))
779 ✗ hbh(i, k) = sbh(i, k) + rlvtt*shbh(i, k)
780 ✗ sbh(i, km1) = 0.5*(sb(i,km1)+sb(i,k-2))
781 shbh(i, km1) = qhalf(shb(i,k-2), shb(i,km1), shbs(i,k-2), &
782 ✗ shbs(i,km1))
783 ✗ hbh(i, km1) = sbh(i, km1) + rlvtt*shbh(i, km1)
784 END IF
785 END DO
786
787 ! Ensure that dzcld is reset if convective mass flux zero
788 ! specify the current vertical extent of the convective activity
789 ! top of convective layer determined by size of overshoot param.
790
791 60 CONTINUE
792 ✗ DO i = 1, klon
793 ✗ etagt0 = eta(i) > 0.0
794 ✗ IF (.NOT. etagt0) dzcld(i) = 0.0
795 ✗ IF (etagt0 .AND. beta(i)>betamn) THEN
796 ktp = km1
797 ELSE
798 ktp = k
799 END IF
800 ✗ IF (etagt0) THEN
801 ✗ cnt(i) = min(cnt(i), ktp)
802 ✗ cnb(i) = max(cnb(i), k)
803 END IF
804 END DO
805 ✗ 70 END DO ! end of k loop
806
807 ! determine whether precipitation, prec, is frozen (snow) or not
808
809 ✗ DO i = 1, klon
810 ✗ IF (tb(i,klev)<tmelt .AND. tb(i,klev-1)<tmelt) THEN
811 ✗ cmfprs(i) = prec(i)*rdt
812 ELSE
813 ✗ cmfprt(i) = prec(i)*rdt
814 END IF
815 END DO
816
817 ✗ RETURN ! we're all done ... return to calling procedure
818 END SUBROUTINE cmfmca
819