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lmdz_wake.F90 @ 4841

Last change on this file since 4841 was 4841, checked in by fhourdin, 3 months ago
Suite wake
Property copyright set to Name of program: LMDZ Creation date: 1984 Version: LMDZ5 License: CeCILL version 2 Holder: Laboratoire de m\'et\'eorologie dynamique, CNRS, UMR 8539 See the license file in the root directory Property svn:eol-style set to `native` Property svn:keywords set to `Author Date Id Revision`
File size: 117.6 KB

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1	MODULE lmdz_wake
2
3	! $Id: lmdz_wake.F90 4841 2024-03-02 20:37:56Z fhourdin $
4
5	CONTAINS
6
7	SUBROUTINE wake(klon,klev,znatsurf, p, ph, pi, dtime, &
8	tb0, qb0, omgb, &
9	dtdwn, dqdwn, amdwn, amup, dta, dqa, wgen, &
10	sigd_con, Cin, &
11	deltatw, deltaqw, sigmaw, asigmaw, wdens, awdens, & ! state variables
12	dth, hw, wape, fip, gfl, &
13	dtls, dqls, ktopw, omgbdth, dp_omgb, tx, qx, &
14	dtke, dqke, omg, dp_deltomg, wkspread, cstar, &
15	d_deltat_gw, & ! tendencies
16	d_deltatw2, d_deltaqw2, d_sigmaw2, d_asigmaw2, d_wdens2, d_awdens2) ! tendencies
17
18
19	! **************************************************************
20	! *
21	! WAKE *
22	! retour a un Pupper fixe *
23	! *
24	! written by : GRANDPEIX Jean-Yves 09/03/2000 *
25	! modified by : ROEHRIG Romain 01/29/2007 *
26	! **************************************************************
27
28
29	USE lmdz_wake_ini , ONLY : wake_ini
30	USE lmdz_wake_ini , ONLY : prt_level,epsim1,RG,RD
31	USE lmdz_wake_ini , ONLY : stark, wdens_ref, coefgw, alpk, wk_pupper
32	USE lmdz_wake_ini , ONLY : crep_upper, crep_sol, tau_cv, rzero, aa0, flag_wk_check_trgl
33	USE lmdz_wake_ini , ONLY : ok_bug_gfl
34	USE lmdz_wake_ini , ONLY : iflag_wk_act, iflag_wk_check_trgl, iflag_wk_pop_dyn, wdensinit, wdensthreshold
35	USE lmdz_wake_ini , ONLY : sigmad, hwmin, wapecut, cstart, sigmaw_max, dens_rate, epsilon_loc
36	USE lmdz_wake_ini , ONLY : iflag_wk_profile
37	USE lmdz_wake_ini , ONLY : smallestreal
38
39
40	IMPLICIT NONE
41	! ============================================================================
42
43
44	! But : Decrire le comportement des poches froides apparaissant dans les
45	! grands systemes convectifs, et fournir l'energie disponible pour
46	! le declenchement de nouvelles colonnes convectives.
47
48	! State variables :
49	! deltatw : temperature difference between wake and off-wake regions
50	! deltaqw : specific humidity difference between wake and off-wake regions
51	! sigmaw : fractional area covered by wakes.
52	! asigmaw : fractional area covered by active wakes.
53	! wdens : number of wakes per unit area
54	! awdens : number of active wakes per unit area
55
56	! Variable de sortie :
57
58	! wape : WAke Potential Energy
59	! fip : Front Incident Power (W/m2) - ALP
60	! gfl : Gust Front Length per unit area (m-1)
61	! dtls : large scale temperature tendency due to wake
62	! dqls : large scale humidity tendency due to wake
63	! hw : wake top hight (given by hw*deltatw(1)/2=wape)
64	! dp_omgb : vertical gradient of large scale omega
65	! awdens : densite de poches actives
66	! wdens : densite de poches
67	! omgbdth: flux of Delta_Theta transported by LS omega
68	! dtKE : differential heating (wake - unpertubed)
69	! dqKE : differential moistening (wake - unpertubed)
70	! omg : Delta_omg =vertical velocity diff. wake-undist. (Pa/s)
71	! dp_deltomg : vertical gradient of omg (s-1)
72	! wkspread : spreading term in d_t_wake and d_q_wake
73	! deltatw : updated temperature difference (T_w-T_u).
74	! deltaqw : updated humidity difference (q_w-q_u).
75	! sigmaw : updated wake fractional area.
76	! asigmaw : updated active wake fractional area.
77	! d_deltat_gw : delta T tendency due to GW
78
79	! Variables d'entree :
80
81	! aire : aire de la maille
82	! tb0 : horizontal average of temperature (K)
83	! qb0 : horizontal average of humidity (kg/kg)
84	! omgb : vitesse verticale moyenne sur la maille (Pa/s)
85	! dtdwn: source de chaleur due aux descentes (K/s)
86	! dqdwn: source d'humidite due aux descentes (kg/kg/s)
87	! dta : source de chaleur due courants satures et detrain (K/s)
88	! dqa : source d'humidite due aux courants satures et detra (kg/kg/s)
89	! wgen : number of wakes generated per unit area and per sec (/m^2/s)
90	! amdwn: flux de masse total des descentes, par unite de
91	! surface de la maille (kg/m2/s)
92	! amup : flux de masse total des ascendances, par unite de
93	! surface de la maille (kg/m2/s)
94	! sigd_con:
95	! Cin : convective inhibition
96	! p : pressions aux milieux des couches (Pa)
97	! ph : pressions aux interfaces (Pa)
98	! pi : (p/p_0)**kapa (adim)
99	! dtime: increment temporel (s)
100
101	! Variables internes :
102
103	! rho : mean density at P levels
104	! rhoh : mean density at Ph levels
105	! tb : mean temperature \| may change within
106	! qb : mean humidity \| sub-time-stepping
107	! thb : mean potential temperature
108	! thx : potential temperature in (x) area
109	! tx : temperature in (x) area
110	! qx : humidity in (x) area
111	! dp_omgb: vertical gradient og LS omega
112	! omgbw : wake average vertical omega
113	! dp_omgbw: vertical gradient of omgbw
114	! omgbdq : flux of Delta_q transported by LS omega
115	! dth : potential temperature diff. wake-undist.
116	! th1 : first pot. temp. for vertical advection (=thx)
117	! th2 : second pot. temp. for vertical advection (=thw)
118	! q1 : first humidity for vertical advection
119	! q2 : second humidity for vertical advection
120	! d_deltatw : redistribution term for deltatw
121	! d_deltaqw : redistribution term for deltaqw
122	! deltatw0 : initial deltatw
123	! deltaqw0 : initial deltaqw
124	! hw0 : wake top hight (defined as the altitude at which deltatw=0)
125	! amflux : horizontal mass flux through wake boundary
126	! wdens_ref: initial number of wakes per unit area (3D) or per
127	! unit length (2D), at the beginning of each time step
128	! Tgw : 1 sur la periode de onde de gravite
129	! Cgw : vitesse de propagation de onde de gravite
130	! LL : distance between 2 wakes
131
132	! -------------------------------------------------------------------------
133	! Declaration de variables
134	! -------------------------------------------------------------------------
135
136
137	! Arguments en entree
138	! --------------------
139
140	INTEGER, INTENT(IN) :: klon,klev
141	INTEGER, DIMENSION (klon), INTENT(IN) :: znatsurf
142	REAL, DIMENSION (klon, klev), INTENT(IN) :: p, pi
143	REAL, DIMENSION (klon, klev+1), INTENT(IN) :: ph
144	REAL, DIMENSION (klon, klev), INTENT(IN) :: omgb
145	REAL, INTENT(IN) :: dtime
146	REAL, DIMENSION (klon, klev), INTENT(IN) :: tb0, qb0
147	REAL, DIMENSION (klon, klev), INTENT(IN) :: dtdwn, dqdwn
148	REAL, DIMENSION (klon, klev), INTENT(IN) :: amdwn, amup
149	REAL, DIMENSION (klon, klev), INTENT(IN) :: dta, dqa
150	REAL, DIMENSION (klon), INTENT(IN) :: wgen
151	REAL, DIMENSION (klon), INTENT(IN) :: sigd_con
152	REAL, DIMENSION (klon), INTENT(IN) :: Cin
153
154	!
155	! Input/Output
156	! State variables
157	REAL, DIMENSION (klon, klev), INTENT(INOUT) :: deltatw, deltaqw
158	REAL, DIMENSION (klon), INTENT(INOUT) :: sigmaw
159	REAL, DIMENSION (klon), INTENT(INOUT) :: asigmaw
160	REAL, DIMENSION (klon), INTENT(INOUT) :: wdens
161	REAL, DIMENSION (klon), INTENT(INOUT) :: awdens
162
163	! Sorties
164	! --------
165
166	REAL, DIMENSION (klon, klev), INTENT(OUT) :: dth
167	REAL, DIMENSION (klon, klev), INTENT(OUT) :: tx, qx
168	REAL, DIMENSION (klon, klev), INTENT(OUT) :: dtls, dqls
169	REAL, DIMENSION (klon, klev), INTENT(OUT) :: dtke, dqke
170	REAL, DIMENSION (klon, klev), INTENT(OUT) :: wkspread ! unused (jyg)
171	REAL, DIMENSION (klon, klev), INTENT(OUT) :: omgbdth, omg
172	REAL, DIMENSION (klon, klev), INTENT(OUT) :: dp_omgb, dp_deltomg
173	REAL, DIMENSION (klon), INTENT(OUT) :: hw, wape, fip, gfl, cstar
174	INTEGER, DIMENSION (klon), INTENT(OUT) :: ktopw
175	! Tendencies of state variables (2 is appended to the names of fields which are the cumul of fields
176	! computed at each sub-timestep; e.g. d_wdens2 is the cumul of d_wdens)
177	REAL, DIMENSION (klon, klev), INTENT(OUT) :: d_deltat_gw
178	REAL, DIMENSION (klon, klev), INTENT(OUT) :: d_deltatw2, d_deltaqw2
179	REAL, DIMENSION (klon), INTENT(OUT) :: d_sigmaw2, d_asigmaw2, d_wdens2, d_awdens2
180
181	! Variables internes
182	! -------------------
183
184	! Variables a fixer
185
186	REAL :: delta_t_min
187	INTEGER :: nsub
188	REAL :: dtimesub
189	REAL :: wdens0
190	! IM 080208
191	LOGICAL, DIMENSION (klon) :: gwake
192
193	! Variables de sauvegarde
194	REAL, DIMENSION (klon, klev) :: deltatw0
195	REAL, DIMENSION (klon, klev) :: deltaqw0
196	REAL, DIMENSION (klon, klev) :: tb, qb
197
198	! Variables liees a la dynamique de population 1
199	REAL, DIMENSION(klon) :: act
200	REAL, DIMENSION(klon) :: rad_wk, tau_wk_inv
201	REAL, DIMENSION(klon) :: f_shear
202	REAL, DIMENSION(klon) :: drdt
203
204	! Variables liees a la dynamique de population 2
205	REAL, DIMENSION(klon) :: cont_fact
206
207	! Variables liees a la dynamique de population 3
208	REAL, DIMENSION(klon) :: arad_wk, irad_wk
209
210	!! REAL, DIMENSION(klon) :: d_sig_gen, d_sig_death, d_sig_col
211	REAL, DIMENSION(klon) :: wape1_act, wape2_act
212	LOGICAL, DIMENSION (klon) :: kill_wake
213	REAL :: drdt_pos
214	REAL :: tau_wk_inv_min
215	! Some components of the tendencies of state variables
216	REAL, DIMENSION (klon) :: d_sig_gen2, d_sig_death2, d_sig_col2, d_sig_spread2, d_sig_bnd2
217	REAL, DIMENSION (klon) :: d_asig_death2, d_asig_aicol2, d_asig_iicol2, d_asig_spread2, d_asig_bnd2
218	REAL, DIMENSION (klon) :: d_dens_gen2, d_dens_death2, d_dens_col2, d_dens_bnd2
219	REAL, DIMENSION (klon) :: d_adens_death2, d_adens_icol2, d_adens_acol2, d_adens_bnd2
220
221	! Variables pour les GW
222	REAL, DIMENSION (klon) :: ll
223	REAL, DIMENSION (klon, klev) :: n2
224	REAL, DIMENSION (klon, klev) :: cgw
225	REAL, DIMENSION (klon, klev) :: tgw
226
227	! Variables liees au calcul de hw
228	REAL, DIMENSION (klon) :: ptop
229	REAL, DIMENSION (klon) :: sum_dth
230	REAL, DIMENSION (klon) :: dthmin
231	REAL, DIMENSION (klon) :: z, dz, hw0
232	INTEGER, DIMENSION (klon) :: ktop, kupper
233
234	! Variables liees au test de la forme triangulaire du profil de Delta_theta
235	REAL, DIMENSION (klon) :: sum_half_dth
236	REAL, DIMENSION (klon) :: dz_half
237
238	! Sub-timestep tendencies and related variables
239	REAL, DIMENSION (klon, klev) :: d_deltatw, d_deltaqw
240	REAL, DIMENSION (klon, klev) :: d_tb, d_qb
241	REAL, DIMENSION (klon) :: d_wdens, d_awdens, d_sigmaw, d_asigmaw
242	REAL, DIMENSION (klon) :: d_sig_gen, d_sig_death, d_sig_col, d_sig_spread, d_sig_bnd
243	REAL, DIMENSION (klon) :: d_asig_death, d_asig_aicol, d_asig_iicol, d_asig_spread, d_asig_bnd
244	REAL, DIMENSION (klon) :: d_dens_gen, d_dens_death, d_dens_col, d_dens_bnd
245	REAL, DIMENSION (klon) :: d_adens_death, d_adens_icol, d_adens_acol, d_adens_bnd
246	REAL, DIMENSION (klon) :: agfl !! gust front length of active wakes
247	!! per unit area
248	REAL, DIMENSION (klon) :: alpha, alpha_tot
249	REAL, DIMENSION (klon) :: q0_min, q1_min
250	LOGICAL, DIMENSION (klon) :: wk_adv, ok_qx_qw
251
252	! Autres variables internes
253	INTEGER ::isubstep, k, i, igout
254
255	REAL :: wdensmin
256
257	REAL :: sigmaw_targ
258	REAL :: wdens_targ
259	REAL :: d_sigmaw_targ
260	REAL :: d_wdens_targ
261
262	REAL, DIMENSION (klon) :: sum_thx, sum_tx, sum_qx, sum_thvx
263	REAL, DIMENSION (klon) :: sum_dq
264	REAL, DIMENSION (klon) :: sum_dtdwn, sum_dqdwn
265	REAL, DIMENSION (klon) :: av_thx, av_tx, av_qx, av_thvx
266	REAL, DIMENSION (klon) :: av_dth, av_dq
267	REAL, DIMENSION (klon) :: av_dtdwn, av_dqdwn
268
269	REAL, DIMENSION (klon, klev) :: rho
270	REAL, DIMENSION (klon, klev+1) :: rhoh
271	REAL, DIMENSION (klon, klev) :: zh
272	REAL, DIMENSION (klon, klev+1) :: zhh
273
274	REAL, DIMENSION (klon, klev) :: thb, thx
275
276	REAL, DIMENSION (klon, klev) :: omgbw
277	REAL, DIMENSION (klon) :: pupper
278	REAL, DIMENSION (klon) :: omgtop
279	REAL, DIMENSION (klon, klev) :: dp_omgbw
280	REAL, DIMENSION (klon) :: ztop, dztop
281	REAL, DIMENSION (klon, klev) :: alpha_up
282
283	REAL, DIMENSION (klon) :: rre1, rre2
284	REAL :: rrd1, rrd2
285	REAL, DIMENSION (klon, klev) :: th1, th2, q1, q2
286	REAL, DIMENSION (klon, klev) :: d_th1, d_th2, d_dth
287	REAL, DIMENSION (klon, klev) :: d_q1, d_q2, d_dq
288	REAL, DIMENSION (klon, klev) :: omgbdq
289
290	REAL, DIMENSION (klon) :: ff, gg
291	REAL, DIMENSION (klon) :: wape2, cstar2, heff
292
293	REAL, DIMENSION (klon, klev) :: crep
294
295	REAL, DIMENSION (klon, klev) :: ppi
296
297	! cc nrlmd
298	REAL, DIMENSION (klon) :: death_rate
299	!! REAL, DIMENSION (klon) :: nat_rate
300	REAL, DIMENSION (klon, klev) :: entr
301	REAL, DIMENSION (klon, klev) :: detr
302
303	REAL, DIMENSION(klon) :: sigmaw_in, asigmaw_in ! pour les prints
304	REAL, DIMENSION(klon) :: wdens_in, awdens_in ! pour les prints
305
306	!!! LOGICAL :: phys_sub=.true.
307	LOGICAL :: phys_sub=.false.
308
309	LOGICAL :: first_call=.true.
310
311
312	!!-- variables liees au nouveau calcul de ptop et hw
313	REAL, DIMENSION (klon, klev) :: int_dth
314	REAL, DIMENSION (klon, klev) :: zzz, dzzz
315	REAL :: epsil
316	REAL, DIMENSION (klon) :: ptop1
317	INTEGER, DIMENSION (klon) :: ktop1
318	REAL, DIMENSION (klon) :: omega
319	REAL, DIMENSION (klon) :: h_zzz
320
321	!print*,'WAKE LJYFo'
322
323	! -------------------------------------------------------------------------
324	! Initialisations
325	! -------------------------------------------------------------------------
326	! ALON = 3.e5
327	! alon = 1.E6
328
329	! Provisionnal; to be suppressed when f_shear is parameterized
330	f_shear(:) = 1. ! 0. for strong shear, 1. for weak shear
331
332	! Configuration de coefgw,stark,wdens (22/02/06 by YU Jingmei)
333
334	! coefgw : Coefficient pour les ondes de gravite
335	! stark : Coefficient k dans Cstar=ksqrt(2WAPE)
336	! wdens : Densite surfacique de poche froide
337	! -------------------------------------------------------------------------
338
339	! cc nrlmd coefgw=10
340	! coefgw=1
341	! wdens0 = 1.0/(alon**2)
342	! cc nrlmd wdens = 1.0/(alon**2)
343	! cc nrlmd stark = 0.50
344	! CRtest
345	! cc nrlmd alpk=0.1
346	! alpk = 1.0
347	! alpk = 0.5
348	! alpk = 0.05
349	!
350	igout = klon/2+1/klon
351	!
352	! sub-time-stepping parameters
353	nsub = 10
354	dtimesub = dtime/nsub
355	!
356	IF (first_call) THEN
357	!!#define IOPHYS_WK
358	#undef IOPHYS_WK
359	#ifdef IOPHYS_WK
360	IF (phys_sub) THEN
361	call iophys_ini(dtimesub)
362	ELSE
363	call iophys_ini(dtime)
364	ENDIF
365	#endif
366	first_call = .false.
367	ENDIF !(first_call)
368
369	IF (iflag_wk_pop_dyn == 0) THEN
370	! Initialisation de toutes des densites a wdens_ref.
371	! Les densites peuvent evoluer si les poches debordent
372	! (voir au tout debut de la boucle sur les substeps)
373	!jyg<
374	!! wdens(:) = wdens_ref
375	DO i = 1,klon
376	wdens(i) = wdens_ref(znatsurf(i)+1)
377	ENDDO
378	!>jyg
379	ENDIF ! (iflag_wk_pop_dyn == 0)
380	!
381	IF (iflag_wk_pop_dyn >=1) THEN
382	IF (iflag_wk_pop_dyn == 3) THEN
383	wdensmin = wdensthreshold
384	ELSE
385	wdensmin = wdensinit
386	ENDIF
387	ENDIF
388
389	! print*,'stark',stark
390	! print*,'alpk',alpk
391	! print*,'wdens',wdens
392	! print*,'coefgw',coefgw
393	! cc
394	! Minimum value for \|T_wake - T_undist\|. Used for wake top definition
395	! -------------------------------------------------------------------------
396
397	delta_t_min = 0.2
398	! delta_t_min = 0.001
399
400	! 1. - Save initial values, initialize tendencies, initialize output fields
401	! ------------------------------------------------------------------------
402
403	!jyg<
404	!! DO k = 1, klev
405	!! DO i = 1, klon
406	!! ppi(i, k) = pi(i, k)
407	!! deltatw0(i, k) = deltatw(i, k)
408	!! deltaqw0(i, k) = deltaqw(i, k)
409	!! tb(i, k) = tb0(i, k)
410	!! qb(i, k) = qb0(i, k)
411	!! dtls(i, k) = 0.
412	!! dqls(i, k) = 0.
413	!! d_deltat_gw(i, k) = 0.
414	!! d_tb(i, k) = 0.
415	!! d_qb(i, k) = 0.
416	!! d_deltatw(i, k) = 0.
417	!! d_deltaqw(i, k) = 0.
418	!! ! IM 060508 beg
419	!! d_deltatw2(i, k) = 0.
420	!! d_deltaqw2(i, k) = 0.
421	!! ! IM 060508 end
422	!! END DO
423	!! END DO
424	ppi(:,:) = pi(:,:)
425	deltatw0(:,:) = deltatw(:,:)
426	deltaqw0(:,:) = deltaqw(:,:)
427	tb(:,:) = tb0(:,:)
428	qb(:,:) = qb0(:,:)
429	dtls(:,:) = 0.
430	dqls(:,:) = 0.
431	d_deltat_gw(:,:) = 0.
432	d_tb(:,:) = 0.
433	d_qb(:,:) = 0.
434	d_deltatw(:,:) = 0.
435	d_deltaqw(:,:) = 0.
436	d_deltatw2(:,:) = 0.
437	d_deltaqw2(:,:) = 0.
438
439	d_sig_gen2(:) = 0.
440	d_sig_death2(:) = 0.
441	d_sig_col2(:) = 0.
442	d_sig_spread2(:)= 0.
443	d_asig_death2(:) = 0.
444	d_asig_iicol2(:) = 0.
445	d_asig_aicol2(:) = 0.
446	d_asig_spread2(:)= 0.
447	d_asig_bnd2(:) = 0.
448	d_asigmaw2(:) = 0.
449	!
450	d_dens_gen2(:) = 0.
451	d_dens_death2(:) = 0.
452	d_dens_col2(:) = 0.
453	d_dens_bnd2(:) = 0.
454	d_wdens2(:) = 0.
455	d_adens_bnd2(:) = 0.
456	d_awdens2(:) = 0.
457	d_adens_death2(:) = 0.
458	d_adens_icol2(:) = 0.
459	d_adens_acol2(:) = 0.
460
461	IF (iflag_wk_act == 0) THEN
462	act(:) = 0.
463	ELSEIF (iflag_wk_act == 1) THEN
464	act(:) = 1.
465	ENDIF
466
467	!! DO i = 1, klon
468	!! sigmaw_in(i) = sigmaw(i)
469	!! END DO
470	sigmaw_in(:) = sigmaw(:)
471	asigmaw_in(:) = asigmaw(:)
472	!>jyg
473	!
474	IF (iflag_wk_pop_dyn >= 1) THEN
475	awdens_in(:) = awdens(:)
476	wdens_in(:) = wdens(:)
477	!! wdens(:) = wdens(:) + wgen(:)*dtime
478	!! d_wdens2(:) = wgen(:)*dtime
479	!! ELSE
480	ENDIF ! (iflag_wk_pop_dyn >= 1)
481
482
483	! sigmaw1=sigmaw
484	! IF (sigd_con.GT.sigmaw1) THEN
485	! print*, 'sigmaw,sigd_con', sigmaw, sigd_con
486	! ENDIF
487	IF (iflag_wk_pop_dyn >= 1) THEN
488	DO i = 1, klon
489	d_dens_gen2(i) = 0.
490	d_dens_death2(i) = 0.
491	d_dens_col2(i) = 0.
492	d_awdens2(i) = 0.
493	IF (wdens(i) < wdensthreshold) THEN
494	!! wdens_targ = max(wdens(i),wdensmin)
495	wdens_targ = max(wdens(i),wdensinit)
496	d_dens_bnd2(i) = wdens_targ - wdens(i)
497	d_wdens2(i) = wdens_targ - wdens(i)
498	wdens(i) = wdens_targ
499	ELSE
500	d_dens_bnd2(i) = 0.
501	d_wdens2(i) = 0.
502	ENDIF !! (wdens(i) < wdensthreshold)
503	END DO
504	IF (iflag_wk_pop_dyn >= 2) THEN
505	DO i = 1, klon
506	IF (awdens(i) < wdensthreshold) THEN
507	!! wdens_targ = min(max(awdens(i),wdensmin),wdens(i))
508	wdens_targ = min(max(awdens(i),wdensinit),wdens(i))
509	d_adens_bnd2(i) = wdens_targ - awdens(i)
510	d_awdens2(i) = wdens_targ - awdens(i)
511	awdens(i) = wdens_targ
512	ELSE
513	wdens_targ = min(awdens(i), wdens(i))
514	d_adens_bnd2(i) = wdens_targ - awdens(i)
515	d_awdens2(i) = wdens_targ - awdens(i)
516	awdens(i) = wdens_targ
517	ENDIF
518	END DO
519	ENDIF ! (iflag_wk_pop_dyn >= 2)
520	ELSE
521	DO i = 1, klon
522	d_awdens2(i) = 0.
523	d_wdens2(i) = 0.
524	END DO
525	ENDIF ! (iflag_wk_pop_dyn >= 1)
526	!
527	DO i = 1, klon
528	sigmaw_targ = min(max(sigmaw(i), sigmad),0.99)
529	d_sig_bnd2(i) = sigmaw_targ - sigmaw(i)
530	d_sigmaw2(i) = sigmaw_targ - sigmaw(i)
531	sigmaw(i) = sigmaw_targ
532	END DO
533	!
534	IF (iflag_wk_pop_dyn == 3) THEN
535	DO i = 1, klon
536	IF ((wdens(i)-awdens(i)) <= smallestreal) THEN
537	sigmaw_targ = sigmaw(i)
538	ELSE
539	sigmaw_targ = min(max(asigmaw(i),sigmad),sigmaw(i))
540	ENDIF
541	d_asig_bnd2(i) = sigmaw_targ - asigmaw(i)
542	d_asigmaw2(i) = sigmaw_targ - asigmaw(i)
543	asigmaw(i) = sigmaw_targ
544	END DO
545	ENDIF ! (iflag_wk_pop_dyn == 3)
546
547	wape(:) = 0.
548	wape2(:) = 0.
549	d_sigmaw(:) = 0.
550	d_asigmaw(:) = 0.
551	ktopw(:) = 0
552	!
553	!<jyg
554	dth(:,:) = 0.
555	tx(:,:) = 0.
556	qx(:,:) = 0.
557	dtke(:,:) = 0.
558	dqke(:,:) = 0.
559	wkspread(:,:) = 0.
560	omgbdth(:,:) = 0.
561	omg(:,:) = 0.
562	dp_omgb(:,:) = 0.
563	dp_deltomg(:,:) = 0.
564	hw(:) = 0.
565	wape(:) = 0.
566	fip(:) = 0.
567	gfl(:) = 0.
568	cstar(:) = 0.
569	ktopw(:) = 0
570	!
571	! Vertical advection local variables
572	omgbw(:,:) = 0.
573	omgtop(:) = 0
574	dp_omgbw(:,:) = 0.
575	omgbdq(:,:) = 0.
576
577	!>jyg
578	!
579	IF (prt_level>=10) THEN
580	PRINT *, 'wake-1, sigmaw(igout) ', sigmaw(igout)
581	PRINT *, 'wake-1, deltatw(igout,k) ', (k,deltatw(igout,k), k=1,klev)
582	PRINT *, 'wake-1, deltaqw(igout,k) ', (k,deltaqw(igout,k), k=1,klev)
583	PRINT *, 'wake-1, dowwdraughts, amdwn(igout,k) ', (k,amdwn(igout,k), k=1,klev)
584	PRINT *, 'wake-1, dowwdraughts, dtdwn(igout,k) ', (k,dtdwn(igout,k), k=1,klev)
585	PRINT *, 'wake-1, dowwdraughts, dqdwn(igout,k) ', (k,dqdwn(igout,k), k=1,klev)
586	PRINT *, 'wake-1, updraughts, amup(igout,k) ', (k,amup(igout,k), k=1,klev)
587	PRINT *, 'wake-1, updraughts, dta(igout,k) ', (k,dta(igout,k), k=1,klev)
588	PRINT *, 'wake-1, updraughts, dqa(igout,k) ', (k,dqa(igout,k), k=1,klev)
589	ENDIF
590
591	! 2. - Prognostic part
592	! --------------------
593
594
595	! 2.1 - Undisturbed area and Wake integrals
596	! ---------------------------------------------------------
597
598	DO i = 1, klon
599	z(i) = 0.
600	ktop(i) = 0
601	kupper(i) = 0
602	sum_thx(i) = 0.
603	sum_tx(i) = 0.
604	sum_qx(i) = 0.
605	sum_thvx(i) = 0.
606	sum_dth(i) = 0.
607	sum_dq(i) = 0.
608	sum_dtdwn(i) = 0.
609	sum_dqdwn(i) = 0.
610
611	av_thx(i) = 0.
612	av_tx(i) = 0.
613	av_qx(i) = 0.
614	av_thvx(i) = 0.
615	av_dth(i) = 0.
616	av_dq(i) = 0.
617	av_dtdwn(i) = 0.
618	av_dqdwn(i) = 0.
619	END DO
620
621	! Distance between wakes
622	DO i = 1, klon
623	ll(i) = (1-sqrt(sigmaw(i)))/sqrt(wdens(i))
624	END DO
625	! Potential temperatures and humidity
626	! ----------------------------------------------------------
627	DO k = 1, klev
628	DO i = 1, klon
629	! write(,)'wake 1',i,k,RD,tb(i,k)
630	rho(i, k) = p(i, k)/(RD*tb(i,k))
631	! write(,)'wake 2',rho(i,k)
632	IF (k==1) THEN
633	! write(,)'wake 3',i,k,rd,tb(i,k)
634	rhoh(i, k) = ph(i, k)/(RD*tb(i,k))
635	! write(,)'wake 4',i,k,rd,tb(i,k)
636	zhh(i, k) = 0
637	ELSE
638	! write(,)'wake 5',rd,(tb(i,k)+tb(i,k-1))
639	rhoh(i, k) = ph(i, k)2./(RD(tb(i,k)+tb(i,k-1)))
640	! write(,)'wake 6',(-rhoh(i,k)*RG)+zhh(i,k-1)
641	zhh(i, k) = (ph(i,k)-ph(i,k-1))/(-rhoh(i,k)*RG) + zhh(i, k-1)
642	END IF
643	! write(,)'wake 7',ppi(i,k)
644	thb(i, k) = tb(i, k)/ppi(i, k)
645	thx(i, k) = (tb(i,k)-deltatw(i,k)*sigmaw(i))/ppi(i, k)
646	tx(i, k) = tb(i, k) - deltatw(i, k)*sigmaw(i)
647	qx(i, k) = qb(i, k) - deltaqw(i, k)*sigmaw(i)
648	! write(,)'wake 8',(RD*(tb(i,k)+deltatw(i,k)))
649	dth(i, k) = deltatw(i, k)/ppi(i, k)
650	END DO
651	END DO
652
653	DO k = 1, klev - 1
654	DO i = 1, klon
655	IF (k==1) THEN
656	n2(i, k) = 0
657	ELSE
658	n2(i, k) = amax1(0., -RG*2/thb(i,k)rho(i,k)*(thb(i,k+1)-thb(i,k-1))/ &
659	(p(i,k+1)-p(i,k-1)))
660	END IF
661	zh(i, k) = (zhh(i,k)+zhh(i,k+1))/2
662
663	cgw(i, k) = sqrt(n2(i,k))*zh(i, k)
664	tgw(i, k) = coefgw*cgw(i, k)/ll(i)
665	END DO
666	END DO
667
668	DO i = 1, klon
669	n2(i, klev) = 0
670	zh(i, klev) = 0
671	cgw(i, klev) = 0
672	tgw(i, klev) = 0
673	END DO
674
675
676	! Choose an integration bound well above wake top
677	! -----------------------------------------------------------------
678
679	! Determine Wake top pressure (Ptop) from buoyancy integral
680	! --------------------------------------------------------
681
682	Do i=1, klon
683	wk_adv(i) = .True.
684	Enddo
685	Call pkupper (klon, klev, ptop, ph, p, pupper, kupper, &
686	dth, hw0, rho, delta_t_min, &
687	ktop, wk_adv, h_zzz, ptop1, ktop1)
688
689	IF (prt_level>=10) THEN
690	PRINT *, 'wake-3, ktop(igout), kupper(igout) ', ktop(igout), kupper(igout)
691	ENDIF
692
693	! -5/ Set deltatw & deltaqw to 0 above kupper
694
695	DO k = 1, klev
696	DO i = 1, klon
697	IF (k>=kupper(i)) THEN
698	deltatw(i, k) = 0.
699	deltaqw(i, k) = 0.
700	d_deltatw2(i,k) = -deltatw0(i,k)
701	d_deltaqw2(i,k) = -deltaqw0(i,k)
702	END IF
703	END DO
704	END DO
705
706
707	! Vertical gradient of LS omega
708
709	DO k = 1, klev
710	DO i = 1, klon
711	IF (k<=kupper(i)) THEN
712	dp_omgb(i, k) = (omgb(i,k+1)-omgb(i,k))/(ph(i,k+1)-ph(i,k))
713	END IF
714	END DO
715	END DO
716
717	! Integrals (and wake top level number)
718	! --------------------------------------
719
720	! Initialize sum_thvx to 1st level virt. pot. temp.
721
722	DO i = 1, klon
723	z(i) = 1.
724	dz(i) = 1.
725	sum_thvx(i) = thx(i, 1)(1.+epsim1qx(i,1))*dz(i)
726	sum_dth(i) = 0.
727	END DO
728
729	DO k = 1, klev
730	DO i = 1, klon
731	dz(i) = -(amax1(ph(i,k+1),ptop(i))-ph(i,k))/(rho(i,k)*RG)
732	IF (dz(i)>0) THEN
733	! LJYF : ecriture pas sympa avec un tableau z(i) qui n'est pas utilise come tableau
734	z(i) = z(i) + dz(i)
735	sum_thx(i) = sum_thx(i) + thx(i, k)*dz(i)
736	sum_tx(i) = sum_tx(i) + tx(i, k)*dz(i)
737	sum_qx(i) = sum_qx(i) + qx(i, k)*dz(i)
738	sum_thvx(i) = sum_thvx(i) + thx(i, k)(1.+epsim1qx(i,k))*dz(i)
739	sum_dth(i) = sum_dth(i) + dth(i, k)*dz(i)
740	sum_dq(i) = sum_dq(i) + deltaqw(i, k)*dz(i)
741	sum_dtdwn(i) = sum_dtdwn(i) + dtdwn(i, k)*dz(i)
742	sum_dqdwn(i) = sum_dqdwn(i) + dqdwn(i, k)*dz(i)
743	END IF
744	END DO
745	END DO
746
747	DO i = 1, klon
748	hw0(i) = z(i)
749	END DO
750
751
752	! 2.1 - WAPE and mean forcing computation
753	! ---------------------------------------
754
755	! ---------------------------------------
756
757	! Means
758
759	DO i = 1, klon
760	av_thx(i) = sum_thx(i)/hw0(i)
761	av_tx(i) = sum_tx(i)/hw0(i)
762	av_qx(i) = sum_qx(i)/hw0(i)
763	av_thvx(i) = sum_thvx(i)/hw0(i)
764	! av_thve = sum_thve/hw0
765	av_dth(i) = sum_dth(i)/hw0(i)
766	av_dq(i) = sum_dq(i)/hw0(i)
767	av_dtdwn(i) = sum_dtdwn(i)/hw0(i)
768	av_dqdwn(i) = sum_dqdwn(i)/hw0(i)
769
770	wape(i) = -RGhw0(i)(av_dth(i)+ &
771	epsim1(av_thx(i)av_dq(i)+av_dth(i)av_qx(i)+av_dth(i)av_dq(i)))/av_thvx(i)
772
773	END DO
774	#ifdef IOPHYS_WK
775	IF (.not.phys_sub) CALL iophys_ecrit('wape_a',1,'wape_a','J/kg',wape)
776	#endif
777
778	! 2.2 Prognostic variable update
779	! ------------------------------
780
781	! Filter out bad wakes
782
783	DO k = 1, klev
784	DO i = 1, klon
785	IF (wape(i)<0.) THEN
786	deltatw(i, k) = 0.
787	deltaqw(i, k) = 0.
788	dth(i, k) = 0.
789	d_deltatw2(i,k) = -deltatw0(i,k)
790	d_deltaqw2(i,k) = -deltaqw0(i,k)
791	END IF
792	END DO
793	END DO
794
795	DO i = 1, klon
796	IF (wape(i)<0.) THEN
797	!! sigmaw(i) = amax1(sigmad, sigd_con(i))
798	sigmaw_targ = max(sigmad, sigd_con(i))
799	d_sig_bnd2(i) = d_sig_bnd2(i) + sigmaw_targ - sigmaw(i)
800	d_sigmaw2(i) = d_sigmaw2(i) + sigmaw_targ - sigmaw(i)
801	sigmaw(i) = sigmaw_targ
802	ENDIF !! (wape(i)<0.)
803	ENDDO
804	!
805	IF (iflag_wk_pop_dyn == 3) THEN
806	DO i = 1, klon
807	IF (wape(i)<0.) THEN
808	sigmaw_targ = max(sigmad, sigd_con(i))
809	d_asig_bnd2(i) = d_asig_bnd2(i) + sigmaw_targ - asigmaw(i)
810	d_asigmaw2(i) = d_asigmaw2(i) + sigmaw_targ - asigmaw(i)
811	asigmaw(i) = sigmaw_targ
812	ENDIF !! (wape(i)<0.)
813	ENDDO
814	ENDIF !! (iflag_wk_pop_dyn == 3)
815
816	DO i = 1, klon
817	IF (wape(i)<0.) THEN
818	wape(i) = 0.
819	cstar(i) = 0.
820	hw(i) = hwmin
821	fip(i) = 0.
822	gwake(i) = .FALSE.
823	ELSE
824	hw(i) = hw0(i)
825	cstar(i) = starksqrt(2.wape(i))
826	gwake(i) = .TRUE.
827	END IF
828	END DO
829	!
830
831	! Check qx and qw positivity
832	! --------------------------
833	DO i = 1, klon
834	q0_min(i) = min((qb(i,1)-sigmaw(i)*deltaqw(i,1)), &
835	(qb(i,1)+(1.-sigmaw(i))*deltaqw(i,1)))
836	END DO
837	DO k = 2, klev
838	DO i = 1, klon
839	q1_min(i) = min((qb(i,k)-sigmaw(i)*deltaqw(i,k)), &
840	(qb(i,k)+(1.-sigmaw(i))*deltaqw(i,k)))
841	IF (q1_min(i)<=q0_min(i)) THEN
842	q0_min(i) = q1_min(i)
843	END IF
844	END DO
845	END DO
846
847	DO i = 1, klon
848	ok_qx_qw(i) = q0_min(i) >= 0.
849	alpha(i) = 1.
850	alpha_tot(i) = 1.
851	END DO
852
853	IF (prt_level>=10) THEN
854	PRINT *, 'wake-4, sigmaw(igout), cstar(igout), wape(igout), ktop(igout) ', &
855	sigmaw(igout), cstar(igout), wape(igout), ktop(igout)
856	ENDIF
857
858
859	! C -----------------------------------------------------------------
860	! Sub-time-stepping
861	! -----------------
862
863	! nsub and dtimesub definitions moved to begining of routine.
864	!! nsub = 10
865	!! dtimesub = dtime/nsub
866
867
868	! ------------------------------------------------------------------------
869	! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
870	! ------------------------------------------------------------------------
871	!
872	DO isubstep = 1, nsub
873	!
874	! ------------------------------------------------------------------------
875	! wk_adv is the logical flag enabling wake evolution in the time advance
876	! loop
877	DO i = 1, klon
878	wk_adv(i) = ok_qx_qw(i) .AND. alpha(i) >= 1.
879	END DO
880	IF (prt_level>=10) THEN
881	PRINT *, 'wake-4.1, isubstep,wk_adv(igout),cstar(igout),wape(igout), ptop(igout) ', &
882	isubstep,wk_adv(igout),cstar(igout),wape(igout), ptop(igout)
883
884	ENDIF
885
886	! cc nrlmd Ajout d'un recalcul de wdens dans le cas d'un entrainement
887	! negatif de ktop a kupper --------
888	! cc On calcule pour cela une densite wdens0 pour laquelle on
889	! aurait un entrainement nul ---
890	!jyg<
891	! Dans la configuration avec wdens prognostique, il s'agit d'un cas ou
892	! les poches sont insuffisantes pour accueillir tout le flux de masse
893	! des descentes unsaturees. Nous faisons alors l'hypothese que la
894	! convection profonde cree directement de nouvelles poches, sans passer
895	! par les thermiques. La nouvelle valeur de wdens est alors imposee.
896
897	DO i = 1, klon
898	! c print *,' isubstep,wk_adv(i),cstar(i),wape(i) ',
899	! c $ isubstep,wk_adv(i),cstar(i),wape(i)
900	IF (wk_adv(i) .AND. cstar(i)>0.01) THEN
901	IF ( iflag_wk_profile == 0 ) THEN
902	omg(i, kupper(i)+1)=-RG*amdwn(i, kupper(i)+1)/sigmaw(i) + &
903	RG*amup(i, kupper(i)+1)/(1.-sigmaw(i))
904	ELSE
905	omg(i, kupper(i)+1)=0.
906	ENDIF
907	wdens0 = (sigmaw(i)/(4.3.14)) &
908	((1.-sigmaw(i))omg(i,kupper(i)+1)/((ph(i,1)-pupper(i))cstar(i)))**(2)
909	IF (prt_level >= 10) THEN
910	print*,'omg(i,kupper(i)+1),wdens0,wdens(i),cstar(i), ph(i,1)-pupper(i)', &
911	omg(i,kupper(i)+1),wdens0,wdens(i),cstar(i), ph(i,1)-pupper(i)
912	ENDIF
913	IF (wdens(i)<=wdens0*1.1) THEN
914	IF (iflag_wk_pop_dyn >= 1) THEN
915	d_dens_bnd2(i) = d_dens_bnd2(i) + wdens0 - wdens(i)
916	d_wdens2(i) = d_wdens2(i) + wdens0 - wdens(i)
917	ENDIF
918	wdens(i) = wdens0
919	END IF
920	END IF
921	END DO
922
923	IF (iflag_wk_pop_dyn == 0 .AND. ok_bug_gfl) THEN
924	!!--------------------------------------------------------
925	!!Bug : computing gfl and rad_wk before changing sigmaw
926	!! This bug exists only for iflag_wk_pop_dyn=0. Otherwise, gfl and rad_wk
927	!! are computed within wake_popdyn
928	!!--------------------------------------------------------
929	DO i = 1, klon
930	IF (wk_adv(i)) THEN
931	gfl(i) = 2.sqrt(3.14wdens(i)*sigmaw(i))
932	rad_wk(i) = sqrt(sigmaw(i)/(3.14*wdens(i)))
933	END IF
934	END DO
935	ENDIF ! (iflag_wk_pop_dyn == 0 .AND. ok_bug_gfl)
936	!!--------------------------------------------------------
937
938	DO i = 1, klon
939	IF (wk_adv(i)) THEN
940	sigmaw_targ = min(sigmaw(i), sigmaw_max)
941	d_sig_bnd2(i) = d_sig_bnd2(i) + sigmaw_targ - sigmaw(i)
942	d_sigmaw2(i) = d_sigmaw2(i) + sigmaw_targ - sigmaw(i)
943	sigmaw(i) = sigmaw_targ
944	END IF
945	END DO
946
947	IF (iflag_wk_pop_dyn == 0 .AND. .NOT.ok_bug_gfl) THEN
948	!!--------------------------------------------------------
949	!!Fix : computing gfl and rad_wk after changing sigmaw
950	!!--------------------------------------------------------
951	DO i = 1, klon
952	IF (wk_adv(i)) THEN
953	gfl(i) = 2.sqrt(3.14wdens(i)*sigmaw(i))
954	rad_wk(i) = sqrt(sigmaw(i)/(3.14*wdens(i)))
955	END IF
956	END DO
957	ENDIF ! (iflag_wk_pop_dyn == 0 .AND. .NOT.ok_bug_gfl)
958	!!--------------------------------------------------------
959
960	IF (iflag_wk_pop_dyn >= 1) THEN
961	! The variable "death_rate" is significant only when iflag_wk_pop_dyn = 0.
962	! Here, it has to be set to zero.
963	death_rate(:) = 0.
964	ENDIF
965
966	IF (iflag_wk_pop_dyn >= 3) THEN
967	DO i = 1, klon
968	IF (wk_adv(i)) THEN
969	sigmaw_targ = min(asigmaw(i), sigmaw_max)
970	d_asig_bnd2(i) = d_asig_bnd2(i) + sigmaw_targ - asigmaw(i)
971	d_asigmaw2(i) = d_asigmaw2(i) + sigmaw_targ - asigmaw(i)
972	asigmaw(i) = sigmaw_targ
973	ENDIF
974	ENDDO
975	ENDIF
976
977	!!--------------------------------------------------------
978	!!--------------------------------------------------------
979	IF (iflag_wk_pop_dyn == 1) THEN
980	!
981	CALL wake_popdyn_1 (klon, klev, dtime, cstar, tau_wk_inv, wgen, wdens, awdens, sigmaw, &
982	wdensmin, &
983	dtimesub, gfl, rad_wk, f_shear, drdt_pos, &
984	d_awdens, d_wdens, d_sigmaw, &
985	iflag_wk_act, wk_adv, cin, wape, &
986	drdt, &
987	d_dens_gen, d_dens_death, d_dens_col, d_dens_bnd, &
988	d_sig_gen, d_sig_death, d_sig_col, d_sig_spread, d_sig_bnd, &
989	d_wdens_targ, d_sigmaw_targ)
990
991
992	!!--------------------------------------------------------
993	ELSEIF (iflag_wk_pop_dyn == 2) THEN
994	!
995	CALL wake_popdyn_2 ( klon, klev, wk_adv, dtimesub, wgen, &
996	wdensmin, &
997	sigmaw, wdens, awdens, & !! state variables
998	gfl, cstar, cin, wape, rad_wk, &
999	d_sigmaw, d_wdens, d_awdens, & !! tendencies
1000	cont_fact, &
1001	d_sig_gen, d_sig_death, d_sig_col, d_sig_spread, d_sig_bnd, &
1002	d_dens_gen, d_dens_death, d_dens_col, d_dens_bnd, &
1003	d_adens_death, d_adens_icol, d_adens_acol, d_adens_bnd )
1004	sigmaw=sigmaw-d_sigmaw
1005	wdens=wdens-d_wdens
1006	awdens=awdens-d_awdens
1007
1008	!!--------------------------------------------------------
1009	ELSEIF (iflag_wk_pop_dyn == 3) THEN
1010	#ifdef IOPHYS_WK
1011	IF (phys_sub) THEN
1012	CALL iophys_ecrit('ptop',1,'ptop','Pa',ptop)
1013	CALL iophys_ecrit('sigmaw',1,'sigmaw','',sigmaw)
1014	CALL iophys_ecrit('asigmaw',1,'asigmaw','',asigmaw)
1015	CALL iophys_ecrit('wdens',1,'wdens','1/m2',wdens)
1016	CALL iophys_ecrit('awdens',1,'awdens','1/m2',awdens)
1017	CALL iophys_ecrit('rad_wk',1,'rad_wk','m',rad_wk)
1018	CALL iophys_ecrit('arad_wk',1,'arad_wk','m',arad_wk)
1019	CALL iophys_ecrit('irad_wk',1,'irad_wk','m',irad_wk)
1020	ENDIF
1021	#endif
1022	!
1023	CALL wake_popdyn_3 ( klon, klev, phys_sub, wk_adv, dtimesub, wgen, &
1024	wdensmin, &
1025	sigmaw, asigmaw, wdens, awdens, & !! state variables
1026	gfl, agfl, cstar, cin, wape, &
1027	rad_wk, arad_wk, irad_wk, &
1028	d_sigmaw, d_asigmaw, d_wdens, d_awdens, & !! tendencies
1029	d_sig_gen, d_sig_death, d_sig_col, d_sig_spread, d_sig_bnd, &
1030	d_asig_death, d_asig_aicol, d_asig_iicol, d_asig_spread, d_asig_bnd, &
1031	d_dens_gen, d_dens_death, d_dens_col, d_dens_bnd, &
1032	d_adens_death, d_adens_icol, d_adens_acol, d_adens_bnd )
1033	sigmaw=sigmaw-d_sigmaw
1034	asigmaw=asigmaw-d_asigmaw
1035	wdens=wdens-d_wdens
1036	awdens=awdens-d_awdens
1037
1038	!!--------------------------------------------------------
1039	ELSEIF (iflag_wk_pop_dyn == 0) THEN
1040
1041	! cc nrlmd
1042
1043	DO i = 1, klon
1044	IF (wk_adv(i)) THEN
1045
1046	! cc nrlmd Introduction du taux de mortalite des poches et
1047	! test sur sigmaw_max=0.4
1048	! cc d_sigmaw(i) = gfl(i)Cstar(i)dtimesub
1049	IF (sigmaw(i)>=sigmaw_max) THEN
1050	death_rate(i) = gfl(i)*cstar(i)/sigmaw(i)
1051	ELSE
1052	death_rate(i) = 0.
1053	END IF
1054
1055	d_sigmaw(i) = gfl(i)cstar(i)dtimesub - death_rate(i)sigmaw(i) &
1056	dtimesub
1057	! $ - nat_rate(i)sigmaw(i)dtimesub
1058	! c print*, 'd_sigmaw(i),sigmaw(i),gfl(i),Cstar(i),wape(i),
1059	! c $ death_rate(i),ktop(i),kupper(i)',
1060	! c $ d_sigmaw(i),sigmaw(i),gfl(i),Cstar(i),wape(i),
1061	! c $ death_rate(i),ktop(i),kupper(i)
1062
1063	! sigmaw(i) =sigmaw(i) + gfl(i)Cstar(i)dtimesub
1064	! sigmaw(i) =min(sigmaw(i),0.99) !!!!!!!!
1065	! wdens = wdens0/(10.*sigmaw)
1066	! sigmaw =max(sigmaw,sigd_con)
1067	! sigmaw =max(sigmaw,sigmad)
1068	END IF
1069	END DO
1070
1071	ENDIF ! (iflag_wk_pop_dyn == 1) ... ELSEIF (iflag_wk_pop_dyn == 0)
1072	!!--------------------------------------------------------
1073	!!--------------------------------------------------------
1074
1075	#ifdef IOPHYS_WK
1076	IF (phys_sub) THEN
1077	CALL iophys_ecrit('wdensa',1,'wdensa','m',wdens)
1078	CALL iophys_ecrit('awdensa',1,'awdensa','m',awdens)
1079	CALL iophys_ecrit('sigmawa',1,'sigmawa','m',sigmaw)
1080	CALL iophys_ecrit('asigmawa',1,'asigmawa','m',asigmaw)
1081	ENDIF
1082	#endif
1083	! calcul de la difference de vitesse verticale poche - zone non perturbee
1084	! IM 060208 differences par rapport au code initial; init. a 0 dp_deltomg
1085	! IM 060208 et omg sur les niveaux de 1 a klev+1, alors que avant l'on definit
1086	! IM 060208 au niveau k=1...
1087	!JYG 161013 Correction : maintenant omg est dimensionne a klev.
1088	DO k = 1, klev
1089	DO i = 1, klon
1090	IF (wk_adv(i)) THEN !!! nrlmd
1091	dp_deltomg(i, k) = 0.
1092	END IF
1093	END DO
1094	END DO
1095	DO k = 1, klev
1096	DO i = 1, klon
1097	IF (wk_adv(i)) THEN !!! nrlmd
1098	omg(i, k) = 0.
1099	END IF
1100	END DO
1101	END DO
1102
1103	DO i = 1, klon
1104	IF (wk_adv(i)) THEN
1105	z(i) = 0.
1106	omg(i, 1) = 0.
1107	dp_deltomg(i, 1) = -(gfl(i)cstar(i))/(sigmaw(i)(1-sigmaw(i)))
1108	END IF
1109	END DO
1110
1111	DO k = 2, klev
1112	DO i = 1, klon
1113	IF (wk_adv(i) .AND. k<=ktop(i)) THEN
1114	dz(i) = -(ph(i,k)-ph(i,k-1))/(rho(i,k-1)*RG)
1115	z(i) = z(i) + dz(i)
1116	dp_deltomg(i, k) = dp_deltomg(i, 1)
1117	omg(i, k) = dp_deltomg(i, 1)*z(i)
1118	END IF
1119	END DO
1120	END DO
1121
1122	DO i = 1, klon
1123	IF (wk_adv(i)) THEN
1124	dztop(i) = -(ptop(i)-ph(i,ktop(i)))/(rho(i,ktop(i))*RG)
1125	ztop(i) = z(i) + dztop(i)
1126	omgtop(i) = dp_deltomg(i, 1)*ztop(i)
1127	END IF
1128	END DO
1129
1130	IF (prt_level>=10) THEN
1131	PRINT *, 'wake-4.2, omg(igout,k) ', (k,omg(igout,k), k=1,klev)
1132	PRINT *, 'wake-4.2, omgtop(igout), ptop(igout), ktop(igout) ', &
1133	omgtop(igout), ptop(igout), ktop(igout)
1134	ENDIF
1135
1136	! -----------------
1137	! From m/s to Pa/s
1138	! -----------------
1139
1140	DO i = 1, klon
1141	IF (wk_adv(i)) THEN
1142	omgtop(i) = -rho(i, ktop(i))RGomgtop(i)
1143	!! LJYF dp_deltomg(i, 1) = omgtop(i)/(ptop(i)-ph(i,1))
1144	dp_deltomg(i, 1) = omgtop(i)/min(ptop(i)-ph(i,1),-smallestreal)
1145	END IF
1146	END DO
1147
1148	DO k = 1, klev
1149	DO i = 1, klon
1150	IF (wk_adv(i) .AND. k<=ktop(i)) THEN
1151	omg(i, k) = -rho(i, k)RGomg(i, k)
1152	dp_deltomg(i, k) = dp_deltomg(i, 1)
1153	END IF
1154	END DO
1155	END DO
1156
1157	! raccordement lineaire de omg de ptop a pupper
1158
1159	DO i = 1, klon
1160	IF (wk_adv(i) .AND. kupper(i)>ktop(i)) THEN
1161	IF ( iflag_wk_profile == 0 ) THEN
1162	omg(i, kupper(i)+1) =-RG*amdwn(i, kupper(i)+1)/sigmaw(i) + &
1163	RG*amup(i, kupper(i)+1)/(1.-sigmaw(i))
1164	ELSE
1165	omg(i, kupper(i)+1) = 0.
1166	ENDIF
1167	dp_deltomg(i, kupper(i)) = (omgtop(i)-omg(i,kupper(i)+1))/ &
1168	(ptop(i)-pupper(i))
1169	END IF
1170	END DO
1171
1172	! c DO i=1,klon
1173	! c print*,'Pente entre 0 et kupper (reference)'
1174	! c $ ,omg(i,kupper(i)+1)/(pupper(i)-ph(i,1))
1175	! c print*,'Pente entre ktop et kupper'
1176	! c $ ,(omg(i,kupper(i)+1)-omgtop(i))/(pupper(i)-ptop(i))
1177	! c ENDDO
1178	! c
1179	DO k = 1, klev
1180	DO i = 1, klon
1181	IF (wk_adv(i) .AND. k>ktop(i) .AND. k<=kupper(i)) THEN
1182	dp_deltomg(i, k) = dp_deltomg(i, kupper(i))
1183	omg(i, k) = omgtop(i) + (ph(i,k)-ptop(i))*dp_deltomg(i, kupper(i))
1184	END IF
1185	END DO
1186	END DO
1187	!! print *,'omg(igout,k) ', (k,omg(igout,k),k=1,klev)
1188	! cc nrlmd
1189	! c DO i=1,klon
1190	! c print*,'deltaw_ktop,deltaw_conv',omgtop(i),omg(i,kupper(i)+1)
1191	! c END DO
1192	! cc
1193
1194
1195	! -- Compute wake average vertical velocity omgbw
1196
1197
1198	DO k = 1, klev
1199	DO i = 1, klon
1200	IF (wk_adv(i)) THEN
1201	omgbw(i, k) = omgb(i, k) + (1.-sigmaw(i))*omg(i, k)
1202	END IF
1203	END DO
1204	END DO
1205	! -- and its vertical gradient dp_omgbw
1206
1207	DO k = 1, klev-1
1208	DO i = 1, klon
1209	IF (wk_adv(i)) THEN
1210	dp_omgbw(i, k) = (omgbw(i,k+1)-omgbw(i,k))/(ph(i,k+1)-ph(i,k))
1211	END IF
1212	END DO
1213	END DO
1214	DO i = 1, klon
1215	IF (wk_adv(i)) THEN
1216	dp_omgbw(i, klev) = 0.
1217	END IF
1218	END DO
1219
1220	! -- Upstream coefficients for omgb velocity
1221	! -- (alpha_up(k) is the coefficient of the value at level k)
1222	! -- (1-alpha_up(k) is the coefficient of the value at level k-1)
1223	DO k = 1, klev
1224	DO i = 1, klon
1225	IF (wk_adv(i)) THEN
1226	alpha_up(i, k) = 0.
1227	IF (omgb(i,k)>0.) alpha_up(i, k) = 1.
1228	END IF
1229	END DO
1230	END DO
1231
1232	! Matrix expressing [The,deltatw] from [Th1,Th2]
1233
1234	DO i = 1, klon
1235	IF (wk_adv(i)) THEN
1236	rre1(i) = 1. - sigmaw(i)
1237	rre2(i) = sigmaw(i)
1238	END IF
1239	END DO
1240	rrd1 = -1.
1241	rrd2 = 1.
1242
1243	! -- Get [Th1,Th2], dth and [q1,q2]
1244
1245	DO k = 1, klev
1246	DO i = 1, klon
1247	IF (wk_adv(i) .AND. k<=kupper(i)+1) THEN
1248	dth(i, k) = deltatw(i, k)/ppi(i, k)
1249	th1(i, k) = thb(i, k) - sigmaw(i)*dth(i, k) ! undisturbed area
1250	th2(i, k) = thb(i, k) + (1.-sigmaw(i))*dth(i, k) ! wake
1251	q1(i, k) = qb(i, k) - sigmaw(i)*deltaqw(i, k) ! undisturbed area
1252	q2(i, k) = qb(i, k) + (1.-sigmaw(i))*deltaqw(i, k) ! wake
1253	END IF
1254	END DO
1255	END DO
1256
1257	DO i = 1, klon
1258	IF (wk_adv(i)) THEN !!! nrlmd
1259	d_th1(i, 1) = 0.
1260	d_th2(i, 1) = 0.
1261	d_dth(i, 1) = 0.
1262	d_q1(i, 1) = 0.
1263	d_q2(i, 1) = 0.
1264	d_dq(i, 1) = 0.
1265	END IF
1266	END DO
1267
1268	DO k = 2, klev
1269	DO i = 1, klon
1270	IF (wk_adv(i) .AND. k<=kupper(i)+1) THEN
1271	d_th1(i, k) = th1(i, k-1) - th1(i, k)
1272	d_th2(i, k) = th2(i, k-1) - th2(i, k)
1273	d_dth(i, k) = dth(i, k-1) - dth(i, k)
1274	d_q1(i, k) = q1(i, k-1) - q1(i, k)
1275	d_q2(i, k) = q2(i, k-1) - q2(i, k)
1276	d_dq(i, k) = deltaqw(i, k-1) - deltaqw(i, k)
1277	END IF
1278	END DO
1279	END DO
1280
1281	DO i = 1, klon
1282	IF (wk_adv(i)) THEN
1283	omgbdth(i, 1) = 0.
1284	omgbdq(i, 1) = 0.
1285	END IF
1286	END DO
1287
1288	DO k = 2, klev
1289	DO i = 1, klon
1290	IF (wk_adv(i) .AND. k<=kupper(i)+1) THEN ! loop on interfaces
1291	omgbdth(i, k) = omgb(i, k)*(dth(i,k-1)-dth(i,k))
1292	omgbdq(i, k) = omgb(i, k)*(deltaqw(i,k-1)-deltaqw(i,k))
1293	END IF
1294	END DO
1295	END DO
1296
1297	!! IF (prt_level>=10) THEN
1298	IF (prt_level>=10 .and. wk_adv(igout)) THEN
1299	PRINT *, 'wake-4.3, th1(igout,k) ', (k,th1(igout,k), k=1,kupper(igout))
1300	PRINT *, 'wake-4.3, th2(igout,k) ', (k,th2(igout,k), k=1,kupper(igout))
1301	PRINT *, 'wake-4.3, dth(igout,k) ', (k,dth(igout,k), k=1,kupper(igout))
1302	PRINT *, 'wake-4.3, omgbdth(igout,k) ', (k,omgbdth(igout,k), k=1,kupper(igout))
1303	ENDIF
1304
1305	! -----------------------------------------------------------------
1306	DO k = 1, klev-1
1307	DO i = 1, klon
1308	IF (wk_adv(i) .AND. k<=kupper(i)-1) THEN
1309	! -----------------------------------------------------------------
1310
1311	! Compute redistribution (advective) term
1312
1313	d_deltatw(i, k) = dtimesub/(ph(i,k)-ph(i,k+1))* &
1314	(rrd1omg(i,k)sigmaw(i)*d_th1(i,k) - &
1315	rrd2omg(i,k+1)(1.-sigmaw(i))*d_th2(i,k+1)- &
1316	(1.-alpha_up(i,k))*omgbdth(i,k)- &
1317	alpha_up(i,k+1)omgbdth(i,k+1))ppi(i, k)
1318	! print*,'d_deltatw=', k, d_deltatw(i,k)
1319
1320	d_deltaqw(i, k) = dtimesub/(ph(i,k)-ph(i,k+1))* &
1321	(rrd1omg(i,k)sigmaw(i)*d_q1(i,k)- &
1322	rrd2omg(i,k+1)(1.-sigmaw(i))*d_q2(i,k+1)- &
1323	(1.-alpha_up(i,k))*omgbdq(i,k)- &
1324	alpha_up(i,k+1)*omgbdq(i,k+1))
1325	! print*,'d_deltaqw=', k, d_deltaqw(i,k)
1326
1327	! and increment large scale tendencies
1328
1329
1330
1331
1332	! C
1333	! -----------------------------------------------------------------
1334	d_tb(i, k) = dtimesub((rre1(i)omg(i,k)sigmaw(i)d_th1(i,k)- &
1335	rre2(i)omg(i,k+1)(1.-sigmaw(i))*d_th2(i,k+1))/ &
1336	(ph(i,k)-ph(i,k+1)) &
1337	-sigmaw(i)(1.-sigmaw(i))dth(i,k)*(omg(i,k)-omg(i,k+1))/ &
1338	(ph(i,k)-ph(i,k+1)) )*ppi(i, k)
1339
1340	d_qb(i, k) = dtimesub((rre1(i)omg(i,k)sigmaw(i)d_q1(i,k)- &
1341	rre2(i)omg(i,k+1)(1.-sigmaw(i))*d_q2(i,k+1))/ &
1342	(ph(i,k)-ph(i,k+1)) &
1343	-sigmaw(i)(1.-sigmaw(i))deltaqw(i,k)*(omg(i,k)-omg(i,k+1))/ &
1344	(ph(i,k)-ph(i,k+1)) )
1345	ELSE IF (wk_adv(i) .AND. k==kupper(i)) THEN
1346	d_tb(i, k) = dtimesub(rre1(i)omg(i,k)sigmaw(i)d_th1(i,k)/(ph(i,k)-ph(i,k+1)))*ppi(i, k)
1347
1348	d_qb(i, k) = dtimesub(rre1(i)omg(i,k)sigmaw(i)d_q1(i,k)/(ph(i,k)-ph(i,k+1)))
1349
1350	END IF
1351	! cc
1352	END DO
1353	END DO
1354	! ------------------------------------------------------------------
1355
1356	IF (prt_level>=10) THEN
1357	PRINT *, 'wake-4.3, d_deltatw(igout,k) ', (k,d_deltatw(igout,k), k=1,klev)
1358	PRINT *, 'wake-4.3, d_deltaqw(igout,k) ', (k,d_deltaqw(igout,k), k=1,klev)
1359	ENDIF
1360
1361	! Increment state variables
1362	!jyg<
1363	IF (iflag_wk_pop_dyn >= 1) THEN
1364	DO k = 1, klev
1365	DO i = 1, klon
1366	IF (wk_adv(i) .AND. k<=kupper(i)) THEN
1367	detr(i,k) = - d_sig_death(i) - d_sig_col(i)
1368	entr(i,k) = d_sig_gen(i)
1369	ENDIF
1370	ENDDO
1371	ENDDO
1372	ELSE ! (iflag_wk_pop_dyn >= 1)
1373	DO k = 1, klev
1374	DO i = 1, klon
1375	IF (wk_adv(i) .AND. k<=kupper(i)) THEN
1376	detr(i, k) = 0.
1377
1378	entr(i, k) = 0.
1379	ENDIF
1380	ENDDO
1381	ENDDO
1382	ENDIF ! (iflag_wk_pop_dyn >= 1)
1383
1384
1385
1386	DO k = 1, klev
1387	DO i = 1, klon
1388	! cc nrlmd IF( wk_adv(i) .AND. k .LE. kupper(i)-1) THEN
1389	IF (wk_adv(i) .AND. k<=kupper(i)) THEN
1390	! cc
1391
1392
1393
1394	! Coefficient de repartition
1395
1396	crep(i, k) = crep_sol*(ph(i,kupper(i))-ph(i,k))/ &
1397	(ph(i,kupper(i))-ph(i,1))
1398	crep(i, k) = crep(i, k) + crep_upper*(ph(i,1)-ph(i,k))/ &
1399	(ph(i,1)-ph(i,kupper(i)))
1400
1401
1402	! Reintroduce compensating subsidence term.
1403
1404	! dtKE(k)=(dtdwn(k)*Crep(k))/sigmaw
1405	! dtKE(k)=dtKE(k)-(dtdwn(k)*(1-Crep(k))+dta(k))
1406	! . /(1-sigmaw)
1407	! dqKE(k)=(dqdwn(k)*Crep(k))/sigmaw
1408	! dqKE(k)=dqKE(k)-(dqdwn(k)*(1-Crep(k))+dqa(k))
1409	! . /(1-sigmaw)
1410
1411	! dtKE(k)=(dtdwn(k)Crep(k)+(1-Crep(k))dta(k))/sigmaw
1412	! dtKE(k)=dtKE(k)-(dtdwn(k)(1-Crep(k))+dta(k)Crep(k))
1413	! . /(1-sigmaw)
1414	! dqKE(k)=(dqdwn(k)Crep(k)+(1-Crep(k))dqa(k))/sigmaw
1415	! dqKE(k)=dqKE(k)-(dqdwn(k)(1-Crep(k))+dqa(k)Crep(k))
1416	! . /(1-sigmaw)
1417
1418	dtke(i, k) = (dtdwn(i,k)/sigmaw(i)-dta(i,k)/(1.-sigmaw(i)))
1419	dqke(i, k) = (dqdwn(i,k)/sigmaw(i)-dqa(i,k)/(1.-sigmaw(i)))
1420	! print*,'dtKE= ',dtKE(i,k),' dqKE= ',dqKE(i,k)
1421
1422	!
1423
1424	! cc nrlmd Prise en compte du taux de mortalite
1425	! cc Definitions de entr, detr
1426	!jyg<
1427	!! detr(i, k) = 0.
1428	!!
1429	!! entr(i, k) = detr(i, k) + gfl(i)*cstar(i) + &
1430	!! sigmaw(i)(1.-sigmaw(i))dp_deltomg(i, k)
1431	!!
1432	entr(i, k) = entr(i,k) + gfl(i)*cstar(i) + &
1433	sigmaw(i)(1.-sigmaw(i))dp_deltomg(i, k)
1434	!>jyg
1435	wkspread(i, k) = (entr(i,k)-detr(i,k))/sigmaw(i)
1436
1437	! cc wkspread(i,k) =
1438	! (1.-sigmaw(i))dp_deltomg(i,k)+gfl(i)Cstar(i)/
1439	! cc $ sigmaw(i)
1440
1441
1442	! ajout d'un effet onde de gravite -Tgw(k)*deltatw(k) 03/02/06 YU
1443	! Jingmei
1444
1445	! write(lunout,*)'wake.F ',i,k, dtimesub,d_deltat_gw(i,k),
1446	! & Tgw(i,k),deltatw(i,k)
1447	d_deltat_gw(i, k) = d_deltat_gw(i, k) - tgw(i, k)deltatw(i, k) &
1448	dtimesub
1449	! write(lunout,*)'wake.F ',i,k, dtimesub,d_deltatw(i,k)
1450	ff(i) = d_deltatw(i, k)/dtimesub
1451
1452	! Sans GW
1453
1454	! deltatw(k)=deltatw(k)+dtimesub(ff+dtKE(k)-wkspread(k)deltatw(k))
1455
1456	! GW formule 1
1457
1458	! deltatw(k) = deltatw(k)+dtimesub*
1459	! $ (ff+dtKE(k) - wkspread(k)deltatw(k)-Tgw(k)deltatw(k))
1460
1461	! GW formule 2
1462
1463	IF (dtimesub*tgw(i,k)<1.E-10) THEN
1464	d_deltatw(i, k) = dtimesub*(ff(i)+dtke(i,k) - &
1465	entr(i,k)*deltatw(i,k)/sigmaw(i) - &
1466	(death_rate(i)sigmaw(i)+detr(i,k))deltatw(i,k)/(1.-sigmaw(i)) - & ! cc
1467	tgw(i,k)*deltatw(i,k) )
1468	ELSE
1469	d_deltatw(i, k) = 1/tgw(i, k)(1-exp(-dtimesubtgw(i,k)))* &
1470	(ff(i)+dtke(i,k) - &
1471	entr(i,k)*deltatw(i,k)/sigmaw(i) - &
1472	(death_rate(i)sigmaw(i)+detr(i,k))deltatw(i,k)/(1.-sigmaw(i)) - &
1473	tgw(i,k)*deltatw(i,k) )
1474	END IF
1475
1476	dth(i, k) = deltatw(i, k)/ppi(i, k)
1477
1478	gg(i) = d_deltaqw(i, k)/dtimesub
1479
1480	d_deltaqw(i, k) = dtimesub*(gg(i)+dqke(i,k) - &
1481	entr(i,k)*deltaqw(i,k)/sigmaw(i) - &
1482	(death_rate(i)sigmaw(i)+detr(i,k))deltaqw(i,k)/(1.-sigmaw(i)))
1483	! cc
1484
1485	! cc nrlmd
1486	! cc d_deltatw2(i,k)=d_deltatw2(i,k)+d_deltatw(i,k)
1487	! cc d_deltaqw2(i,k)=d_deltaqw2(i,k)+d_deltaqw(i,k)
1488	! cc
1489	END IF
1490	END DO
1491	END DO
1492
1493
1494	! Scale tendencies so that water vapour remains positive in w and x.
1495
1496	CALL wake_vec_modulation(klon, klev, wk_adv, epsilon_loc, qb, d_qb, deltaqw, &
1497	d_deltaqw, sigmaw, d_sigmaw, alpha)
1498	!
1499	! Alpha_tot = Product of all the alpha's
1500	DO i = 1, klon
1501	IF (wk_adv(i)) THEN
1502	alpha_tot(i) = alpha_tot(i)*alpha(i)
1503	END IF
1504	END DO
1505
1506	! cc nrlmd
1507	! c print*,'alpha'
1508	! c do i=1,klon
1509	! c print*,alpha(i)
1510	! c end do
1511	! cc
1512	DO k = 1, klev
1513	DO i = 1, klon
1514	IF (wk_adv(i) .AND. k<=kupper(i)) THEN
1515	d_tb(i, k) = alpha(i)*d_tb(i, k)
1516	d_qb(i, k) = alpha(i)*d_qb(i, k)
1517	d_deltatw(i, k) = alpha(i)*d_deltatw(i, k)
1518	d_deltaqw(i, k) = alpha(i)*d_deltaqw(i, k)
1519	d_deltat_gw(i, k) = alpha(i)*d_deltat_gw(i, k)
1520	END IF
1521	END DO
1522	END DO
1523	DO i = 1, klon
1524	IF (wk_adv(i)) THEN
1525	d_sigmaw(i) = alpha(i)*d_sigmaw(i)
1526	END IF
1527	END DO
1528
1529	! Update large scale variables and wake variables
1530	! IM 060208 manque DO i + remplace DO k=1,kupper(i)
1531	! IM 060208 DO k = 1,kupper(i)
1532	DO k = 1, klev
1533	DO i = 1, klon
1534	IF (wk_adv(i) .AND. k<=kupper(i)) THEN
1535	dtls(i, k) = dtls(i, k) + d_tb(i, k)
1536	dqls(i, k) = dqls(i, k) + d_qb(i, k)
1537	! cc nrlmd
1538	d_deltatw2(i, k) = d_deltatw2(i, k) + d_deltatw(i, k)
1539	d_deltaqw2(i, k) = d_deltaqw2(i, k) + d_deltaqw(i, k)
1540	! cc
1541	END IF
1542	END DO
1543	END DO
1544	DO k = 1, klev
1545	DO i = 1, klon
1546	IF (wk_adv(i) .AND. k<=kupper(i)) THEN
1547	tb(i, k) = tb0(i, k) + dtls(i, k)
1548	qb(i, k) = qb0(i, k) + dqls(i, k)
1549	thb(i, k) = tb(i, k)/ppi(i, k)
1550	deltatw(i, k) = deltatw(i, k) + d_deltatw(i, k)
1551	deltaqw(i, k) = deltaqw(i, k) + d_deltaqw(i, k)
1552	dth(i, k) = deltatw(i, k)/ppi(i, k)
1553	! c print,'k,qx,qw',k,qb(i,k)-sigmaw(i)deltaqw(i,k)
1554	! c $ ,qb(i,k)+(1-sigmaw(i))*deltaqw(i,k)
1555	END IF
1556	END DO
1557	END DO
1558	!
1559	DO i = 1, klon
1560	IF (wk_adv(i)) THEN
1561	sigmaw(i) = sigmaw(i) + d_sigmaw(i)
1562	d_sigmaw2(i) = d_sigmaw2(i) + d_sigmaw(i)
1563	END IF
1564	END DO
1565	!jyg<
1566	IF (iflag_wk_pop_dyn >= 1) THEN
1567	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! sigmaw !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1568	! Cumulatives
1569	DO i = 1, klon
1570	IF (wk_adv(i)) THEN
1571	d_sig_gen2(i) = d_sig_gen2(i) + d_sig_gen(i)
1572	d_sig_death2(i) = d_sig_death2(i) + d_sig_death(i)
1573	d_sig_col2(i) = d_sig_col2(i) + d_sig_col(i)
1574	d_sig_spread2(i)= d_sig_spread2(i)+ d_sig_spread(i)
1575	d_sig_bnd2(i) = d_sig_bnd2(i) + d_sig_bnd(i)
1576	END IF
1577	END DO
1578	! Bounds
1579	DO i = 1, klon
1580	IF (wk_adv(i)) THEN
1581	sigmaw_targ = max(sigmaw(i),sigmad)
1582	d_sig_bnd2(i) = d_sig_bnd2(i) + sigmaw_targ - sigmaw(i)
1583	d_sigmaw2(i) = d_sigmaw2(i) + sigmaw_targ - sigmaw(i)
1584	sigmaw(i) = sigmaw_targ
1585	END IF
1586	END DO
1587	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! wdens !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1588	! Cumulatives
1589	DO i = 1, klon
1590	IF (wk_adv(i)) THEN
1591	wdens(i) = wdens(i) + d_wdens(i)
1592	d_wdens2(i) = d_wdens2(i) + d_wdens(i)
1593	d_dens_gen2(i) = d_dens_gen2(i) + d_dens_gen(i)
1594	d_dens_death2(i) = d_dens_death2(i) + d_dens_death(i)
1595	d_dens_col2(i) = d_dens_col2(i) + d_dens_col(i)
1596	d_dens_bnd2(i) = d_dens_bnd2(i) + d_dens_bnd(i)
1597	END IF
1598	END DO
1599	! Bounds
1600	DO i = 1, klon
1601	IF (wk_adv(i)) THEN
1602	wdens_targ = max(wdens(i),wdensmin)
1603	d_dens_bnd2(i) = d_dens_bnd2(i) + wdens_targ - wdens(i)
1604	d_wdens2(i) = d_wdens2(i) + wdens_targ - wdens(i)
1605	wdens(i) = wdens_targ
1606	END IF
1607	END DO
1608	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! awdens !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1609	! Cumulatives
1610	DO i = 1, klon
1611	IF (wk_adv(i)) THEN
1612	awdens(i) = awdens(i) + d_awdens(i)
1613	d_awdens2(i) = d_awdens2(i) + d_awdens(i)
1614	END IF
1615	END DO
1616	! Bounds
1617	DO i = 1, klon
1618	IF (wk_adv(i)) THEN
1619	wdens_targ = min( max(awdens(i),0.), wdens(i) )
1620	d_adens_bnd2(i) = d_adens_bnd2(i) + wdens_targ - awdens(i)
1621	d_awdens2(i) = d_awdens2(i) + wdens_targ - awdens(i)
1622	awdens(i) = wdens_targ
1623	END IF
1624	END DO
1625	!
1626	IF (iflag_wk_pop_dyn >= 2) THEN
1627	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! awdens again for iflag_wk_pop_dyn >= 2!!!!!!
1628	! Cumulatives
1629	DO i = 1, klon
1630	IF (wk_adv(i)) THEN
1631	d_adens_death2(i) = d_adens_death2(i) + d_adens_death(i)
1632	d_adens_icol2(i) = d_adens_icol2(i) + d_adens_icol(i)
1633	d_adens_acol2(i) = d_adens_acol2(i) + d_adens_acol(i)
1634	d_adens_bnd2(i) = d_adens_bnd2(i) + d_adens_bnd(i)
1635	END IF
1636	END DO
1637	! Bounds
1638	DO i = 1, klon
1639	IF (wk_adv(i)) THEN
1640	wdens_targ = min( max(awdens(i),0.), wdens(i) )
1641	d_adens_bnd2(i) = d_adens_bnd2(i) + wdens_targ - awdens(i)
1642	awdens(i) = wdens_targ
1643	END IF
1644	END DO
1645	!
1646	IF (iflag_wk_pop_dyn == 3) THEN
1647	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! asigmaw for iflag_wk_pop_dyn = 3!!!!!!
1648	! Cumulatives
1649	DO i = 1, klon
1650	IF (wk_adv(i)) THEN
1651	asigmaw(i) = asigmaw(i) + d_asigmaw(i)
1652	d_asigmaw2(i) = d_asigmaw2(i) + d_asigmaw(i)
1653	d_asig_death2(i) = d_asig_death2(i) + d_asig_death(i)
1654	d_asig_spread2(i) = d_asig_spread2(i) + d_asig_spread(i)
1655	d_asig_iicol2(i) = d_asig_iicol2(i) + d_asig_iicol(i)
1656	d_asig_aicol2(i) = d_asig_aicol2(i) + d_asig_aicol(i)
1657	d_asig_bnd2(i) = d_asig_bnd2(i) + d_asig_bnd(i)
1658	END IF
1659	END DO
1660	! Bounds
1661	DO i = 1, klon
1662	IF (wk_adv(i)) THEN
1663	! asigmaw lower bound set to sigmad/2 in order to allow asigmaw values lower than sigmad.
1664	!! sigmaw_targ = min(max(asigmaw(i),sigmad),sigmaw(i))
1665	sigmaw_targ = min(max(asigmaw(i),sigmad/2.),sigmaw(i))
1666	d_asig_bnd2(i) = d_asig_bnd2(i) + sigmaw_targ - asigmaw(i)
1667	d_asigmaw2(i) = d_asigmaw2(i) + sigmaw_targ - asigmaw(i)
1668	asigmaw(i) = sigmaw_targ
1669	END IF
1670	END DO
1671
1672	#ifdef IOPHYS_WK
1673	IF (phys_sub) THEN
1674	CALL iophys_ecrit('wdensb',1,'wdensb','m',wdens)
1675	CALL iophys_ecrit('awdensb',1,'awdensb','m',awdens)
1676	CALL iophys_ecrit('sigmawb',1,'sigmawb','m',sigmaw)
1677	CALL iophys_ecrit('asigmawb',1,'asigmawb','m',asigmaw)
1678	!
1679	call iophys_ecrit('d_wdens2',1,'d_wdens2','',d_wdens2)
1680	call iophys_ecrit('d_dens_gen2',1,'d_dens_gen2','',d_dens_gen2)
1681	call iophys_ecrit('d_dens_death2',1,'d_dens_death2','',d_dens_death2)
1682	call iophys_ecrit('d_dens_col2',1,'d_dens_col2','',d_dens_col2)
1683	call iophys_ecrit('d_dens_bnd2',1,'d_dens_bnd2','',d_dens_bnd2)
1684	!
1685	call iophys_ecrit('d_awdens2',1,'d_awdens2','',d_awdens2)
1686	call iophys_ecrit('d_adens_death2',1,'d_adens_death2','',d_adens_death2)
1687	call iophys_ecrit('d_adens_icol2',1,'d_adens_icol2','',d_adens_icol2)
1688	call iophys_ecrit('d_adens_acol2',1,'d_adens_acol2','',d_adens_acol2)
1689	call iophys_ecrit('d_adens_bnd2',1,'d_adens_bnd2','',d_adens_bnd2)
1690	!
1691	CALL iophys_ecrit('d_sigmaw2',1,'d_sigmaw2','',d_sigmaw2)
1692	CALL iophys_ecrit('d_sig_gen2',1,'d_sig_gen2','m',d_sig_gen2)
1693	CALL iophys_ecrit('d_sig_spread2',1,'d_sig_spread2','',d_sig_spread2)
1694	CALL iophys_ecrit('d_sig_col2',1,'d_sig_col2','',d_sig_col2)
1695	CALL iophys_ecrit('d_sig_death2',1,'d_sig_death2','',d_sig_death2)
1696	CALL iophys_ecrit('d_sig_bnd2',1,'d_sig_bnd2','',d_sig_bnd2)
1697	!
1698	CALL iophys_ecrit('d_asigmaw2',1,'d_asigmaw2','',d_asigmaw2)
1699	CALL iophys_ecrit('d_asig_spread2',1,'d_asig_spread2','m',d_asig_spread2)
1700	CALL iophys_ecrit('d_asig_aicol2',1,'d_asig_aicol2','m',d_asig_aicol2)
1701	CALL iophys_ecrit('d_asig_iicol2',1,'d_asig_iicol2','m',d_asig_iicol2)
1702	CALL iophys_ecrit('d_asig_death2',1,'d_asig_death2','m',d_asig_death2)
1703	CALL iophys_ecrit('d_asig_bnd2',1,'d_asig_bnd2','m',d_asig_bnd2)
1704	ENDIF
1705	#endif
1706	ENDIF ! (iflag_wk_pop_dyn == 3)
1707	ENDIF ! (iflag_wk_pop_dyn >= 2)
1708	ENDIF ! (iflag_wk_pop_dyn >= 1)
1709
1710
1711
1712	Call pkupper (klon, klev, ptop, ph, p, pupper, kupper, &
1713	dth, hw, rho, delta_t_min, &
1714	ktop, wk_adv, h_zzz, ptop1, ktop1)
1715
1716	! 5/ Set deltatw & deltaqw to 0 above kupper
1717
1718	DO k = 1, klev
1719	DO i = 1, klon
1720	IF (wk_adv(i) .AND. k>=kupper(i)) THEN
1721	deltatw(i, k) = 0.
1722	deltaqw(i, k) = 0.
1723	d_deltatw2(i,k) = -deltatw0(i,k)
1724	d_deltaqw2(i,k) = -deltaqw0(i,k)
1725	END IF
1726	END DO
1727	END DO
1728
1729
1730	! -------------Cstar computation---------------------------------
1731	DO i = 1, klon
1732	IF (wk_adv(i)) THEN !!! nrlmd
1733	sum_thx(i) = 0.
1734	sum_tx(i) = 0.
1735	sum_qx(i) = 0.
1736	sum_thvx(i) = 0.
1737	sum_dth(i) = 0.
1738	sum_dq(i) = 0.
1739	sum_dtdwn(i) = 0.
1740	sum_dqdwn(i) = 0.
1741
1742	av_thx(i) = 0.
1743	av_tx(i) = 0.
1744	av_qx(i) = 0.
1745	av_thvx(i) = 0.
1746	av_dth(i) = 0.
1747	av_dq(i) = 0.
1748	av_dtdwn(i) = 0.
1749	av_dqdwn(i) = 0.
1750	END IF
1751	END DO
1752
1753	! Integrals (and wake top level number)
1754	! --------------------------------------
1755
1756	! Initialize sum_thvx to 1st level virt. pot. temp.
1757
1758	DO i = 1, klon
1759	IF (wk_adv(i)) THEN !!! nrlmd
1760	z(i) = 1.
1761	dz(i) = 1.
1762	sum_thvx(i) = thx(i, 1)(1.+epsim1qx(i,1))*dz(i)
1763	sum_dth(i) = 0.
1764	END IF
1765	END DO
1766
1767	DO k = 1, klev
1768	DO i = 1, klon
1769	IF (wk_adv(i)) THEN !!! nrlmd
1770	dz(i) = -(max(ph(i,k+1),ptop(i))-ph(i,k))/(rho(i,k)*RG)
1771	IF (dz(i)>0) THEN
1772	z(i) = z(i) + dz(i)
1773	sum_thx(i) = sum_thx(i) + thx(i, k)*dz(i)
1774	sum_tx(i) = sum_tx(i) + tx(i, k)*dz(i)
1775	sum_qx(i) = sum_qx(i) + qx(i, k)*dz(i)
1776	sum_thvx(i) = sum_thvx(i) + thx(i, k)(1.+epsim1qx(i,k))*dz(i)
1777	sum_dth(i) = sum_dth(i) + dth(i, k)*dz(i)
1778	sum_dq(i) = sum_dq(i) + deltaqw(i, k)*dz(i)
1779	sum_dtdwn(i) = sum_dtdwn(i) + dtdwn(i, k)*dz(i)
1780	sum_dqdwn(i) = sum_dqdwn(i) + dqdwn(i, k)*dz(i)
1781	END IF
1782	END IF
1783	END DO
1784	END DO
1785
1786	DO i = 1, klon
1787	IF (wk_adv(i)) THEN !!! nrlmd
1788	hw0(i) = z(i)
1789	END IF
1790	END DO
1791
1792
1793	! - WAPE and mean forcing computation
1794	! ---------------------------------------
1795
1796	! ---------------------------------------
1797
1798	! Means
1799
1800	DO i = 1, klon
1801	IF (wk_adv(i)) THEN !!! nrlmd
1802	av_thx(i) = sum_thx(i)/hw0(i)
1803	av_tx(i) = sum_tx(i)/hw0(i)
1804	av_qx(i) = sum_qx(i)/hw0(i)
1805	av_thvx(i) = sum_thvx(i)/hw0(i)
1806	av_dth(i) = sum_dth(i)/hw0(i)
1807	av_dq(i) = sum_dq(i)/hw0(i)
1808	av_dtdwn(i) = sum_dtdwn(i)/hw0(i)
1809	av_dqdwn(i) = sum_dqdwn(i)/hw0(i)
1810
1811	wape(i) = -RGhw0(i)(av_dth(i)+epsim1(av_thx(i)av_dq(i) + &
1812	av_dth(i)av_qx(i)+av_dth(i)av_dq(i)))/av_thvx(i)
1813	END IF
1814	END DO
1815
1816
1817	! Filter out bad wakes
1818
1819	DO k = 1, klev
1820	DO i = 1, klon
1821	IF (wk_adv(i)) THEN !!! nrlmd
1822	IF (wape(i)<0.) THEN
1823	deltatw(i, k) = 0.
1824	deltaqw(i, k) = 0.
1825	dth(i, k) = 0.
1826	d_deltatw2(i,k) = -deltatw0(i,k)
1827	d_deltaqw2(i,k) = -deltaqw0(i,k)
1828	END IF
1829	END IF
1830	END DO
1831	END DO
1832
1833	DO i = 1, klon
1834	IF (wk_adv(i)) THEN !!! nrlmd
1835	IF (wape(i)<0.) THEN
1836	wape(i) = 0.
1837	cstar(i) = 0.
1838	hw(i) = hwmin
1839	!jyg<
1840	!! sigmaw(i) = max(sigmad, sigd_con(i))
1841	sigmaw_targ = max(sigmad, sigd_con(i))
1842	d_sig_bnd2(i) = d_sig_bnd2(i) + sigmaw_targ - sigmaw(i)
1843	d_sigmaw2(i) = d_sigmaw2(i) + sigmaw_targ - sigmaw(i)
1844	sigmaw(i) = sigmaw_targ
1845	!
1846	d_asig_bnd2(i) = d_asig_bnd2(i) + sigmaw_targ - asigmaw(i)
1847	d_asigmaw2(i) = d_asigmaw2(i) + sigmaw_targ - asigmaw(i)
1848	asigmaw(i) = sigmaw_targ
1849	!>jyg
1850	fip(i) = 0.
1851	gwake(i) = .FALSE.
1852	ELSE
1853	cstar(i) = starksqrt(2.wape(i))
1854	gwake(i) = .TRUE.
1855	END IF
1856	END IF
1857	END DO
1858	!
1859	! ------------------------------------------------------------------------
1860	!
1861	END DO ! isubstep end sub-timestep loop
1862	!
1863	! ------------------------------------------------------------------------
1864	! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
1865	! ------------------------------------------------------------------------
1866	!
1867
1868	#ifdef IOPHYS_WK
1869	IF (.not.phys_sub) CALL iophys_ecrit('wape_b',1,'wape_b','J/kg',wape)
1870	#endif
1871	IF (prt_level>=10) THEN
1872	PRINT *, 'wake-5, sigmaw(igout), cstar(igout), wape(igout), ptop(igout) ', &
1873	sigmaw(igout), cstar(igout), wape(igout), ptop(igout)
1874	ENDIF
1875
1876
1877	! ----------------------------------------------------------
1878	! Determine wake final state; recompute wape, cstar, ktop;
1879	! filter out bad wakes.
1880	! ----------------------------------------------------------
1881
1882	! 2.1 - Undisturbed area and Wake integrals
1883	! ---------------------------------------------------------
1884
1885	DO i = 1, klon
1886	! cc nrlmd if (wk_adv(i)) then !!! nrlmd
1887	IF (ok_qx_qw(i)) THEN
1888	! cc
1889	z(i) = 0.
1890	sum_thx(i) = 0.
1891	sum_tx(i) = 0.
1892	sum_qx(i) = 0.
1893	sum_thvx(i) = 0.
1894	sum_dth(i) = 0.
1895	sum_half_dth(i) = 0.
1896	sum_dq(i) = 0.
1897	sum_dtdwn(i) = 0.
1898	sum_dqdwn(i) = 0.
1899
1900	av_thx(i) = 0.
1901	av_tx(i) = 0.
1902	av_qx(i) = 0.
1903	av_thvx(i) = 0.
1904	av_dth(i) = 0.
1905	av_dq(i) = 0.
1906	av_dtdwn(i) = 0.
1907	av_dqdwn(i) = 0.
1908
1909	dthmin(i) = -delta_t_min
1910	END IF
1911	END DO
1912	! Potential temperatures and humidity
1913	! ----------------------------------------------------------
1914
1915	DO k = 1, klev
1916	DO i = 1, klon
1917	! cc nrlmd IF ( wk_adv(i)) THEN
1918	IF (ok_qx_qw(i)) THEN
1919	! cc
1920	rho(i, k) = p(i, k)/(RD*tb(i,k))
1921	IF (k==1) THEN
1922	rhoh(i, k) = ph(i, k)/(RD*tb(i,k))
1923	zhh(i, k) = 0
1924	ELSE
1925	rhoh(i, k) = ph(i, k)2./(RD(tb(i,k)+tb(i,k-1)))
1926	zhh(i, k) = (ph(i,k)-ph(i,k-1))/(-rhoh(i,k)*RG) + zhh(i, k-1)
1927	END IF
1928	thb(i, k) = tb(i, k)/ppi(i, k)
1929	thx(i, k) = (tb(i,k)-deltatw(i,k)*sigmaw(i))/ppi(i, k)
1930	tx(i, k) = tb(i, k) - deltatw(i, k)*sigmaw(i)
1931	qx(i, k) = qb(i, k) - deltaqw(i, k)*sigmaw(i)
1932	dth(i, k) = deltatw(i, k)/ppi(i, k)
1933	END IF
1934	END DO
1935	END DO
1936
1937	! Integrals (and wake top level number)
1938	! -----------------------------------------------------------
1939
1940	! Initialize sum_thvx to 1st level virt. pot. temp.
1941
1942	DO i = 1, klon
1943	! cc nrlmd IF ( wk_adv(i)) THEN
1944	IF (ok_qx_qw(i)) THEN
1945	! cc
1946	z(i) = 1.
1947	dz(i) = 1.
1948	dz_half(i) = 1.
1949	sum_thvx(i) = thx(i, 1)(1.+epsim1qx(i,1))*dz(i)
1950	sum_dth(i) = 0.
1951	END IF
1952	END DO
1953
1954	DO k = 1, klev
1955	DO i = 1, klon
1956	! cc nrlmd IF ( wk_adv(i)) THEN
1957	IF (ok_qx_qw(i)) THEN
1958	! cc
1959	dz(i) = -(amax1(ph(i,k+1),ptop(i))-ph(i,k))/(rho(i,k)*RG)
1960	dz_half(i) = -(amax1(ph(i,k+1),0.5(ptop(i)+ph(i,1)))-ph(i,k))/(rho(i,k)RG)
1961	IF (dz(i)>0) THEN
1962	z(i) = z(i) + dz(i)
1963	sum_thx(i) = sum_thx(i) + thx(i, k)*dz(i)
1964	sum_tx(i) = sum_tx(i) + tx(i, k)*dz(i)
1965	sum_qx(i) = sum_qx(i) + qx(i, k)*dz(i)
1966	sum_thvx(i) = sum_thvx(i) + thx(i, k)(1.+epsim1qx(i,k))*dz(i)
1967	sum_dth(i) = sum_dth(i) + dth(i, k)*dz(i)
1968	sum_dq(i) = sum_dq(i) + deltaqw(i, k)*dz(i)
1969	sum_dtdwn(i) = sum_dtdwn(i) + dtdwn(i, k)*dz(i)
1970	sum_dqdwn(i) = sum_dqdwn(i) + dqdwn(i, k)*dz(i)
1971	!
1972	dthmin(i) = min(dthmin(i), dth(i,k))
1973	END IF
1974	IF (dz_half(i)>0) THEN
1975	sum_half_dth(i) = sum_half_dth(i) + dth(i, k)*dz_half(i)
1976	END IF
1977	END IF
1978	END DO
1979	END DO
1980
1981	DO i = 1, klon
1982	! cc nrlmd IF ( wk_adv(i)) THEN
1983	IF (ok_qx_qw(i)) THEN
1984	! cc
1985	hw0(i) = z(i)
1986	END IF
1987	END DO
1988
1989	! - WAPE and mean forcing computation
1990	! -------------------------------------------------------------
1991
1992	! Means
1993
1994	DO i = 1, klon
1995	! cc nrlmd IF ( wk_adv(i)) THEN
1996	IF (ok_qx_qw(i)) THEN
1997	! cc
1998	av_thx(i) = sum_thx(i)/hw0(i)
1999	av_tx(i) = sum_tx(i)/hw0(i)
2000	av_qx(i) = sum_qx(i)/hw0(i)
2001	av_thvx(i) = sum_thvx(i)/hw0(i)
2002	av_dth(i) = sum_dth(i)/hw0(i)
2003	av_dq(i) = sum_dq(i)/hw0(i)
2004	av_dtdwn(i) = sum_dtdwn(i)/hw0(i)
2005	av_dqdwn(i) = sum_dqdwn(i)/hw0(i)
2006
2007	wape2(i) = -RGhw0(i)(av_dth(i)+epsim1(av_thx(i)av_dq(i) + &
2008	av_dth(i)av_qx(i)+av_dth(i)av_dq(i)))/av_thvx(i)
2009	END IF
2010	END DO
2011	#ifdef IOPHYS_WK
2012	IF (.not.phys_sub) CALL iophys_ecrit('wape2_a',1,'wape2_a','J/kg',wape2)
2013	#endif
2014
2015
2016	! Prognostic variable update
2017	! ------------------------------------------------------------
2018
2019	! Filter out bad wakes
2020
2021	IF (iflag_wk_check_trgl>=1) THEN
2022	! Check triangular shape of dth profile
2023	DO i = 1, klon
2024	IF (ok_qx_qw(i)) THEN
2025	!! print *,'wake, hw0(i), dthmin(i) ', hw0(i), dthmin(i)
2026	!! print ,'wake, 2.sum_dth(i)/(hw0(i)*dthmin(i)) ', &
2027	!! 2.sum_dth(i)/(hw0(i)dthmin(i))
2028	!! print *,'wake, sum_half_dth(i), sum_dth(i) ', &
2029	!! sum_half_dth(i), sum_dth(i)
2030	IF ((hw0(i) < 1.) .or. (dthmin(i) >= -delta_t_min) ) THEN
2031	wape2(i) = -1.
2032	!! print *,'wake, rej 1'
2033	ELSE IF (iflag_wk_check_trgl==1.AND.abs(2.sum_dth(i)/(hw0(i)dthmin(i)) - 1.) > 0.5) THEN
2034	wape2(i) = -1.
2035	!! print *,'wake, rej 2'
2036	ELSE IF (abs(sum_half_dth(i)) < 0.5*abs(sum_dth(i)) ) THEN
2037	wape2(i) = -1.
2038	!! print *,'wake, rej 3'
2039	END IF
2040	END IF
2041	END DO
2042	END IF
2043	#ifdef IOPHYS_WK
2044	IF (.not.phys_sub) CALL iophys_ecrit('wape2_b',1,'wape2_b','J/kg',wape2)
2045	#endif
2046
2047
2048	DO k = 1, klev
2049	DO i = 1, klon
2050	! cc nrlmd IF ( wk_adv(i) .AND. wape2(i) .LT. 0.) THEN
2051	IF (ok_qx_qw(i) .AND. wape2(i)<0.) THEN
2052	! cc
2053	deltatw(i, k) = 0.
2054	deltaqw(i, k) = 0.
2055	dth(i, k) = 0.
2056	d_deltatw2(i,k) = -deltatw0(i,k)
2057	d_deltaqw2(i,k) = -deltaqw0(i,k)
2058	END IF
2059	END DO
2060	END DO
2061
2062
2063	DO i = 1, klon
2064	! cc nrlmd IF ( wk_adv(i)) THEN
2065	IF (ok_qx_qw(i)) THEN
2066	! cc
2067	IF (wape2(i)<0.) THEN
2068	wape2(i) = 0.
2069	cstar2(i) = 0.
2070	hw(i) = hwmin
2071	!jyg<
2072	!! sigmaw(i) = amax1(sigmad, sigd_con(i))
2073	sigmaw_targ = max(sigmad, sigd_con(i))
2074	d_sig_bnd2(i) = d_sig_bnd2(i) + sigmaw_targ - sigmaw(i)
2075	d_sigmaw2(i) = d_sigmaw2(i) + sigmaw_targ - sigmaw(i)
2076	sigmaw(i) = sigmaw_targ
2077	!
2078	d_asig_bnd2(i) = d_asig_bnd2(i) + sigmaw_targ - asigmaw(i)
2079	d_asigmaw2(i) = d_asigmaw2(i) + sigmaw_targ - asigmaw(i)
2080	asigmaw(i) = sigmaw_targ
2081	!>jyg
2082	fip(i) = 0.
2083	gwake(i) = .FALSE.
2084	ELSE
2085	IF (prt_level>=10) PRINT *, 'wape2>0'
2086	cstar2(i) = starksqrt(2.wape2(i))
2087	gwake(i) = .TRUE.
2088	END IF
2089	#ifdef IOPHYS_WK
2090	IF (.not.phys_sub) CALL iophys_ecrit('cstar2',1,'cstar2','J/kg',cstar2)
2091	#endif
2092	END IF ! (ok_qx_qw(i))
2093	END DO
2094
2095	DO i = 1, klon
2096	! cc nrlmd IF ( wk_adv(i)) THEN
2097	IF (ok_qx_qw(i)) THEN
2098	! cc
2099	ktopw(i) = ktop(i)
2100	END IF
2101	END DO
2102
2103	DO i = 1, klon
2104	! cc nrlmd IF ( wk_adv(i)) THEN
2105	IF (ok_qx_qw(i)) THEN
2106	! cc
2107	IF (ktopw(i)>0 .AND. gwake(i)) THEN
2108
2109	! jyg1 Utilisation d'un h_efficace constant ( ~ feeding layer)
2110	! cc heff = 600.
2111	! Utilisation de la hauteur hw
2112	! c heff = 0.7*hw
2113	heff(i) = hw(i)
2114
2115	fip(i) = 0.5rho(i, ktopw(i))cstar2(i)*3heff(i)2 &
2116	sqrt(sigmaw(i)wdens(i)3.14)
2117	fip(i) = alpk*fip(i)
2118	! jyg2
2119	ELSE
2120	fip(i) = 0.
2121	END IF
2122	END IF
2123	END DO
2124	IF (iflag_wk_pop_dyn >= 3) THEN
2125	#ifdef IOPHYS_WK
2126	IF (.not.phys_sub) THEN
2127	CALL iophys_ecrit('fip',1,'fip','J/kg',fip)
2128	CALL iophys_ecrit('hw',1,'hw','J/kg',hw)
2129	CALL iophys_ecrit('ptop',1,'ptop','J/kg',ptop)
2130	CALL iophys_ecrit('wdens',1,'wdens','J/kg',wdens)
2131	CALL iophys_ecrit('awdens',1,'awdens','m',awdens)
2132	CALL iophys_ecrit('sigmaw',1,'sigmaw','m',sigmaw)
2133	CALL iophys_ecrit('asigmaw',1,'asigmaw','m',asigmaw)
2134	!
2135	CALL iophys_ecrit('rad_wk',1,'rad_wk','J/kg',rad_wk)
2136	CALL iophys_ecrit('arad_wk',1,'arad_wk','J/kg',arad_wk)
2137	CALL iophys_ecrit('irad_wk',1,'irad_wk','J/kg',irad_wk)
2138	!
2139	call iophys_ecrit('d_wdens2',1,'d_wdens2','',d_wdens2)
2140	call iophys_ecrit('d_dens_gen2',1,'d_dens_gen2','',d_dens_gen2)
2141	call iophys_ecrit('d_dens_death2',1,'d_dens_death2','',d_dens_death2)
2142	call iophys_ecrit('d_dens_col2',1,'d_dens_col2','',d_dens_col2)
2143	call iophys_ecrit('d_dens_bnd2',1,'d_dens_bnd2','',d_dens_bnd2)
2144	!
2145	call iophys_ecrit('d_awdens2',1,'d_awdens2','',d_awdens2)
2146	call iophys_ecrit('d_adens_death2',1,'d_adens_death2','',d_adens_death2)
2147	call iophys_ecrit('d_adens_icol2',1,'d_adens_icol2','',d_adens_icol2)
2148	call iophys_ecrit('d_adens_acol2',1,'d_adens_acol2','',d_adens_acol2)
2149	call iophys_ecrit('d_adens_bnd2',1,'d_adens_bnd2','',d_adens_bnd2)
2150	!
2151	CALL iophys_ecrit('d_sigmaw2',1,'d_sigmaw2','',d_sigmaw2)
2152	CALL iophys_ecrit('d_sig_gen2',1,'d_sig_gen2','m',d_sig_gen2)
2153	CALL iophys_ecrit('d_sig_spread2',1,'d_sig_spread2','',d_sig_spread2)
2154	CALL iophys_ecrit('d_sig_col2',1,'d_sig_col2','',d_sig_col2)
2155	CALL iophys_ecrit('d_sig_death2',1,'d_sig_death2','',d_sig_death2)
2156	CALL iophys_ecrit('d_sig_bnd2',1,'d_sig_bnd2','',d_sig_bnd2)
2157	!
2158	CALL iophys_ecrit('d_asigmaw2',1,'d_asigmaw2','',d_asigmaw2)
2159	CALL iophys_ecrit('d_asig_spread2',1,'d_asig_spread2','m',d_asig_spread2)
2160	CALL iophys_ecrit('d_asig_aicol2',1,'d_asig_aicol2','m',d_asig_aicol2)
2161	CALL iophys_ecrit('d_asig_iicol2',1,'d_asig_iicol2','m',d_asig_iicol2)
2162	CALL iophys_ecrit('d_asig_death2',1,'d_asig_death2','m',d_asig_death2)
2163	CALL iophys_ecrit('d_asig_bnd2',1,'d_asig_bnd2','m',d_asig_bnd2)
2164	ENDIF ! (.not.phys_sub)
2165	#endif
2166	ENDIF ! (iflag_wk_pop_dyn >= 3)
2167	! Limitation de sigmaw
2168
2169	! cc nrlmd
2170	! DO i=1,klon
2171	! IF (OK_qx_qw(i)) THEN
2172	! IF (sigmaw(i).GE.sigmaw_max) sigmaw(i)=sigmaw_max
2173	! ENDIF
2174	! ENDDO
2175	! cc
2176
2177	!jyg<
2178	IF (iflag_wk_pop_dyn >= 1) THEN
2179	DO i = 1, klon
2180	kill_wake(i) = ((wape(i)>=wape2(i)) .AND. (wape2(i)<=wapecut)) .OR. (ktopw(i)<=2) .OR. &
2181	.NOT. ok_qx_qw(i) .OR. (wdens(i) < wdensthreshold)
2182	!! .NOT. ok_qx_qw(i) .OR. (wdens(i) < 2.*wdensmin)
2183	ENDDO
2184	ELSE ! (iflag_wk_pop_dyn >= 1)
2185	DO i = 1, klon
2186	kill_wake(i) = ((wape(i)>=wape2(i)) .AND. (wape2(i)<=wapecut)) .OR. (ktopw(i)<=2) .OR. &
2187	.NOT. ok_qx_qw(i)
2188	ENDDO
2189	ENDIF ! (iflag_wk_pop_dyn >= 1)
2190	!>jyg
2191
2192	DO k = 1, klev
2193	DO i = 1, klon
2194	!!jyg IF (((wape(i)>=wape2(i)) .AND. (wape2(i)<=wapecut)) .OR. (ktopw(i)<=2) .OR. &
2195	!!jyg .NOT. ok_qx_qw(i)) THEN
2196	IF (kill_wake(i)) THEN
2197	! cc
2198	dtls(i, k) = 0.
2199	dqls(i, k) = 0.
2200	deltatw(i, k) = 0.
2201	deltaqw(i, k) = 0.
2202	d_deltatw2(i,k) = -deltatw0(i,k)
2203	d_deltaqw2(i,k) = -deltaqw0(i,k)
2204	END IF ! (kill_wake(i))
2205	END DO
2206	END DO
2207
2208	DO i = 1, klon
2209	!!jyg IF (((wape(i)>=wape2(i)) .AND. (wape2(i)<=wapecut)) .OR. (ktopw(i)<=2) .OR. &
2210	!!jyg .NOT. ok_qx_qw(i)) THEN
2211	IF (kill_wake(i)) THEN
2212	ktopw(i) = 0
2213	wape(i) = 0.
2214	cstar(i) = 0.
2215	!!jyg Outside subroutine "Wake" hw, wdens sigmaw and asigmaw are zero when there are no wakes
2216	!! hw(i) = hwmin !jyg
2217	!! sigmaw(i) = sigmad !jyg
2218	hw(i) = 0. !jyg
2219	fip(i) = 0.
2220	!
2221	!! sigmaw(i) = 0. !jyg
2222	sigmaw_targ = 0.
2223	d_sig_bnd2(i) = d_sig_bnd2(i) + sigmaw_targ - sigmaw(i)
2224	!! d_sigmaw2(i) = d_sigmaw2(i) + sigmaw_targ - sigmaw(i)
2225	d_sigmaw2(i) = sigmaw_targ - sigmaw_in(i) ! _in = correction jyg 20220124
2226	sigmaw(i) = sigmaw_targ
2227	!
2228	IF (iflag_wk_pop_dyn >= 3) THEN
2229	sigmaw_targ = 0.
2230	d_asig_bnd2(i) = d_asig_bnd2(i) + sigmaw_targ - asigmaw(i)
2231	!! d_sigmaw2(i) = d_sigmaw2(i) + sigmaw_targ - sigmaw(i)
2232	d_asigmaw2(i) = sigmaw_targ - asigmaw_in(i) ! _in = correction jyg 20220124
2233	asigmaw(i) = sigmaw_targ
2234	ELSE
2235	asigmaw(i) = 0.
2236	ENDIF ! (iflag_wk_pop_dyn >= 3)
2237	!
2238	IF (iflag_wk_pop_dyn >= 1) THEN
2239	!! awdens(i) = 0.
2240	!! wdens(i) = 0.
2241	wdens_targ = 0.
2242	d_dens_bnd2(i) = d_dens_bnd2(i) + wdens_targ - wdens(i)
2243	!! d_wdens2(i) = wdens_targ - wdens(i)
2244	d_wdens2(i) = wdens_targ - wdens_in(i) ! jyg 20220916
2245	wdens(i) = wdens_targ
2246	wdens_targ = 0.
2247	!!jyg: bug fix : the d_adens_bnd2 computation must be before the update of awdens.
2248	IF (iflag_wk_pop_dyn >= 2) THEN
2249	d_adens_bnd2(i) = d_adens_bnd2(i) + wdens_targ - awdens(i)
2250	ENDIF ! (iflag_wk_pop_dyn >= 2)
2251	!! d_awdens2(i) = wdens_targ - awdens(i)
2252	d_awdens2(i) = wdens_targ - awdens_in(i) ! jyg 20220916
2253	awdens(i) = wdens_targ
2254	!! IF (iflag_wk_pop_dyn == 2) THEN
2255	!! d_adens_bnd2(i) = d_adens_bnd2(i) + wdens_targ - awdens(i)
2256	!! ENDIF ! (iflag_wk_pop_dyn == 2)
2257	ENDIF ! (iflag_wk_pop_dyn >= 1)
2258	ELSE ! (kill_wake(i))
2259	wape(i) = wape2(i)
2260	cstar(i) = cstar2(i)
2261	END IF ! (kill_wake(i))
2262	! c print*,'wape wape2 ktopw OK_qx_qw =',
2263	! c $ wape(i),wape2(i),ktopw(i),OK_qx_qw(i)
2264	END DO
2265
2266	IF (prt_level>=10) THEN
2267	PRINT *, 'wake-6, wape wape2 ktopw OK_qx_qw =', &
2268	wape(igout),wape2(igout),ktopw(igout),OK_qx_qw(igout)
2269	ENDIF
2270	#ifdef IOPHYS_WK
2271	IF (.not.phys_sub) CALL iophys_ecrit('wape_c',1,'wape_c','J/kg',wape)
2272	#endif
2273
2274
2275	! -----------------------------------------------------------------
2276	! Get back to tendencies per second
2277
2278	DO k = 1, klev
2279	DO i = 1, klon
2280
2281	! cc nrlmd IF ( wk_adv(i) .AND. k .LE. kupper(i)) THEN
2282	!jyg<
2283	!! IF (ok_qx_qw(i) .AND. k<=kupper(i)) THEN
2284	IF (ok_qx_qw(i)) THEN
2285	!>jyg
2286	! cc
2287	dtls(i, k) = dtls(i, k)/dtime
2288	dqls(i, k) = dqls(i, k)/dtime
2289	d_deltatw2(i, k) = d_deltatw2(i, k)/dtime
2290	d_deltaqw2(i, k) = d_deltaqw2(i, k)/dtime
2291	d_deltat_gw(i, k) = d_deltat_gw(i, k)/dtime
2292	! c print*,'k,dqls,omg,entr,detr',k,dqls(i,k),omg(i,k),entr(i,k)
2293	! c $ ,death_rate(i)*sigmaw(i)
2294	END IF
2295	END DO
2296	END DO
2297	!jyg<
2298	IF (iflag_wk_pop_dyn >= 1) THEN
2299	DO i = 1, klon
2300	IF (ok_qx_qw(i)) THEN
2301	d_sig_gen2(i) = d_sig_gen2(i)/dtime
2302	d_sig_death2(i) = d_sig_death2(i)/dtime
2303	d_sig_col2(i) = d_sig_col2(i)/dtime
2304	d_sig_spread2(i) = d_sig_spread2(i)/dtime
2305	d_sig_bnd2(i) = d_sig_bnd2(i)/dtime
2306	d_sigmaw2(i) = d_sigmaw2(i)/dtime
2307	!
2308	d_dens_gen2(i) = d_dens_gen2(i)/dtime
2309	d_dens_death2(i) = d_dens_death2(i)/dtime
2310	d_dens_col2(i) = d_dens_col2(i)/dtime
2311	d_dens_bnd2(i) = d_dens_bnd2(i)/dtime
2312	d_awdens2(i) = d_awdens2(i)/dtime
2313	d_wdens2(i) = d_wdens2(i)/dtime
2314	ENDIF
2315	ENDDO
2316	IF (iflag_wk_pop_dyn >= 2) THEN
2317	DO i = 1, klon
2318	IF (ok_qx_qw(i)) THEN
2319	d_adens_death2(i) = d_adens_death2(i)/dtime
2320	d_adens_icol2(i) = d_adens_icol2(i)/dtime
2321	d_adens_acol2(i) = d_adens_acol2(i)/dtime
2322	d_adens_bnd2(i) = d_adens_bnd2(i)/dtime
2323	ENDIF
2324	ENDDO
2325	IF (iflag_wk_pop_dyn == 3) THEN
2326	DO i = 1, klon
2327	IF (ok_qx_qw(i)) THEN
2328	d_asig_death2(i) = d_asig_death2(i)/dtime
2329	d_asig_iicol2(i) = d_asig_iicol2(i)/dtime
2330	d_asig_aicol2(i) = d_asig_aicol2(i)/dtime
2331	d_asig_spread2(i) = d_asig_spread2(i)/dtime
2332	d_asig_bnd2(i) = d_asig_bnd2(i)/dtime
2333	ENDIF
2334	ENDDO
2335	ENDIF ! (iflag_wk_pop_dyn == 3)
2336	ENDIF ! (iflag_wk_pop_dyn >= 2)
2337	ENDIF ! (iflag_wk_pop_dyn >= 1)
2338
2339	!>jyg
2340
2341	RETURN
2342	END SUBROUTINE wake
2343
2344	SUBROUTINE wake_vec_modulation(nlon, nl, wk_adv, epsilon_loc, qb, d_qb, deltaqw, &
2345	d_deltaqw, sigmaw, d_sigmaw, alpha)
2346	! ------------------------------------------------------
2347	! Dtermination du coefficient alpha tel que les tendances
2348	! corriges alpha*d_G, pour toutes les grandeurs G, correspondent
2349	! a une humidite positive dans la zone (x) et dans la zone (w).
2350	! ------------------------------------------------------
2351	IMPLICIT NONE
2352
2353	! Input
2354	REAL qb(nlon, nl), d_qb(nlon, nl)
2355	REAL deltaqw(nlon, nl), d_deltaqw(nlon, nl)
2356	REAL sigmaw(nlon), d_sigmaw(nlon)
2357	LOGICAL wk_adv(nlon)
2358	INTEGER nl, nlon
2359	! Output
2360	REAL alpha(nlon)
2361	! Internal variables
2362	REAL zeta(nlon, nl)
2363	REAL alpha1(nlon)
2364	REAL x, a, b, c, discrim
2365	REAL epsilon_loc
2366	INTEGER i,k
2367
2368	DO k = 1, nl
2369	DO i = 1, nlon
2370	IF (wk_adv(i)) THEN
2371	IF ((deltaqw(i,k)+d_deltaqw(i,k))>=0.) THEN
2372	zeta(i, k) = 0.
2373	ELSE
2374	zeta(i, k) = 1.
2375	END IF
2376	END IF
2377	END DO
2378	DO i = 1, nlon
2379	IF (wk_adv(i)) THEN
2380	x = qb(i, k) + (zeta(i,k)-sigmaw(i))*deltaqw(i, k) + d_qb(i, k) + &
2381	(zeta(i,k)-sigmaw(i))d_deltaqw(i, k) - d_sigmaw(i) &
2382	(deltaqw(i,k)+d_deltaqw(i,k))
2383	a = -d_sigmaw(i)*d_deltaqw(i, k)
2384	b = d_qb(i, k) + (zeta(i,k)-sigmaw(i))*d_deltaqw(i, k) - &
2385	deltaqw(i, k)*d_sigmaw(i)
2386	c = qb(i, k) + (zeta(i,k)-sigmaw(i))*deltaqw(i, k) + epsilon_loc
2387	discrim = bb - 4.a*c
2388	! print*, 'x, a, b, c, discrim', x, a, b, c, discrim
2389	IF (a+b>=0.) THEN !! Condition suffisante pour la positivite de ovap
2390	alpha1(i) = 1.
2391	ELSE
2392	IF (x>=0.) THEN
2393	alpha1(i) = 1.
2394	ELSE
2395	IF (a>0.) THEN
2396	alpha1(i) = 0.9min( (2.c)/(-b+sqrt(discrim)), &
2397	(-b+sqrt(discrim))/(2.*a) )
2398	ELSE IF (a==0.) THEN
2399	alpha1(i) = 0.9*(-c/b)
2400	ELSE
2401	! print*,'a,b,c discrim',a,b,c discrim
2402	alpha1(i) = 0.9max( (2.c)/(-b+sqrt(discrim)), &
2403	(-b+sqrt(discrim))/(2.*a))
2404	END IF
2405	END IF
2406	END IF
2407	alpha(i) = min(alpha(i), alpha1(i))
2408	END IF
2409	END DO
2410	END DO
2411
2412	RETURN
2413	END SUBROUTINE wake_vec_modulation
2414
2415
2416
2417	SUBROUTINE pkupper (klon, klev, ptop, ph, p, pupper, kupper, &
2418	dth, hw_, rho, delta_t_min, &
2419	ktop, wk_adv, h_zzz, ptop1, ktop1)
2420
2421	USE lmdz_wake_ini , ONLY : wk_pupper
2422	USE lmdz_wake_ini , ONLY : RG
2423	USE lmdz_wake_ini , ONLY : hwmin
2424
2425	IMPLICIT NONE
2426
2427	INTEGER, INTENT(IN) :: klon,klev
2428	REAL, DIMENSION (klon,klev+1) , INTENT(IN) :: ph, p
2429	REAL, DIMENSION (klon,klev+1) , INTENT(IN) :: rho
2430	LOGICAL, DIMENSION (klon) , INTENT(IN) :: wk_adv
2431	REAL, DIMENSION (klon,klev+1) , INTENT(IN) :: dth
2432	REAL, INTENT(IN) :: delta_t_min
2433
2434	REAL, DIMENSION (klon) , INTENT(OUT) :: hw_
2435	REAL, DIMENSION (klon) , INTENT(OUT) :: ptop
2436	INTEGER, DIMENSION (klon) , INTENT(OUT) :: Ktop
2437	REAL, DIMENSION (klon) , INTENT(OUT) :: pupper
2438	INTEGER, DIMENSION (klon) , INTENT(OUT) :: kupper
2439	REAL, DIMENSION (klon) , INTENT(OUT) :: h_zzz !!
2440	REAL, DIMENSION (klon) , INTENT(OUT) :: Ptop1 !!
2441	INTEGER, DIMENSION (klon) , INTENT(OUT) :: ktop1 !!
2442
2443	INTEGER :: i,k
2444
2445	REAL, DIMENSION (klon) :: dthmin
2446	REAL, DIMENSION (klon) :: ptop_provis,ptop_new
2447	REAL, DIMENSION (klon) :: z, dz
2448	REAL, DIMENSION (klon) :: sum_dth
2449
2450	INTEGER, DIMENSION (klon) :: k_ptop_provis
2451	REAL, DIMENSION (klon) :: omega !!
2452	REAL, DIMENSION (klon,klev+1) :: int_dth !!
2453	REAL, DIMENSION (klon,klev+1) :: dzz !!
2454	REAL, DIMENSION (klon,klev+1) :: zzz !!
2455	REAL, DIMENSION (klon) :: frac_int_dth !!
2456	REAL :: epsil !!
2457	REAL :: ddd!!
2458
2459	LOGICAL :: new_ptop
2460
2461	INTEGER, SAVE :: ipas=0
2462
2463
2464
2465	!INTEGER, SAVE :: compte=0
2466
2467	! LJYF : a priori z, dz sum_dth sont aussi des variables internes
2468	! Les eliminer apres verification convergence numerique
2469
2470	!compte=compte+1
2471	!print*,'compte=',compte
2472
2473	new_ptop=.false.
2474
2475
2476	! Determine Ptop from buoyancy integral
2477	! ---------------------------------------
2478
2479	! - 1/ Pressure of the level where dth changes sign.
2480	!print*,'WAKE LJYF'
2481
2482	DO i = 1, klon
2483	ptop_provis(i) = ph(i, 1)
2484	k_ptop_provis(i) = 1
2485	END DO
2486
2487	DO k = 2, klev
2488	DO i = 1, klon
2489	IF (wk_adv(i) .AND. ptop_provis(i)==ph(i,1) .AND. &
2490	! LJYF changer : dth(i,k)>=-delta_t_min .AND. dth(i,k-1)<-delta_t_min) THEN
2491	dth(i,k)>-delta_t_min .AND. dth(i,k-1)<-delta_t_min) THEN
2492	ptop_provis(i) = ((dth(i,k)+delta_t_min)*p(i,k-1) - &
2493	(dth(i,k-1)+delta_t_min)*p(i,k))/(dth(i,k)-dth(i,k-1))
2494	k_ptop_provis(i) = k
2495	END IF
2496	END DO
2497	END DO
2498
2499	! - 2/ dth integral
2500
2501	DO i = 1, klon
2502	IF (wk_adv(i)) THEN !!! nrlmd
2503	sum_dth(i) = 0.
2504	dthmin(i) = -delta_t_min
2505	z(i) = 0.
2506	END IF
2507	END DO
2508
2509	DO k = 1, klev
2510	DO i = 1, klon
2511	IF (wk_adv(i)) THEN
2512	dz(i) = -(amax1(ph(i,k+1),ptop_provis(i))-ph(i,k))/(rho(i,k)*RG)
2513	IF (dz(i)>0) THEN
2514	z(i) = z(i) + dz(i)
2515	sum_dth(i) = sum_dth(i) + dth(i, k)*dz(i)
2516	dthmin(i) = amin1(dthmin(i), dth(i,k))
2517	END IF
2518	END IF
2519	END DO
2520	END DO
2521
2522	! - 3/ height of triangle with area= sum_dth and base = dthmin
2523
2524	DO i = 1, klon
2525	IF (wk_adv(i)) THEN
2526	hw_(i) = 2.*sum_dth(i)/amin1(dthmin(i), -0.5)
2527	hw_(i) = amax1(hwmin, hw_(i))
2528	END IF
2529	END DO
2530
2531	! - 4/ now, get Ptop
2532
2533	DO i = 1, klon
2534	IF (wk_adv(i)) THEN !!! nrlmd
2535	ktop(i) = 0
2536	z(i) = 0.
2537	END IF
2538	END DO
2539
2540	DO k = 1, klev
2541	DO i = 1, klon
2542	IF (wk_adv(i)) THEN
2543	dz(i) = amin1(-(ph(i,k+1)-ph(i,k))/(rho(i,k)*RG), hw_(i)-z(i))
2544	IF (dz(i)>0) THEN
2545	z(i) = z(i) + dz(i)
2546	ptop(i) = ph(i, k) - rho(i, k)RGdz(i)
2547	ktop(i) = k
2548	END IF
2549	END IF
2550	END DO
2551	END DO
2552
2553	! 4.5/Correct ktop and ptop
2554
2555	DO i = 1, klon
2556	ptop_new(i) = ptop(i)
2557	END DO
2558
2559	DO k = klev, 2, -1
2560	DO i = 1, klon
2561	! IM v3JYG; IF (k .GE. ktop(i)
2562	IF (wk_adv(i) .AND. k<=ktop(i) .AND. ptop_new(i)==ptop(i) .AND. &
2563	! LJYF changer : dth(i,k)>=-delta_t_min .AND. dth(i,k-1)<-delta_t_min) THEN
2564	dth(i,k)>=-delta_t_min .AND. dth(i,k-1)<-delta_t_min) THEN
2565	ptop_new(i) = ((dth(i,k)+delta_t_min)*p(i,k-1) - &
2566	(dth(i,k-1)+delta_t_min)*p(i,k))/(dth(i,k)-dth(i,k-1))
2567	END IF
2568	END DO
2569	END DO
2570
2571
2572	DO i = 1, klon
2573	ptop(i) = ptop_new(i)
2574	END DO
2575
2576	DO k = klev, 1, -1
2577	DO i = 1, klon
2578	IF (wk_adv(i)) THEN !!! nrlmd
2579	IF (ph(i,k+1)<ptop(i)) ktop(i) = k
2580	END IF
2581	END DO
2582	END DO
2583
2584	! IF (prt_level>=10) THEN
2585	! PRINT *, 'wake-3, ktop(igout), kupper(igout) ', ktop(igout), kupper(igout)
2586	! ENDIF
2587
2588	! -----------------------------------------------------------------------
2589	! nouveau calcul de hw et ptop
2590	! -----------------------------------------------------------------------
2591	if (new_ptop) then
2592
2593	epsil = 0.05 ! 5 pour cent
2594	! epsil = 0.20
2595
2596	DO i = 1, klon
2597	IF (wk_adv(i)) THEN
2598	int_dth(i,1) = 0.
2599	END IF
2600	END DO
2601
2602
2603
2604	DO K = 2, klev+1
2605	Do i = 1, klon
2606	IF (wk_adv(i)) THEN
2607	if (k<=k_ptop_provis(i)) then
2608	ddd=dth(i,k-1)*(ph(i,k-1) - min(ptop_provis(i),ph(i,k)))
2609	else
2610	ddd=0.
2611	endif
2612	int_dth(i,k) = int_dth(i,k-1) + ddd
2613	END IF
2614	END DO
2615	END DO
2616	! print*, 'xxx, int_dth', (k,int_dth(1,k),k=1,klev)
2617	! print*, 'xxx, k_ptop_provis', k_ptop_provis(1)
2618
2619
2620	DO i=1,klon
2621	IF (wk_adv(i)) THEN
2622	frac_int_dth(i)=(1.-epsil)*int_dth(i,k_ptop_provis(i))
2623	ENDIF
2624	ENDDO
2625	DO k = 1,klev
2626	DO i =1, klon
2627	! print*,ipas,'yyy ',k,int_dth(i,k),frac_int_dth(i)
2628	IF (wk_adv(i) .AND. int_dth(i,k)>=frac_int_dth(i)) THEN
2629	ktop1(i) = min(k, k_ptop_provis(i))
2630	!print*,ipas,'yyy ktop1= ',ktop1
2631	END if
2632	END DO
2633	END DO
2634	!print*, 'LAMINE'
2635
2636	DO i = 1, klon
2637	IF (wk_adv(i)) THEN
2638	!print*, ipas,'xxx1, int_dth(i,ktop1(i)), frac_int_dth(i), int_dth(i,ktop1(i)+1) ',ktop1
2639	ddd=int_dth(i,ktop1(i)+1)-int_dth(i,ktop1(i))
2640	if (ddd==0.) then
2641	omega(i)=0.
2642	else
2643	omega(i) = (frac_int_dth(i) - int_dth(i,ktop1(i)))/ddd
2644	endif
2645	print*,'OMEGA ',omega(i)
2646	END IF
2647	END DO
2648
2649	print*, 'xxx'
2650	DO i = 1, klon
2651	IF (wk_adv(i)) THEN
2652	! print*, 'xxx, int_dth(i,ktop1(i)), frac_int_dth(i), int_dth(i,ktop1(i)+1) ', &
2653	! int_dth(i,ktop1(i)), frac_int_dth(i), int_dth(i,ktop1(i)+1)
2654	! print*, 'xxx, omega(i), ph(i,ktop1(i)), ph(i,ktop1(i)+1) ', &
2655	!e omega(i), ph(i,ktop1(i)), ph(i,ktop1(i)+1)
2656	ptop1(i) = min((1 - omega(i))ph(i,ktop1(i)) + omega(i)ph(i,ktop1(i)+1), ph(i,1))
2657	END IF
2658	END DO
2659
2660	DO i=1, klon
2661	IF (wk_adv(i)) THEN
2662	zzz(i, 1) = 0
2663	END IF
2664	END DO
2665	DO k = 1, klev
2666	DO i = 1, klon
2667	IF (wk_adv(i)) THEN
2668	dzz(i,k) = (ph(i,k) - ph(i,k+1))/(rho(i,k)*RG)
2669	zzz(i,k+1) = zzz(i,k) + dzz(i,k)
2670	END IF
2671	END DO
2672	END DO
2673
2674	DO i =1, klon
2675	IF (wk_adv(i)) THEN
2676	h_zzz(i) = max((1- omega(i))zzz(i,ktop1(i)) + omega(i)zzz(i,ktop1(i)+1), hwmin)
2677	END IF
2678	END DO
2679
2680	endif
2681
2682	kupper = 0
2683
2684	IF (wk_pupper<1.) THEN
2685	! Choose an integration bound well above wake top
2686	! -----------------------------------------------------------------
2687
2688	! Pupper = 50000. ! melting level
2689	! Pupper = 60000.
2690	! Pupper = 80000. ! essais pour case_e
2691	DO i = 1, klon
2692	! pupper(i) = 0.6*ph(i, 1)
2693	pupper(i) = wk_pupper*ph(i, 1)
2694	pupper(i) = max(pupper(i), 45000.)
2695	! cc Pupper(i) = 60000.
2696	END DO
2697
2698	ELSE
2699
2700	DO i=1, klon
2701	! pupper(i) = wk_pupperptop(i)+(1.-wk_pupper)ph(i, 1)
2702	pupper(i) = min( wk_pupperptop(i)+(1.-wk_pupper)ph(i, 1) , ptop(i)-5000.)
2703	END DO
2704	END IF
2705
2706	! -5/ Determination de kupper
2707
2708	DO k = klev, 1, -1
2709	DO i = 1, klon
2710	IF (ph(i,k+1)<pupper(i)) kupper(i) = k
2711	END DO
2712	END DO
2713
2714	! On evite kupper = 1 et kupper = klev
2715	DO i = 1, klon
2716	kupper(i) = max(kupper(i), 2)
2717	kupper(i) = min(kupper(i), klev-1)
2718	END DO
2719	!---------- FIN nouveau calcul hw et ptop -------------------------------------
2720
2721	RETURN
2722	END SUBROUTINE pkupper
2723
2724
2725	SUBROUTINE wake_popdyn_1(klon, klev, dtime, cstar, tau_wk_inv, wgen, wdens, awdens, sigmaw, &
2726	wdensmin, &
2727	dtimesub, gfl, rad_wk, f_shear, drdt_pos, &
2728	d_awdens, d_wdens, d_sigmaw, &
2729	iflag_wk_act, wk_adv, cin, wape, &
2730	drdt, &
2731	d_dens_gen, d_dens_death, d_dens_col, d_dens_bnd, &
2732	d_sig_gen, d_sig_death, d_sig_col, d_sig_spread, d_sig_bnd, &
2733	d_wdens_targ, d_sigmaw_targ)
2734
2735
2736	USE lmdz_wake_ini , ONLY : wake_ini
2737	USE lmdz_wake_ini , ONLY : prt_level,RG
2738	USE lmdz_wake_ini , ONLY : stark, wdens_ref
2739	USE lmdz_wake_ini , ONLY : tau_cv, rzero, aa0
2740	!! USE lmdz_wake_ini , ONLY : iflag_wk_pop_dyn, wdensmin
2741	USE lmdz_wake_ini , ONLY : iflag_wk_pop_dyn
2742	USE lmdz_wake_ini , ONLY : sigmad, cstart, sigmaw_max
2743
2744	IMPLICIT NONE
2745
2746	INTEGER, INTENT(IN) :: klon,klev
2747	LOGICAL, DIMENSION (klon), INTENT(IN) :: wk_adv
2748	REAL, INTENT(IN) :: dtime
2749	REAL, INTENT(IN) :: dtimesub
2750	REAL, INTENT(IN) :: wdensmin
2751	REAL, DIMENSION (klon), INTENT(IN) :: wgen
2752	REAL, DIMENSION (klon), INTENT(IN) :: wdens
2753	REAL, DIMENSION (klon), INTENT(IN) :: awdens
2754	REAL, DIMENSION (klon), INTENT(IN) :: sigmaw
2755	REAL, DIMENSION (klon), INTENT(IN) :: cstar
2756	REAL, DIMENSION (klon), INTENT(IN) :: cin, wape
2757	REAL, DIMENSION (klon), INTENT(IN) :: f_shear
2758	INTEGER, INTENT(IN) :: iflag_wk_act
2759
2760
2761	!
2762
2763	! Tendencies of state variables (2 is appended to the names of fields which are the cumul of fields
2764	! computed at each sub-timestep; e.g. d_wdens2 is the cumul of d_wdens)
2765	REAL, DIMENSION (klon), INTENT(OUT) :: rad_wk
2766	REAL, DIMENSION (klon), INTENT(OUT) :: gfl
2767	REAL, DIMENSION (klon), INTENT(OUT) :: d_sigmaw, d_awdens, d_wdens
2768	REAL, DIMENSION (klon), INTENT(OUT) :: drdt
2769	! Some components of the tendencies of state variables
2770	REAL, DIMENSION (klon), INTENT(OUT) :: d_sig_gen, d_sig_death, d_sig_col, d_sig_bnd
2771	REAL, DIMENSION (klon), INTENT(OUT) :: d_sig_spread
2772	REAL, DIMENSION (klon), INTENT(OUT) :: d_dens_gen, d_dens_death, d_dens_col, d_dens_bnd
2773	REAL, INTENT(OUT) :: d_wdens_targ, d_sigmaw_targ
2774
2775
2776	REAL :: delta_t_min
2777	INTEGER :: nsub
2778	INTEGER :: i, k
2779	REAL :: wdens0
2780	! IM 080208
2781	LOGICAL, DIMENSION (klon) :: gwake
2782
2783	! Variables liees a la dynamique de population
2784	REAL, DIMENSION(klon) :: act
2785	REAL, DIMENSION(klon) :: tau_wk_inv
2786	REAL, DIMENSION(klon) :: wape1_act, wape2_act
2787	LOGICAL, DIMENSION (klon) :: kill_wake
2788	REAL :: drdt_pos
2789	REAL :: tau_wk_inv_min
2790
2791
2792
2793	IF (iflag_wk_act == 0) THEN
2794	act(:) = 0.
2795	ELSEIF (iflag_wk_act == 1) THEN
2796	act(:) = 1.
2797	ELSEIF (iflag_wk_act ==2) THEN
2798	DO i = 1, klon
2799	IF (wk_adv(i)) THEN
2800	wape1_act(i) = abs(cin(i))
2801	wape2_act(i) = 2.*wape1_act(i) + 1.
2802	act(i) = min(1., max(0., (wape(i)-wape1_act(i)) / (wape2_act(i)-wape1_act(i)) ))
2803	ENDIF ! (wk_adv(i))
2804	ENDDO
2805	ENDIF ! (iflag_wk_act ==2)
2806
2807	DO i = 1, klon
2808	IF (wk_adv(i)) THEN
2809	rad_wk(i) = max( sqrt(sigmaw(i)/(3.14*wdens(i))) , rzero)
2810	gfl(i) = 2.sqrt(3.14wdens(i)*sigmaw(i))
2811	END IF
2812	END DO
2813
2814	DO i = 1, klon
2815	IF (wk_adv(i)) THEN
2816	!! tau_wk(i) = max(rad_wk(i)/(3.cstar(i))((cstar(i)/cstart)**1.5 - 1), 100.)
2817	tau_wk_inv(i) = max( (3.cstar(i))/(rad_wk(i)((cstar(i)/cstart)**1.5 - 1)), 0.)
2818	tau_wk_inv_min = min(tau_wk_inv(i), 1./dtimesub)
2819	drdt(i) = (cstar(i) - wgen(i)*(sigmaw(i)/wdens(i)-aa0)/gfl(i)) / &
2820	(1 + 2f_shear(i)(2.sigmaw(i)-aa0wdens(i)) - 2.*sigmaw(i))
2821	!! (1 - 2sigmaw(i)(1.-f_shear(i)))
2822	drdt_pos=max(drdt(i),0.)
2823
2824	!! d_wdens(i) = ( wgen(i)(1.+2.(sigmaw(i)-sigmad)) &
2825	!! - wdens(i)*tau_wk_inv_min &
2826	!! - 2.gfl(i)wdens(i)Cstar(i) )dtimesub
2827	!jyg+mlt<
2828	d_awdens(i) = ( wgen(i) - (1./tau_cv)(awdens(i) - act(i)wdens(i)) )*dtimesub
2829	d_dens_gen(i) = wgen(i)
2830	d_dens_death(i) = - (wdens(i)-awdens(i))*tau_wk_inv_min
2831	d_dens_col(i) = -2.wdens(i)gfl(i)*drdt_pos
2832	d_dens_gen(i) = d_dens_gen(i)*dtimesub
2833	d_dens_death(i) = d_dens_death(i)*dtimesub
2834	d_dens_col(i) = d_dens_col(i)*dtimesub
2835
2836	d_wdens(i) = d_dens_gen(i)+d_dens_death(i)+d_dens_col(i)
2837	!! d_wdens(i) = ( wgen(i) - (wdens(i)-awdens(i))*tau_wk_inv_min - &
2838	!! 2.wdens(i)gfl(i)drdt_pos )dtimesub
2839	!>jyg+mlt
2840	!
2841	!jyg<
2842	d_wdens_targ = max(d_wdens(i), wdensmin-wdens(i))
2843	!! d_dens_bnd(i) = d_dens_bnd(i) + d_wdens_targ - d_wdens(i)
2844	d_dens_bnd(i) = d_wdens_targ - d_wdens(i)
2845	d_wdens(i) = d_wdens_targ
2846	!! d_wdens(i) = max(d_wdens(i), wdensmin-wdens(i))
2847	!>jyg
2848
2849	!jyg+mlt<
2850	!! d_sigmaw(i) = ( (1.-2f_shear(i)sigmaw(i))(gfl(i)Cstar(i)+wgen(i)*sigmad/wdens(i)) &
2851	!! + 2.f_shear(i)wgen(i)sigmaw(i)*2/wdens(i) &
2852	!! - sigmaw(i)tau_wk_inv_min )dtimesub
2853	d_sig_gen(i) = wgen(i)*aa0
2854	d_sig_death(i) = - sigmaw(i)(1.-awdens(i)/wdens(i))tau_wk_inv_min
2855	!!
2856
2857	d_sig_col(i) = - 2f_shear(i)sigmaw(i)gfl(i)drdt_pos
2858	d_sig_col(i) = - 2f_shear(i)(2.sigmaw(i)-wdens(i)aa0)gfl(i)drdt_pos
2859	d_sig_spread(i) = gfl(i)*cstar(i)
2860	d_sig_gen(i) = d_sig_gen(i)*dtimesub
2861	d_sig_death(i) = d_sig_death(i)*dtimesub
2862	d_sig_col(i) = d_sig_col(i)*dtimesub
2863	d_sig_spread(i) = d_sig_spread(i)*dtimesub
2864	d_sigmaw(i) = d_sig_gen(i) + d_sig_death(i) + d_sig_col(i) + d_sig_spread(i)
2865	!>jyg+mlt
2866	!
2867	!jyg<
2868	d_sigmaw_targ = max(d_sigmaw(i), sigmad-sigmaw(i))
2869	!! d_sig_bnd(i) = d_sig_bnd(i) + d_sigmaw_targ - d_sigmaw(i)
2870	!! d_sig_bnd_provis(i) = d_sigmaw_targ - d_sigmaw(i)
2871	d_sig_bnd(i) = d_sigmaw_targ - d_sigmaw(i)
2872	d_sigmaw(i) = d_sigmaw_targ
2873	!! d_sigmaw(i) = max(d_sigmaw(i), sigmad-sigmaw(i))
2874	!>jyg
2875	ENDIF
2876	ENDDO
2877
2878	IF (prt_level >= 10) THEN
2879	print *,'wake, cstar(1), cstar(1)/cstart, rad_wk(1), tau_wk_inv(1), drdt(1) ', &
2880	cstar(1), cstar(1)/cstart, rad_wk(1), tau_wk_inv(1), drdt(1)
2881	print *,'wake, wdens(1), awdens(1), act(1), d_awdens(1) ', &
2882	wdens(1), awdens(1), act(1), d_awdens(1)
2883	print ,'wake, wgen, -(wdens-awdens)tau_wk_inv, -2.wdensgfl*drdt_pos, d_wdens ', &
2884	wgen(1), -(wdens(1)-awdens(1))tau_wk_inv(1), -2.wdens(1)gfl(1)drdt_pos, d_wdens(1)
2885	print *,'wake, d_sig_gen(1), d_sig_death(1), d_sig_col(1), d_sigmaw(1) ', &
2886	d_sig_gen(1), d_sig_death(1), d_sig_col(1), d_sigmaw(1)
2887	ENDIF
2888
2889	RETURN
2890	END SUBROUTINE wake_popdyn_1
2891
2892	SUBROUTINE wake_popdyn_2 ( klon, klev, wk_adv, dtimesub, wgen, &
2893	wdensmin, &
2894	sigmaw, wdens, awdens, & !! states variables
2895	gfl, cstar, cin, wape, rad_wk, &
2896	d_sigmaw, d_wdens, d_awdens, & !! tendences
2897	cont_fact, &
2898	d_sig_gen, d_sig_death, d_sig_col, d_sig_spread, d_sig_bnd, &
2899	d_dens_gen, d_dens_death, d_dens_col, d_dens_bnd, &
2900	d_adens_death, d_adens_icol, d_adens_acol, d_adens_bnd )
2901
2902
2903
2904	USE lmdz_wake_ini , ONLY : wake_ini
2905	USE lmdz_wake_ini , ONLY : prt_level,RG
2906	USE lmdz_wake_ini , ONLY : stark, wdens_ref
2907	USE lmdz_wake_ini , ONLY : tau_cv, rzero, aa0
2908	!! USE lmdz_wake_ini , ONLY : iflag_wk_pop_dyn, wdensmin
2909	USE lmdz_wake_ini , ONLY : iflag_wk_pop_dyn
2910	USE lmdz_wake_ini , ONLY : sigmad, cstart, sigmaw_max
2911
2912	IMPLICIT NONE
2913
2914	INTEGER, INTENT(IN) :: klon,klev
2915	LOGICAL, DIMENSION (klon), INTENT(IN) :: wk_adv
2916	REAL, INTENT(IN) :: dtimesub
2917	REAL, INTENT(IN) :: wdensmin
2918	REAL, DIMENSION (klon), INTENT(IN) :: wgen !! B = birth rate of wakes
2919	REAL, DIMENSION (klon), INTENT(INOUT) :: sigmaw !! sigma = fractional area of wakes
2920	REAL, DIMENSION (klon), INTENT(INOUT) :: wdens !! D = number of wakes per unit area
2921	REAL, DIMENSION (klon), INTENT(INOUT) :: awdens !! A = number of active wakes per unit area
2922	REAL, DIMENSION (klon), INTENT(IN) :: cstar !! C* = spreading velocity of wakes
2923	REAL, DIMENSION (klon), INTENT(IN) :: cin, wape ! RM : A Faire disparaitre
2924
2925	!
2926	REAL, DIMENSION (klon), INTENT(OUT) :: rad_wk !! r = wake radius
2927	REAL, DIMENSION (klon), INTENT(OUT) :: gfl !! Lg = gust front lenght per unit area
2928	REAL, DIMENSION (klon), INTENT(OUT) :: d_sigmaw, d_wdens, d_awdens
2929	REAL, DIMENSION (klon), INTENT(OUT) :: cont_fact !! RM facteur de contact = 2 pi * rad * C*
2930	! Some components of the tendencies of state variables
2931	REAL, DIMENSION (klon), INTENT(OUT) :: d_sig_gen, d_sig_death, d_sig_col, d_sig_spread, d_sig_bnd
2932	REAL, DIMENSION (klon), INTENT(OUT) :: d_dens_gen, d_dens_death, d_dens_col, d_dens_bnd
2933	REAL, DIMENSION (klon), INTENT(OUT) :: d_adens_death, d_adens_icol, d_adens_acol, d_adens_bnd
2934
2935
2936	!! internal variables
2937
2938	INTEGER :: i, k
2939	REAL, DIMENSION (klon) :: tau_wk_inv !! tau = life time of wakes
2940	REAL :: tau_wk_inv_min
2941	REAL, DIMENSION (klon) :: tau_prime !! tau_prime = life time of actives wakes
2942	REAL :: d_wdens_targ, d_sigmaw_targ
2943
2944
2945	!! Equations
2946	!! dD/dt = B - (D-A)/tau - f D^2
2947	!! dA/dt = B - A/tau_prime + f (D-A)^2 - f A^2
2948	!! dsigma/dt = B a0 - sigma/D (D-A)/tau + Lg C* - f (D-A)^2 (sigma/D-a0)
2949	!!
2950	!! f = 2 (B (a0-sigma/D) + Lg C*) / (2 (D-A)^2 (2 sigma/D-a0) + D (1-2 sigma))
2951
2952
2953	DO i = 1, klon
2954	IF (wk_adv(i)) THEN
2955	rad_wk(i) = max( sqrt(sigmaw(i)/(3.14*wdens(i))) , rzero)
2956	gfl(i) = 2.sqrt(3.14wdens(i)*sigmaw(i))
2957	END IF
2958	END DO
2959
2960
2961	DO i = 1, klon
2962	IF (wk_adv(i)) THEN
2963	!! tau_wk(i) = max(rad_wk(i)/(3.cstar(i))((cstar(i)/cstart)**1.5 - 1), 100.)
2964	tau_wk_inv(i) = max( (3.cstar(i))/(rad_wk(i)((cstar(i)/cstart)**1.5 - 1)), 0.)
2965	tau_wk_inv_min = min(tau_wk_inv(i), 1./dtimesub)
2966	tau_prime(i) = tau_cv
2967	!! cont_fact(i) = 2.(wgen(i)(aa0-sigmaw(i)/wdens(i)) + gfl(i)*cstar(i)) / &
2968	!! (2.(wdens(i)-awdens(i))2(2.sigmaw(i)/wdens(i) - aa0) + wdens(i)(1.-2.*sigmaw(i)))
2969	!! cont_fact(i) = 2.3.14rad_wk(i)*cstar(i) ! bug
2970	!! cont_fact(i) = 4.3.14rad_wk(i)*cstar(i)
2971	cont_fact(i) = 2.gfl(i)cstar(i)/wdens(i)
2972
2973	d_sig_gen(i) = wgen(i)*aa0
2974	d_sig_death(i) = - sigmaw(i)(1.-awdens(i)/wdens(i))tau_wk_inv_min
2975	d_sig_col(i) = - cont_fact(i)(wdens(i)-awdens(i))2(2.*sigmaw(i)/wdens(i)-aa0)
2976	d_sig_spread(i) = gfl(i)*cstar(i)
2977	!
2978	d_sig_gen(i) = d_sig_gen(i)*dtimesub
2979	d_sig_death(i) = d_sig_death(i)*dtimesub
2980	d_sig_col(i) = d_sig_col(i)*dtimesub
2981	d_sig_spread(i) = d_sig_spread(i)*dtimesub
2982	d_sigmaw(i) = d_sig_gen(i) + d_sig_death(i) + d_sig_col(i) + d_sig_spread(i)
2983
2984
2985	d_sigmaw_targ = max(d_sigmaw(i), sigmad-sigmaw(i))
2986	!! d_sig_bnd(i) = d_sig_bnd(i) + d_sigmaw_targ - d_sigmaw(i)
2987	!! d_sig_bnd_provis(i) = d_sigmaw_targ - d_sigmaw(i)
2988	d_sig_bnd(i) = d_sigmaw_targ - d_sigmaw(i)
2989	d_sigmaw(i) = d_sigmaw_targ
2990	!! d_sigmaw(i) = max(d_sigmaw(i), sigmad-sigmaw(i))
2991
2992
2993	d_dens_gen(i) = wgen(i)
2994	d_dens_death(i) = - (wdens(i)-awdens(i))*tau_wk_inv_min
2995	d_dens_col(i) = - cont_fact(i)wdens(i)*2
2996	!
2997	d_dens_gen(i) = d_dens_gen(i)*dtimesub
2998	d_dens_death(i) = d_dens_death(i)*dtimesub
2999	d_dens_col(i) = d_dens_col(i)*dtimesub
3000	d_wdens(i) = d_dens_gen(i) + d_dens_death(i) + d_dens_col(i)
3001
3002
3003	d_adens_death(i) = -awdens(i)/tau_prime(i)
3004	d_adens_icol(i) = cont_fact(i)(wdens(i)-awdens(i))*2
3005	d_adens_acol(i) = - cont_fact(i)awdens(i)*2
3006	!
3007	d_adens_death(i) = d_adens_death(i)*dtimesub
3008	d_adens_icol(i) = d_adens_icol(i)*dtimesub
3009	d_adens_acol(i) = d_adens_acol(i)*dtimesub
3010	d_awdens(i) = d_dens_gen(i) + d_adens_death(i) + d_adens_icol(i) + d_adens_acol(i)
3011
3012	!!
3013	d_wdens_targ = max(d_wdens(i), wdensmin-wdens(i))
3014	!! d_dens_bnd(i) = d_dens_bnd(i) + d_wdens_targ - d_wdens(i)
3015	d_dens_bnd(i) = d_wdens_targ - d_wdens(i)
3016	d_wdens(i) = d_wdens_targ
3017
3018	d_wdens_targ = min(max(d_awdens(i),-awdens(i)), wdens(i)-awdens(i))
3019	!! d_dens_bnd(i) = d_dens_bnd(i) + d_wdens_targ - d_wdens(i)
3020	d_adens_bnd(i) = d_wdens_targ - d_awdens(i)
3021	d_awdens(i) = d_wdens_targ
3022
3023
3024
3025	ENDIF
3026	ENDDO
3027
3028	IF (prt_level >= 10) THEN
3029	print *,'wake, cstar(1), cstar(1)/cstart, rad_wk(1), tau_wk_inv(1), cont_fact(1) ', &
3030	cstar(1), cstar(1)/cstart, rad_wk(1), tau_wk_inv(1), cont_fact(1)
3031	print *,'wake, wdens(1), awdens(1), d_awdens(1) ', &
3032	wdens(1), awdens(1), d_awdens(1)
3033	print *,'wake, d_sig_gen(1), d_sig_death(1), d_sig_col(1), d_sigmaw(1) ', &
3034	d_sig_gen(1), d_sig_death(1), d_sig_col(1), d_sigmaw(1)
3035	ENDIF
3036	sigmaw=sigmaw+d_sigmaw
3037	wdens=wdens+d_wdens
3038	awdens=awdens+d_awdens
3039
3040	RETURN
3041	END SUBROUTINE wake_popdyn_2
3042
3043	SUBROUTINE wake_popdyn_3 ( klon, klev, phys_sub, wk_adv, dtimesub, wgen, &
3044	wdensmin, &
3045	sigmaw, asigmaw, wdens, awdens, & !! state variables
3046	gfl, agfl, cstar, cin, wape, &
3047	rad_wk, arad_wk, irad_wk, &
3048	d_sigmaw, d_asigmaw, d_wdens, d_awdens, & !! tendencies
3049	d_sig_gen, d_sig_death, d_sig_col, d_sig_spread, d_sig_bnd, &
3050	d_asig_death, d_asig_aicol, d_asig_iicol, d_asig_spread, d_asig_bnd, &
3051	d_dens_gen, d_dens_death, d_dens_col, d_dens_bnd, &
3052	d_adens_death, d_adens_icol, d_adens_acol, d_adens_bnd )
3053
3054
3055
3056	USE lmdz_wake_ini , ONLY : wake_ini
3057	USE lmdz_wake_ini , ONLY : prt_level,RG
3058	USE lmdz_wake_ini , ONLY : stark, wdens_ref
3059	USE lmdz_wake_ini , ONLY : tau_cv, rzero, aa0
3060	!! USE lmdz_wake_ini , ONLY : iflag_wk_pop_dyn, wdensmin
3061	USE lmdz_wake_ini , ONLY : iflag_wk_pop_dyn
3062	USE lmdz_wake_ini , ONLY : sigmad, cstart, sigmaw_max
3063	USE lmdz_wake_ini , ONLY : smallestreal
3064
3065	IMPLICIT NONE
3066
3067	INTEGER, INTENT(IN) :: klon,klev
3068	LOGICAL, INTENT(IN) :: phys_sub
3069	LOGICAL, DIMENSION (klon), INTENT(IN) :: wk_adv
3070	REAL, INTENT(IN) :: dtimesub
3071	REAL, INTENT(IN) :: wdensmin
3072	REAL, DIMENSION (klon), INTENT(IN) :: wgen !! B = birth rate of wakes
3073	REAL, DIMENSION (klon), INTENT(INOUT) :: sigmaw !! sigma = fractional area of wakes
3074	REAL, DIMENSION (klon), INTENT(INOUT) :: asigmaw !! sigma = fractional area of active wakes
3075	REAL, DIMENSION (klon), INTENT(INOUT) :: wdens !! D = number of wakes per unit area
3076	REAL, DIMENSION (klon), INTENT(INOUT) :: awdens !! A = number of active wakes per unit area
3077	REAL, DIMENSION (klon), INTENT(IN) :: cstar !! C* = spreading velocity of wakes
3078	REAL, DIMENSION (klon), INTENT(IN) :: cin, wape ! RM : A Faire disparaitre
3079
3080	!
3081	REAL, DIMENSION (klon), INTENT(OUT) :: rad_wk !! r = mean wake radius
3082	REAL, DIMENSION (klon), INTENT(OUT) :: arad_wk !! r_A = wake radius of active wakes
3083	REAL, DIMENSION (klon), INTENT(OUT) :: irad_wk !! r_I = wake radius of inactive wakes
3084	REAL, DIMENSION (klon), INTENT(OUT) :: gfl !! Lg = gust front length per unit area
3085	REAL, DIMENSION (klon), INTENT(OUT) :: agfl !! LgA = gust front length of active wakes
3086	!! per unit area
3087	REAL, DIMENSION (klon), INTENT(OUT) :: d_sigmaw, d_asigmaw, d_wdens, d_awdens
3088	! Some components of the tendencies of state variables
3089	REAL, DIMENSION (klon), INTENT(OUT) :: d_sig_gen, d_sig_death, d_sig_col, d_sig_spread, d_sig_bnd
3090	REAL, DIMENSION (klon), INTENT(OUT) :: d_asig_death, d_asig_aicol, d_asig_iicol, d_asig_spread, d_asig_bnd
3091	REAL, DIMENSION (klon), INTENT(OUT) :: d_dens_gen, d_dens_death, d_dens_col, d_dens_bnd
3092	REAL, DIMENSION (klon), INTENT(OUT) :: d_adens_death, d_adens_acol, d_adens_icol, d_adens_bnd
3093
3094
3095	!! internal variables
3096
3097	INTEGER :: i, k
3098	REAL, DIMENSION (klon) :: iwdens, isigmaw !! inactive wake density and fractional area
3099	!! REAL, DIMENSION (klon) :: d_arad, d_irad
3100	REAL, DIMENSION (klon) :: igfl !! LgI = gust front length of inactive wakes
3101	!! per unit area
3102	REAL, DIMENSION (klon) :: s_wk !! mean area of individual wakes
3103	REAL, DIMENSION (klon) :: as_wk !! mean area of individual active wakes
3104	REAL, DIMENSION (klon) :: is_wk !! mean area of individual inactive wakes
3105	REAL, DIMENSION (klon) :: tau_wk_inv !! tau = life time of wakes
3106	REAL :: tau_wk_inv_min
3107	REAL, DIMENSION (klon) :: tau_prime !! tau_prime = life time of actives wakes
3108	REAL :: d_wdens_targ, d_sigmaw_targ
3109
3110
3111	!! Equations
3112	!! ---------
3113	!! Gust fronts:
3114	!! Lg_A = 2 pi r_A A
3115	!! Lg_I = 2 pi r_I I
3116	!! Lg = 2 pi r D
3117	!!
3118	!! Areas:
3119	!! s = pi r^2
3120	!! s_A = pi r_A^2
3121	!! s_I = pi r_I^2
3122	!!
3123	!! Life expectancy:
3124	!! tau_I = 3 C* ((C/Ct)^3/2 - 1) / r_I
3125	!!
3126	!! Time deratives:
3127	!! dD/dt = B - (D-A)/tau_I - 2 Lg C* D
3128	!! dA/dt = B - A/tau_A + 2 Lg_I C* (D-A) - 2 Lg_A C* A
3129	!! dsigma/dt = B a0 - sigma_I/tau_I + Lg C* - 2 Lg_I C* (D-A) (2 s_I - a0)
3130	!! dsigma_A/dt = B a0 - sigma_A/tau_A + Lg_A C* + (Lg_A I + Lg_I A) C* s_I + 2 Lg_I C* I a0
3131	!!
3132
3133	DO i = 1, klon
3134	IF (wk_adv(i)) THEN
3135	iwdens(i) = wdens(i) - awdens(i)
3136	isigmaw(i) = sigmaw(i) - asigmaw(i)
3137	!
3138	arad_wk(i) = max( sqrt(asigmaw(i)/(3.14*awdens(i))) , rzero)
3139	irad_wk(i) = max( sqrt((sigmaw(i)-asigmaw(i))/ &
3140	(3.14*max(smallestreal,(wdens(i)-awdens(i))))), rzero)
3141	rad_wk(i) = (awdens(i)arad_wk(i)+(wdens(i)-awdens(i))irad_wk(i))/wdens(i)
3142	!
3143	s_wk(i) = 3.14rad_wk(i)*2
3144	as_wk(i) = 3.14arad_wk(i)*2
3145	is_wk(i) = 3.14irad_wk(i)*2
3146	!
3147	gfl(i) = 2.sqrt(3.14wdens(i)*sigmaw(i))
3148	agfl(i) = 2.sqrt(3.14awdens(i)*asigmaw(i))
3149	igfl(i) = gfl(i) - agfl(i)
3150	ENDIF
3151	ENDDO
3152
3153
3154	DO i = 1, klon
3155	IF (wk_adv(i)) THEN
3156	tau_wk_inv(i) = max( (3.cstar(i))/(irad_wk(i)((cstar(i)/cstart)**1.5 - 1)), 0.)
3157	tau_wk_inv_min = min(tau_wk_inv(i), 1./dtimesub)
3158	tau_prime(i) = tau_cv
3159
3160	d_sig_gen(i) = wgen(i)*aa0
3161	d_sig_death(i) = - isigmaw(i)*tau_wk_inv_min
3162	d_sig_col(i) = - 2.igfl(i)cstar(i)iwdens(i)(2.*is_wk(i)-aa0)
3163	d_sig_spread(i) = gfl(i)*cstar(i)
3164	!
3165	d_sig_gen(i) = d_sig_gen(i)*dtimesub
3166	d_sig_death(i) = d_sig_death(i)*dtimesub
3167	d_sig_col(i) = d_sig_col(i)*dtimesub
3168	d_sig_spread(i) = d_sig_spread(i)*dtimesub
3169	d_sigmaw(i) = d_sig_gen(i) + d_sig_death(i) + d_sig_col(i) + d_sig_spread(i)
3170	#ifdef IOPHYS_WK
3171	IF (phys_sub) call iophys_ecrit('d_sigmaw0',1,'d_sigmaw0','',d_sigmaw)
3172	#endif
3173
3174
3175	d_sigmaw_targ = max(d_sigmaw(i), sigmad-sigmaw(i))
3176	!! d_sig_bnd(i) = d_sig_bnd(i) + d_sigmaw_targ - d_sigmaw(i)
3177	!! d_sig_bnd_provis(i) = d_sigmaw_targ - d_sigmaw(i)
3178	d_sig_bnd(i) = d_sigmaw_targ - d_sigmaw(i)
3179	d_sigmaw(i) = d_sigmaw_targ
3180	!! d_sigmaw(i) = max(d_sigmaw(i), sigmad-sigmaw(i))
3181	#ifdef IOPHYS_WK
3182	IF (phys_sub) THEN
3183	call iophys_ecrit('tauwk_inv',1,'tau_wk_inv_min','',tau_wk_inv_min)
3184	call iophys_ecrit('d_sigmaw',1,'d_sigmaw','',d_sigmaw)
3185	call iophys_ecrit('d_sig_gen',1,'d_sig_gen','',d_sig_gen)
3186	call iophys_ecrit('d_sig_death',1,'d_sig_death','',d_sig_death)
3187	call iophys_ecrit('d_sig_col',1,'d_sig_col','',d_sig_col)
3188	call iophys_ecrit('d_sig_spread',1,'d_sig_spread','',d_sig_spread)
3189	call iophys_ecrit('d_sig_bnd',1,'d_sig_bnd','',d_sig_bnd)
3190	ENDIF
3191	#endif
3192	d_asig_death(i) = - asigmaw(i)/tau_prime(i)
3193	d_asig_aicol(i) = (agfl(i)iwdens(i) + igfl(i)awdens(i))cstar(i)is_wk(i)
3194	d_asig_iicol(i) = 2.igfl(i)cstar(i)iwdens(i)aa0
3195	d_asig_spread(i) = agfl(i)*cstar(i)
3196	!
3197	d_asig_death(i) = d_asig_death(i)*dtimesub
3198	d_asig_aicol(i) = d_asig_aicol(i)*dtimesub
3199	d_asig_iicol(i) = d_asig_iicol(i)*dtimesub
3200	d_asig_spread(i) = d_asig_spread(i)*dtimesub
3201	d_asigmaw(i) = d_sig_gen(i) + d_asig_death(i) + d_asig_aicol(i) + d_asig_iicol(i) + d_asig_spread(i)
3202	#ifdef IOPHYS_WK
3203	IF (phys_sub) call iophys_ecrit('d_asigmaw0',1,'d_asigmaw0','',d_asigmaw)
3204	#endif
3205
3206	d_sigmaw_targ = min(max(d_asigmaw(i),-asigmaw(i)), sigmaw(i)-asigmaw(i))
3207	!! d_dens_bnd(i) = d_dens_bnd(i) + d_sigmaw_targ - d_sigmaw(i)
3208	d_asig_bnd(i) = d_sigmaw_targ - d_asigmaw(i)
3209	d_asigmaw(i) = d_sigmaw_targ
3210	#ifdef IOPHYS_WK
3211	IF (phys_sub) THEN
3212	call iophys_ecrit('d_asigmaw',1,'d_asigmaw','',d_asigmaw)
3213	call iophys_ecrit('d_asig_death',1,'d_asig_death','',d_asig_death)
3214	call iophys_ecrit('d_asig_aicol',1,'d_asig_aicol','',d_asig_aicol)
3215	call iophys_ecrit('d_asig_iicol',1,'d_asig_iicol','',d_asig_iicol)
3216	call iophys_ecrit('d_asig_spread',1,'d_asig_spread','',d_asig_spread)
3217	call iophys_ecrit('d_asig_bnd',1,'d_asig_bnd','',d_asig_bnd)
3218	ENDIF
3219	#endif
3220	d_dens_gen(i) = wgen(i)
3221	d_dens_death(i) = - iwdens(i)*tau_wk_inv_min
3222	d_dens_col(i) = - 2.gfl(i)cstar(i)*wdens(i)
3223	!
3224	d_dens_gen(i) = d_dens_gen(i)*dtimesub
3225	d_dens_death(i) = d_dens_death(i)*dtimesub
3226	d_dens_col(i) = d_dens_col(i)*dtimesub
3227	d_wdens(i) = d_dens_gen(i) + d_dens_death(i) + d_dens_col(i)
3228	!!
3229	d_wdens_targ = max(d_wdens(i), wdensmin-wdens(i))
3230	!! d_dens_bnd(i) = d_dens_bnd(i) + d_wdens_targ - d_wdens(i)
3231	d_dens_bnd(i) = d_wdens_targ - d_wdens(i)
3232	d_wdens(i) = d_wdens_targ
3233	#ifdef IOPHYS_WK
3234	IF (phys_sub) THEN
3235	call iophys_ecrit('d_wdens',1,'d_wdens','',d_wdens)
3236	call iophys_ecrit('d_dens_gen',1,'d_dens_gen','',d_dens_gen)
3237	call iophys_ecrit('d_dens_death',1,'d_dens_death','',d_dens_death)
3238	call iophys_ecrit('d_dens_col',1,'d_dens_col','',d_dens_col)
3239	ENDIF
3240	#endif
3241
3242	d_adens_death(i) = -awdens(i)/tau_prime(i)
3243	d_adens_icol(i) = 2.igfl(i)cstar(i)*iwdens(i)
3244	d_adens_acol(i) = - 2.agfl(i)cstar(i)*awdens(i)
3245	!
3246	d_adens_death(i) = d_adens_death(i)*dtimesub
3247	d_adens_icol(i) = d_adens_icol(i)*dtimesub
3248	d_adens_acol(i) = d_adens_acol(i)*dtimesub
3249	d_awdens(i) = d_dens_gen(i) + d_adens_death(i) + d_adens_icol(i) + d_adens_acol(i)
3250	#ifdef IOPHYS_WK
3251	IF (phys_sub) THEN
3252	call iophys_ecrit('d_awdens',1,'d_awdens','',d_awdens)
3253	call iophys_ecrit('d_adens_death',1,'d_adens_death','',d_adens_death)
3254	call iophys_ecrit('d_adens_icol',1,'d_adens_icol','',d_adens_icol)
3255	call iophys_ecrit('d_adens_acol',1,'d_adens_acol','',d_adens_acol)
3256	ENDIF
3257	#endif
3258	d_wdens_targ = min(max(d_awdens(i),-awdens(i)), wdens(i)-awdens(i))
3259	!! d_dens_bnd(i) = d_dens_bnd(i) + d_wdens_targ - d_wdens(i)
3260	d_adens_bnd(i) = d_wdens_targ - d_awdens(i)
3261	d_awdens(i) = d_wdens_targ
3262
3263	!! d_irad(i) = (d_sigmaw(i)-d_asigmaw(i)-isigmaw(i)*(d_wdens(i)-awdens(i))/iwdens(i)) / &
3264	!! max(smallestreal,(2.3.14iwdens(i)*irad_wk(i)))
3265	!! d_arad(i) = (d_asigmaw(i)-asigmaw(i)*d_awdens(i)/awdens(i)) / &
3266	!! max(smallestreal,(2.3.14awdens(i)*arad_wk(i)))
3267	!! d_irad(i) = d_irad(i)*dtimesub
3268	!! d_arad(i) = d_arad(i)*dtimesub
3269	!! call iophys_ecrit('d_irad',1,'d_irad','m',d_irad)
3270	!! call iophys_ecrit('d_airad',1,'d_arad','m',d_arad)
3271	!!
3272	ENDIF
3273	ENDDO
3274
3275	IF (prt_level >= 10) THEN
3276	print *,'wake, cstar(1), cstar(1)/cstart, rad_wk(1), tau_wk_inv(1), gfl(1) ', &
3277	cstar(1), cstar(1)/cstart, rad_wk(1), tau_wk_inv(1), gfl(1)
3278	print *,'wake, wdens(1), awdens(1), d_awdens(1) ', &
3279	wdens(1), awdens(1), d_awdens(1)
3280	print *,'wake, d_sig_gen(1), d_sig_death(1), d_sig_col(1), d_sigmaw(1) ', &
3281	d_sig_gen(1), d_sig_death(1), d_sig_col(1), d_sigmaw(1)
3282	ENDIF
3283	sigmaw=sigmaw+d_sigmaw
3284	asigmaw=asigmaw+d_asigmaw
3285	wdens=wdens+d_wdens
3286	awdens=awdens+d_awdens
3287
3288	RETURN
3289	END SUBROUTINE wake_popdyn_3
3290
3291	END MODULE lmdz_wake

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