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cdrag_mod.F90 @ 4976

Last change on this file since 4976 was 4777, checked in by evignon, 11 months ago
petites corrections dans les routines atke
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1	!
2	!$Id: cdrag_mod.F90 4777 2023-12-18 22:03:57Z idelkadi $
3	!
4	!
5	MODULE cdrag_mod
6	!
7	! This module contains some procedures for calculation of the cdrag
8	! coefficients for turbulent diffusion at surface
9	!
10	IMPLICIT NONE
11
12	CONTAINS
13	!
14	!****************************************************************************************
15	!
16	!r original routine svn3623
17	!
18	SUBROUTINE cdrag(knon, nsrf, &
19	speed, t1, q1, zgeop1, &
20	psol, pblh, tsurf, qsurf, z0m, z0h, &
21	ri_in, iri_in, &
22	cdm, cdh, zri, pref, prain, tsol , pat1)
23
24	USE dimphy
25	USE indice_sol_mod
26	USE print_control_mod, ONLY: lunout, prt_level
27	USE ioipsl_getin_p_mod, ONLY : getin_p
28	USE lmdz_atke_turbulence_ini, ONLY : smmin, ric, cinf, cepsilon, pr_slope, pr_asym, pr_neut
29
30	IMPLICIT NONE
31	! ================================================================= c
32	!
33	! Objet : calcul des cdrags pour le moment (pcfm) et
34	! les flux de chaleur sensible et latente (pcfh) d'apr??s
35	! Louis 1982, Louis 1979, King et al 2001
36	! ou Zilitinkevich et al 2002 pour les cas stables, Louis 1979
37	! et 1982 pour les cas instables
38	!
39	! Modified history:
40	! writting on the 20/05/2016
41	! modified on the 13/12/2016 to be adapted to LMDZ6
42	!
43	! References:
44	! Louis, J. F., 1979: A parametric model of vertical eddy fluxes in the
45	! atmosphere. Boundary-Layer Meteorology. 01/1979; 17(2):187-202.
46	! Louis, J. F., Tiedtke, M. and Geleyn, J. F., 1982: `A short history of the
47	! operational PBL parametrization at ECMWF'. Workshop on boundary layer
48	! parametrization, November 1981, ECMWF, Reading, England.
49	! Page: 19. Equations in Table 1.
50	! Mascart P, Noilhan J, Giordani H 1995.A MODIFIED PARAMETERIZATION OF FLUX-PROFILE RELATIONSHIPS
51	! IN THE SURFACE LAYER USING DIFFERENT ROUGHNESS LENGTH VALUES FOR HEAT AND MOMENTUM
52	! Boundary-Layer Meteorology 72: 331-344
53	! Anton Beljaars. May 1992. The parametrization of the planetary boundary layer.
54	! European Centre for Medium-Range Weather Forecasts.
55	! Equations: 110-113. Page 40.
56	! Miller,M.J., A.C.M.Beljaars, T.N.Palmer. 1992. The sensitivity of the ECMWF
57	! model to the parameterization of evaporation from the tropical oceans. J.
58	! Climate, 5:418-434.
59	! King J.C, Connolley, W.M ad Derbyshire S.H. 2001, Sensitivity of Modelled Antarctic climate
60	! to surface and boundary-layer flux parametrizations
61	! QJRMS, 127, pp 779-794
62	!
63	! ================================================================= c
64	! ================================================================= c
65	! On choisit le couple de fonctions de correction avec deux flags:
66	! Un pour les cas instables, un autre pour les cas stables
67	!
68	! iflag_corr_insta:
69	! 1: Louis 1979 avec les modifications de Mascart 1995 (z0/= z0h)
70	! 2: Louis 1982
71	! 3: Laurent Li
72	!
73	! iflag_corr_sta:
74	! 1: Louis 1979 avec les modifications de Mascart 1995 (z0/= z0h)
75	! 2: Louis 1982
76	! 3: Laurent Li
77	! 4: King 2001 (SHARP)
78	! 5: MO 1st order theory (allow collapse of turbulence)
79	!
80	!
81	!*****************************************************************
82	! Parametres d'entree
83	!*****************************************************************
84
85	INTEGER, INTENT(IN) :: knon, nsrf ! nombre de points de grille sur l'horizontal + type de surface
86	REAL, DIMENSION(klon), INTENT(IN) :: speed ! module du vent au 1er niveau du modele
87	REAL, DIMENSION(klon), INTENT(IN) :: zgeop1 ! geopotentiel au 1er niveau du modele
88	REAL, DIMENSION(klon), INTENT(IN) :: tsurf ! Surface temperature (K)
89	REAL, DIMENSION(klon), INTENT(IN) :: qsurf ! Surface humidity (Kg/Kg)
90	REAL, DIMENSION(klon), INTENT(INOUT) :: z0m, z0h ! Rugosity at surface (m)
91	REAL, DIMENSION(klon), INTENT(IN) :: ri_in ! Input Richardson 1st layer for first guess calculations of screen var.
92	INTEGER, INTENT(IN) :: iri_in! iflag to activate cdrag calculation using ri1
93	REAL, DIMENSION(klon), INTENT(IN) :: t1 ! Temperature au premier niveau (K)
94	REAL, DIMENSION(klon), INTENT(IN) :: q1 ! humidite specifique au premier niveau (kg/kg)
95	REAL, DIMENSION(klon), INTENT(IN) :: psol ! pression au sol
96
97	!------------------ Rajout pour COARE (OT2018) --------------------
98	REAL, DIMENSION(klon), INTENT(INOUT) :: pblh !hauteur de CL
99	REAL, DIMENSION(klon), INTENT(IN) :: prain !rapport au precipitation
100	REAL, DIMENSION(klon), INTENT(IN) :: tsol !SST imposé sur la surface oceanique
101	REAL, DIMENSION(klon), INTENT(IN) :: pat1 !pression premier lev
102
103
104
105	! Parametres de sortie
106	!******************************************************************
107	REAL, DIMENSION(klon), INTENT(OUT) :: cdm ! Drag coefficient for momentum
108	REAL, DIMENSION(klon), INTENT(OUT) :: cdh ! Drag coefficient for heat flux
109	REAL, DIMENSION(klon), INTENT(OUT) :: zri ! Richardson number
110	REAL, DIMENSION(klon), INTENT(INOUT) :: pref ! Pression au niveau zgeop/RG
111
112	! Variables Locales
113	!******************************************************************
114
115
116	INCLUDE "YOMCST.h"
117	INCLUDE "YOETHF.h"
118	INCLUDE "clesphys.h"
119
120
121	REAL, PARAMETER :: CKAP=0.40, CKAPT=0.42
122	REAL CEPDU2
123	REAL ALPHA
124	REAL CB,CC,CD,C2,C3
125	REAL MU, CM, CH, B, CMstar, CHstar
126	REAL PM, PH, BPRIME
127	INTEGER ng_q1 ! Number of grids that q1 < 0.0
128	INTEGER ng_qsurf ! Number of grids that qsurf < 0.0
129	INTEGER i, k
130	REAL zdu2, ztsolv
131	REAL ztvd, zscf
132	REAL zucf, zcr
133	REAL, DIMENSION(klon) :: FM, FH ! stability functions
134	REAL, DIMENSION(klon) :: cdmn, cdhn ! Drag coefficient in neutral conditions
135	REAL zzzcd
136	REAL, DIMENSION(klon) :: sm, prandtl ! Stability function from atke turbulence scheme
137	REAL ri0, ri1, cn ! to have dimensionless term in sm and prandtl
138
139	!------------------ Rajout (OT2018) --------------------
140	!------------------ Rajout pour les appelles BULK (OT) --------------------
141	REAL, DIMENSION(klon,2) :: rugos_itm
142	REAL, DIMENSION(klon,2) :: rugos_ith
143	REAL, PARAMETER :: tol_it_rugos=1.e-4
144	REAL, DIMENSION(3) :: coeffs
145	LOGICAL :: mixte
146	REAL :: z_0m
147	REAL :: z_0h
148	REAL, DIMENSION(klon) :: cdmm
149	REAL, DIMENSION(klon) :: cdhh
150
151	!------------------RAJOUT POUR ECUME -------------------
152
153	REAL, DIMENSION(klon) :: PQSAT
154	REAL, DIMENSION(klon) :: PSFTH
155	REAL, DIMENSION(klon) :: PFSTQ
156	REAL, DIMENSION(klon) :: PUSTAR
157	REAL, DIMENSION(klon) :: PCD ! Drag coefficient for momentum
158	REAL, DIMENSION(klon) :: PCDN ! Drag coefficient for momentum
159	REAL, DIMENSION(klon) :: PCH ! Drag coefficient for momentum
160	REAL, DIMENSION(klon) :: PCE ! Drag coefficient for momentum
161	REAL, DIMENSION(klon) :: PRI
162	REAL, DIMENSION(klon) :: PRESA
163	REAL, DIMENSION(klon) :: PSSS
164
165	LOGICAL :: OPRECIP
166	LOGICAL :: OPWEBB
167	LOGICAL :: OPERTFLUX
168	LOGICAL :: LPRECIP
169	LOGICAL :: LPWG
170
171
172
173	LOGICAL, SAVE :: firstcall = .TRUE.
174	!$OMP THREADPRIVATE(firstcall)
175	INTEGER, SAVE :: iflag_corr_sta
176	!$OMP THREADPRIVATE(iflag_corr_sta)
177	INTEGER, SAVE :: iflag_corr_insta
178	!$OMP THREADPRIVATE(iflag_corr_insta)
179	LOGICAL, SAVE :: ok_cdrag_iter
180	!$OMP THREADPRIVATE(ok_cdrag_iter)
181
182	!===================================================================c
183	! Valeurs numeriques des constantes
184	!===================================================================c
185
186
187	! Minimum du carre du vent
188
189	CEPDU2 = (0.1)**2
190
191	! Louis 1982
192
193	CB=5.0
194	CC=5.0
195	CD=5.0
196
197
198	! King 2001
199
200	C2=0.25
201	C3=0.0625
202
203
204	! Louis 1979
205
206	BPRIME=4.7
207	B=9.4
208
209
210	!MO
211
212	ALPHA=5.0
213
214	! Consistent with atke scheme
215	cn=(1./sqrt(cepsilon))**(2./3.)
216	ri0=2./rpi(cinf - cn)ric/cn
217	ri1=-2./rpi * (pr_asym - pr_neut)/pr_slope
218
219
220	! ================================================================= c
221	! Tests avant de commencer
222	! Fuxing WANG, 04/03/2015
223	! To check if there are negative q1, qsurf values.
224	!====================================================================c
225	ng_q1 = 0 ! Initialization
226	ng_qsurf = 0 ! Initialization
227	DO i = 1, knon
228	IF (q1(i).LT.0.0) ng_q1 = ng_q1 + 1
229	IF (qsurf(i).LT.0.0) ng_qsurf = ng_qsurf + 1
230	ENDDO
231	IF (ng_q1.GT.0 .and. prt_level > 5) THEN
232	WRITE(lunout,)" ** Warning: Negative q1(humidity at 1st level) values in cdrag.F90 !"
233	WRITE(lunout,*)" The total number of the grids is: ", ng_q1
234	WRITE(lunout,*)" The negative q1 is set to zero "
235	! abort_message="voir ci-dessus"
236	! CALL abort_physic(modname,abort_message,1)
237	ENDIF
238	IF (ng_qsurf.GT.0 .and. prt_level > 5) THEN
239	WRITE(lunout,)" ** Warning: Negative qsurf(humidity at surface) values in cdrag.F90 !"
240	WRITE(lunout,*)" The total number of the grids is: ", ng_qsurf
241	WRITE(lunout,*)" The negative qsurf is set to zero "
242	! abort_message="voir ci-dessus"
243	! CALL abort_physic(modname,abort_message,1)
244	ENDIF
245
246
247
248	!=============================================================================c
249	! Calcul du cdrag
250	!=============================================================================c
251
252	! On choisit les fonctions de stabilite utilisees au premier appel
253	!**************************************************************************
254	IF (firstcall) THEN
255	iflag_corr_sta=2
256	iflag_corr_insta=2
257	ok_cdrag_iter = .FALSE.
258
259	CALL getin_p('iflag_corr_sta',iflag_corr_sta)
260	CALL getin_p('iflag_corr_insta',iflag_corr_insta)
261	CALL getin_p('ok_cdrag_iter',ok_cdrag_iter)
262
263	firstcall = .FALSE.
264	ENDIF
265
266	!------------------ Rajout (OT2018) --------------------
267	!--------- Rajout pour itération sur rugosité ----------------
268	rugos_itm(:,2) = z0m
269	rugos_itm(:,1) = 3.tol_it_rugosz0m
270
271	rugos_ith(:,2) = z0h !cp nouveau rugos_it
272	rugos_ith(:,1) = 3.tol_it_rugosz0h
273	!--------------------------------------------------------------------
274
275	!xxxxxxxxxxxxxxxxxxxxxxx
276	DO i = 1, knon ! Boucle sur l'horizontal
277	!xxxxxxxxxxxxxxxxxxxxxxx
278
279
280	! calculs preliminaires:
281	!***********************
282
283	zdu2 = MAX(CEPDU2, speed(i)**2)
284	pref(i) = EXP(LOG(psol(i)) - zgeop1(i)/(RDt1(i) &
285	(1.+ RETV * max(q1(i),0.0)))) ! negative q1 set to zero
286	ztsolv = tsurf(i) * (1.0+RETV*max(qsurf(i),0.0)) ! negative qsurf set to zero
287	ztvd = (t1(i)+zgeop1(i)/RCPD/(1.+RVTMP2*q1(i))) &
288	(1.+RETVmax(q1(i),0.0)) ! negative q1 set to zero
289
290	!------------------ Rajout (OT2018) --------------------
291	!-------------- ON DUPLIQUE POUR METTRE ITERATION SUR OCEAN ------------------------
292	IF (iri_in.EQ.1) THEN
293	zri(i) = ri_in(i)
294	ENDIF
295
296	IF (nsrf == is_oce) THEN
297
298	!------------------ Pour Core 2 choix Core Pur ou Core Mixte --------------------
299	IF ((choix_bulk > 1 .AND. choix_bulk < 4) .AND. (nsrf .eq. is_oce)) THEN
300	IF(choix_bulk .eq. 2) THEN
301	mixte = .false.
302	ELSE
303	mixte = .true.
304	ENDIF
305	call clc_core_cp ( sqrt(zdu2),t1(i)-tsurf(i),q1(i)-qsurf(i),t1(i),q1(i),&
306	zgeop1(i)/RG, zgeop1(i)/RG, zgeop1(i)/RG,&
307	psol(i),nit_bulk,mixte,&
308	coeffs,z_0m,z_0h)
309	cdmm(i) = coeffs(1)
310	cdhh(i) = coeffs(2)
311	cdm(i)=cdmm(i)
312	cdh(i)=cdhh(i)
313	write(,) "clc_core cd ch",cdmm(i),cdhh(i)
314
315	!------------------ Pour ECUME --------------------
316	ELSE IF ((choix_bulk .eq. 4) .and. (nsrf .eq. is_oce)) THEN
317	OPRECIP = .false.
318	OPWEBB = .false.
319	OPERTFLUX = .false.
320	IF (nsrf .eq. is_oce) THEN
321	PSSS = 0.0
322	ENDIF
323	call ini_csts
324	call ecumev6_flux( z_0m,t1(i),tsurf(i),&
325	q1(i),qsurf(i),sqrt(zdu2),zgeop1(i)/RG,PSSS,zgeop1(i)/RG,&
326	psol(i),pat1(i), OPRECIP, OPWEBB,&
327	PSFTH,PFSTQ,PUSTAR,PCD,PCDN,&
328	PCH,PCE,PRI,PRESA,prain,&
329	z_0h,OPERTFLUX,coeffs)
330
331	cdmm(i) = coeffs(1)
332	cdhh(i) = coeffs(2)
333	cdm(i)=cdmm(i)
334	cdh(i)=cdhh(i)
335
336	write(,) "ecume cd ch",cdmm(i),cdhh(i)
337
338	!------------------ Pour COARE CNRM --------------------
339	ELSE IF ((choix_bulk .eq. 5) .and. (nsrf .eq. is_oce)) THEN
340	LPRECIP = .false.
341	LPWG = .false.
342	call ini_csts
343	call coare30_flux_cnrm(z_0m,t1(i),tsurf(i), q1(i), &
344	sqrt(zdu2),zgeop1(i)/RG,zgeop1(i)/RG,psol(i),qsurf(i),PQSAT, &
345	PSFTH,PFSTQ,PUSTAR,PCD,PCDN,PCH,PCE,PRI, &
346	PRESA,prain,pat1(i),z_0h, LPRECIP, LPWG, coeffs)
347	cdmm(i) = coeffs(1)
348	cdhh(i) = coeffs(2)
349	cdm(i)=cdmm(i)
350	cdh(i)=cdhh(i)
351	write(,) "coare CNRM cd ch",cdmm(i),cdhh(i)
352
353	!------------------ Pour COARE Maison --------------------
354	ELSE IF ((choix_bulk .eq. 1) .and. (nsrf .eq. is_oce)) THEN
355	IF ( pblh(i) .eq. 0. ) THEN
356	pblh(i) = 1500.
357	ENDIF
358	write(,) "debug size",size(coeffs)
359	call coare_cp(sqrt(zdu2),t1(i)-tsurf(i),q1(i)-qsurf(i),&
360	t1(i),q1(i),&
361	zgeop1(i)/RG,zgeop1(i)/RG,zgeop1(i)/RG,&
362	psol(i), pblh(i),&
363	nit_bulk,&
364	coeffs,z_0m,z_0h)
365	cdmm(i) = coeffs(1)
366	cdhh(i) = coeffs(3)
367	cdm(i)=cdmm(i)
368	cdh(i)=cdhh(i)
369	write(,) "coare cd ch",cdmm(i),cdhh(i)
370	ELSE
371	!------------------ Pour La param LMDZ (ocean) --------------------
372	zri(i) = zgeop1(i)(ztvd-ztsolv)/(zdu2ztvd)
373	IF (iri_in.EQ.1) THEN
374	zri(i) = ri_in(i)
375	ENDIF
376	ENDIF
377
378
379	!----------------------- Rajout des itérations --------------
380	DO k=1,nit_bulk
381
382	! Coefficients CD neutres : k^2/ln(z/z0) et k^2/(ln(z/z0)*ln(z/z0h)):
383	!********************************************************************
384	zzzcd=CKAP/LOG(1.+zgeop1(i)/(RG*rugos_itm(i,2)))
385	cdmn(i) = zzzcd*zzzcd
386	cdhn(i) = zzzcd(CKAP/LOG(1.+zgeop1(i)/(RGrugos_ith(i,2))))
387
388	! Calcul des fonctions de stabilite FMs, FHs, FMi, FHi :
389	!*******************************************************
390	IF (zri(i) .LT. 0.) THEN
391	SELECT CASE (iflag_corr_insta)
392	CASE (1) ! Louis 1979 + Mascart 1995
393	MU=LOG(MAX(z0m(i)/z0h(i),0.01))
394	CMstar=6.8741+2.6933MU-0.3601(MU*2)+0.0154(MU**3)
395	PM=0.5233-0.0815MU+0.0135(MU*2)-0.001(MU**3)
396	CHstar=3.2165+4.3431MU+0.536(MU*2)-0.0781(MU**3)
397	PH=0.5802-0.1571MU+0.0327(MU*2)-0.0026(MU**3)
398	CH=CHstarBCKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) &
399	& * CKAPT/LOG(z0h(i)+zgeop1(i)/(RG*z0h(i))) &
400	& * ((zgeop1(i)/(RGz0h(i)))*PH)
401	CM=CMstarBCKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) &
402	& CKAP/LOG(z0m(i)+zgeop1(i)/(RGz0m(i))) &
403	& * ((zgeop1(i)/(RGz0m(i)))*PM)
404	FM(i)=1.-Bzri(i)/(1.+CMSQRT(ABS(zri(i))))
405	FH(i)=1.-Bzri(i)/(1.+CHSQRT(ABS(zri(i))))
406	CASE (2) ! Louis 1982
407	zucf = 1./(1.+3.0CBCCcdmn(i)SQRT(ABS(zri(i)) &
408	(1.0+zgeop1(i)/(RGz0m(i)))))
409	FM(i) = AMAX1((1.-2.0CBzri(i)*zucf),f_ri_cd_min)
410	FH(i) = AMAX1((1.-3.0CBzri(i)*zucf),f_ri_cd_min)
411	CASE (3) ! Laurent Li
412	FM(i) = MAX(SQRT(1.0-18.0*zri(i)),f_ri_cd_min)
413	FH(i) = MAX(SQRT(1.0-18.0*zri(i)),f_ri_cd_min)
414	CASE (6) ! Consistent with turbulence scheme (in stationary case) derived in atke (2023)
415	sm(i) = 2./rpi * (cinf - cn) * atan(-zri(i)/ri0) + cn
416	prandtl(i) = -2./rpi * (pr_asym - pr_neut) * atan(zri(i)/ri1) + pr_neut
417	FM(i) = MAX((sm(i)*(3./2.) sqrt(cepsilon) * (1 - zri(i) / prandtl(i))**(1./2.)),f_ri_cd_min)
418	FH(i) = MAX((FM(i) / prandtl(i)), f_ri_cd_min)
419	CASE default ! Louis 1982
420	zucf = 1./(1.+3.0CBCCcdmn(i)SQRT(ABS(zri(i)) &
421	(1.0+zgeop1(i)/(RGz0m(i)))))
422	FM(i) = AMAX1((1.-2.0CBzri(i)*zucf),f_ri_cd_min)
423	FH(i) = AMAX1((1.-3.0CBzri(i)*zucf),f_ri_cd_min)
424	END SELECT
425	! Calcul des drags
426	cdmm(i)=cdmn(i)*FM(i)
427	cdhh(i)=f_cdrag_tercdhn(i)FH(i)
428	! Traitement particulier des cas oceaniques
429	! on applique Miller et al 1992 en l'absence de gustiness
430	IF (nsrf == is_oce) THEN
431	! cdh(i)=f_cdrag_ocecdhn(i)FH(i)
432	IF (iflag_gusts==0) THEN
433	zcr = (0.0016/(cdmn(i)SQRT(zdu2)))ABS(ztvd-ztsolv)**(1./3.)
434	cdhh(i) =f_cdrag_oce* cdhn(i)(1.0+zcr1.25)*(1./1.25)
435	ENDIF
436	cdmm(i)=MIN(cdmm(i),cdmmax)
437	cdhh(i)=MIN(cdhh(i),cdhmax)
438	! write(,) "LMDZ cd ch",cdmm(i),cdhh(i)
439	END IF
440	ELSE
441
442	!'''''''''''''''
443	! Cas stables :
444	!'''''''''''''''
445	zri(i) = MIN(20.,zri(i))
446	SELECT CASE (iflag_corr_sta)
447	CASE (1) ! Louis 1979 + Mascart 1995
448	FM(i)=MAX(1./((1+BPRIMEzri(i))*2),f_ri_cd_min)
449	FH(i)=FM(i)
450	CASE (2) ! Louis 1982
451	zscf = SQRT(1.+CD*ABS(zri(i)))
452	FM(i)= AMAX1(1. / (1.+2.CBzri(i)/zscf), f_ri_cd_min)
453	FH(i)= AMAX1(1./ (1.+3.CBzri(i)*zscf), f_ri_cd_min )
454	CASE (3) ! Laurent Li
455	FM(i)=MAX(1.0 / (1.0+10.0zri(i)(1+8.0*zri(i))),f_ri_cd_min)
456	FH(i)=FM(i)
457	CASE (4) ! King 2001
458	IF (zri(i) .LT. C2/2.) THEN
459	FM(i)=MAX((1.-zri(i)/C2)**2,f_ri_cd_min)
460	FH(i)= FM(i)
461	ELSE
462	FM(i)=MAX(C3((C2/zri(i))*2),f_ri_cd_min)
463	FH(i)= FM(i)
464	ENDIF
465	CASE (5) ! MO
466	if (zri(i) .LT. 1./alpha) then
467	FM(i)=MAX((1.-alphazri(i))*2,f_ri_cd_min)
468	FH(i)=FM(i)
469	else
470	FM(i)=MAX(1E-7,f_ri_cd_min)
471	FH(i)=FM(i)
472	endif
473	CASE (6) ! Consistent with turbulence scheme (in stationary case) derived in atke (2023)
474	sm(i) = MAX(smmin,cn*(1.-zri(i)/ric))
475	! prandlt expression from venayagamoorthy and stretch 2010, Li et al 2019
476	prandtl(i) = pr_neutexp(-pr_slope/pr_neutzri(i)+zri(i)/pr_neut) &
477	+ zri(i) * pr_slope
478	FM(i) = MAX((sm(i)*(3./2.) sqrt(cepsilon) * (1 - zri(i) / prandtl(i))**(1./2.)),f_ri_cd_min)
479	FH(i) = MAX((FM(i) / prandtl(i)), f_ri_cd_min)
480	CASE default ! Louis 1982
481	zscf = SQRT(1.+CD*ABS(zri(i)))
482	FM(i)= AMAX1(1. / (1.+2.CBzri(i)/zscf), f_ri_cd_min)
483	FH(i)= AMAX1(1./ (1.+3.CBzri(i)*zscf), f_ri_cd_min )
484	END SELECT
485
486	! Calcul des drags
487
488	cdmm(i)=cdmn(i)*FM(i)
489	cdhh(i)=f_cdrag_tercdhn(i)FH(i)
490
491	IF (choix_bulk == 0) THEN
492	cdm(i)=cdmn(i)*FM(i)
493	cdh(i)=f_cdrag_tercdhn(i)FH(i)
494	ENDIF
495
496	IF (nsrf.EQ.is_oce) THEN
497	cdhh(i)=f_cdrag_ocecdhn(i)FH(i)
498	cdmm(i)=MIN(cdmm(i),cdmmax)
499	cdhh(i)=MIN(cdhh(i),cdhmax)
500	ENDIF
501	IF (ok_cdrag_iter) THEN
502	rugos_itm(i,1) = rugos_itm(i,2)
503	rugos_ith(i,1) = rugos_ith(i,2)
504	rugos_itm(i,2) = 0.018cdmm(i) (speed(i))/RG &
505	+ 0.1114e-6 / SQRT(cdmm(i) zdu2)
506
507	!---------- Version SEPARATION DES Z0 ----------------------
508	IF (iflag_z0_oce==0) THEN
509	rugos_ith(i,2) = rugos_itm(i,2)
510	ELSE IF (iflag_z0_oce==1) THEN
511	rugos_ith(i,2) = 0.4014e-6 / SQRT(cdmm(i) zdu2)
512	ENDIF
513	ENDIF
514	ENDIF
515	IF (ok_cdrag_iter) THEN
516	rugos_itm(i,2) = MAX(1.5e-05,rugos_itm(i,2))
517	rugos_ith(i,2) = MAX(1.5e-05,rugos_ith(i,2))
518	ENDIF
519	ENDDO
520	IF (nsrf.EQ.is_oce) THEN
521	cdm(i)=MIN(cdmm(i),cdmmax)
522	cdh(i)=MIN(cdhh(i),cdhmax)
523	ENDIF
524	z0m = rugos_itm(:,2)
525	z0h = rugos_ith(:,2)
526	ELSE ! (nsrf == is_oce)
527	zri(i) = zgeop1(i)(ztvd-ztsolv)/(zdu2ztvd)
528	IF (iri_in.EQ.1) THEN
529	zri(i) = ri_in(i)
530	ENDIF
531
532	! Coefficients CD neutres : k^2/ln(z/z0) et k^2/(ln(z/z0)*ln(z/z0h)):
533	!********************************************************************
534	zzzcd=CKAP/LOG(1.+zgeop1(i)/(RG*z0m(i)))
535	cdmn(i) = zzzcd*zzzcd
536	cdhn(i) = zzzcd(CKAP/LOG(1.+zgeop1(i)/(RGz0h(i))))
537
538
539	! Calcul des fonctions de stabilit?? FMs, FHs, FMi, FHi :
540	!*******************************************************
541	!''''''''''''''
542	! Cas instables
543	!''''''''''''''
544	IF (zri(i) .LT. 0.) THEN
545	SELECT CASE (iflag_corr_insta)
546	CASE (1) ! Louis 1979 + Mascart 1995
547	MU=LOG(MAX(z0m(i)/z0h(i),0.01))
548	CMstar=6.8741+2.6933MU-0.3601(MU*2)+0.0154(MU**3)
549	PM=0.5233-0.0815MU+0.0135(MU*2)-0.001(MU**3)
550	CHstar=3.2165+4.3431MU+0.536(MU*2)-0.0781(MU**3)
551	PH=0.5802-0.1571MU+0.0327(MU*2)-0.0026(MU**3)
552	CH=CHstarBCKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) &
553	& * CKAPT/LOG(z0h(i)+zgeop1(i)/(RG*z0h(i))) &
554	& * ((zgeop1(i)/(RGz0h(i)))*PH)
555	CM=CMstarBCKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) &
556	& CKAP/LOG(z0m(i)+zgeop1(i)/(RGz0m(i))) &
557	& * ((zgeop1(i)/(RGz0m(i)))*PM)
558	FM(i)=1.-Bzri(i)/(1.+CMSQRT(ABS(zri(i))))
559	FH(i)=1.-Bzri(i)/(1.+CHSQRT(ABS(zri(i))))
560	CASE (2) ! Louis 1982
561	zucf = 1./(1.+3.0CBCCcdmn(i)SQRT(ABS(zri(i)) &
562	(1.0+zgeop1(i)/(RGz0m(i)))))
563	FM(i) = AMAX1((1.-2.0CBzri(i)*zucf),f_ri_cd_min)
564	FH(i) = AMAX1((1.-3.0CBzri(i)*zucf),f_ri_cd_min)
565	CASE (3) ! Laurent Li
566	FM(i) = MAX(SQRT(1.0-18.0*zri(i)),f_ri_cd_min)
567	FH(i) = MAX(SQRT(1.0-18.0*zri(i)),f_ri_cd_min)
568	CASE (6) ! Consistent with turbulence scheme (in stationary case) derived in atke (2023)
569	sm(i) = 2./rpi * (cinf - cn) * atan(-zri(i)/ri0) + cn
570	prandtl(i) = -2./rpi * (pr_asym - pr_neut) * atan(zri(i)/ri1) + pr_neut
571	FM(i) = MAX((sm(i)*(3./2.) sqrt(cepsilon) * (1 - zri(i) / prandtl(i))**(1./2.)),f_ri_cd_min)
572	FH(i) = MAX((FM(i) / prandtl(i)), f_ri_cd_min)
573	CASE default ! Louis 1982
574	zucf = 1./(1.+3.0CBCCcdmn(i)SQRT(ABS(zri(i)) &
575	(1.0+zgeop1(i)/(RGz0m(i)))))
576	FM(i) = AMAX1((1.-2.0CBzri(i)*zucf),f_ri_cd_min)
577	FH(i) = AMAX1((1.-3.0CBzri(i)*zucf),f_ri_cd_min)
578	END SELECT
579	! Calcul des drags
580	cdm(i)=cdmn(i)*FM(i)
581	cdh(i)=f_cdrag_tercdhn(i)FH(i)
582	ELSE
583	!'''''''''''''''
584	! Cas stables :
585	!'''''''''''''''
586	zri(i) = MIN(20.,zri(i))
587	SELECT CASE (iflag_corr_sta)
588	CASE (1) ! Louis 1979 + Mascart 1995
589	FM(i)=MAX(1./((1+BPRIMEzri(i))*2),f_ri_cd_min)
590	FH(i)=FM(i)
591	CASE (2) ! Louis 1982
592	zscf = SQRT(1.+CD*ABS(zri(i)))
593	FM(i)= AMAX1(1. / (1.+2.CBzri(i)/zscf), f_ri_cd_min)
594	FH(i)= AMAX1(1./ (1.+3.CBzri(i)*zscf), f_ri_cd_min )
595	CASE (3) ! Laurent Li
596	FM(i)=MAX(1.0 / (1.0+10.0zri(i)(1+8.0*zri(i))),f_ri_cd_min)
597	FH(i)=FM(i)
598	CASE (4) ! King 2001
599	if (zri(i) .LT. C2/2.) then
600	FM(i)=MAX((1.-zri(i)/C2)**2,f_ri_cd_min)
601	FH(i)= FM(i)
602	else
603	FM(i)=MAX(C3((C2/zri(i))*2),f_ri_cd_min)
604	FH(i)= FM(i)
605	endif
606	CASE (5) ! MO
607	if (zri(i) .LT. 1./alpha) then
608	FM(i)=MAX((1.-alphazri(i))*2,f_ri_cd_min)
609	FH(i)=FM(i)
610	else
611	FM(i)=MAX(1E-7,f_ri_cd_min)
612	FH(i)=FM(i)
613	endif
614	CASE (6) ! Consistent with turbulence scheme (in stationary case) derived in atke (2023)
615	sm(i) = MAX(0.,cn*(1.-zri(i)/ric))
616	prandtl(i) = pr_neut + zri(i) * pr_slope
617	FM(i) = MAX((sm(i)*(3./2.) sqrt(cepsilon) * (1 - zri(i) / prandtl(i))**(1./2.)),f_ri_cd_min)
618	FH(i) = MAX((FM(i) / prandtl(i)), f_ri_cd_min)
619	CASE default ! Louis 1982
620	zscf = SQRT(1.+CD*ABS(zri(i)))
621	FM(i)= AMAX1(1. / (1.+2.CBzri(i)/zscf), f_ri_cd_min)
622	FH(i)= AMAX1(1./ (1.+3.CBzri(i)*zscf), f_ri_cd_min )
623	END SELECT
624	! Calcul des drags
625	cdm(i)=cdmn(i)*FM(i)
626	cdh(i)=f_cdrag_tercdhn(i)FH(i)
627	ENDIF
628	ENDIF ! fin du if (nsrf == is_oce)
629	END DO ! Fin de la boucle sur l'horizontal
630
631	END SUBROUTINE cdrag
632
633	END MODULE cdrag_mod

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