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cdrag_mod.F90 @ 5441

Last change on this file since 5441 was 5202, checked in by Laurent Fairhead, 3 months ago
Updating cirrus branch to trunk revision 5171
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1	!
2	!$Id: cdrag_mod.F90 5202 2024-09-20 10:32:04Z fhourdin $
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 coare_cp_mod, ONLY: coare_cp
26	USE coare30_flux_cnrm_mod, ONLY: coare30_flux_cnrm
27	USE indice_sol_mod
28	USE print_control_mod, ONLY: lunout, prt_level
29	USE ioipsl_getin_p_mod, ONLY : getin_p
30	USE lmdz_atke_turbulence_ini, ONLY : smmin, ric, cinf, cepsilon, pr_slope, pr_asym, pr_neut
31
32	IMPLICIT NONE
33	! ================================================================= c
34	!
35	! Objet : calcul des cdrags pour le moment (pcfm) et
36	! les flux de chaleur sensible et latente (pcfh) d'apr??s
37	! Louis 1982, Louis 1979, King et al 2001
38	! ou Zilitinkevich et al 2002 pour les cas stables, Louis 1979
39	! et 1982 pour les cas instables
40	!
41	! Modified history:
42	! writting on the 20/05/2016
43	! modified on the 13/12/2016 to be adapted to LMDZ6
44	!
45	! References:
46	! Louis, J. F., 1979: A parametric model of vertical eddy fluxes in the
47	! atmosphere. Boundary-Layer Meteorology. 01/1979; 17(2):187-202.
48	! Louis, J. F., Tiedtke, M. and Geleyn, J. F., 1982: `A short history of the
49	! operational PBL parametrization at ECMWF'. Workshop on boundary layer
50	! parametrization, November 1981, ECMWF, Reading, England.
51	! Page: 19. Equations in Table 1.
52	! Mascart P, Noilhan J, Giordani H 1995.A MODIFIED PARAMETERIZATION OF FLUX-PROFILE RELATIONSHIPS
53	! IN THE SURFACE LAYER USING DIFFERENT ROUGHNESS LENGTH VALUES FOR HEAT AND MOMENTUM
54	! Boundary-Layer Meteorology 72: 331-344
55	! Anton Beljaars. May 1992. The parametrization of the planetary boundary layer.
56	! European Centre for Medium-Range Weather Forecasts.
57	! Equations: 110-113. Page 40.
58	! Miller,M.J., A.C.M.Beljaars, T.N.Palmer. 1992. The sensitivity of the ECMWF
59	! model to the parameterization of evaporation from the tropical oceans. J.
60	! Climate, 5:418-434.
61	! King J.C, Connolley, W.M ad Derbyshire S.H. 2001, Sensitivity of Modelled Antarctic climate
62	! to surface and boundary-layer flux parametrizations
63	! QJRMS, 127, pp 779-794
64	!
65	! ================================================================= c
66	! ================================================================= c
67	! On choisit le couple de fonctions de correction avec deux flags:
68	! Un pour les cas instables, un autre pour les cas stables
69	!
70	! iflag_corr_insta:
71	! 1: Louis 1979 avec les modifications de Mascart 1995 (z0/= z0h)
72	! 2: Louis 1982
73	! 3: Laurent Li
74	!
75	! iflag_corr_sta:
76	! 1: Louis 1979 avec les modifications de Mascart 1995 (z0/= z0h)
77	! 2: Louis 1982
78	! 3: Laurent Li
79	! 4: King 2001 (SHARP)
80	! 5: MO 1st order theory (allow collapse of turbulence)
81	!
82	!
83	!*****************************************************************
84	! Parametres d'entree
85	!*****************************************************************
86
87	INTEGER, INTENT(IN) :: knon, nsrf ! nombre de points de grille sur l'horizontal + type de surface
88	REAL, DIMENSION(klon), INTENT(IN) :: speed ! module du vent au 1er niveau du modele
89	REAL, DIMENSION(klon), INTENT(IN) :: zgeop1 ! geopotentiel au 1er niveau du modele
90	REAL, DIMENSION(klon), INTENT(IN) :: tsurf ! Surface temperature (K)
91	REAL, DIMENSION(klon), INTENT(IN) :: qsurf ! Surface humidity (Kg/Kg)
92	REAL, DIMENSION(klon), INTENT(INOUT) :: z0m, z0h ! Rugosity at surface (m)
93	REAL, DIMENSION(klon), INTENT(IN) :: ri_in ! Input Richardson 1st layer for first guess calculations of screen var.
94	INTEGER, INTENT(IN) :: iri_in! iflag to activate cdrag calculation using ri1
95	REAL, DIMENSION(klon), INTENT(IN) :: t1 ! Temperature au premier niveau (K)
96	REAL, DIMENSION(klon), INTENT(IN) :: q1 ! humidite specifique au premier niveau (kg/kg)
97	REAL, DIMENSION(klon), INTENT(IN) :: psol ! pression au sol
98
99	!------------------ Rajout pour COARE (OT2018) --------------------
100	REAL, DIMENSION(klon), INTENT(INOUT) :: pblh !hauteur de CL
101	REAL, DIMENSION(klon), INTENT(IN) :: prain !rapport au precipitation
102	REAL, DIMENSION(klon), INTENT(IN) :: tsol !SST imposé sur la surface oceanique
103	REAL, DIMENSION(klon), INTENT(IN) :: pat1 !pression premier lev
104
105
106
107	! Parametres de sortie
108	!******************************************************************
109	REAL, DIMENSION(klon), INTENT(OUT) :: cdm ! Drag coefficient for momentum
110	REAL, DIMENSION(klon), INTENT(OUT) :: cdh ! Drag coefficient for heat flux
111	REAL, DIMENSION(klon), INTENT(OUT) :: zri ! Richardson number
112	REAL, DIMENSION(klon), INTENT(INOUT) :: pref ! Pression au niveau zgeop/RG
113
114	! Variables Locales
115	!******************************************************************
116
117
118	INCLUDE "YOMCST.h"
119	INCLUDE "YOETHF.h"
120	INCLUDE "clesphys.h"
121
122
123	REAL, PARAMETER :: CKAP=0.40, CKAPT=0.42
124	REAL CEPDU2
125	REAL ALPHA
126	REAL CB,CC,CD,C2,C3
127	REAL MU, CM, CH, B, CMstar, CHstar
128	REAL PM, PH, BPRIME
129	INTEGER ng_q1 ! Number of grids that q1 < 0.0
130	INTEGER ng_qsurf ! Number of grids that qsurf < 0.0
131	INTEGER i, k
132	REAL zdu2, ztsolv
133	REAL ztvd, zscf
134	REAL zucf, zcr
135	REAL, DIMENSION(klon) :: FM, FH ! stability functions
136	REAL, DIMENSION(klon) :: cdmn, cdhn ! Drag coefficient in neutral conditions
137	REAL zzzcd
138	REAL, DIMENSION(klon) :: sm, prandtl ! Stability function from atke turbulence scheme
139	REAL ri0, ri1, cn ! to have dimensionless term in sm and prandtl
140
141	!------------------ Rajout (OT2018) --------------------
142	!------------------ Rajout pour les appelles BULK (OT) --------------------
143	REAL, DIMENSION(klon,2) :: rugos_itm
144	REAL, DIMENSION(klon,2) :: rugos_ith
145	REAL, PARAMETER :: tol_it_rugos=1.e-4
146	REAL, DIMENSION(3) :: coeffs
147	LOGICAL :: mixte
148	REAL :: z_0m
149	REAL :: z_0h
150	REAL, DIMENSION(klon) :: cdmm
151	REAL, DIMENSION(klon) :: cdhh
152
153	!------------------RAJOUT POUR ECUME -------------------
154
155	REAL, DIMENSION(klon) :: PQSAT
156	REAL, DIMENSION(klon) :: PSFTH
157	REAL, DIMENSION(klon) :: PFSTQ
158	REAL, DIMENSION(klon) :: PUSTAR
159	REAL, DIMENSION(klon) :: PCD ! Drag coefficient for momentum
160	REAL, DIMENSION(klon) :: PCDN ! Drag coefficient for momentum
161	REAL, DIMENSION(klon) :: PCH ! Drag coefficient for momentum
162	REAL, DIMENSION(klon) :: PCE ! Drag coefficient for momentum
163	REAL, DIMENSION(klon) :: PRI
164	REAL, DIMENSION(klon) :: PRESA
165	REAL, DIMENSION(klon) :: PSSS
166
167	LOGICAL :: OPRECIP
168	LOGICAL :: OPWEBB
169	LOGICAL :: OPERTFLUX
170	LOGICAL :: LPRECIP
171	LOGICAL :: LPWG
172
173
174
175	LOGICAL, SAVE :: firstcall = .TRUE.
176	!$OMP THREADPRIVATE(firstcall)
177	INTEGER, SAVE :: iflag_corr_sta
178	!$OMP THREADPRIVATE(iflag_corr_sta)
179	INTEGER, SAVE :: iflag_corr_insta
180	!$OMP THREADPRIVATE(iflag_corr_insta)
181	LOGICAL, SAVE :: ok_cdrag_iter
182	!$OMP THREADPRIVATE(ok_cdrag_iter)
183
184	!===================================================================c
185	! Valeurs numeriques des constantes
186	!===================================================================c
187
188
189	! Minimum du carre du vent
190
191	CEPDU2 = (0.1)**2
192
193	! Louis 1982
194
195	CB=5.0
196	CC=5.0
197	CD=5.0
198
199
200	! King 2001
201
202	C2=0.25
203	C3=0.0625
204
205
206	! Louis 1979
207
208	BPRIME=4.7
209	B=9.4
210
211
212	!MO
213
214	ALPHA=5.0
215
216	! Consistent with atke scheme
217	cn=(1./sqrt(cepsilon))**(2./3.)
218	ri0=2./rpi(cinf - cn)ric/cn
219	ri1=-2./rpi * (pr_asym - pr_neut)/pr_slope
220
221
222	! ================================================================= c
223	! Tests avant de commencer
224	! Fuxing WANG, 04/03/2015
225	! To check if there are negative q1, qsurf values.
226	!====================================================================c
227	ng_q1 = 0 ! Initialization
228	ng_qsurf = 0 ! Initialization
229	DO i = 1, knon
230	IF (q1(i).LT.0.0) ng_q1 = ng_q1 + 1
231	IF (qsurf(i).LT.0.0) ng_qsurf = ng_qsurf + 1
232	ENDDO
233	IF (ng_q1.GT.0 .and. prt_level > 5) THEN
234	WRITE(lunout,)" ** Warning: Negative q1(humidity at 1st level) values in cdrag.F90 !"
235	WRITE(lunout,*)" The total number of the grids is: ", ng_q1
236	WRITE(lunout,*)" The negative q1 is set to zero "
237	! abort_message="voir ci-dessus"
238	! CALL abort_physic(modname,abort_message,1)
239	ENDIF
240	IF (ng_qsurf.GT.0 .and. prt_level > 5) THEN
241	WRITE(lunout,)" ** Warning: Negative qsurf(humidity at surface) values in cdrag.F90 !"
242	WRITE(lunout,*)" The total number of the grids is: ", ng_qsurf
243	WRITE(lunout,*)" The negative qsurf is set to zero "
244	! abort_message="voir ci-dessus"
245	! CALL abort_physic(modname,abort_message,1)
246	ENDIF
247
248
249
250	!=============================================================================c
251	! Calcul du cdrag
252	!=============================================================================c
253
254	! On choisit les fonctions de stabilite utilisees au premier appel
255	!**************************************************************************
256	IF (firstcall) THEN
257	iflag_corr_sta=2
258	iflag_corr_insta=2
259	ok_cdrag_iter = .FALSE.
260
261	CALL getin_p('iflag_corr_sta',iflag_corr_sta)
262	CALL getin_p('iflag_corr_insta',iflag_corr_insta)
263	CALL getin_p('ok_cdrag_iter',ok_cdrag_iter)
264
265	firstcall = .FALSE.
266	ENDIF
267
268	!------------------ Rajout (OT2018) --------------------
269	!--------- Rajout pour itération sur rugosité ----------------
270	rugos_itm(:,2) = z0m
271	rugos_itm(:,1) = 3.tol_it_rugosz0m
272
273	rugos_ith(:,2) = z0h !cp nouveau rugos_it
274	rugos_ith(:,1) = 3.tol_it_rugosz0h
275	!--------------------------------------------------------------------
276
277	!xxxxxxxxxxxxxxxxxxxxxxx
278	DO i = 1, knon ! Boucle sur l'horizontal
279	!xxxxxxxxxxxxxxxxxxxxxxx
280
281
282	! calculs preliminaires:
283	!***********************
284
285	zdu2 = MAX(CEPDU2, speed(i)**2)
286	pref(i) = EXP(LOG(psol(i)) - zgeop1(i)/(RDt1(i) &
287	(1.+ RETV * max(q1(i),0.0)))) ! negative q1 set to zero
288	ztsolv = tsurf(i) * (1.0+RETV*max(qsurf(i),0.0)) ! negative qsurf set to zero
289	ztvd = (t1(i)+zgeop1(i)/RCPD/(1.+RVTMP2*q1(i))) &
290	(1.+RETVmax(q1(i),0.0)) ! negative q1 set to zero
291
292	!------------------ Rajout (OT2018) --------------------
293	!-------------- ON DUPLIQUE POUR METTRE ITERATION SUR OCEAN ------------------------
294	IF (iri_in.EQ.1) THEN
295	zri(i) = ri_in(i)
296	ENDIF
297
298	IF (nsrf == is_oce) THEN
299
300	!------------------ Pour Core 2 choix Core Pur ou Core Mixte --------------------
301	IF ((choix_bulk > 1 .AND. choix_bulk < 4) .AND. (nsrf .eq. is_oce)) THEN
302	IF(choix_bulk .eq. 2) THEN
303	mixte = .false.
304	ELSE
305	mixte = .true.
306	ENDIF
307	call clc_core_cp ( sqrt(zdu2),t1(i)-tsurf(i),q1(i)-qsurf(i),t1(i),q1(i),&
308	zgeop1(i)/RG, zgeop1(i)/RG, zgeop1(i)/RG,&
309	psol(i),nit_bulk,mixte,&
310	coeffs,z_0m,z_0h)
311	cdmm(i) = coeffs(1)
312	cdhh(i) = coeffs(2)
313	cdm(i)=cdmm(i)
314	cdh(i)=cdhh(i)
315	write(,) "clc_core cd ch",cdmm(i),cdhh(i)
316
317	!------------------ Pour ECUME --------------------
318	ELSE IF ((choix_bulk .eq. 4) .and. (nsrf .eq. is_oce)) THEN
319	OPRECIP = .false.
320	OPWEBB = .false.
321	OPERTFLUX = .false.
322	IF (nsrf .eq. is_oce) THEN
323	PSSS = 0.0
324	ENDIF
325	call ini_csts
326	call ecumev6_flux( z_0m,t1(i),tsurf(i),&
327	q1(i),qsurf(i),sqrt(zdu2),zgeop1(i)/RG,PSSS,zgeop1(i)/RG,&
328	psol(i),pat1(i), OPRECIP, OPWEBB,&
329	PSFTH,PFSTQ,PUSTAR,PCD,PCDN,&
330	PCH,PCE,PRI,PRESA,prain,&
331	z_0h,OPERTFLUX,coeffs)
332
333	cdmm(i) = coeffs(1)
334	cdhh(i) = coeffs(2)
335	cdm(i)=cdmm(i)
336	cdh(i)=cdhh(i)
337
338	write(,) "ecume cd ch",cdmm(i),cdhh(i)
339
340	!------------------ Pour COARE CNRM --------------------
341	ELSE IF ((choix_bulk .eq. 5) .and. (nsrf .eq. is_oce)) THEN
342	LPRECIP = .false.
343	LPWG = .false.
344	call ini_csts
345	block
346	real, dimension(1) :: z0m_1d, z_0h_1d, sqrt_zdu2_1d, zgeop1_rg_1d ! convert scalar to 1D for call
347	z0m_1d = z0m
348	z_0h_1d = z0h
349	sqrt_zdu2_1d = sqrt(zdu2)
350	zgeop1_rg_1d=zgeop1(i)/RG
351	call coare30_flux_cnrm(z0m_1d,t1(i),tsurf(i), q1(i), &
352	sqrt_zdu2_1d,zgeop1_rg_1d,zgeop1_rg_1d,psol(i),qsurf(i),PQSAT, &
353	PSFTH,PFSTQ,PUSTAR,PCD,PCDN,PCH,PCE,PRI, &
354	PRESA,prain,pat1(i),z_0h_1d, LPRECIP, LPWG, coeffs)
355
356	end block
357	cdmm(i) = coeffs(1)
358	cdhh(i) = coeffs(2)
359	cdm(i)=cdmm(i)
360	cdh(i)=cdhh(i)
361	write(,) "coare CNRM cd ch",cdmm(i),cdhh(i)
362
363	!------------------ Pour COARE Maison --------------------
364	ELSE IF ((choix_bulk .eq. 1) .and. (nsrf .eq. is_oce)) THEN
365	IF ( pblh(i) .eq. 0. ) THEN
366	pblh(i) = 1500.
367	ENDIF
368	write(,) "debug size",size(coeffs)
369	call coare_cp(sqrt(zdu2),t1(i)-tsurf(i),q1(i)-qsurf(i),&
370	t1(i),q1(i),&
371	zgeop1(i)/RG,zgeop1(i)/RG,zgeop1(i)/RG,&
372	psol(i), pblh(i),&
373	nit_bulk,&
374	coeffs,z_0m,z_0h)
375	cdmm(i) = coeffs(1)
376	cdhh(i) = coeffs(3)
377	cdm(i)=cdmm(i)
378	cdh(i)=cdhh(i)
379	write(,) "coare cd ch",cdmm(i),cdhh(i)
380	ELSE
381	!------------------ Pour La param LMDZ (ocean) --------------------
382	zri(i) = zgeop1(i)(ztvd-ztsolv)/(zdu2ztvd)
383	IF (iri_in.EQ.1) THEN
384	zri(i) = ri_in(i)
385	ENDIF
386	ENDIF
387
388
389	!----------------------- Rajout des itérations --------------
390	DO k=1,nit_bulk
391
392	! Coefficients CD neutres : k^2/ln(z/z0) et k^2/(ln(z/z0)*ln(z/z0h)):
393	!********************************************************************
394	zzzcd=CKAP/LOG(1.+zgeop1(i)/(RG*rugos_itm(i,2)))
395	cdmn(i) = zzzcd*zzzcd
396	cdhn(i) = zzzcd(CKAP/LOG(1.+zgeop1(i)/(RGrugos_ith(i,2))))
397
398	! Calcul des fonctions de stabilite FMs, FHs, FMi, FHi :
399	!*******************************************************
400	IF (zri(i) .LT. 0.) THEN
401	SELECT CASE (iflag_corr_insta)
402	CASE (1) ! Louis 1979 + Mascart 1995
403	MU=LOG(MAX(z0m(i)/z0h(i),0.01))
404	CMstar=6.8741+2.6933MU-0.3601(MU*2)+0.0154(MU**3)
405	PM=0.5233-0.0815MU+0.0135(MU*2)-0.001(MU**3)
406	CHstar=3.2165+4.3431MU+0.536(MU*2)-0.0781(MU**3)
407	PH=0.5802-0.1571MU+0.0327(MU*2)-0.0026(MU**3)
408	CH=CHstarBCKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) &
409	& * CKAPT/LOG(z0h(i)+zgeop1(i)/(RG*z0h(i))) &
410	& * ((zgeop1(i)/(RGz0h(i)))*PH)
411	CM=CMstarBCKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) &
412	& CKAP/LOG(z0m(i)+zgeop1(i)/(RGz0m(i))) &
413	& * ((zgeop1(i)/(RGz0m(i)))*PM)
414	FM(i)=1.-Bzri(i)/(1.+CMSQRT(ABS(zri(i))))
415	FH(i)=1.-Bzri(i)/(1.+CHSQRT(ABS(zri(i))))
416	CASE (2) ! Louis 1982
417	zucf = 1./(1.+3.0CBCCcdmn(i)SQRT(ABS(zri(i)) &
418	(1.0+zgeop1(i)/(RGz0m(i)))))
419	FM(i) = AMAX1((1.-2.0CBzri(i)*zucf),f_ri_cd_min)
420	FH(i) = AMAX1((1.-3.0CBzri(i)*zucf),f_ri_cd_min)
421	CASE (3) ! Laurent Li
422	FM(i) = MAX(SQRT(1.0-18.0*zri(i)),f_ri_cd_min)
423	FH(i) = MAX(SQRT(1.0-18.0*zri(i)),f_ri_cd_min)
424	CASE (6) ! Consistent with turbulence scheme (in stationary case) derived in atke (2023)
425	sm(i) = 2./rpi * (cinf - cn) * atan(-zri(i)/ri0) + cn
426	prandtl(i) = -2./rpi * (pr_asym - pr_neut) * atan(zri(i)/ri1) + pr_neut
427	FM(i) = MAX((sm(i)*(3./2.) sqrt(cepsilon) * (1 - zri(i) / prandtl(i))**(1./2.)),f_ri_cd_min)
428	FH(i) = MAX((FM(i) / prandtl(i)), f_ri_cd_min)
429	CASE default ! Louis 1982
430	zucf = 1./(1.+3.0CBCCcdmn(i)SQRT(ABS(zri(i)) &
431	(1.0+zgeop1(i)/(RGz0m(i)))))
432	FM(i) = AMAX1((1.-2.0CBzri(i)*zucf),f_ri_cd_min)
433	FH(i) = AMAX1((1.-3.0CBzri(i)*zucf),f_ri_cd_min)
434	END SELECT
435	! Calcul des drags
436	cdmm(i)=cdmn(i)*FM(i)
437	cdhh(i)=f_cdrag_tercdhn(i)FH(i)
438	! Traitement particulier des cas oceaniques
439	! on applique Miller et al 1992 en l'absence de gustiness
440	IF (nsrf == is_oce) THEN
441	! cdh(i)=f_cdrag_ocecdhn(i)FH(i)
442	IF (iflag_gusts==0) THEN
443	zcr = (0.0016/(cdmn(i)SQRT(zdu2)))ABS(ztvd-ztsolv)**(1./3.)
444	cdhh(i) =f_cdrag_oce* cdhn(i)(1.0+zcr1.25)*(1./1.25)
445	ENDIF
446	cdmm(i)=MIN(cdmm(i),cdmmax)
447	cdhh(i)=MIN(cdhh(i),cdhmax)
448	! write(,) "LMDZ cd ch",cdmm(i),cdhh(i)
449	END IF
450	ELSE
451
452	!'''''''''''''''
453	! Cas stables :
454	!'''''''''''''''
455	zri(i) = MIN(20.,zri(i))
456	SELECT CASE (iflag_corr_sta)
457	CASE (1) ! Louis 1979 + Mascart 1995
458	FM(i)=MAX(1./((1+BPRIMEzri(i))*2),f_ri_cd_min)
459	FH(i)=FM(i)
460	CASE (2) ! Louis 1982
461	zscf = SQRT(1.+CD*ABS(zri(i)))
462	FM(i)= AMAX1(1. / (1.+2.CBzri(i)/zscf), f_ri_cd_min)
463	FH(i)= AMAX1(1./ (1.+3.CBzri(i)*zscf), f_ri_cd_min )
464	CASE (3) ! Laurent Li
465	FM(i)=MAX(1.0 / (1.0+10.0zri(i)(1+8.0*zri(i))),f_ri_cd_min)
466	FH(i)=FM(i)
467	CASE (4) ! King 2001
468	IF (zri(i) .LT. C2/2.) THEN
469	FM(i)=MAX((1.-zri(i)/C2)**2,f_ri_cd_min)
470	FH(i)= FM(i)
471	ELSE
472	FM(i)=MAX(C3((C2/zri(i))*2),f_ri_cd_min)
473	FH(i)= FM(i)
474	ENDIF
475	CASE (5) ! MO
476	if (zri(i) .LT. 1./alpha) then
477	FM(i)=MAX((1.-alphazri(i))*2,f_ri_cd_min)
478	FH(i)=FM(i)
479	else
480	FM(i)=MAX(1E-7,f_ri_cd_min)
481	FH(i)=FM(i)
482	endif
483	CASE (6) ! Consistent with turbulence scheme (in stationary case) derived in atke (2023)
484	sm(i) = MAX(smmin,cn*(1.-zri(i)/ric))
485	! prandlt expression from venayagamoorthy and stretch 2010, Li et al 2019
486	prandtl(i) = pr_neutexp(-pr_slope/pr_neutzri(i)+zri(i)/pr_neut) &
487	+ zri(i) * pr_slope
488	FM(i) = MAX((sm(i)*(3./2.) sqrt(cepsilon) * (1 - zri(i) / prandtl(i))**(1./2.)),f_ri_cd_min)
489	FH(i) = MAX((FM(i) / prandtl(i)), f_ri_cd_min)
490	CASE default ! Louis 1982
491	zscf = SQRT(1.+CD*ABS(zri(i)))
492	FM(i)= AMAX1(1. / (1.+2.CBzri(i)/zscf), f_ri_cd_min)
493	FH(i)= AMAX1(1./ (1.+3.CBzri(i)*zscf), f_ri_cd_min )
494	END SELECT
495
496	! Calcul des drags
497
498	cdmm(i)=cdmn(i)*FM(i)
499	cdhh(i)=f_cdrag_tercdhn(i)FH(i)
500
501	IF (choix_bulk == 0) THEN
502	cdm(i)=cdmn(i)*FM(i)
503	cdh(i)=f_cdrag_tercdhn(i)FH(i)
504	ENDIF
505
506	IF (nsrf.EQ.is_oce) THEN
507	cdhh(i)=f_cdrag_ocecdhn(i)FH(i)
508	cdmm(i)=MIN(cdmm(i),cdmmax)
509	cdhh(i)=MIN(cdhh(i),cdhmax)
510	ENDIF
511	IF (ok_cdrag_iter) THEN
512	rugos_itm(i,1) = rugos_itm(i,2)
513	rugos_ith(i,1) = rugos_ith(i,2)
514	rugos_itm(i,2) = 0.018cdmm(i) (speed(i))/RG &
515	+ 0.1114e-6 / SQRT(cdmm(i) zdu2)
516
517	!---------- Version SEPARATION DES Z0 ----------------------
518	IF (iflag_z0_oce==0) THEN
519	rugos_ith(i,2) = rugos_itm(i,2)
520	ELSE IF (iflag_z0_oce==1) THEN
521	rugos_ith(i,2) = 0.4014e-6 / SQRT(cdmm(i) zdu2)
522	ENDIF
523	ENDIF
524	ENDIF
525	IF (ok_cdrag_iter) THEN
526	rugos_itm(i,2) = MAX(1.5e-05,rugos_itm(i,2))
527	rugos_ith(i,2) = MAX(1.5e-05,rugos_ith(i,2))
528	ENDIF
529	ENDDO
530	IF (nsrf.EQ.is_oce) THEN
531	cdm(i)=MIN(cdmm(i),cdmmax)
532	cdh(i)=MIN(cdhh(i),cdhmax)
533	ENDIF
534	z0m = rugos_itm(:,2)
535	z0h = rugos_ith(:,2)
536	ELSE ! (nsrf == is_oce)
537	zri(i) = zgeop1(i)(ztvd-ztsolv)/(zdu2ztvd)
538	IF (iri_in.EQ.1) THEN
539	zri(i) = ri_in(i)
540	ENDIF
541
542	! Coefficients CD neutres : k^2/ln(z/z0) et k^2/(ln(z/z0)*ln(z/z0h)):
543	!********************************************************************
544	zzzcd=CKAP/LOG(1.+zgeop1(i)/(RG*z0m(i)))
545	cdmn(i) = zzzcd*zzzcd
546	cdhn(i) = zzzcd(CKAP/LOG(1.+zgeop1(i)/(RGz0h(i))))
547
548
549	! Calcul des fonctions de stabilit?? FMs, FHs, FMi, FHi :
550	!*******************************************************
551	!''''''''''''''
552	! Cas instables
553	!''''''''''''''
554	IF (zri(i) .LT. 0.) THEN
555	SELECT CASE (iflag_corr_insta)
556	CASE (1) ! Louis 1979 + Mascart 1995
557	MU=LOG(MAX(z0m(i)/z0h(i),0.01))
558	CMstar=6.8741+2.6933MU-0.3601(MU*2)+0.0154(MU**3)
559	PM=0.5233-0.0815MU+0.0135(MU*2)-0.001(MU**3)
560	CHstar=3.2165+4.3431MU+0.536(MU*2)-0.0781(MU**3)
561	PH=0.5802-0.1571MU+0.0327(MU*2)-0.0026(MU**3)
562	CH=CHstarBCKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) &
563	& * CKAPT/LOG(z0h(i)+zgeop1(i)/(RG*z0h(i))) &
564	& * ((zgeop1(i)/(RGz0h(i)))*PH)
565	CM=CMstarBCKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) &
566	& CKAP/LOG(z0m(i)+zgeop1(i)/(RGz0m(i))) &
567	& * ((zgeop1(i)/(RGz0m(i)))*PM)
568	FM(i)=1.-Bzri(i)/(1.+CMSQRT(ABS(zri(i))))
569	FH(i)=1.-Bzri(i)/(1.+CHSQRT(ABS(zri(i))))
570	CASE (2) ! Louis 1982
571	zucf = 1./(1.+3.0CBCCcdmn(i)SQRT(ABS(zri(i)) &
572	(1.0+zgeop1(i)/(RGz0m(i)))))
573	FM(i) = AMAX1((1.-2.0CBzri(i)*zucf),f_ri_cd_min)
574	FH(i) = AMAX1((1.-3.0CBzri(i)*zucf),f_ri_cd_min)
575	CASE (3) ! Laurent Li
576	FM(i) = MAX(SQRT(1.0-18.0*zri(i)),f_ri_cd_min)
577	FH(i) = MAX(SQRT(1.0-18.0*zri(i)),f_ri_cd_min)
578	CASE (6) ! Consistent with turbulence scheme (in stationary case) derived in atke (2023)
579	sm(i) = 2./rpi * (cinf - cn) * atan(-zri(i)/ri0) + cn
580	prandtl(i) = -2./rpi * (pr_asym - pr_neut) * atan(zri(i)/ri1) + pr_neut
581	FM(i) = MAX((sm(i)*(3./2.) sqrt(cepsilon) * (1 - zri(i) / prandtl(i))**(1./2.)),f_ri_cd_min)
582	FH(i) = MAX((FM(i) / prandtl(i)), f_ri_cd_min)
583	CASE default ! Louis 1982
584	zucf = 1./(1.+3.0CBCCcdmn(i)SQRT(ABS(zri(i)) &
585	(1.0+zgeop1(i)/(RGz0m(i)))))
586	FM(i) = AMAX1((1.-2.0CBzri(i)*zucf),f_ri_cd_min)
587	FH(i) = AMAX1((1.-3.0CBzri(i)*zucf),f_ri_cd_min)
588	END SELECT
589	! Calcul des drags
590	cdm(i)=cdmn(i)*FM(i)
591	cdh(i)=f_cdrag_tercdhn(i)FH(i)
592	ELSE
593	!'''''''''''''''
594	! Cas stables :
595	!'''''''''''''''
596	zri(i) = MIN(20.,zri(i))
597	SELECT CASE (iflag_corr_sta)
598	CASE (1) ! Louis 1979 + Mascart 1995
599	FM(i)=MAX(1./((1+BPRIMEzri(i))*2),f_ri_cd_min)
600	FH(i)=FM(i)
601	CASE (2) ! Louis 1982
602	zscf = SQRT(1.+CD*ABS(zri(i)))
603	FM(i)= AMAX1(1. / (1.+2.CBzri(i)/zscf), f_ri_cd_min)
604	FH(i)= AMAX1(1./ (1.+3.CBzri(i)*zscf), f_ri_cd_min )
605	CASE (3) ! Laurent Li
606	FM(i)=MAX(1.0 / (1.0+10.0zri(i)(1+8.0*zri(i))),f_ri_cd_min)
607	FH(i)=FM(i)
608	CASE (4) ! King 2001
609	if (zri(i) .LT. C2/2.) then
610	FM(i)=MAX((1.-zri(i)/C2)**2,f_ri_cd_min)
611	FH(i)= FM(i)
612	else
613	FM(i)=MAX(C3((C2/zri(i))*2),f_ri_cd_min)
614	FH(i)= FM(i)
615	endif
616	CASE (5) ! MO
617	if (zri(i) .LT. 1./alpha) then
618	FM(i)=MAX((1.-alphazri(i))*2,f_ri_cd_min)
619	FH(i)=FM(i)
620	else
621	FM(i)=MAX(1E-7,f_ri_cd_min)
622	FH(i)=FM(i)
623	endif
624	CASE (6) ! Consistent with turbulence scheme (in stationary case) derived in atke (2023)
625	sm(i) = MAX(0.,cn*(1.-zri(i)/ric))
626	prandtl(i) = pr_neut + zri(i) * pr_slope
627	FM(i) = MAX((sm(i)*(3./2.) sqrt(cepsilon) * (1 - zri(i) / prandtl(i))**(1./2.)),f_ri_cd_min)
628	FH(i) = MAX((FM(i) / prandtl(i)), f_ri_cd_min)
629	CASE default ! Louis 1982
630	zscf = SQRT(1.+CD*ABS(zri(i)))
631	FM(i)= AMAX1(1. / (1.+2.CBzri(i)/zscf), f_ri_cd_min)
632	FH(i)= AMAX1(1./ (1.+3.CBzri(i)*zscf), f_ri_cd_min )
633	END SELECT
634	! Calcul des drags
635	cdm(i)=cdmn(i)*FM(i)
636	cdh(i)=f_cdrag_tercdhn(i)FH(i)
637	ENDIF
638	ENDIF ! fin du if (nsrf == is_oce)
639	END DO ! Fin de la boucle sur l'horizontal
640
641	END SUBROUTINE cdrag
642
643	END MODULE cdrag_mod

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