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cdrag_mod.F90 @ 4661

Last change on this file since 4661 was 4661, checked in by Laurent Fairhead, 10 months ago
Inclusion and merge of Olivier's modifications
Property svn:executable set to ``*
File size: 24.8 KB

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1	!
2	MODULE cdrag_mod
3	!
4	! This module contains some procedures for calculation of the cdrag
5	! coefficients for turbulent diffusion at surface
6	!
7	IMPLICIT NONE
8
9	CONTAINS
10	!
11	!****************************************************************************************
12	!
13	!r original routine svn3623
14	!
15	SUBROUTINE cdrag(knon, nsrf, &
16	speed, t1, q1, zgeop1, &
17	psol, pblh, tsurf, qsurf, z0m, z0h, &
18	ri_in, iri_in, &
19	cdm, cdh, zri, pref, prain, tsol , pat1)
20
21	USE dimphy
22	USE indice_sol_mod
23	USE print_control_mod, ONLY: lunout, prt_level
24	USE ioipsl_getin_p_mod, ONLY : getin_p
25	USE atke_turbulence_ini_mod, ONLY : ric, cinf, cepsilon, pr_slope, pr_asym, pr_neut
26
27	IMPLICIT NONE
28	! ================================================================= c
29	!
30	! Objet : calcul des cdrags pour le moment (pcfm) et
31	! les flux de chaleur sensible et latente (pcfh) d'apr??s
32	! Louis 1982, Louis 1979, King et al 2001
33	! ou Zilitinkevich et al 2002 pour les cas stables, Louis 1979
34	! et 1982 pour les cas instables
35	!
36	! Modified history:
37	! writting on the 20/05/2016
38	! modified on the 13/12/2016 to be adapted to LMDZ6
39	!
40	! References:
41	! Louis, J. F., 1979: A parametric model of vertical eddy fluxes in the
42	! atmosphere. Boundary-Layer Meteorology. 01/1979; 17(2):187-202.
43	! Louis, J. F., Tiedtke, M. and Geleyn, J. F., 1982: `A short history of the
44	! operational PBL parametrization at ECMWF'. Workshop on boundary layer
45	! parametrization, November 1981, ECMWF, Reading, England.
46	! Page: 19. Equations in Table 1.
47	! Mascart P, Noilhan J, Giordani H 1995.A MODIFIED PARAMETERIZATION OF FLUX-PROFILE RELATIONSHIPS
48	! IN THE SURFACE LAYER USING DIFFERENT ROUGHNESS LENGTH VALUES FOR HEAT AND MOMENTUM
49	! Boundary-Layer Meteorology 72: 331-344
50	! Anton Beljaars. May 1992. The parametrization of the planetary boundary layer.
51	! European Centre for Medium-Range Weather Forecasts.
52	! Equations: 110-113. Page 40.
53	! Miller,M.J., A.C.M.Beljaars, T.N.Palmer. 1992. The sensitivity of the ECMWF
54	! model to the parameterization of evaporation from the tropical oceans. J.
55	! Climate, 5:418-434.
56	! King J.C, Connolley, W.M ad Derbyshire S.H. 2001, Sensitivity of Modelled Antarctic climate
57	! to surface and boundary-layer flux parametrizations
58	! QJRMS, 127, pp 779-794
59	!
60	! ================================================================= c
61	! ================================================================= c
62	! On choisit le couple de fonctions de correction avec deux flags:
63	! Un pour les cas instables, un autre pour les cas stables
64	!
65	! iflag_corr_insta:
66	! 1: Louis 1979 avec les modifications de Mascart 1995 (z0/= z0h)
67	! 2: Louis 1982
68	! 3: Laurent Li
69	!
70	! iflag_corr_sta:
71	! 1: Louis 1979 avec les modifications de Mascart 1995 (z0/= z0h)
72	! 2: Louis 1982
73	! 3: Laurent Li
74	! 4: King 2001 (SHARP)
75	! 5: MO 1st order theory (allow collapse of turbulence)
76	!
77	!
78	!*****************************************************************
79	! Parametres d'entree
80	!*****************************************************************
81
82	INTEGER, INTENT(IN) :: knon, nsrf ! nombre de points de grille sur l'horizontal + type de surface
83	REAL, DIMENSION(klon), INTENT(IN) :: speed ! module du vent au 1er niveau du modele
84	REAL, DIMENSION(klon), INTENT(IN) :: zgeop1 ! geopotentiel au 1er niveau du modele
85	REAL, DIMENSION(klon), INTENT(IN) :: tsurf ! Surface temperature (K)
86	REAL, DIMENSION(klon), INTENT(IN) :: qsurf ! Surface humidity (Kg/Kg)
87	REAL, DIMENSION(klon), INTENT(INOUT) :: z0m, z0h ! Rugosity at surface (m)
88	REAL, DIMENSION(klon), INTENT(IN) :: ri_in ! Input Richardson 1st layer for first guess calculations of screen var.
89	INTEGER, INTENT(IN) :: iri_in! iflag to activate cdrag calculation using ri1
90	REAL, DIMENSION(klon), INTENT(IN) :: t1 ! Temperature au premier niveau (K)
91	REAL, DIMENSION(klon), INTENT(IN) :: q1 ! humidite specifique au premier niveau (kg/kg)
92	REAL, DIMENSION(klon), INTENT(IN) :: psol ! pression au sol
93
94	!------------------ Rajout pour COARE (OT2018) --------------------
95	REAL, DIMENSION(klon), INTENT(INOUT) :: pblh !hauteur de CL
96	REAL, DIMENSION(klon), INTENT(IN) :: prain !rapport au precipitation
97	REAL, DIMENSION(klon), INTENT(IN) :: tsol !SST imposé sur la surface oceanique
98	REAL, DIMENSION(klon), INTENT(IN) :: pat1 !pression premier lev
99
100
101
102	! Parametres de sortie
103	!******************************************************************
104	REAL, DIMENSION(klon), INTENT(OUT) :: cdm ! Drag coefficient for momentum
105	REAL, DIMENSION(klon), INTENT(OUT) :: cdh ! Drag coefficient for heat flux
106	REAL, DIMENSION(klon), INTENT(OUT) :: zri ! Richardson number
107	REAL, DIMENSION(klon), INTENT(INOUT) :: pref ! Pression au niveau zgeop/RG
108
109	! Variables Locales
110	!******************************************************************
111
112
113	INCLUDE "YOMCST.h"
114	INCLUDE "YOETHF.h"
115	INCLUDE "clesphys.h"
116
117
118	REAL, PARAMETER :: CKAP=0.40, CKAPT=0.42
119	REAL CEPDU2
120	REAL ALPHA
121	REAL CB,CC,CD,C2,C3
122	REAL MU, CM, CH, B, CMstar, CHstar
123	REAL PM, PH, BPRIME
124	REAL C
125	INTEGER ng_q1 ! Number of grids that q1 < 0.0
126	INTEGER ng_qsurf ! Number of grids that qsurf < 0.0
127	INTEGER i, k
128	REAL zdu2, ztsolv
129	REAL ztvd, zscf
130	REAL zucf, zcr
131	REAL friv, frih
132	REAL, DIMENSION(klon) :: FM, FH ! stability functions
133	REAL, DIMENSION(klon) :: cdmn, cdhn ! Drag coefficient in neutral conditions
134	REAL zzzcd
135	REAL, DIMENSION(klon) :: sm, prandtl ! Stability function from atke turbulence scheme
136	REAL ri0, ri1, cn ! to have dimensionless term in sm and prandtl
137
138	!------------------ Rajout (OT2018) --------------------
139	!------------------ Rajout pour les appelles BULK (OT) --------------------
140	REAL, DIMENSION(klon,2) :: rugos_itm
141	REAL, DIMENSION(klon,2) :: rugos_ith
142	REAL, PARAMETER :: tol_it_rugos=1.e-4
143	REAL, DIMENSION(3) :: coeffs
144	LOGICAL :: mixte
145	REAL :: z_0m
146	REAL :: z_0h
147	REAL, DIMENSION(klon) :: cdmm
148	REAL, DIMENSION(klon) :: cdhh
149
150	!--------- rajout pour verification --------------------
151
152	REAL, DIMENSION(klon) :: zcdn_h2
153
154
155	!------------------RAJOUT POUR ECUME -------------------
156
157	REAL, DIMENSION(klon) :: PQSAT
158	REAL, DIMENSION(klon) :: PSFTH
159	REAL, DIMENSION(klon) :: PFSTQ
160	REAL, DIMENSION(klon) :: PUSTAR
161	REAL, DIMENSION(klon) :: PCD ! Drag coefficient for momentum
162	REAL, DIMENSION(klon) :: PCDN ! Drag coefficient for momentum
163	REAL, DIMENSION(klon) :: PCH ! Drag coefficient for momentum
164	REAL, DIMENSION(klon) :: PCE ! Drag coefficient for momentum
165	REAL, DIMENSION(klon) :: PRI
166	REAL, DIMENSION(klon) :: PRESA
167	REAL, DIMENSION(klon) :: PSSS
168
169	LOGICAL :: OPRECIP
170	LOGICAL :: OPWEBB
171	LOGICAL :: OPERTFLUX
172	LOGICAL :: LPRECIP
173	LOGICAL :: LPWG
174
175
176
177	LOGICAL, SAVE :: firstcall = .TRUE.
178	!$OMP THREADPRIVATE(firstcall)
179	INTEGER, SAVE :: iflag_corr_sta
180	!$OMP THREADPRIVATE(iflag_corr_sta)
181	INTEGER, SAVE :: iflag_corr_insta
182	!$OMP THREADPRIVATE(iflag_corr_insta)
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
260	CALL getin_p('iflag_corr_sta',iflag_corr_sta)
261	CALL getin_p('iflag_corr_insta',iflag_corr_insta)
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	!----------------------- Rajout des itérations --------------
379	DO k=1,nit_bulk
380
381	! Coefficients CD neutres : k^2/ln(z/z0) et k^2/(ln(z/z0)*ln(z/z0h)):
382	!********************************************************************
383	zzzcd=CKAP/LOG(1.+zgeop1(i)/(RG*rugos_itm(i,2)))
384	cdmn(i) = zzzcd*zzzcd
385	cdhn(i) = zzzcd(CKAP/LOG(1.+zgeop1(i)/(RGrugos_ith(i,2))))
386
387	! Calcul des fonctions de stabilite FMs, FHs, FMi, FHi :
388	!*******************************************************
389	IF (zri(i) .LT. 0.) THEN
390	SELECT CASE (iflag_corr_insta)
391	CASE (1) ! Louis 1979 + Mascart 1995
392	MU=LOG(MAX(z0m(i)/z0h(i),0.01))
393	CMstar=6.8741+2.6933MU-0.3601(MU*2)+0.0154(MU**3)
394	PM=0.5233-0.0815MU+0.0135(MU*2)-0.001(MU**3)
395	CHstar=3.2165+4.3431MU+0.536(MU*2)-0.0781(MU**3)
396	PH=0.5802-0.1571MU+0.0327(MU*2)-0.0026(MU**3)
397	CH=CHstarBCKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) &
398	& * CKAPT/LOG(z0h(i)+zgeop1(i)/(RG*z0h(i))) &
399	& * ((zgeop1(i)/(RGz0h(i)))*PH)
400	CM=CMstarBCKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) &
401	& CKAP/LOG(z0m(i)+zgeop1(i)/(RGz0m(i))) &
402	& * ((zgeop1(i)/(RGz0m(i)))*PM)
403	FM(i)=1.-Bzri(i)/(1.+CMSQRT(ABS(zri(i))))
404	FH(i)=1.-Bzri(i)/(1.+CHSQRT(ABS(zri(i))))
405	CASE (2) ! Louis 1982
406	zucf = 1./(1.+3.0CBCCcdmn(i)SQRT(ABS(zri(i)) &
407	(1.0+zgeop1(i)/(RGz0m(i)))))
408	FM(i) = AMAX1((1.-2.0CBzri(i)*zucf),f_ri_cd_min)
409	FH(i) = AMAX1((1.-3.0CBzri(i)*zucf),f_ri_cd_min)
410	CASE (3) ! Laurent Li
411	FM(i) = MAX(SQRT(1.0-18.0*zri(i)),f_ri_cd_min)
412	FH(i) = MAX(SQRT(1.0-18.0*zri(i)),f_ri_cd_min)
413	CASE (6) ! Consistent with turbulence scheme (in stationary case) derived in atke (2023)
414	sm(i) = 2./rpi * (cinf - cn) * atan(-zri(i)/ri0) + cn
415	prandtl(i) = -2./rpi * (pr_asym - pr_neut) * atan(zri(i)/ri1) + pr_neut
416	FM(i) = MAX((sm(i)*(3/2) sqrt(cepsilon) * (1 - zri(i) / prandtl(i))**(1/2)),f_ri_cd_min)
417	FH(i) = MAX((FM(i) / prandtl(i)), f_ri_cd_min)
418	CASE default ! Louis 1982
419	zucf = 1./(1.+3.0CBCCcdmn(i)SQRT(ABS(zri(i)) &
420	(1.0+zgeop1(i)/(RGz0m(i)))))
421	FM(i) = AMAX1((1.-2.0CBzri(i)*zucf),f_ri_cd_min)
422	FH(i) = AMAX1((1.-3.0CBzri(i)*zucf),f_ri_cd_min)
423	END SELECT
424	! Calcul des drags
425	cdmm(i)=cdmn(i)*FM(i)
426	cdhh(i)=f_cdrag_tercdhn(i)FH(i)
427	! Traitement particulier des cas oceaniques
428	! on applique Miller et al 1992 en l'absence de gustiness
429	IF (nsrf == is_oce) THEN
430	! cdh(i)=f_cdrag_ocecdhn(i)FH(i)
431	IF (iflag_gusts==0) THEN
432	zcr = (0.0016/(cdmn(i)SQRT(zdu2)))ABS(ztvd-ztsolv)**(1./3.)
433	cdhh(i) =f_cdrag_oce* cdhn(i)(1.0+zcr1.25)*(1./1.25)
434	ENDIF
435	cdmm(i)=MIN(cdmm(i),cdmmax)
436	cdhh(i)=MIN(cdhh(i),cdhmax)
437	write(,) "LMDZ cd ch",cdmm(i),cdhh(i)
438	END IF
439	ELSE
440
441	!'''''''''''''''
442	! Cas stables :
443	!'''''''''''''''
444	zri(i) = MIN(20.,zri(i))
445	SELECT CASE (iflag_corr_sta)
446	CASE (1) ! Louis 1979 + Mascart 1995
447	FM(i)=MAX(1./((1+BPRIMEzri(i))*2),f_ri_cd_min)
448	FH(i)=FM(i)
449	CASE (2) ! Louis 1982
450	zscf = SQRT(1.+CD*ABS(zri(i)))
451	FM(i)= AMAX1(1. / (1.+2.CBzri(i)/zscf), f_ri_cd_min)
452	FH(i)= AMAX1(1./ (1.+3.CBzri(i)*zscf), f_ri_cd_min )
453	CASE (3) ! Laurent Li
454	FM(i)=MAX(1.0 / (1.0+10.0zri(i)(1+8.0*zri(i))),f_ri_cd_min)
455	FH(i)=FM(i)
456	CASE (4) ! King 2001
457	IF (zri(i) .LT. C2/2.) THEN
458	FM(i)=MAX((1.-zri(i)/C2)**2,f_ri_cd_min)
459	FH(i)= FM(i)
460	ELSE
461	FM(i)=MAX(C3((C2/zri(i))*2),f_ri_cd_min)
462	FH(i)= FM(i)
463	ENDIF
464	CASE (5) ! MO
465	if (zri(i) .LT. 1./alpha) then
466	FM(i)=MAX((1.-alphazri(i))*2,f_ri_cd_min)
467	FH(i)=FM(i)
468	else
469	FM(i)=MAX(1E-7,f_ri_cd_min)
470	FH(i)=FM(i)
471	endif
472	CASE (6) ! Consistent with turbulence scheme (in stationary case) derived in atke (2023)
473	sm(i) = MAX(0.,cn*(1.-zri(i)/ric))
474	prandtl(i) = pr_neut + zri(i) * pr_slope
475	FM(i) = MAX((sm(i)*(3/2) sqrt(cepsilon) * (1 - zri(i) / prandtl(i))**(1/2)),f_ri_cd_min)
476	FH(i) = MAX((FM(i) / prandtl(i)), f_ri_cd_min)
477	CASE default ! Louis 1982
478	zscf = SQRT(1.+CD*ABS(zri(i)))
479	FM(i)= AMAX1(1. / (1.+2.CBzri(i)/zscf), f_ri_cd_min)
480	FH(i)= AMAX1(1./ (1.+3.CBzri(i)*zscf), f_ri_cd_min )
481	END SELECT
482	! Calcul des drags
483	cdmm(i)=cdmn(i)*FM(i)
484	cdhh(i)=f_cdrag_tercdhn(i)FH(i)
485	IF (nsrf.EQ.is_oce) THEN
486	cdhh(i)=f_cdrag_ocecdhn(i)FH(i)
487	cdmm(i)=MIN(cdm(i),cdmmax)
488	cdhh(i)=MIN(cdh(i),cdhmax)
489	ENDIF
490	rugos_itm(i,1) = rugos_itm(i,2)
491	rugos_ith(i,1) = rugos_ith(i,2)
492	rugos_itm(i,2) = 0.018cdmm(i) (speed(i))/RG &
493	+ 0.1114e-6 / SQRT(cdmm(i) zdu2)
494
495	!---------- Version SEPARATION DES Z0 ----------------------
496	IF (iflag_z0_oce==0) THEN
497	rugos_ith(i,2) = rugos_itm(i,2)
498	ELSE IF (iflag_z0_oce==1) THEN
499	rugos_ith(i,2) = 0.4014e-6 / SQRT(cdmm(i) zdu2)
500	ENDIF
501	ENDIF
502	rugos_itm(i,2) = MAX(1.5e-05,rugos_itm(i,2))
503	rugos_ith(i,2) = MAX(1.5e-05,rugos_ith(i,2))
504	ENDDO
505	IF (nsrf.EQ.is_oce) THEN
506	cdm(i)=MIN(cdmm(i),cdmmax)
507	cdh(i)=MIN(cdhh(i),cdhmax)
508	ENDIF
509	z0m = rugos_itm(:,2)
510	z0h = rugos_ith(:,2)
511	ELSE ! (nsrf == is_oce)
512	zri(i) = zgeop1(i)(ztvd-ztsolv)/(zdu2ztvd)
513	IF (iri_in.EQ.1) THEN
514	zri(i) = ri_in(i)
515	ENDIF
516
517	! Coefficients CD neutres : k^2/ln(z/z0) et k^2/(ln(z/z0)*ln(z/z0h)):
518	!********************************************************************
519	zzzcd=CKAP/LOG(1.+zgeop1(i)/(RG*z0m(i)))
520	cdmn(i) = zzzcd*zzzcd
521	cdhn(i) = zzzcd(CKAP/LOG(1.+zgeop1(i)/(RGz0h(i))))
522
523
524	! Calcul des fonctions de stabilit?? FMs, FHs, FMi, FHi :
525	!*******************************************************
526	!''''''''''''''
527	! Cas instables
528	!''''''''''''''
529	IF (zri(i) .LT. 0.) THEN
530	SELECT CASE (iflag_corr_insta)
531	CASE (1) ! Louis 1979 + Mascart 1995
532	MU=LOG(MAX(z0m(i)/z0h(i),0.01))
533	CMstar=6.8741+2.6933MU-0.3601(MU*2)+0.0154(MU**3)
534	PM=0.5233-0.0815MU+0.0135(MU*2)-0.001(MU**3)
535	CHstar=3.2165+4.3431MU+0.536(MU*2)-0.0781(MU**3)
536	PH=0.5802-0.1571MU+0.0327(MU*2)-0.0026(MU**3)
537	CH=CHstarBCKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) &
538	& * CKAPT/LOG(z0h(i)+zgeop1(i)/(RG*z0h(i))) &
539	& * ((zgeop1(i)/(RGz0h(i)))*PH)
540	CM=CMstarBCKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) &
541	& CKAP/LOG(z0m(i)+zgeop1(i)/(RGz0m(i))) &
542	& * ((zgeop1(i)/(RGz0m(i)))*PM)
543	FM(i)=1.-Bzri(i)/(1.+CMSQRT(ABS(zri(i))))
544	FH(i)=1.-Bzri(i)/(1.+CHSQRT(ABS(zri(i))))
545	CASE (2) ! Louis 1982
546	zucf = 1./(1.+3.0CBCCcdmn(i)SQRT(ABS(zri(i)) &
547	(1.0+zgeop1(i)/(RGz0m(i)))))
548	FM(i) = AMAX1((1.-2.0CBzri(i)*zucf),f_ri_cd_min)
549	FH(i) = AMAX1((1.-3.0CBzri(i)*zucf),f_ri_cd_min)
550	CASE (3) ! Laurent Li
551	FM(i) = MAX(SQRT(1.0-18.0*zri(i)),f_ri_cd_min)
552	FH(i) = MAX(SQRT(1.0-18.0*zri(i)),f_ri_cd_min)
553	CASE (6) ! Consistent with turbulence scheme (in stationary case) derived in atke (2023)
554	sm(i) = 2./rpi * (cinf - cn) * atan(-zri(i)/ri0) + cn
555	prandtl(i) = -2./rpi * (pr_asym - pr_neut) * atan(zri(i)/ri1) + pr_neut
556	FM(i) = MAX((sm(i)*(3/2) sqrt(cepsilon) * (1 - zri(i) / prandtl(i))**(1/2)),f_ri_cd_min)
557	FH(i) = MAX((FM(i) / prandtl(i)), f_ri_cd_min)
558	CASE default ! Louis 1982
559	zucf = 1./(1.+3.0CBCCcdmn(i)SQRT(ABS(zri(i)) &
560	(1.0+zgeop1(i)/(RGz0m(i)))))
561	FM(i) = AMAX1((1.-2.0CBzri(i)*zucf),f_ri_cd_min)
562	FH(i) = AMAX1((1.-3.0CBzri(i)*zucf),f_ri_cd_min)
563	END SELECT
564	! Calcul des drags
565	cdm(i)=cdmn(i)*FM(i)
566	cdh(i)=f_cdrag_tercdhn(i)FH(i)
567	ELSE
568	!'''''''''''''''
569	! Cas stables :
570	!'''''''''''''''
571	zri(i) = MIN(20.,zri(i))
572	SELECT CASE (iflag_corr_sta)
573	CASE (1) ! Louis 1979 + Mascart 1995
574	FM(i)=MAX(1./((1+BPRIMEzri(i))*2),f_ri_cd_min)
575	FH(i)=FM(i)
576	CASE (2) ! Louis 1982
577	zscf = SQRT(1.+CD*ABS(zri(i)))
578	FM(i)= AMAX1(1. / (1.+2.CBzri(i)/zscf), f_ri_cd_min)
579	FH(i)= AMAX1(1./ (1.+3.CBzri(i)*zscf), f_ri_cd_min )
580	CASE (3) ! Laurent Li
581	FM(i)=MAX(1.0 / (1.0+10.0zri(i)(1+8.0*zri(i))),f_ri_cd_min)
582	FH(i)=FM(i)
583	CASE (4) ! King 2001
584	if (zri(i) .LT. C2/2.) then
585	FM(i)=MAX((1.-zri(i)/C2)**2,f_ri_cd_min)
586	FH(i)= FM(i)
587	else
588	FM(i)=MAX(C3((C2/zri(i))*2),f_ri_cd_min)
589	FH(i)= FM(i)
590	endif
591	CASE (5) ! MO
592	if (zri(i) .LT. 1./alpha) then
593	FM(i)=MAX((1.-alphazri(i))*2,f_ri_cd_min)
594	FH(i)=FM(i)
595	else
596	FM(i)=MAX(1E-7,f_ri_cd_min)
597	FH(i)=FM(i)
598	endif
599	CASE (6) ! Consistent with turbulence scheme (in stationary case) derived in atke (2023)
600	sm(i) = MAX(0.,cn*(1.-zri(i)/ric))
601	prandtl(i) = pr_neut + zri(i) * pr_slope
602	FM(i) = MAX((sm(i)*(3/2) sqrt(cepsilon) * (1 - zri(i) / prandtl(i))**(1/2)),f_ri_cd_min)
603	FH(i) = MAX((FM(i) / prandtl(i)), f_ri_cd_min)
604	CASE default ! Louis 1982
605	zscf = SQRT(1.+CD*ABS(zri(i)))
606	FM(i)= AMAX1(1. / (1.+2.CBzri(i)/zscf), f_ri_cd_min)
607	FH(i)= AMAX1(1./ (1.+3.CBzri(i)*zscf), f_ri_cd_min )
608	END SELECT
609	! Calcul des drags
610	cdm(i)=cdmn(i)*FM(i)
611	cdh(i)=f_cdrag_tercdhn(i)FH(i)
612	ENDIF
613	ENDIF ! fin du if (nsrf == is_oce)
614	END DO ! Fin de la boucle sur l'horizontal
615
616	END SUBROUTINE cdrag
617
618	END MODULE cdrag_mod

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