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cdrag_mod.f90 @ 5441

Last change on this file since 5441 was 5285, checked in by abarral, 8 weeks ago
As discussed internally, remove generic ONLY: ... for new _mod_h modules
Property svn:executable set to ``* Property svn:keywords set to `Id`
File size: 25.7 KB

Rev	Line
[3817]	1	!
[4725]	2	!$Id: cdrag_mod.f90 5285 2024-10-28 13:33:29Z fhourdin $
	3	!
	4	!
[3817]	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, &
[4722]	20	psol, pblh, tsurf, qsurf, z0m, z0h, &
[4478]	21	ri_in, iri_in, &
[4722]	22	cdm, cdh, zri, pref, prain, tsol , pat1)
[3817]	23
	24	USE dimphy
[5060]	25	USE coare_cp_mod, ONLY: coare_cp
	26	USE coare30_flux_cnrm_mod, ONLY: coare30_flux_cnrm
[3817]	27	USE indice_sol_mod
	28	USE print_control_mod, ONLY: lunout, prt_level
	29	USE ioipsl_getin_p_mod, ONLY : getin_p
[4777]	30	USE lmdz_atke_turbulence_ini, ONLY : smmin, ric, cinf, cepsilon, pr_slope, pr_asym, pr_neut
[5285]	31	USE yomcst_mod_h
[5282]	32	USE clesphys_mod_h
[5284]	33	USE yoethf_mod_h
[3817]	34	IMPLICIT NONE
	35	! ================================================================= c
	36	!
	37	! Objet : calcul des cdrags pour le moment (pcfm) et
	38	! les flux de chaleur sensible et latente (pcfh) d'apr??s
	39	! Louis 1982, Louis 1979, King et al 2001
	40	! ou Zilitinkevich et al 2002 pour les cas stables, Louis 1979
	41	! et 1982 pour les cas instables
	42	!
	43	! Modified history:
	44	! writting on the 20/05/2016
	45	! modified on the 13/12/2016 to be adapted to LMDZ6
	46	!
	47	! References:
	48	! Louis, J. F., 1979: A parametric model of vertical eddy fluxes in the
	49	! atmosphere. Boundary-Layer Meteorology. 01/1979; 17(2):187-202.
	50	! Louis, J. F., Tiedtke, M. and Geleyn, J. F., 1982: `A short history of the
	51	! operational PBL parametrization at ECMWF'. Workshop on boundary layer
	52	! parametrization, November 1981, ECMWF, Reading, England.
	53	! Page: 19. Equations in Table 1.
	54	! Mascart P, Noilhan J, Giordani H 1995.A MODIFIED PARAMETERIZATION OF FLUX-PROFILE RELATIONSHIPS
	55	! IN THE SURFACE LAYER USING DIFFERENT ROUGHNESS LENGTH VALUES FOR HEAT AND MOMENTUM
	56	! Boundary-Layer Meteorology 72: 331-344
	57	! Anton Beljaars. May 1992. The parametrization of the planetary boundary layer.
	58	! European Centre for Medium-Range Weather Forecasts.
	59	! Equations: 110-113. Page 40.
	60	! Miller,M.J., A.C.M.Beljaars, T.N.Palmer. 1992. The sensitivity of the ECMWF
	61	! model to the parameterization of evaporation from the tropical oceans. J.
	62	! Climate, 5:418-434.
	63	! King J.C, Connolley, W.M ad Derbyshire S.H. 2001, Sensitivity of Modelled Antarctic climate
	64	! to surface and boundary-layer flux parametrizations
	65	! QJRMS, 127, pp 779-794
	66	!
	67	! ================================================================= c
	68	! ================================================================= c
	69	! On choisit le couple de fonctions de correction avec deux flags:
	70	! Un pour les cas instables, un autre pour les cas stables
	71	!
	72	! iflag_corr_insta:
	73	! 1: Louis 1979 avec les modifications de Mascart 1995 (z0/= z0h)
	74	! 2: Louis 1982
	75	! 3: Laurent Li
	76	!
	77	! iflag_corr_sta:
	78	! 1: Louis 1979 avec les modifications de Mascart 1995 (z0/= z0h)
	79	! 2: Louis 1982
	80	! 3: Laurent Li
	81	! 4: King 2001 (SHARP)
	82	! 5: MO 1st order theory (allow collapse of turbulence)
	83	!
	84	!
	85	!*****************************************************************
	86	! Parametres d'entree
	87	!*****************************************************************
	88
	89	INTEGER, INTENT(IN) :: knon, nsrf ! nombre de points de grille sur l'horizontal + type de surface
[4722]	90	REAL, DIMENSION(klon), INTENT(IN) :: speed ! module du vent au 1er niveau du modele
	91	REAL, DIMENSION(klon), INTENT(IN) :: zgeop1 ! geopotentiel au 1er niveau du modele
	92	REAL, DIMENSION(klon), INTENT(IN) :: tsurf ! Surface temperature (K)
	93	REAL, DIMENSION(klon), INTENT(IN) :: qsurf ! Surface humidity (Kg/Kg)
	94	REAL, DIMENSION(klon), INTENT(INOUT) :: z0m, z0h ! Rugosity at surface (m)
[4478]	95	REAL, DIMENSION(klon), INTENT(IN) :: ri_in ! Input Richardson 1st layer for first guess calculations of screen var.
	96	INTEGER, INTENT(IN) :: iri_in! iflag to activate cdrag calculation using ri1
[4722]	97	REAL, DIMENSION(klon), INTENT(IN) :: t1 ! Temperature au premier niveau (K)
	98	REAL, DIMENSION(klon), INTENT(IN) :: q1 ! humidite specifique au premier niveau (kg/kg)
	99	REAL, DIMENSION(klon), INTENT(IN) :: psol ! pression au sol
[3817]	100
[4722]	101	!------------------ Rajout pour COARE (OT2018) --------------------
	102	REAL, DIMENSION(klon), INTENT(INOUT) :: pblh !hauteur de CL
	103	REAL, DIMENSION(klon), INTENT(IN) :: prain !rapport au precipitation
	104	REAL, DIMENSION(klon), INTENT(IN) :: tsol !SST imposé sur la surface oceanique
	105	REAL, DIMENSION(klon), INTENT(IN) :: pat1 !pression premier lev
[3817]	106
	107
[4722]	108
[3817]	109	! Parametres de sortie
	110	!******************************************************************
	111	REAL, DIMENSION(klon), INTENT(OUT) :: cdm ! Drag coefficient for momentum
	112	REAL, DIMENSION(klon), INTENT(OUT) :: cdh ! Drag coefficient for heat flux
	113	REAL, DIMENSION(klon), INTENT(OUT) :: zri ! Richardson number
[4722]	114	REAL, DIMENSION(klon), INTENT(INOUT) :: pref ! Pression au niveau zgeop/RG
[3817]	115
	116	! Variables Locales
	117	!******************************************************************
	118
	119	REAL, PARAMETER :: CKAP=0.40, CKAPT=0.42
	120	REAL CEPDU2
	121	REAL ALPHA
	122	REAL CB,CC,CD,C2,C3
	123	REAL MU, CM, CH, B, CMstar, CHstar
	124	REAL PM, PH, BPRIME
	125	INTEGER ng_q1 ! Number of grids that q1 < 0.0
	126	INTEGER ng_qsurf ! Number of grids that qsurf < 0.0
[4722]	127	INTEGER i, k
[3817]	128	REAL zdu2, ztsolv
	129	REAL ztvd, zscf
	130	REAL zucf, zcr
	131	REAL, DIMENSION(klon) :: FM, FH ! stability functions
	132	REAL, DIMENSION(klon) :: cdmn, cdhn ! Drag coefficient in neutral conditions
	133	REAL zzzcd
[4478]	134	REAL, DIMENSION(klon) :: sm, prandtl ! Stability function from atke turbulence scheme
[4481]	135	REAL ri0, ri1, cn ! to have dimensionless term in sm and prandtl
[3817]	136
[4722]	137	!------------------ Rajout (OT2018) --------------------
	138	!------------------ Rajout pour les appelles BULK (OT) --------------------
	139	REAL, DIMENSION(klon,2) :: rugos_itm
	140	REAL, DIMENSION(klon,2) :: rugos_ith
	141	REAL, PARAMETER :: tol_it_rugos=1.e-4
	142	REAL, DIMENSION(3) :: coeffs
	143	LOGICAL :: mixte
	144	REAL :: z_0m
	145	REAL :: z_0h
	146	REAL, DIMENSION(klon) :: cdmm
	147	REAL, DIMENSION(klon) :: cdhh
	148
	149	!------------------RAJOUT POUR ECUME -------------------
	150
	151	REAL, DIMENSION(klon) :: PQSAT
	152	REAL, DIMENSION(klon) :: PSFTH
	153	REAL, DIMENSION(klon) :: PFSTQ
	154	REAL, DIMENSION(klon) :: PUSTAR
	155	REAL, DIMENSION(klon) :: PCD ! Drag coefficient for momentum
	156	REAL, DIMENSION(klon) :: PCDN ! Drag coefficient for momentum
	157	REAL, DIMENSION(klon) :: PCH ! Drag coefficient for momentum
	158	REAL, DIMENSION(klon) :: PCE ! Drag coefficient for momentum
	159	REAL, DIMENSION(klon) :: PRI
	160	REAL, DIMENSION(klon) :: PRESA
	161	REAL, DIMENSION(klon) :: PSSS
	162
	163	LOGICAL :: OPRECIP
	164	LOGICAL :: OPWEBB
	165	LOGICAL :: OPERTFLUX
	166	LOGICAL :: LPRECIP
	167	LOGICAL :: LPWG
	168
	169
	170
[3817]	171	LOGICAL, SAVE :: firstcall = .TRUE.
	172	!$OMP THREADPRIVATE(firstcall)
	173	INTEGER, SAVE :: iflag_corr_sta
	174	!$OMP THREADPRIVATE(iflag_corr_sta)
	175	INTEGER, SAVE :: iflag_corr_insta
	176	!$OMP THREADPRIVATE(iflag_corr_insta)
[4722]	177	LOGICAL, SAVE :: ok_cdrag_iter
	178	!$OMP THREADPRIVATE(ok_cdrag_iter)
[3817]	179
	180	!===================================================================c
	181	! Valeurs numeriques des constantes
	182	!===================================================================c
	183
	184
	185	! Minimum du carre du vent
	186
	187	CEPDU2 = (0.1)**2
	188
	189	! Louis 1982
	190
	191	CB=5.0
	192	CC=5.0
	193	CD=5.0
	194
	195
	196	! King 2001
	197
	198	C2=0.25
	199	C3=0.0625
	200
	201
	202	! Louis 1979
	203
	204	BPRIME=4.7
	205	B=9.4
	206
	207
	208	!MO
	209
	210	ALPHA=5.0
	211
[4481]	212	! Consistent with atke scheme
[4722]	213	cn=(1./sqrt(cepsilon))**(2./3.)
	214	ri0=2./rpi(cinf - cn)ric/cn
	215	ri1=-2./rpi * (pr_asym - pr_neut)/pr_slope
[4478]	216
[4481]	217
[3817]	218	! ================================================================= c
	219	! Tests avant de commencer
	220	! Fuxing WANG, 04/03/2015
	221	! To check if there are negative q1, qsurf values.
	222	!====================================================================c
	223	ng_q1 = 0 ! Initialization
	224	ng_qsurf = 0 ! Initialization
	225	DO i = 1, knon
	226	IF (q1(i).LT.0.0) ng_q1 = ng_q1 + 1
	227	IF (qsurf(i).LT.0.0) ng_qsurf = ng_qsurf + 1
	228	ENDDO
	229	IF (ng_q1.GT.0 .and. prt_level > 5) THEN
	230	WRITE(lunout,)" ** Warning: Negative q1(humidity at 1st level) values in cdrag.F90 !"
	231	WRITE(lunout,*)" The total number of the grids is: ", ng_q1
	232	WRITE(lunout,*)" The negative q1 is set to zero "
	233	! abort_message="voir ci-dessus"
	234	! CALL abort_physic(modname,abort_message,1)
	235	ENDIF
	236	IF (ng_qsurf.GT.0 .and. prt_level > 5) THEN
	237	WRITE(lunout,)" ** Warning: Negative qsurf(humidity at surface) values in cdrag.F90 !"
	238	WRITE(lunout,*)" The total number of the grids is: ", ng_qsurf
	239	WRITE(lunout,*)" The negative qsurf is set to zero "
	240	! abort_message="voir ci-dessus"
	241	! CALL abort_physic(modname,abort_message,1)
	242	ENDIF
	243
	244
	245
	246	!=============================================================================c
	247	! Calcul du cdrag
	248	!=============================================================================c
	249
	250	! On choisit les fonctions de stabilite utilisees au premier appel
	251	!**************************************************************************
[4722]	252	IF (firstcall) THEN
[3817]	253	iflag_corr_sta=2
	254	iflag_corr_insta=2
[4722]	255	ok_cdrag_iter = .FALSE.
[3817]	256
	257	CALL getin_p('iflag_corr_sta',iflag_corr_sta)
	258	CALL getin_p('iflag_corr_insta',iflag_corr_insta)
[4722]	259	CALL getin_p('ok_cdrag_iter',ok_cdrag_iter)
[3817]	260
	261	firstcall = .FALSE.
	262	ENDIF
	263
[4722]	264	!------------------ Rajout (OT2018) --------------------
	265	!--------- Rajout pour itération sur rugosité ----------------
	266	rugos_itm(:,2) = z0m
	267	rugos_itm(:,1) = 3.tol_it_rugosz0m
	268
	269	rugos_ith(:,2) = z0h !cp nouveau rugos_it
	270	rugos_ith(:,1) = 3.tol_it_rugosz0h
	271	!--------------------------------------------------------------------
	272
[3817]	273	!xxxxxxxxxxxxxxxxxxxxxxx
	274	DO i = 1, knon ! Boucle sur l'horizontal
	275	!xxxxxxxxxxxxxxxxxxxxxxx
	276
	277
	278	! calculs preliminaires:
	279	!***********************
	280
	281	zdu2 = MAX(CEPDU2, speed(i)**2)
	282	pref(i) = EXP(LOG(psol(i)) - zgeop1(i)/(RDt1(i) &
[4722]	283	(1.+ RETV * max(q1(i),0.0)))) ! negative q1 set to zero
[3817]	284	ztsolv = tsurf(i) * (1.0+RETV*max(qsurf(i),0.0)) ! negative qsurf set to zero
[4722]	285	ztvd = (t1(i)+zgeop1(i)/RCPD/(1.+RVTMP2*q1(i))) &
[3817]	286	(1.+RETVmax(q1(i),0.0)) ! negative q1 set to zero
[4722]	287
	288	!------------------ Rajout (OT2018) --------------------
	289	!-------------- ON DUPLIQUE POUR METTRE ITERATION SUR OCEAN ------------------------
[4478]	290	IF (iri_in.EQ.1) THEN
	291	zri(i) = ri_in(i)
	292	ENDIF
[3817]	293
[4722]	294	IF (nsrf == is_oce) THEN
	295
	296	!------------------ Pour Core 2 choix Core Pur ou Core Mixte --------------------
	297	IF ((choix_bulk > 1 .AND. choix_bulk < 4) .AND. (nsrf .eq. is_oce)) THEN
	298	IF(choix_bulk .eq. 2) THEN
	299	mixte = .false.
	300	ELSE
	301	mixte = .true.
	302	ENDIF
	303	call clc_core_cp ( sqrt(zdu2),t1(i)-tsurf(i),q1(i)-qsurf(i),t1(i),q1(i),&
	304	zgeop1(i)/RG, zgeop1(i)/RG, zgeop1(i)/RG,&
	305	psol(i),nit_bulk,mixte,&
	306	coeffs,z_0m,z_0h)
	307	cdmm(i) = coeffs(1)
	308	cdhh(i) = coeffs(2)
	309	cdm(i)=cdmm(i)
	310	cdh(i)=cdhh(i)
	311	write(,) "clc_core cd ch",cdmm(i),cdhh(i)
[3817]	312
[4722]	313	!------------------ Pour ECUME --------------------
	314	ELSE IF ((choix_bulk .eq. 4) .and. (nsrf .eq. is_oce)) THEN
	315	OPRECIP = .false.
	316	OPWEBB = .false.
	317	OPERTFLUX = .false.
	318	IF (nsrf .eq. is_oce) THEN
	319	PSSS = 0.0
	320	ENDIF
	321	call ini_csts
	322	call ecumev6_flux( z_0m,t1(i),tsurf(i),&
	323	q1(i),qsurf(i),sqrt(zdu2),zgeop1(i)/RG,PSSS,zgeop1(i)/RG,&
	324	psol(i),pat1(i), OPRECIP, OPWEBB,&
	325	PSFTH,PFSTQ,PUSTAR,PCD,PCDN,&
	326	PCH,PCE,PRI,PRESA,prain,&
	327	z_0h,OPERTFLUX,coeffs)
[3817]	328
[4722]	329	cdmm(i) = coeffs(1)
	330	cdhh(i) = coeffs(2)
	331	cdm(i)=cdmm(i)
	332	cdh(i)=cdhh(i)
	333
	334	write(,) "ecume cd ch",cdmm(i),cdhh(i)
[3817]	335
[4722]	336	!------------------ Pour COARE CNRM --------------------
	337	ELSE IF ((choix_bulk .eq. 5) .and. (nsrf .eq. is_oce)) THEN
	338	LPRECIP = .false.
	339	LPWG = .false.
	340	call ini_csts
[5060]	341	block
	342	real, dimension(1) :: z0m_1d, z_0h_1d, sqrt_zdu2_1d, zgeop1_rg_1d ! convert scalar to 1D for call
	343	z0m_1d = z0m
	344	z_0h_1d = z0h
	345	sqrt_zdu2_1d = sqrt(zdu2)
	346	zgeop1_rg_1d=zgeop1(i)/RG
	347	call coare30_flux_cnrm(z0m_1d,t1(i),tsurf(i), q1(i), &
	348	sqrt_zdu2_1d,zgeop1_rg_1d,zgeop1_rg_1d,psol(i),qsurf(i),PQSAT, &
	349	PSFTH,PFSTQ,PUSTAR,PCD,PCDN,PCH,PCE,PRI, &
	350	PRESA,prain,pat1(i),z_0h_1d, LPRECIP, LPWG, coeffs)
	351
	352	end block
[4722]	353	cdmm(i) = coeffs(1)
	354	cdhh(i) = coeffs(2)
	355	cdm(i)=cdmm(i)
	356	cdh(i)=cdhh(i)
	357	write(,) "coare CNRM cd ch",cdmm(i),cdhh(i)
[3817]	358
[4722]	359	!------------------ Pour COARE Maison --------------------
	360	ELSE IF ((choix_bulk .eq. 1) .and. (nsrf .eq. is_oce)) THEN
	361	IF ( pblh(i) .eq. 0. ) THEN
	362	pblh(i) = 1500.
	363	ENDIF
	364	write(,) "debug size",size(coeffs)
	365	call coare_cp(sqrt(zdu2),t1(i)-tsurf(i),q1(i)-qsurf(i),&
	366	t1(i),q1(i),&
	367	zgeop1(i)/RG,zgeop1(i)/RG,zgeop1(i)/RG,&
	368	psol(i), pblh(i),&
	369	nit_bulk,&
	370	coeffs,z_0m,z_0h)
	371	cdmm(i) = coeffs(1)
	372	cdhh(i) = coeffs(3)
	373	cdm(i)=cdmm(i)
	374	cdh(i)=cdhh(i)
	375	write(,) "coare cd ch",cdmm(i),cdhh(i)
	376	ELSE
	377	!------------------ Pour La param LMDZ (ocean) --------------------
	378	zri(i) = zgeop1(i)(ztvd-ztsolv)/(zdu2ztvd)
	379	IF (iri_in.EQ.1) THEN
	380	zri(i) = ri_in(i)
	381	ENDIF
	382	ENDIF
	383
[3817]	384
[4722]	385	!----------------------- Rajout des itérations --------------
	386	DO k=1,nit_bulk
[4481]	387
[4722]	388	! Coefficients CD neutres : k^2/ln(z/z0) et k^2/(ln(z/z0)*ln(z/z0h)):
	389	!********************************************************************
	390	zzzcd=CKAP/LOG(1.+zgeop1(i)/(RG*rugos_itm(i,2)))
	391	cdmn(i) = zzzcd*zzzcd
	392	cdhn(i) = zzzcd(CKAP/LOG(1.+zgeop1(i)/(RGrugos_ith(i,2))))
[4481]	393
[4722]	394	! Calcul des fonctions de stabilite FMs, FHs, FMi, FHi :
	395	!*******************************************************
	396	IF (zri(i) .LT. 0.) THEN
	397	SELECT CASE (iflag_corr_insta)
	398	CASE (1) ! Louis 1979 + Mascart 1995
	399	MU=LOG(MAX(z0m(i)/z0h(i),0.01))
	400	CMstar=6.8741+2.6933MU-0.3601(MU*2)+0.0154(MU**3)
	401	PM=0.5233-0.0815MU+0.0135(MU*2)-0.001(MU**3)
	402	CHstar=3.2165+4.3431MU+0.536(MU*2)-0.0781(MU**3)
	403	PH=0.5802-0.1571MU+0.0327(MU*2)-0.0026(MU**3)
	404	CH=CHstarBCKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) &
	405	& * CKAPT/LOG(z0h(i)+zgeop1(i)/(RG*z0h(i))) &
	406	& * ((zgeop1(i)/(RGz0h(i)))*PH)
	407	CM=CMstarBCKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) &
	408	& CKAP/LOG(z0m(i)+zgeop1(i)/(RGz0m(i))) &
	409	& * ((zgeop1(i)/(RGz0m(i)))*PM)
	410	FM(i)=1.-Bzri(i)/(1.+CMSQRT(ABS(zri(i))))
	411	FH(i)=1.-Bzri(i)/(1.+CHSQRT(ABS(zri(i))))
	412	CASE (2) ! Louis 1982
	413	zucf = 1./(1.+3.0CBCCcdmn(i)SQRT(ABS(zri(i)) &
	414	(1.0+zgeop1(i)/(RGz0m(i)))))
	415	FM(i) = AMAX1((1.-2.0CBzri(i)*zucf),f_ri_cd_min)
	416	FH(i) = AMAX1((1.-3.0CBzri(i)*zucf),f_ri_cd_min)
	417	CASE (3) ! Laurent Li
	418	FM(i) = MAX(SQRT(1.0-18.0*zri(i)),f_ri_cd_min)
	419	FH(i) = MAX(SQRT(1.0-18.0*zri(i)),f_ri_cd_min)
	420	CASE (6) ! Consistent with turbulence scheme (in stationary case) derived in atke (2023)
	421	sm(i) = 2./rpi * (cinf - cn) * atan(-zri(i)/ri0) + cn
	422	prandtl(i) = -2./rpi * (pr_asym - pr_neut) * atan(zri(i)/ri1) + pr_neut
	423	FM(i) = MAX((sm(i)*(3./2.) sqrt(cepsilon) * (1 - zri(i) / prandtl(i))**(1./2.)),f_ri_cd_min)
	424	FH(i) = MAX((FM(i) / prandtl(i)), f_ri_cd_min)
	425	CASE default ! Louis 1982
	426	zucf = 1./(1.+3.0CBCCcdmn(i)SQRT(ABS(zri(i)) &
	427	(1.0+zgeop1(i)/(RGz0m(i)))))
	428	FM(i) = AMAX1((1.-2.0CBzri(i)*zucf),f_ri_cd_min)
	429	FH(i) = AMAX1((1.-3.0CBzri(i)*zucf),f_ri_cd_min)
	430	END SELECT
[3817]	431	! Calcul des drags
[4722]	432	cdmm(i)=cdmn(i)*FM(i)
	433	cdhh(i)=f_cdrag_tercdhn(i)FH(i)
[3817]	434	! Traitement particulier des cas oceaniques
	435	! on applique Miller et al 1992 en l'absence de gustiness
[4722]	436	IF (nsrf == is_oce) THEN
	437	! cdh(i)=f_cdrag_ocecdhn(i)FH(i)
	438	IF (iflag_gusts==0) THEN
	439	zcr = (0.0016/(cdmn(i)SQRT(zdu2)))ABS(ztvd-ztsolv)**(1./3.)
	440	cdhh(i) =f_cdrag_oce* cdhn(i)(1.0+zcr1.25)*(1./1.25)
	441	ENDIF
	442	cdmm(i)=MIN(cdmm(i),cdmmax)
	443	cdhh(i)=MIN(cdhh(i),cdhmax)
	444	! write(,) "LMDZ cd ch",cdmm(i),cdhh(i)
	445	END IF
	446	ELSE
[3817]	447
	448	!'''''''''''''''
	449	! Cas stables :
	450	!'''''''''''''''
[4722]	451	zri(i) = MIN(20.,zri(i))
	452	SELECT CASE (iflag_corr_sta)
	453	CASE (1) ! Louis 1979 + Mascart 1995
	454	FM(i)=MAX(1./((1+BPRIMEzri(i))*2),f_ri_cd_min)
	455	FH(i)=FM(i)
	456	CASE (2) ! Louis 1982
	457	zscf = SQRT(1.+CD*ABS(zri(i)))
	458	FM(i)= AMAX1(1. / (1.+2.CBzri(i)/zscf), f_ri_cd_min)
	459	FH(i)= AMAX1(1./ (1.+3.CBzri(i)*zscf), f_ri_cd_min )
	460	CASE (3) ! Laurent Li
	461	FM(i)=MAX(1.0 / (1.0+10.0zri(i)(1+8.0*zri(i))),f_ri_cd_min)
	462	FH(i)=FM(i)
	463	CASE (4) ! King 2001
	464	IF (zri(i) .LT. C2/2.) THEN
	465	FM(i)=MAX((1.-zri(i)/C2)**2,f_ri_cd_min)
	466	FH(i)= FM(i)
	467	ELSE
	468	FM(i)=MAX(C3((C2/zri(i))*2),f_ri_cd_min)
	469	FH(i)= FM(i)
	470	ENDIF
	471	CASE (5) ! MO
	472	if (zri(i) .LT. 1./alpha) then
	473	FM(i)=MAX((1.-alphazri(i))*2,f_ri_cd_min)
	474	FH(i)=FM(i)
	475	else
	476	FM(i)=MAX(1E-7,f_ri_cd_min)
	477	FH(i)=FM(i)
	478	endif
	479	CASE (6) ! Consistent with turbulence scheme (in stationary case) derived in atke (2023)
[4777]	480	sm(i) = MAX(smmin,cn*(1.-zri(i)/ric))
	481	! prandlt expression from venayagamoorthy and stretch 2010, Li et al 2019
	482	prandtl(i) = pr_neutexp(-pr_slope/pr_neutzri(i)+zri(i)/pr_neut) &
	483	+ zri(i) * pr_slope
[4722]	484	FM(i) = MAX((sm(i)*(3./2.) sqrt(cepsilon) * (1 - zri(i) / prandtl(i))**(1./2.)),f_ri_cd_min)
	485	FH(i) = MAX((FM(i) / prandtl(i)), f_ri_cd_min)
	486	CASE default ! Louis 1982
	487	zscf = SQRT(1.+CD*ABS(zri(i)))
	488	FM(i)= AMAX1(1. / (1.+2.CBzri(i)/zscf), f_ri_cd_min)
	489	FH(i)= AMAX1(1./ (1.+3.CBzri(i)*zscf), f_ri_cd_min )
	490	END SELECT
[3817]	491
[4722]	492	! Calcul des drags
[3817]	493
[4722]	494	cdmm(i)=cdmn(i)*FM(i)
	495	cdhh(i)=f_cdrag_tercdhn(i)FH(i)
[4725]	496
[4722]	497	IF (choix_bulk == 0) THEN
	498	cdm(i)=cdmn(i)*FM(i)
	499	cdh(i)=f_cdrag_tercdhn(i)FH(i)
	500	ENDIF
[3817]	501
[4722]	502	IF (nsrf.EQ.is_oce) THEN
	503	cdhh(i)=f_cdrag_ocecdhn(i)FH(i)
[4725]	504	cdmm(i)=MIN(cdmm(i),cdmmax)
	505	cdhh(i)=MIN(cdhh(i),cdhmax)
[4722]	506	ENDIF
	507	IF (ok_cdrag_iter) THEN
	508	rugos_itm(i,1) = rugos_itm(i,2)
	509	rugos_ith(i,1) = rugos_ith(i,2)
	510	rugos_itm(i,2) = 0.018cdmm(i) (speed(i))/RG &
	511	+ 0.1114e-6 / SQRT(cdmm(i) zdu2)
[3817]	512
[4722]	513	!---------- Version SEPARATION DES Z0 ----------------------
	514	IF (iflag_z0_oce==0) THEN
	515	rugos_ith(i,2) = rugos_itm(i,2)
	516	ELSE IF (iflag_z0_oce==1) THEN
	517	rugos_ith(i,2) = 0.4014e-6 / SQRT(cdmm(i) zdu2)
	518	ENDIF
	519	ENDIF
	520	ENDIF
	521	IF (ok_cdrag_iter) THEN
	522	rugos_itm(i,2) = MAX(1.5e-05,rugos_itm(i,2))
	523	rugos_ith(i,2) = MAX(1.5e-05,rugos_ith(i,2))
	524	ENDIF
	525	ENDDO
	526	IF (nsrf.EQ.is_oce) THEN
	527	cdm(i)=MIN(cdmm(i),cdmmax)
	528	cdh(i)=MIN(cdhh(i),cdhmax)
	529	ENDIF
	530	z0m = rugos_itm(:,2)
	531	z0h = rugos_ith(:,2)
	532	ELSE ! (nsrf == is_oce)
	533	zri(i) = zgeop1(i)(ztvd-ztsolv)/(zdu2ztvd)
	534	IF (iri_in.EQ.1) THEN
	535	zri(i) = ri_in(i)
	536	ENDIF
[3817]	537
[4722]	538	! Coefficients CD neutres : k^2/ln(z/z0) et k^2/(ln(z/z0)*ln(z/z0h)):
	539	!********************************************************************
	540	zzzcd=CKAP/LOG(1.+zgeop1(i)/(RG*z0m(i)))
	541	cdmn(i) = zzzcd*zzzcd
	542	cdhn(i) = zzzcd(CKAP/LOG(1.+zgeop1(i)/(RGz0h(i))))
[3817]	543
	544
[4722]	545	! Calcul des fonctions de stabilit?? FMs, FHs, FMi, FHi :
	546	!*******************************************************
	547	!''''''''''''''
	548	! Cas instables
	549	!''''''''''''''
	550	IF (zri(i) .LT. 0.) THEN
	551	SELECT CASE (iflag_corr_insta)
	552	CASE (1) ! Louis 1979 + Mascart 1995
	553	MU=LOG(MAX(z0m(i)/z0h(i),0.01))
	554	CMstar=6.8741+2.6933MU-0.3601(MU*2)+0.0154(MU**3)
	555	PM=0.5233-0.0815MU+0.0135(MU*2)-0.001(MU**3)
	556	CHstar=3.2165+4.3431MU+0.536(MU*2)-0.0781(MU**3)
	557	PH=0.5802-0.1571MU+0.0327(MU*2)-0.0026(MU**3)
	558	CH=CHstarBCKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) &
	559	& * CKAPT/LOG(z0h(i)+zgeop1(i)/(RG*z0h(i))) &
	560	& * ((zgeop1(i)/(RGz0h(i)))*PH)
	561	CM=CMstarBCKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) &
	562	& CKAP/LOG(z0m(i)+zgeop1(i)/(RGz0m(i))) &
	563	& * ((zgeop1(i)/(RGz0m(i)))*PM)
	564	FM(i)=1.-Bzri(i)/(1.+CMSQRT(ABS(zri(i))))
	565	FH(i)=1.-Bzri(i)/(1.+CHSQRT(ABS(zri(i))))
	566	CASE (2) ! Louis 1982
	567	zucf = 1./(1.+3.0CBCCcdmn(i)SQRT(ABS(zri(i)) &
	568	(1.0+zgeop1(i)/(RGz0m(i)))))
	569	FM(i) = AMAX1((1.-2.0CBzri(i)*zucf),f_ri_cd_min)
	570	FH(i) = AMAX1((1.-3.0CBzri(i)*zucf),f_ri_cd_min)
	571	CASE (3) ! Laurent Li
	572	FM(i) = MAX(SQRT(1.0-18.0*zri(i)),f_ri_cd_min)
	573	FH(i) = MAX(SQRT(1.0-18.0*zri(i)),f_ri_cd_min)
	574	CASE (6) ! Consistent with turbulence scheme (in stationary case) derived in atke (2023)
	575	sm(i) = 2./rpi * (cinf - cn) * atan(-zri(i)/ri0) + cn
	576	prandtl(i) = -2./rpi * (pr_asym - pr_neut) * atan(zri(i)/ri1) + pr_neut
	577	FM(i) = MAX((sm(i)*(3./2.) sqrt(cepsilon) * (1 - zri(i) / prandtl(i))**(1./2.)),f_ri_cd_min)
	578	FH(i) = MAX((FM(i) / prandtl(i)), f_ri_cd_min)
	579	CASE default ! Louis 1982
	580	zucf = 1./(1.+3.0CBCCcdmn(i)SQRT(ABS(zri(i)) &
	581	(1.0+zgeop1(i)/(RGz0m(i)))))
	582	FM(i) = AMAX1((1.-2.0CBzri(i)*zucf),f_ri_cd_min)
	583	FH(i) = AMAX1((1.-3.0CBzri(i)*zucf),f_ri_cd_min)
	584	END SELECT
[3817]	585	! Calcul des drags
[4722]	586	cdm(i)=cdmn(i)*FM(i)
	587	cdh(i)=f_cdrag_tercdhn(i)FH(i)
	588	ELSE
	589	!'''''''''''''''
	590	! Cas stables :
	591	!'''''''''''''''
	592	zri(i) = MIN(20.,zri(i))
	593	SELECT CASE (iflag_corr_sta)
	594	CASE (1) ! Louis 1979 + Mascart 1995
	595	FM(i)=MAX(1./((1+BPRIMEzri(i))*2),f_ri_cd_min)
	596	FH(i)=FM(i)
	597	CASE (2) ! Louis 1982
	598	zscf = SQRT(1.+CD*ABS(zri(i)))
	599	FM(i)= AMAX1(1. / (1.+2.CBzri(i)/zscf), f_ri_cd_min)
	600	FH(i)= AMAX1(1./ (1.+3.CBzri(i)*zscf), f_ri_cd_min )
	601	CASE (3) ! Laurent Li
	602	FM(i)=MAX(1.0 / (1.0+10.0zri(i)(1+8.0*zri(i))),f_ri_cd_min)
	603	FH(i)=FM(i)
	604	CASE (4) ! King 2001
	605	if (zri(i) .LT. C2/2.) then
	606	FM(i)=MAX((1.-zri(i)/C2)**2,f_ri_cd_min)
	607	FH(i)= FM(i)
	608	else
	609	FM(i)=MAX(C3((C2/zri(i))*2),f_ri_cd_min)
	610	FH(i)= FM(i)
	611	endif
	612	CASE (5) ! MO
	613	if (zri(i) .LT. 1./alpha) then
	614	FM(i)=MAX((1.-alphazri(i))*2,f_ri_cd_min)
	615	FH(i)=FM(i)
	616	else
	617	FM(i)=MAX(1E-7,f_ri_cd_min)
	618	FH(i)=FM(i)
	619	endif
	620	CASE (6) ! Consistent with turbulence scheme (in stationary case) derived in atke (2023)
	621	sm(i) = MAX(0.,cn*(1.-zri(i)/ric))
	622	prandtl(i) = pr_neut + zri(i) * pr_slope
	623	FM(i) = MAX((sm(i)*(3./2.) sqrt(cepsilon) * (1 - zri(i) / prandtl(i))**(1./2.)),f_ri_cd_min)
	624	FH(i) = MAX((FM(i) / prandtl(i)), f_ri_cd_min)
	625	CASE default ! Louis 1982
	626	zscf = SQRT(1.+CD*ABS(zri(i)))
	627	FM(i)= AMAX1(1. / (1.+2.CBzri(i)/zscf), f_ri_cd_min)
	628	FH(i)= AMAX1(1./ (1.+3.CBzri(i)*zscf), f_ri_cd_min )
	629	END SELECT
	630	! Calcul des drags
	631	cdm(i)=cdmn(i)*FM(i)
	632	cdh(i)=f_cdrag_tercdhn(i)FH(i)
	633	ENDIF
	634	ENDIF ! fin du if (nsrf == is_oce)
[3817]	635	END DO ! Fin de la boucle sur l'horizontal
[4725]	636
[3817]	637	END SUBROUTINE cdrag
	638
	639	END MODULE cdrag_mod

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