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cdrag_mod.F90 @ 5434

Last change on this file since 5434 was 5202, checked in by Laurent Fairhead, 3 months ago
Updating cirrus branch to trunk revision 5171
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 5202 2024-09-20 10:32:04Z 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
[5202]	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
[3817]	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
[4722]	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)
[4478]	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
[4722]	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
[3817]	98
[4722]	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
[3817]	104
	105
[4722]	106
[3817]	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
[4722]	112	REAL, DIMENSION(klon), INTENT(INOUT) :: pref ! Pression au niveau zgeop/RG
[3817]	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
[4722]	131	INTEGER i, k
[3817]	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
[4478]	138	REAL, DIMENSION(klon) :: sm, prandtl ! Stability function from atke turbulence scheme
[4481]	139	REAL ri0, ri1, cn ! to have dimensionless term in sm and prandtl
[3817]	140
[4722]	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
[3817]	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	!$OMP THREADPRIVATE(iflag_corr_insta)
[4722]	181	LOGICAL, SAVE :: ok_cdrag_iter
	182	!$OMP THREADPRIVATE(ok_cdrag_iter)
[3817]	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
[4481]	216	! Consistent with atke scheme
[4722]	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
[4478]	220
[4481]	221
[3817]	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	!**************************************************************************
[4722]	256	IF (firstcall) THEN
[3817]	257	iflag_corr_sta=2
	258	iflag_corr_insta=2
[4722]	259	ok_cdrag_iter = .FALSE.
[3817]	260
	261	CALL getin_p('iflag_corr_sta',iflag_corr_sta)
	262	CALL getin_p('iflag_corr_insta',iflag_corr_insta)
[4722]	263	CALL getin_p('ok_cdrag_iter',ok_cdrag_iter)
[3817]	264
	265	firstcall = .FALSE.
	266	ENDIF
	267
[4722]	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
[3817]	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) &
[4722]	287	(1.+ RETV * max(q1(i),0.0)))) ! negative q1 set to zero
[3817]	288	ztsolv = tsurf(i) * (1.0+RETV*max(qsurf(i),0.0)) ! negative qsurf set to zero
[4722]	289	ztvd = (t1(i)+zgeop1(i)/RCPD/(1.+RVTMP2*q1(i))) &
[3817]	290	(1.+RETVmax(q1(i),0.0)) ! negative q1 set to zero
[4722]	291
	292	!------------------ Rajout (OT2018) --------------------
	293	!-------------- ON DUPLIQUE POUR METTRE ITERATION SUR OCEAN ------------------------
[4478]	294	IF (iri_in.EQ.1) THEN
	295	zri(i) = ri_in(i)
	296	ENDIF
[3817]	297
[4722]	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)
[3817]	316
[4722]	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)
[3817]	332
[4722]	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)
[3817]	339
[4722]	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
[5202]	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
[4722]	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)
[3817]	362
[4722]	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
[3817]	388
[4722]	389	!----------------------- Rajout des itérations --------------
	390	DO k=1,nit_bulk
[4481]	391
[4722]	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))))
[4481]	397
[4722]	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
[3817]	435	! Calcul des drags
[4722]	436	cdmm(i)=cdmn(i)*FM(i)
	437	cdhh(i)=f_cdrag_tercdhn(i)FH(i)
[3817]	438	! Traitement particulier des cas oceaniques
	439	! on applique Miller et al 1992 en l'absence de gustiness
[4722]	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
[3817]	451
	452	!'''''''''''''''
	453	! Cas stables :
	454	!'''''''''''''''
[4722]	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)
[4777]	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
[4722]	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
[3817]	495
[4722]	496	! Calcul des drags
[3817]	497
[4722]	498	cdmm(i)=cdmn(i)*FM(i)
	499	cdhh(i)=f_cdrag_tercdhn(i)FH(i)
[4725]	500
[4722]	501	IF (choix_bulk == 0) THEN
	502	cdm(i)=cdmn(i)*FM(i)
	503	cdh(i)=f_cdrag_tercdhn(i)FH(i)
	504	ENDIF
[3817]	505
[4722]	506	IF (nsrf.EQ.is_oce) THEN
	507	cdhh(i)=f_cdrag_ocecdhn(i)FH(i)
[4725]	508	cdmm(i)=MIN(cdmm(i),cdmmax)
	509	cdhh(i)=MIN(cdhh(i),cdhmax)
[4722]	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)
[3817]	516
[4722]	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
[3817]	541
[4722]	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))))
[3817]	547
	548
[4722]	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
[3817]	589	! Calcul des drags
[4722]	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)
[3817]	639	END DO ! Fin de la boucle sur l'horizontal
[4725]	640
[3817]	641	END SUBROUTINE cdrag
	642
	643	END MODULE cdrag_mod

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