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cdrag_mod.f90 @ 5276

Last change on this file since 5276 was 5274, checked in by abarral, 9 months ago
Replace yomcst.h by existing module
Property svn:executable set to ``* Property svn:keywords set to `Id`
File size: 26.5 KB

Rev	Line
[3817]	1	!
[4725]	2	!$Id: cdrag_mod.f90 5274 2024-10-25 13:41:23Z abarral $
	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
[5274]	31	USE yomcst_mod_h, ONLY: RPI, RCLUM, RHPLA, RKBOL, RNAVO &
	32	, RDAY, REA, REPSM, RSIYEA, RSIDAY, ROMEGA &
	33	, R_ecc, R_peri, R_incl &
	34	, RA, RG, R1SA &
	35	, RSIGMA &
	36	, R, RMD, RMV, RD, RV, RCPD &
	37	, RMO3, RMCO2, RMC, RMCH4, RMN2O, RMCFC11, RMCFC12 &
	38	, RCPV, RCVD, RCVV, RKAPPA, RETV, eps_w &
	39	, RCW, RCS &
	40	, RLVTT, RLSTT, RLMLT, RTT, RATM &
	41	, RESTT, RALPW, RBETW, RGAMW, RALPS, RBETS, RGAMS &
	42	, RALPD, RBETD, RGAMD
[3817]	43
	44	IMPLICIT NONE
	45	! ================================================================= c
	46	!
	47	! Objet : calcul des cdrags pour le moment (pcfm) et
	48	! les flux de chaleur sensible et latente (pcfh) d'apr??s
	49	! Louis 1982, Louis 1979, King et al 2001
	50	! ou Zilitinkevich et al 2002 pour les cas stables, Louis 1979
	51	! et 1982 pour les cas instables
	52	!
	53	! Modified history:
	54	! writting on the 20/05/2016
	55	! modified on the 13/12/2016 to be adapted to LMDZ6
	56	!
	57	! References:
	58	! Louis, J. F., 1979: A parametric model of vertical eddy fluxes in the
	59	! atmosphere. Boundary-Layer Meteorology. 01/1979; 17(2):187-202.
	60	! Louis, J. F., Tiedtke, M. and Geleyn, J. F., 1982: `A short history of the
	61	! operational PBL parametrization at ECMWF'. Workshop on boundary layer
	62	! parametrization, November 1981, ECMWF, Reading, England.
	63	! Page: 19. Equations in Table 1.
	64	! Mascart P, Noilhan J, Giordani H 1995.A MODIFIED PARAMETERIZATION OF FLUX-PROFILE RELATIONSHIPS
	65	! IN THE SURFACE LAYER USING DIFFERENT ROUGHNESS LENGTH VALUES FOR HEAT AND MOMENTUM
	66	! Boundary-Layer Meteorology 72: 331-344
	67	! Anton Beljaars. May 1992. The parametrization of the planetary boundary layer.
	68	! European Centre for Medium-Range Weather Forecasts.
	69	! Equations: 110-113. Page 40.
	70	! Miller,M.J., A.C.M.Beljaars, T.N.Palmer. 1992. The sensitivity of the ECMWF
	71	! model to the parameterization of evaporation from the tropical oceans. J.
	72	! Climate, 5:418-434.
	73	! King J.C, Connolley, W.M ad Derbyshire S.H. 2001, Sensitivity of Modelled Antarctic climate
	74	! to surface and boundary-layer flux parametrizations
	75	! QJRMS, 127, pp 779-794
	76	!
	77	! ================================================================= c
	78	! ================================================================= c
	79	! On choisit le couple de fonctions de correction avec deux flags:
	80	! Un pour les cas instables, un autre pour les cas stables
	81	!
	82	! iflag_corr_insta:
	83	! 1: Louis 1979 avec les modifications de Mascart 1995 (z0/= z0h)
	84	! 2: Louis 1982
	85	! 3: Laurent Li
	86	!
	87	! iflag_corr_sta:
	88	! 1: Louis 1979 avec les modifications de Mascart 1995 (z0/= z0h)
	89	! 2: Louis 1982
	90	! 3: Laurent Li
	91	! 4: King 2001 (SHARP)
	92	! 5: MO 1st order theory (allow collapse of turbulence)
	93	!
	94	!
	95	!*****************************************************************
	96	! Parametres d'entree
	97	!*****************************************************************
	98
	99	INTEGER, INTENT(IN) :: knon, nsrf ! nombre de points de grille sur l'horizontal + type de surface
[4722]	100	REAL, DIMENSION(klon), INTENT(IN) :: speed ! module du vent au 1er niveau du modele
	101	REAL, DIMENSION(klon), INTENT(IN) :: zgeop1 ! geopotentiel au 1er niveau du modele
	102	REAL, DIMENSION(klon), INTENT(IN) :: tsurf ! Surface temperature (K)
	103	REAL, DIMENSION(klon), INTENT(IN) :: qsurf ! Surface humidity (Kg/Kg)
	104	REAL, DIMENSION(klon), INTENT(INOUT) :: z0m, z0h ! Rugosity at surface (m)
[4478]	105	REAL, DIMENSION(klon), INTENT(IN) :: ri_in ! Input Richardson 1st layer for first guess calculations of screen var.
	106	INTEGER, INTENT(IN) :: iri_in! iflag to activate cdrag calculation using ri1
[4722]	107	REAL, DIMENSION(klon), INTENT(IN) :: t1 ! Temperature au premier niveau (K)
	108	REAL, DIMENSION(klon), INTENT(IN) :: q1 ! humidite specifique au premier niveau (kg/kg)
	109	REAL, DIMENSION(klon), INTENT(IN) :: psol ! pression au sol
[3817]	110
[4722]	111	!------------------ Rajout pour COARE (OT2018) --------------------
	112	REAL, DIMENSION(klon), INTENT(INOUT) :: pblh !hauteur de CL
	113	REAL, DIMENSION(klon), INTENT(IN) :: prain !rapport au precipitation
	114	REAL, DIMENSION(klon), INTENT(IN) :: tsol !SST imposé sur la surface oceanique
	115	REAL, DIMENSION(klon), INTENT(IN) :: pat1 !pression premier lev
[3817]	116
	117
[4722]	118
[3817]	119	! Parametres de sortie
	120	!******************************************************************
	121	REAL, DIMENSION(klon), INTENT(OUT) :: cdm ! Drag coefficient for momentum
	122	REAL, DIMENSION(klon), INTENT(OUT) :: cdh ! Drag coefficient for heat flux
	123	REAL, DIMENSION(klon), INTENT(OUT) :: zri ! Richardson number
[4722]	124	REAL, DIMENSION(klon), INTENT(INOUT) :: pref ! Pression au niveau zgeop/RG
[3817]	125
	126	! Variables Locales
	127	!******************************************************************
	128	INCLUDE "YOETHF.h"
	129	INCLUDE "clesphys.h"
	130
	131
	132	REAL, PARAMETER :: CKAP=0.40, CKAPT=0.42
	133	REAL CEPDU2
	134	REAL ALPHA
	135	REAL CB,CC,CD,C2,C3
	136	REAL MU, CM, CH, B, CMstar, CHstar
	137	REAL PM, PH, BPRIME
	138	INTEGER ng_q1 ! Number of grids that q1 < 0.0
	139	INTEGER ng_qsurf ! Number of grids that qsurf < 0.0
[4722]	140	INTEGER i, k
[3817]	141	REAL zdu2, ztsolv
	142	REAL ztvd, zscf
	143	REAL zucf, zcr
	144	REAL, DIMENSION(klon) :: FM, FH ! stability functions
	145	REAL, DIMENSION(klon) :: cdmn, cdhn ! Drag coefficient in neutral conditions
	146	REAL zzzcd
[4478]	147	REAL, DIMENSION(klon) :: sm, prandtl ! Stability function from atke turbulence scheme
[4481]	148	REAL ri0, ri1, cn ! to have dimensionless term in sm and prandtl
[3817]	149
[4722]	150	!------------------ Rajout (OT2018) --------------------
	151	!------------------ Rajout pour les appelles BULK (OT) --------------------
	152	REAL, DIMENSION(klon,2) :: rugos_itm
	153	REAL, DIMENSION(klon,2) :: rugos_ith
	154	REAL, PARAMETER :: tol_it_rugos=1.e-4
	155	REAL, DIMENSION(3) :: coeffs
	156	LOGICAL :: mixte
	157	REAL :: z_0m
	158	REAL :: z_0h
	159	REAL, DIMENSION(klon) :: cdmm
	160	REAL, DIMENSION(klon) :: cdhh
	161
	162	!------------------RAJOUT POUR ECUME -------------------
	163
	164	REAL, DIMENSION(klon) :: PQSAT
	165	REAL, DIMENSION(klon) :: PSFTH
	166	REAL, DIMENSION(klon) :: PFSTQ
	167	REAL, DIMENSION(klon) :: PUSTAR
	168	REAL, DIMENSION(klon) :: PCD ! Drag coefficient for momentum
	169	REAL, DIMENSION(klon) :: PCDN ! Drag coefficient for momentum
	170	REAL, DIMENSION(klon) :: PCH ! Drag coefficient for momentum
	171	REAL, DIMENSION(klon) :: PCE ! Drag coefficient for momentum
	172	REAL, DIMENSION(klon) :: PRI
	173	REAL, DIMENSION(klon) :: PRESA
	174	REAL, DIMENSION(klon) :: PSSS
	175
	176	LOGICAL :: OPRECIP
	177	LOGICAL :: OPWEBB
	178	LOGICAL :: OPERTFLUX
	179	LOGICAL :: LPRECIP
	180	LOGICAL :: LPWG
	181
	182
	183
[3817]	184	LOGICAL, SAVE :: firstcall = .TRUE.
	185	!$OMP THREADPRIVATE(firstcall)
	186	INTEGER, SAVE :: iflag_corr_sta
	187	!$OMP THREADPRIVATE(iflag_corr_sta)
	188	INTEGER, SAVE :: iflag_corr_insta
	189	!$OMP THREADPRIVATE(iflag_corr_insta)
[4722]	190	LOGICAL, SAVE :: ok_cdrag_iter
	191	!$OMP THREADPRIVATE(ok_cdrag_iter)
[3817]	192
	193	!===================================================================c
	194	! Valeurs numeriques des constantes
	195	!===================================================================c
	196
	197
	198	! Minimum du carre du vent
	199
	200	CEPDU2 = (0.1)**2
	201
	202	! Louis 1982
	203
	204	CB=5.0
	205	CC=5.0
	206	CD=5.0
	207
	208
	209	! King 2001
	210
	211	C2=0.25
	212	C3=0.0625
	213
	214
	215	! Louis 1979
	216
	217	BPRIME=4.7
	218	B=9.4
	219
	220
	221	!MO
	222
	223	ALPHA=5.0
	224
[4481]	225	! Consistent with atke scheme
[4722]	226	cn=(1./sqrt(cepsilon))**(2./3.)
	227	ri0=2./rpi(cinf - cn)ric/cn
	228	ri1=-2./rpi * (pr_asym - pr_neut)/pr_slope
[4478]	229
[4481]	230
[3817]	231	! ================================================================= c
	232	! Tests avant de commencer
	233	! Fuxing WANG, 04/03/2015
	234	! To check if there are negative q1, qsurf values.
	235	!====================================================================c
	236	ng_q1 = 0 ! Initialization
	237	ng_qsurf = 0 ! Initialization
	238	DO i = 1, knon
	239	IF (q1(i).LT.0.0) ng_q1 = ng_q1 + 1
	240	IF (qsurf(i).LT.0.0) ng_qsurf = ng_qsurf + 1
	241	ENDDO
	242	IF (ng_q1.GT.0 .and. prt_level > 5) THEN
	243	WRITE(lunout,)" ** Warning: Negative q1(humidity at 1st level) values in cdrag.F90 !"
	244	WRITE(lunout,*)" The total number of the grids is: ", ng_q1
	245	WRITE(lunout,*)" The negative q1 is set to zero "
	246	! abort_message="voir ci-dessus"
	247	! CALL abort_physic(modname,abort_message,1)
	248	ENDIF
	249	IF (ng_qsurf.GT.0 .and. prt_level > 5) THEN
	250	WRITE(lunout,)" ** Warning: Negative qsurf(humidity at surface) values in cdrag.F90 !"
	251	WRITE(lunout,*)" The total number of the grids is: ", ng_qsurf
	252	WRITE(lunout,*)" The negative qsurf is set to zero "
	253	! abort_message="voir ci-dessus"
	254	! CALL abort_physic(modname,abort_message,1)
	255	ENDIF
	256
	257
	258
	259	!=============================================================================c
	260	! Calcul du cdrag
	261	!=============================================================================c
	262
	263	! On choisit les fonctions de stabilite utilisees au premier appel
	264	!**************************************************************************
[4722]	265	IF (firstcall) THEN
[3817]	266	iflag_corr_sta=2
	267	iflag_corr_insta=2
[4722]	268	ok_cdrag_iter = .FALSE.
[3817]	269
	270	CALL getin_p('iflag_corr_sta',iflag_corr_sta)
	271	CALL getin_p('iflag_corr_insta',iflag_corr_insta)
[4722]	272	CALL getin_p('ok_cdrag_iter',ok_cdrag_iter)
[3817]	273
	274	firstcall = .FALSE.
	275	ENDIF
	276
[4722]	277	!------------------ Rajout (OT2018) --------------------
	278	!--------- Rajout pour itération sur rugosité ----------------
	279	rugos_itm(:,2) = z0m
	280	rugos_itm(:,1) = 3.tol_it_rugosz0m
	281
	282	rugos_ith(:,2) = z0h !cp nouveau rugos_it
	283	rugos_ith(:,1) = 3.tol_it_rugosz0h
	284	!--------------------------------------------------------------------
	285
[3817]	286	!xxxxxxxxxxxxxxxxxxxxxxx
	287	DO i = 1, knon ! Boucle sur l'horizontal
	288	!xxxxxxxxxxxxxxxxxxxxxxx
	289
	290
	291	! calculs preliminaires:
	292	!***********************
	293
	294	zdu2 = MAX(CEPDU2, speed(i)**2)
	295	pref(i) = EXP(LOG(psol(i)) - zgeop1(i)/(RDt1(i) &
[4722]	296	(1.+ RETV * max(q1(i),0.0)))) ! negative q1 set to zero
[3817]	297	ztsolv = tsurf(i) * (1.0+RETV*max(qsurf(i),0.0)) ! negative qsurf set to zero
[4722]	298	ztvd = (t1(i)+zgeop1(i)/RCPD/(1.+RVTMP2*q1(i))) &
[3817]	299	(1.+RETVmax(q1(i),0.0)) ! negative q1 set to zero
[4722]	300
	301	!------------------ Rajout (OT2018) --------------------
	302	!-------------- ON DUPLIQUE POUR METTRE ITERATION SUR OCEAN ------------------------
[4478]	303	IF (iri_in.EQ.1) THEN
	304	zri(i) = ri_in(i)
	305	ENDIF
[3817]	306
[4722]	307	IF (nsrf == is_oce) THEN
	308
	309	!------------------ Pour Core 2 choix Core Pur ou Core Mixte --------------------
	310	IF ((choix_bulk > 1 .AND. choix_bulk < 4) .AND. (nsrf .eq. is_oce)) THEN
	311	IF(choix_bulk .eq. 2) THEN
	312	mixte = .false.
	313	ELSE
	314	mixte = .true.
	315	ENDIF
	316	call clc_core_cp ( sqrt(zdu2),t1(i)-tsurf(i),q1(i)-qsurf(i),t1(i),q1(i),&
	317	zgeop1(i)/RG, zgeop1(i)/RG, zgeop1(i)/RG,&
	318	psol(i),nit_bulk,mixte,&
	319	coeffs,z_0m,z_0h)
	320	cdmm(i) = coeffs(1)
	321	cdhh(i) = coeffs(2)
	322	cdm(i)=cdmm(i)
	323	cdh(i)=cdhh(i)
	324	write(,) "clc_core cd ch",cdmm(i),cdhh(i)
[3817]	325
[4722]	326	!------------------ Pour ECUME --------------------
	327	ELSE IF ((choix_bulk .eq. 4) .and. (nsrf .eq. is_oce)) THEN
	328	OPRECIP = .false.
	329	OPWEBB = .false.
	330	OPERTFLUX = .false.
	331	IF (nsrf .eq. is_oce) THEN
	332	PSSS = 0.0
	333	ENDIF
	334	call ini_csts
	335	call ecumev6_flux( z_0m,t1(i),tsurf(i),&
	336	q1(i),qsurf(i),sqrt(zdu2),zgeop1(i)/RG,PSSS,zgeop1(i)/RG,&
	337	psol(i),pat1(i), OPRECIP, OPWEBB,&
	338	PSFTH,PFSTQ,PUSTAR,PCD,PCDN,&
	339	PCH,PCE,PRI,PRESA,prain,&
	340	z_0h,OPERTFLUX,coeffs)
[3817]	341
[4722]	342	cdmm(i) = coeffs(1)
	343	cdhh(i) = coeffs(2)
	344	cdm(i)=cdmm(i)
	345	cdh(i)=cdhh(i)
	346
	347	write(,) "ecume cd ch",cdmm(i),cdhh(i)
[3817]	348
[4722]	349	!------------------ Pour COARE CNRM --------------------
	350	ELSE IF ((choix_bulk .eq. 5) .and. (nsrf .eq. is_oce)) THEN
	351	LPRECIP = .false.
	352	LPWG = .false.
	353	call ini_csts
[5060]	354	block
	355	real, dimension(1) :: z0m_1d, z_0h_1d, sqrt_zdu2_1d, zgeop1_rg_1d ! convert scalar to 1D for call
	356	z0m_1d = z0m
	357	z_0h_1d = z0h
	358	sqrt_zdu2_1d = sqrt(zdu2)
	359	zgeop1_rg_1d=zgeop1(i)/RG
	360	call coare30_flux_cnrm(z0m_1d,t1(i),tsurf(i), q1(i), &
	361	sqrt_zdu2_1d,zgeop1_rg_1d,zgeop1_rg_1d,psol(i),qsurf(i),PQSAT, &
	362	PSFTH,PFSTQ,PUSTAR,PCD,PCDN,PCH,PCE,PRI, &
	363	PRESA,prain,pat1(i),z_0h_1d, LPRECIP, LPWG, coeffs)
	364
	365	end block
[4722]	366	cdmm(i) = coeffs(1)
	367	cdhh(i) = coeffs(2)
	368	cdm(i)=cdmm(i)
	369	cdh(i)=cdhh(i)
	370	write(,) "coare CNRM cd ch",cdmm(i),cdhh(i)
[3817]	371
[4722]	372	!------------------ Pour COARE Maison --------------------
	373	ELSE IF ((choix_bulk .eq. 1) .and. (nsrf .eq. is_oce)) THEN
	374	IF ( pblh(i) .eq. 0. ) THEN
	375	pblh(i) = 1500.
	376	ENDIF
	377	write(,) "debug size",size(coeffs)
	378	call coare_cp(sqrt(zdu2),t1(i)-tsurf(i),q1(i)-qsurf(i),&
	379	t1(i),q1(i),&
	380	zgeop1(i)/RG,zgeop1(i)/RG,zgeop1(i)/RG,&
	381	psol(i), pblh(i),&
	382	nit_bulk,&
	383	coeffs,z_0m,z_0h)
	384	cdmm(i) = coeffs(1)
	385	cdhh(i) = coeffs(3)
	386	cdm(i)=cdmm(i)
	387	cdh(i)=cdhh(i)
	388	write(,) "coare cd ch",cdmm(i),cdhh(i)
	389	ELSE
	390	!------------------ Pour La param LMDZ (ocean) --------------------
	391	zri(i) = zgeop1(i)(ztvd-ztsolv)/(zdu2ztvd)
	392	IF (iri_in.EQ.1) THEN
	393	zri(i) = ri_in(i)
	394	ENDIF
	395	ENDIF
	396
[3817]	397
[4722]	398	!----------------------- Rajout des itérations --------------
	399	DO k=1,nit_bulk
[4481]	400
[4722]	401	! Coefficients CD neutres : k^2/ln(z/z0) et k^2/(ln(z/z0)*ln(z/z0h)):
	402	!********************************************************************
	403	zzzcd=CKAP/LOG(1.+zgeop1(i)/(RG*rugos_itm(i,2)))
	404	cdmn(i) = zzzcd*zzzcd
	405	cdhn(i) = zzzcd(CKAP/LOG(1.+zgeop1(i)/(RGrugos_ith(i,2))))
[4481]	406
[4722]	407	! Calcul des fonctions de stabilite FMs, FHs, FMi, FHi :
	408	!*******************************************************
	409	IF (zri(i) .LT. 0.) THEN
	410	SELECT CASE (iflag_corr_insta)
	411	CASE (1) ! Louis 1979 + Mascart 1995
	412	MU=LOG(MAX(z0m(i)/z0h(i),0.01))
	413	CMstar=6.8741+2.6933MU-0.3601(MU*2)+0.0154(MU**3)
	414	PM=0.5233-0.0815MU+0.0135(MU*2)-0.001(MU**3)
	415	CHstar=3.2165+4.3431MU+0.536(MU*2)-0.0781(MU**3)
	416	PH=0.5802-0.1571MU+0.0327(MU*2)-0.0026(MU**3)
	417	CH=CHstarBCKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) &
	418	& * CKAPT/LOG(z0h(i)+zgeop1(i)/(RG*z0h(i))) &
	419	& * ((zgeop1(i)/(RGz0h(i)))*PH)
	420	CM=CMstarBCKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) &
	421	& CKAP/LOG(z0m(i)+zgeop1(i)/(RGz0m(i))) &
	422	& * ((zgeop1(i)/(RGz0m(i)))*PM)
	423	FM(i)=1.-Bzri(i)/(1.+CMSQRT(ABS(zri(i))))
	424	FH(i)=1.-Bzri(i)/(1.+CHSQRT(ABS(zri(i))))
	425	CASE (2) ! 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	CASE (3) ! Laurent Li
	431	FM(i) = MAX(SQRT(1.0-18.0*zri(i)),f_ri_cd_min)
	432	FH(i) = MAX(SQRT(1.0-18.0*zri(i)),f_ri_cd_min)
	433	CASE (6) ! Consistent with turbulence scheme (in stationary case) derived in atke (2023)
	434	sm(i) = 2./rpi * (cinf - cn) * atan(-zri(i)/ri0) + cn
	435	prandtl(i) = -2./rpi * (pr_asym - pr_neut) * atan(zri(i)/ri1) + pr_neut
	436	FM(i) = MAX((sm(i)*(3./2.) sqrt(cepsilon) * (1 - zri(i) / prandtl(i))**(1./2.)),f_ri_cd_min)
	437	FH(i) = MAX((FM(i) / prandtl(i)), f_ri_cd_min)
	438	CASE default ! Louis 1982
	439	zucf = 1./(1.+3.0CBCCcdmn(i)SQRT(ABS(zri(i)) &
	440	(1.0+zgeop1(i)/(RGz0m(i)))))
	441	FM(i) = AMAX1((1.-2.0CBzri(i)*zucf),f_ri_cd_min)
	442	FH(i) = AMAX1((1.-3.0CBzri(i)*zucf),f_ri_cd_min)
	443	END SELECT
[3817]	444	! Calcul des drags
[4722]	445	cdmm(i)=cdmn(i)*FM(i)
	446	cdhh(i)=f_cdrag_tercdhn(i)FH(i)
[3817]	447	! Traitement particulier des cas oceaniques
	448	! on applique Miller et al 1992 en l'absence de gustiness
[4722]	449	IF (nsrf == is_oce) THEN
	450	! cdh(i)=f_cdrag_ocecdhn(i)FH(i)
	451	IF (iflag_gusts==0) THEN
	452	zcr = (0.0016/(cdmn(i)SQRT(zdu2)))ABS(ztvd-ztsolv)**(1./3.)
	453	cdhh(i) =f_cdrag_oce* cdhn(i)(1.0+zcr1.25)*(1./1.25)
	454	ENDIF
	455	cdmm(i)=MIN(cdmm(i),cdmmax)
	456	cdhh(i)=MIN(cdhh(i),cdhmax)
	457	! write(,) "LMDZ cd ch",cdmm(i),cdhh(i)
	458	END IF
	459	ELSE
[3817]	460
	461	!'''''''''''''''
	462	! Cas stables :
	463	!'''''''''''''''
[4722]	464	zri(i) = MIN(20.,zri(i))
	465	SELECT CASE (iflag_corr_sta)
	466	CASE (1) ! Louis 1979 + Mascart 1995
	467	FM(i)=MAX(1./((1+BPRIMEzri(i))*2),f_ri_cd_min)
	468	FH(i)=FM(i)
	469	CASE (2) ! Louis 1982
	470	zscf = SQRT(1.+CD*ABS(zri(i)))
	471	FM(i)= AMAX1(1. / (1.+2.CBzri(i)/zscf), f_ri_cd_min)
	472	FH(i)= AMAX1(1./ (1.+3.CBzri(i)*zscf), f_ri_cd_min )
	473	CASE (3) ! Laurent Li
	474	FM(i)=MAX(1.0 / (1.0+10.0zri(i)(1+8.0*zri(i))),f_ri_cd_min)
	475	FH(i)=FM(i)
	476	CASE (4) ! King 2001
	477	IF (zri(i) .LT. C2/2.) THEN
	478	FM(i)=MAX((1.-zri(i)/C2)**2,f_ri_cd_min)
	479	FH(i)= FM(i)
	480	ELSE
	481	FM(i)=MAX(C3((C2/zri(i))*2),f_ri_cd_min)
	482	FH(i)= FM(i)
	483	ENDIF
	484	CASE (5) ! MO
	485	if (zri(i) .LT. 1./alpha) then
	486	FM(i)=MAX((1.-alphazri(i))*2,f_ri_cd_min)
	487	FH(i)=FM(i)
	488	else
	489	FM(i)=MAX(1E-7,f_ri_cd_min)
	490	FH(i)=FM(i)
	491	endif
	492	CASE (6) ! Consistent with turbulence scheme (in stationary case) derived in atke (2023)
[4777]	493	sm(i) = MAX(smmin,cn*(1.-zri(i)/ric))
	494	! prandlt expression from venayagamoorthy and stretch 2010, Li et al 2019
	495	prandtl(i) = pr_neutexp(-pr_slope/pr_neutzri(i)+zri(i)/pr_neut) &
	496	+ zri(i) * pr_slope
[4722]	497	FM(i) = MAX((sm(i)*(3./2.) sqrt(cepsilon) * (1 - zri(i) / prandtl(i))**(1./2.)),f_ri_cd_min)
	498	FH(i) = MAX((FM(i) / prandtl(i)), f_ri_cd_min)
	499	CASE default ! Louis 1982
	500	zscf = SQRT(1.+CD*ABS(zri(i)))
	501	FM(i)= AMAX1(1. / (1.+2.CBzri(i)/zscf), f_ri_cd_min)
	502	FH(i)= AMAX1(1./ (1.+3.CBzri(i)*zscf), f_ri_cd_min )
	503	END SELECT
[3817]	504
[4722]	505	! Calcul des drags
[3817]	506
[4722]	507	cdmm(i)=cdmn(i)*FM(i)
	508	cdhh(i)=f_cdrag_tercdhn(i)FH(i)
[4725]	509
[4722]	510	IF (choix_bulk == 0) THEN
	511	cdm(i)=cdmn(i)*FM(i)
	512	cdh(i)=f_cdrag_tercdhn(i)FH(i)
	513	ENDIF
[3817]	514
[4722]	515	IF (nsrf.EQ.is_oce) THEN
	516	cdhh(i)=f_cdrag_ocecdhn(i)FH(i)
[4725]	517	cdmm(i)=MIN(cdmm(i),cdmmax)
	518	cdhh(i)=MIN(cdhh(i),cdhmax)
[4722]	519	ENDIF
	520	IF (ok_cdrag_iter) THEN
	521	rugos_itm(i,1) = rugos_itm(i,2)
	522	rugos_ith(i,1) = rugos_ith(i,2)
	523	rugos_itm(i,2) = 0.018cdmm(i) (speed(i))/RG &
	524	+ 0.1114e-6 / SQRT(cdmm(i) zdu2)
[3817]	525
[4722]	526	!---------- Version SEPARATION DES Z0 ----------------------
	527	IF (iflag_z0_oce==0) THEN
	528	rugos_ith(i,2) = rugos_itm(i,2)
	529	ELSE IF (iflag_z0_oce==1) THEN
	530	rugos_ith(i,2) = 0.4014e-6 / SQRT(cdmm(i) zdu2)
	531	ENDIF
	532	ENDIF
	533	ENDIF
	534	IF (ok_cdrag_iter) THEN
	535	rugos_itm(i,2) = MAX(1.5e-05,rugos_itm(i,2))
	536	rugos_ith(i,2) = MAX(1.5e-05,rugos_ith(i,2))
	537	ENDIF
	538	ENDDO
	539	IF (nsrf.EQ.is_oce) THEN
	540	cdm(i)=MIN(cdmm(i),cdmmax)
	541	cdh(i)=MIN(cdhh(i),cdhmax)
	542	ENDIF
	543	z0m = rugos_itm(:,2)
	544	z0h = rugos_ith(:,2)
	545	ELSE ! (nsrf == is_oce)
	546	zri(i) = zgeop1(i)(ztvd-ztsolv)/(zdu2ztvd)
	547	IF (iri_in.EQ.1) THEN
	548	zri(i) = ri_in(i)
	549	ENDIF
[3817]	550
[4722]	551	! Coefficients CD neutres : k^2/ln(z/z0) et k^2/(ln(z/z0)*ln(z/z0h)):
	552	!********************************************************************
	553	zzzcd=CKAP/LOG(1.+zgeop1(i)/(RG*z0m(i)))
	554	cdmn(i) = zzzcd*zzzcd
	555	cdhn(i) = zzzcd(CKAP/LOG(1.+zgeop1(i)/(RGz0h(i))))
[3817]	556
	557
[4722]	558	! Calcul des fonctions de stabilit?? FMs, FHs, FMi, FHi :
	559	!*******************************************************
	560	!''''''''''''''
	561	! Cas instables
	562	!''''''''''''''
	563	IF (zri(i) .LT. 0.) THEN
	564	SELECT CASE (iflag_corr_insta)
	565	CASE (1) ! Louis 1979 + Mascart 1995
	566	MU=LOG(MAX(z0m(i)/z0h(i),0.01))
	567	CMstar=6.8741+2.6933MU-0.3601(MU*2)+0.0154(MU**3)
	568	PM=0.5233-0.0815MU+0.0135(MU*2)-0.001(MU**3)
	569	CHstar=3.2165+4.3431MU+0.536(MU*2)-0.0781(MU**3)
	570	PH=0.5802-0.1571MU+0.0327(MU*2)-0.0026(MU**3)
	571	CH=CHstarBCKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) &
	572	& * CKAPT/LOG(z0h(i)+zgeop1(i)/(RG*z0h(i))) &
	573	& * ((zgeop1(i)/(RGz0h(i)))*PH)
	574	CM=CMstarBCKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) &
	575	& CKAP/LOG(z0m(i)+zgeop1(i)/(RGz0m(i))) &
	576	& * ((zgeop1(i)/(RGz0m(i)))*PM)
	577	FM(i)=1.-Bzri(i)/(1.+CMSQRT(ABS(zri(i))))
	578	FH(i)=1.-Bzri(i)/(1.+CHSQRT(ABS(zri(i))))
	579	CASE (2) ! 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	CASE (3) ! Laurent Li
	585	FM(i) = MAX(SQRT(1.0-18.0*zri(i)),f_ri_cd_min)
	586	FH(i) = MAX(SQRT(1.0-18.0*zri(i)),f_ri_cd_min)
	587	CASE (6) ! Consistent with turbulence scheme (in stationary case) derived in atke (2023)
	588	sm(i) = 2./rpi * (cinf - cn) * atan(-zri(i)/ri0) + cn
	589	prandtl(i) = -2./rpi * (pr_asym - pr_neut) * atan(zri(i)/ri1) + pr_neut
	590	FM(i) = MAX((sm(i)*(3./2.) sqrt(cepsilon) * (1 - zri(i) / prandtl(i))**(1./2.)),f_ri_cd_min)
	591	FH(i) = MAX((FM(i) / prandtl(i)), f_ri_cd_min)
	592	CASE default ! Louis 1982
	593	zucf = 1./(1.+3.0CBCCcdmn(i)SQRT(ABS(zri(i)) &
	594	(1.0+zgeop1(i)/(RGz0m(i)))))
	595	FM(i) = AMAX1((1.-2.0CBzri(i)*zucf),f_ri_cd_min)
	596	FH(i) = AMAX1((1.-3.0CBzri(i)*zucf),f_ri_cd_min)
	597	END SELECT
[3817]	598	! Calcul des drags
[4722]	599	cdm(i)=cdmn(i)*FM(i)
	600	cdh(i)=f_cdrag_tercdhn(i)FH(i)
	601	ELSE
	602	!'''''''''''''''
	603	! Cas stables :
	604	!'''''''''''''''
	605	zri(i) = MIN(20.,zri(i))
	606	SELECT CASE (iflag_corr_sta)
	607	CASE (1) ! Louis 1979 + Mascart 1995
	608	FM(i)=MAX(1./((1+BPRIMEzri(i))*2),f_ri_cd_min)
	609	FH(i)=FM(i)
	610	CASE (2) ! Louis 1982
	611	zscf = SQRT(1.+CD*ABS(zri(i)))
	612	FM(i)= AMAX1(1. / (1.+2.CBzri(i)/zscf), f_ri_cd_min)
	613	FH(i)= AMAX1(1./ (1.+3.CBzri(i)*zscf), f_ri_cd_min )
	614	CASE (3) ! Laurent Li
	615	FM(i)=MAX(1.0 / (1.0+10.0zri(i)(1+8.0*zri(i))),f_ri_cd_min)
	616	FH(i)=FM(i)
	617	CASE (4) ! King 2001
	618	if (zri(i) .LT. C2/2.) then
	619	FM(i)=MAX((1.-zri(i)/C2)**2,f_ri_cd_min)
	620	FH(i)= FM(i)
	621	else
	622	FM(i)=MAX(C3((C2/zri(i))*2),f_ri_cd_min)
	623	FH(i)= FM(i)
	624	endif
	625	CASE (5) ! MO
	626	if (zri(i) .LT. 1./alpha) then
	627	FM(i)=MAX((1.-alphazri(i))*2,f_ri_cd_min)
	628	FH(i)=FM(i)
	629	else
	630	FM(i)=MAX(1E-7,f_ri_cd_min)
	631	FH(i)=FM(i)
	632	endif
	633	CASE (6) ! Consistent with turbulence scheme (in stationary case) derived in atke (2023)
	634	sm(i) = MAX(0.,cn*(1.-zri(i)/ric))
	635	prandtl(i) = pr_neut + zri(i) * pr_slope
	636	FM(i) = MAX((sm(i)*(3./2.) sqrt(cepsilon) * (1 - zri(i) / prandtl(i))**(1./2.)),f_ri_cd_min)
	637	FH(i) = MAX((FM(i) / prandtl(i)), f_ri_cd_min)
	638	CASE default ! Louis 1982
	639	zscf = SQRT(1.+CD*ABS(zri(i)))
	640	FM(i)= AMAX1(1. / (1.+2.CBzri(i)/zscf), f_ri_cd_min)
	641	FH(i)= AMAX1(1./ (1.+3.CBzri(i)*zscf), f_ri_cd_min )
	642	END SELECT
	643	! Calcul des drags
	644	cdm(i)=cdmn(i)*FM(i)
	645	cdh(i)=f_cdrag_tercdhn(i)FH(i)
	646	ENDIF
	647	ENDIF ! fin du if (nsrf == is_oce)
[3817]	648	END DO ! Fin de la boucle sur l'horizontal
[4725]	649
[3817]	650	END SUBROUTINE cdrag
	651
	652	END MODULE cdrag_mod

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