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zdfkpp.F90 @ 9383

Last change on this file since 9383 was 9383, checked in by andmirek, 6 years ago
#2050 fixes and changes
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[255]	1	MODULE zdfkpp
	2	!!======================================================================
	3	!! * MODULE zdfkpp *
	4	!! Ocean physics: vertical mixing coefficient compute from the KPP
	5	!! turbulent closure parameterization
	6	!!=====================================================================
[2528]	7	!! History : OPA ! 2000-03 (W.G. Large, J. Chanut) Original code
	8	!! 8.1 ! 2002-06 (J.M. Molines) for real case CLIPPER
	9	!! 8.2 ! 2003-10 (Chanut J.) re-writting
	10	!! NEMO 1.0 ! 2005-01 (C. Ethe, G. Madec) Free form, F90 + creation of tra_kpp routine
[2715]	11	!! 3.3 ! 2010-10 (C. Ethe, G. Madec) reorganisation of initialisation phase + merge TRC-TRA
[503]	12	!!----------------------------------------------------------------------
[255]	13	#if defined key_zdfkpp \|\| defined key_esopa
	14	!!----------------------------------------------------------------------
	15	!! 'key_zdfkpp' KPP scheme
	16	!!----------------------------------------------------------------------
[3625]	17	!! zdf_kpp : update momentum and tracer Kz from a kpp scheme
	18	!! zdf_kpp_init : initialization, namelist read, and parameters control
	19	!! tra_kpp : compute and add to the T & S trend the non-local flux
	20	!! trc_kpp : compute and add to the passive tracer trend the non-local flux (lk_top=T)
[255]	21	!!----------------------------------------------------------------------
[3625]	22	USE oce ! ocean dynamics and active tracers
	23	USE dom_oce ! ocean space and time domain
	24	USE zdf_oce ! ocean vertical physics
	25	USE sbc_oce ! surface boundary condition: ocean
	26	USE phycst ! physical constants
	27	USE eosbn2 ! equation of state
[4990]	28	USE zdfddm ! double diffusion mixing (avs array)
	29	USE lib_mpp ! MPP library
	30	USE trd_oce ! ocean trends definition
	31	USE trdtra ! tracers trends
	32	!
[3625]	33	USE in_out_manager ! I/O manager
	34	USE lbclnk ! ocean lateral boundary conditions (or mpp link)
	35	USE prtctl ! Print control
[4990]	36	USE wrk_nemo ! work arrays
[3625]	37	USE timing ! Timing
[4990]	38	USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined)
[255]	39
	40	IMPLICIT NONE
	41	PRIVATE
	42
[2528]	43	PUBLIC zdf_kpp ! routine called by step.F90
	44	PUBLIC zdf_kpp_init ! routine called by opa.F90
	45	PUBLIC tra_kpp ! routine called by step.F90
	46	PUBLIC trc_kpp ! routine called by trcstp.F90
[9366]	47	PRIVATE kpp_namelist
[255]	48
[1537]	49	LOGICAL , PUBLIC, PARAMETER :: lk_zdfkpp = .TRUE. !: KPP vertical mixing flag
	50
[2715]	51	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghats !: non-local scalar mixing term (gamma/<ws>o)
	52	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: wt0 !: surface temperature flux for non local flux
	53	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ws0 !: surface salinity flux for non local flux
	54	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hkpp !: boundary layer depth
[503]	55
[4147]	56	! !!* Namelist namzdf_kpp *
	57	REAL(wp) :: rn_difmiw ! constant internal wave viscosity (m2/s)
	58	REAL(wp) :: rn_difsiw ! constant internal wave diffusivity (m2/s)
	59	REAL(wp) :: rn_riinfty ! local Richardson Number limit for shear instability
	60	REAL(wp) :: rn_difri ! maximum shear mixing at Rig = 0 (m2/s)
	61	REAL(wp) :: rn_bvsqcon ! Brunt-Vaisala squared (1/s**2) for maximum convection
	62	REAL(wp) :: rn_difcon ! maximum mixing in interior convection (m2/s)
	63	INTEGER :: nn_ave ! = 0/1 flag for horizontal average on avt, avmu, avmv
[255]	64
	65	#if defined key_zdfddm
[2528]	66	! !!! ** Double diffusion Mixing
	67	REAL(wp) :: difssf = 1.e-03_wp ! maximum salt fingering mixing
	68	REAL(wp) :: Rrho0 = 1.9_wp ! limit for salt fingering mixing
	69	REAL(wp) :: difsdc = 1.5e-06_wp ! maximum diffusive convection mixing
[255]	70	#endif
[4147]	71	LOGICAL :: ln_kpprimix ! Shear instability mixing
[255]	72
[2528]	73	! !!! General constants
	74	REAL(wp) :: epsln = 1.0e-20_wp ! a small positive number
	75	REAL(wp) :: pthird = 1._wp/3._wp ! 1/3
	76	REAL(wp) :: pfourth = 1._wp/4._wp ! 1/4
[255]	77
[2528]	78	! !!! Boundary Layer Turbulence Parameters
	79	REAL(wp) :: vonk = 0.4_wp ! von Karman's constant
	80	REAL(wp) :: epsilon = 0.1_wp ! nondimensional extent of the surface layer
	81	REAL(wp) :: rconc1 = 5.0_wp ! standard flux profile function parmaeters
	82	REAL(wp) :: rconc2 = 16.0_wp ! " "
	83	REAL(wp) :: rconcm = 8.38_wp ! momentum flux profile fit
	84	REAL(wp) :: rconam = 1.26_wp ! " "
	85	REAL(wp) :: rzetam = -.20_wp ! " "
	86	REAL(wp) :: rconcs = 98.96_wp ! scalar flux profile fit
	87	REAL(wp) :: rconas = -28.86_wp ! " "
	88	REAL(wp) :: rzetas = -1.0_wp ! " "
	89
	90	! !!! Boundary Layer Depth Diagnostic
	91	REAL(wp) :: Ricr = 0.3_wp ! critical bulk Richardson Number
	92	REAL(wp) :: rcekman = 0.7_wp ! coefficient for ekman depth
	93	REAL(wp) :: rcmonob = 1.0_wp ! coefficient for Monin-Obukhov depth
	94	REAL(wp) :: rconcv = 1.7_wp ! ratio of interior buoyancy frequency to its value at entrainment depth
	95	REAL(wp) :: hbf = 1.0_wp ! fraction of bound. layer depth to which absorbed solar
	96	! ! rad. and contributes to surf. buo. forcing
	97	REAL(wp) :: Vtc ! function of rconcv,rconcs,epsilon,vonk,Ricr
	98
	99	! !!! Nonlocal Boundary Layer Mixing
	100	REAL(wp) :: rcstar = 5.0_wp ! coefficient for convective nonlocal transport
	101	REAL(wp) :: rcs = 1.0e-3_wp ! conversion: mm/s ==> m/s
	102	REAL(wp) :: rcg ! non-dimensional coefficient for nonlocal transport
[255]	103
	104	#if ! defined key_kppcustom
[2715]	105	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: del ! array for reference mean values of vertical integration
[255]	106	#endif
	107
	108	#if defined key_kpplktb
[2528]	109	! !!! Parameters for lookup table for turbulent velocity scales
	110	INTEGER, PARAMETER :: nilktb = 892 ! number of values for zehat in KPP lookup table
	111	INTEGER, PARAMETER :: njlktb = 482 ! number of values for ustar in KPP lookup table
	112	INTEGER, PARAMETER :: nilktbm1 = nilktb-1 !
	113	INTEGER, PARAMETER :: njlktbm1 = njlktb-1 !
[255]	114
[2528]	115	REAL(wp), DIMENSION(nilktb,njlktb) :: wmlktb ! lookup table for the turbulent vertical velocity scale (momentum)
	116	REAL(wp), DIMENSION(nilktb,njlktb) :: wslktb ! lookup table for the turbulent vertical velocity scale (tracers)
[255]	117
[2528]	118	REAL(wp) :: dehatmin = -4.e-7_wp ! minimum limit for zhat in lookup table (m3/s3)
	119	REAL(wp) :: dehatmax = 0._wp ! maximum limit for zhat in lookup table (m3/s3)
	120	REAL(wp) :: ustmin = 0._wp ! minimum limit for ustar in lookup table (m/s)
	121	REAL(wp) :: ustmax = 0.04_wp ! maximum limit for ustar in lookup table (m/s)
	122	REAL(wp) :: dezehat ! delta zhat in lookup table
	123	REAL(wp) :: deustar ! delta ustar in lookup table
[255]	124	#endif
[2715]	125	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:) :: ratt ! attenuation coef (already defines in module traqsr,
[1601]	126	! ! but only if the solar radiation penetration is considered)
[2528]	127
	128	! !!! * penetrative solar radiation coefficient *
	129	REAL(wp) :: rabs = 0.58_wp ! fraction associated with xsi1
	130	REAL(wp) :: xsi1 = 0.35_wp ! first depth of extinction
	131	REAL(wp) :: xsi2 = 23.0_wp ! second depth of extinction
[255]	132	! ! (default values: water type Ib)
	133
[2715]	134	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: etmean, eumean, evmean ! coeff. used for hor. smoothing at t-, u- & v-points
[2528]	135
[899]	136	#if defined key_c1d
[2715]	137	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: rig !: gradient Richardson number
	138	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: rib !: bulk Richardson number
	139	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: buof !: buoyancy forcing
	140	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: mols !: moning-Obukhov length scale
	141	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ekdp !: Ekman depth
[255]	142	#endif
	143
[1601]	144	INTEGER :: jip = 62 , jjp = 111
[255]	145
	146	!! * Substitutions
	147	# include "domzgr_substitute.h90"
	148	# include "vectopt_loop_substitute.h90"
[896]	149	# include "zdfddm_substitute.h90"
[255]	150	!!----------------------------------------------------------------------
[2715]	151	!! NEMO/OPA 4.0 , NEMO Consortium (2011)
[888]	152	!! $Id$
[2715]	153	!! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt)
[255]	154	!!----------------------------------------------------------------------
	155	CONTAINS
	156
[2715]	157	INTEGER FUNCTION zdf_kpp_alloc()
	158	!!----------------------------------------------------------------------
	159	!! * FUNCTION zdf_kpp_alloc *
	160	!!----------------------------------------------------------------------
	161	ALLOCATE( ghats(jpi,jpj,jpk), wt0(jpi,jpj), ws0(jpi,jpj), hkpp(jpi,jpj), &
	162	#if ! defined key_kpplktb
	163	& del(jpk,jpk), &
	164	#endif
	165	& ratt(jpk), &
	166	& etmean(jpi,jpj,jpk), eumean(jpi,jpj,jpk), evmean(jpi,jpj,jpk), &
	167	#if defined key_c1d
	168	& rig (jpi,jpj,jpk), rib(jpi,jpj,jpk), buof(jpi,jpj,jpk), &
	169	& mols(jpi,jpj,jpk), ekdp(jpi,jpj), &
	170	#endif
	171	& STAT= zdf_kpp_alloc )
	172	!
	173	IF( lk_mpp ) CALL mpp_sum ( zdf_kpp_alloc )
	174	IF( zdf_kpp_alloc /= 0 ) CALL ctl_warn('zdf_kpp_alloc: failed to allocate arrays')
	175	END FUNCTION zdf_kpp_alloc
	176
	177
[2528]	178	SUBROUTINE zdf_kpp( kt )
[255]	179	!!----------------------------------------------------------------------
	180	!! * ROUTINE zdf_kpp *
	181	!!
	182	!! ** Purpose : Compute the vertical eddy viscosity and diffusivity
	183	!! coefficients and non local mixing using K-profile parameterization
	184	!!
	185	!! ** Method : The boundary layer depth hkpp is diagnosed at tracer points
	186	!! from profiles of buoyancy, and shear, and the surface forcing.
	187	!! Above hbl (sigma=-z/hbl <1) the mixing coefficients are computed from
	188	!!
	189	!! Kx = hkpp Wx(sigma) G(sigma)
	190	!!
	191	!! and the non local term ghat = Cs / Ws(sigma) / hkpp
	192	!! Below hkpp the coefficients are the sum of mixing due to internal waves
	193	!! shear instability and double diffusion.
	194	!!
	195	!! -1- Compute the now interior vertical mixing coefficients at all depths.
	196	!! -2- Diagnose the boundary layer depth.
	197	!! -3- Compute the now boundary layer vertical mixing coefficients.
	198	!! -4- Compute the now vertical eddy vicosity and diffusivity.
	199	!! -5- Smoothing
	200	!!
	201	!! N.B. The computation is done from jk=2 to jpkm1
	202	!! Surface value of avt avmu avmv are set once a time to zero
	203	!! in routine zdf_kpp_init.
	204	!!
	205	!! ** Action : update the non-local terms ghats
	206	!! update avt, avmu, avmv (before vertical eddy coef.)
	207	!!
[503]	208	!! References : Large W.G., Mc Williams J.C. and Doney S.C.
[255]	209	!! Reviews of Geophysics, 32, 4, November 1994
	210	!! Comments in the code refer to this paper, particularly
	211	!! the equation number. (LMD94, here after)
	212	!!----------------------------------------------------------------------
[2528]	213	USE oce , zviscos => ua ! temp. array for viscosities use ua as workspace
[3294]	214	USE oce , zdiffut => va ! temp. array for diffusivities use sa as workspace
[503]	215	!!
	216	INTEGER, INTENT( in ) :: kt ! ocean time step
	217	!!
	218	INTEGER :: ji, jj, jk ! dummy loop indices
	219	INTEGER :: ikbot, jkmax, jkm1, jkp2 !
[255]	220
[2528]	221	REAL(wp) :: ztx, zty, zflageos, zstabl, zbuofdep,zucube !
	222	REAL(wp) :: zrhos, zalbet, zbeta, zthermal, zhalin, zatt1 !
	223	REAL(wp) :: zref, zt, zs, zh, zu, zv, zrh ! Bulk richardson number
	224	REAL(wp) :: zrib, zrinum, zdVsq, zVtsq !
	225	REAL(wp) :: zehat, zeta, zhrib, zsig, zscale, zwst, zws, zwm ! Velocity scales
[255]	226	#if defined key_kpplktb
[2528]	227	INTEGER :: il, jl ! Lookup table or Analytical functions
	228	REAL(wp) :: ud, zfrac, ufrac, zwam, zwbm, zwas, zwbs !
[255]	229	#else
[2528]	230	REAL(wp) :: zwsun, zwmun, zcons, zconm, zwcons, zwconm !
[255]	231	#endif
[2528]	232	REAL(wp) :: zsr, zbw, ze, zb, zd, zc, zaw, za, zb1, za1, zkw, zk0, zcomp , zrhd,zrhdr,zbvzed ! In situ density
[255]	233	#if ! defined key_kppcustom
[2528]	234	INTEGER :: jm ! dummy loop indices
	235	REAL(wp) :: zr1, zr2, zr3, zr4, zrhop ! Compression terms
[255]	236	#endif
[2528]	237	REAL(wp) :: zflag, ztemp, zrn2, zdep21, zdep32, zdep43
	238	REAL(wp) :: zdku2, zdkv2, ze3sqr, zsh2, zri, zfri ! Interior richardson mixing
[3294]	239	REAL(wp), POINTER, DIMENSION(:,:) :: zmoek ! Moning-Obukov limitation
[2715]	240	REAL(wp), POINTER, DIMENSION(:) :: zmoa, zekman
	241	REAL(wp) :: zmob, zek
	242	REAL(wp), POINTER, DIMENSION(:,:) :: zdepw, zdift, zvisc ! The pipe
	243	REAL(wp), POINTER, DIMENSION(:,:) :: zdept
	244	REAL(wp), POINTER, DIMENSION(:,:) :: zriblk
	245	REAL(wp), POINTER, DIMENSION(:) :: zhmax, zria, zhbl
[2528]	246	REAL(wp) :: zflagri, zflagek, zflagmo, zflagh, zflagkb !
[2715]	247	REAL(wp), POINTER, DIMENSION(:) :: za2m, za3m, zkmpm, za2t, za3t, zkmpt ! Shape function (G)
[2528]	248	REAL(wp) :: zdelta, zdelta2, zdzup, zdzdn, zdzh, zvath, zgat1, zdat1, zkm1m, zkm1t
[255]	249	#if defined key_zdfddm
[4990]	250	REAL(wp) :: zrw, zkm1s ! local scalars
	251	REAL(wp) :: zrrau, zdt, zds, zavdds, zavddt, zinr ! double diffusion mixing
	252	REAL(wp), POINTER, DIMENSION(:,:) :: zdifs
[3764]	253	REAL(wp), POINTER, DIMENSION(:) :: za2s, za3s, zkmps
	254	REAL(wp), POINTER, DIMENSION(:,:) :: zblcs
[3294]	255	REAL(wp), POINTER, DIMENSION(:,:,:) :: zdiffus
[255]	256	#endif
[3294]	257	REAL(wp), POINTER, DIMENSION(:,:) :: zBo, zBosol, zustar ! Surface buoyancy forcing, friction velocity
	258	REAL(wp), POINTER, DIMENSION(:,:) :: zmask, zblcm, zblct
[255]	259	!!--------------------------------------------------------------------
[3294]	260	!
	261	IF( nn_timing == 1 ) CALL timing_start('zdf_kpp')
	262	!
	263	CALL wrk_alloc( jpi, zmoa, zekman, zhmax, zria, zhbl )
	264	CALL wrk_alloc( jpi, za2m, za3m, zkmpm, za2t, za3t, zkmpt )
	265	CALL wrk_alloc( jpi,2, zriblk )
	266	CALL wrk_alloc( jpi,3, zmoek, kjstart = 0 )
	267	CALL wrk_alloc( jpi,3, zdept )
	268	CALL wrk_alloc( jpi,4, zdepw, zdift, zvisc )
	269	CALL wrk_alloc( jpi,jpj, zBo, zBosol, zustar )
[3764]	270	CALL wrk_alloc( jpi,jpk, zmask, zblcm, zblct )
[2715]	271	#if defined key_zdfddm
[3294]	272	CALL wrk_alloc( jpi,4, zdifs )
	273	CALL wrk_alloc( jpi, zmoa, za2s, za3s, zkmps )
	274	CALL wrk_alloc( jpi,jpk, zblcs )
	275	CALL wrk_alloc( jpi,jpi,jpk, zdiffus )
[2715]	276	#endif
	277
[4990]	278	zviscos(:,:,:) = 0._wp
	279	zblcm (:,: ) = 0._wp
	280	zdiffut(:,:,:) = 0._wp
	281	zblct (:,: ) = 0._wp
[255]	282	#if defined key_zdfddm
[4990]	283	zdiffus(:,:,:) = 0._wp
	284	zblcs (:,: ) = 0._wp
[255]	285	#endif
[4990]	286	ghats (:,:,:) = 0._wp
	287	zBo (:,: ) = 0._wp
	288	zBosol (:,: ) = 0._wp
	289	zustar (:,: ) = 0._wp
	290	!
[255]	291	!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
	292	! I. Interior diffusivity and viscosity at w points ( T interfaces)
	293	!<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	294	DO jk = 2, jpkm1
	295	DO jj = 2, jpjm1
	296	DO ji = fs_2, fs_jpim1
	297	! Mixing due to internal waves breaking
	298	! -------------------------------------
[1537]	299	avmu(ji,jj,jk) = rn_difmiw
	300	avt (ji,jj,jk) = rn_difsiw
[255]	301	! Mixing due to vertical shear instability
	302	! -------------------------------------
	303	IF( ln_kpprimix ) THEN
	304	! Compute the gradient Richardson number at interfaces (zri):
	305	! LMD94, eq. 27 (is vertical smoothing needed : Rig=N^2 / (dz(u))^2 + (dz(v))^2
	306	zdku2 = ( un(ji - 1,jj,jk - 1) - un(ji - 1,jj,jk) ) &
	307	& * ( un(ji - 1,jj,jk - 1) - un(ji - 1,jj,jk) ) &
	308	& + ( un(ji ,jj,jk - 1) - un(ji ,jj,jk) ) &
	309	& * ( un(ji ,jj,jk - 1) - un(ji ,jj,jk) )
	310
	311	zdkv2 = ( vn(ji,jj - 1,jk - 1) - vn(ji,jj - 1,jk) ) &
	312	& * ( vn(ji,jj - 1,jk - 1) - vn(ji,jj - 1,jk) ) &
	313	& + ( vn(ji, jj,jk - 1) - vn(ji, jj,jk) ) &
	314	& * ( vn(ji, jj,jk - 1) - vn(ji, jj,jk) )
	315
	316	ze3sqr = 1. / ( fse3w(ji,jj,jk) * fse3w(ji,jj,jk) )
	317	! Square of vertical shear at interfaces
[1082]	318	zsh2 = 0.5 * ( zdku2 + zdkv2 ) * ze3sqr
[255]	319	zri = MAX( rn2(ji,jj,jk), 0. ) / ( zsh2 + epsln )
[899]	320	#if defined key_c1d
[255]	321	! save the gradient richardson number
	322	rig(ji,jj,jk) = zri * tmask(ji,jj,jk)
	323	#endif
	324	! Evaluate f of Ri (zri) for shear instability store in zfri
	325	! LMD94, eq. 28a,b,c, figure 3 ; Rem: p1 is 3, hard coded
	326	zfri = MAX( zri , 0. )
[1537]	327	zfri = MIN( zfri / rn_riinfty , 1.0 )
[255]	328	zfri = ( 1.0 - zfri * zfri )
	329	zfri = zfri * zfri * zfri
	330	! add shear contribution to mixing coef.
[1537]	331	avmu(ji,jj,jk) = avmu(ji,jj,jk) + rn_difri * zfri
	332	avt (ji,jj,jk) = avt (ji,jj,jk) + rn_difri * zfri
[255]	333	ENDIF
[4990]	334	!
[255]	335	#if defined key_zdfddm
[4990]	336	!
[255]	337	! Double diffusion mixing ; NOT IN ROUTINE ZDFDDM.F90
[4990]	338	! -------------------------
	339	avs (ji,jj,jk) = avt (ji,jj,jk)
	340
	341	! R=zrau = (alpha / beta) (dk[t] / dk[s])
	342	zrw = ( fsdepw(ji,jj,jk ) - fsdept(ji,jj,jk) ) &
	343	& / ( fsdept(ji,jj,jk-1) - fsdept(ji,jj,jk) )
	344	!
	345	zaw = ( rab_n(ji,jj,jk,jp_tem) * (1. - zrw) + rab_n(ji,jj,jk-1,jp_tem) * zrw ) * tmask(ji,jj,jk)
	346	zbw = ( rab_n(ji,jj,jk,jp_sal) * (1. - zrw) + rab_n(ji,jj,jk-1,jp_sal) * zrw ) * tmask(ji,jj,jk)
	347	!
	348	zdt = zaw * ( tsn(ji,jj,jk-1,jp_tem) - tsn(ji,jj,jk,jp_tem) )
	349	zds = zbw * ( tsn(ji,jj,jk-1,jp_sal) - tsn(ji,jj,jk,jp_sal) )
	350	IF( ABS( zds) <= 1.e-20_wp ) zds = 1.e-20_wp
	351	zrrau = MAX( epsln , zdt / zds ) ! only retains positive value of zrau
	352	!
	353	IF( zrrau > 1. .AND. zds > 0.) THEN ! Salt fingering case.
	354	! !---------------------
	355	! Compute interior diffusivity for double diffusive mixing of salinity.
	356	! Upper bound "zrrau" by "Rrho0"; (Rrho0=1.9, difcoefnuf=0.001).
	357	! After that set interior diffusivity for double diffusive mixing of temperature
[255]	358	zavdds = MIN( zrrau, Rrho0 )
	359	zavdds = ( zavdds - 1.0 ) / ( Rrho0 - 1.0 )
	360	zavdds = 1.0 - zavdds * zavdds
	361	zavdds = zavdds * zavdds * zavdds
	362	zavdds = difssf * zavdds
	363	zavddt = 0.7 * zavdds
	364	!
[4990]	365	ELSEIF( zrrau < 1. .AND. zrrau > 0. .AND. zds < 0.) THEN ! Diffusive convection case.
	366	! !---------------------------
	367	! Compute interior diffusivity for double diffusive mixing of temperature (Marmorino and Caldwell, 1976);
[255]	368	! Compute interior diffusivity for double diffusive mixing of salinity
	369	zinr = 1. / zrrau
	370	zavddt = 0.909 * EXP( 4.6 * EXP( -0.54* ( zinr - 1. ) ) )
	371	zavddt = difsdc * zavddt
[4990]	372	IF( zrrau < 0.5) THEN ; zavdds = zavddt * 0.15 * zrrau
	373	ELSE ; zavdds = zavddt * (1.85 * zrrau - 0.85 )
[255]	374	ENDIF
	375	ELSE
	376	zavddt = 0.
	377	zavdds = 0.
	378	ENDIF
	379	! Add double diffusion contribution to temperature and salinity mixing coefficients.
	380	avt (ji,jj,jk) = avt (ji,jj,jk) + zavddt
	381	avs (ji,jj,jk) = avs (ji,jj,jk) + zavdds
	382	#endif
	383	END DO
	384	END DO
	385	END DO
	386
	387
	388	! Radiative (zBosol) and non radiative (zBo) surface buoyancy
	389	!JMM at the time zdfkpp is called, q still holds the sum q + qsr
	390	!---------------------------------------------------------------------
	391	DO jj = 2, jpjm1
[4990]	392	DO ji = fs_2, fs_jpim1
	393	zrhos = rau0 * ( 1._wp + rhd(ji,jj,1) ) * tmask(ji,jj,1)
	394	zthermal = rab_n(ji,jj,1,jp_tem) / ( rcp * zrhos + epsln )
	395	zbeta = rab_n(ji,jj,1,jp_sal)
	396	zhalin = zbeta * tsn(ji,jj,1,jp_sal) * rcs
	397	!
[255]	398	! Radiative surface buoyancy force
	399	zBosol(ji,jj) = grav * zthermal * qsr(ji,jj)
	400	! Non radiative surface buoyancy force
[3625]	401	zBo (ji,jj) = grav * zthermal * qns(ji,jj) - grav * zhalin * ( emp(ji,jj)-rnf(ji,jj) ) &
[3792]	402	& - grav * zbeta * rcs * sfx(ji,jj)
[255]	403	! Surface Temperature flux for non-local term
[3625]	404	wt0(ji,jj) = - ( qsr(ji,jj) + qns(ji,jj) )* r1_rau0_rcp * tmask(ji,jj,1)
[255]	405	! Surface salinity flux for non-local term
[3625]	406	ws0(ji,jj) = - ( ( emp(ji,jj)-rnf(ji,jj) ) * tsn(ji,jj,1,jp_sal) &
	407	& + sfx(ji,jj) ) * rcs * tmask(ji,jj,1)
[4990]	408	END DO
	409	END DO
[255]	410
[1601]	411	zflageos = 0.5 + SIGN( 0.5, nn_eos - 1. )
[255]	412	! Compute surface buoyancy forcing, Monin Obukhov and Ekman depths
	413	!------------------------------------------------------------------
	414	DO jj = 2, jpjm1
	415	DO ji = fs_2, fs_jpim1
	416	! Reference surface density = density at first T point level
	417	zrhos = rhop(ji,jj,1) + zflageos * rau0 * ( 1. - tmask(ji,jj,1) )
	418	! Friction velocity (zustar), at T-point : LMD94 eq. 2
[1695]	419	zustar(ji,jj) = SQRT( taum(ji,jj) / ( zrhos + epsln ) )
[4990]	420	END DO
	421	END DO
[255]	422
	423	!CDIR NOVERRCHK
	424	! ! ===============
	425	DO jj = 2, jpjm1 ! Vertical slab
	426	! ! ===============
	427
	428	!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
	429	! II Compute Boundary layer mixing coef. and diagnose the new boundary layer depth
	430	!<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	431
	432	! Initialization
	433	jkmax = 0
	434	zdept (:,:) = 0.
	435	zdepw (:,:) = 0.
	436	zriblk(:,:) = 0.
	437	zmoek (:,:) = 0.
	438	zvisc (:,:) = 0.
	439	zdift (:,:) = 0.
	440	#if defined key_zdfddm
	441	zdifs (:,:) = 0.
	442	#endif
	443	zmask (:,:) = 0.
	444	DO ji = fs_2, fs_jpim1
	445	zria(ji ) = 0.
	446	! Maximum boundary layer depth
[2528]	447	ikbot = mbkt(ji,jj) ! ikbot is the last T point in the water
[255]	448	zhmax(ji) = fsdept(ji,jj,ikbot) - 0.001
	449	! Compute Monin obukhov length scale at the surface and Ekman depth:
	450	zbuofdep = zBo(ji,jj) + zBosol(ji,jj) * ratt(1)
	451	zekman(ji) = rcekman * zustar(ji,jj) / ( ABS( ff(ji,jj) ) + epsln )
	452	zucube = zustar(ji,jj) * zustar(ji,jj) * zustar(ji,jj)
	453	zmoa(ji) = zucube / ( vonk * ( zbuofdep + epsln ) )
[899]	454	#if defined key_c1d
[255]	455	! store the surface buoyancy forcing
	456	zstabl = 0.5 + SIGN( 0.5, zbuofdep )
	457	buof(ji,jj,1) = zbuofdep * tmask(ji,jj,1)
	458	! store the moning-oboukov length scale at surface
	459	zmob = zstabl * zmoa(ji) + ( 1.0 - zstabl ) * fsdept(ji,jj,1)
	460	mols(ji,jj,1) = MIN( zmob , zhmax(ji) ) * tmask(ji,jj,1)
	461	! store Ekman depth
	462	zek = zstabl * zekman(ji) + ( 1.0 - zstabl ) * fsdept(ji,jj,1)
	463	ekdp(ji,jj ) = MIN( zek , zhmax(ji) ) * tmask(ji,jj,1)
	464	#endif
	465	END DO
	466	! Compute the pipe
	467	! ---------------------
	468	DO jk = 2, jpkm1
	469	DO ji = fs_2, fs_jpim1
	470	! Compute bfsfc = Bo + radiative contribution down to hbf*depht
	471	zbuofdep = zBo(ji,jj) + zBosol(ji,jj) * ratt(jk)
	472	! Flag (zstabl = 1) if positive forcing
	473	zstabl = 0.5 + SIGN( 0.5, zbuofdep)
	474
	475	! Compute bulk richardson number zrib at depht
	476	!-------------------------------------------------------
	477	! [Br - B(d)] * d zrinum
	478	! Rib(z) = ----------------------- = -------------
	479	! \|Vr - V(d)\|^2 + Vt(d)^2 zdVsq + zVtsq
	480	!
	481	! First compute zt,zs,zu,zv = means in the surface layer < epsilon*depht
	482	! Else surface values are taken at the first T level.
	483	! For stability, resolved vertical shear is computed with "before velocities".
	484	zref = epsilon * fsdept(ji,jj,jk)
	485	#if defined key_kppcustom
	486	! zref = gdept(1)
	487	zref = fsdept(ji,jj,1)
[3294]	488	zt = tsn(ji,jj,1,jp_tem)
	489	zs = tsn(ji,jj,1,jp_sal)
[255]	490	zrh = rhop(ji,jj,1)
	491	zu = ( ub(ji,jj,1) + ub(ji - 1,jj ,1) ) / MAX( 1. , umask(ji,jj,1) + umask(ji - 1,jj ,1) )
	492	zv = ( vb(ji,jj,1) + vb(ji ,jj - 1,1) ) / MAX( 1. , vmask(ji,jj,1) + vmask(ji ,jj - 1,1) )
	493	#else
	494	zt = 0.
	495	zs = 0.
	496	zu = 0.
	497	zv = 0.
	498	zrh = 0.
	499	! vertically integration over the upper epsilon*gdept(jk) ; del () array is computed once in zdf_kpp_init
	500	DO jm = 1, jpkm1
[3294]	501	zt = zt + del(jk,jm) * tsn(ji,jj,jm,jp_tem)
	502	zs = zs + del(jk,jm) * tsn(ji,jj,jm,jp_sal)
[255]	503	zu = zu + 0.5 * del(jk,jm) &
	504	& * ( ub(ji,jj,jm) + ub(ji - 1,jj,jm) ) &
	505	& / MAX( 1. , umask(ji,jj,jm) + umask(ji - 1,jj,jm) )
	506	zv = zv + 0.5 * del(jk,jm) &
	507	& * ( vb(ji,jj,jm) + vb(ji,jj - 1,jm) ) &
	508	& / MAX( 1. , vmask(ji,jj,jm) + vmask(ji,jj - 1,jm) )
	509	zrh = zrh + del(jk,jm) * rhop(ji,jj,jm)
	510	END DO
	511	#endif
[3294]	512	zsr = SQRT( ABS( tsn(ji,jj,jk,jp_sal) ) )
[255]	513	! depth
	514	zh = fsdept(ji,jj,jk)
	515	! compute compression terms on density
	516	ze = ( -3.508914e-8zt-1.248266e-8 ) zt-2.595994e-6
	517	zbw = ( 1.296821e-6zt-5.782165e-9 ) zt+1.045941e-4
	518	zb = zbw + ze * zs
	519
	520	zd = -2.042967e-2
	521	zc = (-7.267926e-5zt+2.598241e-3 ) zt+0.1571896
	522	zaw = ( ( 5.939910e-6zt+2.512549e-3 ) zt-0.1028859 ) *zt - 4.721788
	523	za = ( zdzsr + zc ) zs + zaw
	524
	525	zb1 = (-0.1909078zt+7.390729 ) zt-55.87545
	526	za1 = ( ( 2.326469e-3zt+1.553190)zt-65.00517 ) *zt+1044.077
	527	zkw = ( ( (-1.361629e-4zt-1.852732e-2 ) zt-30.41638 ) zt + 2098.925 ) zt+190925.6
	528	zk0 = ( zb1zsr + za1 )zs + zkw
	529	zcomp = 1.0 - zh / ( zk0 - zh * ( za - zh * zb ) )
	530
	531	#if defined key_kppcustom
	532	! potential density of water(zrh = zt,zs at level jk):
	533	zrhdr = zrh / zcomp
	534	#else
	535	! potential density of water(ztref,zsref at level jk):
	536	! compute volumic mass pure water at atm pressure
[1601]	537	IF ( nn_eos < 1 ) THEN
[255]	538	zr1= ( ( ( ( 6.536332e-9zt-1.120083e-6 )zt+1.001685e-4)*zt &
	539	& -9.095290e-3 )zt+6.793952e-2 )zt+999.842594
	540	! seawater volumic mass atm pressure
	541	zr2= ( ( ( 5.3875e-9zt-8.2467e-7 ) zt+7.6438e-5 ) *zt &
	542	& -4.0899e-3 ) *zt+0.824493
	543	zr3= ( -1.6546e-6zt+1.0227e-4 ) zt-5.72466e-3
	544	zr4= 4.8314e-4
	545	! potential volumic mass (reference to the surface)
	546	zrhop= ( zr4zs + zr3zsr + zr2 ) *zs + zr1
	547	zrhdr = zrhop / zcomp
	548	ELSE
	549	zrhdr = zrh / zcomp
	550	ENDIF
	551	#endif
	552
	553	! potential density of ambiant water at level jk :
	554	zrhd = ( rhd(ji,jj,jk) * rau0 + rau0 )
	555
	556	! And now the Rib number numerator .
	557	zrinum = grav * ( zrhd - zrhdr ) / rau0
	558	zrinum = zrinum * ( fsdept(ji,jj,jk) - zref ) * tmask(ji,jj,jk)
	559
	560	! Resolved shear contribution to Rib at depth T-point (zdVsq)
	561	ztx = ( ub( ji , jj ,jk) + ub(ji - 1, jj ,jk) ) &
	562	& / MAX( 1. , umask( ji , jj ,jk) + umask(ji - 1, jj ,jk) )
	563	zty = ( vb( ji , jj ,jk) + vb(ji ,jj - 1,jk) ) &
	564	& / MAX( 1., vmask( ji , jj ,jk) + vmask(ji ,jj - 1,jk) )
	565
	566	zdVsq = ( zu - ztx ) * ( zu - ztx ) + ( zv - zty ) * ( zv - zty )
	567
	568	! Scalar turbulent velocity scale zws for hbl=gdept
	569	zscale = zstabl + ( 1.0 - zstabl ) * epsilon
	570	zehat = vonk * zscale * fsdept(ji,jj,jk) * zbuofdep
	571	zucube = zustar(ji,jj) * zustar(ji,jj) * zustar(ji,jj)
	572	zeta = zehat / ( zucube + epsln )
	573
	574	IF( zehat > 0. ) THEN
	575	! Stable case
	576	zws = vonk * zustar(ji,jj) / ( 1.0 + rconc1 * zeta )
	577	ELSE
	578	! Unstable case
	579	#if defined key_kpplktb
	580	! use lookup table
	581	zd = zehat - dehatmin
	582	il = INT( zd / dezehat )
	583	il = MIN( il, nilktbm1 )
	584	il = MAX( il, 1 )
	585
	586	ud = zustar(ji,jj) - ustmin
	587	jl = INT( ud / deustar )
	588	jl = MIN( jl, njlktbm1 )
	589	jl = MAX( jl, 1 )
	590
	591	zfrac = zd / dezehat - FLOAT( il )
	592	ufrac = ud / deustar - FLOAT( jl )
	593	zwas = ( 1. - zfrac ) * wslktb(il,jl+1) + zfrac * wslktb(il+1,jl+1)
	594	zwbs = ( 1. - zfrac ) * wslktb(il,jl ) + zfrac * wslktb(il+1,jl )
	595	!
	596	zws = ( 1. - ufrac ) * zwbs + ufrac * zwas
	597	#else
	598	! use analytical functions:
	599	zcons = 0.5 + SIGN( 0.5 , ( rzetas - zeta ) )
	600	zwcons = vonk * zustar(ji,jj) * ( ( ABS( rconas - rconcs * zeta ) )**pthird )
	601	zwsun = vonk * zustar(ji,jj) * SQRT( ABS ( 1.0 - rconc2 * zeta ) )
	602	!
	603	zws = zcons * zwcons + ( 1.0 - zcons) * zwsun
	604	#endif
	605	ENDIF
	606
	607	! Turbulent shear contribution to Rib (zVtsq) bv frequency at levels ( ie T-point jk)
	608	zrn2 = 0.5 * ( rn2(ji,jj,jk) + rn2(ji,jj,jk+1) )
	609	zbvzed = SQRT( ABS( zrn2 ) )
	610	zVtsq = fsdept(ji,jj,jk) * zws * zbvzed * Vtc
	611
	612	! Finally, the bulk Richardson number at depth fsdept(i,j,k)
	613	zrib = zrinum / ( zdVsq + zVtsq + epsln )
	614
	615	! Find subscripts around the boundary layer depth, build the pipe
	616	! ----------------------------------------------------------------
	617
	618	! Flag (zflagri = 1) if zrib < Ricr
	619	zflagri = 0.5 + SIGN( 0.5, ( Ricr - zrib ) )
	620	! Flag (zflagh = 1) if still within overall boundary layer
	621	zflagh = 0.5 + SIGN( 0.5, ( fsdept(ji,jj,1) - zdept(ji,2) ) )
	622
	623	! Ekman layer depth
	624	zek = zstabl * zekman(ji) + ( 1.0 - zstabl ) * zhmax(ji)
	625	zflag = 0.5 + SIGN( 0.5, ( zek - fsdept(ji,jj,jk-1) ) )
	626	zek = zflag * zek + ( 1.0 - zflag ) * zhmax(ji)
	627	zflagek = 0.5 + SIGN( 0.5, ( zek - fsdept(ji,jj,jk) ) )
	628	! Flag (zflagmo = 1) if still within stable Monin-Obukhov and in water
	629	zmob = zucube / ( vonk * ( zbuofdep + epsln ) )
	630	ztemp = zstabl * zmob + ( 1.0 - zstabl) * zhmax(ji)
	631	ztemp = MIN( ztemp , zhmax(ji) )
	632	zflagmo = 0.5 + SIGN( 0.5, ( ztemp - fsdept(ji,jj,jk) ) )
	633
	634	! No limitation by Monin Obukhov or Ekman depths:
	635	! zflagek = 1.0
	636	! zflagmo = 0.5 + SIGN( 0.5, ( zhmax(ji) - fsdept(ji,jj,jk) ) )
	637
	638	! Load pipe via zflagkb for later calculations
	639	! Flag (zflagkb = 1) if zflagh = 1 and (zflagri = 0 or zflagek = 0 or zflagmo = 0)
	640	zflagkb = zflagh * ( 1.0 - ( zflagri * zflagek * zflagmo ) )
	641
	642	zmask(ji,jk) = zflagh
	643	jkp2 = MIN( jk+2 , ikbot )
	644	jkm1 = MAX( jk-1 , 2 )
	645	jkmax = MAX( jkmax, jk * INT( REAL( zflagh+epsln ) ) )
	646
	647	zdept(ji,1) = zdept(ji,1) + zflagkb * fsdept(ji,jj,jk-1)
	648	zdept(ji,2) = zdept(ji,2) + zflagkb * fsdept(ji,jj,jk )
	649	zdept(ji,3) = zdept(ji,3) + zflagkb * fsdept(ji,jj,jk+1)
	650
	651	zdepw(ji,1) = zdepw(ji,1) + zflagkb * fsdepw(ji,jj,jk-1)
	652	zdepw(ji,2) = zdepw(ji,2) + zflagkb * fsdepw(ji,jj,jk )
	653	zdepw(ji,3) = zdepw(ji,3) + zflagkb * fsdepw(ji,jj,jk+1)
	654	zdepw(ji,4) = zdepw(ji,4) + zflagkb * fsdepw(ji,jj,jkp2)
	655
	656	zriblk(ji,1) = zriblk(ji,1) + zflagkb * zria(ji)
	657	zriblk(ji,2) = zriblk(ji,2) + zflagkb * zrib
	658
	659	zmoek (ji,0) = zmoek (ji,0) + zflagkb * zek
	660	zmoek (ji,1) = zmoek (ji,1) + zflagkb * zmoa(ji)
	661	zmoek (ji,2) = zmoek (ji,2) + zflagkb * ztemp
	662	! Save Monin Obukhov depth
	663	zmoa (ji) = zmob
	664
	665	zvisc(ji,1) = zvisc(ji,1) + zflagkb * avmu(ji,jj,jkm1)
	666	zvisc(ji,2) = zvisc(ji,2) + zflagkb * avmu(ji,jj,jk )
	667	zvisc(ji,3) = zvisc(ji,3) + zflagkb * avmu(ji,jj,jk+1)
	668	zvisc(ji,4) = zvisc(ji,4) + zflagkb * avmu(ji,jj,jkp2)
	669
	670	zdift(ji,1) = zdift(ji,1) + zflagkb * avt (ji,jj,jkm1)
	671	zdift(ji,2) = zdift(ji,2) + zflagkb * avt (ji,jj,jk )
	672	zdift(ji,3) = zdift(ji,3) + zflagkb * avt (ji,jj,jk+1)
	673	zdift(ji,4) = zdift(ji,4) + zflagkb * avt (ji,jj,jkp2)
	674
	675	#if defined key_zdfddm
	676	zdifs(ji,1) = zdifs(ji,1) + zflagkb * avs (ji,jj,jkm1)
	677	zdifs(ji,2) = zdifs(ji,2) + zflagkb * avs (ji,jj,jk )
	678	zdifs(ji,3) = zdifs(ji,3) + zflagkb * avs (ji,jj,jk+1)
	679	zdifs(ji,4) = zdifs(ji,4) + zflagkb * avs (ji,jj,jkp2)
	680	#endif
	681	! Save the Richardson number
	682	zria (ji) = zrib
[899]	683	#if defined key_c1d
[255]	684	! store buoyancy length scale
	685	buof(ji,jj,jk) = zbuofdep * tmask(ji,jj,jk)
	686	! store Monin Obukhov
	687	zmob = zstabl * zmob + ( 1.0 - zstabl) * fsdept(ji,jj,1)
	688	mols(ji,jj,jk) = MIN( zmob , zhmax(ji) ) * tmask(ji,jj,jk)
	689	! Bulk Richardson number
	690	rib(ji,jj,jk) = zrib * tmask(ji,jj,jk)
	691	#endif
	692	END DO
	693	END DO
	694	!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
	695	! III PROCESS THE PIPE
	696	!<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	697
	698	DO ji = fs_2, fs_jpim1
	699
	700	! Find the boundary layer depth zhbl
	701	! ----------------------------------------
	702
	703	! Interpolate monin Obukhov and critical Ri mumber depths
	704	ztemp = zdept(ji,2) - zdept(ji,1)
	705	zflag = ( Ricr - zriblk(ji,1) ) / ( zriblk(ji,2) - zriblk(ji,1) + epsln )
	706	zhrib = zdept(ji,1) + zflag * ztemp
	707
	708	IF( zriblk(ji,2) < Ricr ) zhrib = zhmax(ji)
	709
	710	IF( zmoek(ji,2) < zdept(ji,2) ) THEN
	711	IF ( zmoek(ji,1) < 0. ) THEN
	712	zmob = zdept(ji,2) - epsln
	713	ELSE
	714	zmob = ztemp + zmoek(ji,1) - zmoek(ji,2)
	715	zmob = ( zmoek(ji,1) * zdept(ji,2) - zmoek(ji,2) * zdept(ji,1) ) / zmob
	716	zmob = MAX( zmob , zdept(ji,1) + epsln )
	717	ENDIF
	718	ELSE
	719	zmob = zhmax(ji)
	720	ENDIF
	721	ztemp = MIN( zmob , zmoek(ji,0) )
	722
	723	! Finally, the boundary layer depth, zhbl
	724	zhbl(ji) = MAX( fsdept(ji,jj,1) + epsln, MIN( zhrib , ztemp ) )
	725
	726	! Save hkpp for further diagnostics (optional)
	727	hkpp(ji,jj) = zhbl(ji) * tmask(ji,jj,1)
	728
	729	! Correct mask if zhbl < fsdepw(ji,jj,2) for no viscosity/diffusivity enhancement at fsdepw(ji,jj,2)
	730	! zflag = 1 if zhbl(ji) > fsdepw(ji,jj,2)
	731	IF( zhbl(ji) < fsdepw(ji,jj,2) ) zmask(ji,2) = 0.
	732
	733
	734	! Velocity scales at depth zhbl
	735	! -----------------------------------
	736
	737	! Compute bouyancy forcing down to zhbl
	738	ztemp = -hbf * zhbl(ji)
	739	zatt1 = 1.0 - ( rabs * EXP( ztemp / xsi1 ) + ( 1.0 - rabs ) * EXP( ztemp / xsi2 ) )
	740	zbuofdep = zBo(ji,jj) + zBosol(ji,jj) * zatt1
	741	zstabl = 0.5 + SIGN( 0.5 , zbuofdep )
	742
	743	zbuofdep = zbuofdep + zstabl * epsln
	744
	745	zscale = zstabl + ( 1.0 - zstabl ) * epsilon
	746	zehat = vonk * zscale * zhbl(ji) * zbuofdep
	747	zucube = zustar(ji,jj) * zustar(ji,jj) * zustar(ji,jj)
	748	zeta = zehat / ( zucube + epsln )
	749
	750	IF( zehat > 0. ) THEN
	751	! Stable case
	752	zws = vonk * zustar(ji,jj) / ( 1.0 + rconc1 * zeta )
	753	zwm = zws
	754	ELSE
	755	! Unstable case
	756	#if defined key_kpplktb
	757	! use lookup table
	758	zd = zehat - dehatmin
	759	il = INT( zd / dezehat )
	760	il = MIN( il, nilktbm1 )
	761	il = MAX( il, 1 )
	762
	763	ud = zustar(ji,jj) - ustmin
	764	jl = INT( ud / deustar )
	765	jl = MIN( jl, njlktbm1 )
	766	jl = MAX( jl, 1 )
	767
	768	zfrac = zd / dezehat - FLOAT( il )
	769	ufrac = ud / deustar - FLOAT( jl )
	770	zwas = ( 1. - zfrac ) * wslktb(il,jl+1) + zfrac * wslktb(il+1,jl+1)
	771	zwbs = ( 1. - zfrac ) * wslktb(il,jl ) + zfrac * wslktb(il+1,jl )
	772	zwam = ( 1. - zfrac ) * wmlktb(il,jl+1) + zfrac * wmlktb(il+1,jl+1)
	773	zwbm = ( 1. - zfrac ) * wmlktb(il,jl ) + zfrac * wmlktb(il+1,jl )
	774	!
	775	zws = ( 1. - ufrac ) * zwbs + ufrac * zwas
	776	zwm = ( 1. - ufrac ) * zwbm + ufrac * zwam
	777	#else
	778	! use analytical functions
	779	zconm = 0.5 + SIGN( 0.5, ( rzetam - zeta) )
	780	zcons = 0.5 + SIGN( 0.5, ( rzetas - zeta) )
	781
	782	! Momentum : zeta < rzetam (zconm = 1)
	783	! Scalars : zeta < rzetas (zcons = 1)
	784	zwconm = zustar(ji,jj) * vonk * ( ( ABS( rconam - rconcm * zeta) )**pthird )
	785	zwcons = zustar(ji,jj) * vonk * ( ( ABS( rconas - rconcs * zeta) )**pthird )
	786
	787	! Momentum : rzetam <= zeta < 0 (zconm = 0)
	788	! Scalars : rzetas <= zeta < 0 (zcons = 0)
	789	zwmun = SQRT( ABS( 1.0 - rconc2 * zeta ) )
	790	zwsun = vonk * zustar(ji,jj) * zwmun
	791	zwmun = vonk * zustar(ji,jj) * SQRT(zwmun)
	792	!
	793	zwm = zconm * zwconm + ( 1.0 - zconm ) * zwmun
	794	zws = zcons * zwcons + ( 1.0 - zcons ) * zwsun
	795
	796	#endif
	797	ENDIF
	798
	799
	800	! Viscosity, diffusivity values and derivatives at h
	801	! --------------------------------------------------------
	802
	803	! check between at which interfaces is located zhbl(ji)
	804	! ztemp = 1, zdepw(ji,2) < zhbl < zdepw(ji,3)
	805	! ztemp = 0, zdepw(ji,1) < zhbl < zdepw(ji,2)
	806	ztemp = 0.5 + SIGN( 0.5, ( zhbl(ji) - zdepw(ji,2) ) )
	807	zdep21 = zdepw(ji,2) - zdepw(ji,1) + epsln
	808	zdep32 = zdepw(ji,3) - zdepw(ji,2) + epsln
	809	zdep43 = zdepw(ji,4) - zdepw(ji,3) + epsln
	810
	811	! Compute R as in LMD94, eq D5b
	812	zdelta = ( zhbl(ji) - zdepw(ji,2) ) * ztemp / zdep32 &
	813	& + ( zhbl(ji) - zdepw(ji,1) ) * ( 1.0 - ztemp ) / zdep21
	814
	815	! Compute the vertical derivative of viscosities (zdzh) at z=zhbl(ji)
	816	zdzup = ( zvisc(ji,2) - zvisc(ji,3) ) * ztemp / zdep32 &
	817	& + ( zvisc(ji,1) - zvisc(ji,2) ) * ( 1.0 - ztemp ) / zdep21
	818
	819	zdzdn = ( zvisc(ji,3) - zvisc(ji,4) ) * ztemp / zdep43 &
	820	& + ( zvisc(ji,2) - zvisc(ji,3) ) * ( 1.0 - ztemp ) / zdep32
	821
	822	! LMD94, eq D5b :
	823	zdzh = ( 1.0 - zdelta ) * zdzup + zdelta * zdzdn
	824	zdzh = MAX( zdzh , 0. )
	825
	826	! Compute viscosities (zvath) at z=zhbl(ji), LMD94 eq D5a
	827	zvath = ztemp * ( zvisc(ji,3) + zdzh * ( zdepw(ji,3) - zhbl(ji) ) ) &
	828	& + ( 1.0 - ztemp ) * ( zvisc(ji,2) + zdzh * ( zdepw(ji,2) - zhbl(ji) ) )
	829
	830	! Compute G (zgat1) and its derivative (zdat1) at z=hbl(ji), LMD94 eq 18
	831
	832	! Vertical derivative of velocity scale divided by velocity scale squared at z=hbl(ji)
	833	! (non zero only in stable conditions)
	834	zflag = -zstabl * rconc1 * zbuofdep / ( zucube * zustar(ji,jj) + epsln )
	835
	836	! G at its derivative at z=hbl:
	837	zgat1 = zvath / ( zhbl(ji) * ( zwm + epsln ) )
	838	zdat1 = -zdzh / ( zwm + epsln ) - zflag * zvath / zhbl(ji)
	839
	840	! G coefficients, LMD94 eq 17
	841	za2m(ji) = -2.0 + 3.0 * zgat1 - zdat1
	842	za3m(ji) = 1.0 - 2.0 * zgat1 + zdat1
	843
	844
	845	! Compute the vertical derivative of temperature diffusivities (zdzh) at z=zhbl(ji)
	846	zdzup = ( zdift(ji,2) - zdift(ji,3) ) * ztemp / zdep32 &
	847	& + ( zdift(ji,1) - zdift(ji,2) ) * ( 1.0 - ztemp ) / zdep21
	848
	849	zdzdn = ( zdift(ji,3) - zdift(ji,4) ) * ztemp / zdep43 &
	850	& + ( zdift(ji,2) - zdift(ji,3) ) * ( 1.0 - ztemp ) / zdep32
	851
	852	! LMD94, eq D5b :
	853	zdzh = ( 1.0 - zdelta ) * zdzup + zdelta * zdzdn
	854	zdzh = MAX( zdzh , 0. )
	855
	856
	857	! Compute diffusivities (zvath) at z=zhbl(ji), LMD94 eq D5a
	858	zvath = ztemp * ( zdift(ji,3) + zdzh * ( zdepw(ji,3) - zhbl(ji) ) ) &
	859	& + ( 1.0 - ztemp ) * ( zdift(ji,2) + zdzh * ( zdepw(ji,2) - zhbl(ji) ) )
	860
	861	! G at its derivative at z=hbl:
	862	zgat1 = zvath / ( zhbl(ji) * ( zws + epsln ) )
	863	zdat1 = -zdzh / ( zws + epsln ) - zflag * zvath / zhbl(ji)
	864
	865	! G coefficients, LMD94 eq 17
	866	za2t(ji) = -2.0 + 3.0 * zgat1 - zdat1
	867	za3t(ji) = 1.0 - 2.0 * zgat1 + zdat1
	868
	869	#if defined key_zdfddm
	870	! Compute the vertical derivative of salinities diffusivities (zdzh) at z=zhbl(ji)
	871	zdzup = ( zdifs(ji,2) - zdifs(ji,3) ) * ztemp / zdep32 &
	872	& + ( zdifs(ji,1) - zdifs(ji,2) ) * ( 1.0 - ztemp ) / zdep21
	873
	874	zdzdn = ( zdifs(ji,3) - zdifs(ji,4) ) * ztemp / zdep43 &
	875	& + ( zdifs(ji,2) - zdifs(ji,3) ) * ( 1.0 - ztemp ) / zdep32
	876
	877	! LMD94, eq D5b :
	878	zdzh = ( 1.0 - zdelta ) * zdzup + zdelta * zdzdn
	879	zdzh = MAX( zdzh , 0. )
	880
	881	! Compute diffusivities (zvath) at z=zhbl(ji), LMD94 eq D5a
	882	zvath = ztemp * ( zdifs(ji,3) + zdzh * ( zdepw(ji,3) - zhbl(ji) ) ) &
	883	& + ( 1.0 - ztemp ) * ( zdifs(ji,2) + zdzh * ( zdepw(ji,2) - zhbl(ji) ) )
	884
	885	! G at its derivative at z=hbl:
	886	zgat1 = zvath / ( zhbl(ji) * ( zws + epsln ) )
	887	zdat1 = -zdzh / ( zws + epsln ) - zflag * zvath / zhbl(ji)
	888
	889	! G coefficients, LMD94 eq 17
	890	za2s(ji) = -2.0 + 3.0 * zgat1 - zdat1
	891	za3s(ji) = 1.0 - 2.0 * zgat1 + zdat1
	892	#endif
	893
	894	!-------------------turn off interior matching here------
	895	! za2(ji,1) = -2.0
	896	! za3(ji,1) = 1.0
	897	! za2(ji,2) = -2.0
	898	! za3(ji,2) = 1.0
	899	!--------------------------------------------------------
	900
	901	! Compute Enhanced Mixing Coefficients (LMD94,eq D6)
	902	! ---------------------------------------------------------------
	903
	904	! Delta
	905	zdelta = ( zhbl(ji) - zdept(ji,1) ) / ( zdept(ji,2) - zdept(ji,1) + epsln )
	906	zdelta2 = zdelta * zdelta
	907
	908	! Mixing coefficients at first level above h (zdept(ji,1))
	909	! and at first interface in the pipe (zdepw(ji,2))
	910
	911	! At first T level above h (zdept(ji,1)) (always in the boundary layer)
	912	zsig = zdept(ji,1) / zhbl(ji)
	913	ztemp = zstabl * zsig + ( 1.0 - zstabl ) * MIN( zsig , epsilon )
	914	zehat = vonk * ztemp * zhbl(ji) * zbuofdep
	915	zeta = zehat / ( zucube + epsln)
	916	zwst = vonk * zustar(ji,jj) / ( ABS( 1.0 + rconc1 * zeta ) + epsln)
	917	zwm = zstabl * zwst + ( 1.0 - zstabl ) * zwm
	918	zws = zstabl * zwst + ( 1.0 - zstabl ) * zws
	919
	920	zkm1m = zhbl(ji) * zwm * zsig * ( 1.0 + zsig * ( za2m(ji) + zsig * za3m(ji) ) )
	921	zkm1t = zhbl(ji) * zws * zsig * ( 1.0 + zsig * ( za2t(ji) + zsig * za3t(ji) ) )
	922	#if defined key_zdfddm
	923	zkm1s = zhbl(ji) * zws * zsig * ( 1.0 + zsig * ( za2s(ji) + zsig * za3s(ji) ) )
	924	#endif
	925	! At first W level in the pipe (zdepw(ji,2)) (not always in the boundary layer ):
	926	zsig = MIN( zdepw(ji,2) / zhbl(ji) , 1.0 )
	927	ztemp = zstabl * zsig + ( 1.0 - zstabl ) * MIN( zsig , epsilon )
	928	zehat = vonk * ztemp * zhbl(ji) * zbuofdep
	929	zeta = zehat / ( zucube + epsln )
	930	zwst = vonk * zustar(ji,jj) / ( ABS( 1.0 + rconc1 * zeta ) + epsln)
	931	zws = zstabl * zws + ( 1.0 - zstabl ) * zws
	932	zwm = zstabl * zws + ( 1.0 - zstabl ) * zwm
	933
	934	zkmpm(ji) = zhbl(ji) * zwm * zsig * ( 1.0 + zsig * ( za2m(ji) + zsig * za3m(ji) ) )
	935	zkmpt(ji) = zhbl(ji) * zws * zsig * ( 1.0 + zsig * ( za2t(ji) + zsig * za3t(ji) ) )
	936	#if defined key_zdfddm
	937	zkmps(ji) = zhbl(ji) * zws * zsig * ( 1.0 + zsig * ( za2s(ji) + zsig * za3s(ji) ) )
	938	#endif
	939
	940	! check if this point is in the boundary layer,else take interior viscosity/diffusivity:
	941	zflag = 0.5 + SIGN( 0.5, ( zhbl(ji) - zdepw(ji,2) ) )
	942	zkmpm(ji) = zkmpm(ji) * zflag + ( 1.0 - zflag ) * zvisc(ji,2)
	943	zkmpt(ji) = zkmpt(ji) * zflag + ( 1.0 - zflag ) * zdift(ji,2)
	944	#if defined key_zdfddm
	945	zkmps(ji) = zkmps(ji) * zflag + ( 1.0 - zflag ) * zdifs(ji,2)
	946	#endif
	947
	948	! Enhanced viscosity/diffusivity at zdepw(ji,2)
	949	ztemp = ( 1.0 - 2.0 * zdelta + zdelta2 ) * zkm1m + zdelta2 * zkmpm(ji)
	950	zkmpm(ji) = ( 1.0 - zdelta ) * zvisc(ji,2) + zdelta * ztemp
	951	ztemp = ( 1.0 - 2.0 * zdelta + zdelta2 ) * zkm1t + zdelta2 * zkmpt(ji)
	952	zkmpt(ji) = ( 1.0 - zdelta ) * zdift(ji,2) + zdelta * ztemp
	953	#if defined key_zdfddm
	954	ztemp = ( 1.0 - 2.0 * zdelta + zdelta2 ) * zkm1s + zdelta2 * zkmps(ji)
	955	zkmps(ji) = ( 1.0 - zdelta ) * zdifs(ji,2) + zdelta * ztemp
	956	#endif
	957
	958	END DO
	959	!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
	960	! IV. Compute vertical eddy viscosity and diffusivity coefficients
	961	!<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	962
	963	DO jk = 2, jkmax
	964
	965	! Compute turbulent velocity scales on the interfaces
	966	! --------------------------------------------------------
	967	DO ji = fs_2, fs_jpim1
	968	zbuofdep = zBo(ji,jj) + zBosol(ji,jj) * zatt1
	969	zstabl = 0.5 + SIGN( 0.5 , zbuofdep )
	970	zbuofdep = zbuofdep + zstabl * epsln
	971	zsig = fsdepw(ji,jj,jk) / zhbl(ji)
	972	ztemp = zstabl * zsig + ( 1. - zstabl ) * MIN( zsig , epsilon )
	973	zehat = vonk * ztemp * zhbl(ji) * zbuofdep
	974	zucube = zustar(ji,jj) * zustar(ji,jj) * zustar(ji,jj)
	975	zeta = zehat / ( zucube + epsln )
	976
	977	IF( zehat > 0. ) THEN
	978	! Stable case
	979	zws = vonk * zustar(ji,jj) / ( 1.0 + rconc1 * zeta )
	980	zwm = zws
	981	ELSE
	982	! Unstable case
	983	#if defined key_kpplktb
	984	! use lookup table
	985	zd = zehat - dehatmin
	986	il = INT( zd / dezehat )
	987	il = MIN( il, nilktbm1 )
	988	il = MAX( il, 1 )
	989
	990	ud = zustar(ji,jj) - ustmin
	991	jl = INT( ud / deustar )
	992	jl = MIN( jl, njlktbm1 )
	993	jl = MAX( jl, 1 )
	994
	995	zfrac = zd / dezehat - FLOAT( il )
	996	ufrac = ud / deustar - FLOAT( jl )
	997	zwas = ( 1. - zfrac ) * wslktb(il,jl+1) + zfrac * wslktb(il+1,jl+1)
	998	zwbs = ( 1. - zfrac ) * wslktb(il,jl ) + zfrac * wslktb(il+1,jl )
	999	zwam = ( 1. - zfrac ) * wmlktb(il,jl+1) + zfrac * wmlktb(il+1,jl+1)
	1000	zwbm = ( 1. - zfrac ) * wmlktb(il,jl ) + zfrac * wmlktb(il+1,jl )
	1001	!
	1002	zws = ( 1. - ufrac ) * zwbs + ufrac * zwas
	1003	zwm = ( 1. - ufrac ) * zwbm + ufrac * zwam
	1004	#else
	1005	! use analytical functions
	1006	zconm = 0.5 + SIGN( 0.5, ( rzetam - zeta) )
	1007	zcons = 0.5 + SIGN( 0.5, ( rzetas - zeta) )
	1008
	1009	! Momentum : zeta < rzetam (zconm = 1)
	1010	! Scalars : zeta < rzetas (zcons = 1)
	1011	zwconm = zustar(ji,jj) * vonk * ( ( ABS( rconam - rconcm * zeta) )**pthird )
	1012	zwcons = zustar(ji,jj) * vonk * ( ( ABS( rconas - rconcs * zeta) )**pthird )
	1013
	1014	! Momentum : rzetam <= zeta < 0 (zconm = 0)
	1015	! Scalars : rzetas <= zeta < 0 (zcons = 0)
	1016	zwmun = SQRT( ABS( 1.0 - rconc2 * zeta ) )
	1017	zwsun = vonk * zustar(ji,jj) * zwmun
	1018	zwmun = vonk * zustar(ji,jj) * SQRT(zwmun)
	1019	!
	1020	zwm = zconm * zwconm + ( 1.0 - zconm ) * zwmun
	1021	zws = zcons * zwcons + ( 1.0 - zcons ) * zwsun
	1022
	1023	#endif
	1024	ENDIF
	1025
	1026	zblcm(ji,jk) = zhbl(ji) * zwm * zsig * ( 1.0 + zsig * ( za2m(ji) + zsig * za3m(ji) ) )
	1027	zblct(ji,jk) = zhbl(ji) * zws * zsig * ( 1.0 + zsig * ( za2t(ji) + zsig * za3t(ji) ) )
	1028	#if defined key_zdfddm
	1029	zblcs(ji,jk) = zhbl(ji) * zws * zsig * ( 1.0 + zsig * ( za2s(ji) + zsig * za3s(ji) ) )
	1030	#endif
	1031	! Compute Nonlocal transport term = ghats * <ws>o
	1032	! ----------------------------------------------------
	1033	ghats(ji,jj,jk-1) = ( 1. - zstabl ) * rcg / ( zws * zhbl(ji) + epsln ) * tmask(ji,jj,jk)
	1034
	1035	END DO
	1036	END DO
	1037	! Combine interior and boundary layer coefficients and nonlocal term
	1038	! -----------------------------------------------------------------------
	1039	DO jk = 2, jpkm1
	1040	DO ji = fs_2, fs_jpim1
	1041	zflag = zmask(ji,jk) * zmask(ji,jk+1)
	1042	zviscos(ji,jj,jk) = ( 1.0 - zmask(ji,jk) ) * avmu (ji,jj,jk) & ! interior viscosities
	1043	& + zflag * zblcm(ji,jk ) & ! boundary layer viscosities
	1044	& + zmask(ji,jk) * ( 1.0 - zflag ) * zkmpm(ji ) ! viscosity enhancement at W_level near zhbl
	1045
	1046	zviscos(ji,jj,jk) = zviscos(ji,jj,jk) * tmask(ji,jj,jk)
	1047
	1048
	1049	zdiffut(ji,jj,jk) = ( 1.0 - zmask(ji,jk) ) * avt (ji,jj,jk) & ! interior diffusivities
	1050	& + zflag * zblct(ji,jk ) & ! boundary layer diffusivities
	1051	& + zmask(ji,jk) * ( 1.0 - zflag ) * zkmpt(ji ) ! diffusivity enhancement at W_level near zhbl
	1052
	1053	zdiffut(ji,jj,jk) = zdiffut(ji,jj,jk) * tmask(ji,jj,jk)
	1054	#if defined key_zdfddm
[3764]	1055	zdiffus(ji,jj,jk) = ( 1.0 - zmask(ji,jk) ) * avs (ji,jj,jk) & ! interior diffusivities
[255]	1056	& + zflag * zblcs(ji,jk ) & ! boundary layer diffusivities
	1057	& + zmask(ji,jk) * ( 1.0 - zflag ) * zkmps(ji ) ! diffusivity enhancement at W_level near zhbl
	1058	zdiffus(ji,jj,jk) = zdiffus(ji,jj,jk) * tmask(ji,jj,jk)
	1059	#endif
	1060	! Non local flux in the boundary layer only
	1061	ghats(ji,jj,jk-1) = zmask(ji,jk) * ghats(ji,jj,jk-1)
	1062
	1063	ENDDO
	1064	END DO
	1065	! ! ===============
	1066	END DO ! End of slab
	1067	! ! ===============
	1068
	1069	! Lateral boundary conditions on zvicos and zdiffus (sign unchanged)
	1070	CALL lbc_lnk( zviscos(:,:,:), 'U', 1. ) ; CALL lbc_lnk( zdiffut(:,:,:), 'W', 1. )
	1071	#if defined key_zdfddm
	1072	CALL lbc_lnk( zdiffus(:,:,:), 'W', 1. )
	1073	#endif
	1074
[1537]	1075	SELECT CASE ( nn_ave )
[255]	1076	!
	1077	CASE ( 0 ) ! no viscosity and diffusivity smoothing
	1078
	1079	DO jk = 2, jpkm1
	1080	DO jj = 2, jpjm1
	1081	DO ji = fs_2, fs_jpim1
	1082	avmu(ji,jj,jk) = ( zviscos(ji,jj,jk) + zviscos(ji+1,jj,jk) ) &
	1083	& / MAX( 1., tmask(ji,jj,jk) + tmask (ji + 1,jj,jk) ) * umask(ji,jj,jk)
	1084
	1085	avmv(ji,jj,jk) = ( zviscos(ji,jj,jk) + zviscos(ji,jj+1,jk) ) &
	1086	& / MAX( 1., tmask(ji,jj,jk) + tmask (ji,jj+1,jk) ) * vmask(ji,jj,jk)
	1087
	1088	avt (ji,jj,jk) = zdiffut(ji,jj,jk) * tmask(ji,jj,jk)
	1089	#if defined key_zdfddm
	1090	avs (ji,jj,jk) = zdiffus(ji,jj,jk) * tmask(ji,jj,jk)
	1091	#endif
	1092	END DO
	1093	END DO
	1094	END DO
	1095
	1096	CASE ( 1 ) ! viscosity and diffusivity smoothing
	1097	!
	1098	! ( 1/2 1 1/2 ) ( 1/2 1/2 ) ( 1/2 1 1/2 )
	1099	! avt = 1/8 ( 1 2 1 ) avmu = 1/4 ( 1 1 ) avmv= 1/4 ( 1/2 1 1/2 )
	1100	! ( 1/2 1 1/2 ) ( 1/2 1/2 )
	1101
	1102	DO jk = 2, jpkm1
	1103	DO jj = 2, jpjm1
	1104	DO ji = fs_2, fs_jpim1
	1105
	1106	avmu(ji,jj,jk) = ( zviscos(ji ,jj ,jk) + zviscos(ji+1,jj ,jk) &
	1107	& +.5*( zviscos(ji ,jj-1,jk) + zviscos(ji+1,jj-1,jk) &
	1108	& +zviscos(ji ,jj+1,jk) + zviscos(ji+1,jj+1,jk) ) ) * eumean(ji,jj,jk)
	1109
	1110	avmv(ji,jj,jk) = ( zviscos(ji ,jj ,jk) + zviscos(ji ,jj+1,jk) &
	1111	& +.5*( zviscos(ji-1,jj ,jk) + zviscos(ji-1,jj+1,jk) &
	1112	& +zviscos(ji+1,jj ,jk) + zviscos(ji+1,jj+1,jk) ) ) * evmean(ji,jj,jk)
	1113
	1114	avt (ji,jj,jk) = ( .5*( zdiffut(ji-1,jj+1,jk) + zdiffut(ji-1,jj-1,jk) &
	1115	& +zdiffut(ji+1,jj+1,jk) + zdiffut(ji+1,jj-1,jk) ) &
	1116	& +1.*( zdiffut(ji-1,jj ,jk) + zdiffut(ji ,jj+1,jk) &
	1117	& +zdiffut(ji ,jj-1,jk) + zdiffut(ji+1,jj ,jk) ) &
	1118	& +2.* zdiffut(ji ,jj ,jk) ) * etmean(ji,jj,jk)
	1119	#if defined key_zdfddm
	1120	avs (ji,jj,jk) = ( .5*( zdiffus(ji-1,jj+1,jk) + zdiffus(ji-1,jj-1,jk) &
	1121	& +zdiffus(ji+1,jj+1,jk) + zdiffus(ji+1,jj-1,jk) ) &
	1122	& +1.*( zdiffus(ji-1,jj ,jk) + zdiffus(ji ,jj+1,jk) &
	1123	& +zdiffus(ji ,jj-1,jk) + zdiffus(ji+1,jj ,jk) ) &
	1124	& +2.* zdiffus(ji ,jj ,jk) ) * etmean(ji,jj,jk)
	1125	#endif
	1126	END DO
	1127	END DO
	1128	END DO
	1129
	1130	END SELECT
	1131
	1132	DO jk = 2, jpkm1 ! vertical slab
	1133	!
	1134	! Minimum value on the eddy diffusivity
	1135	! ----------------------------------------
	1136	DO jj = 2, jpjm1
	1137	DO ji = fs_2, fs_jpim1 ! vector opt.
	1138	avt(ji,jj,jk) = MAX( avt(ji,jj,jk), avtb(jk) ) * tmask(ji,jj,jk)
	1139	#if defined key_zdfddm
	1140	avs(ji,jj,jk) = MAX( avs(ji,jj,jk), avtb(jk) ) * tmask(ji,jj,jk)
	1141	#endif
	1142	END DO
	1143	END DO
	1144
	1145	!
	1146	! Minimum value on the eddy viscosity
	1147	! ----------------------------------------
	1148	DO jj = 1, jpj
	1149	DO ji = 1, jpi
	1150	avmu(ji,jj,jk) = MAX( avmu(ji,jj,jk), avmb(jk) ) * umask(ji,jj,jk)
	1151	avmv(ji,jj,jk) = MAX( avmv(ji,jj,jk), avmb(jk) ) * vmask(ji,jj,jk)
	1152	END DO
	1153	END DO
	1154	!
	1155	END DO
	1156
	1157	! Lateral boundary conditions on avt (sign unchanged)
	1158	CALL lbc_lnk( hkpp(:,:), 'T', 1. )
	1159
	1160	! Lateral boundary conditions on avt (sign unchanged)
	1161	CALL lbc_lnk( avt(:,:,:), 'W', 1. )
	1162	#if defined key_zdfddm
	1163	CALL lbc_lnk( avs(:,:,:), 'W', 1. )
	1164	#endif
	1165	! Lateral boundary conditions (avmu,avmv) (U- and V- points, sign unchanged)
	1166	CALL lbc_lnk( avmu(:,:,:), 'U', 1. ) ; CALL lbc_lnk( avmv(:,:,:), 'V', 1. )
	1167
[258]	1168	IF(ln_ctl) THEN
	1169	#if defined key_zdfddm
[516]	1170	CALL prt_ctl(tab3d_1=avt , clinfo1=' kpp - t: ', tab3d_2=avs , clinfo2=' s: ', ovlap=1, kdim=jpk)
[258]	1171	#else
[516]	1172	CALL prt_ctl(tab3d_1=avt , clinfo1=' kpp - t: ', ovlap=1, kdim=jpk)
[258]	1173	#endif
[516]	1174	CALL prt_ctl(tab3d_1=avmu, clinfo1=' kpp - u: ', mask1=umask, &
	1175	& tab3d_2=avmv, clinfo2= ' v: ', mask2=vmask, ovlap=1, kdim=jpk)
[258]	1176	ENDIF
	1177
[3294]	1178	CALL wrk_dealloc( jpi, zmoa, zekman, zhmax, zria, zhbl )
	1179	CALL wrk_dealloc( jpi, za2m, za3m, zkmpm, za2t, za3t, zkmpt )
	1180	CALL wrk_dealloc( jpi,2, zriblk )
	1181	CALL wrk_dealloc( jpi,3, zmoek, kjstart = 0 )
	1182	CALL wrk_dealloc( jpi,3, zdept )
	1183	CALL wrk_dealloc( jpi,4, zdepw, zdift, zvisc )
	1184	CALL wrk_dealloc( jpi,jpj, zBo, zBosol, zustar )
[3764]	1185	CALL wrk_dealloc( jpi,jpk, zmask, zblcm, zblct )
[3294]	1186	#if defined key_zdfddm
	1187	CALL wrk_dealloc( jpi,4, zdifs )
	1188	CALL wrk_dealloc( jpi, zmoa, za2s, za3s, zkmps )
	1189	CALL wrk_dealloc( jpi,jpk, zblcs )
	1190	CALL wrk_dealloc( jpi,jpi,jpk, zdiffus )
	1191	#endif
[2715]	1192	!
[3294]	1193	IF( nn_timing == 1 ) CALL timing_stop('zdf_kpp')
	1194	!
[255]	1195	END SUBROUTINE zdf_kpp
	1196
	1197
[896]	1198	SUBROUTINE tra_kpp( kt )
[463]	1199	!!----------------------------------------------------------------------
	1200	!! * ROUTINE tra_kpp *
	1201	!!
[2528]	1202	!! ** Purpose : compute and add to the tracer trend the non-local tracer flux
[463]	1203	!!
	1204	!! ** Method : ???
	1205	!!----------------------------------------------------------------------
[2528]	1206	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrdt, ztrds ! 3D workspace
[463]	1207	!!----------------------------------------------------------------------
[896]	1208	INTEGER, INTENT(in) :: kt
	1209	INTEGER :: ji, jj, jk
[3294]	1210	!
	1211	IF( nn_timing == 1 ) CALL timing_start('tra_kpp')
	1212	!
[463]	1213	IF( kt == nit000 ) THEN
[2528]	1214	IF(lwp) WRITE(numout,*)
[463]	1215	IF(lwp) WRITE(numout,*) 'tra_kpp : KPP non-local tracer fluxes'
	1216	IF(lwp) WRITE(numout,*) '~~~~~~~ '
	1217	ENDIF
	1218
[2528]	1219	IF( l_trdtra ) THEN !* Save ta and sa trends
	1220	ALLOCATE( ztrdt(jpi,jpj,jpk) ) ; ztrdt(:,:,:) = tsa(:,:,:,jp_tem)
	1221	ALLOCATE( ztrds(jpi,jpj,jpk) ) ; ztrds(:,:,:) = tsa(:,:,:,jp_sal)
[463]	1222	ENDIF
	1223
	1224	! add non-local temperature and salinity flux ( in convective case only)
	1225	DO jk = 1, jpkm1
[2528]	1226	DO jj = 2, jpjm1
[463]	1227	DO ji = fs_2, fs_jpim1
[2528]	1228	tsa(ji,jj,jk,jp_tem) = tsa(ji,jj,jk,jp_tem) &
	1229	& - ( ghats(ji,jj,jk ) * avt (ji,jj,jk ) &
	1230	& - ghats(ji,jj,jk+1) * avt (ji,jj,jk+1) ) * wt0(ji,jj) / fse3t(ji,jj,jk)
	1231	tsa(ji,jj,jk,jp_sal) = tsa(ji,jj,jk,jp_sal) &
	1232	& - ( ghats(ji,jj,jk ) * fsavs(ji,jj,jk ) &
	1233	& - ghats(ji,jj,jk+1) * fsavs(ji,jj,jk+1) ) * ws0(ji,jj) / fse3t(ji,jj,jk)
[463]	1234	END DO
	1235	END DO
	1236	END DO
	1237
	1238	! save the non-local tracer flux trends for diagnostic
	1239	IF( l_trdtra ) THEN
[2528]	1240	ztrdt(:,:,:) = tsa(:,:,:,jp_tem) - ztrdt(:,:,:)
	1241	ztrds(:,:,:) = tsa(:,:,:,jp_sal) - ztrds(:,:,:)
[463]	1242	!!bug gm jpttdzdf ==> jpttkpp
[4990]	1243	CALL trd_tra( kt, 'TRA', jp_tem, jptra_zdf, ztrdt )
	1244	CALL trd_tra( kt, 'TRA', jp_sal, jptra_zdf, ztrds )
[2528]	1245	DEALLOCATE( ztrdt ) ; DEALLOCATE( ztrds )
[463]	1246	ENDIF
	1247
[2528]	1248	IF(ln_ctl) THEN
	1249	CALL prt_ctl( tab3d_1=tsa(:,:,:,jp_tem), clinfo1=' kpp - Ta: ', mask1=tmask, &
	1250	& tab3d_2=tsa(:,:,:,jp_sal), clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' )
[463]	1251	ENDIF
[3294]	1252	!
	1253	IF( nn_timing == 1 ) CALL timing_stop('tra_kpp')
	1254	!
[463]	1255	END SUBROUTINE tra_kpp
	1256
[2528]	1257	#if defined key_top
	1258	!!----------------------------------------------------------------------
	1259	!! 'key_top' TOP models
	1260	!!----------------------------------------------------------------------
	1261	SUBROUTINE trc_kpp( kt )
	1262	!!----------------------------------------------------------------------
	1263	!! * ROUTINE trc_kpp *
	1264	!!
	1265	!! ** Purpose : compute and add to the tracer trend the non-local
	1266	!! tracer flux
	1267	!!
	1268	!! ** Method : ???
	1269	!!
	1270	!! history :
	1271	!! 9.0 ! 2005-11 (G. Madec) Original code
	1272	!! NEMO 3.3 ! 2010-06 (C. Ethe ) Adapted to passive tracers
	1273	!!----------------------------------------------------------------------
	1274	USE trc
	1275	USE prtctl_trc ! Print control
[2715]	1276	!
	1277	INTEGER, INTENT(in) :: kt ! ocean time-step index
	1278	!
[2528]	1279	INTEGER :: ji, jj, jk, jn ! Dummy loop indices
[3792]	1280	CHARACTER (len=35) :: charout
[2528]	1281	REAL(wp) :: ztra, zflx
	1282	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrtrd
	1283	!!----------------------------------------------------------------------
[463]	1284
[2528]	1285	IF( kt == nit000 ) THEN
	1286	IF(lwp) WRITE(numout,*)
	1287	IF(lwp) WRITE(numout,*) 'trc_kpp : KPP non-local tracer fluxes'
	1288	IF(lwp) WRITE(numout,*) '~~~~~~~ '
	1289	ENDIF
	1290
	1291	IF( l_trdtrc ) ALLOCATE( ztrtrd(jpi,jpj,jpk) )
	1292	!
	1293	DO jn = 1, jptra
	1294	!
	1295	IF( l_trdtrc ) ztrtrd(:,:,:) = tra(:,:,:,jn)
	1296	! add non-local on passive tracer flux ( in convective case only)
	1297	DO jk = 1, jpkm1
	1298	DO jj = 2, jpjm1
	1299	DO ji = fs_2, fs_jpim1
	1300	! Surface tracer flux for non-local term
[3625]	1301	zflx = - ( sfx (ji,jj) * tra(ji,jj,1,jn) * rcs ) * tmask(ji,jj,1)
[2528]	1302	! compute the trend
	1303	ztra = - ( ghats(ji,jj,jk ) * fsavs(ji,jj,jk ) &
	1304	& - ghats(ji,jj,jk+1) * fsavs(ji,jj,jk+1) ) * zflx / fse3t(ji,jj,jk)
	1305	! add the trend to the general trend
	1306	tra(ji,jj,jk,jn) = tra(ji,jj,jk,jn) + ztra
	1307	END DO
	1308	END DO
	1309	END DO
	1310	!
[3792]	1311	IF( l_trdtrc ) THEN ! save the non-local tracer flux trends for diagnostic
	1312	ztrtrd(:,:,:) = tra(:,:,:,jn) - ztrtrd(:,:,:)
[4990]	1313	CALL trd_tra( kt, 'TRC', jn, jptra_zdf, ztrtrd(:,:,:) )
[3792]	1314	ENDIF
	1315	!
[2528]	1316	END DO
	1317	IF( l_trdtrc ) DEALLOCATE( ztrtrd )
	1318	IF( ln_ctl ) THEN
	1319	WRITE(charout, FMT="(' kpp')") ; CALL prt_ctl_trc_info(charout)
[3792]	1320	CALL prt_ctl_trc( tab4d=tra, mask=tmask, clinfo=ctrcnm, clinfo2='trd' )
[2528]	1321	ENDIF
	1322	!
	1323	END SUBROUTINE trc_kpp
[2715]	1324
	1325	#else
	1326	!!----------------------------------------------------------------------
	1327	!! NO 'key_top' DUMMY routine No TOP models
	1328	!!----------------------------------------------------------------------
	1329	SUBROUTINE trc_kpp( kt ) ! Dummy routine
	1330	INTEGER, INTENT(in) :: kt ! ocean time-step index
	1331	WRITE(,) 'tra_kpp: You should not have seen this print! error?', kt
	1332	END SUBROUTINE trc_kpp
[2528]	1333	#endif
	1334
[255]	1335	SUBROUTINE zdf_kpp_init
	1336	!!----------------------------------------------------------------------
	1337	!! * ROUTINE zdf_kpp_init *
	1338	!!
	1339	!! ** Purpose : Initialization of the vertical eddy diffivity and
	1340	!! viscosity when using a kpp turbulent closure scheme
	1341	!!
	1342	!! ** Method : Read the namkpp namelist and check the parameters
	1343	!! called at the first timestep (nit000)
	1344	!!
	1345	!! ** input : Namlist namkpp
	1346	!!----------------------------------------------------------------------
[2528]	1347	INTEGER :: ji, jj, jk ! dummy loop indices
[4990]	1348	INTEGER :: ios ! local integer
[255]	1349	#if ! defined key_kppcustom
[2528]	1350	INTEGER :: jm ! dummy loop indices
	1351	REAL(wp) :: zref, zdist ! tempory scalars
[255]	1352	#endif
	1353	#if defined key_kpplktb
[2528]	1354	REAL(wp) :: zustar, zucube, zustvk, zeta, zehat ! tempory scalars
[255]	1355	#endif
[2528]	1356	REAL(wp) :: zhbf ! tempory scalars
	1357	LOGICAL :: ll_kppcustom ! 1st ocean level taken as surface layer
	1358	LOGICAL :: ll_kpplktb ! Lookup table for turbul. velocity scales
[1537]	1359	!!
[1601]	1360	NAMELIST/namzdf_kpp/ ln_kpprimix, rn_difmiw, rn_difsiw, rn_riinfty, rn_difri, rn_bvsqcon, rn_difcon, nn_ave
[255]	1361	!!----------------------------------------------------------------------
[3294]	1362	!
	1363	IF( nn_timing == 1 ) CALL timing_start('zdf_kpp_init')
	1364	!
[9366]	1365	IF(lwm) THEN
	1366	REWIND( numnam_ref ) ! Namelist namzdf_kpp in reference namelist : Vertical eddy diffivity and viscosity using kpp turbulent closure scheme
	1367	READ ( numnam_ref, namzdf_kpp, IOSTAT = ios, ERR = 901)
[9383]	1368	901 CONTINUE
	1369	ENDIF
	1370	call mpp_bcast(ios)
	1371	IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_kpp in reference namelist', lwp )
	1372	IF(lwm) THEN
[9366]	1373	REWIND( numnam_cfg ) ! Namelist namzdf_kpp in configuration namelist : Vertical eddy diffivity and viscosity using kpp turbulent closure scheme
	1374	READ ( numnam_cfg, namzdf_kpp, IOSTAT = ios, ERR = 902 )
[9383]	1375	902 CONTINUE
[9366]	1376	ENDIF
[9383]	1377	call mpp_bcast(ios)
	1378	IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_kpp in configuration namelist', lwp )
	1379
[4624]	1380	IF(lwm) WRITE ( numond, namzdf_kpp )
[4147]	1381
[9366]	1382	CALL kpp_namelist()
	1383
[1537]	1384	IF(lwp) THEN ! Control print
[255]	1385	WRITE(numout,*)
[1537]	1386	WRITE(numout,*) 'zdf_kpp_init : K-Profile Parameterisation'
[255]	1387	WRITE(numout,*) '~~~~~~~~~~~~'
[1601]	1388	WRITE(numout,*) ' Namelist namzdf_kpp : set tke mixing parameters'
[1537]	1389	WRITE(numout,*) ' Shear instability mixing ln_kpprimix = ', ln_kpprimix
	1390	WRITE(numout,*) ' max. internal wave viscosity rn_difmiw = ', rn_difmiw
	1391	WRITE(numout,*) ' max. internal wave diffusivity rn_difsiw = ', rn_difsiw
	1392	WRITE(numout,*) ' Richardson Number limit for shear instability rn_riinfty = ', rn_riinfty
	1393	WRITE(numout,*) ' max. shear mixing at Rig = 0 rn_difri = ', rn_difri
	1394	WRITE(numout,*) ' Brunt-Vaisala squared for max. convection rn_bvsqcon = ', rn_bvsqcon
	1395	WRITE(numout,*) ' max. mix. in interior convec. rn_difcon = ', rn_difcon
	1396	WRITE(numout,*) ' horizontal average flag nn_ave = ', nn_ave
[255]	1397	ENDIF
	1398
[2715]	1399	! ! allocate zdfkpp arrays
	1400	IF( zdf_kpp_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_kpp_init : unable to allocate arrays' )
	1401
[255]	1402	ll_kppcustom = .FALSE.
	1403	ll_kpplktb = .FALSE.
	1404
	1405	#if defined key_kppcustom
	1406	ll_kppcustom = .TRUE.
	1407	#endif
	1408	#if defined key_kpplktb
	1409	ll_kpplktb = .TRUE.
	1410	#endif
	1411	IF(lwp) THEN
	1412	WRITE(numout,*) ' Lookup table for turbul. velocity scales ll_kpplktb = ', ll_kpplktb
	1413	WRITE(numout,*) ' 1st ocean level taken as surface layer ll_kppcustom = ', ll_kppcustom
	1414	ENDIF
	1415
	1416	IF( lk_zdfddm) THEN
	1417	IF(lwp) THEN
	1418	WRITE(numout,*)
	1419	WRITE(numout,*) ' Double diffusion mixing on temperature and salinity '
	1420	WRITE(numout,*) ' CAUTION : done in routine zdfkpp, not in routine zdfddm '
	1421	ENDIF
	1422	ENDIF
	1423
	1424
	1425	!set constants not in namelist
	1426	!-----------------------------
	1427	Vtc = rconcv * SQRT( 0.2 / ( rconcs * epsilon ) ) / ( vonk * vonk * Ricr )
	1428	rcg = rcstar * vonk * ( rconcs * vonk * epsilon )**pthird
	1429
	1430	IF(lwp) THEN
[1537]	1431	WRITE(numout,*)
[255]	1432	WRITE(numout,*) ' Constant value for unreso. turbul. velocity shear Vtc = ', Vtc
	1433	WRITE(numout,*) ' Non-dimensional coef. for nonlocal transport rcg = ', rcg
	1434	ENDIF
	1435
	1436	! ratt is the attenuation coefficient for solar flux
	1437	! Should be different is s_coordinate
	1438	DO jk = 1, jpk
	1439	zhbf = - fsdept(1,1,jk) * hbf
	1440	ratt(jk) = 1.0 - ( rabs * EXP( zhbf / xsi1 ) + ( 1.0 - rabs ) * EXP( zhbf / xsi2 ) )
	1441	ENDDO
	1442
	1443	! Horizontal average : initialization of weighting arrays
	1444	! -------------------
	1445
[1537]	1446	SELECT CASE ( nn_ave )
[255]	1447
	1448	CASE ( 0 ) ! no horizontal average
	1449	IF(lwp) WRITE(numout,*) ' no horizontal average on avt, avmu, avmv'
	1450	IF(lwp) WRITE(numout,*) ' only in very high horizontal resolution !'
	1451	! weighting mean arrays etmean, eumean and evmean
	1452	! ( 1 1 ) ( 1 )
	1453	! avt = 1/4 ( 1 1 ) avmu = 1/2 ( 1 1 ) avmv= 1/2 ( 1 )
	1454	!
	1455	etmean(:,:,:) = 0.e0
	1456	eumean(:,:,:) = 0.e0
	1457	evmean(:,:,:) = 0.e0
	1458
	1459	DO jk = 1, jpkm1
	1460	DO jj = 2, jpjm1
	1461	DO ji = 2, jpim1 ! vector opt.
	1462	etmean(ji,jj,jk) = tmask(ji,jj,jk) &
	1463	& / MAX( 1., umask(ji-1,jj ,jk) + umask(ji,jj,jk) &
	1464	& + vmask(ji ,jj-1,jk) + vmask(ji,jj,jk) )
	1465
	1466	eumean(ji,jj,jk) = umask(ji,jj,jk) &
	1467	& / MAX( 1., tmask(ji,jj,jk) + tmask(ji+1,jj ,jk) )
	1468
	1469	evmean(ji,jj,jk) = vmask(ji,jj,jk) &
	1470	& / MAX( 1., tmask(ji,jj,jk) + tmask(ji ,jj+1,jk) )
	1471	END DO
	1472	END DO
	1473	END DO
	1474
	1475	CASE ( 1 ) ! horizontal average
	1476	IF(lwp) WRITE(numout,*) ' horizontal average on avt, avmu, avmv'
	1477	! weighting mean arrays etmean, eumean and evmean
	1478	! ( 1/2 1 1/2 ) ( 1/2 1/2 ) ( 1/2 1 1/2 )
	1479	! avt = 1/8 ( 1 2 1 ) avmu = 1/4 ( 1 1 ) avmv= 1/4 ( 1/2 1 1/2 )
	1480	! ( 1/2 1 1/2 ) ( 1/2 1/2 )
	1481	etmean(:,:,:) = 0.e0
	1482	eumean(:,:,:) = 0.e0
	1483	evmean(:,:,:) = 0.e0
	1484
	1485	DO jk = 1, jpkm1
	1486	DO jj = 2, jpjm1
	1487	DO ji = fs_2, fs_jpim1 ! vector opt.
	1488	etmean(ji,jj,jk) = tmask(ji, jj,jk) &
	1489	& / MAX( 1., 2.* tmask(ji,jj,jk) &
	1490	& +.5 * ( tmask(ji-1,jj+1,jk) + tmask(ji-1,jj-1,jk) &
	1491	& +tmask(ji+1,jj+1,jk) + tmask(ji+1,jj-1,jk) ) &
	1492	& +1. * ( tmask(ji-1,jj ,jk) + tmask(ji ,jj+1,jk) &
	1493	& +tmask(ji ,jj-1,jk) + tmask(ji+1,jj ,jk) ) )
	1494
	1495	eumean(ji,jj,jk) = umask(ji,jj,jk) &
	1496	& / MAX( 1., tmask(ji,jj ,jk) + tmask(ji+1,jj ,jk) &
	1497	& +.5 * ( tmask(ji,jj-1,jk) + tmask(ji+1,jj-1,jk) &
	1498	& +tmask(ji,jj+1,jk) + tmask(ji+1,jj+1,jk) ) )
	1499
	1500	evmean(ji,jj,jk) = vmask(ji,jj,jk) &
	1501	& / MAX( 1., tmask(ji ,jj,jk) + tmask(ji ,jj+1,jk) &
	1502	& +.5 * ( tmask(ji-1,jj,jk) + tmask(ji-1,jj+1,jk) &
	1503	& +tmask(ji+1,jj,jk) + tmask(ji+1,jj+1,jk) ) )
	1504	END DO
	1505	END DO
	1506	END DO
	1507
	1508	CASE DEFAULT
[1537]	1509	WRITE(ctmp1,*) ' bad flag value for nn_ave = ', nn_ave
[896]	1510	CALL ctl_stop( ctmp1 )
[255]	1511
	1512	END SELECT
	1513
	1514	! Initialization of vertical eddy coef. to the background value
	1515	! -------------------------------------------------------------
	1516	DO jk = 1, jpk
	1517	avt (:,:,jk) = avtb(jk) * tmask(:,:,jk)
	1518	avmu(:,:,jk) = avmb(jk) * umask(:,:,jk)
	1519	avmv(:,:,jk) = avmb(jk) * vmask(:,:,jk)
	1520	END DO
	1521
	1522	! zero the surface flux for non local term and kpp mixed layer depth
	1523	! ------------------------------------------------------------------
	1524	ghats(:,:,:) = 0.
	1525	wt0 (:,: ) = 0.
	1526	ws0 (:,: ) = 0.
	1527	hkpp (:,: ) = 0. ! just a diagnostic (not essential)
	1528
	1529	#if ! defined key_kppcustom
	1530	! compute arrays (del, wz) for reference mean values
	1531	! (increase speed for vectorization key_kppcustom not defined)
	1532	del(1:jpk, 1:jpk) = 0.
	1533	DO jk = 1, jpk
	1534	zref = epsilon * fsdept(1,1,jk)
	1535	DO jm = 1 , jpk
	1536	zdist = zref - fsdepw(1,1,jm)
	1537	IF( zdist > 0. ) THEN
	1538	del(jk,jm) = MIN( zdist, fse3t(1,1,jm) ) / zref
	1539	ELSE
	1540	del(jk,jm) = 0.
	1541	ENDIF
	1542	ENDDO
	1543	ENDDO
	1544	#endif
	1545
	1546	#if defined key_kpplktb
	1547	! build lookup table for turbulent velocity scales
	1548	dezehat = ( dehatmax - dehatmin ) / nilktbm1
	1549	deustar = ( ustmax - ustmin ) / njlktbm1
	1550
	1551	DO jj = 1, njlktb
	1552	zustar = ( jj - 1) * deustar + ustmin
	1553	zustvk = vonk * zustar
	1554	zucube = zustar * zustar * zustar
	1555	DO ji = 1 , nilktb
	1556	zehat = ( ji - 1 ) * dezehat + dehatmin
	1557	zeta = zehat / ( zucube + epsln )
	1558	IF( zehat >= 0 ) THEN ! Stable case
	1559	wmlktb(ji,jj) = zustvk / ABS( 1.0 + rconc1 * zeta + epsln )
	1560	wslktb(ji,jj) = wmlktb(ji,jj)
	1561	ELSE ! Unstable case
	1562	IF( zeta > rzetam ) THEN
	1563	wmlktb(ji,jj) = zustvk * ABS( 1.0 - rconc2 * zeta )**pfourth
	1564	ELSE
	1565	wmlktb(ji,jj) = zustvk * ABS( rconam - rconcm * zeta )**pthird
	1566	ENDIF
	1567
	1568	IF( zeta > rzetas ) THEN
	1569	wslktb(ji,jj) = zustvk * SQRT( ABS( 1.0 - rconc2 * zeta ) )
	1570	ELSE
	1571	wslktb(ji,jj) = zustvk * ABS( rconas - rconcs * zeta )**pthird
	1572	ENDIF
	1573	ENDIF
	1574	END DO
	1575	END DO
	1576	#endif
[2715]	1577	!
[3294]	1578	IF( nn_timing == 1 ) CALL timing_stop('zdf_kpp_init')
	1579	!
[255]	1580	END SUBROUTINE zdf_kpp_init
	1581
[9366]	1582	SUBROUTINE kpp_namelist()
	1583	!!---------------------------------------------------------------------
	1584	!! * ROUTINE kpp_namelist *
	1585	!!
	1586	!! ** Purpose : Broadcast namelist variables read by procesor lwm
	1587	!!
	1588	!! ** Method : use lib_mpp
	1589	!!----------------------------------------------------------------------
	1590	#if defined key_mpp_mpi
	1591	CALL mpp_bcast(ln_kpprimix)
	1592	CALL mpp_bcast(rn_difmiw)
	1593	CALL mpp_bcast(rn_difsiw)
	1594	CALL mpp_bcast(rn_riinfty)
	1595	CALL mpp_bcast(rn_difri)
	1596	CALL mpp_bcast(rn_bvsqcon)
	1597	CALL mpp_bcast(rn_difcon)
	1598	CALL mpp_bcast(nn_ave)
	1599	#endif
	1600	END SUBROUTINE kpp_namelist
[255]	1601	#else
	1602	!!----------------------------------------------------------------------
	1603	!! Dummy module : NO KPP scheme
	1604	!!----------------------------------------------------------------------
	1605	LOGICAL, PUBLIC, PARAMETER :: lk_zdfkpp = .FALSE. !: KPP flag
	1606	CONTAINS
[2528]	1607	SUBROUTINE zdf_kpp_init ! Dummy routine
	1608	WRITE(,) 'zdf_kpp_init: You should not have seen this print! error?'
	1609	END SUBROUTINE zdf_kpp_init
	1610	SUBROUTINE zdf_kpp( kt ) ! Dummy routine
[255]	1611	WRITE(,) 'zdf_kpp: You should not have seen this print! error?', kt
	1612	END SUBROUTINE zdf_kpp
[2528]	1613	SUBROUTINE tra_kpp( kt ) ! Dummy routine
[463]	1614	WRITE(,) 'tra_kpp: You should not have seen this print! error?', kt
	1615	END SUBROUTINE tra_kpp
[2528]	1616	SUBROUTINE trc_kpp( kt ) ! Dummy routine
	1617	WRITE(,) 'trc_kpp: You should not have seen this print! error?', kt
	1618	END SUBROUTINE trc_kpp
[255]	1619	#endif
	1620
	1621	!!======================================================================
	1622	END MODULE zdfkpp

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source: branches/UKMO/test_moci_test_suite_namelist_read/NEMOGCM/NEMO/OPA_SRC/ZDF/zdfkpp.F90 @ 9383

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