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zdftke.F90 in NEMO/branches/2020/dev_r12702_ASINTER-02_emanuelaclementi_Waves/src/OCE/ZDF – NEMO

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source: NEMO/branches/2020/dev_r12702_ASINTER-02_emanuelaclementi_Waves/src/OCE/ZDF/zdftke.F90 @ 13237

Last change on this file since 13237 was 12991, checked in by emanuelaclementi, 4 years ago
Included wave-current processes following Couvelard et al 2019 and Gurvan code -ticket #2155
Property svn:keywords set to `Id`
File size: 45.1 KB

Rev	Line
[1531]	1	MODULE zdftke
[1239]	2	!!======================================================================
[1531]	3	!! * MODULE zdftke *
[1239]	4	!! Ocean physics: vertical mixing coefficient computed from the tke
	5	!! turbulent closure parameterization
	6	!!=====================================================================
[1492]	7	!! History : OPA ! 1991-03 (b. blanke) Original code
	8	!! 7.0 ! 1991-11 (G. Madec) bug fix
	9	!! 7.1 ! 1992-10 (G. Madec) new mixing length and eav
	10	!! 7.2 ! 1993-03 (M. Guyon) symetrical conditions
	11	!! 7.3 ! 1994-08 (G. Madec, M. Imbard) nn_pdl flag
	12	!! 7.5 ! 1996-01 (G. Madec) s-coordinates
	13	!! 8.0 ! 1997-07 (G. Madec) lbc
	14	!! 8.1 ! 1999-01 (E. Stretta) new option for the mixing length
	15	!! NEMO 1.0 ! 2002-06 (G. Madec) add tke_init routine
	16	!! - ! 2004-10 (C. Ethe ) 1D configuration
	17	!! 2.0 ! 2006-07 (S. Masson) distributed restart using iom
	18	!! 3.0 ! 2008-05 (C. Ethe, G.Madec) : update TKE physics:
	19	!! ! - tke penetration (wind steering)
	20	!! ! - suface condition for tke & mixing length
	21	!! ! - Langmuir cells
	22	!! - ! 2008-05 (J.-M. Molines, G. Madec) 2D form of avtb
	23	!! - ! 2008-06 (G. Madec) style + DOCTOR name for namelist parameters
	24	!! - ! 2008-12 (G. Reffray) stable discretization of the production term
	25	!! 3.2 ! 2009-06 (G. Madec, S. Masson) TKE restart compatible with key_cpl
	26	!! ! + cleaning of the parameters + bugs correction
[2528]	27	!! 3.3 ! 2010-10 (C. Ethe, G. Madec) reorganisation of initialisation phase
[5120]	28	!! 3.6 ! 2014-11 (P. Mathiot) add ice shelf capability
[9019]	29	!! 4.0 ! 2017-04 (G. Madec) remove CPP ddm key & avm at t-point only
	30	!! - ! 2017-05 (G. Madec) add top/bottom friction as boundary condition (ln_drg)
[1239]	31	!!----------------------------------------------------------------------
[9019]	32
[1239]	33	!!----------------------------------------------------------------------
[3625]	34	!! zdf_tke : update momentum and tracer Kz from a tke scheme
	35	!! tke_tke : tke time stepping: update tke at now time step (en)
	36	!! tke_avn : compute mixing length scale and deduce avm and avt
	37	!! zdf_tke_init : initialization, namelist read, and parameters control
	38	!! tke_rst : read/write tke restart in ocean restart file
[1239]	39	!!----------------------------------------------------------------------
[2528]	40	USE oce ! ocean: dynamics and active tracers variables
	41	USE phycst ! physical constants
	42	USE dom_oce ! domain: ocean
	43	USE domvvl ! domain: variable volume layer
[1492]	44	USE sbc_oce ! surface boundary condition: ocean
[9019]	45	USE zdfdrg ! vertical physics: top/bottom drag coef.
[2528]	46	USE zdfmxl ! vertical physics: mixed layer
[9019]	47	!
[1492]	48	USE in_out_manager ! I/O manager
	49	USE iom ! I/O manager library
[2715]	50	USE lib_mpp ! MPP library
[9019]	51	USE lbclnk ! ocean lateral boundary conditions (or mpp link)
	52	USE prtctl ! Print control
[3625]	53	USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined)
[12991]	54	USE sbcwave ! Surface boundary waves
[1239]	55
	56	IMPLICIT NONE
	57	PRIVATE
	58
[2528]	59	PUBLIC zdf_tke ! routine called in step module
	60	PUBLIC zdf_tke_init ! routine called in opa module
	61	PUBLIC tke_rst ! routine called in step module
[1239]	62
[4147]	63	! !! Namelist namzdf_tke
	64	LOGICAL :: ln_mxl0 ! mixing length scale surface value as function of wind stress or not
[12991]	65	LOGICAL :: ln_mxhsw ! mixing length scale surface value as a fonction of wave height
[4147]	66	INTEGER :: nn_mxl ! type of mixing length (=0/1/2/3)
	67	REAL(wp) :: rn_mxl0 ! surface min value of mixing length (kappaz_o=0.40.1 m) [m]
	68	INTEGER :: nn_pdl ! Prandtl number or not (ratio avt/avm) (=0/1)
	69	REAL(wp) :: rn_ediff ! coefficient for avt: avt=rn_ediffmxlsqrt(e)
	70	REAL(wp) :: rn_ediss ! coefficient of the Kolmogoroff dissipation
	71	REAL(wp) :: rn_ebb ! coefficient of the surface input of tke
	72	REAL(wp) :: rn_emin ! minimum value of tke [m2/s2]
	73	REAL(wp) :: rn_emin0 ! surface minimum value of tke [m2/s2]
	74	REAL(wp) :: rn_bshear ! background shear (>0) currently a numerical threshold (do not change it)
[9019]	75	LOGICAL :: ln_drg ! top/bottom friction forcing flag
[4147]	76	INTEGER :: nn_etau ! type of depth penetration of surface tke (=0/1/2/3)
[9019]	77	INTEGER :: nn_htau ! type of tke profile of penetration (=0/1)
[12991]	78	INTEGER :: nn_bc_surf! surface condition (0/1=Dir/Neum) ! Only applicable for wave coupling
	79	INTEGER :: nn_bc_bot ! surface condition (0/1=Dir/Neum) ! Only applicable for wave coupling
[9019]	80	REAL(wp) :: rn_efr ! fraction of TKE surface value which penetrates in the ocean
[9546]	81	REAL(wp) :: rn_eice ! =0 ON below sea-ice, =4 OFF when ice fraction > 1/4
[4147]	82	LOGICAL :: ln_lc ! Langmuir cells (LC) as a source term of TKE or not
[9019]	83	REAL(wp) :: rn_lc ! coef to compute vertical velocity of Langmuir cells
[1239]	84
[4147]	85	REAL(wp) :: ri_cri ! critic Richardson number (deduced from rn_ediff and rn_ediss values)
	86	REAL(wp) :: rmxl_min ! minimum mixing length value (deduced from rn_ediff and rn_emin values) [m]
[2528]	87	REAL(wp) :: rhftau_add = 1.e-3_wp ! add offset applied to HF part of taum (nn_etau=3)
	88	REAL(wp) :: rhftau_scl = 1.0_wp ! scale factor applied to HF part of taum (nn_etau=3)
[1239]	89
[9019]	90	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: htau ! depth of tke penetration (nn_htau)
	91	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: dissl ! now mixing lenght of dissipation
	92	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: apdlr ! now mixing lenght of dissipation
[1492]	93
[1239]	94	!! * Substitutions
[12377]	95	# include "do_loop_substitute.h90"
[1239]	96	!!----------------------------------------------------------------------
[9598]	97	!! NEMO/OCE 4.0 , NEMO Consortium (2018)
[2528]	98	!! $Id$
[10068]	99	!! Software governed by the CeCILL license (see ./LICENSE)
[1239]	100	!!----------------------------------------------------------------------
	101	CONTAINS
	102
[2715]	103	INTEGER FUNCTION zdf_tke_alloc()
	104	!!----------------------------------------------------------------------
	105	!! * FUNCTION zdf_tke_alloc *
	106	!!----------------------------------------------------------------------
[9019]	107	ALLOCATE( htau(jpi,jpj) , dissl(jpi,jpj,jpk) , apdlr(jpi,jpj,jpk) , STAT= zdf_tke_alloc )
	108	!
[10425]	109	CALL mpp_sum ( 'zdftke', zdf_tke_alloc )
	110	IF( zdf_tke_alloc /= 0 ) CALL ctl_stop( 'STOP', 'zdf_tke_alloc: failed to allocate arrays' )
[2715]	111	!
	112	END FUNCTION zdf_tke_alloc
	113
	114
[12377]	115	SUBROUTINE zdf_tke( kt, Kbb, Kmm, p_sh2, p_avm, p_avt )
[1239]	116	!!----------------------------------------------------------------------
[1531]	117	!! * ROUTINE zdf_tke *
[1239]	118	!!
	119	!! ** Purpose : Compute the vertical eddy viscosity and diffusivity
[1492]	120	!! coefficients using a turbulent closure scheme (TKE).
[1239]	121	!!
[1492]	122	!! ** Method : The time evolution of the turbulent kinetic energy (tke)
	123	!! is computed from a prognostic equation :
	124	!! d(en)/dt = avm (d(u)/dz)**2 ! shear production
	125	!! + d( avm d(en)/dz )/dz ! diffusion of tke
	126	!! + avt N^2 ! stratif. destruc.
	127	!! - rn_ediss / emxl en**(2/3) ! Kolmogoroff dissipation
[1239]	128	!! with the boundary conditions:
[1695]	129	!! surface: en = max( rn_emin0, rn_ebb * taum )
[1239]	130	!! bottom : en = rn_emin
[1492]	131	!! The associated critical Richardson number is: ri_cri = 2/(2+rn_ediss/rn_ediff)
	132	!!
	133	!! The now Turbulent kinetic energy is computed using the following
	134	!! time stepping: implicit for vertical diffusion term, linearized semi
	135	!! implicit for kolmogoroff dissipation term, and explicit forward for
	136	!! both buoyancy and shear production terms. Therefore a tridiagonal
	137	!! linear system is solved. Note that buoyancy and shear terms are
	138	!! discretized in a energy conserving form (Bruchard 2002).
	139	!!
	140	!! The dissipative and mixing length scale are computed from en and
	141	!! the stratification (see tke_avn)
	142	!!
	143	!! The now vertical eddy vicosity and diffusivity coefficients are
	144	!! given by:
	145	!! avm = max( avtb, rn_ediff * zmxlm * en^1/2 )
	146	!! avt = max( avmb, pdl * avm )
[1239]	147	!! eav = max( avmb, avm )
[1492]	148	!! where pdl, the inverse of the Prandtl number is 1 if nn_pdl=0 and
	149	!! given by an empirical funtion of the localRichardson number if nn_pdl=1
[1239]	150	!!
	151	!! ** Action : compute en (now turbulent kinetic energy)
[9019]	152	!! update avt, avm (before vertical eddy coef.)
[1239]	153	!!
	154	!! References : Gaspar et al., JGR, 1990,
	155	!! Blanke and Delecluse, JPO, 1991
	156	!! Mellor and Blumberg, JPO 2004
	157	!! Axell, JGR, 2002
[1492]	158	!! Bruchard OM 2002
[1239]	159	!!----------------------------------------------------------------------
[9019]	160	INTEGER , INTENT(in ) :: kt ! ocean time step
[12377]	161	INTEGER , INTENT(in ) :: Kbb, Kmm ! ocean time level indices
[9019]	162	REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: p_sh2 ! shear production term
	163	REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: p_avm, p_avt ! momentum and tracer Kz (w-points)
[1492]	164	!!----------------------------------------------------------------------
[1481]	165	!
[12377]	166	CALL tke_tke( Kbb, Kmm, p_sh2, p_avm, p_avt ) ! now tke (en)
[5656]	167	!
[12377]	168	CALL tke_avn( Kbb, Kmm, p_avm, p_avt ) ! now avt, avm, dissl
[3632]	169	!
[5656]	170	END SUBROUTINE zdf_tke
[1239]	171
[1492]	172
[12377]	173	SUBROUTINE tke_tke( Kbb, Kmm, p_sh2, p_avm, p_avt )
[1239]	174	!!----------------------------------------------------------------------
[1492]	175	!! * ROUTINE tke_tke *
	176	!!
	177	!! ** Purpose : Compute the now Turbulente Kinetic Energy (TKE)
	178	!!
	179	!! ** Method : - TKE surface boundary condition
[2528]	180	!! - source term due to Langmuir cells (Axell JGR 2002) (ln_lc=T)
[9019]	181	!! - source term due to shear (= Kz dz[Ub] * dz[Un] )
[1492]	182	!! - Now TKE : resolution of the TKE equation by inverting
	183	!! a tridiagonal linear system by a "methode de chasse"
	184	!! - increase TKE due to surface and internal wave breaking
[9019]	185	!! NB: when sea-ice is present, both LC parameterization
	186	!! and TKE penetration are turned off when the ice fraction
	187	!! is smaller than 0.25
[1492]	188	!!
	189	!! ** Action : - en : now turbulent kinetic energy)
[1239]	190	!! ---------------------------------------------------------------------
[9019]	191	USE zdf_oce , ONLY : en ! ocean vertical physics
	192	!!
[12377]	193	INTEGER , INTENT(in ) :: Kbb, Kmm ! ocean time level indices
[9019]	194	REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: p_sh2 ! shear production term
	195	REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: p_avm, p_avt ! vertical eddy viscosity & diffusivity (w-points)
	196	!
	197	INTEGER :: ji, jj, jk ! dummy loop arguments
	198	REAL(wp) :: zetop, zebot, zmsku, zmskv ! local scalars
	199	REAL(wp) :: zrhoa = 1.22 ! Air density kg/m3
	200	REAL(wp) :: zcdrag = 1.5e-3 ! drag coefficient
	201	REAL(wp) :: zbbrau, zri ! local scalars
	202	REAL(wp) :: zfact1, zfact2, zfact3 ! - -
	203	REAL(wp) :: ztx2 , zty2 , zcof ! - -
	204	REAL(wp) :: ztau , zdif ! - -
	205	REAL(wp) :: zus , zwlc , zind ! - -
	206	REAL(wp) :: zzd_up, zzd_lw ! - -
[12991]	207	REAL(wp) :: ztaui, ztauj, z1_norm
[9019]	208	INTEGER , DIMENSION(jpi,jpj) :: imlc
[12991]	209	REAL(wp), DIMENSION(jpi,jpj) :: zhlc, zfr_i, zWlc2
[9019]	210	REAL(wp), DIMENSION(jpi,jpj,jpk) :: zpelc, zdiag, zd_up, zd_lw
[1239]	211	!!--------------------------------------------------------------------
[1492]	212	!
[12489]	213	zbbrau = rn_ebb / rho0 ! Local constant initialisation
	214	zfact1 = -.5_wp * rn_Dt
	215	zfact2 = 1.5_wp * rn_Dt * rn_ediss
[2528]	216	zfact3 = 0.5_wp * rn_ediss
[1492]	217	!
[12991]	218	zpelc(:,:,:) = 0._wp ! need to be initialised in case ln_lc is not used
	219	!
[1492]	220	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[9019]	221	! ! Surface/top/bottom boundary condition on tke
[1492]	222	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[12698]	223	!
[12377]	224	DO_2D_00_00
	225	en(ji,jj,1) = MAX( rn_emin0, zbbrau * taum(ji,jj) ) * tmask(ji,jj,1)
	226	END_2D
[9019]	227	!
[1492]	228	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	229	! ! Bottom boundary condition on tke
	230	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[1719]	231	!
[12489]	232	! en(bot) = (ebb0/rho0)0.5sqrt(u_botfr^2+v_botfr^2) (min value rn_emin)
[9019]	233	! where ebb0 does not includes surface wave enhancement (i.e. ebb0=3.75)
	234	! Note that stress averaged is done using an wet-only calculation of u and v at t-point like in zdfsh2
[1492]	235	!
[9019]	236	IF( ln_drg ) THEN !== friction used as top/bottom boundary condition on TKE
	237	!
[12377]	238	DO_2D_00_00
	239	zmsku = ( 2. - umask(ji-1,jj,mbkt(ji,jj)) * umask(ji,jj,mbkt(ji,jj)) )
	240	zmskv = ( 2. - vmask(ji,jj-1,mbkt(ji,jj)) * vmask(ji,jj,mbkt(ji,jj)) )
[12489]	241	! ! where 0.001875 = (rn_ebb0/rho0) * 0.5 = 3.75*0.5/1000. (CAUTION CdU<0)
[12377]	242	zebot = - 0.001875_wp * rCdU_bot(ji,jj) * SQRT( ( zmsku( uu(ji,jj,mbkt(ji,jj),Kbb)+uu(ji-1,jj,mbkt(ji,jj),Kbb) ) )*2 &
	243	& + ( zmskv( vv(ji,jj,mbkt(ji,jj),Kbb)+vv(ji,jj-1,mbkt(ji,jj),Kbb) ) )*2 )
	244	en(ji,jj,mbkt(ji,jj)+1) = MAX( zebot, rn_emin ) * ssmask(ji,jj)
	245	END_2D
[9019]	246	IF( ln_isfcav ) THEN ! top friction
[12377]	247	DO_2D_00_00
	248	zmsku = ( 2. - umask(ji-1,jj,mikt(ji,jj)) * umask(ji,jj,mikt(ji,jj)) )
	249	zmskv = ( 2. - vmask(ji,jj-1,mikt(ji,jj)) * vmask(ji,jj,mikt(ji,jj)) )
[12489]	250	! ! where 0.001875 = (rn_ebb0/rho0) * 0.5 = 3.75*0.5/1000. (CAUTION CdU<0)
[12377]	251	zetop = - 0.001875_wp * rCdU_top(ji,jj) * SQRT( ( zmsku( uu(ji,jj,mikt(ji,jj),Kbb)+uu(ji-1,jj,mikt(ji,jj),Kbb) ) )*2 &
	252	& + ( zmskv( vv(ji,jj,mikt(ji,jj),Kbb)+vv(ji,jj-1,mikt(ji,jj),Kbb) ) )*2 )
[12702]	253	! (1._wp - tmask(ji,jj,1)) * ssmask(ji,jj) = 1 where ice shelves are present
	254	en(ji,jj,mikt(ji,jj)) = en(ji,jj,1) * tmask(ji,jj,1) &
	255	& + MAX( zetop, rn_emin ) * (1._wp - tmask(ji,jj,1)) * ssmask(ji,jj)
[12377]	256	END_2D
[9019]	257	ENDIF
	258	!
	259	ENDIF
	260	!
[1492]	261	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[12991]	262	IF( ln_lc ) THEN ! Langmuir circulation source term added to tke (Axell JGR 2002)
[1492]	263	! !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
[1239]	264	!
[12991]	265	! !* Langmuir velocity scale
	266	!
	267	IF ( cpl_sdrftx ) THEN ! Surface Stokes Drift available
	268	! ! Craik-Leibovich velocity scale Wlc = ( u* u_s )^1/2 with u* = (taum/rho0)^1/2
	269	! ! associated kinetic energy : 1/2 (Wlc)^2 = u* u_s
	270	! ! more precisely, it is the dot product that must be used :
	271	! ! 1/2 (W_lc)^2 = MAX( u* u_s + v* v_s , 0 ) only the positive part
	272	!!gm ! PS: currently we don't have neither the 2 stress components at t-point !nor the angle between u* and u_s
	273	!!gm ! so we will overestimate the LC velocity.... !!gm I will do the work if !LC have an effect !
	274	DO_2D_00_00
	275	!!XC zWlc2(ji,jj) = 0.5_wp * SQRT( taum(ji,jj) * r1_rho0 * ( ut0sd(ji,jj)2 +vt0sd(ji,jj)2 ) )
	276	zWlc2(ji,jj) = 0.5_wp * ( ut0sd(ji,jj)2 +vt0sd(ji,jj)2 )
	277	END_2D
	278	!
	279	! Projection of Stokes drift in the wind stress direction
	280	!
	281	DO_2D_00_00
	282	ztaui = 0.5_wp * ( utau(ji,jj) + utau(ji-1,jj) )
	283	ztauj = 0.5_wp * ( vtau(ji,jj) + vtau(ji,jj-1) )
	284	z1_norm = 1._wp / MAX( SQRT(ztauiztaui+ztaujztauj), 1.e-12 ) * tmask(ji,jj,1)
	285	zWlc2(ji,jj) = 0.5_wp * z1_norm * ( MAX( ut0sd(ji,jj)ztaui + vt0sd(ji,jj)ztauj, 0._wp ) )**2
	286	END_2D
	287	CALL lbc_lnk ( 'zdftke', zWlc2, 'T', 1. )
	288	!
	289	ELSE ! Surface Stokes drift deduced from surface stress
	290	! ! Wlc = u_s with u_s = 0.016*U_10m, the surface stokes drift (Axell 2002, Eq.44)
	291	! ! using \|tau\| = rho_air Cd \|U_10m\|^2 , it comes:
	292	! ! Wlc = 0.016 * [\|tau\|/(rho_air Cdrag) ]^1/2 and thus:
	293	! ! 1/2 Wlc^2 = 0.5 * 0.016 * 0.016 \|tau\| /( rho_air Cdrag )
	294	zcof = 0.5 * 0.016 * 0.016 / ( zrhoa * zcdrag ) ! to convert stress in 10m wind using a constant drag
	295	DO_2D_11_11
	296	zWlc2(ji,jj) = zcof * taum(ji,jj)
	297	END_2D
	298	!
	299	ENDIF
	300	!
	301	! !* Depth of the LC circulation (Axell 2002, Eq.47)
	302	! !- LHS of Eq.47
[12377]	303	zpelc(:,:,1) = MAX( rn2b(:,:,1), 0._wp ) * gdepw(:,:,1,Kmm) * e3w(:,:,1,Kmm)
[1239]	304	DO jk = 2, jpk
[12377]	305	zpelc(:,:,jk) = zpelc(:,:,jk-1) + MAX( rn2b(:,:,jk), 0._wp ) * gdepw(:,:,jk,Kmm) * e3w(:,:,jk,Kmm)
[1239]	306	END DO
[12991]	307	!
	308	! !- compare LHS to RHS of Eq.47
[7753]	309	imlc(:,:) = mbkt(:,:) + 1 ! Initialization to the number of w ocean point (=2 over land)
[12377]	310	DO_3DS_11_11( jpkm1, 2, -1 )
[12991]	311	IF( zpelc(ji,jj,jk) > zWlc2(ji,jj) ) imlc(ji,jj) = jk
[12377]	312	END_3D
[1492]	313	! ! finite LC depth
[12377]	314	DO_2D_11_11
	315	zhlc(ji,jj) = gdepw(ji,jj,imlc(ji,jj),Kmm)
	316	END_2D
[12991]	317	!
[1705]	318	zcof = 0.016 / SQRT( zrhoa * zcdrag )
[12377]	319	DO_2D_00_00
[12991]	320	zus = SQRT( 2. * zWlc2(ji,jj) ) ! Stokes drift
[12377]	321	zfr_i(ji,jj) = ( 1._wp - 4._wp * fr_i(ji,jj) ) * zus * zus * zus * tmask(ji,jj,1) ! zus > 0. ok
	322	IF (zfr_i(ji,jj) < 0. ) zfr_i(ji,jj) = 0.
	323	END_2D
	324	DO_3D_00_00( 2, jpkm1 )
	325	IF ( zfr_i(ji,jj) /= 0. ) THEN
	326	! vertical velocity due to LC
	327	IF ( gdepw(ji,jj,jk,Kmm) - zhlc(ji,jj) < 0 .AND. wmask(ji,jj,jk) /= 0. ) THEN
	328	! ! vertical velocity due to LC
	329	zwlc = rn_lc * SIN( rpi * gdepw(ji,jj,jk,Kmm) / zhlc(ji,jj) ) ! warning: optimization: zus^3 is in zfr_i
	330	! ! TKE Langmuir circulation source term
[12489]	331	en(ji,jj,jk) = en(ji,jj,jk) + rn_Dt * zfr_i(ji,jj) * ( zwlc * zwlc * zwlc ) / zhlc(ji,jj)
[12377]	332	ENDIF
	333	ENDIF
	334	END_3D
[1239]	335	!
	336	ENDIF
[1492]	337	!
	338	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	339	! ! Now Turbulent kinetic energy (output in en)
	340	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	341	! ! Resolution of a tridiagonal linear system by a "methode de chasse"
	342	! ! computation from level 2 to jpkm1 (e(1) already computed and e(jpk)=0 ).
	343	! ! zdiag : diagonal zd_up : upper diagonal zd_lw : lower diagonal
	344	!
[9019]	345	IF( nn_pdl == 1 ) THEN !* Prandtl number = F( Ri )
[12377]	346	DO_3D_00_00( 2, jpkm1 )
	347	! ! local Richardson number
	348	zri = MAX( rn2b(ji,jj,jk), 0._wp ) * p_avm(ji,jj,jk) / ( p_sh2(ji,jj,jk) + rn_bshear )
	349	! ! inverse of Prandtl number
	350	apdlr(ji,jj,jk) = MAX( 0.1_wp, ri_cri / MAX( ri_cri , zri ) )
	351	END_3D
[5656]	352	ENDIF
[5836]	353	!
[12377]	354	DO_3D_00_00( 2, jpkm1 )
	355	zcof = zfact1 * tmask(ji,jj,jk)
	356	! ! A minimum of 2.e-5 m2/s is imposed on TKE vertical
	357	! ! eddy coefficient (ensure numerical stability)
	358	zzd_up = zcof * MAX( p_avm(ji,jj,jk+1) + p_avm(ji,jj,jk ) , 2.e-5_wp ) & ! upper diagonal
	359	& / ( e3t(ji,jj,jk ,Kmm) * e3w(ji,jj,jk ,Kmm) )
	360	zzd_lw = zcof * MAX( p_avm(ji,jj,jk ) + p_avm(ji,jj,jk-1) , 2.e-5_wp ) & ! lower diagonal
	361	& / ( e3t(ji,jj,jk-1,Kmm) * e3w(ji,jj,jk ,Kmm) )
	362	!
	363	zd_up(ji,jj,jk) = zzd_up ! Matrix (zdiag, zd_up, zd_lw)
	364	zd_lw(ji,jj,jk) = zzd_lw
	365	zdiag(ji,jj,jk) = 1._wp - zzd_lw - zzd_up + zfact2 * dissl(ji,jj,jk) * wmask(ji,jj,jk)
	366	!
	367	! ! right hand side in en
[12489]	368	en(ji,jj,jk) = en(ji,jj,jk) + rn_Dt * ( p_sh2(ji,jj,jk) & ! shear
[12377]	369	& - p_avt(ji,jj,jk) * rn2(ji,jj,jk) & ! stratification
	370	& + zfact3 * dissl(ji,jj,jk) * en(ji,jj,jk) & ! dissipation
	371	& ) * wmask(ji,jj,jk)
	372	END_3D
[12991]	373	!
	374	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	375	! ! choose to keep coherence with previous estimation of
	376	! ! Surface boundary condition on tke
	377	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	378	! [EC] Should we keep this??
	379	IF ( ln_isfcav ) THEN
	380	DO_2D_11_11 ! en(mikt(ji,jj)) = rn_emin
	381	en(ji,jj,mikt(ji,jj))=rn_emin * tmask(ji,jj,1)
	382	END_2D
	383	END IF
	384
	385	IF ( cpl_phioc .and. ln_phioc ) THEN
	386	SELECT CASE (nn_bc_surf) !! Dirichlet Boundary Condition using surface TKE flux from waves
	387
	388	CASE ( 0 )
	389
	390	DO_2D_00_00 ! en(1) = rn_ebb taum / rho0 (min value rn_emin0)
	391	IF ( phioc(ji,jj) < 0 ) phioc(ji,jj) = 0._wp
	392	en(ji,jj,1) = MAX( rn_emin0, .5 * ( 15.8 * phioc(ji,jj) / rho0 )*(2./3.) ) tmask(ji,jj,1)
	393	zdiag(ji,jj,1) = 1._wp/en(ji,jj,1) ! choose to keep coherence with former estimation of
	394	zd_lw(ji,jj,1) = 1._wp ! zd_lw(ji,jj,2) = en(ji,jj,2) - zd_lw(ji,jj,2) * en(ji,jj,1)
	395	zd_up(ji,jj,1) = 0._wp
	396	END_2D
	397
	398	CASE ( 1 )
	399	DO_2D_00_00
	400	IF ( phioc(ji,jj) < 0 ) phioc(ji,jj) = 0._wp
	401	en(ji,jj,2) = en(ji,jj,2) + ( rn_Dt * phioc(ji,jj) / rho0 ) /e3w(ji,jj,2,Kmm)
	402	en(ji,jj,1) = en(ji,jj,2) + (2 * e3t(ji,jj,1,Kmm) * phioc(ji,jj)) / ( p_avm(ji,jj,1) + p_avm(ji,jj,2) )
	403	zdiag(ji,jj,2) = zdiag(ji,jj,2) + zd_lw(ji,jj,2)
	404	zd_lw(ji,jj,2) = 0._wp
	405	zd_up(ji,jj,1) = 0._wp
	406	END_2D
	407	!
	408	END SELECT
	409
	410	ELSE ! TKE Dirichlet boundary condition (without wave coupling)
	411
	412	DO_2D_00_00 ! en(1) = rn_ebb taum / rho0 (min value rn_emin0)
	413	en(ji,jj,1) = MAX( rn_emin0, zbbrau * taum(ji,jj) ) * tmask(ji,jj,1)
	414	zdiag(ji,jj,1) = 1._wp/en(ji,jj,1) ! choose to keep coherence with former estimation of
	415	zd_lw(ji,jj,1) = 1._wp ! zd_lw(ji,jj,2) = en(ji,jj,2) - zd_lw(ji,jj,2) * en(ji,jj,1)
	416	zd_up(ji,jj,1) = 0._wp
	417	END_2D
	418
	419	ENDIF
	420	!
[5120]	421	! !* Matrix inversion from level 2 (tke prescribed at level 1)
[12991]	422	! DO_3D_00_00( 3, jpkm1 )
	423	DO_3D_00_00( 2, jpkm1 ) ! First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1
[12377]	424	zdiag(ji,jj,jk) = zdiag(ji,jj,jk) - zd_lw(ji,jj,jk) * zd_up(ji,jj,jk-1) / zdiag(ji,jj,jk-1)
	425	END_3D
[12991]	426	!XC : commented to allow for neumann boundary condition
	427	! DO_2D_00_00
	428	! zd_lw(ji,jj,2) = en(ji,jj,2) - zd_lw(ji,jj,2) * en(ji,jj,1) ! Surface boudary conditions on tke
	429	! END_2D
	430	! DO_3D_00_00( 3, jpkm1 )
	431	DO_3D_00_00( 2, jpkm1 ) ! Second recurrence : Lk = RHSk - Lk / Dk-1 * Lk-1
[12377]	432	zd_lw(ji,jj,jk) = en(ji,jj,jk) - zd_lw(ji,jj,jk) / zdiag(ji,jj,jk-1) *zd_lw(ji,jj,jk-1)
	433	END_3D
	434	DO_2D_00_00
	435	en(ji,jj,jpkm1) = zd_lw(ji,jj,jpkm1) / zdiag(ji,jj,jpkm1)
	436	END_2D
[12991]	437	DO_3DS_00_00( jpk-2, 2, -1 ) ! thrid recurrence : Ek = ( Lk - Uk * Ek+1 ) / Dk
[12377]	438	en(ji,jj,jk) = ( zd_lw(ji,jj,jk) - zd_up(ji,jj,jk) * en(ji,jj,jk+1) ) / zdiag(ji,jj,jk)
	439	END_3D
[12991]	440	DO_3D_00_00( 2, jpkm1 ) ! set the minimum value of tke
[12377]	441	en(ji,jj,jk) = MAX( en(ji,jj,jk), rn_emin ) * wmask(ji,jj,jk)
	442	END_3D
[9019]	443	!
[1492]	444	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	445	! ! TKE due to surface and internal wave breaking
	446	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[6140]	447	!!gm BUG : in the exp remove the depth of ssh !!!
[12377]	448	!!gm i.e. use gde3w in argument (gdepw(:,:,:,Kmm))
[6140]	449
	450
[2528]	451	IF( nn_etau == 1 ) THEN !* penetration below the mixed layer (rn_efr fraction)
[12377]	452	DO_3D_00_00( 2, jpkm1 )
	453	en(ji,jj,jk) = en(ji,jj,jk) + rn_efr * en(ji,jj,1) * EXP( -gdepw(ji,jj,jk,Kmm) / htau(ji,jj) ) &
	454	& * MAX(0.,1._wp - rn_eice fr_i(ji,jj) ) wmask(ji,jj,jk) * tmask(ji,jj,1)
	455	END_3D
[2528]	456	ELSEIF( nn_etau == 2 ) THEN !* act only at the base of the mixed layer (jk=nmln) (rn_efr fraction)
[12377]	457	DO_2D_00_00
	458	jk = nmln(ji,jj)
	459	en(ji,jj,jk) = en(ji,jj,jk) + rn_efr * en(ji,jj,1) * EXP( -gdepw(ji,jj,jk,Kmm) / htau(ji,jj) ) &
	460	& * MAX(0.,1._wp - rn_eice fr_i(ji,jj) ) wmask(ji,jj,jk) * tmask(ji,jj,1)
	461	END_2D
[2528]	462	ELSEIF( nn_etau == 3 ) THEN !* penetration belox the mixed layer (HF variability)
[12377]	463	DO_3D_00_00( 2, jpkm1 )
	464	ztx2 = utau(ji-1,jj ) + utau(ji,jj)
	465	zty2 = vtau(ji ,jj-1) + vtau(ji,jj)
	466	ztau = 0.5_wp * SQRT( ztx2 * ztx2 + zty2 * zty2 ) * tmask(ji,jj,1) ! module of the mean stress
	467	zdif = taum(ji,jj) - ztau ! mean of modulus - modulus of the mean
	468	zdif = rhftau_scl * MAX( 0._wp, zdif + rhftau_add ) ! apply some modifications...
	469	en(ji,jj,jk) = en(ji,jj,jk) + zbbrau * zdif * EXP( -gdepw(ji,jj,jk,Kmm) / htau(ji,jj) ) &
	470	& * MAX(0.,1._wp - rn_eice fr_i(ji,jj) ) wmask(ji,jj,jk) * tmask(ji,jj,1)
	471	END_3D
[1239]	472	ENDIF
[1492]	473	!
[1239]	474	END SUBROUTINE tke_tke
	475
[1492]	476
[12377]	477	SUBROUTINE tke_avn( Kbb, Kmm, p_avm, p_avt )
[1239]	478	!!----------------------------------------------------------------------
[1492]	479	!! * ROUTINE tke_avn *
[1239]	480	!!
[1492]	481	!! ** Purpose : Compute the vertical eddy viscosity and diffusivity
	482	!!
	483	!! ** Method : At this stage, en, the now TKE, is known (computed in
	484	!! the tke_tke routine). First, the now mixing lenth is
	485	!! computed from en and the strafification (N^2), then the mixings
	486	!! coefficients are computed.
	487	!! - Mixing length : a first evaluation of the mixing lengh
	488	!! scales is:
	489	!! mxl = sqrt(2*en) / N
	490	!! where N is the brunt-vaisala frequency, with a minimum value set
[2528]	491	!! to rmxl_min (rn_mxl0) in the interior (surface) ocean.
[1492]	492	!! The mixing and dissipative length scale are bound as follow :
	493	!! nn_mxl=0 : mxl bounded by the distance to surface and bottom.
	494	!! zmxld = zmxlm = mxl
	495	!! nn_mxl=1 : mxl bounded by the e3w and zmxld = zmxlm = mxl
	496	!! nn_mxl=2 : mxl bounded such that the vertical derivative of mxl is
	497	!! less than 1 (\|d/dz(mxl)\|<1) and zmxld = zmxlm = mxl
	498	!! nn_mxl=3 : mxl is bounded from the surface to the bottom usings
	499	!! \|d/dz(xml)\|<1 to obtain lup, and from the bottom to
	500	!! the surface to obtain ldown. the resulting length
	501	!! scales are:
	502	!! zmxld = sqrt( lup * ldown )
	503	!! zmxlm = min ( lup , ldown )
	504	!! - Vertical eddy viscosity and diffusivity:
	505	!! avm = max( avtb, rn_ediff * zmxlm * en^1/2 )
	506	!! avt = max( avmb, pdlr * avm )
	507	!! with pdlr=1 if nn_pdl=0, pdlr=1/pdl=F(Ri) otherwise.
	508	!!
[9019]	509	!! ** Action : - avt, avm : now vertical eddy diffusivity and viscosity (w-point)
[1239]	510	!!----------------------------------------------------------------------
[9019]	511	USE zdf_oce , ONLY : en, avtb, avmb, avtb_2d ! ocean vertical physics
	512	!!
[12377]	513	INTEGER , INTENT(in ) :: Kbb, Kmm ! ocean time level indices
[9019]	514	REAL(wp), DIMENSION(:,:,:), INTENT( out) :: p_avm, p_avt ! vertical eddy viscosity & diffusivity (w-points)
	515	!
[2715]	516	INTEGER :: ji, jj, jk ! dummy loop indices
[9019]	517	REAL(wp) :: zrn2, zraug, zcoef, zav ! local scalars
	518	REAL(wp) :: zdku, zdkv, zsqen ! - -
	519	REAL(wp) :: zemxl, zemlm, zemlp ! - -
	520	REAL(wp), DIMENSION(jpi,jpj,jpk) :: zmxlm, zmxld ! 3D workspace
[1239]	521	!!--------------------------------------------------------------------
[3294]	522	!
[1492]	523	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	524	! ! Mixing length
	525	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	526	!
	527	! !* Buoyancy length scale: l=sqrt(2e/n*2)
	528	!
[5120]	529	! initialisation of interior minimum value (avoid a 2d loop with mikt)
[7753]	530	zmxlm(:,:,:) = rmxl_min
	531	zmxld(:,:,:) = rmxl_min
[5120]	532	!
[12991]	533	IF(ln_sdw .AND. ln_mxhsw) THEN
	534	zmxlm(:,:,1)= vkarmn * MAX ( 1.6 * hsw(:,:) , 0.02 ) ! surface mixing length = F(wave height)
	535	! from terray et al 1999 and mellor and blumberg 2004 it should be 0.85 and not 1.6
	536	zcoef = vkarmn * ( (rn_ediffrn_ediss)*0.25 ) / rn_ediff
	537	zmxlm(:,:,1)= zcoef * MAX ( 1.6 * hsw(:,:) , 0.02 ) ! surface mixing length = F(wave height)
	538	ELSE
	539	IF( ln_mxl0 ) THEN ! surface mixing length = F(stress) : l=vkarmn2.e5taum/(rho0*g)
	540	zraug = vkarmn * 2.e5_wp / ( rho0 * grav )
	541	DO_2D_00_00
	542	zmxlm(ji,jj,1) = MAX( rn_mxl0, zraug * taum(ji,jj) * tmask(ji,jj,1) )
	543	END_2D
	544	ELSE
	545	zmxlm(:,:,1) = rn_mxl0
	546	ENDIF
[1239]	547	ENDIF
	548	!
[12377]	549	DO_3D_00_00( 2, jpkm1 )
	550	zrn2 = MAX( rn2(ji,jj,jk), rsmall )
	551	zmxlm(ji,jj,jk) = MAX( rmxl_min, SQRT( 2._wp * en(ji,jj,jk) / zrn2 ) )
	552	END_3D
[1492]	553	!
	554	! !* Physical limits for the mixing length
	555	!
[7753]	556	zmxld(:,:, 1 ) = zmxlm(:,:,1) ! surface set to the minimum value
	557	zmxld(:,:,jpk) = rmxl_min ! last level set to the minimum value
[1492]	558	!
[1239]	559	SELECT CASE ( nn_mxl )
	560	!
[5836]	561	!!gm Not sure of that coding for ISF....
[12377]	562	! where wmask = 0 set zmxlm == e3w(:,:,:,Kmm)
[1239]	563	CASE ( 0 ) ! bounded by the distance to surface and bottom
[12377]	564	DO_3D_00_00( 2, jpkm1 )
	565	zemxl = MIN( gdepw(ji,jj,jk,Kmm) - gdepw(ji,jj,mikt(ji,jj),Kmm), zmxlm(ji,jj,jk), &
	566	& gdepw(ji,jj,mbkt(ji,jj)+1,Kmm) - gdepw(ji,jj,jk,Kmm) )
	567	! wmask prevent zmxlm = 0 if jk = mikt(ji,jj)
	568	zmxlm(ji,jj,jk) = zemxl * wmask(ji,jj,jk) + MIN( zmxlm(ji,jj,jk) , e3w(ji,jj,jk,Kmm) ) * (1 - wmask(ji,jj,jk))
	569	zmxld(ji,jj,jk) = zemxl * wmask(ji,jj,jk) + MIN( zmxlm(ji,jj,jk) , e3w(ji,jj,jk,Kmm) ) * (1 - wmask(ji,jj,jk))
	570	END_3D
[1239]	571	!
	572	CASE ( 1 ) ! bounded by the vertical scale factor
[12377]	573	DO_3D_00_00( 2, jpkm1 )
	574	zemxl = MIN( e3w(ji,jj,jk,Kmm), zmxlm(ji,jj,jk) )
	575	zmxlm(ji,jj,jk) = zemxl
	576	zmxld(ji,jj,jk) = zemxl
	577	END_3D
[1239]	578	!
	579	CASE ( 2 ) ! \|dk[xml]\| bounded by e3t :
[12377]	580	DO_3D_00_00( 2, jpkm1 )
	581	zmxlm(ji,jj,jk) = MIN( zmxlm(ji,jj,jk-1) + e3t(ji,jj,jk-1,Kmm), zmxlm(ji,jj,jk) )
	582	END_3D
	583	DO_3DS_00_00( jpkm1, 2, -1 )
	584	zemxl = MIN( zmxlm(ji,jj,jk+1) + e3t(ji,jj,jk+1,Kmm), zmxlm(ji,jj,jk) )
	585	zmxlm(ji,jj,jk) = zemxl
	586	zmxld(ji,jj,jk) = zemxl
	587	END_3D
[1239]	588	!
	589	CASE ( 3 ) ! lup and ldown, \|dk[xml]\| bounded by e3t :
[12377]	590	DO_3D_00_00( 2, jpkm1 )
	591	zmxld(ji,jj,jk) = MIN( zmxld(ji,jj,jk-1) + e3t(ji,jj,jk-1,Kmm), zmxlm(ji,jj,jk) )
	592	END_3D
	593	DO_3DS_00_00( jpkm1, 2, -1 )
	594	zmxlm(ji,jj,jk) = MIN( zmxlm(ji,jj,jk+1) + e3t(ji,jj,jk+1,Kmm), zmxlm(ji,jj,jk) )
	595	END_3D
	596	DO_3D_00_00( 2, jpkm1 )
	597	zemlm = MIN ( zmxld(ji,jj,jk), zmxlm(ji,jj,jk) )
	598	zemlp = SQRT( zmxld(ji,jj,jk) * zmxlm(ji,jj,jk) )
	599	zmxlm(ji,jj,jk) = zemlm
	600	zmxld(ji,jj,jk) = zemlp
	601	END_3D
[1239]	602	!
	603	END SELECT
[1492]	604	!
	605	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[9019]	606	! ! Vertical eddy viscosity and diffusivity (avm and avt)
[1492]	607	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[12377]	608	DO_3D_00_00( 1, jpkm1 )
	609	zsqen = SQRT( en(ji,jj,jk) )
	610	zav = rn_ediff * zmxlm(ji,jj,jk) * zsqen
	611	p_avm(ji,jj,jk) = MAX( zav, avmb(jk) ) * wmask(ji,jj,jk)
	612	p_avt(ji,jj,jk) = MAX( zav, avtb_2d(ji,jj) * avtb(jk) ) * wmask(ji,jj,jk)
	613	dissl(ji,jj,jk) = zsqen / zmxld(ji,jj,jk)
	614	END_3D
[1492]	615	!
	616	!
	617	IF( nn_pdl == 1 ) THEN !* Prandtl number case: update avt
[12377]	618	DO_3D_00_00( 2, jpkm1 )
[12698]	619	p_avt(ji,jj,jk) = MAX( apdlr(ji,jj,jk) * p_avt(ji,jj,jk), avtb_2d(ji,jj) * avtb(jk) ) * wmask(ji,jj,jk)
[12377]	620	END_3D
[1239]	621	ENDIF
[9019]	622	!
[12377]	623	IF(sn_cfctl%l_prtctl) THEN
[9440]	624	CALL prt_ctl( tab3d_1=en , clinfo1=' tke - e: ', tab3d_2=p_avt, clinfo2=' t: ', kdim=jpk)
	625	CALL prt_ctl( tab3d_1=p_avm, clinfo1=' tke - m: ', kdim=jpk )
[1239]	626	ENDIF
	627	!
[1492]	628	END SUBROUTINE tke_avn
[1239]	629
[1492]	630
[12377]	631	SUBROUTINE zdf_tke_init( Kmm )
[1239]	632	!!----------------------------------------------------------------------
[2528]	633	!! * ROUTINE zdf_tke_init *
[1239]	634	!!
	635	!! ** Purpose : Initialization of the vertical eddy diffivity and
[1492]	636	!! viscosity when using a tke turbulent closure scheme
[1239]	637	!!
[1601]	638	!! ** Method : Read the namzdf_tke namelist and check the parameters
[1492]	639	!! called at the first timestep (nit000)
[1239]	640	!!
[1601]	641	!! ** input : Namlist namzdf_tke
[1239]	642	!!
	643	!! ** Action : Increase by 1 the nstop flag is setting problem encounter
	644	!!----------------------------------------------------------------------
[9019]	645	USE zdf_oce , ONLY : ln_zdfiwm ! Internal Wave Mixing flag
	646	!!
[12377]	647	INTEGER, INTENT(in) :: Kmm ! time level index
	648	INTEGER :: ji, jj, jk ! dummy loop indices
	649	INTEGER :: ios
[1239]	650	!!
[9019]	651	NAMELIST/namzdf_tke/ rn_ediff, rn_ediss , rn_ebb , rn_emin , &
	652	& rn_emin0, rn_bshear, nn_mxl , ln_mxl0 , &
	653	& rn_mxl0 , nn_pdl , ln_drg , ln_lc , rn_lc, &
[12991]	654	& nn_etau , nn_htau , rn_efr , rn_eice , &
	655	& nn_bc_surf, nn_bc_bot, ln_mxhsw
[1239]	656	!!----------------------------------------------------------------------
[2715]	657	!
[4147]	658	READ ( numnam_ref, namzdf_tke, IOSTAT = ios, ERR = 901)
[11536]	659	901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_tke in reference namelist' )
[4147]	660
	661	READ ( numnam_cfg, namzdf_tke, IOSTAT = ios, ERR = 902 )
[11536]	662	902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namzdf_tke in configuration namelist' )
[4624]	663	IF(lwm) WRITE ( numond, namzdf_tke )
[2715]	664	!
[2528]	665	ri_cri = 2._wp / ( 2._wp + rn_ediss / rn_ediff ) ! resulting critical Richardson number
[2715]	666	!
[1492]	667	IF(lwp) THEN !* Control print
[1239]	668	WRITE(numout,*)
[2528]	669	WRITE(numout,*) 'zdf_tke_init : tke turbulent closure scheme - initialisation'
	670	WRITE(numout,*) '~~~~~~~~~~~~'
[1601]	671	WRITE(numout,*) ' Namelist namzdf_tke : set tke mixing parameters'
[1705]	672	WRITE(numout,*) ' coef. to compute avt rn_ediff = ', rn_ediff
	673	WRITE(numout,*) ' Kolmogoroff dissipation coef. rn_ediss = ', rn_ediss
	674	WRITE(numout,*) ' tke surface input coef. rn_ebb = ', rn_ebb
	675	WRITE(numout,*) ' minimum value of tke rn_emin = ', rn_emin
	676	WRITE(numout,*) ' surface minimum value of tke rn_emin0 = ', rn_emin0
[9019]	677	WRITE(numout,*) ' prandl number flag nn_pdl = ', nn_pdl
[1705]	678	WRITE(numout,*) ' background shear (>0) rn_bshear = ', rn_bshear
	679	WRITE(numout,*) ' mixing length type nn_mxl = ', nn_mxl
[9019]	680	WRITE(numout,*) ' surface mixing length = F(stress) or not ln_mxl0 = ', ln_mxl0
	681	WRITE(numout,*) ' surface mixing length minimum value rn_mxl0 = ', rn_mxl0
	682	WRITE(numout,*) ' top/bottom friction forcing flag ln_drg = ', ln_drg
	683	WRITE(numout,*) ' Langmuir cells parametrization ln_lc = ', ln_lc
	684	WRITE(numout,*) ' coef to compute vertical velocity of LC rn_lc = ', rn_lc
[1705]	685	WRITE(numout,*) ' test param. to add tke induced by wind nn_etau = ', nn_etau
[9019]	686	WRITE(numout,*) ' type of tke penetration profile nn_htau = ', nn_htau
	687	WRITE(numout,*) ' fraction of TKE that penetrates rn_efr = ', rn_efr
[9546]	688	WRITE(numout,*) ' below sea-ice: =0 ON rn_eice = ', rn_eice
	689	WRITE(numout,*) ' =4 OFF when ice fraction > 1/4 '
[9019]	690	IF( ln_drg ) THEN
[9169]	691	WRITE(numout,*)
[9019]	692	WRITE(numout,*) ' Namelist namdrg_top/_bot: used values:'
	693	WRITE(numout,*) ' top ocean cavity roughness (m) rn_z0(_top)= ', r_z0_top
	694	WRITE(numout,*) ' Bottom seafloor roughness (m) rn_z0(_bot)= ', r_z0_bot
	695	ENDIF
	696	WRITE(numout,*)
[9190]	697	WRITE(numout,*) ' ==>>> critical Richardson nb with your parameters ri_cri = ', ri_cri
[9019]	698	WRITE(numout,*)
[1239]	699	ENDIF
[2715]	700	!
[9019]	701	IF( ln_zdfiwm ) THEN ! Internal wave-driven mixing
	702	rn_emin = 1.e-10_wp ! specific values of rn_emin & rmxl_min are used
	703	rmxl_min = 1.e-03_wp ! associated avt minimum = molecular salt diffusivity (10^-9 m2/s)
[9190]	704	IF(lwp) WRITE(numout,*) ' ==>>> Internal wave-driven mixing case: force rn_emin = 1.e-10 and rmxl_min = 1.e-3'
[9019]	705	ELSE ! standard case : associated avt minimum = molecular viscosity (10^-6 m2/s)
	706	rmxl_min = 1.e-6_wp / ( rn_ediff * SQRT( rn_emin ) ) ! resulting minimum length to recover molecular viscosity
[9190]	707	IF(lwp) WRITE(numout,*) ' ==>>> minimum mixing length with your parameters rmxl_min = ', rmxl_min
[9019]	708	ENDIF
	709	!
[2715]	710	! ! allocate tke arrays
	711	IF( zdf_tke_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_tke_init : unable to allocate arrays' )
	712	!
[1492]	713	! !* Check of some namelist values
[4990]	714	IF( nn_mxl < 0 .OR. nn_mxl > 3 ) CALL ctl_stop( 'bad flag: nn_mxl is 0, 1 or 2 ' )
	715	IF( nn_pdl < 0 .OR. nn_pdl > 1 ) CALL ctl_stop( 'bad flag: nn_pdl is 0 or 1 ' )
	716	IF( nn_htau < 0 .OR. nn_htau > 1 ) CALL ctl_stop( 'bad flag: nn_htau is 0, 1 or 2 ' )
[5407]	717	IF( nn_etau == 3 .AND. .NOT. ln_cpl ) CALL ctl_stop( 'nn_etau == 3 : HF taum only known in coupled mode' )
[9019]	718	!
[2528]	719	IF( ln_mxl0 ) THEN
[9169]	720	IF(lwp) WRITE(numout,*)
[9190]	721	IF(lwp) WRITE(numout,*) ' ==>>> use a surface mixing length = F(stress) : set rn_mxl0 = rmxl_min'
[2528]	722	rn_mxl0 = rmxl_min
	723	ENDIF
	724
[12377]	725	IF( nn_etau == 2 ) CALL zdf_mxl( nit000, Kmm ) ! Initialization of nmln
[1239]	726
[1492]	727	! !* depth of penetration of surface tke
	728	IF( nn_etau /= 0 ) THEN
[1601]	729	SELECT CASE( nn_htau ) ! Choice of the depth of penetration
[2528]	730	CASE( 0 ) ! constant depth penetration (here 10 meters)
[7753]	731	htau(:,:) = 10._wp
[2528]	732	CASE( 1 ) ! F(latitude) : 0.5m to 30m poleward of 40 degrees
[7753]	733	htau(:,:) = MAX( 0.5_wp, MIN( 30._wp, 45._wp* ABS( SIN( rpi/180._wp * gphit(:,:) ) ) ) )
[1492]	734	END SELECT
	735	ENDIF
[9019]	736	! !* read or initialize all required files
	737	CALL tke_rst( nit000, 'READ' ) ! (en, avt_k, avm_k, dissl)
[1239]	738	!
[9367]	739	IF( lwxios ) THEN
	740	CALL iom_set_rstw_var_active('en')
	741	CALL iom_set_rstw_var_active('avt_k')
	742	CALL iom_set_rstw_var_active('avm_k')
	743	CALL iom_set_rstw_var_active('dissl')
	744	ENDIF
[2528]	745	END SUBROUTINE zdf_tke_init
[1239]	746
	747
[1531]	748	SUBROUTINE tke_rst( kt, cdrw )
[9019]	749	!!---------------------------------------------------------------------
	750	!! * ROUTINE tke_rst *
	751	!!
	752	!! ** Purpose : Read or write TKE file (en) in restart file
	753	!!
	754	!! ** Method : use of IOM library
	755	!! if the restart does not contain TKE, en is either
	756	!! set to rn_emin or recomputed
	757	!!----------------------------------------------------------------------
	758	USE zdf_oce , ONLY : en, avt_k, avm_k ! ocean vertical physics
	759	!!
	760	INTEGER , INTENT(in) :: kt ! ocean time-step
	761	CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag
	762	!
	763	INTEGER :: jit, jk ! dummy loop indices
	764	INTEGER :: id1, id2, id3, id4 ! local integers
	765	!!----------------------------------------------------------------------
	766	!
	767	IF( TRIM(cdrw) == 'READ' ) THEN ! Read/initialise
	768	! ! ---------------
	769	IF( ln_rstart ) THEN !* Read the restart file
	770	id1 = iom_varid( numror, 'en' , ldstop = .FALSE. )
	771	id2 = iom_varid( numror, 'avt_k', ldstop = .FALSE. )
	772	id3 = iom_varid( numror, 'avm_k', ldstop = .FALSE. )
	773	id4 = iom_varid( numror, 'dissl', ldstop = .FALSE. )
	774	!
	775	IF( MIN( id1, id2, id3, id4 ) > 0 ) THEN ! fields exist
[9367]	776	CALL iom_get( numror, jpdom_autoglo, 'en' , en , ldxios = lrxios )
	777	CALL iom_get( numror, jpdom_autoglo, 'avt_k', avt_k, ldxios = lrxios )
	778	CALL iom_get( numror, jpdom_autoglo, 'avm_k', avm_k, ldxios = lrxios )
	779	CALL iom_get( numror, jpdom_autoglo, 'dissl', dissl, ldxios = lrxios )
[9019]	780	ELSE ! start TKE from rest
[9169]	781	IF(lwp) WRITE(numout,*)
[9190]	782	IF(lwp) WRITE(numout,*) ' ==>>> previous run without TKE scheme, set en to background values'
[9019]	783	en (:,:,:) = rn_emin * wmask(:,:,:)
	784	dissl(:,:,:) = 1.e-12_wp
	785	! avt_k, avm_k already set to the background value in zdf_phy_init
	786	ENDIF
	787	ELSE !* Start from rest
[9169]	788	IF(lwp) WRITE(numout,*)
[9190]	789	IF(lwp) WRITE(numout,*) ' ==>>> start from rest: set en to the background value'
[9019]	790	en (:,:,:) = rn_emin * wmask(:,:,:)
	791	dissl(:,:,:) = 1.e-12_wp
	792	! avt_k, avm_k already set to the background value in zdf_phy_init
	793	ENDIF
	794	!
	795	ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN ! Create restart file
	796	! ! -------------------
[9169]	797	IF(lwp) WRITE(numout,*) '---- tke_rst ----'
[9367]	798	IF( lwxios ) CALL iom_swap( cwxios_context )
	799	CALL iom_rstput( kt, nitrst, numrow, 'en' , en , ldxios = lwxios )
	800	CALL iom_rstput( kt, nitrst, numrow, 'avt_k', avt_k, ldxios = lwxios )
	801	CALL iom_rstput( kt, nitrst, numrow, 'avm_k', avm_k, ldxios = lwxios )
	802	CALL iom_rstput( kt, nitrst, numrow, 'dissl', dissl, ldxios = lwxios )
	803	IF( lwxios ) CALL iom_swap( cxios_context )
[9019]	804	!
	805	ENDIF
	806	!
[1531]	807	END SUBROUTINE tke_rst
[1239]	808
	809	!!======================================================================
[1531]	810	END MODULE zdftke

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