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zdftke.F90 in trunk/NEMO/OPA_SRC/ZDF – NEMO

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source: trunk/NEMO/OPA_SRC/ZDF/zdftke.F90 @ 1537

Last change on this file since 1537 was 1537, checked in by ctlod, 15 years ago
ensure the restartability of the 2nd order advection scheme,see ticket: 489
File size: 40.8 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
[1239]	27	!!----------------------------------------------------------------------
[1531]	28	#if defined key_zdftke \|\| defined key_esopa
[1239]	29	!!----------------------------------------------------------------------
[1531]	30	!! 'key_zdftke' TKE vertical physics
[1239]	31	!!----------------------------------------------------------------------
[1531]	32	!! zdf_tke : update momentum and tracer Kz from a tke scheme
[1492]	33	!! tke_tke : tke time stepping: update tke at now time step (en)
	34	!! tke_avn : compute mixing length scale and deduce avm and avt
	35	!! tke_init : initialization, namelist read, and parameters control
[1531]	36	!! tke_rst : read/write tke restart in ocean restart file
[1239]	37	!!----------------------------------------------------------------------
[1492]	38	USE oce ! ocean dynamics and active tracers
	39	USE dom_oce ! ocean space and time domain
	40	USE domvvl ! ocean space and time domain : variable volume layer
	41	USE zdf_oce ! ocean vertical physics
	42	USE sbc_oce ! surface boundary condition: ocean
	43	USE phycst ! physical constants
	44	USE zdfmxl ! mixed layer
	45	USE restart ! only for lrst_oce
	46	USE lbclnk ! ocean lateral boundary conditions (or mpp link)
	47	USE prtctl ! Print control
	48	USE in_out_manager ! I/O manager
	49	USE iom ! I/O manager library
[1239]	50
	51	IMPLICIT NONE
	52	PRIVATE
	53
[1531]	54	PUBLIC zdf_tke ! routine called in step module
	55	PUBLIC tke_rst ! routine called in step module
[1239]	56
[1531]	57	LOGICAL , PUBLIC, PARAMETER :: lk_zdftke = .TRUE. !: TKE vertical mixing flag
[1239]	58
	59	#if defined key_c1d
[1492]	60	! !!* 1D cfg only *
[1239]	61	REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: e_dis, e_mix !: dissipation and mixing turbulent lengh scales
	62	REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: e_pdl, e_ric !: prandl and local Richardson numbers
	63	#endif
	64
[1537]	65	! !!! Namelist nam_tke
[1239]	66	LOGICAL :: ln_mxl0 = .FALSE. ! mixing length scale surface value as function of wind stress or not
	67	INTEGER :: nn_mxl = 2 ! type of mixing length (=0/1/2/3)
[1492]	68	REAL(wp) :: rn_lmin0 = 0.4_wp ! surface min value of mixing length [m]
	69	REAL(wp) :: rn_lmin = 0.1_wp ! interior min value of mixing length [m]
[1239]	70	INTEGER :: nn_pdl = 1 ! Prandtl number or not (ratio avt/avm) (=0/1)
	71	REAL(wp) :: rn_ediff = 0.1_wp ! coefficient for avt: avt=rn_ediffmxlsqrt(e)
	72	REAL(wp) :: rn_ediss = 0.7_wp ! coefficient of the Kolmogoroff dissipation
	73	REAL(wp) :: rn_ebb = 3.75_wp ! coefficient of the surface input of tke
[1492]	74	REAL(wp) :: rn_emin = 0.7071e-6_wp ! minimum value of tke [m2/s2]
	75	REAL(wp) :: rn_emin0 = 1.e-4_wp ! surface minimum value of tke [m2/s2]
[1537]	76	REAL(wp) :: rn_bshear= 1.e-20 ! background shear (>0)
[1239]	77	INTEGER :: nn_etau = 0 ! type of depth penetration of surface tke (=0/1/2)
	78	INTEGER :: nn_htau = 0 ! type of tke profile of penetration (=0/1/2)
	79	REAL(wp) :: rn_efr = 1.0_wp ! fraction of TKE surface value which penetrates in the ocean
[1492]	80	LOGICAL :: ln_lc = .FALSE. ! Langmuir cells (LC) as a source term of TKE or not
[1239]	81	REAL(wp) :: rn_lc = 0.15_wp ! coef to compute vertical velocity of Langmuir cells
	82
[1492]	83	REAL(wp) :: ri_cri ! critic Richardson number (deduced from rn_ediff and rn_ediss values)
[1239]	84
[1492]	85	REAL(wp), DIMENSION(jpi,jpj) :: htau ! depth of tke penetration (nn_htau)
	86	REAL(wp), DIMENSION(jpi,jpj,jpk) :: en ! now turbulent kinetic energy [m2/s2]
	87	REAL(wp), DIMENSION(jpi,jpj,jpk) :: dissl ! now mixing lenght of dissipation
	88
[1239]	89	!! * Substitutions
	90	# include "domzgr_substitute.h90"
	91	# include "vectopt_loop_substitute.h90"
	92	!!----------------------------------------------------------------------
[1492]	93	!! NEMO/OPA 3.2 , LOCEAN-IPSL (2009)
[1537]	94	!! $Id: zdftke2.F90 1201 2008-09-24 13:24:21Z rblod $
[1239]	95	!! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt)
	96	!!----------------------------------------------------------------------
	97
	98	CONTAINS
	99
[1531]	100	SUBROUTINE zdf_tke( kt )
[1239]	101	!!----------------------------------------------------------------------
[1531]	102	!! * ROUTINE zdf_tke *
[1239]	103	!!
	104	!! ** Purpose : Compute the vertical eddy viscosity and diffusivity
[1492]	105	!! coefficients using a turbulent closure scheme (TKE).
[1239]	106	!!
[1492]	107	!! ** Method : The time evolution of the turbulent kinetic energy (tke)
	108	!! is computed from a prognostic equation :
	109	!! d(en)/dt = avm (d(u)/dz)**2 ! shear production
	110	!! + d( avm d(en)/dz )/dz ! diffusion of tke
	111	!! + avt N^2 ! stratif. destruc.
	112	!! - rn_ediss / emxl en**(2/3) ! Kolmogoroff dissipation
[1239]	113	!! with the boundary conditions:
	114	!! surface: en = max( rn_emin0, rn_ebb sqrt(utau^2 + vtau^2) )
	115	!! bottom : en = rn_emin
[1492]	116	!! The associated critical Richardson number is: ri_cri = 2/(2+rn_ediss/rn_ediff)
	117	!!
	118	!! The now Turbulent kinetic energy is computed using the following
	119	!! time stepping: implicit for vertical diffusion term, linearized semi
	120	!! implicit for kolmogoroff dissipation term, and explicit forward for
	121	!! both buoyancy and shear production terms. Therefore a tridiagonal
	122	!! linear system is solved. Note that buoyancy and shear terms are
	123	!! discretized in a energy conserving form (Bruchard 2002).
	124	!!
	125	!! The dissipative and mixing length scale are computed from en and
	126	!! the stratification (see tke_avn)
	127	!!
	128	!! The now vertical eddy vicosity and diffusivity coefficients are
	129	!! given by:
	130	!! avm = max( avtb, rn_ediff * zmxlm * en^1/2 )
	131	!! avt = max( avmb, pdl * avm )
[1239]	132	!! eav = max( avmb, avm )
[1492]	133	!! where pdl, the inverse of the Prandtl number is 1 if nn_pdl=0 and
	134	!! given by an empirical funtion of the localRichardson number if nn_pdl=1
[1239]	135	!!
	136	!! ** Action : compute en (now turbulent kinetic energy)
	137	!! update avt, avmu, avmv (before vertical eddy coef.)
	138	!!
	139	!! References : Gaspar et al., JGR, 1990,
	140	!! Blanke and Delecluse, JPO, 1991
	141	!! Mellor and Blumberg, JPO 2004
	142	!! Axell, JGR, 2002
[1492]	143	!! Bruchard OM 2002
[1239]	144	!!----------------------------------------------------------------------
[1492]	145	INTEGER, INTENT(in) :: kt ! ocean time step
	146	!!----------------------------------------------------------------------
[1481]	147	!
[1492]	148	IF( kt == nit000 ) CALL tke_init ! initialisation
	149	!
	150	CALL tke_tke ! now tke (en)
	151	!
	152	CALL tke_avn ! now avt, avm, avmu, avmv
	153	!
[1531]	154	END SUBROUTINE zdf_tke
[1239]	155
[1492]	156
[1481]	157	SUBROUTINE tke_tke
[1239]	158	!!----------------------------------------------------------------------
[1492]	159	!! * ROUTINE tke_tke *
	160	!!
	161	!! ** Purpose : Compute the now Turbulente Kinetic Energy (TKE)
	162	!!
	163	!! ** Method : - TKE surface boundary condition
	164	!! - source term due to Langmuir cells (ln_lc=T)
	165	!! - source term due to shear (saved in avmu, avmv arrays)
	166	!! - Now TKE : resolution of the TKE equation by inverting
	167	!! a tridiagonal linear system by a "methode de chasse"
	168	!! - increase TKE due to surface and internal wave breaking
	169	!!
	170	!! ** Action : - en : now turbulent kinetic energy)
	171	!! - avmu, avmv : production of TKE by shear at u and v-points
	172	!! (= Kz dz[Ub] * dz[Un] )
[1239]	173	!! ---------------------------------------------------------------------
[1492]	174	USE oce, zdiag => ua ! use ua as workspace
	175	USE oce, zd_up => va ! use va as workspace
	176	USE oce, zd_lw => ta ! use ta as workspace
	177	!!
	178	INTEGER :: ji, jj, jk ! dummy loop arguments
	179	REAL(wp) :: zbbrau, zesurf, zesh2 ! temporary scalars
	180	REAL(wp) :: zfact1, zfact2, zfact3 ! - -
	181	REAL(wp) :: ztx2 , zty2 , zcof ! - -
	182	REAL(wp) :: zus , zwlc , zind ! - -
	183	REAL(wp) :: zzd_up, zzd_lw ! - -
[1239]	184	INTEGER , DIMENSION(jpi,jpj) :: imlc ! 2D workspace
	185	REAL(wp), DIMENSION(jpi,jpj) :: zhlc ! - -
	186	REAL(wp), DIMENSION(jpi,jpj,jpk) :: zpelc ! 3D workspace
	187	!!--------------------------------------------------------------------
[1492]	188	!
	189	zbbrau = .5 * rn_ebb / rau0 ! Local constant initialisation
	190	zfact1 = -.5 * rdt
[1239]	191	zfact2 = 1.5 * rdt * rn_ediss
[1481]	192	zfact3 = 0.5 * rn_ediss
[1492]	193	!
	194	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	195	! ! Surface boundary condition on tke
	196	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[1481]	197	!CDIR NOVERRCHK
[1492]	198	DO jj = 2, jpjm1 ! en(1) = rn_ebb sqrt(utau^2+vtau^2) / rau0 (min value rn_emin0)
[1481]	199	!CDIR NOVERRCHK
	200	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	201	ztx2 = utau(ji-1,jj ) + utau(ji,jj)
	202	zty2 = vtau(ji ,jj-1) + vtau(ji,jj)
[1481]	203	zesurf = zbbrau * SQRT( ztx2 * ztx2 + zty2 * zty2 )
	204	en(ji,jj,1) = MAX( zesurf, rn_emin0 ) * tmask(ji,jj,1)
	205	END DO
	206	END DO
[1492]	207	!
	208	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	209	! ! Bottom boundary condition on tke
	210	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	211	!!gm to be added soon
	212	!
	213	!
	214	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	215	IF( ln_lc ) THEN ! Langmuir circulation source term added to tke
	216	! !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
[1239]	217	!
[1492]	218	! !* total energy produce by LC : cumulative sum over jk
[1481]	219	zpelc(:,:,1) = MAX( rn2b(:,:,1), 0. ) * fsdepw(:,:,1) * fse3w(:,:,1)
[1239]	220	DO jk = 2, jpk
[1481]	221	zpelc(:,:,jk) = zpelc(:,:,jk-1) + MAX( rn2b(:,:,jk), 0. ) * fsdepw(:,:,jk) * fse3w(:,:,jk)
[1239]	222	END DO
[1492]	223	! !* finite Langmuir Circulation depth
	224	imlc(:,:) = mbathy(:,:) ! Initialization to the number of w ocean point mbathy
[1239]	225	DO jk = jpkm1, 2, -1
[1492]	226	DO jj = 1, jpj ! Last w-level at which zpelc>=0.5usus
	227	DO ji = 1, jpi ! with us=0.016*wind(starting from jpk-1)
[1239]	228	zus = 0.000128 * wndm(ji,jj) * wndm(ji,jj)
	229	IF( zpelc(ji,jj,jk) > zus ) imlc(ji,jj) = jk
	230	END DO
	231	END DO
	232	END DO
[1492]	233	! ! finite LC depth
	234	# if defined key_vectopt_loop
	235	DO jj = 1, 1
	236	DO ji = 1, jpij ! vector opt. (forced unrolling)
	237	# else
	238	DO jj = 1, jpj
[1239]	239	DO ji = 1, jpi
[1492]	240	# endif
[1239]	241	zhlc(ji,jj) = fsdepw(ji,jj,imlc(ji,jj))
	242	END DO
	243	END DO
	244	# if defined key_c1d
	245	hlc(:,:) = zhlc(:,:) * tmask(:,:,1) ! c1d configuration: save finite Langmuir Circulation depth
	246	# endif
	247	!CDIR NOVERRCHK
[1492]	248	DO jk = 2, jpkm1 !* TKE Langmuir circulation source term added to en
[1239]	249	!CDIR NOVERRCHK
	250	DO jj = 2, jpjm1
	251	!CDIR NOVERRCHK
	252	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	253	!!gm replace here wndn by a formulation with the stress module
	254	zus = 0.016 * wndm(ji,jj) ! Stokes drift
	255	! ! vertical velocity due to LC
[1239]	256	zind = 0.5 - SIGN( 0.5, fsdepw(ji,jj,jk) - zhlc(ji,jj) )
	257	zwlc = zind * rn_lc * zus * SIN( rpi * fsdepw(ji,jj,jk) / zhlc(ji,jj) )
[1492]	258	! ! TKE Langmuir circulation source term
	259	en(ji,jj,jk) = en(ji,jj,jk) + rdt * ( zwlc * zwlc * zwlc ) / zhlc(ji,jj) * tmask(ji,jj,jk)
[1239]	260	END DO
	261	END DO
	262	END DO
	263	!
	264	ENDIF
[1492]	265	!
	266	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	267	! ! Now Turbulent kinetic energy (output in en)
	268	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	269	! ! Resolution of a tridiagonal linear system by a "methode de chasse"
	270	! ! computation from level 2 to jpkm1 (e(1) already computed and e(jpk)=0 ).
	271	! ! zdiag : diagonal zd_up : upper diagonal zd_lw : lower diagonal
	272	!
	273	DO jk = 2, jpkm1 !* Shear production at uw- and vw-points (energy conserving form)
	274	DO jj = 1, jpj ! here avmu, avmv used as workspace
	275	DO ji = 1, jpi
	276	avmu(ji,jj,jk) = avmu(ji,jj,jk) * ( un(ji,jj,jk-1) - un(ji,jj,jk) ) &
	277	& * ( ub(ji,jj,jk-1) - ub(ji,jj,jk) ) &
	278	& / ( fse3uw_n(ji,jj,jk) &
	279	& * fse3uw_b(ji,jj,jk) )
	280	avmv(ji,jj,jk) = avmv(ji,jj,jk) * ( vn(ji,jj,jk-1) - vn(ji,jj,jk) ) &
	281	& * ( vb(ji,jj,jk-1) - vb(ji,jj,jk) ) &
	282	& / ( fse3vw_n(ji,jj,jk) &
	283	& * fse3vw_b(ji,jj,jk) )
	284	END DO
	285	END DO
	286	END DO
	287	!
	288	DO jk = 2, jpkm1 !* Matrix and right hand side in en
[1239]	289	DO jj = 2, jpjm1
	290	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	291	zcof = zfact1 * tmask(ji,jj,jk)
	292	zzd_up = zcof * ( avm (ji,jj,jk+1) + avm (ji,jj,jk ) ) & ! upper diagonal
	293	& / ( fse3t(ji,jj,jk ) * fse3w(ji,jj,jk ) )
	294	zzd_lw = zcof * ( avm (ji,jj,jk ) + avm (ji,jj,jk-1) ) & ! lower diagonal
	295	& / ( fse3t(ji,jj,jk-1) * fse3w(ji,jj,jk ) )
	296	! ! shear prod. at w-point weightened by mask
[1481]	297	zesh2 = ( avmu(ji-1,jj,jk) + avmu(ji,jj,jk) ) / MAX( 1.e0 , umask(ji-1,jj,jk) + umask(ji,jj,jk) ) &
	298	& + ( avmv(ji,jj-1,jk) + avmv(ji,jj,jk) ) / MAX( 1.e0 , vmask(ji,jj-1,jk) + vmask(ji,jj,jk) )
[1492]	299	!
	300	zd_up(ji,jj,jk) = zzd_up ! Matrix (zdiag, zd_up, zd_lw)
	301	zd_lw(ji,jj,jk) = zzd_lw
	302	zdiag(ji,jj,jk) = 1.e0 - zzd_lw - zzd_up + zfact2 * dissl(ji,jj,jk) * tmask(ji,jj,jk)
[1239]	303	!
[1492]	304	! ! right hand side in en
[1481]	305	en(ji,jj,jk) = en(ji,jj,jk) + rdt * ( zesh2 - avt(ji,jj,jk) * rn2(ji,jj,jk) &
	306	& + zfact3 * dissl(ji,jj,jk) * en (ji,jj,jk) ) * tmask(ji,jj,jk)
[1239]	307	END DO
	308	END DO
	309	END DO
[1492]	310	! !* Matrix inversion from level 2 (tke prescribed at level 1)
[1239]	311	DO jk = 3, jpkm1 ! First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1
	312	DO jj = 2, jpjm1
	313	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	314	zdiag(ji,jj,jk) = zdiag(ji,jj,jk) - zd_lw(ji,jj,jk) * zd_up(ji,jj,jk-1) / zdiag(ji,jj,jk-1)
[1239]	315	END DO
	316	END DO
	317	END DO
	318	DO jj = 2, jpjm1 ! Second recurrence : Lk = RHSk - Lk / Dk-1 * Lk-1
	319	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	320	zd_lw(ji,jj,2) = en(ji,jj,2) - zd_lw(ji,jj,2) * en(ji,jj,1) ! Surface boudary conditions on tke
[1239]	321	END DO
	322	END DO
	323	DO jk = 3, jpkm1
	324	DO jj = 2, jpjm1
	325	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	326	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)
[1239]	327	END DO
	328	END DO
	329	END DO
	330	DO jj = 2, jpjm1 ! thrid recurrence : Ek = ( Lk - Uk * Ek+1 ) / Dk
	331	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	332	en(ji,jj,jpkm1) = zd_lw(ji,jj,jpkm1) / zdiag(ji,jj,jpkm1)
[1239]	333	END DO
	334	END DO
	335	DO jk = jpk-2, 2, -1
	336	DO jj = 2, jpjm1
	337	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	338	en(ji,jj,jk) = ( zd_lw(ji,jj,jk) - zd_up(ji,jj,jk) * en(ji,jj,jk+1) ) / zdiag(ji,jj,jk)
[1239]	339	END DO
	340	END DO
	341	END DO
	342	DO jk = 2, jpkm1 ! set the minimum value of tke
	343	DO jj = 2, jpjm1
	344	DO ji = fs_2, fs_jpim1 ! vector opt.
	345	en(ji,jj,jk) = MAX( en(ji,jj,jk), rn_emin ) * tmask(ji,jj,jk)
	346	END DO
	347	END DO
	348	END DO
	349
[1492]	350	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	351	! ! TKE due to surface and internal wave breaking
	352	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	353	IF( nn_etau == 1 ) THEN !* penetration throughout the water column
	354	DO jk = 2, jpkm1
[1239]	355	DO jj = 2, jpjm1
	356	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	357	en(ji,jj,jk) = en(ji,jj,jk) + rn_efr * en(ji,jj,1) * EXP( -fsdepw(ji,jj,jk) / htau(ji,jj) ) &
	358	& * ( 1.e0 - fr_i(ji,jj) ) * tmask(ji,jj,jk)
[1239]	359	END DO
	360	END DO
[1492]	361	END DO
	362	ELSEIF( nn_etau == 2 ) THEN !* act only at the base of the mixed layer (jk=nmln)
	363	DO jj = 2, jpjm1
	364	DO ji = fs_2, fs_jpim1 ! vector opt.
	365	jk = nmln(ji,jj)
	366	en(ji,jj,jk) = en(ji,jj,jk) + rn_efr * en(ji,jj,1) * EXP( -fsdepw(ji,jj,jk) / htau(ji,jj) ) &
	367	& * ( 1.e0 - fr_i(ji,jj) ) * tmask(ji,jj,jk)
[1239]	368	END DO
[1492]	369	END DO
[1239]	370	ENDIF
[1492]	371	!
	372	CALL lbc_lnk( en, 'W', 1. ) ! Lateral boundary conditions (sign unchanged)
	373	!
[1239]	374	END SUBROUTINE tke_tke
	375
[1492]	376
	377	SUBROUTINE tke_avn
[1239]	378	!!----------------------------------------------------------------------
[1492]	379	!! * ROUTINE tke_avn *
[1239]	380	!!
[1492]	381	!! ** Purpose : Compute the vertical eddy viscosity and diffusivity
	382	!!
	383	!! ** Method : At this stage, en, the now TKE, is known (computed in
	384	!! the tke_tke routine). First, the now mixing lenth is
	385	!! computed from en and the strafification (N^2), then the mixings
	386	!! coefficients are computed.
	387	!! - Mixing length : a first evaluation of the mixing lengh
	388	!! scales is:
	389	!! mxl = sqrt(2*en) / N
	390	!! where N is the brunt-vaisala frequency, with a minimum value set
	391	!! to rn_lmin (rn_lmin0) in the interior (surface) ocean.
	392	!! The mixing and dissipative length scale are bound as follow :
	393	!! nn_mxl=0 : mxl bounded by the distance to surface and bottom.
	394	!! zmxld = zmxlm = mxl
	395	!! nn_mxl=1 : mxl bounded by the e3w and zmxld = zmxlm = mxl
	396	!! nn_mxl=2 : mxl bounded such that the vertical derivative of mxl is
	397	!! less than 1 (\|d/dz(mxl)\|<1) and zmxld = zmxlm = mxl
	398	!! nn_mxl=3 : mxl is bounded from the surface to the bottom usings
	399	!! \|d/dz(xml)\|<1 to obtain lup, and from the bottom to
	400	!! the surface to obtain ldown. the resulting length
	401	!! scales are:
	402	!! zmxld = sqrt( lup * ldown )
	403	!! zmxlm = min ( lup , ldown )
	404	!! - Vertical eddy viscosity and diffusivity:
	405	!! avm = max( avtb, rn_ediff * zmxlm * en^1/2 )
	406	!! avt = max( avmb, pdlr * avm )
	407	!! with pdlr=1 if nn_pdl=0, pdlr=1/pdl=F(Ri) otherwise.
	408	!!
	409	!! ** Action : - avt : now vertical eddy diffusivity (w-point)
	410	!! - avmu, avmv : now vertical eddy viscosity at uw- and vw-points
[1239]	411	!!----------------------------------------------------------------------
	412	USE oce, zmpdl => ua ! use ua as workspace
	413	USE oce, zmxlm => va ! use va as workspace
	414	USE oce, zmxld => ta ! use ta as workspace
[1492]	415	!!
	416	INTEGER :: ji, jj, jk ! dummy loop arguments
	417	REAL(wp) :: zrn2, zraug ! temporary scalars
	418	REAL(wp) :: ztx2, zdku ! - -
	419	REAL(wp) :: zty2, zdkv ! - -
	420	REAL(wp) :: zcoef, zav ! - -
	421	REAL(wp) :: zpdlr, zri, zsqen ! - -
	422	REAL(wp) :: zemxl, zemlm, zemlp ! - -
[1239]	423	!!--------------------------------------------------------------------
	424
[1492]	425	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	426	! ! Mixing length
	427	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	428	!
	429	! !* Buoyancy length scale: l=sqrt(2e/n*2)
	430	!
[1268]	431	IF( ln_mxl0 ) THEN ! surface mixing length = F(stress) : l=vkarmn2.e5sqrt(utau^2 + vtau^2)/(rau0*g)
[1239]	432	!!gm this should be useless
	433	zmxlm(:,:,1) = 0.e0
	434	!!gm end
[1268]	435	zraug = 0.5 * vkarmn * 2.e5 / ( rau0 * grav )
[1239]	436	DO jj = 2, jpjm1
	437	!CDIR NOVERRCHK
	438	DO ji = fs_2, fs_jpim1 ! vector opt.
	439	ztx2 = utau(ji-1,jj ) + utau(ji,jj)
	440	zty2 = vtau(ji ,jj-1) + vtau(ji,jj)
	441	zmxlm(ji,jj,1) = MAX( rn_lmin0, zraug * SQRT( ztx2 * ztx2 + zty2 * zty2 ) )
	442	END DO
	443	END DO
	444	ELSE ! surface set to the minimum value
	445	zmxlm(:,:,1) = rn_lmin0
	446	ENDIF
	447	zmxlm(:,:,jpk) = rn_lmin ! bottom set to the interior minium value
	448	!
	449	!CDIR NOVERRCHK
	450	DO jk = 2, jpkm1 ! interior value : l=sqrt(2e/n*2)
	451	!CDIR NOVERRCHK
	452	DO jj = 2, jpjm1
	453	!CDIR NOVERRCHK
	454	DO ji = fs_2, fs_jpim1 ! vector opt.
	455	zrn2 = MAX( rn2(ji,jj,jk), rsmall )
	456	zmxlm(ji,jj,jk) = MAX( rn_lmin, SQRT( 2. * en(ji,jj,jk) / zrn2 ) )
	457	END DO
	458	END DO
	459	END DO
[1492]	460	!
	461	!!gm CAUTION: to be added here the bottom boundary condition on zmxlm
	462	!
	463	! !* Physical limits for the mixing length
	464	!
[1239]	465	zmxld(:,:, 1 ) = zmxlm(:,:,1) ! surface set to the minimum value
	466	zmxld(:,:,jpk) = rn_lmin ! bottom set to the minimum value
[1492]	467	!
[1239]	468	SELECT CASE ( nn_mxl )
	469	!
	470	CASE ( 0 ) ! bounded by the distance to surface and bottom
	471	DO jk = 2, jpkm1
	472	DO jj = 2, jpjm1
	473	DO ji = fs_2, fs_jpim1 ! vector opt.
	474	zemxl = MIN( fsdepw(ji,jj,jk), zmxlm(ji,jj,jk), &
	475	& fsdepw(ji,jj,mbathy(ji,jj)) - fsdepw(ji,jj,jk) )
	476	zmxlm(ji,jj,jk) = zemxl
	477	zmxld(ji,jj,jk) = zemxl
	478	END DO
	479	END DO
	480	END DO
	481	!
	482	CASE ( 1 ) ! bounded by the vertical scale factor
	483	DO jk = 2, jpkm1
	484	DO jj = 2, jpjm1
	485	DO ji = fs_2, fs_jpim1 ! vector opt.
	486	zemxl = MIN( fse3w(ji,jj,jk), zmxlm(ji,jj,jk) )
	487	zmxlm(ji,jj,jk) = zemxl
	488	zmxld(ji,jj,jk) = zemxl
	489	END DO
	490	END DO
	491	END DO
	492	!
	493	CASE ( 2 ) ! \|dk[xml]\| bounded by e3t :
	494	DO jk = 2, jpkm1 ! from the surface to the bottom :
	495	DO jj = 2, jpjm1
	496	DO ji = fs_2, fs_jpim1 ! vector opt.
	497	zmxlm(ji,jj,jk) = MIN( zmxlm(ji,jj,jk-1) + fse3t(ji,jj,jk-1), zmxlm(ji,jj,jk) )
	498	END DO
	499	END DO
	500	END DO
	501	DO jk = jpkm1, 2, -1 ! from the bottom to the surface :
	502	DO jj = 2, jpjm1
	503	DO ji = fs_2, fs_jpim1 ! vector opt.
	504	zemxl = MIN( zmxlm(ji,jj,jk+1) + fse3t(ji,jj,jk+1), zmxlm(ji,jj,jk) )
	505	zmxlm(ji,jj,jk) = zemxl
	506	zmxld(ji,jj,jk) = zemxl
	507	END DO
	508	END DO
	509	END DO
	510	!
	511	CASE ( 3 ) ! lup and ldown, \|dk[xml]\| bounded by e3t :
	512	DO jk = 2, jpkm1 ! from the surface to the bottom : lup
	513	DO jj = 2, jpjm1
	514	DO ji = fs_2, fs_jpim1 ! vector opt.
	515	zmxld(ji,jj,jk) = MIN( zmxld(ji,jj,jk-1) + fse3t(ji,jj,jk-1), zmxlm(ji,jj,jk) )
	516	END DO
	517	END DO
	518	END DO
	519	DO jk = jpkm1, 2, -1 ! from the bottom to the surface : ldown
	520	DO jj = 2, jpjm1
	521	DO ji = fs_2, fs_jpim1 ! vector opt.
	522	zmxlm(ji,jj,jk) = MIN( zmxlm(ji,jj,jk+1) + fse3t(ji,jj,jk+1), zmxlm(ji,jj,jk) )
	523	END DO
	524	END DO
	525	END DO
	526	!CDIR NOVERRCHK
	527	DO jk = 2, jpkm1
	528	!CDIR NOVERRCHK
	529	DO jj = 2, jpjm1
	530	!CDIR NOVERRCHK
	531	DO ji = fs_2, fs_jpim1 ! vector opt.
	532	zemlm = MIN ( zmxld(ji,jj,jk), zmxlm(ji,jj,jk) )
	533	zemlp = SQRT( zmxld(ji,jj,jk) * zmxlm(ji,jj,jk) )
	534	zmxlm(ji,jj,jk) = zemlm
	535	zmxld(ji,jj,jk) = zemlp
	536	END DO
	537	END DO
	538	END DO
	539	!
	540	END SELECT
[1492]	541	!
[1239]	542	# if defined key_c1d
[1492]	543	e_dis(:,:,:) = zmxld(:,:,:) ! c1d configuration : save mixing and dissipation turbulent length scales
[1239]	544	e_mix(:,:,:) = zmxlm(:,:,:)
	545	# endif
	546
[1492]	547	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	548	! ! Vertical eddy viscosity and diffusivity (avmu, avmv, avt)
	549	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[1239]	550	!CDIR NOVERRCHK
[1492]	551	DO jk = 1, jpkm1 !* vertical eddy viscosity & diffivity at w-points
[1239]	552	!CDIR NOVERRCHK
	553	DO jj = 2, jpjm1
	554	!CDIR NOVERRCHK
	555	DO ji = fs_2, fs_jpim1 ! vector opt.
	556	zsqen = SQRT( en(ji,jj,jk) )
	557	zav = rn_ediff * zmxlm(ji,jj,jk) * zsqen
[1492]	558	avm (ji,jj,jk) = MAX( zav, avmb(jk) ) * tmask(ji,jj,jk)
	559	avt (ji,jj,jk) = MAX( zav, avtb_2d(ji,jj) * avtb(jk) ) * tmask(ji,jj,jk)
[1239]	560	dissl(ji,jj,jk) = zsqen / zmxld(ji,jj,jk)
	561	END DO
	562	END DO
	563	END DO
[1492]	564	CALL lbc_lnk( avm, 'W', 1. ) ! Lateral boundary conditions (sign unchanged)
	565	!
	566	DO jk = 2, jpkm1 !* vertical eddy viscosity at u- and v-points
[1239]	567	DO jj = 2, jpjm1
	568	DO ji = fs_2, fs_jpim1 ! vector opt.
[1481]	569	avmu(ji,jj,jk) = 0.5 * ( avm(ji,jj,jk) + avm(ji+1,jj ,jk) ) * umask(ji,jj,jk)
	570	avmv(ji,jj,jk) = 0.5 * ( avm(ji,jj,jk) + avm(ji ,jj+1,jk) ) * vmask(ji,jj,jk)
[1239]	571	END DO
	572	END DO
	573	END DO
	574	CALL lbc_lnk( avmu, 'U', 1. ) ; CALL lbc_lnk( avmv, 'V', 1. ) ! Lateral boundary conditions
[1492]	575	!
	576	IF( nn_pdl == 1 ) THEN !* Prandtl number case: update avt
[1239]	577	DO jk = 2, jpkm1
	578	DO jj = 2, jpjm1
	579	DO ji = fs_2, fs_jpim1 ! vector opt.
	580	zcoef = 0.5 / ( fse3w(ji,jj,jk) * fse3w(ji,jj,jk) )
[1492]	581	! ! shear
	582	zdku = avmu(ji-1,jj,jk) * ( un(ji-1,jj,jk-1) - un(ji-1,jj,jk) ) * ( ub(ji-1,jj,jk-1) - ub(ji-1,jj,jk) ) &
	583	& + avmu(ji ,jj,jk) * ( un(ji ,jj,jk-1) - un(ji ,jj,jk) ) * ( ub(ji ,jj,jk-1) - ub(ji ,jj,jk) )
	584	zdkv = avmv(ji,jj-1,jk) * ( vn(ji,jj-1,jk-1) - vn(ji,jj-1,jk) ) * ( vb(ji,jj-1,jk-1) - vb(ji,jj-1,jk) ) &
	585	& + avmv(ji,jj ,jk) * ( vn(ji,jj ,jk-1) - vn(ji,jj ,jk) ) * ( vb(ji,jj ,jk-1) - vb(ji,jj ,jk) )
	586	! ! local Richardson number
	587	zri = MAX( rn2b(ji,jj,jk), 0. ) * avm(ji,jj,jk) / (zcoef * (zdku + zdkv + rn_bshear ) )
	588	zpdlr = MAX( 0.1, 0.2 / MAX( 0.2 , zri ) )
	589	!!gm and even better with the use of the "true" ri_crit=0.22222... (this change the results!)
	590	!!gm zpdlr = MAX( 0.1, ri_crit / MAX( ri_crit , zri ) )
	591	avt(ji,jj,jk) = MAX( zpdlr * avt(ji,jj,jk), avtb_2d(ji,jj) * avtb(jk) ) * tmask(ji,jj,jk)
	592	# if defined key_c1d
	593	e_pdl(ji,jj,jk) = zpdlr * tmask(ji,jj,jk) ! c1d configuration : save masked Prandlt number
[1239]	594	e_ric(ji,jj,jk) = zri * tmask(ji,jj,jk) ! c1d config. : save Ri
	595	# endif
	596	END DO
	597	END DO
	598	END DO
	599	ENDIF
	600	CALL lbc_lnk( avt, 'W', 1. ) ! Lateral boundary conditions on avt (sign unchanged)
	601
	602	IF(ln_ctl) THEN
	603	CALL prt_ctl( tab3d_1=en , clinfo1=' tke - e: ', tab3d_2=avt, clinfo2=' t: ', ovlap=1, kdim=jpk)
	604	CALL prt_ctl( tab3d_1=avmu, clinfo1=' tke - u: ', mask1=umask, &
	605	& tab3d_2=avmv, clinfo2= ' v: ', mask2=vmask, ovlap=1, kdim=jpk )
	606	ENDIF
	607	!
[1492]	608	END SUBROUTINE tke_avn
[1239]	609
[1492]	610
	611	SUBROUTINE tke_init
[1239]	612	!!----------------------------------------------------------------------
[1531]	613	!! * ROUTINE tke_init *
[1239]	614	!!
	615	!! ** Purpose : Initialization of the vertical eddy diffivity and
[1492]	616	!! viscosity when using a tke turbulent closure scheme
[1239]	617	!!
[1537]	618	!! ** Method : Read the nam_tke namelist and check the parameters
[1492]	619	!! called at the first timestep (nit000)
[1239]	620	!!
[1537]	621	!! ** input : Namlist nam_tke
[1239]	622	!!
	623	!! ** Action : Increase by 1 the nstop flag is setting problem encounter
	624	!!----------------------------------------------------------------------
	625	INTEGER :: ji, jj, jk ! dummy loop indices
	626	!!
[1537]	627	NAMELIST/nam_tke/ rn_ediff, rn_ediss , rn_ebb, rn_emin, &
	628	& rn_emin0, rn_bshear, nn_mxl, ln_mxl0, &
	629	& rn_lmin , rn_lmin0 , nn_pdl, nn_etau, &
	630	& nn_htau , rn_efr , ln_lc , rn_lc
[1239]	631	!!----------------------------------------------------------------------
	632
[1537]	633	REWIND ( numnam ) !* Read Namelist nam_tke : Turbulente Kinetic Energy
	634	READ ( numnam, nam_tke )
[1492]	635
	636	ri_cri = 2. / ( 2. + rn_ediss / rn_ediff ) ! resulting critical Richardson number
[1239]	637
[1492]	638	IF(lwp) THEN !* Control print
[1239]	639	WRITE(numout,*)
[1531]	640	WRITE(numout,*) 'zdf_tke : tke turbulent closure scheme - initialisation'
[1492]	641	WRITE(numout,*) '~~~~~~~~'
[1537]	642	WRITE(numout,*) ' Namelist nam_tke : set tke mixing parameters'
[1239]	643	WRITE(numout,*) ' coef. to compute avt rn_ediff = ', rn_ediff
	644	WRITE(numout,*) ' Kolmogoroff dissipation coef. rn_ediss = ', rn_ediss
	645	WRITE(numout,*) ' tke surface input coef. rn_ebb = ', rn_ebb
	646	WRITE(numout,*) ' minimum value of tke rn_emin = ', rn_emin
	647	WRITE(numout,*) ' surface minimum value of tke rn_emin0 = ', rn_emin0
[1537]	648	WRITE(numout,*) ' background shear (>0) rn_bshear= ', rn_bshear
[1239]	649	WRITE(numout,*) ' mixing length type nn_mxl = ', nn_mxl
	650	WRITE(numout,*) ' prandl number flag nn_pdl = ', nn_pdl
	651	WRITE(numout,*) ' surface mixing length = F(stress) or not ln_mxl0 = ', ln_mxl0
	652	WRITE(numout,*) ' surface mixing length minimum value rn_lmin0 = ', rn_lmin0
	653	WRITE(numout,*) ' interior mixing length minimum value rn_lmin0 = ', rn_lmin0
	654	WRITE(numout,*) ' test param. to add tke induced by wind nn_etau = ', nn_etau
	655	WRITE(numout,*) ' flag for computation of exp. tke profile nn_htau = ', nn_htau
	656	WRITE(numout,*) ' % of rn_emin0 which pene. the thermocline rn_efr = ', rn_efr
	657	WRITE(numout,*) ' flag to take into acc. Langmuir circ. ln_lc = ', ln_lc
	658	WRITE(numout,*) ' coef to compute verticla velocity of LC rn_lc = ', rn_lc
	659	WRITE(numout,*)
[1492]	660	WRITE(numout,*) ' critical Richardson nb with your choice of coefs. = ', ri_cri
[1239]	661	ENDIF
	662
[1492]	663	! !* Check of some namelist values
[1239]	664	IF( nn_mxl < 0 .OR. nn_mxl > 3 ) CALL ctl_stop( 'bad flag: nn_mxl is 0, 1 or 2 ' )
	665	IF( nn_pdl < 0 .OR. nn_pdl > 1 ) CALL ctl_stop( 'bad flag: nn_pdl is 0 or 1 ' )
	666	IF( nn_htau < 0 .OR. nn_htau > 2 ) CALL ctl_stop( 'bad flag: nn_htau is 0, 1 or 2 ' )
	667	IF( rn_lc < 0.15 .OR. rn_lc > 0.2 ) CALL ctl_stop( 'bad value: rn_lc must be between 0.15 and 0.2 ' )
	668
[1492]	669	IF( nn_etau == 2 ) CALL zdf_mxl( nit000 ) ! Initialization of nmln
[1239]	670
[1492]	671	! !* depth of penetration of surface tke
	672	IF( nn_etau /= 0 ) THEN
	673	SELECT CASE( nn_htau ) ! Choice of the depth of penetration
	674	CASE( 0 ) ! constant depth penetration (here 10 meters)
	675	htau(:,:) = 10.e0
	676	CASE( 1 ) ! F(latitude) : 5m to 40m at high lat.
	677	DO jj = 1, jpj
	678	DO ji = 1, jpi
	679	htau(ji,jj) = MAX( 5., MIN( 40., 60.ABS( SIN( rpi/180. gphit(ji,jj) ) ) ) )
	680	END DO
	681	END DO
	682	CASE( 2 ) ! F(latitude) : 5m to 60m at high lat.
	683	DO jj = 1, jpj
	684	DO ji = 1, jpi
	685	htau(ji,jj) = MAX( 5.,6./4.* MIN( 40., 60.ABS( SIN( rpi/180. gphit(ji,jj) ) ) ) )
	686	END DO
	687	END DO
	688	END SELECT
	689	ENDIF
	690
	691	! !* set vertical eddy coef. to the background value
[1239]	692	DO jk = 1, jpk
	693	avt (:,:,jk) = avtb(jk) * tmask(:,:,jk)
[1481]	694	avm (:,:,jk) = avmb(jk) * tmask(:,:,jk)
[1239]	695	avmu(:,:,jk) = avmb(jk) * umask(:,:,jk)
	696	avmv(:,:,jk) = avmb(jk) * vmask(:,:,jk)
	697	END DO
	698	dissl(:,:,:) = 1.e-12
[1492]	699	! !* read or initialize all required files
[1531]	700	CALL tke_rst( nit000, 'READ' )
[1239]	701	!
[1492]	702	END SUBROUTINE tke_init
[1239]	703
	704
[1531]	705	SUBROUTINE tke_rst( kt, cdrw )
[1239]	706	!!---------------------------------------------------------------------
[1531]	707	!! * ROUTINE tke_rst *
[1239]	708	!!
	709	!! ** Purpose : Read or write TKE file (en) in restart file
	710	!!
	711	!! ** Method : use of IOM library
	712	!! if the restart does not contain TKE, en is either
[1537]	713	!! set to rn_emin or recomputed
[1239]	714	!!----------------------------------------------------------------------
	715	INTEGER , INTENT(in) :: kt ! ocean time-step
	716	CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag
	717	!
[1481]	718	INTEGER :: jit, jk ! dummy loop indices
	719	INTEGER :: id1, id2, id3, id4, id5, id6
[1239]	720	!!----------------------------------------------------------------------
	721	!
[1481]	722	IF( TRIM(cdrw) == 'READ' ) THEN ! Read/initialise
	723	! ! ---------------
	724	IF( ln_rstart ) THEN !* Read the restart file
	725	id1 = iom_varid( numror, 'en' , ldstop = .FALSE. )
	726	id2 = iom_varid( numror, 'avt' , ldstop = .FALSE. )
	727	id3 = iom_varid( numror, 'avm' , ldstop = .FALSE. )
	728	id4 = iom_varid( numror, 'avmu' , ldstop = .FALSE. )
	729	id5 = iom_varid( numror, 'avmv' , ldstop = .FALSE. )
	730	id6 = iom_varid( numror, 'dissl', ldstop = .FALSE. )
	731	!
	732	IF( id1 > 0 ) THEN ! 'en' exists
[1239]	733	CALL iom_get( numror, jpdom_autoglo, 'en', en )
[1481]	734	IF( MIN( id2, id3, id4, id5, id6 ) > 0 ) THEN ! all required arrays exist
	735	CALL iom_get( numror, jpdom_autoglo, 'avt' , avt )
	736	CALL iom_get( numror, jpdom_autoglo, 'avm' , avm )
	737	CALL iom_get( numror, jpdom_autoglo, 'avmu' , avmu )
	738	CALL iom_get( numror, jpdom_autoglo, 'avmv' , avmv )
	739	CALL iom_get( numror, jpdom_autoglo, 'dissl', dissl )
[1492]	740	ELSE ! one at least array is missing
	741	CALL tke_avn ! compute avt, avm, avmu, avmv and dissl (approximation)
[1481]	742	ENDIF
	743	ELSE ! No TKE array found: initialisation
	744	IF(lwp) WRITE(numout,*) ' ===>>>> : previous run without tke scheme, en computed by iterative loop'
[1239]	745	en (:,:,:) = rn_emin * tmask(:,:,:)
[1492]	746	CALL tke_avn ! recompute avt, avm, avmu, avmv and dissl (approximation)
[1531]	747	DO jit = nit000 + 1, nit000 + 10 ; CALL zdf_tke( jit ) ; END DO
[1239]	748	ENDIF
[1481]	749	ELSE !* Start from rest
	750	en(:,:,:) = rn_emin * tmask(:,:,:)
	751	DO jk = 1, jpk ! set the Kz to the background value
	752	avt (:,:,jk) = avtb(jk) * tmask(:,:,jk)
	753	avm (:,:,jk) = avmb(jk) * tmask(:,:,jk)
	754	avmu(:,:,jk) = avmb(jk) * umask(:,:,jk)
	755	avmv(:,:,jk) = avmb(jk) * vmask(:,:,jk)
	756	END DO
[1239]	757	ENDIF
[1481]	758	!
	759	ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN ! Create restart file
	760	! ! -------------------
[1531]	761	IF(lwp) WRITE(numout,*) '---- tke-rst ----'
[1481]	762	CALL iom_rstput( kt, nitrst, numrow, 'en' , en )
	763	CALL iom_rstput( kt, nitrst, numrow, 'avt' , avt )
	764	CALL iom_rstput( kt, nitrst, numrow, 'avm' , avm )
	765	CALL iom_rstput( kt, nitrst, numrow, 'avmu' , avmu )
	766	CALL iom_rstput( kt, nitrst, numrow, 'avmv' , avmv )
	767	CALL iom_rstput( kt, nitrst, numrow, 'dissl', dissl )
	768	!
[1239]	769	ENDIF
	770	!
[1531]	771	END SUBROUTINE tke_rst
[1239]	772
	773	#else
	774	!!----------------------------------------------------------------------
	775	!! Dummy module : NO TKE scheme
	776	!!----------------------------------------------------------------------
[1531]	777	LOGICAL, PUBLIC, PARAMETER :: lk_zdftke = .FALSE. !: TKE flag
[1239]	778	CONTAINS
[1531]	779	SUBROUTINE zdf_tke( kt ) ! Empty routine
	780	WRITE(,) 'zdf_tke: You should not have seen this print! error?', kt
	781	END SUBROUTINE zdf_tke
	782	SUBROUTINE tke_rst( kt, cdrw )
[1492]	783	CHARACTER(len=*) :: cdrw
[1531]	784	WRITE(,) 'tke_rst: You should not have seen this print! error?', kt, cdwr
	785	END SUBROUTINE tke_rst
[1239]	786	#endif
	787
	788	!!======================================================================
[1531]	789	END MODULE zdftke

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