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zdftke.F90 in branches/2015/dev_r5776_UKMO2_OBS_efficiency_improvs/NEMOGCM/NEMO/OPA_SRC/ZDF – NEMO

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source: branches/2015/dev_r5776_UKMO2_OBS_efficiency_improvs/NEMOGCM/NEMO/OPA_SRC/ZDF/zdftke.F90 @ 6041

Last change on this file since 6041 was 6041, checked in by timgraham, 8 years ago
Merged head of trunk into branch
Property svn:keywords set to `Id`
File size: 46.2 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
[1239]	29	!!----------------------------------------------------------------------
[6041]	30	#if defined key_zdftke
[1239]	31	!!----------------------------------------------------------------------
[1531]	32	!! 'key_zdftke' TKE vertical physics
[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
[2528]	45	USE zdf_oce ! vertical physics: ocean variables
	46	USE zdfmxl ! vertical physics: mixed layer
[1492]	47	USE lbclnk ! ocean lateral boundary conditions (or mpp link)
	48	USE prtctl ! Print control
	49	USE in_out_manager ! I/O manager
	50	USE iom ! I/O manager library
[2715]	51	USE lib_mpp ! MPP library
[3294]	52	USE wrk_nemo ! work arrays
	53	USE timing ! Timing
[3625]	54	USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined)
[5656]	55	#if defined key_agrif
	56	USE agrif_opa_interp
	57	USE agrif_opa_update
	58	#endif
[1239]	59
	60	IMPLICIT NONE
	61	PRIVATE
	62
[2528]	63	PUBLIC zdf_tke ! routine called in step module
	64	PUBLIC zdf_tke_init ! routine called in opa module
	65	PUBLIC tke_rst ! routine called in step module
[1239]	66
[2715]	67	LOGICAL , PUBLIC, PARAMETER :: lk_zdftke = .TRUE. !: TKE vertical mixing flag
[1239]	68
[4147]	69	! !! Namelist namzdf_tke
	70	LOGICAL :: ln_mxl0 ! mixing length scale surface value as function of wind stress or not
	71	INTEGER :: nn_mxl ! type of mixing length (=0/1/2/3)
	72	REAL(wp) :: rn_mxl0 ! surface min value of mixing length (kappaz_o=0.40.1 m) [m]
	73	INTEGER :: nn_pdl ! Prandtl number or not (ratio avt/avm) (=0/1)
	74	REAL(wp) :: rn_ediff ! coefficient for avt: avt=rn_ediffmxlsqrt(e)
	75	REAL(wp) :: rn_ediss ! coefficient of the Kolmogoroff dissipation
	76	REAL(wp) :: rn_ebb ! coefficient of the surface input of tke
	77	REAL(wp) :: rn_emin ! minimum value of tke [m2/s2]
	78	REAL(wp) :: rn_emin0 ! surface minimum value of tke [m2/s2]
	79	REAL(wp) :: rn_bshear ! background shear (>0) currently a numerical threshold (do not change it)
	80	INTEGER :: nn_etau ! type of depth penetration of surface tke (=0/1/2/3)
	81	INTEGER :: nn_htau ! type of tke profile of penetration (=0/1)
	82	REAL(wp) :: rn_efr ! fraction of TKE surface value which penetrates in the ocean
	83	LOGICAL :: ln_lc ! Langmuir cells (LC) as a source term of TKE or not
	84	REAL(wp) :: rn_lc ! coef to compute vertical velocity of Langmuir cells
[1239]	85
[4147]	86	REAL(wp) :: ri_cri ! critic Richardson number (deduced from rn_ediff and rn_ediss values)
	87	REAL(wp) :: rmxl_min ! minimum mixing length value (deduced from rn_ediff and rn_emin values) [m]
[2528]	88	REAL(wp) :: rhftau_add = 1.e-3_wp ! add offset applied to HF part of taum (nn_etau=3)
	89	REAL(wp) :: rhftau_scl = 1.0_wp ! scale factor applied to HF part of taum (nn_etau=3)
[1239]	90
[2715]	91	REAL(wp) , ALLOCATABLE, SAVE, DIMENSION(:,:) :: htau ! depth of tke penetration (nn_htau)
	92	REAL(wp) , ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: dissl ! now mixing lenght of dissipation
[5656]	93	REAL(wp) , ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: apdlr ! now mixing lenght of dissipation
[2715]	94	#if defined key_c1d
	95	! !! 1D cfg only ('key_c1d')
	96	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: e_dis, e_mix !: dissipation and mixing turbulent lengh scales
	97	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: e_pdl, e_ric !: prandl and local Richardson numbers
	98	#endif
[1492]	99
[1239]	100	!! * Substitutions
	101	# include "domzgr_substitute.h90"
	102	# include "vectopt_loop_substitute.h90"
	103	!!----------------------------------------------------------------------
[6041]	104	!! NEMO/OPA 3.7 , NEMO Consortium (2015)
[2528]	105	!! $Id$
	106	!! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt)
[1239]	107	!!----------------------------------------------------------------------
	108	CONTAINS
	109
[2715]	110	INTEGER FUNCTION zdf_tke_alloc()
	111	!!----------------------------------------------------------------------
	112	!! * FUNCTION zdf_tke_alloc *
	113	!!----------------------------------------------------------------------
	114	ALLOCATE( &
	115	#if defined key_c1d
	116	& e_dis(jpi,jpj,jpk) , e_mix(jpi,jpj,jpk) , &
	117	& e_pdl(jpi,jpj,jpk) , e_ric(jpi,jpj,jpk) , &
	118	#endif
[6041]	119	& htau (jpi,jpj) , dissl(jpi,jpj,jpk) , &
	120	& apdlr(jpi,jpj,jpk) , STAT= zdf_tke_alloc )
[2715]	121	!
	122	IF( lk_mpp ) CALL mpp_sum ( zdf_tke_alloc )
	123	IF( zdf_tke_alloc /= 0 ) CALL ctl_warn('zdf_tke_alloc: failed to allocate arrays')
	124	!
	125	END FUNCTION zdf_tke_alloc
	126
	127
[1531]	128	SUBROUTINE zdf_tke( kt )
[1239]	129	!!----------------------------------------------------------------------
[1531]	130	!! * ROUTINE zdf_tke *
[1239]	131	!!
	132	!! ** Purpose : Compute the vertical eddy viscosity and diffusivity
[1492]	133	!! coefficients using a turbulent closure scheme (TKE).
[1239]	134	!!
[1492]	135	!! ** Method : The time evolution of the turbulent kinetic energy (tke)
	136	!! is computed from a prognostic equation :
	137	!! d(en)/dt = avm (d(u)/dz)**2 ! shear production
	138	!! + d( avm d(en)/dz )/dz ! diffusion of tke
	139	!! + avt N^2 ! stratif. destruc.
	140	!! - rn_ediss / emxl en**(2/3) ! Kolmogoroff dissipation
[1239]	141	!! with the boundary conditions:
[1695]	142	!! surface: en = max( rn_emin0, rn_ebb * taum )
[1239]	143	!! bottom : en = rn_emin
[1492]	144	!! The associated critical Richardson number is: ri_cri = 2/(2+rn_ediss/rn_ediff)
	145	!!
	146	!! The now Turbulent kinetic energy is computed using the following
	147	!! time stepping: implicit for vertical diffusion term, linearized semi
	148	!! implicit for kolmogoroff dissipation term, and explicit forward for
	149	!! both buoyancy and shear production terms. Therefore a tridiagonal
	150	!! linear system is solved. Note that buoyancy and shear terms are
	151	!! discretized in a energy conserving form (Bruchard 2002).
	152	!!
	153	!! The dissipative and mixing length scale are computed from en and
	154	!! the stratification (see tke_avn)
	155	!!
	156	!! The now vertical eddy vicosity and diffusivity coefficients are
	157	!! given by:
	158	!! avm = max( avtb, rn_ediff * zmxlm * en^1/2 )
	159	!! avt = max( avmb, pdl * avm )
[1239]	160	!! eav = max( avmb, avm )
[1492]	161	!! where pdl, the inverse of the Prandtl number is 1 if nn_pdl=0 and
	162	!! given by an empirical funtion of the localRichardson number if nn_pdl=1
[1239]	163	!!
	164	!! ** Action : compute en (now turbulent kinetic energy)
	165	!! update avt, avmu, avmv (before vertical eddy coef.)
	166	!!
	167	!! References : Gaspar et al., JGR, 1990,
	168	!! Blanke and Delecluse, JPO, 1991
	169	!! Mellor and Blumberg, JPO 2004
	170	!! Axell, JGR, 2002
[1492]	171	!! Bruchard OM 2002
[1239]	172	!!----------------------------------------------------------------------
[1492]	173	INTEGER, INTENT(in) :: kt ! ocean time step
	174	!!----------------------------------------------------------------------
[1481]	175	!
[5656]	176	#if defined key_agrif
	177	! interpolation parent grid => child grid for avm_k ( ex : at west border: update column 1 and 2)
	178	IF( .NOT.Agrif_Root() ) CALL Agrif_Tke
	179	#endif
	180	!
[3632]	181	IF( kt /= nit000 ) THEN ! restore before value to compute tke
	182	avt (:,:,:) = avt_k (:,:,:)
	183	avm (:,:,:) = avm_k (:,:,:)
	184	avmu(:,:,:) = avmu_k(:,:,:)
	185	avmv(:,:,:) = avmv_k(:,:,:)
	186	ENDIF
	187	!
[2528]	188	CALL tke_tke ! now tke (en)
[1492]	189	!
[2528]	190	CALL tke_avn ! now avt, avm, avmu, avmv
	191	!
[3632]	192	avt_k (:,:,:) = avt (:,:,:)
	193	avm_k (:,:,:) = avm (:,:,:)
	194	avmu_k(:,:,:) = avmu(:,:,:)
	195	avmv_k(:,:,:) = avmv(:,:,:)
	196	!
[5656]	197	#if defined key_agrif
	198	! Update child grid f => parent grid
	199	IF( .NOT.Agrif_Root() ) CALL Agrif_Update_Tke( kt ) ! children only
	200	#endif
	201	!
	202	END SUBROUTINE zdf_tke
[1239]	203
[1492]	204
[1481]	205	SUBROUTINE tke_tke
[1239]	206	!!----------------------------------------------------------------------
[1492]	207	!! * ROUTINE tke_tke *
	208	!!
	209	!! ** Purpose : Compute the now Turbulente Kinetic Energy (TKE)
	210	!!
	211	!! ** Method : - TKE surface boundary condition
[2528]	212	!! - source term due to Langmuir cells (Axell JGR 2002) (ln_lc=T)
[1492]	213	!! - source term due to shear (saved in avmu, avmv arrays)
	214	!! - Now TKE : resolution of the TKE equation by inverting
	215	!! a tridiagonal linear system by a "methode de chasse"
	216	!! - increase TKE due to surface and internal wave breaking
	217	!!
	218	!! ** Action : - en : now turbulent kinetic energy)
	219	!! - avmu, avmv : production of TKE by shear at u and v-points
	220	!! (= Kz dz[Ub] * dz[Un] )
[1239]	221	!! ---------------------------------------------------------------------
[1705]	222	INTEGER :: ji, jj, jk ! dummy loop arguments
[2528]	223	!!bfr INTEGER :: ikbu, ikbv, ikbum1, ikbvm1 ! temporary scalar
	224	!!bfr INTEGER :: ikbt, ikbumm1, ikbvmm1 ! temporary scalar
[1705]	225	REAL(wp) :: zrhoa = 1.22 ! Air density kg/m3
	226	REAL(wp) :: zcdrag = 1.5e-3 ! drag coefficient
	227	REAL(wp) :: zbbrau, zesh2 ! temporary scalars
	228	REAL(wp) :: zfact1, zfact2, zfact3 ! - -
	229	REAL(wp) :: ztx2 , zty2 , zcof ! - -
	230	REAL(wp) :: ztau , zdif ! - -
	231	REAL(wp) :: zus , zwlc , zind ! - -
	232	REAL(wp) :: zzd_up, zzd_lw ! - -
[2528]	233	!!bfr REAL(wp) :: zebot ! - -
[6041]	234	INTEGER , POINTER, DIMENSION(:,: ) :: imlc
	235	REAL(wp), POINTER, DIMENSION(:,: ) :: zhlc
	236	REAL(wp), POINTER, DIMENSION(:,:,:) :: zpelc, zdiag, zd_up, zd_lw, z3du, z3dv
[5656]	237	REAL(wp) :: zri ! local Richardson number
[1239]	238	!!--------------------------------------------------------------------
[1492]	239	!
[3294]	240	IF( nn_timing == 1 ) CALL timing_start('tke_tke')
	241	!
[6041]	242	CALL wrk_alloc( jpi,jpj, imlc ) ! integer
	243	CALL wrk_alloc( jpi,jpj, zhlc )
	244	CALL wrk_alloc( jpi,jpj,jpk, zpelc, zdiag, zd_up, zd_lw, z3du, z3dv )
[3294]	245	!
[1695]	246	zbbrau = rn_ebb / rau0 ! Local constant initialisation
[2528]	247	zfact1 = -.5_wp * rdt
	248	zfact2 = 1.5_wp * rdt * rn_ediss
	249	zfact3 = 0.5_wp * rn_ediss
[1492]	250	!
[5120]	251	!
[1492]	252	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	253	! ! Surface boundary condition on tke
	254	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[5120]	255	IF ( ln_isfcav ) THEN
	256	DO jj = 2, jpjm1 ! en(mikt(ji,jj)) = rn_emin
	257	DO ji = fs_2, fs_jpim1 ! vector opt.
[6041]	258	en(ji,jj,mikt(ji,jj)) = rn_emin * tmask(ji,jj,1)
[5120]	259	END DO
	260	END DO
	261	END IF
[1695]	262	DO jj = 2, jpjm1 ! en(1) = rn_ebb taum / rau0 (min value rn_emin0)
[1481]	263	DO ji = fs_2, fs_jpim1 ! vector opt.
[5120]	264	en(ji,jj,1) = MAX( rn_emin0, zbbrau * taum(ji,jj) ) * tmask(ji,jj,1)
[1481]	265	END DO
	266	END DO
[2528]	267
	268	!!bfr - start commented area
[1492]	269	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	270	! ! Bottom boundary condition on tke
	271	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[1719]	272	!
	273	!<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	274	! Tests to date have found the bottom boundary condition on tke to have very little effect.
	275	! The condition is coded here for completion but commented out until there is proof that the
	276	! computational cost is justified
	277	!<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	278	! en(bot) = (rn_ebb0/rau0)0.5sqrt(u_botfr^2+v_botfr^2) (min value rn_emin)
	279	!! DO jj = 2, jpjm1
	280	!! DO ji = fs_2, fs_jpim1 ! vector opt.
[2528]	281	!! ztx2 = bfrua(ji-1,jj) * ub(ji-1,jj,mbku(ji-1,jj)) + &
	282	!! bfrua(ji ,jj) * ub(ji ,jj,mbku(ji ,jj) )
	283	!! zty2 = bfrva(ji,jj ) * vb(ji,jj ,mbkv(ji,jj )) + &
	284	!! bfrva(ji,jj-1) * vb(ji,jj-1,mbkv(ji,jj-1) )
[1719]	285	!! zebot = 0.001875_wp * SQRT( ztx2 * ztx2 + zty2 * zty2 ) ! where 0.001875 = (rn_ebb0/rau0) * 0.5 = 3.75*0.5/1000.
[2528]	286	!! en (ji,jj,mbkt(ji,jj)+1) = MAX( zebot, rn_emin ) * tmask(ji,jj,1)
[1719]	287	!! END DO
	288	!! END DO
[2528]	289	!!bfr - end commented area
[1492]	290	!
	291	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[2528]	292	IF( ln_lc ) THEN ! Langmuir circulation source term added to tke (Axell JGR 2002)
[1492]	293	! !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
[1239]	294	!
[1492]	295	! !* total energy produce by LC : cumulative sum over jk
[2528]	296	zpelc(:,:,1) = MAX( rn2b(:,:,1), 0._wp ) * fsdepw(:,:,1) * fse3w(:,:,1)
[1239]	297	DO jk = 2, jpk
[2528]	298	zpelc(:,:,jk) = zpelc(:,:,jk-1) + MAX( rn2b(:,:,jk), 0._wp ) * fsdepw(:,:,jk) * fse3w(:,:,jk)
[1239]	299	END DO
[1492]	300	! !* finite Langmuir Circulation depth
[1705]	301	zcof = 0.5 * 0.016 * 0.016 / ( zrhoa * zcdrag )
[2528]	302	imlc(:,:) = mbkt(:,:) + 1 ! Initialization to the number of w ocean point (=2 over land)
[1239]	303	DO jk = jpkm1, 2, -1
[1492]	304	DO jj = 1, jpj ! Last w-level at which zpelc>=0.5usus
	305	DO ji = 1, jpi ! with us=0.016*wind(starting from jpk-1)
[1705]	306	zus = zcof * taum(ji,jj)
[1239]	307	IF( zpelc(ji,jj,jk) > zus ) imlc(ji,jj) = jk
	308	END DO
	309	END DO
	310	END DO
[1492]	311	! ! finite LC depth
	312	DO jj = 1, jpj
[1239]	313	DO ji = 1, jpi
	314	zhlc(ji,jj) = fsdepw(ji,jj,imlc(ji,jj))
	315	END DO
	316	END DO
[1705]	317	zcof = 0.016 / SQRT( zrhoa * zcdrag )
[1492]	318	DO jk = 2, jpkm1 !* TKE Langmuir circulation source term added to en
[1239]	319	DO jj = 2, jpjm1
	320	DO ji = fs_2, fs_jpim1 ! vector opt.
[1705]	321	zus = zcof * SQRT( taum(ji,jj) ) ! Stokes drift
[1492]	322	! ! vertical velocity due to LC
[1239]	323	zind = 0.5 - SIGN( 0.5, fsdepw(ji,jj,jk) - zhlc(ji,jj) )
	324	zwlc = zind * rn_lc * zus * SIN( rpi * fsdepw(ji,jj,jk) / zhlc(ji,jj) )
[1492]	325	! ! TKE Langmuir circulation source term
[5120]	326	en(ji,jj,jk) = en(ji,jj,jk) + rdt * ( zwlc * zwlc * zwlc ) / zhlc(ji,jj) * wmask(ji,jj,jk) * tmask(ji,jj,1)
[1239]	327	END DO
	328	END DO
	329	END DO
	330	!
	331	ENDIF
[1492]	332	!
	333	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	334	! ! Now Turbulent kinetic energy (output in en)
	335	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	336	! ! Resolution of a tridiagonal linear system by a "methode de chasse"
	337	! ! computation from level 2 to jpkm1 (e(1) already computed and e(jpk)=0 ).
	338	! ! zdiag : diagonal zd_up : upper diagonal zd_lw : lower diagonal
	339	!
	340	DO jk = 2, jpkm1 !* Shear production at uw- and vw-points (energy conserving form)
[5656]	341	DO jj = 1, jpjm1
	342	DO ji = 1, fs_jpim1 ! vector opt.
	343	z3du(ji,jj,jk) = 0.5 * ( avm(ji,jj,jk ) + avm(ji+1,jj,jk) ) &
	344	& * ( un(ji,jj,jk-1) - un(ji ,jj,jk) ) &
[6041]	345	& * ( ub(ji,jj,jk-1) - ub(ji ,jj,jk) ) * wumask(ji,jj,jk) &
	346	& / ( fse3uw_n(ji,jj,jk) * fse3uw_b(ji,jj,jk) )
[5656]	347	z3dv(ji,jj,jk) = 0.5 * ( avm(ji,jj,jk ) + avm(ji,jj+1,jk) ) &
	348	& * ( vn(ji,jj,jk-1) - vn(ji,jj ,jk) ) &
[6041]	349	& * ( vb(ji,jj,jk-1) - vb(ji,jj ,jk) ) * wvmask(ji,jj,jk) &
	350	& / ( fse3vw_n(ji,jj,jk) * fse3vw_b(ji,jj,jk) )
[1492]	351	END DO
	352	END DO
	353	END DO
	354	!
[5656]	355	IF( nn_pdl == 1 ) THEN !* Prandtl number case: compute apdlr
	356	! Note that zesh2 is also computed in the next loop.
	357	! We decided to compute it twice to keep code readability and avoid an IF case in the DO loops
	358	DO jk = 2, jpkm1
	359	DO jj = 2, jpjm1
	360	DO ji = fs_2, fs_jpim1 ! vector opt.
	361	! ! shear prod. at w-point weightened by mask
	362	zesh2 = ( z3du(ji-1,jj,jk) + z3du(ji,jj,jk) ) / MAX( 1._wp , umask(ji-1,jj,jk) + umask(ji,jj,jk) ) &
	363	& + ( z3dv(ji,jj-1,jk) + z3dv(ji,jj,jk) ) / MAX( 1._wp , vmask(ji,jj-1,jk) + vmask(ji,jj,jk) )
	364	! ! local Richardson number
	365	zri = MAX( rn2b(ji,jj,jk), 0._wp ) * avm(ji,jj,jk) / ( zesh2 + rn_bshear )
	366	apdlr(ji,jj,jk) = MAX( 0.1_wp, ri_cri / MAX( ri_cri , zri ) )
	367
	368	END DO
	369	END DO
	370	END DO
	371	!
	372	ENDIF
[6041]	373	!
[5120]	374	DO jk = 2, jpkm1 !* Matrix and right hand side in en
	375	DO jj = 2, jpjm1
	376	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	377	zcof = zfact1 * tmask(ji,jj,jk)
	378	zzd_up = zcof * ( avm (ji,jj,jk+1) + avm (ji,jj,jk ) ) & ! upper diagonal
	379	& / ( fse3t(ji,jj,jk ) * fse3w(ji,jj,jk ) )
	380	zzd_lw = zcof * ( avm (ji,jj,jk ) + avm (ji,jj,jk-1) ) & ! lower diagonal
	381	& / ( fse3t(ji,jj,jk-1) * fse3w(ji,jj,jk ) )
[5656]	382	! ! shear prod. at w-point weightened by mask
	383	zesh2 = ( z3du(ji-1,jj,jk) + z3du(ji,jj,jk) ) / MAX( 1._wp , umask(ji-1,jj,jk) + umask(ji,jj,jk) ) &
	384	& + ( z3dv(ji,jj-1,jk) + z3dv(ji,jj,jk) ) / MAX( 1._wp , vmask(ji,jj-1,jk) + vmask(ji,jj,jk) )
	385	!
[1492]	386	zd_up(ji,jj,jk) = zzd_up ! Matrix (zdiag, zd_up, zd_lw)
	387	zd_lw(ji,jj,jk) = zzd_lw
[2528]	388	zdiag(ji,jj,jk) = 1._wp - zzd_lw - zzd_up + zfact2 * dissl(ji,jj,jk) * tmask(ji,jj,jk)
[1239]	389	!
[1492]	390	! ! right hand side in en
[1481]	391	en(ji,jj,jk) = en(ji,jj,jk) + rdt * ( zesh2 - avt(ji,jj,jk) * rn2(ji,jj,jk) &
[4990]	392	& + zfact3 * dissl(ji,jj,jk) * en (ji,jj,jk) ) &
[5120]	393	& * wmask(ji,jj,jk)
[1239]	394	END DO
[5120]	395	END DO
	396	END DO
	397	! !* Matrix inversion from level 2 (tke prescribed at level 1)
	398	DO jk = 3, jpkm1 ! First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1
	399	DO jj = 2, jpjm1
	400	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	401	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]	402	END DO
[5120]	403	END DO
	404	END DO
[6041]	405	DO jj = 2, jpjm1 ! Second recurrence : Lk = RHSk - Lk / Dk-1 * Lk-1
[5120]	406	DO ji = fs_2, fs_jpim1 ! vector opt.
	407	zd_lw(ji,jj,2) = en(ji,jj,2) - zd_lw(ji,jj,2) * en(ji,jj,1) ! Surface boudary conditions on tke
	408	END DO
	409	END DO
	410	DO jk = 3, jpkm1
	411	DO jj = 2, jpjm1
	412	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	413	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]	414	END DO
[5120]	415	END DO
	416	END DO
[6041]	417	DO jj = 2, jpjm1 ! thrid recurrence : Ek = ( Lk - Uk * Ek+1 ) / Dk
[5120]	418	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	419	en(ji,jj,jpkm1) = zd_lw(ji,jj,jpkm1) / zdiag(ji,jj,jpkm1)
[5120]	420	END DO
	421	END DO
	422	DO jk = jpk-2, 2, -1
	423	DO jj = 2, jpjm1
	424	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	425	en(ji,jj,jk) = ( zd_lw(ji,jj,jk) - zd_up(ji,jj,jk) * en(ji,jj,jk+1) ) / zdiag(ji,jj,jk)
[1239]	426	END DO
[5120]	427	END DO
	428	END DO
	429	DO jk = 2, jpkm1 ! set the minimum value of tke
	430	DO jj = 2, jpjm1
	431	DO ji = fs_2, fs_jpim1 ! vector opt.
	432	en(ji,jj,jk) = MAX( en(ji,jj,jk), rn_emin ) * wmask(ji,jj,jk)
[1239]	433	END DO
	434	END DO
	435	END DO
	436
[1492]	437	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	438	! ! TKE due to surface and internal wave breaking
	439	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[2528]	440	IF( nn_etau == 1 ) THEN !* penetration below the mixed layer (rn_efr fraction)
[1492]	441	DO jk = 2, jpkm1
[1239]	442	DO jj = 2, jpjm1
	443	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	444	en(ji,jj,jk) = en(ji,jj,jk) + rn_efr * en(ji,jj,1) * EXP( -fsdepw(ji,jj,jk) / htau(ji,jj) ) &
[5120]	445	& * ( 1._wp - fr_i(ji,jj) ) * wmask(ji,jj,jk) * tmask(ji,jj,1)
[1239]	446	END DO
	447	END DO
[1492]	448	END DO
[2528]	449	ELSEIF( nn_etau == 2 ) THEN !* act only at the base of the mixed layer (jk=nmln) (rn_efr fraction)
[1492]	450	DO jj = 2, jpjm1
	451	DO ji = fs_2, fs_jpim1 ! vector opt.
	452	jk = nmln(ji,jj)
	453	en(ji,jj,jk) = en(ji,jj,jk) + rn_efr * en(ji,jj,1) * EXP( -fsdepw(ji,jj,jk) / htau(ji,jj) ) &
[5120]	454	& * ( 1._wp - fr_i(ji,jj) ) * wmask(ji,jj,jk) * tmask(ji,jj,1)
[1239]	455	END DO
[1492]	456	END DO
[2528]	457	ELSEIF( nn_etau == 3 ) THEN !* penetration belox the mixed layer (HF variability)
[1705]	458	DO jk = 2, jpkm1
	459	DO jj = 2, jpjm1
	460	DO ji = fs_2, fs_jpim1 ! vector opt.
	461	ztx2 = utau(ji-1,jj ) + utau(ji,jj)
	462	zty2 = vtau(ji ,jj-1) + vtau(ji,jj)
[4990]	463	ztau = 0.5_wp * SQRT( ztx2 * ztx2 + zty2 * zty2 ) * tmask(ji,jj,1) ! module of the mean stress
[2528]	464	zdif = taum(ji,jj) - ztau ! mean of modulus - modulus of the mean
	465	zdif = rhftau_scl * MAX( 0._wp, zdif + rhftau_add ) ! apply some modifications...
[1705]	466	en(ji,jj,jk) = en(ji,jj,jk) + zbbrau * zdif * EXP( -fsdepw(ji,jj,jk) / htau(ji,jj) ) &
[5120]	467	& * ( 1._wp - fr_i(ji,jj) ) * wmask(ji,jj,jk) * tmask(ji,jj,1)
[1705]	468	END DO
	469	END DO
	470	END DO
[1239]	471	ENDIF
[1492]	472	CALL lbc_lnk( en, 'W', 1. ) ! Lateral boundary conditions (sign unchanged)
	473	!
[6041]	474	CALL wrk_dealloc( jpi,jpj, imlc ) ! integer
	475	CALL wrk_dealloc( jpi,jpj, zhlc )
	476	CALL wrk_dealloc( jpi,jpj,jpk, zpelc, zdiag, zd_up, zd_lw, z3du, z3dv )
[2715]	477	!
[3294]	478	IF( nn_timing == 1 ) CALL timing_stop('tke_tke')
	479	!
[1239]	480	END SUBROUTINE tke_tke
	481
[1492]	482
	483	SUBROUTINE tke_avn
[1239]	484	!!----------------------------------------------------------------------
[1492]	485	!! * ROUTINE tke_avn *
[1239]	486	!!
[1492]	487	!! ** Purpose : Compute the vertical eddy viscosity and diffusivity
	488	!!
	489	!! ** Method : At this stage, en, the now TKE, is known (computed in
	490	!! the tke_tke routine). First, the now mixing lenth is
	491	!! computed from en and the strafification (N^2), then the mixings
	492	!! coefficients are computed.
	493	!! - Mixing length : a first evaluation of the mixing lengh
	494	!! scales is:
	495	!! mxl = sqrt(2*en) / N
	496	!! where N is the brunt-vaisala frequency, with a minimum value set
[2528]	497	!! to rmxl_min (rn_mxl0) in the interior (surface) ocean.
[1492]	498	!! The mixing and dissipative length scale are bound as follow :
	499	!! nn_mxl=0 : mxl bounded by the distance to surface and bottom.
	500	!! zmxld = zmxlm = mxl
	501	!! nn_mxl=1 : mxl bounded by the e3w and zmxld = zmxlm = mxl
	502	!! nn_mxl=2 : mxl bounded such that the vertical derivative of mxl is
	503	!! less than 1 (\|d/dz(mxl)\|<1) and zmxld = zmxlm = mxl
	504	!! nn_mxl=3 : mxl is bounded from the surface to the bottom usings
	505	!! \|d/dz(xml)\|<1 to obtain lup, and from the bottom to
	506	!! the surface to obtain ldown. the resulting length
	507	!! scales are:
	508	!! zmxld = sqrt( lup * ldown )
	509	!! zmxlm = min ( lup , ldown )
	510	!! - Vertical eddy viscosity and diffusivity:
	511	!! avm = max( avtb, rn_ediff * zmxlm * en^1/2 )
	512	!! avt = max( avmb, pdlr * avm )
	513	!! with pdlr=1 if nn_pdl=0, pdlr=1/pdl=F(Ri) otherwise.
	514	!!
	515	!! ** Action : - avt : now vertical eddy diffusivity (w-point)
	516	!! - avmu, avmv : now vertical eddy viscosity at uw- and vw-points
[1239]	517	!!----------------------------------------------------------------------
[2715]	518	INTEGER :: ji, jj, jk ! dummy loop indices
	519	REAL(wp) :: zrn2, zraug, zcoef, zav ! local scalars
[6041]	520	REAL(wp) :: zdku, zri, zsqen ! - -
[2715]	521	REAL(wp) :: zdkv, zemxl, zemlm, zemlp ! - -
[3294]	522	REAL(wp), POINTER, DIMENSION(:,:,:) :: zmpdl, zmxlm, zmxld
[1239]	523	!!--------------------------------------------------------------------
[3294]	524	!
	525	IF( nn_timing == 1 ) CALL timing_start('tke_avn')
[1239]	526
[3294]	527	CALL wrk_alloc( jpi,jpj,jpk, zmpdl, zmxlm, zmxld )
	528
[1492]	529	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	530	! ! Mixing length
	531	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	532	!
	533	! !* Buoyancy length scale: l=sqrt(2e/n*2)
	534	!
[5120]	535	! initialisation of interior minimum value (avoid a 2d loop with mikt)
	536	zmxlm(:,:,:) = rmxl_min
	537	zmxld(:,:,:) = rmxl_min
	538	!
[2528]	539	IF( ln_mxl0 ) THEN ! surface mixing length = F(stress) : l=vkarmn2.e5taum/(rau0*g)
[4990]	540	DO jj = 2, jpjm1
	541	DO ji = fs_2, fs_jpim1
[5120]	542	zraug = vkarmn * 2.e5_wp / ( rau0 * grav )
	543	zmxlm(ji,jj,1) = MAX( rn_mxl0, zraug * taum(ji,jj) * tmask(ji,jj,1) )
[4990]	544	END DO
	545	END DO
	546	ELSE
[5120]	547	zmxlm(:,:,1) = rn_mxl0
[1239]	548	ENDIF
	549	!
[5120]	550	DO jk = 2, jpkm1 ! interior value : l=sqrt(2*e/n^2)
	551	DO jj = 2, jpjm1
	552	DO ji = fs_2, fs_jpim1 ! vector opt.
[1239]	553	zrn2 = MAX( rn2(ji,jj,jk), rsmall )
[6041]	554	zmxlm(ji,jj,jk) = MAX( rmxl_min, SQRT( 2._wp * en(ji,jj,jk) / zrn2 ) )
[1239]	555	END DO
	556	END DO
	557	END DO
[1492]	558	!
	559	! !* Physical limits for the mixing length
	560	!
[6041]	561	zmxld(:,:, 1 ) = zmxlm(:,:,1) ! surface set to the minimum value
[2528]	562	zmxld(:,:,jpk) = rmxl_min ! last level set to the minimum value
[1492]	563	!
[1239]	564	SELECT CASE ( nn_mxl )
	565	!
[6041]	566	!!gm Not sure of that coding for ISF....
[5120]	567	! where wmask = 0 set zmxlm == fse3w
[1239]	568	CASE ( 0 ) ! bounded by the distance to surface and bottom
[5120]	569	DO jk = 2, jpkm1
	570	DO jj = 2, jpjm1
	571	DO ji = fs_2, fs_jpim1 ! vector opt.
[4990]	572	zemxl = MIN( fsdepw(ji,jj,jk) - fsdepw(ji,jj,mikt(ji,jj)), zmxlm(ji,jj,jk), &
[2528]	573	& fsdepw(ji,jj,mbkt(ji,jj)+1) - fsdepw(ji,jj,jk) )
[5120]	574	! wmask prevent zmxlm = 0 if jk = mikt(ji,jj)
	575	zmxlm(ji,jj,jk) = zemxl * wmask(ji,jj,jk) + MIN(zmxlm(ji,jj,jk),fse3w(ji,jj,jk)) * (1 - wmask(ji,jj,jk))
	576	zmxld(ji,jj,jk) = zemxl * wmask(ji,jj,jk) + MIN(zmxlm(ji,jj,jk),fse3w(ji,jj,jk)) * (1 - wmask(ji,jj,jk))
[1239]	577	END DO
	578	END DO
	579	END DO
	580	!
	581	CASE ( 1 ) ! bounded by the vertical scale factor
[5120]	582	DO jk = 2, jpkm1
	583	DO jj = 2, jpjm1
	584	DO ji = fs_2, fs_jpim1 ! vector opt.
[1239]	585	zemxl = MIN( fse3w(ji,jj,jk), zmxlm(ji,jj,jk) )
	586	zmxlm(ji,jj,jk) = zemxl
	587	zmxld(ji,jj,jk) = zemxl
	588	END DO
	589	END DO
	590	END DO
	591	!
	592	CASE ( 2 ) ! \|dk[xml]\| bounded by e3t :
[5120]	593	DO jk = 2, jpkm1 ! from the surface to the bottom :
	594	DO jj = 2, jpjm1
	595	DO ji = fs_2, fs_jpim1 ! vector opt.
[1239]	596	zmxlm(ji,jj,jk) = MIN( zmxlm(ji,jj,jk-1) + fse3t(ji,jj,jk-1), zmxlm(ji,jj,jk) )
	597	END DO
[5120]	598	END DO
	599	END DO
	600	DO jk = jpkm1, 2, -1 ! from the bottom to the surface :
	601	DO jj = 2, jpjm1
	602	DO ji = fs_2, fs_jpim1 ! vector opt.
[1239]	603	zemxl = MIN( zmxlm(ji,jj,jk+1) + fse3t(ji,jj,jk+1), zmxlm(ji,jj,jk) )
	604	zmxlm(ji,jj,jk) = zemxl
	605	zmxld(ji,jj,jk) = zemxl
	606	END DO
	607	END DO
	608	END DO
	609	!
	610	CASE ( 3 ) ! lup and ldown, \|dk[xml]\| bounded by e3t :
[5120]	611	DO jk = 2, jpkm1 ! from the surface to the bottom : lup
	612	DO jj = 2, jpjm1
	613	DO ji = fs_2, fs_jpim1 ! vector opt.
[1239]	614	zmxld(ji,jj,jk) = MIN( zmxld(ji,jj,jk-1) + fse3t(ji,jj,jk-1), zmxlm(ji,jj,jk) )
	615	END DO
[5120]	616	END DO
	617	END DO
	618	DO jk = jpkm1, 2, -1 ! from the bottom to the surface : ldown
	619	DO jj = 2, jpjm1
	620	DO ji = fs_2, fs_jpim1 ! vector opt.
[1239]	621	zmxlm(ji,jj,jk) = MIN( zmxlm(ji,jj,jk+1) + fse3t(ji,jj,jk+1), zmxlm(ji,jj,jk) )
	622	END DO
	623	END DO
	624	END DO
	625	DO jk = 2, jpkm1
	626	DO jj = 2, jpjm1
	627	DO ji = fs_2, fs_jpim1 ! vector opt.
	628	zemlm = MIN ( zmxld(ji,jj,jk), zmxlm(ji,jj,jk) )
	629	zemlp = SQRT( zmxld(ji,jj,jk) * zmxlm(ji,jj,jk) )
	630	zmxlm(ji,jj,jk) = zemlm
	631	zmxld(ji,jj,jk) = zemlp
	632	END DO
	633	END DO
	634	END DO
	635	!
	636	END SELECT
[1492]	637	!
[1239]	638	# if defined key_c1d
[1492]	639	e_dis(:,:,:) = zmxld(:,:,:) ! c1d configuration : save mixing and dissipation turbulent length scales
[1239]	640	e_mix(:,:,:) = zmxlm(:,:,:)
	641	# endif
	642
[1492]	643	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	644	! ! Vertical eddy viscosity and diffusivity (avmu, avmv, avt)
	645	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	646	DO jk = 1, jpkm1 !* vertical eddy viscosity & diffivity at w-points
[1239]	647	DO jj = 2, jpjm1
	648	DO ji = fs_2, fs_jpim1 ! vector opt.
	649	zsqen = SQRT( en(ji,jj,jk) )
	650	zav = rn_ediff * zmxlm(ji,jj,jk) * zsqen
[5120]	651	avm (ji,jj,jk) = MAX( zav, avmb(jk) ) * wmask(ji,jj,jk)
	652	avt (ji,jj,jk) = MAX( zav, avtb_2d(ji,jj) * avtb(jk) ) * wmask(ji,jj,jk)
[1239]	653	dissl(ji,jj,jk) = zsqen / zmxld(ji,jj,jk)
	654	END DO
	655	END DO
	656	END DO
[1492]	657	CALL lbc_lnk( avm, 'W', 1. ) ! Lateral boundary conditions (sign unchanged)
	658	!
[5120]	659	DO jk = 2, jpkm1 !* vertical eddy viscosity at wu- and wv-points
	660	DO jj = 2, jpjm1
	661	DO ji = fs_2, fs_jpim1 ! vector opt.
	662	avmu(ji,jj,jk) = 0.5 * ( avm(ji,jj,jk) + avm(ji+1,jj ,jk) ) * wumask(ji,jj,jk)
	663	avmv(ji,jj,jk) = 0.5 * ( avm(ji,jj,jk) + avm(ji ,jj+1,jk) ) * wvmask(ji,jj,jk)
[4990]	664	END DO
[1239]	665	END DO
	666	END DO
	667	CALL lbc_lnk( avmu, 'U', 1. ) ; CALL lbc_lnk( avmv, 'V', 1. ) ! Lateral boundary conditions
[1492]	668	!
	669	IF( nn_pdl == 1 ) THEN !* Prandtl number case: update avt
[5120]	670	DO jk = 2, jpkm1
	671	DO jj = 2, jpjm1
	672	DO ji = fs_2, fs_jpim1 ! vector opt.
[5656]	673	avt(ji,jj,jk) = MAX( apdlr(ji,jj,jk) * avt(ji,jj,jk), avtb_2d(ji,jj) * avtb(jk) ) * tmask(ji,jj,jk)
[1492]	674	# if defined key_c1d
[5656]	675	e_pdl(ji,jj,jk) = apdlr(ji,jj,jk) * wmask(ji,jj,jk) ! c1d configuration : save masked Prandlt number
[6041]	676	!!gm bug NO zri here....
	677	!!gm remove the specific diag for c1d !
[5656]	678	e_ric(ji,jj,jk) = zri * wmask(ji,jj,jk) ! c1d config. : save Ri
[1239]	679	# endif
	680	END DO
	681	END DO
	682	END DO
	683	ENDIF
	684	CALL lbc_lnk( avt, 'W', 1. ) ! Lateral boundary conditions on avt (sign unchanged)
	685
	686	IF(ln_ctl) THEN
	687	CALL prt_ctl( tab3d_1=en , clinfo1=' tke - e: ', tab3d_2=avt, clinfo2=' t: ', ovlap=1, kdim=jpk)
	688	CALL prt_ctl( tab3d_1=avmu, clinfo1=' tke - u: ', mask1=umask, &
	689	& tab3d_2=avmv, clinfo2= ' v: ', mask2=vmask, ovlap=1, kdim=jpk )
	690	ENDIF
	691	!
[3294]	692	CALL wrk_dealloc( jpi,jpj,jpk, zmpdl, zmxlm, zmxld )
	693	!
	694	IF( nn_timing == 1 ) CALL timing_stop('tke_avn')
	695	!
[1492]	696	END SUBROUTINE tke_avn
[1239]	697
[1492]	698
[2528]	699	SUBROUTINE zdf_tke_init
[1239]	700	!!----------------------------------------------------------------------
[2528]	701	!! * ROUTINE zdf_tke_init *
[1239]	702	!!
	703	!! ** Purpose : Initialization of the vertical eddy diffivity and
[1492]	704	!! viscosity when using a tke turbulent closure scheme
[1239]	705	!!
[1601]	706	!! ** Method : Read the namzdf_tke namelist and check the parameters
[1492]	707	!! called at the first timestep (nit000)
[1239]	708	!!
[1601]	709	!! ** input : Namlist namzdf_tke
[1239]	710	!!
	711	!! ** Action : Increase by 1 the nstop flag is setting problem encounter
	712	!!----------------------------------------------------------------------
	713	INTEGER :: ji, jj, jk ! dummy loop indices
[4147]	714	INTEGER :: ios
[1239]	715	!!
[2528]	716	NAMELIST/namzdf_tke/ rn_ediff, rn_ediss , rn_ebb , rn_emin , &
	717	& rn_emin0, rn_bshear, nn_mxl , ln_mxl0 , &
	718	& rn_mxl0 , nn_pdl , ln_lc , rn_lc , &
	719	& nn_etau , nn_htau , rn_efr
[1239]	720	!!----------------------------------------------------------------------
[2715]	721	!
[4147]	722	REWIND( numnam_ref ) ! Namelist namzdf_tke in reference namelist : Turbulent Kinetic Energy
	723	READ ( numnam_ref, namzdf_tke, IOSTAT = ios, ERR = 901)
	724	901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_tke in reference namelist', lwp )
	725
	726	REWIND( numnam_cfg ) ! Namelist namzdf_tke in configuration namelist : Turbulent Kinetic Energy
	727	READ ( numnam_cfg, namzdf_tke, IOSTAT = ios, ERR = 902 )
	728	902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_tke in configuration namelist', lwp )
[4624]	729	IF(lwm) WRITE ( numond, namzdf_tke )
[2715]	730	!
[2528]	731	ri_cri = 2._wp / ( 2._wp + rn_ediss / rn_ediff ) ! resulting critical Richardson number
	732	rmxl_min = 1.e-6_wp / ( rn_ediff * SQRT( rn_emin ) ) ! resulting minimum length to recover molecular viscosity
[2715]	733	!
[1492]	734	IF(lwp) THEN !* Control print
[1239]	735	WRITE(numout,*)
[2528]	736	WRITE(numout,*) 'zdf_tke_init : tke turbulent closure scheme - initialisation'
	737	WRITE(numout,*) '~~~~~~~~~~~~'
[1601]	738	WRITE(numout,*) ' Namelist namzdf_tke : set tke mixing parameters'
[1705]	739	WRITE(numout,*) ' coef. to compute avt rn_ediff = ', rn_ediff
	740	WRITE(numout,*) ' Kolmogoroff dissipation coef. rn_ediss = ', rn_ediss
	741	WRITE(numout,*) ' tke surface input coef. rn_ebb = ', rn_ebb
	742	WRITE(numout,*) ' minimum value of tke rn_emin = ', rn_emin
	743	WRITE(numout,*) ' surface minimum value of tke rn_emin0 = ', rn_emin0
	744	WRITE(numout,*) ' background shear (>0) rn_bshear = ', rn_bshear
	745	WRITE(numout,*) ' mixing length type nn_mxl = ', nn_mxl
	746	WRITE(numout,*) ' prandl number flag nn_pdl = ', nn_pdl
	747	WRITE(numout,*) ' surface mixing length = F(stress) or not ln_mxl0 = ', ln_mxl0
[2528]	748	WRITE(numout,*) ' surface mixing length minimum value rn_mxl0 = ', rn_mxl0
	749	WRITE(numout,*) ' flag to take into acc. Langmuir circ. ln_lc = ', ln_lc
	750	WRITE(numout,*) ' coef to compute verticla velocity of LC rn_lc = ', rn_lc
[1705]	751	WRITE(numout,*) ' test param. to add tke induced by wind nn_etau = ', nn_etau
	752	WRITE(numout,*) ' flag for computation of exp. tke profile nn_htau = ', nn_htau
	753	WRITE(numout,*) ' fraction of en which pene. the thermocline rn_efr = ', rn_efr
[1239]	754	WRITE(numout,*)
[1601]	755	WRITE(numout,*) ' critical Richardson nb with your parameters ri_cri = ', ri_cri
[1239]	756	ENDIF
[2715]	757	!
	758	! ! allocate tke arrays
	759	IF( zdf_tke_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_tke_init : unable to allocate arrays' )
	760	!
[1492]	761	! !* Check of some namelist values
[4990]	762	IF( nn_mxl < 0 .OR. nn_mxl > 3 ) CALL ctl_stop( 'bad flag: nn_mxl is 0, 1 or 2 ' )
	763	IF( nn_pdl < 0 .OR. nn_pdl > 1 ) CALL ctl_stop( 'bad flag: nn_pdl is 0 or 1 ' )
	764	IF( nn_htau < 0 .OR. nn_htau > 1 ) CALL ctl_stop( 'bad flag: nn_htau is 0, 1 or 2 ' )
[5407]	765	IF( nn_etau == 3 .AND. .NOT. ln_cpl ) CALL ctl_stop( 'nn_etau == 3 : HF taum only known in coupled mode' )
[1239]	766
[2528]	767	IF( ln_mxl0 ) THEN
	768	IF(lwp) WRITE(numout,*) ' use a surface mixing length = F(stress) : set rn_mxl0 = rmxl_min'
	769	rn_mxl0 = rmxl_min
	770	ENDIF
	771
[1492]	772	IF( nn_etau == 2 ) CALL zdf_mxl( nit000 ) ! Initialization of nmln
[1239]	773
[1492]	774	! !* depth of penetration of surface tke
	775	IF( nn_etau /= 0 ) THEN
[1601]	776	SELECT CASE( nn_htau ) ! Choice of the depth of penetration
[2528]	777	CASE( 0 ) ! constant depth penetration (here 10 meters)
	778	htau(:,:) = 10._wp
	779	CASE( 1 ) ! F(latitude) : 0.5m to 30m poleward of 40 degrees
	780	htau(:,:) = MAX( 0.5_wp, MIN( 30._wp, 45._wp* ABS( SIN( rpi/180._wp * gphit(:,:) ) ) ) )
[1492]	781	END SELECT
	782	ENDIF
	783	! !* set vertical eddy coef. to the background value
[1239]	784	DO jk = 1, jpk
[5120]	785	avt (:,:,jk) = avtb(jk) * wmask (:,:,jk)
	786	avm (:,:,jk) = avmb(jk) * wmask (:,:,jk)
	787	avmu(:,:,jk) = avmb(jk) * wumask(:,:,jk)
	788	avmv(:,:,jk) = avmb(jk) * wvmask(:,:,jk)
[1239]	789	END DO
[2528]	790	dissl(:,:,:) = 1.e-12_wp
[2715]	791	!
	792	CALL tke_rst( nit000, 'READ' ) !* read or initialize all required files
[1239]	793	!
[2528]	794	END SUBROUTINE zdf_tke_init
[1239]	795
	796
[1531]	797	SUBROUTINE tke_rst( kt, cdrw )
[1239]	798	!!---------------------------------------------------------------------
[1531]	799	!! * ROUTINE tke_rst *
[1239]	800	!!
	801	!! ** Purpose : Read or write TKE file (en) in restart file
	802	!!
	803	!! ** Method : use of IOM library
	804	!! if the restart does not contain TKE, en is either
[1537]	805	!! set to rn_emin or recomputed
[1239]	806	!!----------------------------------------------------------------------
[2715]	807	INTEGER , INTENT(in) :: kt ! ocean time-step
	808	CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag
[1239]	809	!
[1481]	810	INTEGER :: jit, jk ! dummy loop indices
[2715]	811	INTEGER :: id1, id2, id3, id4, id5, id6 ! local integers
[1239]	812	!!----------------------------------------------------------------------
	813	!
[1481]	814	IF( TRIM(cdrw) == 'READ' ) THEN ! Read/initialise
	815	! ! ---------------
	816	IF( ln_rstart ) THEN !* Read the restart file
	817	id1 = iom_varid( numror, 'en' , ldstop = .FALSE. )
	818	id2 = iom_varid( numror, 'avt' , ldstop = .FALSE. )
	819	id3 = iom_varid( numror, 'avm' , ldstop = .FALSE. )
	820	id4 = iom_varid( numror, 'avmu' , ldstop = .FALSE. )
	821	id5 = iom_varid( numror, 'avmv' , ldstop = .FALSE. )
	822	id6 = iom_varid( numror, 'dissl', ldstop = .FALSE. )
	823	!
	824	IF( id1 > 0 ) THEN ! 'en' exists
[1239]	825	CALL iom_get( numror, jpdom_autoglo, 'en', en )
[1481]	826	IF( MIN( id2, id3, id4, id5, id6 ) > 0 ) THEN ! all required arrays exist
	827	CALL iom_get( numror, jpdom_autoglo, 'avt' , avt )
	828	CALL iom_get( numror, jpdom_autoglo, 'avm' , avm )
	829	CALL iom_get( numror, jpdom_autoglo, 'avmu' , avmu )
	830	CALL iom_get( numror, jpdom_autoglo, 'avmv' , avmv )
	831	CALL iom_get( numror, jpdom_autoglo, 'dissl', dissl )
[1492]	832	ELSE ! one at least array is missing
	833	CALL tke_avn ! compute avt, avm, avmu, avmv and dissl (approximation)
[1481]	834	ENDIF
	835	ELSE ! No TKE array found: initialisation
	836	IF(lwp) WRITE(numout,*) ' ===>>>> : previous run without tke scheme, en computed by iterative loop'
[1239]	837	en (:,:,:) = rn_emin * tmask(:,:,:)
[1492]	838	CALL tke_avn ! recompute avt, avm, avmu, avmv and dissl (approximation)
[5112]	839	!
	840	avt_k (:,:,:) = avt (:,:,:)
	841	avm_k (:,:,:) = avm (:,:,:)
	842	avmu_k(:,:,:) = avmu(:,:,:)
	843	avmv_k(:,:,:) = avmv(:,:,:)
	844	!
[1531]	845	DO jit = nit000 + 1, nit000 + 10 ; CALL zdf_tke( jit ) ; END DO
[1239]	846	ENDIF
[1481]	847	ELSE !* Start from rest
	848	en(:,:,:) = rn_emin * tmask(:,:,:)
	849	DO jk = 1, jpk ! set the Kz to the background value
[5120]	850	avt (:,:,jk) = avtb(jk) * wmask (:,:,jk)
	851	avm (:,:,jk) = avmb(jk) * wmask (:,:,jk)
	852	avmu(:,:,jk) = avmb(jk) * wumask(:,:,jk)
	853	avmv(:,:,jk) = avmb(jk) * wvmask(:,:,jk)
[1481]	854	END DO
[1239]	855	ENDIF
[1481]	856	!
	857	ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN ! Create restart file
	858	! ! -------------------
[1531]	859	IF(lwp) WRITE(numout,*) '---- tke-rst ----'
[3632]	860	CALL iom_rstput( kt, nitrst, numrow, 'en' , en )
	861	CALL iom_rstput( kt, nitrst, numrow, 'avt' , avt_k )
	862	CALL iom_rstput( kt, nitrst, numrow, 'avm' , avm_k )
	863	CALL iom_rstput( kt, nitrst, numrow, 'avmu' , avmu_k )
	864	CALL iom_rstput( kt, nitrst, numrow, 'avmv' , avmv_k )
	865	CALL iom_rstput( kt, nitrst, numrow, 'dissl', dissl )
[1481]	866	!
[1239]	867	ENDIF
	868	!
[1531]	869	END SUBROUTINE tke_rst
[1239]	870
	871	#else
	872	!!----------------------------------------------------------------------
	873	!! Dummy module : NO TKE scheme
	874	!!----------------------------------------------------------------------
[1531]	875	LOGICAL, PUBLIC, PARAMETER :: lk_zdftke = .FALSE. !: TKE flag
[1239]	876	CONTAINS
[2528]	877	SUBROUTINE zdf_tke_init ! Dummy routine
	878	END SUBROUTINE zdf_tke_init
	879	SUBROUTINE zdf_tke( kt ) ! Dummy routine
[1531]	880	WRITE(,) 'zdf_tke: You should not have seen this print! error?', kt
	881	END SUBROUTINE zdf_tke
	882	SUBROUTINE tke_rst( kt, cdrw )
[1492]	883	CHARACTER(len=*) :: cdrw
[1531]	884	WRITE(,) 'tke_rst: You should not have seen this print! error?', kt, cdwr
	885	END SUBROUTINE tke_rst
[1239]	886	#endif
	887
	888	!!======================================================================
[1531]	889	END MODULE zdftke

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