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zdftke.F90 in branches/2017/dev_CNRS_2017/NEMOGCM/NEMO/OPA_SRC/ZDF – NEMO

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source: branches/2017/dev_CNRS_2017/NEMOGCM/NEMO/OPA_SRC/ZDF/zdftke.F90 @ 8882

Last change on this file since 8882 was 8882, checked in by flavoni, 7 years ago
dev_CNRS_2017 branch: merged dev_r7881_ENHANCE09_RK3 with trunk r8864
Property svn:keywords set to `Id`
File size: 42.5 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
[8882]	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	!!----------------------------------------------------------------------
[8882]	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
[2528]	45	USE zdf_oce ! vertical physics: ocean variables
[8882]	46	USE zdfdrg ! vertical physics: top/bottom drag coef.
[2528]	47	USE zdfmxl ! vertical physics: mixed layer
[8882]	48	!
[1492]	49	USE in_out_manager ! I/O manager
	50	USE iom ! I/O manager library
[2715]	51	USE lib_mpp ! MPP library
[8882]	52	USE lbclnk ! ocean lateral boundary conditions (or mpp link)
	53	USE prtctl ! Print control
[3294]	54	USE timing ! Timing
[3625]	55	USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined)
[1239]	56
	57	IMPLICIT NONE
	58	PRIVATE
	59
[2528]	60	PUBLIC zdf_tke ! routine called in step module
	61	PUBLIC zdf_tke_init ! routine called in opa module
	62	PUBLIC tke_rst ! routine called in step module
[1239]	63
[4147]	64	! !! Namelist namzdf_tke
	65	LOGICAL :: ln_mxl0 ! mixing length scale surface value as function of wind stress or not
	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)
[8882]	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)
[8882]	77	INTEGER :: nn_htau ! type of tke profile of penetration (=0/1)
	78	REAL(wp) :: rn_efr ! fraction of TKE surface value which penetrates in the ocean
[4147]	79	LOGICAL :: ln_lc ! Langmuir cells (LC) as a source term of TKE or not
[8882]	80	REAL(wp) :: rn_lc ! coef to compute vertical velocity of Langmuir cells
[1239]	81
[4147]	82	REAL(wp) :: ri_cri ! critic Richardson number (deduced from rn_ediff and rn_ediss values)
	83	REAL(wp) :: rmxl_min ! minimum mixing length value (deduced from rn_ediff and rn_emin values) [m]
[2528]	84	REAL(wp) :: rhftau_add = 1.e-3_wp ! add offset applied to HF part of taum (nn_etau=3)
	85	REAL(wp) :: rhftau_scl = 1.0_wp ! scale factor applied to HF part of taum (nn_etau=3)
[1239]	86
[8882]	87	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: htau ! depth of tke penetration (nn_htau)
	88	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: dissl ! now mixing lenght of dissipation
	89	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: apdlr ! now mixing lenght of dissipation
[1492]	90
[1239]	91	!! * Substitutions
	92	# include "vectopt_loop_substitute.h90"
	93	!!----------------------------------------------------------------------
[5836]	94	!! NEMO/OPA 3.7 , NEMO Consortium (2015)
[2528]	95	!! $Id$
	96	!! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt)
[1239]	97	!!----------------------------------------------------------------------
	98	CONTAINS
	99
[2715]	100	INTEGER FUNCTION zdf_tke_alloc()
	101	!!----------------------------------------------------------------------
	102	!! * FUNCTION zdf_tke_alloc *
	103	!!----------------------------------------------------------------------
[8882]	104	ALLOCATE( htau(jpi,jpj) , dissl(jpi,jpj,jpk) , apdlr(jpi,jpj,jpk) , STAT= zdf_tke_alloc )
	105	!
[2715]	106	IF( lk_mpp ) CALL mpp_sum ( zdf_tke_alloc )
	107	IF( zdf_tke_alloc /= 0 ) CALL ctl_warn('zdf_tke_alloc: failed to allocate arrays')
	108	!
	109	END FUNCTION zdf_tke_alloc
	110
	111
[8882]	112	SUBROUTINE zdf_tke( kt, p_sh2, p_avm, p_avt )
[1239]	113	!!----------------------------------------------------------------------
[1531]	114	!! * ROUTINE zdf_tke *
[1239]	115	!!
	116	!! ** Purpose : Compute the vertical eddy viscosity and diffusivity
[1492]	117	!! coefficients using a turbulent closure scheme (TKE).
[1239]	118	!!
[1492]	119	!! ** Method : The time evolution of the turbulent kinetic energy (tke)
	120	!! is computed from a prognostic equation :
	121	!! d(en)/dt = avm (d(u)/dz)**2 ! shear production
	122	!! + d( avm d(en)/dz )/dz ! diffusion of tke
	123	!! + avt N^2 ! stratif. destruc.
	124	!! - rn_ediss / emxl en**(2/3) ! Kolmogoroff dissipation
[1239]	125	!! with the boundary conditions:
[1695]	126	!! surface: en = max( rn_emin0, rn_ebb * taum )
[1239]	127	!! bottom : en = rn_emin
[1492]	128	!! The associated critical Richardson number is: ri_cri = 2/(2+rn_ediss/rn_ediff)
	129	!!
	130	!! The now Turbulent kinetic energy is computed using the following
	131	!! time stepping: implicit for vertical diffusion term, linearized semi
	132	!! implicit for kolmogoroff dissipation term, and explicit forward for
	133	!! both buoyancy and shear production terms. Therefore a tridiagonal
	134	!! linear system is solved. Note that buoyancy and shear terms are
	135	!! discretized in a energy conserving form (Bruchard 2002).
	136	!!
	137	!! The dissipative and mixing length scale are computed from en and
	138	!! the stratification (see tke_avn)
	139	!!
	140	!! The now vertical eddy vicosity and diffusivity coefficients are
	141	!! given by:
	142	!! avm = max( avtb, rn_ediff * zmxlm * en^1/2 )
	143	!! avt = max( avmb, pdl * avm )
[1239]	144	!! eav = max( avmb, avm )
[1492]	145	!! where pdl, the inverse of the Prandtl number is 1 if nn_pdl=0 and
	146	!! given by an empirical funtion of the localRichardson number if nn_pdl=1
[1239]	147	!!
	148	!! ** Action : compute en (now turbulent kinetic energy)
[8882]	149	!! update avt, avm (before vertical eddy coef.)
[1239]	150	!!
	151	!! References : Gaspar et al., JGR, 1990,
	152	!! Blanke and Delecluse, JPO, 1991
	153	!! Mellor and Blumberg, JPO 2004
	154	!! Axell, JGR, 2002
[1492]	155	!! Bruchard OM 2002
[1239]	156	!!----------------------------------------------------------------------
[8882]	157	INTEGER , INTENT(in ) :: kt ! ocean time step
	158	REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: p_sh2 ! shear production term
	159	REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: p_avm, p_avt ! momentum and tracer Kz (w-points)
[1492]	160	!!----------------------------------------------------------------------
[1481]	161	!
[8882]	162	CALL tke_tke( gdepw_n, e3t_n, e3w_n, p_sh2, p_avm, p_avt ) ! now tke (en)
[5656]	163	!
[8882]	164	CALL tke_avn( gdepw_n, e3t_n, e3w_n, p_avm, p_avt ) ! now avt, avm, dissl
[3632]	165	!
[5656]	166	END SUBROUTINE zdf_tke
[1239]	167
[1492]	168
[8882]	169	SUBROUTINE tke_tke( pdepw, p_e3t, p_e3w, p_sh2, p_avm, p_avt )
[1239]	170	!!----------------------------------------------------------------------
[1492]	171	!! * ROUTINE tke_tke *
	172	!!
	173	!! ** Purpose : Compute the now Turbulente Kinetic Energy (TKE)
	174	!!
	175	!! ** Method : - TKE surface boundary condition
[2528]	176	!! - source term due to Langmuir cells (Axell JGR 2002) (ln_lc=T)
[8882]	177	!! - source term due to shear (= Kz dz[Ub] * dz[Un] )
[1492]	178	!! - Now TKE : resolution of the TKE equation by inverting
	179	!! a tridiagonal linear system by a "methode de chasse"
	180	!! - increase TKE due to surface and internal wave breaking
[8882]	181	!! NB: when sea-ice is present, both LC parameterization
	182	!! and TKE penetration are turned off when the ice fraction
	183	!! is smaller than 0.25
[1492]	184	!!
	185	!! ** Action : - en : now turbulent kinetic energy)
[1239]	186	!! ---------------------------------------------------------------------
[8882]	187	REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: pdepw ! depth of w-points
	188	REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: p_e3t, p_e3w ! level thickness (t- & w-points)
	189	REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: p_sh2 ! shear production term
	190	REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: p_avm, p_avt ! vertical eddy viscosity & diffusivity (w-points)
	191	!
	192	INTEGER :: ji, jj, jk ! dummy loop arguments
	193	REAL(wp) :: zetop, zebot, zmsku, zmskv ! local scalars
	194	REAL(wp) :: zrhoa = 1.22 ! Air density kg/m3
	195	REAL(wp) :: zcdrag = 1.5e-3 ! drag coefficient
	196	REAL(wp) :: zbbrau, zri ! local scalars
	197	REAL(wp) :: zfact1, zfact2, zfact3 ! - -
	198	REAL(wp) :: ztx2 , zty2 , zcof ! - -
	199	REAL(wp) :: ztau , zdif ! - -
	200	REAL(wp) :: zus , zwlc , zind ! - -
	201	REAL(wp) :: zzd_up, zzd_lw ! - -
	202	INTEGER , DIMENSION(jpi,jpj) :: imlc
	203	REAL(wp), DIMENSION(jpi,jpj) :: zhlc
	204	REAL(wp), DIMENSION(jpi,jpj,jpk) :: zpelc, zdiag, zd_up, zd_lw
[1239]	205	!!--------------------------------------------------------------------
[1492]	206	!
[8882]	207	IF( ln_timing ) CALL timing_start('tke_tke')
[3294]	208	!
[1695]	209	zbbrau = rn_ebb / rau0 ! Local constant initialisation
[2528]	210	zfact1 = -.5_wp * rdt
	211	zfact2 = 1.5_wp * rdt * rn_ediss
	212	zfact3 = 0.5_wp * rn_ediss
[1492]	213	!
	214	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[8882]	215	! ! Surface/top/bottom boundary condition on tke
[1492]	216	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[8882]	217
	218	DO jj = 2, jpjm1 ! en(1) = rn_ebb taum / rau0 (min value rn_emin0)
	219	DO ji = fs_2, fs_jpim1 ! vector opt.
	220	en(ji,jj,1) = MAX( rn_emin0, zbbrau * taum(ji,jj) ) * tmask(ji,jj,1)
	221	END DO
	222	END DO
[5120]	223	IF ( ln_isfcav ) THEN
	224	DO jj = 2, jpjm1 ! en(mikt(ji,jj)) = rn_emin
	225	DO ji = fs_2, fs_jpim1 ! vector opt.
[5836]	226	en(ji,jj,mikt(ji,jj)) = rn_emin * tmask(ji,jj,1)
[5120]	227	END DO
	228	END DO
[8882]	229	ENDIF
	230	!
[1492]	231	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	232	! ! Bottom boundary condition on tke
	233	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[1719]	234	!
[8882]	235	! en(bot) = (ebb0/rau0)0.5sqrt(u_botfr^2+v_botfr^2) (min value rn_emin)
	236	! where ebb0 does not includes surface wave enhancement (i.e. ebb0=3.75)
	237	! Note that stress averaged is done using an wet-only calculation of u and v at t-point like in zdfsh2
[1492]	238	!
[8882]	239	IF( ln_drg ) THEN !== friction used as top/bottom boundary condition on TKE
	240	!
	241	DO jj = 2, jpjm1 ! bottom friction
	242	DO ji = fs_2, fs_jpim1 ! vector opt.
	243	zmsku = ( 2. - umask(ji-1,jj,mbkt(ji,jj)) * umask(ji,jj,mbkt(ji,jj)) )
	244	zmskv = ( 2. - vmask(ji,jj-1,mbkt(ji,jj)) * vmask(ji,jj,mbkt(ji,jj)) )
	245	! ! where 0.001875 = (rn_ebb0/rau0) * 0.5 = 3.75*0.5/1000. (CAUTION CdU<0)
	246	zebot = - 0.001875_wp * rCdU_bot(ji,jj) * SQRT( ( zmsku( ub(ji,jj,mbkt(ji,jj))+ub(ji-1,jj,mbkt(ji,jj)) ) )*2 &
	247	& + ( zmskv( vb(ji,jj,mbkt(ji,jj))+vb(ji,jj-1,mbkt(ji,jj)) ) )*2 )
	248	en(ji,jj,mbkt(ji,jj)+1) = MAX( zebot, rn_emin ) * ssmask(ji,jj)
	249	END DO
	250	END DO
	251	IF( ln_isfcav ) THEN ! top friction
	252	DO jj = 2, jpjm1
	253	DO ji = fs_2, fs_jpim1 ! vector opt.
	254	zmsku = ( 2. - umask(ji-1,jj,mikt(ji,jj)) * umask(ji,jj,mikt(ji,jj)) )
	255	zmskv = ( 2. - vmask(ji,jj-1,mikt(ji,jj)) * vmask(ji,jj,mikt(ji,jj)) )
	256	! ! where 0.001875 = (rn_ebb0/rau0) * 0.5 = 3.75*0.5/1000. (CAUTION CdU<0)
	257	zetop = - 0.001875_wp * rCdU_top(ji,jj) * SQRT( ( zmsku( ub(ji,jj,mikt(ji,jj))+ub(ji-1,jj,mikt(ji,jj)) ) )*2 &
	258	& + ( zmskv( vb(ji,jj,mikt(ji,jj))+vb(ji,jj-1,mikt(ji,jj)) ) )*2 )
	259	en(ji,jj,mikt(ji,jj)) = MAX( zetop, rn_emin ) * (1._wp - tmask(ji,jj,1)) ! masked at ocean surface
	260	END DO
	261	END DO
	262	ENDIF
	263	!
	264	ENDIF
	265	!
[1492]	266	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[8882]	267	IF( ln_lc ) THEN ! Langmuir circulation source term added to tke ! (Axell JGR 2002)
[1492]	268	! !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
[1239]	269	!
[1492]	270	! !* total energy produce by LC : cumulative sum over jk
[8882]	271	zpelc(:,:,1) = MAX( rn2b(:,:,1), 0._wp ) * pdepw(:,:,1) * p_e3w(:,:,1)
[1239]	272	DO jk = 2, jpk
[8882]	273	zpelc(:,:,jk) = zpelc(:,:,jk-1) + MAX( rn2b(:,:,jk), 0._wp ) * pdepw(:,:,jk) * p_e3w(:,:,jk)
[1239]	274	END DO
[1492]	275	! !* finite Langmuir Circulation depth
[1705]	276	zcof = 0.5 * 0.016 * 0.016 / ( zrhoa * zcdrag )
[7753]	277	imlc(:,:) = mbkt(:,:) + 1 ! Initialization to the number of w ocean point (=2 over land)
[1239]	278	DO jk = jpkm1, 2, -1
[1492]	279	DO jj = 1, jpj ! Last w-level at which zpelc>=0.5usus
	280	DO ji = 1, jpi ! with us=0.016*wind(starting from jpk-1)
[1705]	281	zus = zcof * taum(ji,jj)
[1239]	282	IF( zpelc(ji,jj,jk) > zus ) imlc(ji,jj) = jk
	283	END DO
	284	END DO
	285	END DO
[1492]	286	! ! finite LC depth
	287	DO jj = 1, jpj
[1239]	288	DO ji = 1, jpi
[8882]	289	zhlc(ji,jj) = pdepw(ji,jj,imlc(ji,jj))
[1239]	290	END DO
	291	END DO
[1705]	292	zcof = 0.016 / SQRT( zrhoa * zcdrag )
[1492]	293	DO jk = 2, jpkm1 !* TKE Langmuir circulation source term added to en
[1239]	294	DO jj = 2, jpjm1
	295	DO ji = fs_2, fs_jpim1 ! vector opt.
[1705]	296	zus = zcof * SQRT( taum(ji,jj) ) ! Stokes drift
[1492]	297	! ! vertical velocity due to LC
[8882]	298	zind = 0.5 - SIGN( 0.5, pdepw(ji,jj,jk) - zhlc(ji,jj) )
	299	zwlc = zind * rn_lc * zus * SIN( rpi * pdepw(ji,jj,jk) / zhlc(ji,jj) )
[1492]	300	! ! TKE Langmuir circulation source term
[8882]	301	en(ji,jj,jk) = en(ji,jj,jk) + rdt * MAX(0.,1._wp - 4.fr_i(ji,jj) ) ( zwlc * zwlc * zwlc ) &
[6497]	302	& / zhlc(ji,jj) * wmask(ji,jj,jk) * tmask(ji,jj,1)
[1239]	303	END DO
	304	END DO
	305	END DO
	306	!
	307	ENDIF
[1492]	308	!
	309	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	310	! ! Now Turbulent kinetic energy (output in en)
	311	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	312	! ! Resolution of a tridiagonal linear system by a "methode de chasse"
	313	! ! computation from level 2 to jpkm1 (e(1) already computed and e(jpk)=0 ).
	314	! ! zdiag : diagonal zd_up : upper diagonal zd_lw : lower diagonal
	315	!
[8882]	316	IF( nn_pdl == 1 ) THEN !* Prandtl number = F( Ri )
[5656]	317	DO jk = 2, jpkm1
	318	DO jj = 2, jpjm1
[8882]	319	DO ji = 2, jpim1
	320	! ! local Richardson number
	321	zri = MAX( rn2b(ji,jj,jk), 0._wp ) * p_avm(ji,jj,jk) / ( p_sh2(ji,jj,jk) + rn_bshear )
	322	! ! inverse of Prandtl number
[5656]	323	apdlr(ji,jj,jk) = MAX( 0.1_wp, ri_cri / MAX( ri_cri , zri ) )
	324	END DO
	325	END DO
	326	END DO
	327	ENDIF
[5836]	328	!
[5120]	329	DO jk = 2, jpkm1 !* Matrix and right hand side in en
	330	DO jj = 2, jpjm1
	331	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	332	zcof = zfact1 * tmask(ji,jj,jk)
[8882]	333	! ! A minimum of 2.e-5 m2/s is imposed on TKE vertical
	334	! ! eddy coefficient (ensure numerical stability)
	335	zzd_up = zcof * MAX( p_avm(ji,jj,jk+1) + p_avm(ji,jj,jk ) , 2.e-5_wp ) & ! upper diagonal
	336	& / ( p_e3t(ji,jj,jk ) * p_e3w(ji,jj,jk ) )
	337	zzd_lw = zcof * MAX( p_avm(ji,jj,jk ) + p_avm(ji,jj,jk-1) , 2.e-5_wp ) & ! lower diagonal
	338	& / ( p_e3t(ji,jj,jk-1) * p_e3w(ji,jj,jk ) )
[5656]	339	!
[1492]	340	zd_up(ji,jj,jk) = zzd_up ! Matrix (zdiag, zd_up, zd_lw)
	341	zd_lw(ji,jj,jk) = zzd_lw
[8882]	342	zdiag(ji,jj,jk) = 1._wp - zzd_lw - zzd_up + zfact2 * dissl(ji,jj,jk) * wmask(ji,jj,jk)
[1239]	343	!
[1492]	344	! ! right hand side in en
[8882]	345	en(ji,jj,jk) = en(ji,jj,jk) + rdt * ( p_sh2(ji,jj,jk) & ! shear
	346	& - p_avt(ji,jj,jk) * rn2(ji,jj,jk) & ! stratification
	347	& + zfact3 * dissl(ji,jj,jk) * en(ji,jj,jk) & ! dissipation
	348	& ) * wmask(ji,jj,jk)
[1239]	349	END DO
[5120]	350	END DO
	351	END DO
	352	! !* Matrix inversion from level 2 (tke prescribed at level 1)
	353	DO jk = 3, jpkm1 ! First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1
	354	DO jj = 2, jpjm1
	355	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	356	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]	357	END DO
[5120]	358	END DO
	359	END DO
[5836]	360	DO jj = 2, jpjm1 ! Second recurrence : Lk = RHSk - Lk / Dk-1 * Lk-1
[5120]	361	DO ji = fs_2, fs_jpim1 ! vector opt.
	362	zd_lw(ji,jj,2) = en(ji,jj,2) - zd_lw(ji,jj,2) * en(ji,jj,1) ! Surface boudary conditions on tke
	363	END DO
	364	END DO
	365	DO jk = 3, jpkm1
	366	DO jj = 2, jpjm1
	367	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	368	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]	369	END DO
[5120]	370	END DO
	371	END DO
[5836]	372	DO jj = 2, jpjm1 ! thrid recurrence : Ek = ( Lk - Uk * Ek+1 ) / Dk
[5120]	373	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	374	en(ji,jj,jpkm1) = zd_lw(ji,jj,jpkm1) / zdiag(ji,jj,jpkm1)
[5120]	375	END DO
	376	END DO
	377	DO jk = jpk-2, 2, -1
	378	DO jj = 2, jpjm1
	379	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	380	en(ji,jj,jk) = ( zd_lw(ji,jj,jk) - zd_up(ji,jj,jk) * en(ji,jj,jk+1) ) / zdiag(ji,jj,jk)
[1239]	381	END DO
[5120]	382	END DO
	383	END DO
	384	DO jk = 2, jpkm1 ! set the minimum value of tke
	385	DO jj = 2, jpjm1
	386	DO ji = fs_2, fs_jpim1 ! vector opt.
	387	en(ji,jj,jk) = MAX( en(ji,jj,jk), rn_emin ) * wmask(ji,jj,jk)
[1239]	388	END DO
	389	END DO
	390	END DO
[8882]	391	!
[1492]	392	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	393	! ! TKE due to surface and internal wave breaking
	394	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[6140]	395	!!gm BUG : in the exp remove the depth of ssh !!!
[8882]	396	!!gm i.e. use gde3w in argument (pdepw)
[6140]	397
	398
[2528]	399	IF( nn_etau == 1 ) THEN !* penetration below the mixed layer (rn_efr fraction)
[1492]	400	DO jk = 2, jpkm1
[1239]	401	DO jj = 2, jpjm1
	402	DO ji = fs_2, fs_jpim1 ! vector opt.
[8882]	403	en(ji,jj,jk) = en(ji,jj,jk) + rn_efr * en(ji,jj,1) * EXP( -pdepw(ji,jj,jk) / htau(ji,jj) ) &
	404	& * MAX(0.,1._wp - 4.fr_i(ji,jj) ) wmask(ji,jj,jk) * tmask(ji,jj,1)
[1239]	405	END DO
	406	END DO
[1492]	407	END DO
[2528]	408	ELSEIF( nn_etau == 2 ) THEN !* act only at the base of the mixed layer (jk=nmln) (rn_efr fraction)
[1492]	409	DO jj = 2, jpjm1
	410	DO ji = fs_2, fs_jpim1 ! vector opt.
	411	jk = nmln(ji,jj)
[8882]	412	en(ji,jj,jk) = en(ji,jj,jk) + rn_efr * en(ji,jj,1) * EXP( -pdepw(ji,jj,jk) / htau(ji,jj) ) &
	413	& * MAX(0.,1._wp - 4.fr_i(ji,jj) ) wmask(ji,jj,jk) * tmask(ji,jj,1)
[1239]	414	END DO
[1492]	415	END DO
[2528]	416	ELSEIF( nn_etau == 3 ) THEN !* penetration belox the mixed layer (HF variability)
[1705]	417	DO jk = 2, jpkm1
	418	DO jj = 2, jpjm1
	419	DO ji = fs_2, fs_jpim1 ! vector opt.
	420	ztx2 = utau(ji-1,jj ) + utau(ji,jj)
	421	zty2 = vtau(ji ,jj-1) + vtau(ji,jj)
[4990]	422	ztau = 0.5_wp * SQRT( ztx2 * ztx2 + zty2 * zty2 ) * tmask(ji,jj,1) ! module of the mean stress
[2528]	423	zdif = taum(ji,jj) - ztau ! mean of modulus - modulus of the mean
	424	zdif = rhftau_scl * MAX( 0._wp, zdif + rhftau_add ) ! apply some modifications...
[8882]	425	en(ji,jj,jk) = en(ji,jj,jk) + zbbrau * zdif * EXP( -pdepw(ji,jj,jk) / htau(ji,jj) ) &
	426	& * MAX(0.,1._wp - 4.fr_i(ji,jj) ) wmask(ji,jj,jk) * tmask(ji,jj,1)
[1705]	427	END DO
	428	END DO
	429	END DO
[1239]	430	ENDIF
[1492]	431	!
[8882]	432	IF( ln_timing ) CALL timing_stop('tke_tke')
[2715]	433	!
[1239]	434	END SUBROUTINE tke_tke
	435
[1492]	436
[8882]	437	SUBROUTINE tke_avn( pdepw, p_e3t, p_e3w, p_avm, p_avt )
[1239]	438	!!----------------------------------------------------------------------
[1492]	439	!! * ROUTINE tke_avn *
[1239]	440	!!
[1492]	441	!! ** Purpose : Compute the vertical eddy viscosity and diffusivity
	442	!!
	443	!! ** Method : At this stage, en, the now TKE, is known (computed in
	444	!! the tke_tke routine). First, the now mixing lenth is
	445	!! computed from en and the strafification (N^2), then the mixings
	446	!! coefficients are computed.
	447	!! - Mixing length : a first evaluation of the mixing lengh
	448	!! scales is:
	449	!! mxl = sqrt(2*en) / N
	450	!! where N is the brunt-vaisala frequency, with a minimum value set
[2528]	451	!! to rmxl_min (rn_mxl0) in the interior (surface) ocean.
[1492]	452	!! The mixing and dissipative length scale are bound as follow :
	453	!! nn_mxl=0 : mxl bounded by the distance to surface and bottom.
	454	!! zmxld = zmxlm = mxl
	455	!! nn_mxl=1 : mxl bounded by the e3w and zmxld = zmxlm = mxl
	456	!! nn_mxl=2 : mxl bounded such that the vertical derivative of mxl is
	457	!! less than 1 (\|d/dz(mxl)\|<1) and zmxld = zmxlm = mxl
	458	!! nn_mxl=3 : mxl is bounded from the surface to the bottom usings
	459	!! \|d/dz(xml)\|<1 to obtain lup, and from the bottom to
	460	!! the surface to obtain ldown. the resulting length
	461	!! scales are:
	462	!! zmxld = sqrt( lup * ldown )
	463	!! zmxlm = min ( lup , ldown )
	464	!! - Vertical eddy viscosity and diffusivity:
	465	!! avm = max( avtb, rn_ediff * zmxlm * en^1/2 )
	466	!! avt = max( avmb, pdlr * avm )
	467	!! with pdlr=1 if nn_pdl=0, pdlr=1/pdl=F(Ri) otherwise.
	468	!!
[8882]	469	!! ** Action : - avt, avm : now vertical eddy diffusivity and viscosity (w-point)
[1239]	470	!!----------------------------------------------------------------------
[8882]	471	REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: pdepw ! depth (w-points)
	472	REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: p_e3t, p_e3w ! level thickness (t- & w-points)
	473	REAL(wp), DIMENSION(:,:,:), INTENT( out) :: p_avm, p_avt ! vertical eddy viscosity & diffusivity (w-points)
	474	!
[2715]	475	INTEGER :: ji, jj, jk ! dummy loop indices
[8882]	476	REAL(wp) :: zrn2, zraug, zcoef, zav ! local scalars
	477	REAL(wp) :: zdku, zdkv, zsqen ! - -
	478	REAL(wp) :: zemxl, zemlm, zemlp ! - -
	479	REAL(wp), DIMENSION(jpi,jpj,jpk) :: zmxlm, zmxld ! 3D workspace
[1239]	480	!!--------------------------------------------------------------------
[3294]	481	!
[8882]	482	IF( ln_timing ) CALL timing_start('tke_avn')
	483	!
[1492]	484	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	485	! ! Mixing length
	486	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	487	!
	488	! !* Buoyancy length scale: l=sqrt(2e/n*2)
	489	!
[5120]	490	! initialisation of interior minimum value (avoid a 2d loop with mikt)
[7753]	491	zmxlm(:,:,:) = rmxl_min
	492	zmxld(:,:,:) = rmxl_min
[5120]	493	!
[2528]	494	IF( ln_mxl0 ) THEN ! surface mixing length = F(stress) : l=vkarmn2.e5taum/(rau0*g)
[8882]	495	zraug = vkarmn * 2.e5_wp / ( rau0 * grav )
[4990]	496	DO jj = 2, jpjm1
	497	DO ji = fs_2, fs_jpim1
[5120]	498	zmxlm(ji,jj,1) = MAX( rn_mxl0, zraug * taum(ji,jj) * tmask(ji,jj,1) )
[4990]	499	END DO
	500	END DO
	501	ELSE
[7753]	502	zmxlm(:,:,1) = rn_mxl0
[1239]	503	ENDIF
	504	!
[5120]	505	DO jk = 2, jpkm1 ! interior value : l=sqrt(2*e/n^2)
	506	DO jj = 2, jpjm1
	507	DO ji = fs_2, fs_jpim1 ! vector opt.
[1239]	508	zrn2 = MAX( rn2(ji,jj,jk), rsmall )
[5836]	509	zmxlm(ji,jj,jk) = MAX( rmxl_min, SQRT( 2._wp * en(ji,jj,jk) / zrn2 ) )
[1239]	510	END DO
	511	END DO
	512	END DO
[1492]	513	!
	514	! !* Physical limits for the mixing length
	515	!
[7753]	516	zmxld(:,:, 1 ) = zmxlm(:,:,1) ! surface set to the minimum value
	517	zmxld(:,:,jpk) = rmxl_min ! last level set to the minimum value
[1492]	518	!
[1239]	519	SELECT CASE ( nn_mxl )
	520	!
[5836]	521	!!gm Not sure of that coding for ISF....
[8882]	522	! where wmask = 0 set zmxlm == p_e3w
[1239]	523	CASE ( 0 ) ! bounded by the distance to surface and bottom
[5120]	524	DO jk = 2, jpkm1
	525	DO jj = 2, jpjm1
	526	DO ji = fs_2, fs_jpim1 ! vector opt.
[8882]	527	zemxl = MIN( pdepw(ji,jj,jk) - pdepw(ji,jj,mikt(ji,jj)), zmxlm(ji,jj,jk), &
	528	& pdepw(ji,jj,mbkt(ji,jj)+1) - pdepw(ji,jj,jk) )
[5120]	529	! wmask prevent zmxlm = 0 if jk = mikt(ji,jj)
[8882]	530	zmxlm(ji,jj,jk) = zemxl * wmask(ji,jj,jk) + MIN( zmxlm(ji,jj,jk) , p_e3w(ji,jj,jk) ) * (1 - wmask(ji,jj,jk))
	531	zmxld(ji,jj,jk) = zemxl * wmask(ji,jj,jk) + MIN( zmxlm(ji,jj,jk) , p_e3w(ji,jj,jk) ) * (1 - wmask(ji,jj,jk))
[1239]	532	END DO
	533	END DO
	534	END DO
	535	!
	536	CASE ( 1 ) ! bounded by the vertical scale factor
[5120]	537	DO jk = 2, jpkm1
	538	DO jj = 2, jpjm1
	539	DO ji = fs_2, fs_jpim1 ! vector opt.
[8882]	540	zemxl = MIN( p_e3w(ji,jj,jk), zmxlm(ji,jj,jk) )
[1239]	541	zmxlm(ji,jj,jk) = zemxl
	542	zmxld(ji,jj,jk) = zemxl
	543	END DO
	544	END DO
	545	END DO
	546	!
	547	CASE ( 2 ) ! \|dk[xml]\| bounded by e3t :
[5120]	548	DO jk = 2, jpkm1 ! from the surface to the bottom :
	549	DO jj = 2, jpjm1
	550	DO ji = fs_2, fs_jpim1 ! vector opt.
[8882]	551	zmxlm(ji,jj,jk) = MIN( zmxlm(ji,jj,jk-1) + p_e3t(ji,jj,jk-1), zmxlm(ji,jj,jk) )
[1239]	552	END DO
[5120]	553	END DO
	554	END DO
	555	DO jk = jpkm1, 2, -1 ! from the bottom to the surface :
	556	DO jj = 2, jpjm1
	557	DO ji = fs_2, fs_jpim1 ! vector opt.
[8882]	558	zemxl = MIN( zmxlm(ji,jj,jk+1) + p_e3t(ji,jj,jk+1), zmxlm(ji,jj,jk) )
[1239]	559	zmxlm(ji,jj,jk) = zemxl
	560	zmxld(ji,jj,jk) = zemxl
	561	END DO
	562	END DO
	563	END DO
	564	!
	565	CASE ( 3 ) ! lup and ldown, \|dk[xml]\| bounded by e3t :
[5120]	566	DO jk = 2, jpkm1 ! from the surface to the bottom : lup
	567	DO jj = 2, jpjm1
	568	DO ji = fs_2, fs_jpim1 ! vector opt.
[8882]	569	zmxld(ji,jj,jk) = MIN( zmxld(ji,jj,jk-1) + p_e3t(ji,jj,jk-1), zmxlm(ji,jj,jk) )
[1239]	570	END DO
[5120]	571	END DO
	572	END DO
	573	DO jk = jpkm1, 2, -1 ! from the bottom to the surface : ldown
	574	DO jj = 2, jpjm1
	575	DO ji = fs_2, fs_jpim1 ! vector opt.
[8882]	576	zmxlm(ji,jj,jk) = MIN( zmxlm(ji,jj,jk+1) + p_e3t(ji,jj,jk+1), zmxlm(ji,jj,jk) )
[1239]	577	END DO
	578	END DO
	579	END DO
	580	DO jk = 2, jpkm1
	581	DO jj = 2, jpjm1
	582	DO ji = fs_2, fs_jpim1 ! vector opt.
	583	zemlm = MIN ( zmxld(ji,jj,jk), zmxlm(ji,jj,jk) )
	584	zemlp = SQRT( zmxld(ji,jj,jk) * zmxlm(ji,jj,jk) )
	585	zmxlm(ji,jj,jk) = zemlm
	586	zmxld(ji,jj,jk) = zemlp
	587	END DO
	588	END DO
	589	END DO
	590	!
	591	END SELECT
[1492]	592	!
	593	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[8882]	594	! ! Vertical eddy viscosity and diffusivity (avm and avt)
[1492]	595	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	596	DO jk = 1, jpkm1 !* vertical eddy viscosity & diffivity at w-points
[1239]	597	DO jj = 2, jpjm1
	598	DO ji = fs_2, fs_jpim1 ! vector opt.
	599	zsqen = SQRT( en(ji,jj,jk) )
	600	zav = rn_ediff * zmxlm(ji,jj,jk) * zsqen
[8882]	601	p_avm(ji,jj,jk) = MAX( zav, avmb(jk) ) * wmask(ji,jj,jk)
	602	p_avt(ji,jj,jk) = MAX( zav, avtb_2d(ji,jj) * avtb(jk) ) * wmask(ji,jj,jk)
[1239]	603	dissl(ji,jj,jk) = zsqen / zmxld(ji,jj,jk)
	604	END DO
	605	END DO
	606	END DO
[1492]	607	!
	608	!
	609	IF( nn_pdl == 1 ) THEN !* Prandtl number case: update avt
[5120]	610	DO jk = 2, jpkm1
	611	DO jj = 2, jpjm1
	612	DO ji = fs_2, fs_jpim1 ! vector opt.
[8882]	613	p_avt(ji,jj,jk) = MAX( apdlr(ji,jj,jk) * p_avt(ji,jj,jk), avtb_2d(ji,jj) * avtb(jk) ) * tmask(ji,jj,jk)
[1239]	614	END DO
	615	END DO
	616	END DO
	617	ENDIF
[8882]	618	!
[1239]	619	IF(ln_ctl) THEN
[8882]	620	CALL prt_ctl( tab3d_1=en , clinfo1=' tke - e: ', tab3d_2=avt, clinfo2=' t: ', ovlap=1, kdim=jpk)
	621	CALL prt_ctl( tab3d_1=avm, clinfo1=' tke - m: ', ovlap=1, kdim=jpk )
[1239]	622	ENDIF
	623	!
[8882]	624	IF( ln_timing ) CALL timing_stop('tke_avn')
[3294]	625	!
[1492]	626	END SUBROUTINE tke_avn
[1239]	627
[1492]	628
[2528]	629	SUBROUTINE zdf_tke_init
[1239]	630	!!----------------------------------------------------------------------
[2528]	631	!! * ROUTINE zdf_tke_init *
[1239]	632	!!
	633	!! ** Purpose : Initialization of the vertical eddy diffivity and
[1492]	634	!! viscosity when using a tke turbulent closure scheme
[1239]	635	!!
[1601]	636	!! ** Method : Read the namzdf_tke namelist and check the parameters
[1492]	637	!! called at the first timestep (nit000)
[1239]	638	!!
[1601]	639	!! ** input : Namlist namzdf_tke
[1239]	640	!!
	641	!! ** Action : Increase by 1 the nstop flag is setting problem encounter
	642	!!----------------------------------------------------------------------
	643	INTEGER :: ji, jj, jk ! dummy loop indices
[4147]	644	INTEGER :: ios
[1239]	645	!!
[2528]	646	NAMELIST/namzdf_tke/ rn_ediff, rn_ediss , rn_ebb , rn_emin , &
	647	& rn_emin0, rn_bshear, nn_mxl , ln_mxl0 , &
[8882]	648	& rn_mxl0 , nn_pdl , ln_drg , ln_lc , rn_lc , &
[2528]	649	& nn_etau , nn_htau , rn_efr
[1239]	650	!!----------------------------------------------------------------------
[2715]	651	!
[4147]	652	REWIND( numnam_ref ) ! Namelist namzdf_tke in reference namelist : Turbulent Kinetic Energy
	653	READ ( numnam_ref, namzdf_tke, IOSTAT = ios, ERR = 901)
	654	901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_tke in reference namelist', lwp )
	655
	656	REWIND( numnam_cfg ) ! Namelist namzdf_tke in configuration namelist : Turbulent Kinetic Energy
	657	READ ( numnam_cfg, namzdf_tke, IOSTAT = ios, ERR = 902 )
	658	902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_tke in configuration namelist', lwp )
[4624]	659	IF(lwm) WRITE ( numond, namzdf_tke )
[2715]	660	!
[2528]	661	ri_cri = 2._wp / ( 2._wp + rn_ediss / rn_ediff ) ! resulting critical Richardson number
[2715]	662	!
[1492]	663	IF(lwp) THEN !* Control print
[1239]	664	WRITE(numout,*)
[2528]	665	WRITE(numout,*) 'zdf_tke_init : tke turbulent closure scheme - initialisation'
	666	WRITE(numout,*) '~~~~~~~~~~~~'
[1601]	667	WRITE(numout,*) ' Namelist namzdf_tke : set tke mixing parameters'
[1705]	668	WRITE(numout,*) ' coef. to compute avt rn_ediff = ', rn_ediff
	669	WRITE(numout,*) ' Kolmogoroff dissipation coef. rn_ediss = ', rn_ediss
	670	WRITE(numout,*) ' tke surface input coef. rn_ebb = ', rn_ebb
	671	WRITE(numout,*) ' minimum value of tke rn_emin = ', rn_emin
	672	WRITE(numout,*) ' surface minimum value of tke rn_emin0 = ', rn_emin0
[8882]	673	WRITE(numout,*) ' prandl number flag nn_pdl = ', nn_pdl
[1705]	674	WRITE(numout,*) ' background shear (>0) rn_bshear = ', rn_bshear
	675	WRITE(numout,*) ' mixing length type nn_mxl = ', nn_mxl
[8882]	676	WRITE(numout,*) ' surface mixing length = F(stress) or not ln_mxl0 = ', ln_mxl0
	677	WRITE(numout,*) ' surface mixing length minimum value rn_mxl0 = ', rn_mxl0
	678	WRITE(numout,*) ' top/bottom friction forcing flag ln_drg = ', ln_drg
	679	WRITE(numout,*) ' Langmuir cells parametrization ln_lc = ', ln_lc
	680	WRITE(numout,*) ' coef to compute vertical velocity of LC rn_lc = ', rn_lc
[1705]	681	WRITE(numout,*) ' test param. to add tke induced by wind nn_etau = ', nn_etau
[8882]	682	WRITE(numout,*) ' type of tke penetration profile nn_htau = ', nn_htau
	683	WRITE(numout,*) ' fraction of TKE that penetrates rn_efr = ', rn_efr
[1239]	684	WRITE(numout,*)
[8882]	685	IF( ln_drg ) THEN
	686	WRITE(numout,*) ' Namelist namdrg_top/_bot: used values:'
	687	WRITE(numout,*) ' top ocean cavity roughness (m) rn_z0(_top)= ', r_z0_top
	688	WRITE(numout,*) ' Bottom seafloor roughness (m) rn_z0(_bot)= ', r_z0_bot
	689	ENDIF
	690	WRITE(numout,*)
	691	WRITE(numout,*)
	692	WRITE(numout,*) ' ==>> critical Richardson nb with your parameters ri_cri = ', ri_cri
	693	WRITE(numout,*)
[1239]	694	ENDIF
[2715]	695	!
[8882]	696	IF( ln_zdfiwm ) THEN ! Internal wave-driven mixing
	697	rn_emin = 1.e-10_wp ! specific values of rn_emin & rmxl_min are used
	698	rmxl_min = 1.e-03_wp ! associated avt minimum = molecular salt diffusivity (10^-9 m2/s)
	699	IF(lwp) WRITE(numout,*) ' Internal wave-driven mixing case: force rn_emin = 1.e-10 and rmxl_min = 1.e-3 '
	700	ELSE ! standard case : associated avt minimum = molecular viscosity (10^-6 m2/s)
	701	rmxl_min = 1.e-6_wp / ( rn_ediff * SQRT( rn_emin ) ) ! resulting minimum length to recover molecular viscosity
	702	IF(lwp) WRITE(numout,*) ' minimum mixing length with your parameters rmxl_min = ', rmxl_min
	703	ENDIF
	704	!
[2715]	705	! ! allocate tke arrays
	706	IF( zdf_tke_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_tke_init : unable to allocate arrays' )
	707	!
[1492]	708	! !* Check of some namelist values
[4990]	709	IF( nn_mxl < 0 .OR. nn_mxl > 3 ) CALL ctl_stop( 'bad flag: nn_mxl is 0, 1 or 2 ' )
	710	IF( nn_pdl < 0 .OR. nn_pdl > 1 ) CALL ctl_stop( 'bad flag: nn_pdl is 0 or 1 ' )
	711	IF( nn_htau < 0 .OR. nn_htau > 1 ) CALL ctl_stop( 'bad flag: nn_htau is 0, 1 or 2 ' )
[5407]	712	IF( nn_etau == 3 .AND. .NOT. ln_cpl ) CALL ctl_stop( 'nn_etau == 3 : HF taum only known in coupled mode' )
[1239]	713
[2528]	714	IF( ln_mxl0 ) THEN
	715	IF(lwp) WRITE(numout,*) ' use a surface mixing length = F(stress) : set rn_mxl0 = rmxl_min'
	716	rn_mxl0 = rmxl_min
	717	ENDIF
	718
[1492]	719	IF( nn_etau == 2 ) CALL zdf_mxl( nit000 ) ! Initialization of nmln
[1239]	720
[1492]	721	! !* depth of penetration of surface tke
	722	IF( nn_etau /= 0 ) THEN
[1601]	723	SELECT CASE( nn_htau ) ! Choice of the depth of penetration
[2528]	724	CASE( 0 ) ! constant depth penetration (here 10 meters)
[7753]	725	htau(:,:) = 10._wp
[2528]	726	CASE( 1 ) ! F(latitude) : 0.5m to 30m poleward of 40 degrees
[7753]	727	htau(:,:) = MAX( 0.5_wp, MIN( 30._wp, 45._wp* ABS( SIN( rpi/180._wp * gphit(:,:) ) ) ) )
[1492]	728	END SELECT
	729	ENDIF
	730	! !* set vertical eddy coef. to the background value
[1239]	731	DO jk = 1, jpk
[8882]	732	avt(:,:,jk) = avtb(jk) * wmask(:,:,jk)
	733	avm(:,:,jk) = avmb(jk) * wmask(:,:,jk)
[1239]	734	END DO
[7753]	735	dissl(:,:,:) = 1.e-12_wp
[2715]	736	!
	737	CALL tke_rst( nit000, 'READ' ) !* read or initialize all required files
[1239]	738	!
[2528]	739	END SUBROUTINE zdf_tke_init
[1239]	740
	741
[1531]	742	SUBROUTINE tke_rst( kt, cdrw )
[8882]	743	!!---------------------------------------------------------------------
	744	!! * ROUTINE tke_rst *
	745	!!
	746	!! ** Purpose : Read or write TKE file (en) in restart file
	747	!!
	748	!! ** Method : use of IOM library
	749	!! if the restart does not contain TKE, en is either
	750	!! set to rn_emin or recomputed
	751	!!----------------------------------------------------------------------
	752	INTEGER , INTENT(in) :: kt ! ocean time-step
	753	CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag
	754	!
	755	INTEGER :: jit, jk ! dummy loop indices
	756	INTEGER :: id1, id2, id3, id4 ! local integers
	757	!!----------------------------------------------------------------------
	758	!
	759	IF( TRIM(cdrw) == 'READ' ) THEN ! Read/initialise
	760	! ! ---------------
	761	IF( ln_rstart ) THEN !* Read the restart file
	762	id1 = iom_varid( numror, 'en' , ldstop = .FALSE. )
	763	id2 = iom_varid( numror, 'avt_k', ldstop = .FALSE. )
	764	id3 = iom_varid( numror, 'avm_k', ldstop = .FALSE. )
	765	id4 = iom_varid( numror, 'dissl', ldstop = .FALSE. )
	766	!
	767	IF( MIN( id1, id2, id3, id4 ) > 0 ) THEN ! fields exist
	768	CALL iom_get( numror, jpdom_autoglo, 'en', en )
	769	CALL iom_get( numror, jpdom_autoglo, 'avt_k', avt_k )
	770	CALL iom_get( numror, jpdom_autoglo, 'avm_k', avm_k )
	771	CALL iom_get( numror, jpdom_autoglo, 'dissl', dissl )
	772	ELSE ! start TKE from rest
	773	IF(lwp) WRITE(numout,*) ' ==>> previous run without TKE scheme, set en to background values'
	774	en(:,:,:) = rn_emin * wmask(:,:,:)
	775	! avt_k, avm_k already set to the background value in zdf_phy_init
	776	ENDIF
	777	ELSE !* Start from rest
	778	IF(lwp) WRITE(numout,*) ' ==>> start from rest: set en to the background value'
	779	en(:,:,:) = rn_emin * wmask(:,:,:)
	780	! avt_k, avm_k already set to the background value in zdf_phy_init
	781	ENDIF
	782	!
	783	ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN ! Create restart file
	784	! ! -------------------
	785	IF(lwp) WRITE(numout,*) '---- tke-rst ----'
	786	CALL iom_rstput( kt, nitrst, numrow, 'en' , en )
	787	CALL iom_rstput( kt, nitrst, numrow, 'avt_k', avt_k )
	788	CALL iom_rstput( kt, nitrst, numrow, 'avm_k', avm_k )
	789	CALL iom_rstput( kt, nitrst, numrow, 'dissl', dissl )
	790	!
	791	ENDIF
	792	!
[1531]	793	END SUBROUTINE tke_rst
[1239]	794
	795	!!======================================================================
[1531]	796	END MODULE zdftke

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