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zdftke.F90 in NEMO/branches/2020/r4.0-HEAD_r12713_clem_dan_fixcpl/src/OCE/ZDF – NEMO

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source: NEMO/branches/2020/r4.0-HEAD_r12713_clem_dan_fixcpl/src/OCE/ZDF/zdftke.F90 @ 13279

Last change on this file since 13279 was 13279, checked in by clem, 4 years ago
merge with r4.0-HEAD at r13278
Property svn:keywords set to `Id`
File size: 47.5 KB

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[1531]	1	MODULE zdftke
[1239]	2	!!======================================================================
[1531]	3	!! * MODULE zdftke *
[1239]	4	!! Ocean physics: vertical mixing coefficient computed from the tke
	5	!! turbulent closure parameterization
	6	!!=====================================================================
[1492]	7	!! History : OPA ! 1991-03 (b. blanke) Original code
	8	!! 7.0 ! 1991-11 (G. Madec) bug fix
	9	!! 7.1 ! 1992-10 (G. Madec) new mixing length and eav
	10	!! 7.2 ! 1993-03 (M. Guyon) symetrical conditions
	11	!! 7.3 ! 1994-08 (G. Madec, M. Imbard) nn_pdl flag
	12	!! 7.5 ! 1996-01 (G. Madec) s-coordinates
	13	!! 8.0 ! 1997-07 (G. Madec) lbc
	14	!! 8.1 ! 1999-01 (E. Stretta) new option for the mixing length
	15	!! NEMO 1.0 ! 2002-06 (G. Madec) add tke_init routine
	16	!! - ! 2004-10 (C. Ethe ) 1D configuration
	17	!! 2.0 ! 2006-07 (S. Masson) distributed restart using iom
	18	!! 3.0 ! 2008-05 (C. Ethe, G.Madec) : update TKE physics:
	19	!! ! - tke penetration (wind steering)
	20	!! ! - suface condition for tke & mixing length
	21	!! ! - Langmuir cells
	22	!! - ! 2008-05 (J.-M. Molines, G. Madec) 2D form of avtb
	23	!! - ! 2008-06 (G. Madec) style + DOCTOR name for namelist parameters
	24	!! - ! 2008-12 (G. Reffray) stable discretization of the production term
	25	!! 3.2 ! 2009-06 (G. Madec, S. Masson) TKE restart compatible with key_cpl
	26	!! ! + cleaning of the parameters + bugs correction
[2528]	27	!! 3.3 ! 2010-10 (C. Ethe, G. Madec) reorganisation of initialisation phase
[5120]	28	!! 3.6 ! 2014-11 (P. Mathiot) add ice shelf capability
[9019]	29	!! 4.0 ! 2017-04 (G. Madec) remove CPP ddm key & avm at t-point only
[13279]	30	!! - ! 2017-05 (G. Madec) add top/bottom friction as boundary condition
[1239]	31	!!----------------------------------------------------------------------
[9019]	32
[1239]	33	!!----------------------------------------------------------------------
[3625]	34	!! zdf_tke : update momentum and tracer Kz from a tke scheme
	35	!! tke_tke : tke time stepping: update tke at now time step (en)
	36	!! tke_avn : compute mixing length scale and deduce avm and avt
	37	!! zdf_tke_init : initialization, namelist read, and parameters control
	38	!! tke_rst : read/write tke restart in ocean restart file
[1239]	39	!!----------------------------------------------------------------------
[2528]	40	USE oce ! ocean: dynamics and active tracers variables
	41	USE phycst ! physical constants
	42	USE dom_oce ! domain: ocean
	43	USE domvvl ! domain: variable volume layer
[1492]	44	USE sbc_oce ! surface boundary condition: ocean
[9019]	45	USE zdfdrg ! vertical physics: top/bottom drag coef.
[2528]	46	USE zdfmxl ! vertical physics: mixed layer
[9019]	47	!
[13006]	48	#if defined key_si3
	49	USE ice, ONLY: hm_i, h_i
	50	#endif
	51	#if defined key_cice
	52	USE sbc_ice, ONLY: h_i
	53	#endif
[1492]	54	USE in_out_manager ! I/O manager
	55	USE iom ! I/O manager library
[2715]	56	USE lib_mpp ! MPP library
[9019]	57	USE lbclnk ! ocean lateral boundary conditions (or mpp link)
	58	USE prtctl ! Print control
[3625]	59	USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined)
[1239]	60
	61	IMPLICIT NONE
	62	PRIVATE
	63
[2528]	64	PUBLIC zdf_tke ! routine called in step module
	65	PUBLIC zdf_tke_init ! routine called in opa module
	66	PUBLIC tke_rst ! routine called in step module
[1239]	67
[4147]	68	! !! Namelist namzdf_tke
	69	LOGICAL :: ln_mxl0 ! mixing length scale surface value as function of wind stress or not
[13006]	70	INTEGER :: nn_mxlice ! type of scaling under sea-ice (=0/1/2/3)
	71	REAL(wp) :: rn_mxlice ! ice thickness value when scaling under sea-ice
[4147]	72	INTEGER :: nn_mxl ! type of mixing length (=0/1/2/3)
	73	REAL(wp) :: rn_mxl0 ! surface min value of mixing length (kappaz_o=0.40.1 m) [m]
	74	INTEGER :: nn_pdl ! Prandtl number or not (ratio avt/avm) (=0/1)
	75	REAL(wp) :: rn_ediff ! coefficient for avt: avt=rn_ediffmxlsqrt(e)
	76	REAL(wp) :: rn_ediss ! coefficient of the Kolmogoroff dissipation
	77	REAL(wp) :: rn_ebb ! coefficient of the surface input of tke
	78	REAL(wp) :: rn_emin ! minimum value of tke [m2/s2]
	79	REAL(wp) :: rn_emin0 ! surface minimum value of tke [m2/s2]
	80	REAL(wp) :: rn_bshear ! background shear (>0) currently a numerical threshold (do not change it)
	81	INTEGER :: nn_etau ! type of depth penetration of surface tke (=0/1/2/3)
[9019]	82	INTEGER :: nn_htau ! type of tke profile of penetration (=0/1)
	83	REAL(wp) :: rn_efr ! fraction of TKE surface value which penetrates in the ocean
[4147]	84	LOGICAL :: ln_lc ! Langmuir cells (LC) as a source term of TKE or not
[9019]	85	REAL(wp) :: rn_lc ! coef to compute vertical velocity of Langmuir cells
[13249]	86	INTEGER :: nn_eice ! attenutaion of langmuir & surface wave breaking under ice (=0/1/2/3)
[1239]	87
[4147]	88	REAL(wp) :: ri_cri ! critic Richardson number (deduced from rn_ediff and rn_ediss values)
	89	REAL(wp) :: rmxl_min ! minimum mixing length value (deduced from rn_ediff and rn_emin values) [m]
[2528]	90	REAL(wp) :: rhftau_add = 1.e-3_wp ! add offset applied to HF part of taum (nn_etau=3)
	91	REAL(wp) :: rhftau_scl = 1.0_wp ! scale factor applied to HF part of taum (nn_etau=3)
[1239]	92
[9019]	93	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: htau ! depth of tke penetration (nn_htau)
	94	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: dissl ! now mixing lenght of dissipation
	95	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: apdlr ! now mixing lenght of dissipation
[1492]	96
[1239]	97	!! * Substitutions
	98	# include "vectopt_loop_substitute.h90"
	99	!!----------------------------------------------------------------------
[9598]	100	!! NEMO/OCE 4.0 , NEMO Consortium (2018)
[2528]	101	!! $Id$
[10068]	102	!! Software governed by the CeCILL license (see ./LICENSE)
[1239]	103	!!----------------------------------------------------------------------
	104	CONTAINS
	105
[2715]	106	INTEGER FUNCTION zdf_tke_alloc()
	107	!!----------------------------------------------------------------------
	108	!! * FUNCTION zdf_tke_alloc *
	109	!!----------------------------------------------------------------------
[9019]	110	ALLOCATE( htau(jpi,jpj) , dissl(jpi,jpj,jpk) , apdlr(jpi,jpj,jpk) , STAT= zdf_tke_alloc )
	111	!
[10425]	112	CALL mpp_sum ( 'zdftke', zdf_tke_alloc )
	113	IF( zdf_tke_alloc /= 0 ) CALL ctl_stop( 'STOP', 'zdf_tke_alloc: failed to allocate arrays' )
[2715]	114	!
	115	END FUNCTION zdf_tke_alloc
	116
	117
[9019]	118	SUBROUTINE zdf_tke( kt, p_sh2, p_avm, p_avt )
[1239]	119	!!----------------------------------------------------------------------
[1531]	120	!! * ROUTINE zdf_tke *
[1239]	121	!!
	122	!! ** Purpose : Compute the vertical eddy viscosity and diffusivity
[1492]	123	!! coefficients using a turbulent closure scheme (TKE).
[1239]	124	!!
[1492]	125	!! ** Method : The time evolution of the turbulent kinetic energy (tke)
	126	!! is computed from a prognostic equation :
	127	!! d(en)/dt = avm (d(u)/dz)**2 ! shear production
	128	!! + d( avm d(en)/dz )/dz ! diffusion of tke
	129	!! + avt N^2 ! stratif. destruc.
	130	!! - rn_ediss / emxl en**(2/3) ! Kolmogoroff dissipation
[1239]	131	!! with the boundary conditions:
[1695]	132	!! surface: en = max( rn_emin0, rn_ebb * taum )
[1239]	133	!! bottom : en = rn_emin
[1492]	134	!! The associated critical Richardson number is: ri_cri = 2/(2+rn_ediss/rn_ediff)
	135	!!
	136	!! The now Turbulent kinetic energy is computed using the following
	137	!! time stepping: implicit for vertical diffusion term, linearized semi
	138	!! implicit for kolmogoroff dissipation term, and explicit forward for
	139	!! both buoyancy and shear production terms. Therefore a tridiagonal
	140	!! linear system is solved. Note that buoyancy and shear terms are
	141	!! discretized in a energy conserving form (Bruchard 2002).
	142	!!
	143	!! The dissipative and mixing length scale are computed from en and
	144	!! the stratification (see tke_avn)
	145	!!
	146	!! The now vertical eddy vicosity and diffusivity coefficients are
	147	!! given by:
	148	!! avm = max( avtb, rn_ediff * zmxlm * en^1/2 )
	149	!! avt = max( avmb, pdl * avm )
[1239]	150	!! eav = max( avmb, avm )
[1492]	151	!! where pdl, the inverse of the Prandtl number is 1 if nn_pdl=0 and
	152	!! given by an empirical funtion of the localRichardson number if nn_pdl=1
[1239]	153	!!
	154	!! ** Action : compute en (now turbulent kinetic energy)
[9019]	155	!! update avt, avm (before vertical eddy coef.)
[1239]	156	!!
	157	!! References : Gaspar et al., JGR, 1990,
	158	!! Blanke and Delecluse, JPO, 1991
	159	!! Mellor and Blumberg, JPO 2004
	160	!! Axell, JGR, 2002
[1492]	161	!! Bruchard OM 2002
[1239]	162	!!----------------------------------------------------------------------
[9019]	163	INTEGER , INTENT(in ) :: kt ! ocean time step
	164	REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: p_sh2 ! shear production term
	165	REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: p_avm, p_avt ! momentum and tracer Kz (w-points)
[1492]	166	!!----------------------------------------------------------------------
[1481]	167	!
[9019]	168	CALL tke_tke( gdepw_n, e3t_n, e3w_n, p_sh2, p_avm, p_avt ) ! now tke (en)
[5656]	169	!
[9019]	170	CALL tke_avn( gdepw_n, e3t_n, e3w_n, p_avm, p_avt ) ! now avt, avm, dissl
[3632]	171	!
[5656]	172	END SUBROUTINE zdf_tke
[1239]	173
[1492]	174
[9019]	175	SUBROUTINE tke_tke( pdepw, p_e3t, p_e3w, p_sh2, p_avm, p_avt )
[1239]	176	!!----------------------------------------------------------------------
[1492]	177	!! * ROUTINE tke_tke *
	178	!!
	179	!! ** Purpose : Compute the now Turbulente Kinetic Energy (TKE)
	180	!!
	181	!! ** Method : - TKE surface boundary condition
[2528]	182	!! - source term due to Langmuir cells (Axell JGR 2002) (ln_lc=T)
[9019]	183	!! - source term due to shear (= Kz dz[Ub] * dz[Un] )
[1492]	184	!! - Now TKE : resolution of the TKE equation by inverting
	185	!! a tridiagonal linear system by a "methode de chasse"
	186	!! - increase TKE due to surface and internal wave breaking
[9019]	187	!! NB: when sea-ice is present, both LC parameterization
	188	!! and TKE penetration are turned off when the ice fraction
	189	!! is smaller than 0.25
[1492]	190	!!
	191	!! ** Action : - en : now turbulent kinetic energy)
[1239]	192	!! ---------------------------------------------------------------------
[9019]	193	USE zdf_oce , ONLY : en ! ocean vertical physics
	194	!!
	195	REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: pdepw ! depth of w-points
	196	REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: p_e3t, p_e3w ! level thickness (t- & w-points)
	197	REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: p_sh2 ! shear production term
	198	REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: p_avm, p_avt ! vertical eddy viscosity & diffusivity (w-points)
	199	!
[13249]	200	INTEGER :: ji, jj, jk ! dummy loop arguments
[9019]	201	REAL(wp) :: zetop, zebot, zmsku, zmskv ! local scalars
	202	REAL(wp) :: zrhoa = 1.22 ! Air density kg/m3
	203	REAL(wp) :: zcdrag = 1.5e-3 ! drag coefficient
[13249]	204	REAL(wp) :: zbbrau, zbbirau, zri ! local scalars
	205	REAL(wp) :: zfact1, zfact2, zfact3 ! - -
	206	REAL(wp) :: ztx2 , zty2 , zcof ! - -
	207	REAL(wp) :: ztau , zdif ! - -
	208	REAL(wp) :: zus , zwlc , zind ! - -
	209	REAL(wp) :: zzd_up, zzd_lw ! - -
[9019]	210	INTEGER , DIMENSION(jpi,jpj) :: imlc
[13249]	211	REAL(wp), DIMENSION(jpi,jpj) :: zice_fra, zhlc, zus3
[9019]	212	REAL(wp), DIMENSION(jpi,jpj,jpk) :: zpelc, zdiag, zd_up, zd_lw
[1239]	213	!!--------------------------------------------------------------------
[1492]	214	!
[13249]	215	zbbrau = rn_ebb / rau0 ! Local constant initialisation
	216	zbbirau = 3.75_wp / rau0
	217	zfact1 = -0.5_wp * rdt
	218	zfact2 = 1.5_wp * rdt * rn_ediss
	219	zfact3 = 0.5_wp * rn_ediss
[1492]	220	!
[13249]	221	! ice fraction considered for attenuation of langmuir & wave breaking
	222	SELECT CASE ( nn_eice )
	223	CASE( 0 ) ; zice_fra(:,:) = 0._wp
	224	CASE( 1 ) ; zice_fra(:,:) = TANH( fr_i(:,:) * 10._wp )
	225	CASE( 2 ) ; zice_fra(:,:) = fr_i(:,:)
	226	CASE( 3 ) ; zice_fra(:,:) = MIN( 4._wp * fr_i(:,:) , 1._wp )
	227	END SELECT
	228	!
[1492]	229	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[9019]	230	! ! Surface/top/bottom boundary condition on tke
[1492]	231	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[13249]	232	!
[9019]	233	DO jj = 2, jpjm1 ! en(1) = rn_ebb taum / rau0 (min value rn_emin0)
	234	DO ji = fs_2, fs_jpim1 ! vector opt.
[13249]	235	en(ji,jj,1) = MAX( rn_emin0, ( ( 1._wp - fr_i(ji,jj) ) * zbbrau + &
	236	& fr_i(ji,jj) * zbbirau ) * taum(ji,jj) ) * tmask(ji,jj,1)
[9019]	237	END DO
	238	END DO
	239	!
[1492]	240	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	241	! ! Bottom boundary condition on tke
	242	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[1719]	243	!
[9019]	244	! en(bot) = (ebb0/rau0)0.5sqrt(u_botfr^2+v_botfr^2) (min value rn_emin)
	245	! where ebb0 does not includes surface wave enhancement (i.e. ebb0=3.75)
	246	! Note that stress averaged is done using an wet-only calculation of u and v at t-point like in zdfsh2
[1492]	247	!
[13279]	248	IF( .NOT.ln_drg_OFF ) THEN !== friction used as top/bottom boundary condition on TKE
[9019]	249	!
[13279]	250	DO jj = 2, jpjm1 ! bottom friction
[9019]	251	DO ji = fs_2, fs_jpim1 ! vector opt.
	252	zmsku = ( 2. - umask(ji-1,jj,mbkt(ji,jj)) * umask(ji,jj,mbkt(ji,jj)) )
	253	zmskv = ( 2. - vmask(ji,jj-1,mbkt(ji,jj)) * vmask(ji,jj,mbkt(ji,jj)) )
	254	! ! where 0.001875 = (rn_ebb0/rau0) * 0.5 = 3.75*0.5/1000. (CAUTION CdU<0)
	255	zebot = - 0.001875_wp * rCdU_bot(ji,jj) * SQRT( ( zmsku( ub(ji,jj,mbkt(ji,jj))+ub(ji-1,jj,mbkt(ji,jj)) ) )*2 &
	256	& + ( zmskv( vb(ji,jj,mbkt(ji,jj))+vb(ji,jj-1,mbkt(ji,jj)) ) )*2 )
	257	en(ji,jj,mbkt(ji,jj)+1) = MAX( zebot, rn_emin ) * ssmask(ji,jj)
	258	END DO
	259	END DO
	260	IF( ln_isfcav ) THEN ! top friction
	261	DO jj = 2, jpjm1
	262	DO ji = fs_2, fs_jpim1 ! vector opt.
	263	zmsku = ( 2. - umask(ji-1,jj,mikt(ji,jj)) * umask(ji,jj,mikt(ji,jj)) )
	264	zmskv = ( 2. - vmask(ji,jj-1,mikt(ji,jj)) * vmask(ji,jj,mikt(ji,jj)) )
	265	! ! where 0.001875 = (rn_ebb0/rau0) * 0.5 = 3.75*0.5/1000. (CAUTION CdU<0)
	266	zetop = - 0.001875_wp * rCdU_top(ji,jj) * SQRT( ( zmsku( ub(ji,jj,mikt(ji,jj))+ub(ji-1,jj,mikt(ji,jj)) ) )*2 &
	267	& + ( zmskv( vb(ji,jj,mikt(ji,jj))+vb(ji,jj-1,mikt(ji,jj)) ) )*2 )
[13249]	268	en(ji,jj,mikt(ji,jj)) = en(ji,jj,1) * tmask(ji,jj,1) &
[12703]	269	& + MAX( zetop, rn_emin ) * (1._wp - tmask(ji,jj,1)) * ssmask(ji,jj)
[9019]	270	END DO
	271	END DO
	272	ENDIF
	273	!
	274	ENDIF
	275	!
[1492]	276	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[9019]	277	IF( ln_lc ) THEN ! Langmuir circulation source term added to tke ! (Axell JGR 2002)
[1492]	278	! !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
[1239]	279	!
[1492]	280	! !* total energy produce by LC : cumulative sum over jk
[9019]	281	zpelc(:,:,1) = MAX( rn2b(:,:,1), 0._wp ) * pdepw(:,:,1) * p_e3w(:,:,1)
[1239]	282	DO jk = 2, jpk
[9019]	283	zpelc(:,:,jk) = zpelc(:,:,jk-1) + MAX( rn2b(:,:,jk), 0._wp ) * pdepw(:,:,jk) * p_e3w(:,:,jk)
[1239]	284	END DO
[1492]	285	! !* finite Langmuir Circulation depth
[1705]	286	zcof = 0.5 * 0.016 * 0.016 / ( zrhoa * zcdrag )
[7753]	287	imlc(:,:) = mbkt(:,:) + 1 ! Initialization to the number of w ocean point (=2 over land)
[1239]	288	DO jk = jpkm1, 2, -1
[1492]	289	DO jj = 1, jpj ! Last w-level at which zpelc>=0.5usus
	290	DO ji = 1, jpi ! with us=0.016*wind(starting from jpk-1)
[1705]	291	zus = zcof * taum(ji,jj)
[1239]	292	IF( zpelc(ji,jj,jk) > zus ) imlc(ji,jj) = jk
	293	END DO
	294	END DO
	295	END DO
[1492]	296	! ! finite LC depth
	297	DO jj = 1, jpj
[1239]	298	DO ji = 1, jpi
[9019]	299	zhlc(ji,jj) = pdepw(ji,jj,imlc(ji,jj))
[1239]	300	END DO
	301	END DO
[1705]	302	zcof = 0.016 / SQRT( zrhoa * zcdrag )
[10425]	303	DO jj = 2, jpjm1
	304	DO ji = fs_2, fs_jpim1 ! vector opt.
	305	zus = zcof * SQRT( taum(ji,jj) ) ! Stokes drift
[13249]	306	zus3(ji,jj) = ( 1._wp - zice_fra(ji,jj) ) * zus * zus * zus * tmask(ji,jj,1) ! zus > 0. ok
[10425]	307	END DO
	308	END DO
[1492]	309	DO jk = 2, jpkm1 !* TKE Langmuir circulation source term added to en
[1239]	310	DO jj = 2, jpjm1
	311	DO ji = fs_2, fs_jpim1 ! vector opt.
[13249]	312	IF ( zus3(ji,jj) /= 0. ) THEN
[10425]	313	! vertical velocity due to LC
	314	IF ( pdepw(ji,jj,jk) - zhlc(ji,jj) < 0 .AND. wmask(ji,jj,jk) /= 0. ) THEN
	315	! ! vertical velocity due to LC
[13249]	316	zwlc = rn_lc * SIN( rpi * pdepw(ji,jj,jk) / zhlc(ji,jj) )
[10425]	317	! ! TKE Langmuir circulation source term
[13249]	318	en(ji,jj,jk) = en(ji,jj,jk) + rdt * zus3(ji,jj) * ( zwlc * zwlc * zwlc ) / zhlc(ji,jj)
[10425]	319	ENDIF
	320	ENDIF
[1239]	321	END DO
	322	END DO
	323	END DO
	324	!
	325	ENDIF
[1492]	326	!
	327	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	328	! ! Now Turbulent kinetic energy (output in en)
	329	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	330	! ! Resolution of a tridiagonal linear system by a "methode de chasse"
	331	! ! computation from level 2 to jpkm1 (e(1) already computed and e(jpk)=0 ).
	332	! ! zdiag : diagonal zd_up : upper diagonal zd_lw : lower diagonal
	333	!
[9019]	334	IF( nn_pdl == 1 ) THEN !* Prandtl number = F( Ri )
[5656]	335	DO jk = 2, jpkm1
	336	DO jj = 2, jpjm1
[9019]	337	DO ji = 2, jpim1
	338	! ! local Richardson number
	339	zri = MAX( rn2b(ji,jj,jk), 0._wp ) * p_avm(ji,jj,jk) / ( p_sh2(ji,jj,jk) + rn_bshear )
	340	! ! inverse of Prandtl number
[5656]	341	apdlr(ji,jj,jk) = MAX( 0.1_wp, ri_cri / MAX( ri_cri , zri ) )
	342	END DO
	343	END DO
	344	END DO
	345	ENDIF
[5836]	346	!
[5120]	347	DO jk = 2, jpkm1 !* Matrix and right hand side in en
	348	DO jj = 2, jpjm1
	349	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	350	zcof = zfact1 * tmask(ji,jj,jk)
[9019]	351	! ! A minimum of 2.e-5 m2/s is imposed on TKE vertical
	352	! ! eddy coefficient (ensure numerical stability)
	353	zzd_up = zcof * MAX( p_avm(ji,jj,jk+1) + p_avm(ji,jj,jk ) , 2.e-5_wp ) & ! upper diagonal
	354	& / ( p_e3t(ji,jj,jk ) * p_e3w(ji,jj,jk ) )
	355	zzd_lw = zcof * MAX( p_avm(ji,jj,jk ) + p_avm(ji,jj,jk-1) , 2.e-5_wp ) & ! lower diagonal
	356	& / ( p_e3t(ji,jj,jk-1) * p_e3w(ji,jj,jk ) )
[5656]	357	!
[1492]	358	zd_up(ji,jj,jk) = zzd_up ! Matrix (zdiag, zd_up, zd_lw)
	359	zd_lw(ji,jj,jk) = zzd_lw
[9019]	360	zdiag(ji,jj,jk) = 1._wp - zzd_lw - zzd_up + zfact2 * dissl(ji,jj,jk) * wmask(ji,jj,jk)
[1239]	361	!
[1492]	362	! ! right hand side in en
[9019]	363	en(ji,jj,jk) = en(ji,jj,jk) + rdt * ( p_sh2(ji,jj,jk) & ! shear
	364	& - p_avt(ji,jj,jk) * rn2(ji,jj,jk) & ! stratification
	365	& + zfact3 * dissl(ji,jj,jk) * en(ji,jj,jk) & ! dissipation
	366	& ) * wmask(ji,jj,jk)
[1239]	367	END DO
[5120]	368	END DO
	369	END DO
	370	! !* Matrix inversion from level 2 (tke prescribed at level 1)
	371	DO jk = 3, jpkm1 ! First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1
	372	DO jj = 2, jpjm1
	373	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	374	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]	375	END DO
[5120]	376	END DO
	377	END DO
[5836]	378	DO jj = 2, jpjm1 ! Second recurrence : Lk = RHSk - Lk / Dk-1 * Lk-1
[5120]	379	DO ji = fs_2, fs_jpim1 ! vector opt.
	380	zd_lw(ji,jj,2) = en(ji,jj,2) - zd_lw(ji,jj,2) * en(ji,jj,1) ! Surface boudary conditions on tke
	381	END DO
	382	END DO
	383	DO jk = 3, jpkm1
	384	DO jj = 2, jpjm1
	385	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	386	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]	387	END DO
[5120]	388	END DO
	389	END DO
[5836]	390	DO jj = 2, jpjm1 ! thrid recurrence : Ek = ( Lk - Uk * Ek+1 ) / Dk
[5120]	391	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	392	en(ji,jj,jpkm1) = zd_lw(ji,jj,jpkm1) / zdiag(ji,jj,jpkm1)
[5120]	393	END DO
	394	END DO
	395	DO jk = jpk-2, 2, -1
	396	DO jj = 2, jpjm1
	397	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	398	en(ji,jj,jk) = ( zd_lw(ji,jj,jk) - zd_up(ji,jj,jk) * en(ji,jj,jk+1) ) / zdiag(ji,jj,jk)
[1239]	399	END DO
[5120]	400	END DO
	401	END DO
	402	DO jk = 2, jpkm1 ! set the minimum value of tke
	403	DO jj = 2, jpjm1
	404	DO ji = fs_2, fs_jpim1 ! vector opt.
	405	en(ji,jj,jk) = MAX( en(ji,jj,jk), rn_emin ) * wmask(ji,jj,jk)
[1239]	406	END DO
	407	END DO
	408	END DO
[9019]	409	!
[1492]	410	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	411	! ! TKE due to surface and internal wave breaking
	412	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[6140]	413	!!gm BUG : in the exp remove the depth of ssh !!!
[9019]	414	!!gm i.e. use gde3w in argument (pdepw)
[6140]	415
	416
[2528]	417	IF( nn_etau == 1 ) THEN !* penetration below the mixed layer (rn_efr fraction)
[13249]	418	DO jk = 2, jpkm1 ! nn_eice=0 : ON below sea-ice ; nn_eice>0 : partly OFF
[1239]	419	DO jj = 2, jpjm1
	420	DO ji = fs_2, fs_jpim1 ! vector opt.
[9019]	421	en(ji,jj,jk) = en(ji,jj,jk) + rn_efr * en(ji,jj,1) * EXP( -pdepw(ji,jj,jk) / htau(ji,jj) ) &
[13249]	422	& * ( 1._wp - zice_fra(ji,jj) ) * wmask(ji,jj,jk) * tmask(ji,jj,1)
[1239]	423	END DO
	424	END DO
[1492]	425	END DO
[2528]	426	ELSEIF( nn_etau == 2 ) THEN !* act only at the base of the mixed layer (jk=nmln) (rn_efr fraction)
[1492]	427	DO jj = 2, jpjm1
	428	DO ji = fs_2, fs_jpim1 ! vector opt.
	429	jk = nmln(ji,jj)
[9019]	430	en(ji,jj,jk) = en(ji,jj,jk) + rn_efr * en(ji,jj,1) * EXP( -pdepw(ji,jj,jk) / htau(ji,jj) ) &
[13249]	431	& * ( 1._wp - zice_fra(ji,jj) ) * wmask(ji,jj,jk) * tmask(ji,jj,1)
[1239]	432	END DO
[1492]	433	END DO
[2528]	434	ELSEIF( nn_etau == 3 ) THEN !* penetration belox the mixed layer (HF variability)
[1705]	435	DO jk = 2, jpkm1
	436	DO jj = 2, jpjm1
	437	DO ji = fs_2, fs_jpim1 ! vector opt.
	438	ztx2 = utau(ji-1,jj ) + utau(ji,jj)
	439	zty2 = vtau(ji ,jj-1) + vtau(ji,jj)
[4990]	440	ztau = 0.5_wp * SQRT( ztx2 * ztx2 + zty2 * zty2 ) * tmask(ji,jj,1) ! module of the mean stress
[2528]	441	zdif = taum(ji,jj) - ztau ! mean of modulus - modulus of the mean
	442	zdif = rhftau_scl * MAX( 0._wp, zdif + rhftau_add ) ! apply some modifications...
[9019]	443	en(ji,jj,jk) = en(ji,jj,jk) + zbbrau * zdif * EXP( -pdepw(ji,jj,jk) / htau(ji,jj) ) &
[13249]	444	& * ( 1._wp - zice_fra(ji,jj) ) * wmask(ji,jj,jk) * tmask(ji,jj,1)
[1705]	445	END DO
	446	END DO
	447	END DO
[1239]	448	ENDIF
[1492]	449	!
[1239]	450	END SUBROUTINE tke_tke
	451
[1492]	452
[9019]	453	SUBROUTINE tke_avn( pdepw, p_e3t, p_e3w, p_avm, p_avt )
[1239]	454	!!----------------------------------------------------------------------
[1492]	455	!! * ROUTINE tke_avn *
[1239]	456	!!
[1492]	457	!! ** Purpose : Compute the vertical eddy viscosity and diffusivity
	458	!!
	459	!! ** Method : At this stage, en, the now TKE, is known (computed in
	460	!! the tke_tke routine). First, the now mixing lenth is
	461	!! computed from en and the strafification (N^2), then the mixings
	462	!! coefficients are computed.
	463	!! - Mixing length : a first evaluation of the mixing lengh
	464	!! scales is:
	465	!! mxl = sqrt(2*en) / N
	466	!! where N is the brunt-vaisala frequency, with a minimum value set
[2528]	467	!! to rmxl_min (rn_mxl0) in the interior (surface) ocean.
[1492]	468	!! The mixing and dissipative length scale are bound as follow :
	469	!! nn_mxl=0 : mxl bounded by the distance to surface and bottom.
	470	!! zmxld = zmxlm = mxl
	471	!! nn_mxl=1 : mxl bounded by the e3w and zmxld = zmxlm = mxl
	472	!! nn_mxl=2 : mxl bounded such that the vertical derivative of mxl is
	473	!! less than 1 (\|d/dz(mxl)\|<1) and zmxld = zmxlm = mxl
	474	!! nn_mxl=3 : mxl is bounded from the surface to the bottom usings
	475	!! \|d/dz(xml)\|<1 to obtain lup, and from the bottom to
	476	!! the surface to obtain ldown. the resulting length
	477	!! scales are:
	478	!! zmxld = sqrt( lup * ldown )
	479	!! zmxlm = min ( lup , ldown )
	480	!! - Vertical eddy viscosity and diffusivity:
	481	!! avm = max( avtb, rn_ediff * zmxlm * en^1/2 )
	482	!! avt = max( avmb, pdlr * avm )
	483	!! with pdlr=1 if nn_pdl=0, pdlr=1/pdl=F(Ri) otherwise.
	484	!!
[9019]	485	!! ** Action : - avt, avm : now vertical eddy diffusivity and viscosity (w-point)
[1239]	486	!!----------------------------------------------------------------------
[9019]	487	USE zdf_oce , ONLY : en, avtb, avmb, avtb_2d ! ocean vertical physics
	488	!!
	489	REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: pdepw ! depth (w-points)
	490	REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: p_e3t, p_e3w ! level thickness (t- & w-points)
	491	REAL(wp), DIMENSION(:,:,:), INTENT( out) :: p_avm, p_avt ! vertical eddy viscosity & diffusivity (w-points)
	492	!
[2715]	493	INTEGER :: ji, jj, jk ! dummy loop indices
[9019]	494	REAL(wp) :: zrn2, zraug, zcoef, zav ! local scalars
	495	REAL(wp) :: zdku, zdkv, zsqen ! - -
[13006]	496	REAL(wp) :: zemxl, zemlm, zemlp, zmaxice ! - -
[9019]	497	REAL(wp), DIMENSION(jpi,jpj,jpk) :: zmxlm, zmxld ! 3D workspace
[1239]	498	!!--------------------------------------------------------------------
[3294]	499	!
[1492]	500	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	501	! ! Mixing length
	502	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	503	!
	504	! !* Buoyancy length scale: l=sqrt(2e/n*2)
	505	!
[5120]	506	! initialisation of interior minimum value (avoid a 2d loop with mikt)
[7753]	507	zmxlm(:,:,:) = rmxl_min
	508	zmxld(:,:,:) = rmxl_min
[13249]	509	!
	510	IF( ln_mxl0 ) THEN ! surface mixing length = F(stress) : l=vkarmn2.e5taum/(rau0*g)
[13006]	511	!
[9019]	512	zraug = vkarmn * 2.e5_wp / ( rau0 * grav )
[13006]	513	#if ! defined key_si3 && ! defined key_cice
[13249]	514	DO jj = 2, jpjm1 ! No sea-ice
[4990]	515	DO ji = fs_2, fs_jpim1
[13006]	516	zmxlm(ji,jj,1) = zraug * taum(ji,jj) * tmask(ji,jj,1)
[4990]	517	END DO
	518	END DO
[13006]	519	#else
[13249]	520
[13006]	521	SELECT CASE( nn_mxlice ) ! Type of scaling under sea-ice
	522	!
	523	CASE( 0 ) ! No scaling under sea-ice
	524	DO jj = 2, jpjm1
	525	DO ji = fs_2, fs_jpim1
	526	zmxlm(ji,jj,1) = zraug * taum(ji,jj) * tmask(ji,jj,1)
	527	END DO
	528	END DO
	529	!
[13249]	530	CASE( 1 ) ! scaling with constant sea-ice thickness
[13006]	531	DO jj = 2, jpjm1
	532	DO ji = fs_2, fs_jpim1
[13249]	533	zmxlm(ji,jj,1) = ( ( 1._wp - fr_i(ji,jj) ) * zraug * taum(ji,jj) + &
	534	& fr_i(ji,jj) * rn_mxlice ) * tmask(ji,jj,1)
[13006]	535	END DO
	536	END DO
	537	!
[13249]	538	CASE( 2 ) ! scaling with mean sea-ice thickness
[13006]	539	DO jj = 2, jpjm1
	540	DO ji = fs_2, fs_jpim1
	541	#if defined key_si3
[13249]	542	zmxlm(ji,jj,1) = ( ( 1._wp - fr_i(ji,jj) ) * zraug * taum(ji,jj) + &
	543	& fr_i(ji,jj) * hm_i(ji,jj) * 2._wp ) * tmask(ji,jj,1)
[13006]	544	#elif defined key_cice
	545	zmaxice = MAXVAL( h_i(ji,jj,:) )
[13249]	546	zmxlm(ji,jj,1) = ( ( 1._wp - fr_i(ji,jj) ) * zraug * taum(ji,jj) + &
	547	& fr_i(ji,jj) * zmaxice ) * tmask(ji,jj,1)
[13006]	548	#endif
	549	END DO
	550	END DO
	551	!
[13249]	552	CASE( 3 ) ! scaling with max sea-ice thickness
[13006]	553	DO jj = 2, jpjm1
	554	DO ji = fs_2, fs_jpim1
	555	zmaxice = MAXVAL( h_i(ji,jj,:) )
[13249]	556	zmxlm(ji,jj,1) = ( ( 1._wp - fr_i(ji,jj) ) * zraug * taum(ji,jj) + &
	557	& fr_i(ji,jj) * zmaxice ) * tmask(ji,jj,1)
[13006]	558	END DO
	559	END DO
	560	!
	561	END SELECT
	562	#endif
	563	!
	564	DO jj = 2, jpjm1
	565	DO ji = fs_2, fs_jpim1
	566	zmxlm(ji,jj,1) = MAX( rn_mxl0, zmxlm(ji,jj,1) )
	567	END DO
	568	END DO
	569	!
	570	ELSE
[7753]	571	zmxlm(:,:,1) = rn_mxl0
[1239]	572	ENDIF
	573	!
[5120]	574	DO jk = 2, jpkm1 ! interior value : l=sqrt(2*e/n^2)
	575	DO jj = 2, jpjm1
	576	DO ji = fs_2, fs_jpim1 ! vector opt.
[1239]	577	zrn2 = MAX( rn2(ji,jj,jk), rsmall )
[5836]	578	zmxlm(ji,jj,jk) = MAX( rmxl_min, SQRT( 2._wp * en(ji,jj,jk) / zrn2 ) )
[1239]	579	END DO
	580	END DO
	581	END DO
[1492]	582	!
	583	! !* Physical limits for the mixing length
	584	!
[7753]	585	zmxld(:,:, 1 ) = zmxlm(:,:,1) ! surface set to the minimum value
	586	zmxld(:,:,jpk) = rmxl_min ! last level set to the minimum value
[1492]	587	!
[1239]	588	SELECT CASE ( nn_mxl )
	589	!
[5836]	590	!!gm Not sure of that coding for ISF....
[9019]	591	! where wmask = 0 set zmxlm == p_e3w
[1239]	592	CASE ( 0 ) ! bounded by the distance to surface and bottom
[5120]	593	DO jk = 2, jpkm1
	594	DO jj = 2, jpjm1
	595	DO ji = fs_2, fs_jpim1 ! vector opt.
[9019]	596	zemxl = MIN( pdepw(ji,jj,jk) - pdepw(ji,jj,mikt(ji,jj)), zmxlm(ji,jj,jk), &
	597	& pdepw(ji,jj,mbkt(ji,jj)+1) - pdepw(ji,jj,jk) )
[5120]	598	! wmask prevent zmxlm = 0 if jk = mikt(ji,jj)
[9019]	599	zmxlm(ji,jj,jk) = zemxl * wmask(ji,jj,jk) + MIN( zmxlm(ji,jj,jk) , p_e3w(ji,jj,jk) ) * (1 - wmask(ji,jj,jk))
	600	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]	601	END DO
	602	END DO
	603	END DO
	604	!
	605	CASE ( 1 ) ! bounded by the vertical scale factor
[5120]	606	DO jk = 2, jpkm1
	607	DO jj = 2, jpjm1
	608	DO ji = fs_2, fs_jpim1 ! vector opt.
[9019]	609	zemxl = MIN( p_e3w(ji,jj,jk), zmxlm(ji,jj,jk) )
[1239]	610	zmxlm(ji,jj,jk) = zemxl
	611	zmxld(ji,jj,jk) = zemxl
	612	END DO
	613	END DO
	614	END DO
	615	!
	616	CASE ( 2 ) ! \|dk[xml]\| bounded by e3t :
[5120]	617	DO jk = 2, jpkm1 ! from the surface to the bottom :
	618	DO jj = 2, jpjm1
	619	DO ji = fs_2, fs_jpim1 ! vector opt.
[9019]	620	zmxlm(ji,jj,jk) = MIN( zmxlm(ji,jj,jk-1) + p_e3t(ji,jj,jk-1), zmxlm(ji,jj,jk) )
[1239]	621	END DO
[5120]	622	END DO
	623	END DO
	624	DO jk = jpkm1, 2, -1 ! from the bottom to the surface :
	625	DO jj = 2, jpjm1
	626	DO ji = fs_2, fs_jpim1 ! vector opt.
[9019]	627	zemxl = MIN( zmxlm(ji,jj,jk+1) + p_e3t(ji,jj,jk+1), zmxlm(ji,jj,jk) )
[1239]	628	zmxlm(ji,jj,jk) = zemxl
	629	zmxld(ji,jj,jk) = zemxl
	630	END DO
	631	END DO
	632	END DO
	633	!
	634	CASE ( 3 ) ! lup and ldown, \|dk[xml]\| bounded by e3t :
[5120]	635	DO jk = 2, jpkm1 ! from the surface to the bottom : lup
	636	DO jj = 2, jpjm1
	637	DO ji = fs_2, fs_jpim1 ! vector opt.
[9019]	638	zmxld(ji,jj,jk) = MIN( zmxld(ji,jj,jk-1) + p_e3t(ji,jj,jk-1), zmxlm(ji,jj,jk) )
[1239]	639	END DO
[5120]	640	END DO
	641	END DO
	642	DO jk = jpkm1, 2, -1 ! from the bottom to the surface : ldown
	643	DO jj = 2, jpjm1
	644	DO ji = fs_2, fs_jpim1 ! vector opt.
[9019]	645	zmxlm(ji,jj,jk) = MIN( zmxlm(ji,jj,jk+1) + p_e3t(ji,jj,jk+1), zmxlm(ji,jj,jk) )
[1239]	646	END DO
	647	END DO
	648	END DO
	649	DO jk = 2, jpkm1
	650	DO jj = 2, jpjm1
	651	DO ji = fs_2, fs_jpim1 ! vector opt.
	652	zemlm = MIN ( zmxld(ji,jj,jk), zmxlm(ji,jj,jk) )
	653	zemlp = SQRT( zmxld(ji,jj,jk) * zmxlm(ji,jj,jk) )
	654	zmxlm(ji,jj,jk) = zemlm
	655	zmxld(ji,jj,jk) = zemlp
	656	END DO
	657	END DO
	658	END DO
	659	!
	660	END SELECT
[1492]	661	!
	662	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[9019]	663	! ! Vertical eddy viscosity and diffusivity (avm and avt)
[1492]	664	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	665	DO jk = 1, jpkm1 !* vertical eddy viscosity & diffivity at w-points
[1239]	666	DO jj = 2, jpjm1
	667	DO ji = fs_2, fs_jpim1 ! vector opt.
	668	zsqen = SQRT( en(ji,jj,jk) )
	669	zav = rn_ediff * zmxlm(ji,jj,jk) * zsqen
[9019]	670	p_avm(ji,jj,jk) = MAX( zav, avmb(jk) ) * wmask(ji,jj,jk)
	671	p_avt(ji,jj,jk) = MAX( zav, avtb_2d(ji,jj) * avtb(jk) ) * wmask(ji,jj,jk)
[1239]	672	dissl(ji,jj,jk) = zsqen / zmxld(ji,jj,jk)
	673	END DO
	674	END DO
	675	END DO
[1492]	676	!
	677	!
	678	IF( nn_pdl == 1 ) THEN !* Prandtl number case: update avt
[5120]	679	DO jk = 2, jpkm1
	680	DO jj = 2, jpjm1
	681	DO ji = fs_2, fs_jpim1 ! vector opt.
[12697]	682	p_avt(ji,jj,jk) = MAX( apdlr(ji,jj,jk) * p_avt(ji,jj,jk), avtb_2d(ji,jj) * avtb(jk) ) * wmask(ji,jj,jk)
[1239]	683	END DO
	684	END DO
	685	END DO
	686	ENDIF
[9019]	687	!
[1239]	688	IF(ln_ctl) THEN
[9440]	689	CALL prt_ctl( tab3d_1=en , clinfo1=' tke - e: ', tab3d_2=p_avt, clinfo2=' t: ', kdim=jpk)
	690	CALL prt_ctl( tab3d_1=p_avm, clinfo1=' tke - m: ', kdim=jpk )
[1239]	691	ENDIF
	692	!
[1492]	693	END SUBROUTINE tke_avn
[1239]	694
[1492]	695
[2528]	696	SUBROUTINE zdf_tke_init
[1239]	697	!!----------------------------------------------------------------------
[2528]	698	!! * ROUTINE zdf_tke_init *
[1239]	699	!!
	700	!! ** Purpose : Initialization of the vertical eddy diffivity and
[1492]	701	!! viscosity when using a tke turbulent closure scheme
[1239]	702	!!
[1601]	703	!! ** Method : Read the namzdf_tke namelist and check the parameters
[1492]	704	!! called at the first timestep (nit000)
[1239]	705	!!
[1601]	706	!! ** input : Namlist namzdf_tke
[1239]	707	!!
	708	!! ** Action : Increase by 1 the nstop flag is setting problem encounter
	709	!!----------------------------------------------------------------------
[9019]	710	USE zdf_oce , ONLY : ln_zdfiwm ! Internal Wave Mixing flag
	711	!!
[1239]	712	INTEGER :: ji, jj, jk ! dummy loop indices
[4147]	713	INTEGER :: ios
[1239]	714	!!
[13006]	715	NAMELIST/namzdf_tke/ rn_ediff, rn_ediss , rn_ebb , rn_emin , &
	716	& rn_emin0, rn_bshear, nn_mxl , ln_mxl0 , &
	717	& rn_mxl0 , nn_mxlice, rn_mxlice, &
[13279]	718	& nn_pdl , ln_lc , rn_lc, &
[13249]	719	& nn_etau , nn_htau , rn_efr , nn_eice
[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)
[11536]	724	901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_tke in reference namelist' )
[4147]	725
	726	REWIND( numnam_cfg ) ! Namelist namzdf_tke in configuration namelist : Turbulent Kinetic Energy
	727	READ ( numnam_cfg, namzdf_tke, IOSTAT = ios, ERR = 902 )
[11536]	728	902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namzdf_tke in configuration namelist' )
[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
[2715]	732	!
[1492]	733	IF(lwp) THEN !* Control print
[1239]	734	WRITE(numout,*)
[2528]	735	WRITE(numout,*) 'zdf_tke_init : tke turbulent closure scheme - initialisation'
	736	WRITE(numout,*) '~~~~~~~~~~~~'
[1601]	737	WRITE(numout,*) ' Namelist namzdf_tke : set tke mixing parameters'
[1705]	738	WRITE(numout,*) ' coef. to compute avt rn_ediff = ', rn_ediff
	739	WRITE(numout,*) ' Kolmogoroff dissipation coef. rn_ediss = ', rn_ediss
	740	WRITE(numout,*) ' tke surface input coef. rn_ebb = ', rn_ebb
	741	WRITE(numout,*) ' minimum value of tke rn_emin = ', rn_emin
	742	WRITE(numout,*) ' surface minimum value of tke rn_emin0 = ', rn_emin0
[9019]	743	WRITE(numout,*) ' prandl number flag nn_pdl = ', nn_pdl
[1705]	744	WRITE(numout,*) ' background shear (>0) rn_bshear = ', rn_bshear
	745	WRITE(numout,*) ' mixing length type nn_mxl = ', nn_mxl
[9019]	746	WRITE(numout,*) ' surface mixing length = F(stress) or not ln_mxl0 = ', ln_mxl0
	747	WRITE(numout,*) ' surface mixing length minimum value rn_mxl0 = ', rn_mxl0
[13006]	748	IF( ln_mxl0 ) THEN
	749	WRITE(numout,*) ' type of scaling under sea-ice nn_mxlice = ', nn_mxlice
	750	IF( nn_mxlice == 1 ) &
	751	WRITE(numout,*) ' ice thickness when scaling under sea-ice rn_mxlice = ', rn_mxlice
[13249]	752	SELECT CASE( nn_mxlice ) ! Type of scaling under sea-ice
	753	CASE( 0 ) ; WRITE(numout,*) ' ==>>> No scaling under sea-ice'
	754	CASE( 1 ) ; WRITE(numout,*) ' ==>>> scaling with constant sea-ice thickness'
	755	CASE( 2 ) ; WRITE(numout,*) ' ==>>> scaling with mean sea-ice thickness'
	756	CASE( 3 ) ; WRITE(numout,*) ' ==>>> scaling with max sea-ice thickness'
	757	CASE DEFAULT
	758	CALL ctl_stop( 'zdf_tke_init: wrong value for nn_mxlice, should be 0,1,2,3 or 4')
	759	END SELECT
[13006]	760	ENDIF
[9019]	761	WRITE(numout,*) ' Langmuir cells parametrization ln_lc = ', ln_lc
	762	WRITE(numout,*) ' coef to compute vertical velocity of LC rn_lc = ', rn_lc
[1705]	763	WRITE(numout,*) ' test param. to add tke induced by wind nn_etau = ', nn_etau
[9019]	764	WRITE(numout,*) ' type of tke penetration profile nn_htau = ', nn_htau
	765	WRITE(numout,*) ' fraction of TKE that penetrates rn_efr = ', rn_efr
[13249]	766	WRITE(numout,*) ' langmuir & surface wave breaking under ice nn_eice = ', nn_eice
	767	SELECT CASE( nn_eice )
	768	CASE( 0 ) ; WRITE(numout,*) ' ==>>> no impact of ice cover on langmuir & surface wave breaking'
	769	CASE( 1 ) ; WRITE(numout,) ' ==>>> weigthed by 1-TANH( fr_i(:,:) 10 )'
	770	CASE( 2 ) ; WRITE(numout,*) ' ==>>> weighted by 1-fr_i(:,:)'
	771	CASE( 3 ) ; WRITE(numout,) ' ==>>> weighted by 1-MIN( 1, 4 fr_i(:,:) )'
	772	CASE DEFAULT
	773	CALL ctl_stop( 'zdf_tke_init: wrong value for nn_eice, should be 0,1,2, or 3')
	774	END SELECT
[13279]	775	IF( .NOT.ln_drg_OFF ) THEN
[9169]	776	WRITE(numout,*)
[9019]	777	WRITE(numout,*) ' Namelist namdrg_top/_bot: used values:'
	778	WRITE(numout,*) ' top ocean cavity roughness (m) rn_z0(_top)= ', r_z0_top
	779	WRITE(numout,*) ' Bottom seafloor roughness (m) rn_z0(_bot)= ', r_z0_bot
	780	ENDIF
	781	WRITE(numout,*)
[9190]	782	WRITE(numout,*) ' ==>>> critical Richardson nb with your parameters ri_cri = ', ri_cri
[9019]	783	WRITE(numout,*)
[1239]	784	ENDIF
[2715]	785	!
[9019]	786	IF( ln_zdfiwm ) THEN ! Internal wave-driven mixing
	787	rn_emin = 1.e-10_wp ! specific values of rn_emin & rmxl_min are used
	788	rmxl_min = 1.e-03_wp ! associated avt minimum = molecular salt diffusivity (10^-9 m2/s)
[9190]	789	IF(lwp) WRITE(numout,*) ' ==>>> Internal wave-driven mixing case: force rn_emin = 1.e-10 and rmxl_min = 1.e-3'
[9019]	790	ELSE ! standard case : associated avt minimum = molecular viscosity (10^-6 m2/s)
	791	rmxl_min = 1.e-6_wp / ( rn_ediff * SQRT( rn_emin ) ) ! resulting minimum length to recover molecular viscosity
[9190]	792	IF(lwp) WRITE(numout,*) ' ==>>> minimum mixing length with your parameters rmxl_min = ', rmxl_min
[9019]	793	ENDIF
	794	!
[2715]	795	! ! allocate tke arrays
	796	IF( zdf_tke_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_tke_init : unable to allocate arrays' )
	797	!
[1492]	798	! !* Check of some namelist values
[4990]	799	IF( nn_mxl < 0 .OR. nn_mxl > 3 ) CALL ctl_stop( 'bad flag: nn_mxl is 0, 1 or 2 ' )
	800	IF( nn_pdl < 0 .OR. nn_pdl > 1 ) CALL ctl_stop( 'bad flag: nn_pdl is 0 or 1 ' )
	801	IF( nn_htau < 0 .OR. nn_htau > 1 ) CALL ctl_stop( 'bad flag: nn_htau is 0, 1 or 2 ' )
[5407]	802	IF( nn_etau == 3 .AND. .NOT. ln_cpl ) CALL ctl_stop( 'nn_etau == 3 : HF taum only known in coupled mode' )
[9019]	803	!
[2528]	804	IF( ln_mxl0 ) THEN
[9169]	805	IF(lwp) WRITE(numout,*)
[9190]	806	IF(lwp) WRITE(numout,*) ' ==>>> use a surface mixing length = F(stress) : set rn_mxl0 = rmxl_min'
[2528]	807	rn_mxl0 = rmxl_min
	808	ENDIF
	809
[1492]	810	IF( nn_etau == 2 ) CALL zdf_mxl( nit000 ) ! Initialization of nmln
[1239]	811
[1492]	812	! !* depth of penetration of surface tke
	813	IF( nn_etau /= 0 ) THEN
[1601]	814	SELECT CASE( nn_htau ) ! Choice of the depth of penetration
[2528]	815	CASE( 0 ) ! constant depth penetration (here 10 meters)
[7753]	816	htau(:,:) = 10._wp
[2528]	817	CASE( 1 ) ! F(latitude) : 0.5m to 30m poleward of 40 degrees
[7753]	818	htau(:,:) = MAX( 0.5_wp, MIN( 30._wp, 45._wp* ABS( SIN( rpi/180._wp * gphit(:,:) ) ) ) )
[1492]	819	END SELECT
	820	ENDIF
[9019]	821	! !* read or initialize all required files
	822	CALL tke_rst( nit000, 'READ' ) ! (en, avt_k, avm_k, dissl)
[1239]	823	!
[9367]	824	IF( lwxios ) THEN
	825	CALL iom_set_rstw_var_active('en')
	826	CALL iom_set_rstw_var_active('avt_k')
	827	CALL iom_set_rstw_var_active('avm_k')
	828	CALL iom_set_rstw_var_active('dissl')
	829	ENDIF
[2528]	830	END SUBROUTINE zdf_tke_init
[1239]	831
	832
[1531]	833	SUBROUTINE tke_rst( kt, cdrw )
[9019]	834	!!---------------------------------------------------------------------
	835	!! * ROUTINE tke_rst *
	836	!!
	837	!! ** Purpose : Read or write TKE file (en) in restart file
	838	!!
	839	!! ** Method : use of IOM library
	840	!! if the restart does not contain TKE, en is either
	841	!! set to rn_emin or recomputed
	842	!!----------------------------------------------------------------------
	843	USE zdf_oce , ONLY : en, avt_k, avm_k ! ocean vertical physics
	844	!!
	845	INTEGER , INTENT(in) :: kt ! ocean time-step
	846	CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag
	847	!
	848	INTEGER :: jit, jk ! dummy loop indices
	849	INTEGER :: id1, id2, id3, id4 ! local integers
	850	!!----------------------------------------------------------------------
	851	!
	852	IF( TRIM(cdrw) == 'READ' ) THEN ! Read/initialise
	853	! ! ---------------
	854	IF( ln_rstart ) THEN !* Read the restart file
	855	id1 = iom_varid( numror, 'en' , ldstop = .FALSE. )
	856	id2 = iom_varid( numror, 'avt_k', ldstop = .FALSE. )
	857	id3 = iom_varid( numror, 'avm_k', ldstop = .FALSE. )
	858	id4 = iom_varid( numror, 'dissl', ldstop = .FALSE. )
	859	!
	860	IF( MIN( id1, id2, id3, id4 ) > 0 ) THEN ! fields exist
[9367]	861	CALL iom_get( numror, jpdom_autoglo, 'en' , en , ldxios = lrxios )
	862	CALL iom_get( numror, jpdom_autoglo, 'avt_k', avt_k, ldxios = lrxios )
	863	CALL iom_get( numror, jpdom_autoglo, 'avm_k', avm_k, ldxios = lrxios )
	864	CALL iom_get( numror, jpdom_autoglo, 'dissl', dissl, ldxios = lrxios )
[9019]	865	ELSE ! start TKE from rest
[9169]	866	IF(lwp) WRITE(numout,*)
[9190]	867	IF(lwp) WRITE(numout,*) ' ==>>> previous run without TKE scheme, set en to background values'
[9019]	868	en (:,:,:) = rn_emin * wmask(:,:,:)
	869	dissl(:,:,:) = 1.e-12_wp
	870	! avt_k, avm_k already set to the background value in zdf_phy_init
	871	ENDIF
	872	ELSE !* Start from rest
[9169]	873	IF(lwp) WRITE(numout,*)
[9190]	874	IF(lwp) WRITE(numout,*) ' ==>>> start from rest: set en to the background value'
[9019]	875	en (:,:,:) = rn_emin * wmask(:,:,:)
	876	dissl(:,:,:) = 1.e-12_wp
	877	! avt_k, avm_k already set to the background value in zdf_phy_init
	878	ENDIF
	879	!
	880	ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN ! Create restart file
	881	! ! -------------------
[9169]	882	IF(lwp) WRITE(numout,*) '---- tke_rst ----'
[9367]	883	IF( lwxios ) CALL iom_swap( cwxios_context )
	884	CALL iom_rstput( kt, nitrst, numrow, 'en' , en , ldxios = lwxios )
	885	CALL iom_rstput( kt, nitrst, numrow, 'avt_k', avt_k, ldxios = lwxios )
	886	CALL iom_rstput( kt, nitrst, numrow, 'avm_k', avm_k, ldxios = lwxios )
	887	CALL iom_rstput( kt, nitrst, numrow, 'dissl', dissl, ldxios = lwxios )
	888	IF( lwxios ) CALL iom_swap( cxios_context )
[9019]	889	!
	890	ENDIF
	891	!
[1531]	892	END SUBROUTINE tke_rst
[1239]	893
	894	!!======================================================================
[1531]	895	END MODULE zdftke

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