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zdftke.F90 in NEMO/trunk/src/OCE/ZDF – NEMO

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source: NEMO/trunk/src/OCE/ZDF/zdftke.F90 @ 13461

Last change on this file since 13461 was 13461, checked in by smasson, 4 years ago
trunk: merge r4.0-HEAD 13263:13278 into the trunk, see #2523
Property svn:keywords set to `Id`
File size: 41.9 KB

Rev	Line
[1531]	1	MODULE zdftke
[1239]	2	!!======================================================================
[1531]	3	!! * MODULE zdftke *
[1239]	4	!! Ocean physics: vertical mixing coefficient computed from the tke
	5	!! turbulent closure parameterization
	6	!!=====================================================================
[1492]	7	!! History : OPA ! 1991-03 (b. blanke) Original code
	8	!! 7.0 ! 1991-11 (G. Madec) bug fix
	9	!! 7.1 ! 1992-10 (G. Madec) new mixing length and eav
	10	!! 7.2 ! 1993-03 (M. Guyon) symetrical conditions
	11	!! 7.3 ! 1994-08 (G. Madec, M. Imbard) nn_pdl flag
	12	!! 7.5 ! 1996-01 (G. Madec) s-coordinates
	13	!! 8.0 ! 1997-07 (G. Madec) lbc
	14	!! 8.1 ! 1999-01 (E. Stretta) new option for the mixing length
	15	!! NEMO 1.0 ! 2002-06 (G. Madec) add tke_init routine
	16	!! - ! 2004-10 (C. Ethe ) 1D configuration
	17	!! 2.0 ! 2006-07 (S. Masson) distributed restart using iom
	18	!! 3.0 ! 2008-05 (C. Ethe, G.Madec) : update TKE physics:
	19	!! ! - tke penetration (wind steering)
	20	!! ! - suface condition for tke & mixing length
	21	!! ! - Langmuir cells
	22	!! - ! 2008-05 (J.-M. Molines, G. Madec) 2D form of avtb
	23	!! - ! 2008-06 (G. Madec) style + DOCTOR name for namelist parameters
	24	!! - ! 2008-12 (G. Reffray) stable discretization of the production term
	25	!! 3.2 ! 2009-06 (G. Madec, S. Masson) TKE restart compatible with key_cpl
	26	!! ! + cleaning of the parameters + bugs correction
[2528]	27	!! 3.3 ! 2010-10 (C. Ethe, G. Madec) reorganisation of initialisation phase
[5120]	28	!! 3.6 ! 2014-11 (P. Mathiot) add ice shelf capability
[9019]	29	!! 4.0 ! 2017-04 (G. Madec) remove CPP ddm key & avm at t-point only
[13461]	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
[13007]	47	#if defined key_si3
	48	USE ice, ONLY: hm_i, h_i
	49	#endif
	50	#if defined key_cice
	51	USE sbc_ice, ONLY: h_i
	52	#endif
[9019]	53	!
[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
	70	INTEGER :: nn_mxl ! type of mixing length (=0/1/2/3)
	71	REAL(wp) :: rn_mxl0 ! surface min value of mixing length (kappaz_o=0.40.1 m) [m]
[13012]	72	INTEGER :: nn_mxlice ! type of scaling under sea-ice
	73	REAL(wp) :: rn_mxlice ! max constant ice thickness value when scaling under sea-ice ( nn_mxlice=1)
[4147]	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
[9546]	84	REAL(wp) :: rn_eice ! =0 ON below sea-ice, =4 OFF when ice fraction > 1/4
[4147]	85	LOGICAL :: ln_lc ! Langmuir cells (LC) as a source term of TKE or not
[9019]	86	REAL(wp) :: rn_lc ! coef to compute vertical velocity of Langmuir cells
[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
[12377]	98	# include "do_loop_substitute.h90"
[13237]	99	# include "domzgr_substitute.h90"
[1239]	100	!!----------------------------------------------------------------------
[9598]	101	!! NEMO/OCE 4.0 , NEMO Consortium (2018)
[2528]	102	!! $Id$
[10068]	103	!! Software governed by the CeCILL license (see ./LICENSE)
[1239]	104	!!----------------------------------------------------------------------
	105	CONTAINS
	106
[2715]	107	INTEGER FUNCTION zdf_tke_alloc()
	108	!!----------------------------------------------------------------------
	109	!! * FUNCTION zdf_tke_alloc *
	110	!!----------------------------------------------------------------------
[9019]	111	ALLOCATE( htau(jpi,jpj) , dissl(jpi,jpj,jpk) , apdlr(jpi,jpj,jpk) , STAT= zdf_tke_alloc )
	112	!
[10425]	113	CALL mpp_sum ( 'zdftke', zdf_tke_alloc )
	114	IF( zdf_tke_alloc /= 0 ) CALL ctl_stop( 'STOP', 'zdf_tke_alloc: failed to allocate arrays' )
[2715]	115	!
	116	END FUNCTION zdf_tke_alloc
	117
	118
[12377]	119	SUBROUTINE zdf_tke( kt, Kbb, Kmm, p_sh2, p_avm, p_avt )
[1239]	120	!!----------------------------------------------------------------------
[1531]	121	!! * ROUTINE zdf_tke *
[1239]	122	!!
	123	!! ** Purpose : Compute the vertical eddy viscosity and diffusivity
[1492]	124	!! coefficients using a turbulent closure scheme (TKE).
[1239]	125	!!
[1492]	126	!! ** Method : The time evolution of the turbulent kinetic energy (tke)
	127	!! is computed from a prognostic equation :
	128	!! d(en)/dt = avm (d(u)/dz)**2 ! shear production
	129	!! + d( avm d(en)/dz )/dz ! diffusion of tke
	130	!! + avt N^2 ! stratif. destruc.
	131	!! - rn_ediss / emxl en**(2/3) ! Kolmogoroff dissipation
[1239]	132	!! with the boundary conditions:
[1695]	133	!! surface: en = max( rn_emin0, rn_ebb * taum )
[1239]	134	!! bottom : en = rn_emin
[1492]	135	!! The associated critical Richardson number is: ri_cri = 2/(2+rn_ediss/rn_ediff)
	136	!!
	137	!! The now Turbulent kinetic energy is computed using the following
	138	!! time stepping: implicit for vertical diffusion term, linearized semi
	139	!! implicit for kolmogoroff dissipation term, and explicit forward for
	140	!! both buoyancy and shear production terms. Therefore a tridiagonal
	141	!! linear system is solved. Note that buoyancy and shear terms are
	142	!! discretized in a energy conserving form (Bruchard 2002).
	143	!!
	144	!! The dissipative and mixing length scale are computed from en and
	145	!! the stratification (see tke_avn)
	146	!!
	147	!! The now vertical eddy vicosity and diffusivity coefficients are
	148	!! given by:
	149	!! avm = max( avtb, rn_ediff * zmxlm * en^1/2 )
	150	!! avt = max( avmb, pdl * avm )
[1239]	151	!! eav = max( avmb, avm )
[1492]	152	!! where pdl, the inverse of the Prandtl number is 1 if nn_pdl=0 and
	153	!! given by an empirical funtion of the localRichardson number if nn_pdl=1
[1239]	154	!!
	155	!! ** Action : compute en (now turbulent kinetic energy)
[9019]	156	!! update avt, avm (before vertical eddy coef.)
[1239]	157	!!
	158	!! References : Gaspar et al., JGR, 1990,
	159	!! Blanke and Delecluse, JPO, 1991
	160	!! Mellor and Blumberg, JPO 2004
	161	!! Axell, JGR, 2002
[1492]	162	!! Bruchard OM 2002
[1239]	163	!!----------------------------------------------------------------------
[9019]	164	INTEGER , INTENT(in ) :: kt ! ocean time step
[12377]	165	INTEGER , INTENT(in ) :: Kbb, Kmm ! ocean time level indices
[9019]	166	REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: p_sh2 ! shear production term
	167	REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: p_avm, p_avt ! momentum and tracer Kz (w-points)
[1492]	168	!!----------------------------------------------------------------------
[1481]	169	!
[12377]	170	CALL tke_tke( Kbb, Kmm, p_sh2, p_avm, p_avt ) ! now tke (en)
[5656]	171	!
[12377]	172	CALL tke_avn( Kbb, Kmm, p_avm, p_avt ) ! now avt, avm, dissl
[3632]	173	!
[5656]	174	END SUBROUTINE zdf_tke
[1239]	175
[1492]	176
[12377]	177	SUBROUTINE tke_tke( Kbb, Kmm, p_sh2, p_avm, p_avt )
[1239]	178	!!----------------------------------------------------------------------
[1492]	179	!! * ROUTINE tke_tke *
	180	!!
	181	!! ** Purpose : Compute the now Turbulente Kinetic Energy (TKE)
	182	!!
	183	!! ** Method : - TKE surface boundary condition
[2528]	184	!! - source term due to Langmuir cells (Axell JGR 2002) (ln_lc=T)
[9019]	185	!! - source term due to shear (= Kz dz[Ub] * dz[Un] )
[1492]	186	!! - Now TKE : resolution of the TKE equation by inverting
	187	!! a tridiagonal linear system by a "methode de chasse"
	188	!! - increase TKE due to surface and internal wave breaking
[9019]	189	!! NB: when sea-ice is present, both LC parameterization
	190	!! and TKE penetration are turned off when the ice fraction
	191	!! is smaller than 0.25
[1492]	192	!!
	193	!! ** Action : - en : now turbulent kinetic energy)
[1239]	194	!! ---------------------------------------------------------------------
[9019]	195	USE zdf_oce , ONLY : en ! ocean vertical physics
	196	!!
[12377]	197	INTEGER , INTENT(in ) :: Kbb, Kmm ! ocean time level indices
[9019]	198	REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: p_sh2 ! shear production term
	199	REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: p_avm, p_avt ! vertical eddy viscosity & diffusivity (w-points)
	200	!
	201	INTEGER :: ji, jj, jk ! dummy loop arguments
	202	REAL(wp) :: zetop, zebot, zmsku, zmskv ! local scalars
	203	REAL(wp) :: zrhoa = 1.22 ! Air density kg/m3
	204	REAL(wp) :: zcdrag = 1.5e-3 ! drag coefficient
	205	REAL(wp) :: zbbrau, zri ! local scalars
	206	REAL(wp) :: zfact1, zfact2, zfact3 ! - -
	207	REAL(wp) :: ztx2 , zty2 , zcof ! - -
	208	REAL(wp) :: ztau , zdif ! - -
	209	REAL(wp) :: zus , zwlc , zind ! - -
	210	REAL(wp) :: zzd_up, zzd_lw ! - -
	211	INTEGER , DIMENSION(jpi,jpj) :: imlc
[10425]	212	REAL(wp), DIMENSION(jpi,jpj) :: zhlc, zfr_i
[9019]	213	REAL(wp), DIMENSION(jpi,jpj,jpk) :: zpelc, zdiag, zd_up, zd_lw
[1239]	214	!!--------------------------------------------------------------------
[1492]	215	!
[12489]	216	zbbrau = rn_ebb / rho0 ! Local constant initialisation
	217	zfact1 = -.5_wp * rn_Dt
	218	zfact2 = 1.5_wp * rn_Dt * rn_ediss
[2528]	219	zfact3 = 0.5_wp * rn_ediss
[1492]	220	!
	221	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[9019]	222	! ! Surface/top/bottom boundary condition on tke
[1492]	223	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[12698]	224	!
[13295]	225	DO_2D( 0, 0, 0, 0 )
[12377]	226	en(ji,jj,1) = MAX( rn_emin0, zbbrau * taum(ji,jj) ) * tmask(ji,jj,1)
	227	END_2D
[9019]	228	!
[1492]	229	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	230	! ! Bottom boundary condition on tke
	231	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[1719]	232	!
[12489]	233	! en(bot) = (ebb0/rho0)0.5sqrt(u_botfr^2+v_botfr^2) (min value rn_emin)
[9019]	234	! where ebb0 does not includes surface wave enhancement (i.e. ebb0=3.75)
	235	! Note that stress averaged is done using an wet-only calculation of u and v at t-point like in zdfsh2
[1492]	236	!
[13461]	237	IF( .NOT.ln_drg_OFF ) THEN !== friction used as top/bottom boundary condition on TKE
[9019]	238	!
[13461]	239	DO_2D( 0, 0, 0, 0 ) ! bottom friction
[12377]	240	zmsku = ( 2. - umask(ji-1,jj,mbkt(ji,jj)) * umask(ji,jj,mbkt(ji,jj)) )
	241	zmskv = ( 2. - vmask(ji,jj-1,mbkt(ji,jj)) * vmask(ji,jj,mbkt(ji,jj)) )
[12489]	242	! ! where 0.001875 = (rn_ebb0/rho0) * 0.5 = 3.75*0.5/1000. (CAUTION CdU<0)
[12377]	243	zebot = - 0.001875_wp * rCdU_bot(ji,jj) * SQRT( ( zmsku( uu(ji,jj,mbkt(ji,jj),Kbb)+uu(ji-1,jj,mbkt(ji,jj),Kbb) ) )*2 &
	244	& + ( zmskv( vv(ji,jj,mbkt(ji,jj),Kbb)+vv(ji,jj-1,mbkt(ji,jj),Kbb) ) )*2 )
	245	en(ji,jj,mbkt(ji,jj)+1) = MAX( zebot, rn_emin ) * ssmask(ji,jj)
	246	END_2D
[13461]	247	IF( ln_isfcav ) THEN
	248	DO_2D( 0, 0, 0, 0 ) ! top friction
[12377]	249	zmsku = ( 2. - umask(ji-1,jj,mikt(ji,jj)) * umask(ji,jj,mikt(ji,jj)) )
	250	zmskv = ( 2. - vmask(ji,jj-1,mikt(ji,jj)) * vmask(ji,jj,mikt(ji,jj)) )
[12489]	251	! ! where 0.001875 = (rn_ebb0/rho0) * 0.5 = 3.75*0.5/1000. (CAUTION CdU<0)
[12377]	252	zetop = - 0.001875_wp * rCdU_top(ji,jj) * SQRT( ( zmsku( uu(ji,jj,mikt(ji,jj),Kbb)+uu(ji-1,jj,mikt(ji,jj),Kbb) ) )*2 &
	253	& + ( zmskv( vv(ji,jj,mikt(ji,jj),Kbb)+vv(ji,jj-1,mikt(ji,jj),Kbb) ) )*2 )
[12702]	254	! (1._wp - tmask(ji,jj,1)) * ssmask(ji,jj) = 1 where ice shelves are present
	255	en(ji,jj,mikt(ji,jj)) = en(ji,jj,1) * tmask(ji,jj,1) &
	256	& + MAX( zetop, rn_emin ) * (1._wp - tmask(ji,jj,1)) * ssmask(ji,jj)
[12377]	257	END_2D
[9019]	258	ENDIF
	259	!
	260	ENDIF
	261	!
[1492]	262	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[9019]	263	IF( ln_lc ) THEN ! Langmuir circulation source term added to tke ! (Axell JGR 2002)
[1492]	264	! !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
[1239]	265	!
[1492]	266	! !* total energy produce by LC : cumulative sum over jk
[12377]	267	zpelc(:,:,1) = MAX( rn2b(:,:,1), 0._wp ) * gdepw(:,:,1,Kmm) * e3w(:,:,1,Kmm)
[1239]	268	DO jk = 2, jpk
[13237]	269	zpelc(:,:,jk) = zpelc(:,:,jk-1) + &
	270	& MAX( rn2b(:,:,jk), 0._wp ) * gdepw(:,:,jk,Kmm) * e3w(:,:,jk,Kmm)
[1239]	271	END DO
[1492]	272	! !* finite Langmuir Circulation depth
[1705]	273	zcof = 0.5 * 0.016 * 0.016 / ( zrhoa * zcdrag )
[7753]	274	imlc(:,:) = mbkt(:,:) + 1 ! Initialization to the number of w ocean point (=2 over land)
[13295]	275	DO_3DS( 1, 1, 1, 1, jpkm1, 2, -1 )
[12377]	276	zus = zcof * taum(ji,jj)
	277	IF( zpelc(ji,jj,jk) > zus ) imlc(ji,jj) = jk
	278	END_3D
[1492]	279	! ! finite LC depth
[13295]	280	DO_2D( 1, 1, 1, 1 )
[12377]	281	zhlc(ji,jj) = gdepw(ji,jj,imlc(ji,jj),Kmm)
	282	END_2D
[1705]	283	zcof = 0.016 / SQRT( zrhoa * zcdrag )
[13295]	284	DO_2D( 0, 0, 0, 0 )
[12377]	285	zus = zcof * SQRT( taum(ji,jj) ) ! Stokes drift
	286	zfr_i(ji,jj) = ( 1._wp - 4._wp * fr_i(ji,jj) ) * zus * zus * zus * tmask(ji,jj,1) ! zus > 0. ok
	287	IF (zfr_i(ji,jj) < 0. ) zfr_i(ji,jj) = 0.
	288	END_2D
[13295]	289	DO_3D( 0, 0, 0, 0, 2, jpkm1 )
[12377]	290	IF ( zfr_i(ji,jj) /= 0. ) THEN
	291	! vertical velocity due to LC
	292	IF ( gdepw(ji,jj,jk,Kmm) - zhlc(ji,jj) < 0 .AND. wmask(ji,jj,jk) /= 0. ) THEN
	293	! ! vertical velocity due to LC
	294	zwlc = rn_lc * SIN( rpi * gdepw(ji,jj,jk,Kmm) / zhlc(ji,jj) ) ! warning: optimization: zus^3 is in zfr_i
	295	! ! TKE Langmuir circulation source term
[12489]	296	en(ji,jj,jk) = en(ji,jj,jk) + rn_Dt * zfr_i(ji,jj) * ( zwlc * zwlc * zwlc ) / zhlc(ji,jj)
[12377]	297	ENDIF
	298	ENDIF
	299	END_3D
[1239]	300	!
	301	ENDIF
[1492]	302	!
	303	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	304	! ! Now Turbulent kinetic energy (output in en)
	305	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	306	! ! Resolution of a tridiagonal linear system by a "methode de chasse"
	307	! ! computation from level 2 to jpkm1 (e(1) already computed and e(jpk)=0 ).
	308	! ! zdiag : diagonal zd_up : upper diagonal zd_lw : lower diagonal
	309	!
[9019]	310	IF( nn_pdl == 1 ) THEN !* Prandtl number = F( Ri )
[13295]	311	DO_3D( 0, 0, 0, 0, 2, jpkm1 )
[12377]	312	! ! local Richardson number
[13226]	313	IF (rn2b(ji,jj,jk) <= 0.0_wp) then
	314	zri = 0.0_wp
	315	ELSE
	316	zri = rn2b(ji,jj,jk) * p_avm(ji,jj,jk) / ( p_sh2(ji,jj,jk) + rn_bshear )
	317	ENDIF
[12377]	318	! ! inverse of Prandtl number
	319	apdlr(ji,jj,jk) = MAX( 0.1_wp, ri_cri / MAX( ri_cri , zri ) )
	320	END_3D
[5656]	321	ENDIF
[5836]	322	!
[13295]	323	DO_3D( 0, 0, 0, 0, 2, jpkm1 )
[12377]	324	zcof = zfact1 * tmask(ji,jj,jk)
	325	! ! A minimum of 2.e-5 m2/s is imposed on TKE vertical
	326	! ! eddy coefficient (ensure numerical stability)
	327	zzd_up = zcof * MAX( p_avm(ji,jj,jk+1) + p_avm(ji,jj,jk ) , 2.e-5_wp ) & ! upper diagonal
[13237]	328	& / ( e3t(ji,jj,jk ,Kmm) &
	329	& * e3w(ji,jj,jk ,Kmm) )
[12377]	330	zzd_lw = zcof * MAX( p_avm(ji,jj,jk ) + p_avm(ji,jj,jk-1) , 2.e-5_wp ) & ! lower diagonal
[13237]	331	& / ( e3t(ji,jj,jk-1,Kmm) &
	332	& * e3w(ji,jj,jk ,Kmm) )
[12377]	333	!
	334	zd_up(ji,jj,jk) = zzd_up ! Matrix (zdiag, zd_up, zd_lw)
	335	zd_lw(ji,jj,jk) = zzd_lw
	336	zdiag(ji,jj,jk) = 1._wp - zzd_lw - zzd_up + zfact2 * dissl(ji,jj,jk) * wmask(ji,jj,jk)
	337	!
	338	! ! right hand side in en
[12489]	339	en(ji,jj,jk) = en(ji,jj,jk) + rn_Dt * ( p_sh2(ji,jj,jk) & ! shear
[12377]	340	& - p_avt(ji,jj,jk) * rn2(ji,jj,jk) & ! stratification
	341	& + zfact3 * dissl(ji,jj,jk) * en(ji,jj,jk) & ! dissipation
	342	& ) * wmask(ji,jj,jk)
	343	END_3D
[5120]	344	! !* Matrix inversion from level 2 (tke prescribed at level 1)
[13295]	345	DO_3D( 0, 0, 0, 0, 3, jpkm1 )
[12377]	346	zdiag(ji,jj,jk) = zdiag(ji,jj,jk) - zd_lw(ji,jj,jk) * zd_up(ji,jj,jk-1) / zdiag(ji,jj,jk-1)
	347	END_3D
[13295]	348	DO_2D( 0, 0, 0, 0 )
[12377]	349	zd_lw(ji,jj,2) = en(ji,jj,2) - zd_lw(ji,jj,2) * en(ji,jj,1) ! Surface boudary conditions on tke
	350	END_2D
[13295]	351	DO_3D( 0, 0, 0, 0, 3, jpkm1 )
[12377]	352	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)
	353	END_3D
[13295]	354	DO_2D( 0, 0, 0, 0 )
[12377]	355	en(ji,jj,jpkm1) = zd_lw(ji,jj,jpkm1) / zdiag(ji,jj,jpkm1)
	356	END_2D
[13295]	357	DO_3DS( 0, 0, 0, 0, jpk-2, 2, -1 )
[12377]	358	en(ji,jj,jk) = ( zd_lw(ji,jj,jk) - zd_up(ji,jj,jk) * en(ji,jj,jk+1) ) / zdiag(ji,jj,jk)
	359	END_3D
[13295]	360	DO_3D( 0, 0, 0, 0, 2, jpkm1 )
[12377]	361	en(ji,jj,jk) = MAX( en(ji,jj,jk), rn_emin ) * wmask(ji,jj,jk)
	362	END_3D
[9019]	363	!
[1492]	364	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	365	! ! TKE due to surface and internal wave breaking
	366	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[6140]	367	!!gm BUG : in the exp remove the depth of ssh !!!
[12377]	368	!!gm i.e. use gde3w in argument (gdepw(:,:,:,Kmm))
[6140]	369
	370
[2528]	371	IF( nn_etau == 1 ) THEN !* penetration below the mixed layer (rn_efr fraction)
[13295]	372	DO_3D( 0, 0, 0, 0, 2, jpkm1 )
[12377]	373	en(ji,jj,jk) = en(ji,jj,jk) + rn_efr * en(ji,jj,1) * EXP( -gdepw(ji,jj,jk,Kmm) / htau(ji,jj) ) &
	374	& * MAX(0.,1._wp - rn_eice fr_i(ji,jj) ) wmask(ji,jj,jk) * tmask(ji,jj,1)
	375	END_3D
[2528]	376	ELSEIF( nn_etau == 2 ) THEN !* act only at the base of the mixed layer (jk=nmln) (rn_efr fraction)
[13295]	377	DO_2D( 0, 0, 0, 0 )
[12377]	378	jk = nmln(ji,jj)
	379	en(ji,jj,jk) = en(ji,jj,jk) + rn_efr * en(ji,jj,1) * EXP( -gdepw(ji,jj,jk,Kmm) / htau(ji,jj) ) &
	380	& * MAX(0.,1._wp - rn_eice fr_i(ji,jj) ) wmask(ji,jj,jk) * tmask(ji,jj,1)
	381	END_2D
[2528]	382	ELSEIF( nn_etau == 3 ) THEN !* penetration belox the mixed layer (HF variability)
[13295]	383	DO_3D( 0, 0, 0, 0, 2, jpkm1 )
[12377]	384	ztx2 = utau(ji-1,jj ) + utau(ji,jj)
	385	zty2 = vtau(ji ,jj-1) + vtau(ji,jj)
	386	ztau = 0.5_wp * SQRT( ztx2 * ztx2 + zty2 * zty2 ) * tmask(ji,jj,1) ! module of the mean stress
	387	zdif = taum(ji,jj) - ztau ! mean of modulus - modulus of the mean
	388	zdif = rhftau_scl * MAX( 0._wp, zdif + rhftau_add ) ! apply some modifications...
	389	en(ji,jj,jk) = en(ji,jj,jk) + zbbrau * zdif * EXP( -gdepw(ji,jj,jk,Kmm) / htau(ji,jj) ) &
	390	& * MAX(0.,1._wp - rn_eice fr_i(ji,jj) ) wmask(ji,jj,jk) * tmask(ji,jj,1)
	391	END_3D
[1239]	392	ENDIF
[1492]	393	!
[1239]	394	END SUBROUTINE tke_tke
	395
[1492]	396
[12377]	397	SUBROUTINE tke_avn( Kbb, Kmm, p_avm, p_avt )
[1239]	398	!!----------------------------------------------------------------------
[1492]	399	!! * ROUTINE tke_avn *
[1239]	400	!!
[1492]	401	!! ** Purpose : Compute the vertical eddy viscosity and diffusivity
	402	!!
	403	!! ** Method : At this stage, en, the now TKE, is known (computed in
	404	!! the tke_tke routine). First, the now mixing lenth is
	405	!! computed from en and the strafification (N^2), then the mixings
	406	!! coefficients are computed.
	407	!! - Mixing length : a first evaluation of the mixing lengh
	408	!! scales is:
	409	!! mxl = sqrt(2*en) / N
	410	!! where N is the brunt-vaisala frequency, with a minimum value set
[2528]	411	!! to rmxl_min (rn_mxl0) in the interior (surface) ocean.
[1492]	412	!! The mixing and dissipative length scale are bound as follow :
	413	!! nn_mxl=0 : mxl bounded by the distance to surface and bottom.
	414	!! zmxld = zmxlm = mxl
	415	!! nn_mxl=1 : mxl bounded by the e3w and zmxld = zmxlm = mxl
	416	!! nn_mxl=2 : mxl bounded such that the vertical derivative of mxl is
	417	!! less than 1 (\|d/dz(mxl)\|<1) and zmxld = zmxlm = mxl
	418	!! nn_mxl=3 : mxl is bounded from the surface to the bottom usings
	419	!! \|d/dz(xml)\|<1 to obtain lup, and from the bottom to
	420	!! the surface to obtain ldown. the resulting length
	421	!! scales are:
	422	!! zmxld = sqrt( lup * ldown )
	423	!! zmxlm = min ( lup , ldown )
	424	!! - Vertical eddy viscosity and diffusivity:
	425	!! avm = max( avtb, rn_ediff * zmxlm * en^1/2 )
	426	!! avt = max( avmb, pdlr * avm )
	427	!! with pdlr=1 if nn_pdl=0, pdlr=1/pdl=F(Ri) otherwise.
	428	!!
[9019]	429	!! ** Action : - avt, avm : now vertical eddy diffusivity and viscosity (w-point)
[1239]	430	!!----------------------------------------------------------------------
[9019]	431	USE zdf_oce , ONLY : en, avtb, avmb, avtb_2d ! ocean vertical physics
	432	!!
[12377]	433	INTEGER , INTENT(in ) :: Kbb, Kmm ! ocean time level indices
[9019]	434	REAL(wp), DIMENSION(:,:,:), INTENT( out) :: p_avm, p_avt ! vertical eddy viscosity & diffusivity (w-points)
	435	!
[2715]	436	INTEGER :: ji, jj, jk ! dummy loop indices
[9019]	437	REAL(wp) :: zrn2, zraug, zcoef, zav ! local scalars
	438	REAL(wp) :: zdku, zdkv, zsqen ! - -
[13007]	439	REAL(wp) :: zemxl, zemlm, zemlp, zmaxice ! - -
[9019]	440	REAL(wp), DIMENSION(jpi,jpj,jpk) :: zmxlm, zmxld ! 3D workspace
[1239]	441	!!--------------------------------------------------------------------
[3294]	442	!
[1492]	443	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	444	! ! Mixing length
	445	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	446	!
	447	! !* Buoyancy length scale: l=sqrt(2e/n*2)
	448	!
[5120]	449	! initialisation of interior minimum value (avoid a 2d loop with mikt)
[7753]	450	zmxlm(:,:,:) = rmxl_min
	451	zmxld(:,:,:) = rmxl_min
[5120]	452	!
[13012]	453	IF( ln_mxl0 ) THEN ! surface mixing length = F(stress) : l=vkarmn2.e5taum/(rho0*g)
[13007]	454	!
[13012]	455	zraug = vkarmn * 2.e5_wp / ( rho0 * grav )
[13007]	456	#if ! defined key_si3 && ! defined key_cice
[13295]	457	DO_2D( 0, 0, 0, 0 )
[13007]	458	zmxlm(ji,jj,1) = zraug * taum(ji,jj) * tmask(ji,jj,1)
[12377]	459	END_2D
[13007]	460	#else
	461	SELECT CASE( nn_mxlice ) ! Type of scaling under sea-ice
	462	!
	463	CASE( 0 ) ! No scaling under sea-ice
[13295]	464	DO_2D( 0, 0, 0, 0 )
[13007]	465	zmxlm(ji,jj,1) = zraug * taum(ji,jj) * tmask(ji,jj,1)
	466	END_2D
	467	!
	468	CASE( 1 ) ! scaling with constant sea-ice thickness
[13295]	469	DO_2D( 0, 0, 0, 0 )
[13007]	470	zmxlm(ji,jj,1) = ( ( 1. - fr_i(ji,jj) ) * zraug * taum(ji,jj) + fr_i(ji,jj) * rn_mxlice ) * tmask(ji,jj,1)
	471	END_2D
	472	!
	473	CASE( 2 ) ! scaling with mean sea-ice thickness
[13295]	474	DO_2D( 0, 0, 0, 0 )
[13007]	475	#if defined key_si3
	476	zmxlm(ji,jj,1) = ( ( 1. - fr_i(ji,jj) ) * zraug * taum(ji,jj) + fr_i(ji,jj) * hm_i(ji,jj) * 2. ) * tmask(ji,jj,1)
	477	#elif defined key_cice
	478	zmaxice = MAXVAL( h_i(ji,jj,:) )
	479	zmxlm(ji,jj,1) = ( ( 1. - fr_i(ji,jj) ) * zraug * taum(ji,jj) + fr_i(ji,jj) * zmaxice ) * tmask(ji,jj,1)
	480	#endif
	481	END_2D
	482	!
	483	CASE( 3 ) ! scaling with max sea-ice thickness
[13295]	484	DO_2D( 0, 0, 0, 0 )
[13007]	485	zmaxice = MAXVAL( h_i(ji,jj,:) )
	486	zmxlm(ji,jj,1) = ( ( 1. - fr_i(ji,jj) ) * zraug * taum(ji,jj) + fr_i(ji,jj) * zmaxice ) * tmask(ji,jj,1)
	487	END_2D
	488	!
	489	END SELECT
	490	#endif
	491	!
[13295]	492	DO_2D( 0, 0, 0, 0 )
[13007]	493	zmxlm(ji,jj,1) = MAX( rn_mxl0, zmxlm(ji,jj,1) )
	494	END_2D
	495	!
	496	ELSE
[7753]	497	zmxlm(:,:,1) = rn_mxl0
[1239]	498	ENDIF
[13007]	499
[1239]	500	!
[13295]	501	DO_3D( 0, 0, 0, 0, 2, jpkm1 )
[12377]	502	zrn2 = MAX( rn2(ji,jj,jk), rsmall )
	503	zmxlm(ji,jj,jk) = MAX( rmxl_min, SQRT( 2._wp * en(ji,jj,jk) / zrn2 ) )
	504	END_3D
[1492]	505	!
	506	! !* Physical limits for the mixing length
	507	!
[7753]	508	zmxld(:,:, 1 ) = zmxlm(:,:,1) ! surface set to the minimum value
	509	zmxld(:,:,jpk) = rmxl_min ! last level set to the minimum value
[1492]	510	!
[1239]	511	SELECT CASE ( nn_mxl )
	512	!
[5836]	513	!!gm Not sure of that coding for ISF....
[12377]	514	! where wmask = 0 set zmxlm == e3w(:,:,:,Kmm)
[1239]	515	CASE ( 0 ) ! bounded by the distance to surface and bottom
[13295]	516	DO_3D( 0, 0, 0, 0, 2, jpkm1 )
[12377]	517	zemxl = MIN( gdepw(ji,jj,jk,Kmm) - gdepw(ji,jj,mikt(ji,jj),Kmm), zmxlm(ji,jj,jk), &
	518	& gdepw(ji,jj,mbkt(ji,jj)+1,Kmm) - gdepw(ji,jj,jk,Kmm) )
	519	! wmask prevent zmxlm = 0 if jk = mikt(ji,jj)
[13237]	520	zmxlm(ji,jj,jk) = zemxl * wmask(ji,jj,jk) &
	521	& + MIN( zmxlm(ji,jj,jk) , e3w(ji,jj,jk,Kmm) ) * (1 - wmask(ji,jj,jk))
	522	zmxld(ji,jj,jk) = zemxl * wmask(ji,jj,jk) &
	523	& + MIN( zmxlm(ji,jj,jk) , e3w(ji,jj,jk,Kmm) ) * (1 - wmask(ji,jj,jk))
[12377]	524	END_3D
[1239]	525	!
	526	CASE ( 1 ) ! bounded by the vertical scale factor
[13295]	527	DO_3D( 0, 0, 0, 0, 2, jpkm1 )
[12377]	528	zemxl = MIN( e3w(ji,jj,jk,Kmm), zmxlm(ji,jj,jk) )
	529	zmxlm(ji,jj,jk) = zemxl
	530	zmxld(ji,jj,jk) = zemxl
	531	END_3D
[1239]	532	!
	533	CASE ( 2 ) ! \|dk[xml]\| bounded by e3t :
[13295]	534	DO_3D( 0, 0, 0, 0, 2, jpkm1 )
[13237]	535	zmxlm(ji,jj,jk) = &
	536	& MIN( zmxlm(ji,jj,jk-1) + e3t(ji,jj,jk-1,Kmm), zmxlm(ji,jj,jk) )
[12377]	537	END_3D
[13295]	538	DO_3DS( 0, 0, 0, 0, jpkm1, 2, -1 )
[12377]	539	zemxl = MIN( zmxlm(ji,jj,jk+1) + e3t(ji,jj,jk+1,Kmm), zmxlm(ji,jj,jk) )
	540	zmxlm(ji,jj,jk) = zemxl
	541	zmxld(ji,jj,jk) = zemxl
	542	END_3D
[1239]	543	!
	544	CASE ( 3 ) ! lup and ldown, \|dk[xml]\| bounded by e3t :
[13295]	545	DO_3D( 0, 0, 0, 0, 2, jpkm1 )
[13237]	546	zmxld(ji,jj,jk) = &
	547	& MIN( zmxld(ji,jj,jk-1) + e3t(ji,jj,jk-1,Kmm), zmxlm(ji,jj,jk) )
[12377]	548	END_3D
[13295]	549	DO_3DS( 0, 0, 0, 0, jpkm1, 2, -1 )
[13237]	550	zmxlm(ji,jj,jk) = &
	551	& MIN( zmxlm(ji,jj,jk+1) + e3t(ji,jj,jk+1,Kmm), zmxlm(ji,jj,jk) )
[12377]	552	END_3D
[13295]	553	DO_3D( 0, 0, 0, 0, 2, jpkm1 )
[12377]	554	zemlm = MIN ( zmxld(ji,jj,jk), zmxlm(ji,jj,jk) )
	555	zemlp = SQRT( zmxld(ji,jj,jk) * zmxlm(ji,jj,jk) )
	556	zmxlm(ji,jj,jk) = zemlm
	557	zmxld(ji,jj,jk) = zemlp
	558	END_3D
[1239]	559	!
	560	END SELECT
[1492]	561	!
	562	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[9019]	563	! ! Vertical eddy viscosity and diffusivity (avm and avt)
[1492]	564	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[13295]	565	DO_3D( 0, 0, 0, 0, 1, jpkm1 )
[12377]	566	zsqen = SQRT( en(ji,jj,jk) )
	567	zav = rn_ediff * zmxlm(ji,jj,jk) * zsqen
	568	p_avm(ji,jj,jk) = MAX( zav, avmb(jk) ) * wmask(ji,jj,jk)
	569	p_avt(ji,jj,jk) = MAX( zav, avtb_2d(ji,jj) * avtb(jk) ) * wmask(ji,jj,jk)
	570	dissl(ji,jj,jk) = zsqen / zmxld(ji,jj,jk)
	571	END_3D
[1492]	572	!
	573	!
	574	IF( nn_pdl == 1 ) THEN !* Prandtl number case: update avt
[13295]	575	DO_3D( 0, 0, 0, 0, 2, jpkm1 )
[12698]	576	p_avt(ji,jj,jk) = MAX( apdlr(ji,jj,jk) * p_avt(ji,jj,jk), avtb_2d(ji,jj) * avtb(jk) ) * wmask(ji,jj,jk)
[12377]	577	END_3D
[1239]	578	ENDIF
[9019]	579	!
[12377]	580	IF(sn_cfctl%l_prtctl) THEN
[9440]	581	CALL prt_ctl( tab3d_1=en , clinfo1=' tke - e: ', tab3d_2=p_avt, clinfo2=' t: ', kdim=jpk)
	582	CALL prt_ctl( tab3d_1=p_avm, clinfo1=' tke - m: ', kdim=jpk )
[1239]	583	ENDIF
	584	!
[1492]	585	END SUBROUTINE tke_avn
[1239]	586
[1492]	587
[12377]	588	SUBROUTINE zdf_tke_init( Kmm )
[1239]	589	!!----------------------------------------------------------------------
[2528]	590	!! * ROUTINE zdf_tke_init *
[1239]	591	!!
	592	!! ** Purpose : Initialization of the vertical eddy diffivity and
[1492]	593	!! viscosity when using a tke turbulent closure scheme
[1239]	594	!!
[1601]	595	!! ** Method : Read the namzdf_tke namelist and check the parameters
[1492]	596	!! called at the first timestep (nit000)
[1239]	597	!!
[1601]	598	!! ** input : Namlist namzdf_tke
[1239]	599	!!
	600	!! ** Action : Increase by 1 the nstop flag is setting problem encounter
	601	!!----------------------------------------------------------------------
[9019]	602	USE zdf_oce , ONLY : ln_zdfiwm ! Internal Wave Mixing flag
	603	!!
[12377]	604	INTEGER, INTENT(in) :: Kmm ! time level index
	605	INTEGER :: ji, jj, jk ! dummy loop indices
	606	INTEGER :: ios
[1239]	607	!!
[13007]	608	NAMELIST/namzdf_tke/ rn_ediff, rn_ediss , rn_ebb , rn_emin , &
	609	& rn_emin0, rn_bshear, nn_mxl , ln_mxl0 , &
	610	& rn_mxl0 , nn_mxlice, rn_mxlice, &
[13461]	611	& nn_pdl , ln_lc , rn_lc , &
[13007]	612	& nn_etau , nn_htau , rn_efr , rn_eice
[1239]	613	!!----------------------------------------------------------------------
[2715]	614	!
[4147]	615	READ ( numnam_ref, namzdf_tke, IOSTAT = ios, ERR = 901)
[11536]	616	901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_tke in reference namelist' )
[4147]	617
	618	READ ( numnam_cfg, namzdf_tke, IOSTAT = ios, ERR = 902 )
[11536]	619	902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namzdf_tke in configuration namelist' )
[4624]	620	IF(lwm) WRITE ( numond, namzdf_tke )
[2715]	621	!
[2528]	622	ri_cri = 2._wp / ( 2._wp + rn_ediss / rn_ediff ) ! resulting critical Richardson number
[2715]	623	!
[1492]	624	IF(lwp) THEN !* Control print
[1239]	625	WRITE(numout,*)
[2528]	626	WRITE(numout,*) 'zdf_tke_init : tke turbulent closure scheme - initialisation'
	627	WRITE(numout,*) '~~~~~~~~~~~~'
[1601]	628	WRITE(numout,*) ' Namelist namzdf_tke : set tke mixing parameters'
[1705]	629	WRITE(numout,*) ' coef. to compute avt rn_ediff = ', rn_ediff
	630	WRITE(numout,*) ' Kolmogoroff dissipation coef. rn_ediss = ', rn_ediss
	631	WRITE(numout,*) ' tke surface input coef. rn_ebb = ', rn_ebb
	632	WRITE(numout,*) ' minimum value of tke rn_emin = ', rn_emin
	633	WRITE(numout,*) ' surface minimum value of tke rn_emin0 = ', rn_emin0
[9019]	634	WRITE(numout,*) ' prandl number flag nn_pdl = ', nn_pdl
[1705]	635	WRITE(numout,*) ' background shear (>0) rn_bshear = ', rn_bshear
	636	WRITE(numout,*) ' mixing length type nn_mxl = ', nn_mxl
[9019]	637	WRITE(numout,*) ' surface mixing length = F(stress) or not ln_mxl0 = ', ln_mxl0
[13007]	638	IF( ln_mxl0 ) THEN
	639	WRITE(numout,*) ' type of scaling under sea-ice nn_mxlice = ', nn_mxlice
	640	IF( nn_mxlice == 1 ) &
	641	WRITE(numout,*) ' ice thickness when scaling under sea-ice rn_mxlice = ', rn_mxlice
	642	ENDIF
[9019]	643	WRITE(numout,*) ' surface mixing length minimum value rn_mxl0 = ', rn_mxl0
	644	WRITE(numout,*) ' Langmuir cells parametrization ln_lc = ', ln_lc
	645	WRITE(numout,*) ' coef to compute vertical velocity of LC rn_lc = ', rn_lc
[1705]	646	WRITE(numout,*) ' test param. to add tke induced by wind nn_etau = ', nn_etau
[9019]	647	WRITE(numout,*) ' type of tke penetration profile nn_htau = ', nn_htau
	648	WRITE(numout,*) ' fraction of TKE that penetrates rn_efr = ', rn_efr
[9546]	649	WRITE(numout,*) ' below sea-ice: =0 ON rn_eice = ', rn_eice
	650	WRITE(numout,*) ' =4 OFF when ice fraction > 1/4 '
[13461]	651	IF( .NOT.ln_drg_OFF ) THEN
[9169]	652	WRITE(numout,*)
[9019]	653	WRITE(numout,*) ' Namelist namdrg_top/_bot: used values:'
	654	WRITE(numout,*) ' top ocean cavity roughness (m) rn_z0(_top)= ', r_z0_top
	655	WRITE(numout,*) ' Bottom seafloor roughness (m) rn_z0(_bot)= ', r_z0_bot
	656	ENDIF
	657	WRITE(numout,*)
[9190]	658	WRITE(numout,*) ' ==>>> critical Richardson nb with your parameters ri_cri = ', ri_cri
[9019]	659	WRITE(numout,*)
[1239]	660	ENDIF
[2715]	661	!
[9019]	662	IF( ln_zdfiwm ) THEN ! Internal wave-driven mixing
	663	rn_emin = 1.e-10_wp ! specific values of rn_emin & rmxl_min are used
	664	rmxl_min = 1.e-03_wp ! associated avt minimum = molecular salt diffusivity (10^-9 m2/s)
[9190]	665	IF(lwp) WRITE(numout,*) ' ==>>> Internal wave-driven mixing case: force rn_emin = 1.e-10 and rmxl_min = 1.e-3'
[9019]	666	ELSE ! standard case : associated avt minimum = molecular viscosity (10^-6 m2/s)
	667	rmxl_min = 1.e-6_wp / ( rn_ediff * SQRT( rn_emin ) ) ! resulting minimum length to recover molecular viscosity
[9190]	668	IF(lwp) WRITE(numout,*) ' ==>>> minimum mixing length with your parameters rmxl_min = ', rmxl_min
[9019]	669	ENDIF
	670	!
[2715]	671	! ! allocate tke arrays
	672	IF( zdf_tke_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_tke_init : unable to allocate arrays' )
	673	!
[1492]	674	! !* Check of some namelist values
[4990]	675	IF( nn_mxl < 0 .OR. nn_mxl > 3 ) CALL ctl_stop( 'bad flag: nn_mxl is 0, 1 or 2 ' )
	676	IF( nn_pdl < 0 .OR. nn_pdl > 1 ) CALL ctl_stop( 'bad flag: nn_pdl is 0 or 1 ' )
	677	IF( nn_htau < 0 .OR. nn_htau > 1 ) CALL ctl_stop( 'bad flag: nn_htau is 0, 1 or 2 ' )
[5407]	678	IF( nn_etau == 3 .AND. .NOT. ln_cpl ) CALL ctl_stop( 'nn_etau == 3 : HF taum only known in coupled mode' )
[9019]	679	!
[2528]	680	IF( ln_mxl0 ) THEN
[9169]	681	IF(lwp) WRITE(numout,*)
[9190]	682	IF(lwp) WRITE(numout,*) ' ==>>> use a surface mixing length = F(stress) : set rn_mxl0 = rmxl_min'
[2528]	683	rn_mxl0 = rmxl_min
	684	ENDIF
	685
[12377]	686	IF( nn_etau == 2 ) CALL zdf_mxl( nit000, Kmm ) ! Initialization of nmln
[1239]	687
[1492]	688	! !* depth of penetration of surface tke
	689	IF( nn_etau /= 0 ) THEN
[1601]	690	SELECT CASE( nn_htau ) ! Choice of the depth of penetration
[2528]	691	CASE( 0 ) ! constant depth penetration (here 10 meters)
[7753]	692	htau(:,:) = 10._wp
[2528]	693	CASE( 1 ) ! F(latitude) : 0.5m to 30m poleward of 40 degrees
[7753]	694	htau(:,:) = MAX( 0.5_wp, MIN( 30._wp, 45._wp* ABS( SIN( rpi/180._wp * gphit(:,:) ) ) ) )
[1492]	695	END SELECT
	696	ENDIF
[9019]	697	! !* read or initialize all required files
	698	CALL tke_rst( nit000, 'READ' ) ! (en, avt_k, avm_k, dissl)
[1239]	699	!
[9367]	700	IF( lwxios ) THEN
	701	CALL iom_set_rstw_var_active('en')
	702	CALL iom_set_rstw_var_active('avt_k')
	703	CALL iom_set_rstw_var_active('avm_k')
	704	CALL iom_set_rstw_var_active('dissl')
	705	ENDIF
[2528]	706	END SUBROUTINE zdf_tke_init
[1239]	707
	708
[1531]	709	SUBROUTINE tke_rst( kt, cdrw )
[9019]	710	!!---------------------------------------------------------------------
	711	!! * ROUTINE tke_rst *
	712	!!
	713	!! ** Purpose : Read or write TKE file (en) in restart file
	714	!!
	715	!! ** Method : use of IOM library
	716	!! if the restart does not contain TKE, en is either
	717	!! set to rn_emin or recomputed
	718	!!----------------------------------------------------------------------
	719	USE zdf_oce , ONLY : en, avt_k, avm_k ! ocean vertical physics
	720	!!
	721	INTEGER , INTENT(in) :: kt ! ocean time-step
	722	CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag
	723	!
	724	INTEGER :: jit, jk ! dummy loop indices
	725	INTEGER :: id1, id2, id3, id4 ! local integers
	726	!!----------------------------------------------------------------------
	727	!
	728	IF( TRIM(cdrw) == 'READ' ) THEN ! Read/initialise
	729	! ! ---------------
	730	IF( ln_rstart ) THEN !* Read the restart file
	731	id1 = iom_varid( numror, 'en' , ldstop = .FALSE. )
	732	id2 = iom_varid( numror, 'avt_k', ldstop = .FALSE. )
	733	id3 = iom_varid( numror, 'avm_k', ldstop = .FALSE. )
	734	id4 = iom_varid( numror, 'dissl', ldstop = .FALSE. )
	735	!
	736	IF( MIN( id1, id2, id3, id4 ) > 0 ) THEN ! fields exist
[13286]	737	CALL iom_get( numror, jpdom_auto, 'en' , en , ldxios = lrxios )
	738	CALL iom_get( numror, jpdom_auto, 'avt_k', avt_k, ldxios = lrxios )
	739	CALL iom_get( numror, jpdom_auto, 'avm_k', avm_k, ldxios = lrxios )
	740	CALL iom_get( numror, jpdom_auto, 'dissl', dissl, ldxios = lrxios )
[9019]	741	ELSE ! start TKE from rest
[9169]	742	IF(lwp) WRITE(numout,*)
[9190]	743	IF(lwp) WRITE(numout,*) ' ==>>> previous run without TKE scheme, set en to background values'
[9019]	744	en (:,:,:) = rn_emin * wmask(:,:,:)
	745	dissl(:,:,:) = 1.e-12_wp
	746	! avt_k, avm_k already set to the background value in zdf_phy_init
	747	ENDIF
	748	ELSE !* Start from rest
[9169]	749	IF(lwp) WRITE(numout,*)
[9190]	750	IF(lwp) WRITE(numout,*) ' ==>>> start from rest: set en to the background value'
[9019]	751	en (:,:,:) = rn_emin * wmask(:,:,:)
	752	dissl(:,:,:) = 1.e-12_wp
	753	! avt_k, avm_k already set to the background value in zdf_phy_init
	754	ENDIF
	755	!
	756	ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN ! Create restart file
	757	! ! -------------------
[9169]	758	IF(lwp) WRITE(numout,*) '---- tke_rst ----'
[9367]	759	IF( lwxios ) CALL iom_swap( cwxios_context )
	760	CALL iom_rstput( kt, nitrst, numrow, 'en' , en , ldxios = lwxios )
	761	CALL iom_rstput( kt, nitrst, numrow, 'avt_k', avt_k, ldxios = lwxios )
	762	CALL iom_rstput( kt, nitrst, numrow, 'avm_k', avm_k, ldxios = lwxios )
	763	CALL iom_rstput( kt, nitrst, numrow, 'dissl', dissl, ldxios = lwxios )
	764	IF( lwxios ) CALL iom_swap( cxios_context )
[9019]	765	!
	766	ENDIF
	767	!
[1531]	768	END SUBROUTINE tke_rst
[1239]	769
	770	!!======================================================================
[1531]	771	END MODULE zdftke

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