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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 @ 13006

Last change on this file since 13006 was 13006, checked in by cetlod, 4 years ago
branch clem_dan_fixcpl : add mixing length parameterization depending on sea-ice thickness, see ticket #2476
Property svn:keywords set to `Id`
File size: 46.0 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
	30	!! - ! 2017-05 (G. Madec) add top/bottom friction as boundary condition (ln_drg)
[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)
[9019]	81	LOGICAL :: ln_drg ! top/bottom friction forcing flag
[4147]	82	INTEGER :: nn_etau ! type of depth penetration of surface tke (=0/1/2/3)
[9019]	83	INTEGER :: nn_htau ! type of tke profile of penetration (=0/1)
	84	REAL(wp) :: rn_efr ! fraction of TKE surface value which penetrates in the ocean
[9546]	85	REAL(wp) :: rn_eice ! =0 ON below sea-ice, =4 OFF when ice fraction > 1/4
[4147]	86	LOGICAL :: ln_lc ! Langmuir cells (LC) as a source term of TKE or not
[9019]	87	REAL(wp) :: rn_lc ! coef to compute vertical velocity of Langmuir cells
[1239]	88
[4147]	89	REAL(wp) :: ri_cri ! critic Richardson number (deduced from rn_ediff and rn_ediss values)
	90	REAL(wp) :: rmxl_min ! minimum mixing length value (deduced from rn_ediff and rn_emin values) [m]
[2528]	91	REAL(wp) :: rhftau_add = 1.e-3_wp ! add offset applied to HF part of taum (nn_etau=3)
	92	REAL(wp) :: rhftau_scl = 1.0_wp ! scale factor applied to HF part of taum (nn_etau=3)
[1239]	93
[9019]	94	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: htau ! depth of tke penetration (nn_htau)
	95	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: dissl ! now mixing lenght of dissipation
	96	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: apdlr ! now mixing lenght of dissipation
[1492]	97
[1239]	98	!! * Substitutions
	99	# include "vectopt_loop_substitute.h90"
	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
[9019]	119	SUBROUTINE zdf_tke( kt, 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
	165	REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: p_sh2 ! shear production term
	166	REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: p_avm, p_avt ! momentum and tracer Kz (w-points)
[1492]	167	!!----------------------------------------------------------------------
[1481]	168	!
[9019]	169	CALL tke_tke( gdepw_n, e3t_n, e3w_n, p_sh2, p_avm, p_avt ) ! now tke (en)
[5656]	170	!
[9019]	171	CALL tke_avn( gdepw_n, e3t_n, e3w_n, p_avm, p_avt ) ! now avt, avm, dissl
[3632]	172	!
[5656]	173	END SUBROUTINE zdf_tke
[1239]	174
[1492]	175
[9019]	176	SUBROUTINE tke_tke( pdepw, p_e3t, p_e3w, p_sh2, p_avm, p_avt )
[1239]	177	!!----------------------------------------------------------------------
[1492]	178	!! * ROUTINE tke_tke *
	179	!!
	180	!! ** Purpose : Compute the now Turbulente Kinetic Energy (TKE)
	181	!!
	182	!! ** Method : - TKE surface boundary condition
[2528]	183	!! - source term due to Langmuir cells (Axell JGR 2002) (ln_lc=T)
[9019]	184	!! - source term due to shear (= Kz dz[Ub] * dz[Un] )
[1492]	185	!! - Now TKE : resolution of the TKE equation by inverting
	186	!! a tridiagonal linear system by a "methode de chasse"
	187	!! - increase TKE due to surface and internal wave breaking
[9019]	188	!! NB: when sea-ice is present, both LC parameterization
	189	!! and TKE penetration are turned off when the ice fraction
	190	!! is smaller than 0.25
[1492]	191	!!
	192	!! ** Action : - en : now turbulent kinetic energy)
[1239]	193	!! ---------------------------------------------------------------------
[9019]	194	USE zdf_oce , ONLY : en ! ocean vertical physics
	195	!!
	196	REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: pdepw ! depth of w-points
	197	REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: p_e3t, p_e3w ! level thickness (t- & w-points)
	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	!
[1695]	216	zbbrau = rn_ebb / rau0 ! Local constant initialisation
[2528]	217	zfact1 = -.5_wp * rdt
	218	zfact2 = 1.5_wp * rdt * rn_ediss
	219	zfact3 = 0.5_wp * rn_ediss
[1492]	220	!
	221	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[9019]	222	! ! Surface/top/bottom boundary condition on tke
[1492]	223	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[9019]	224
	225	DO jj = 2, jpjm1 ! en(1) = rn_ebb taum / rau0 (min value rn_emin0)
	226	DO ji = fs_2, fs_jpim1 ! vector opt.
	227	en(ji,jj,1) = MAX( rn_emin0, zbbrau * taum(ji,jj) ) * tmask(ji,jj,1)
	228	END DO
	229	END DO
	230	!
[1492]	231	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	232	! ! Bottom boundary condition on tke
	233	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[1719]	234	!
[9019]	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	!
[9019]	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 )
[12703]	259	en(ji,jj,mikt(ji,jj)) = en(ji,jj,1) * tmask(ji,jj,1) &
	260	& + MAX( zetop, rn_emin ) * (1._wp - tmask(ji,jj,1)) * ssmask(ji,jj)
[9019]	261	END DO
	262	END DO
	263	ENDIF
	264	!
	265	ENDIF
	266	!
[1492]	267	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[9019]	268	IF( ln_lc ) THEN ! Langmuir circulation source term added to tke ! (Axell JGR 2002)
[1492]	269	! !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
[1239]	270	!
[1492]	271	! !* total energy produce by LC : cumulative sum over jk
[9019]	272	zpelc(:,:,1) = MAX( rn2b(:,:,1), 0._wp ) * pdepw(:,:,1) * p_e3w(:,:,1)
[1239]	273	DO jk = 2, jpk
[9019]	274	zpelc(:,:,jk) = zpelc(:,:,jk-1) + MAX( rn2b(:,:,jk), 0._wp ) * pdepw(:,:,jk) * p_e3w(:,:,jk)
[1239]	275	END DO
[1492]	276	! !* finite Langmuir Circulation depth
[1705]	277	zcof = 0.5 * 0.016 * 0.016 / ( zrhoa * zcdrag )
[7753]	278	imlc(:,:) = mbkt(:,:) + 1 ! Initialization to the number of w ocean point (=2 over land)
[1239]	279	DO jk = jpkm1, 2, -1
[1492]	280	DO jj = 1, jpj ! Last w-level at which zpelc>=0.5usus
	281	DO ji = 1, jpi ! with us=0.016*wind(starting from jpk-1)
[1705]	282	zus = zcof * taum(ji,jj)
[1239]	283	IF( zpelc(ji,jj,jk) > zus ) imlc(ji,jj) = jk
	284	END DO
	285	END DO
	286	END DO
[1492]	287	! ! finite LC depth
	288	DO jj = 1, jpj
[1239]	289	DO ji = 1, jpi
[9019]	290	zhlc(ji,jj) = pdepw(ji,jj,imlc(ji,jj))
[1239]	291	END DO
	292	END DO
[1705]	293	zcof = 0.016 / SQRT( zrhoa * zcdrag )
[10425]	294	DO jj = 2, jpjm1
	295	DO ji = fs_2, fs_jpim1 ! vector opt.
	296	zus = zcof * SQRT( taum(ji,jj) ) ! Stokes drift
	297	zfr_i(ji,jj) = ( 1._wp - 4._wp * fr_i(ji,jj) ) * zus * zus * zus * tmask(ji,jj,1) ! zus > 0. ok
	298	IF (zfr_i(ji,jj) < 0. ) zfr_i(ji,jj) = 0.
	299	END DO
	300	END DO
[1492]	301	DO jk = 2, jpkm1 !* TKE Langmuir circulation source term added to en
[1239]	302	DO jj = 2, jpjm1
	303	DO ji = fs_2, fs_jpim1 ! vector opt.
[10425]	304	IF ( zfr_i(ji,jj) /= 0. ) THEN
	305	! vertical velocity due to LC
	306	IF ( pdepw(ji,jj,jk) - zhlc(ji,jj) < 0 .AND. wmask(ji,jj,jk) /= 0. ) THEN
	307	! ! vertical velocity due to LC
	308	zwlc = rn_lc * SIN( rpi * pdepw(ji,jj,jk) / zhlc(ji,jj) ) ! warning: optimization: zus^3 is in zfr_i
	309	! ! TKE Langmuir circulation source term
	310	en(ji,jj,jk) = en(ji,jj,jk) + rdt * zfr_i(ji,jj) * ( zwlc * zwlc * zwlc ) / zhlc(ji,jj)
	311	ENDIF
	312	ENDIF
[1239]	313	END DO
	314	END DO
	315	END DO
	316	!
	317	ENDIF
[1492]	318	!
	319	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	320	! ! Now Turbulent kinetic energy (output in en)
	321	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	322	! ! Resolution of a tridiagonal linear system by a "methode de chasse"
	323	! ! computation from level 2 to jpkm1 (e(1) already computed and e(jpk)=0 ).
	324	! ! zdiag : diagonal zd_up : upper diagonal zd_lw : lower diagonal
	325	!
[9019]	326	IF( nn_pdl == 1 ) THEN !* Prandtl number = F( Ri )
[5656]	327	DO jk = 2, jpkm1
	328	DO jj = 2, jpjm1
[9019]	329	DO ji = 2, jpim1
	330	! ! local Richardson number
	331	zri = MAX( rn2b(ji,jj,jk), 0._wp ) * p_avm(ji,jj,jk) / ( p_sh2(ji,jj,jk) + rn_bshear )
	332	! ! inverse of Prandtl number
[5656]	333	apdlr(ji,jj,jk) = MAX( 0.1_wp, ri_cri / MAX( ri_cri , zri ) )
	334	END DO
	335	END DO
	336	END DO
	337	ENDIF
[5836]	338	!
[5120]	339	DO jk = 2, jpkm1 !* Matrix and right hand side in en
	340	DO jj = 2, jpjm1
	341	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	342	zcof = zfact1 * tmask(ji,jj,jk)
[9019]	343	! ! A minimum of 2.e-5 m2/s is imposed on TKE vertical
	344	! ! eddy coefficient (ensure numerical stability)
	345	zzd_up = zcof * MAX( p_avm(ji,jj,jk+1) + p_avm(ji,jj,jk ) , 2.e-5_wp ) & ! upper diagonal
	346	& / ( p_e3t(ji,jj,jk ) * p_e3w(ji,jj,jk ) )
	347	zzd_lw = zcof * MAX( p_avm(ji,jj,jk ) + p_avm(ji,jj,jk-1) , 2.e-5_wp ) & ! lower diagonal
	348	& / ( p_e3t(ji,jj,jk-1) * p_e3w(ji,jj,jk ) )
[5656]	349	!
[1492]	350	zd_up(ji,jj,jk) = zzd_up ! Matrix (zdiag, zd_up, zd_lw)
	351	zd_lw(ji,jj,jk) = zzd_lw
[9019]	352	zdiag(ji,jj,jk) = 1._wp - zzd_lw - zzd_up + zfact2 * dissl(ji,jj,jk) * wmask(ji,jj,jk)
[1239]	353	!
[1492]	354	! ! right hand side in en
[9019]	355	en(ji,jj,jk) = en(ji,jj,jk) + rdt * ( p_sh2(ji,jj,jk) & ! shear
	356	& - p_avt(ji,jj,jk) * rn2(ji,jj,jk) & ! stratification
	357	& + zfact3 * dissl(ji,jj,jk) * en(ji,jj,jk) & ! dissipation
	358	& ) * wmask(ji,jj,jk)
[1239]	359	END DO
[5120]	360	END DO
	361	END DO
	362	! !* Matrix inversion from level 2 (tke prescribed at level 1)
	363	DO jk = 3, jpkm1 ! First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1
	364	DO jj = 2, jpjm1
	365	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	366	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]	367	END DO
[5120]	368	END DO
	369	END DO
[5836]	370	DO jj = 2, jpjm1 ! Second recurrence : Lk = RHSk - Lk / Dk-1 * Lk-1
[5120]	371	DO ji = fs_2, fs_jpim1 ! vector opt.
	372	zd_lw(ji,jj,2) = en(ji,jj,2) - zd_lw(ji,jj,2) * en(ji,jj,1) ! Surface boudary conditions on tke
	373	END DO
	374	END DO
	375	DO jk = 3, jpkm1
	376	DO jj = 2, jpjm1
	377	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	378	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]	379	END DO
[5120]	380	END DO
	381	END DO
[5836]	382	DO jj = 2, jpjm1 ! thrid recurrence : Ek = ( Lk - Uk * Ek+1 ) / Dk
[5120]	383	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	384	en(ji,jj,jpkm1) = zd_lw(ji,jj,jpkm1) / zdiag(ji,jj,jpkm1)
[5120]	385	END DO
	386	END DO
	387	DO jk = jpk-2, 2, -1
	388	DO jj = 2, jpjm1
	389	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	390	en(ji,jj,jk) = ( zd_lw(ji,jj,jk) - zd_up(ji,jj,jk) * en(ji,jj,jk+1) ) / zdiag(ji,jj,jk)
[1239]	391	END DO
[5120]	392	END DO
	393	END DO
	394	DO jk = 2, jpkm1 ! set the minimum value of tke
	395	DO jj = 2, jpjm1
	396	DO ji = fs_2, fs_jpim1 ! vector opt.
	397	en(ji,jj,jk) = MAX( en(ji,jj,jk), rn_emin ) * wmask(ji,jj,jk)
[1239]	398	END DO
	399	END DO
	400	END DO
[9019]	401	!
[1492]	402	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	403	! ! TKE due to surface and internal wave breaking
	404	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[6140]	405	!!gm BUG : in the exp remove the depth of ssh !!!
[9019]	406	!!gm i.e. use gde3w in argument (pdepw)
[6140]	407
	408
[2528]	409	IF( nn_etau == 1 ) THEN !* penetration below the mixed layer (rn_efr fraction)
[9546]	410	DO jk = 2, jpkm1 ! rn_eice =0 ON below sea-ice, =4 OFF when ice fraction > 0.25
[1239]	411	DO jj = 2, jpjm1
	412	DO ji = fs_2, fs_jpim1 ! vector opt.
[9019]	413	en(ji,jj,jk) = en(ji,jj,jk) + rn_efr * en(ji,jj,1) * EXP( -pdepw(ji,jj,jk) / htau(ji,jj) ) &
[9546]	414	& * MAX(0.,1._wp - rn_eice fr_i(ji,jj) ) wmask(ji,jj,jk) * tmask(ji,jj,1)
[1239]	415	END DO
	416	END DO
[1492]	417	END DO
[2528]	418	ELSEIF( nn_etau == 2 ) THEN !* act only at the base of the mixed layer (jk=nmln) (rn_efr fraction)
[1492]	419	DO jj = 2, jpjm1
	420	DO ji = fs_2, fs_jpim1 ! vector opt.
	421	jk = nmln(ji,jj)
[9019]	422	en(ji,jj,jk) = en(ji,jj,jk) + rn_efr * en(ji,jj,1) * EXP( -pdepw(ji,jj,jk) / htau(ji,jj) ) &
[9546]	423	& * MAX(0.,1._wp - rn_eice fr_i(ji,jj) ) wmask(ji,jj,jk) * tmask(ji,jj,1)
[1239]	424	END DO
[1492]	425	END DO
[2528]	426	ELSEIF( nn_etau == 3 ) THEN !* penetration belox the mixed layer (HF variability)
[1705]	427	DO jk = 2, jpkm1
	428	DO jj = 2, jpjm1
	429	DO ji = fs_2, fs_jpim1 ! vector opt.
	430	ztx2 = utau(ji-1,jj ) + utau(ji,jj)
	431	zty2 = vtau(ji ,jj-1) + vtau(ji,jj)
[4990]	432	ztau = 0.5_wp * SQRT( ztx2 * ztx2 + zty2 * zty2 ) * tmask(ji,jj,1) ! module of the mean stress
[2528]	433	zdif = taum(ji,jj) - ztau ! mean of modulus - modulus of the mean
	434	zdif = rhftau_scl * MAX( 0._wp, zdif + rhftau_add ) ! apply some modifications...
[9019]	435	en(ji,jj,jk) = en(ji,jj,jk) + zbbrau * zdif * EXP( -pdepw(ji,jj,jk) / htau(ji,jj) ) &
[9546]	436	& * MAX(0.,1._wp - rn_eice fr_i(ji,jj) ) wmask(ji,jj,jk) * tmask(ji,jj,1)
[1705]	437	END DO
	438	END DO
	439	END DO
[1239]	440	ENDIF
[1492]	441	!
[1239]	442	END SUBROUTINE tke_tke
	443
[1492]	444
[9019]	445	SUBROUTINE tke_avn( pdepw, p_e3t, p_e3w, p_avm, p_avt )
[1239]	446	!!----------------------------------------------------------------------
[1492]	447	!! * ROUTINE tke_avn *
[1239]	448	!!
[1492]	449	!! ** Purpose : Compute the vertical eddy viscosity and diffusivity
	450	!!
	451	!! ** Method : At this stage, en, the now TKE, is known (computed in
	452	!! the tke_tke routine). First, the now mixing lenth is
	453	!! computed from en and the strafification (N^2), then the mixings
	454	!! coefficients are computed.
	455	!! - Mixing length : a first evaluation of the mixing lengh
	456	!! scales is:
	457	!! mxl = sqrt(2*en) / N
	458	!! where N is the brunt-vaisala frequency, with a minimum value set
[2528]	459	!! to rmxl_min (rn_mxl0) in the interior (surface) ocean.
[1492]	460	!! The mixing and dissipative length scale are bound as follow :
	461	!! nn_mxl=0 : mxl bounded by the distance to surface and bottom.
	462	!! zmxld = zmxlm = mxl
	463	!! nn_mxl=1 : mxl bounded by the e3w and zmxld = zmxlm = mxl
	464	!! nn_mxl=2 : mxl bounded such that the vertical derivative of mxl is
	465	!! less than 1 (\|d/dz(mxl)\|<1) and zmxld = zmxlm = mxl
	466	!! nn_mxl=3 : mxl is bounded from the surface to the bottom usings
	467	!! \|d/dz(xml)\|<1 to obtain lup, and from the bottom to
	468	!! the surface to obtain ldown. the resulting length
	469	!! scales are:
	470	!! zmxld = sqrt( lup * ldown )
	471	!! zmxlm = min ( lup , ldown )
	472	!! - Vertical eddy viscosity and diffusivity:
	473	!! avm = max( avtb, rn_ediff * zmxlm * en^1/2 )
	474	!! avt = max( avmb, pdlr * avm )
	475	!! with pdlr=1 if nn_pdl=0, pdlr=1/pdl=F(Ri) otherwise.
	476	!!
[9019]	477	!! ** Action : - avt, avm : now vertical eddy diffusivity and viscosity (w-point)
[1239]	478	!!----------------------------------------------------------------------
[9019]	479	USE zdf_oce , ONLY : en, avtb, avmb, avtb_2d ! ocean vertical physics
	480	!!
	481	REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: pdepw ! depth (w-points)
	482	REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: p_e3t, p_e3w ! level thickness (t- & w-points)
	483	REAL(wp), DIMENSION(:,:,:), INTENT( out) :: p_avm, p_avt ! vertical eddy viscosity & diffusivity (w-points)
	484	!
[2715]	485	INTEGER :: ji, jj, jk ! dummy loop indices
[9019]	486	REAL(wp) :: zrn2, zraug, zcoef, zav ! local scalars
	487	REAL(wp) :: zdku, zdkv, zsqen ! - -
[13006]	488	REAL(wp) :: zemxl, zemlm, zemlp, zmaxice ! - -
[9019]	489	REAL(wp), DIMENSION(jpi,jpj,jpk) :: zmxlm, zmxld ! 3D workspace
[1239]	490	!!--------------------------------------------------------------------
[3294]	491	!
[1492]	492	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	493	! ! Mixing length
	494	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	495	!
	496	! !* Buoyancy length scale: l=sqrt(2e/n*2)
	497	!
[5120]	498	! initialisation of interior minimum value (avoid a 2d loop with mikt)
[7753]	499	zmxlm(:,:,:) = rmxl_min
	500	zmxld(:,:,:) = rmxl_min
[5120]	501	!
[13006]	502	IF( ln_mxl0 ) THEN ! surface mixing length = F(stress) : l=vkarmn2.e5taum/(rau0*g)
	503	!
[9019]	504	zraug = vkarmn * 2.e5_wp / ( rau0 * grav )
[13006]	505	#if ! defined key_si3 && ! defined key_cice
[4990]	506	DO jj = 2, jpjm1
	507	DO ji = fs_2, fs_jpim1
[13006]	508	zmxlm(ji,jj,1) = zraug * taum(ji,jj) * tmask(ji,jj,1)
[4990]	509	END DO
	510	END DO
[13006]	511	#else
	512	SELECT CASE( nn_mxlice ) ! Type of scaling under sea-ice
	513	!
	514	CASE( 0 ) ! No scaling under sea-ice
	515	DO jj = 2, jpjm1
	516	DO ji = fs_2, fs_jpim1
	517	zmxlm(ji,jj,1) = zraug * taum(ji,jj) * tmask(ji,jj,1)
	518	END DO
	519	END DO
	520	!
	521	CASE( 1 ) ! scaling with constant sea-ice thickness
	522	DO jj = 2, jpjm1
	523	DO ji = fs_2, fs_jpim1
	524	zmxlm(ji,jj,1) = ( ( 1. - fr_i(ji,jj) ) * zraug * taum(ji,jj) + fr_i(ji,jj) * rn_mxlice ) * tmask(ji,jj,1)
	525	END DO
	526	END DO
	527	!
	528	CASE( 2 ) ! scaling with mean sea-ice thickness
	529	DO jj = 2, jpjm1
	530	DO ji = fs_2, fs_jpim1
	531	#if defined key_si3
	532	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)
	533	#elif defined key_cice
	534	zmaxice = MAXVAL( h_i(ji,jj,:) )
	535	zmxlm(ji,jj,1) = ( ( 1. - fr_i(ji,jj) ) * zraug * taum(ji,jj) + fr_i(ji,jj) * zmaxice ) * tmask(ji,jj,1)
	536	#endif
	537	END DO
	538	END DO
	539	!
	540	CASE( 3 ) ! scaling with max sea-ice thickness
	541	DO jj = 2, jpjm1
	542	DO ji = fs_2, fs_jpim1
	543	zmaxice = MAXVAL( h_i(ji,jj,:) )
	544	zmxlm(ji,jj,1) = ( ( 1. - fr_i(ji,jj) ) * zraug * taum(ji,jj) + fr_i(ji,jj) * zmaxice ) * tmask(ji,jj,1)
	545	END DO
	546	END DO
	547	!
	548	END SELECT
	549	#endif
	550	!
	551	DO jj = 2, jpjm1
	552	DO ji = fs_2, fs_jpim1
	553	zmxlm(ji,jj,1) = MAX( rn_mxl0, zmxlm(ji,jj,1) )
	554	END DO
	555	END DO
	556	!
	557	ELSE
[7753]	558	zmxlm(:,:,1) = rn_mxl0
[1239]	559	ENDIF
	560	!
[5120]	561	DO jk = 2, jpkm1 ! interior value : l=sqrt(2*e/n^2)
	562	DO jj = 2, jpjm1
	563	DO ji = fs_2, fs_jpim1 ! vector opt.
[1239]	564	zrn2 = MAX( rn2(ji,jj,jk), rsmall )
[5836]	565	zmxlm(ji,jj,jk) = MAX( rmxl_min, SQRT( 2._wp * en(ji,jj,jk) / zrn2 ) )
[1239]	566	END DO
	567	END DO
	568	END DO
[1492]	569	!
	570	! !* Physical limits for the mixing length
	571	!
[7753]	572	zmxld(:,:, 1 ) = zmxlm(:,:,1) ! surface set to the minimum value
	573	zmxld(:,:,jpk) = rmxl_min ! last level set to the minimum value
[1492]	574	!
[1239]	575	SELECT CASE ( nn_mxl )
	576	!
[5836]	577	!!gm Not sure of that coding for ISF....
[9019]	578	! where wmask = 0 set zmxlm == p_e3w
[1239]	579	CASE ( 0 ) ! bounded by the distance to surface and bottom
[5120]	580	DO jk = 2, jpkm1
	581	DO jj = 2, jpjm1
	582	DO ji = fs_2, fs_jpim1 ! vector opt.
[9019]	583	zemxl = MIN( pdepw(ji,jj,jk) - pdepw(ji,jj,mikt(ji,jj)), zmxlm(ji,jj,jk), &
	584	& pdepw(ji,jj,mbkt(ji,jj)+1) - pdepw(ji,jj,jk) )
[5120]	585	! wmask prevent zmxlm = 0 if jk = mikt(ji,jj)
[9019]	586	zmxlm(ji,jj,jk) = zemxl * wmask(ji,jj,jk) + MIN( zmxlm(ji,jj,jk) , p_e3w(ji,jj,jk) ) * (1 - wmask(ji,jj,jk))
	587	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]	588	END DO
	589	END DO
	590	END DO
	591	!
	592	CASE ( 1 ) ! bounded by the vertical scale factor
[5120]	593	DO jk = 2, jpkm1
	594	DO jj = 2, jpjm1
	595	DO ji = fs_2, fs_jpim1 ! vector opt.
[9019]	596	zemxl = MIN( p_e3w(ji,jj,jk), zmxlm(ji,jj,jk) )
[1239]	597	zmxlm(ji,jj,jk) = zemxl
	598	zmxld(ji,jj,jk) = zemxl
	599	END DO
	600	END DO
	601	END DO
	602	!
	603	CASE ( 2 ) ! \|dk[xml]\| bounded by e3t :
[5120]	604	DO jk = 2, jpkm1 ! from the surface to the bottom :
	605	DO jj = 2, jpjm1
	606	DO ji = fs_2, fs_jpim1 ! vector opt.
[9019]	607	zmxlm(ji,jj,jk) = MIN( zmxlm(ji,jj,jk-1) + p_e3t(ji,jj,jk-1), zmxlm(ji,jj,jk) )
[1239]	608	END DO
[5120]	609	END DO
	610	END DO
	611	DO jk = jpkm1, 2, -1 ! from the bottom to the surface :
	612	DO jj = 2, jpjm1
	613	DO ji = fs_2, fs_jpim1 ! vector opt.
[9019]	614	zemxl = MIN( zmxlm(ji,jj,jk+1) + p_e3t(ji,jj,jk+1), zmxlm(ji,jj,jk) )
[1239]	615	zmxlm(ji,jj,jk) = zemxl
	616	zmxld(ji,jj,jk) = zemxl
	617	END DO
	618	END DO
	619	END DO
	620	!
	621	CASE ( 3 ) ! lup and ldown, \|dk[xml]\| bounded by e3t :
[5120]	622	DO jk = 2, jpkm1 ! from the surface to the bottom : lup
	623	DO jj = 2, jpjm1
	624	DO ji = fs_2, fs_jpim1 ! vector opt.
[9019]	625	zmxld(ji,jj,jk) = MIN( zmxld(ji,jj,jk-1) + p_e3t(ji,jj,jk-1), zmxlm(ji,jj,jk) )
[1239]	626	END DO
[5120]	627	END DO
	628	END DO
	629	DO jk = jpkm1, 2, -1 ! from the bottom to the surface : ldown
	630	DO jj = 2, jpjm1
	631	DO ji = fs_2, fs_jpim1 ! vector opt.
[9019]	632	zmxlm(ji,jj,jk) = MIN( zmxlm(ji,jj,jk+1) + p_e3t(ji,jj,jk+1), zmxlm(ji,jj,jk) )
[1239]	633	END DO
	634	END DO
	635	END DO
	636	DO jk = 2, jpkm1
	637	DO jj = 2, jpjm1
	638	DO ji = fs_2, fs_jpim1 ! vector opt.
	639	zemlm = MIN ( zmxld(ji,jj,jk), zmxlm(ji,jj,jk) )
	640	zemlp = SQRT( zmxld(ji,jj,jk) * zmxlm(ji,jj,jk) )
	641	zmxlm(ji,jj,jk) = zemlm
	642	zmxld(ji,jj,jk) = zemlp
	643	END DO
	644	END DO
	645	END DO
	646	!
	647	END SELECT
[1492]	648	!
	649	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[9019]	650	! ! Vertical eddy viscosity and diffusivity (avm and avt)
[1492]	651	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	652	DO jk = 1, jpkm1 !* vertical eddy viscosity & diffivity at w-points
[1239]	653	DO jj = 2, jpjm1
	654	DO ji = fs_2, fs_jpim1 ! vector opt.
	655	zsqen = SQRT( en(ji,jj,jk) )
	656	zav = rn_ediff * zmxlm(ji,jj,jk) * zsqen
[9019]	657	p_avm(ji,jj,jk) = MAX( zav, avmb(jk) ) * wmask(ji,jj,jk)
	658	p_avt(ji,jj,jk) = MAX( zav, avtb_2d(ji,jj) * avtb(jk) ) * wmask(ji,jj,jk)
[1239]	659	dissl(ji,jj,jk) = zsqen / zmxld(ji,jj,jk)
	660	END DO
	661	END DO
	662	END DO
[1492]	663	!
	664	!
	665	IF( nn_pdl == 1 ) THEN !* Prandtl number case: update avt
[5120]	666	DO jk = 2, jpkm1
	667	DO jj = 2, jpjm1
	668	DO ji = fs_2, fs_jpim1 ! vector opt.
[12697]	669	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]	670	END DO
	671	END DO
	672	END DO
	673	ENDIF
[9019]	674	!
[1239]	675	IF(ln_ctl) THEN
[9440]	676	CALL prt_ctl( tab3d_1=en , clinfo1=' tke - e: ', tab3d_2=p_avt, clinfo2=' t: ', kdim=jpk)
	677	CALL prt_ctl( tab3d_1=p_avm, clinfo1=' tke - m: ', kdim=jpk )
[1239]	678	ENDIF
	679	!
[1492]	680	END SUBROUTINE tke_avn
[1239]	681
[1492]	682
[2528]	683	SUBROUTINE zdf_tke_init
[1239]	684	!!----------------------------------------------------------------------
[2528]	685	!! * ROUTINE zdf_tke_init *
[1239]	686	!!
	687	!! ** Purpose : Initialization of the vertical eddy diffivity and
[1492]	688	!! viscosity when using a tke turbulent closure scheme
[1239]	689	!!
[1601]	690	!! ** Method : Read the namzdf_tke namelist and check the parameters
[1492]	691	!! called at the first timestep (nit000)
[1239]	692	!!
[1601]	693	!! ** input : Namlist namzdf_tke
[1239]	694	!!
	695	!! ** Action : Increase by 1 the nstop flag is setting problem encounter
	696	!!----------------------------------------------------------------------
[9019]	697	USE zdf_oce , ONLY : ln_zdfiwm ! Internal Wave Mixing flag
	698	!!
[1239]	699	INTEGER :: ji, jj, jk ! dummy loop indices
[4147]	700	INTEGER :: ios
[1239]	701	!!
[13006]	702	NAMELIST/namzdf_tke/ rn_ediff, rn_ediss , rn_ebb , rn_emin , &
	703	& rn_emin0, rn_bshear, nn_mxl , ln_mxl0 , &
	704	& rn_mxl0 , nn_mxlice, rn_mxlice, &
	705	& nn_pdl , ln_drg , ln_lc , rn_lc, &
	706	& nn_etau , nn_htau , rn_efr , rn_eice
[1239]	707	!!----------------------------------------------------------------------
[2715]	708	!
[4147]	709	REWIND( numnam_ref ) ! Namelist namzdf_tke in reference namelist : Turbulent Kinetic Energy
	710	READ ( numnam_ref, namzdf_tke, IOSTAT = ios, ERR = 901)
[11536]	711	901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_tke in reference namelist' )
[4147]	712
	713	REWIND( numnam_cfg ) ! Namelist namzdf_tke in configuration namelist : Turbulent Kinetic Energy
	714	READ ( numnam_cfg, namzdf_tke, IOSTAT = ios, ERR = 902 )
[11536]	715	902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namzdf_tke in configuration namelist' )
[4624]	716	IF(lwm) WRITE ( numond, namzdf_tke )
[2715]	717	!
[2528]	718	ri_cri = 2._wp / ( 2._wp + rn_ediss / rn_ediff ) ! resulting critical Richardson number
[2715]	719	!
[1492]	720	IF(lwp) THEN !* Control print
[1239]	721	WRITE(numout,*)
[2528]	722	WRITE(numout,*) 'zdf_tke_init : tke turbulent closure scheme - initialisation'
	723	WRITE(numout,*) '~~~~~~~~~~~~'
[1601]	724	WRITE(numout,*) ' Namelist namzdf_tke : set tke mixing parameters'
[1705]	725	WRITE(numout,*) ' coef. to compute avt rn_ediff = ', rn_ediff
	726	WRITE(numout,*) ' Kolmogoroff dissipation coef. rn_ediss = ', rn_ediss
	727	WRITE(numout,*) ' tke surface input coef. rn_ebb = ', rn_ebb
	728	WRITE(numout,*) ' minimum value of tke rn_emin = ', rn_emin
	729	WRITE(numout,*) ' surface minimum value of tke rn_emin0 = ', rn_emin0
[9019]	730	WRITE(numout,*) ' prandl number flag nn_pdl = ', nn_pdl
[1705]	731	WRITE(numout,*) ' background shear (>0) rn_bshear = ', rn_bshear
	732	WRITE(numout,*) ' mixing length type nn_mxl = ', nn_mxl
[9019]	733	WRITE(numout,*) ' surface mixing length = F(stress) or not ln_mxl0 = ', ln_mxl0
	734	WRITE(numout,*) ' surface mixing length minimum value rn_mxl0 = ', rn_mxl0
[13006]	735	IF( ln_mxl0 ) THEN
	736	WRITE(numout,*) ' type of scaling under sea-ice nn_mxlice = ', nn_mxlice
	737	IF( nn_mxlice == 1 ) &
	738	WRITE(numout,*) ' ice thickness when scaling under sea-ice rn_mxlice = ', rn_mxlice
	739	ENDIF
[9019]	740	WRITE(numout,*) ' top/bottom friction forcing flag ln_drg = ', ln_drg
	741	WRITE(numout,*) ' Langmuir cells parametrization ln_lc = ', ln_lc
	742	WRITE(numout,*) ' coef to compute vertical velocity of LC rn_lc = ', rn_lc
[1705]	743	WRITE(numout,*) ' test param. to add tke induced by wind nn_etau = ', nn_etau
[9019]	744	WRITE(numout,*) ' type of tke penetration profile nn_htau = ', nn_htau
	745	WRITE(numout,*) ' fraction of TKE that penetrates rn_efr = ', rn_efr
[9546]	746	WRITE(numout,*) ' below sea-ice: =0 ON rn_eice = ', rn_eice
	747	WRITE(numout,*) ' =4 OFF when ice fraction > 1/4 '
[9019]	748	IF( ln_drg ) THEN
[9169]	749	WRITE(numout,*)
[9019]	750	WRITE(numout,*) ' Namelist namdrg_top/_bot: used values:'
	751	WRITE(numout,*) ' top ocean cavity roughness (m) rn_z0(_top)= ', r_z0_top
	752	WRITE(numout,*) ' Bottom seafloor roughness (m) rn_z0(_bot)= ', r_z0_bot
	753	ENDIF
	754	WRITE(numout,*)
[9190]	755	WRITE(numout,*) ' ==>>> critical Richardson nb with your parameters ri_cri = ', ri_cri
[9019]	756	WRITE(numout,*)
[1239]	757	ENDIF
[2715]	758	!
[9019]	759	IF( ln_zdfiwm ) THEN ! Internal wave-driven mixing
	760	rn_emin = 1.e-10_wp ! specific values of rn_emin & rmxl_min are used
	761	rmxl_min = 1.e-03_wp ! associated avt minimum = molecular salt diffusivity (10^-9 m2/s)
[9190]	762	IF(lwp) WRITE(numout,*) ' ==>>> Internal wave-driven mixing case: force rn_emin = 1.e-10 and rmxl_min = 1.e-3'
[9019]	763	ELSE ! standard case : associated avt minimum = molecular viscosity (10^-6 m2/s)
	764	rmxl_min = 1.e-6_wp / ( rn_ediff * SQRT( rn_emin ) ) ! resulting minimum length to recover molecular viscosity
[9190]	765	IF(lwp) WRITE(numout,*) ' ==>>> minimum mixing length with your parameters rmxl_min = ', rmxl_min
[9019]	766	ENDIF
	767	!
[2715]	768	! ! allocate tke arrays
	769	IF( zdf_tke_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_tke_init : unable to allocate arrays' )
	770	!
[1492]	771	! !* Check of some namelist values
[4990]	772	IF( nn_mxl < 0 .OR. nn_mxl > 3 ) CALL ctl_stop( 'bad flag: nn_mxl is 0, 1 or 2 ' )
	773	IF( nn_pdl < 0 .OR. nn_pdl > 1 ) CALL ctl_stop( 'bad flag: nn_pdl is 0 or 1 ' )
	774	IF( nn_htau < 0 .OR. nn_htau > 1 ) CALL ctl_stop( 'bad flag: nn_htau is 0, 1 or 2 ' )
[5407]	775	IF( nn_etau == 3 .AND. .NOT. ln_cpl ) CALL ctl_stop( 'nn_etau == 3 : HF taum only known in coupled mode' )
[9019]	776	!
[2528]	777	IF( ln_mxl0 ) THEN
[9169]	778	IF(lwp) WRITE(numout,*)
[9190]	779	IF(lwp) WRITE(numout,*) ' ==>>> use a surface mixing length = F(stress) : set rn_mxl0 = rmxl_min'
[2528]	780	rn_mxl0 = rmxl_min
	781	ENDIF
	782
[1492]	783	IF( nn_etau == 2 ) CALL zdf_mxl( nit000 ) ! Initialization of nmln
[1239]	784
[1492]	785	! !* depth of penetration of surface tke
	786	IF( nn_etau /= 0 ) THEN
[1601]	787	SELECT CASE( nn_htau ) ! Choice of the depth of penetration
[2528]	788	CASE( 0 ) ! constant depth penetration (here 10 meters)
[7753]	789	htau(:,:) = 10._wp
[2528]	790	CASE( 1 ) ! F(latitude) : 0.5m to 30m poleward of 40 degrees
[7753]	791	htau(:,:) = MAX( 0.5_wp, MIN( 30._wp, 45._wp* ABS( SIN( rpi/180._wp * gphit(:,:) ) ) ) )
[1492]	792	END SELECT
	793	ENDIF
[9019]	794	! !* read or initialize all required files
	795	CALL tke_rst( nit000, 'READ' ) ! (en, avt_k, avm_k, dissl)
[1239]	796	!
[9367]	797	IF( lwxios ) THEN
	798	CALL iom_set_rstw_var_active('en')
	799	CALL iom_set_rstw_var_active('avt_k')
	800	CALL iom_set_rstw_var_active('avm_k')
	801	CALL iom_set_rstw_var_active('dissl')
	802	ENDIF
[2528]	803	END SUBROUTINE zdf_tke_init
[1239]	804
	805
[1531]	806	SUBROUTINE tke_rst( kt, cdrw )
[9019]	807	!!---------------------------------------------------------------------
	808	!! * ROUTINE tke_rst *
	809	!!
	810	!! ** Purpose : Read or write TKE file (en) in restart file
	811	!!
	812	!! ** Method : use of IOM library
	813	!! if the restart does not contain TKE, en is either
	814	!! set to rn_emin or recomputed
	815	!!----------------------------------------------------------------------
	816	USE zdf_oce , ONLY : en, avt_k, avm_k ! ocean vertical physics
	817	!!
	818	INTEGER , INTENT(in) :: kt ! ocean time-step
	819	CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag
	820	!
	821	INTEGER :: jit, jk ! dummy loop indices
	822	INTEGER :: id1, id2, id3, id4 ! local integers
	823	!!----------------------------------------------------------------------
	824	!
	825	IF( TRIM(cdrw) == 'READ' ) THEN ! Read/initialise
	826	! ! ---------------
	827	IF( ln_rstart ) THEN !* Read the restart file
	828	id1 = iom_varid( numror, 'en' , ldstop = .FALSE. )
	829	id2 = iom_varid( numror, 'avt_k', ldstop = .FALSE. )
	830	id3 = iom_varid( numror, 'avm_k', ldstop = .FALSE. )
	831	id4 = iom_varid( numror, 'dissl', ldstop = .FALSE. )
	832	!
	833	IF( MIN( id1, id2, id3, id4 ) > 0 ) THEN ! fields exist
[9367]	834	CALL iom_get( numror, jpdom_autoglo, 'en' , en , ldxios = lrxios )
	835	CALL iom_get( numror, jpdom_autoglo, 'avt_k', avt_k, ldxios = lrxios )
	836	CALL iom_get( numror, jpdom_autoglo, 'avm_k', avm_k, ldxios = lrxios )
	837	CALL iom_get( numror, jpdom_autoglo, 'dissl', dissl, ldxios = lrxios )
[9019]	838	ELSE ! start TKE from rest
[9169]	839	IF(lwp) WRITE(numout,*)
[9190]	840	IF(lwp) WRITE(numout,*) ' ==>>> previous run without TKE scheme, set en to background values'
[9019]	841	en (:,:,:) = rn_emin * wmask(:,:,:)
	842	dissl(:,:,:) = 1.e-12_wp
	843	! avt_k, avm_k already set to the background value in zdf_phy_init
	844	ENDIF
	845	ELSE !* Start from rest
[9169]	846	IF(lwp) WRITE(numout,*)
[9190]	847	IF(lwp) WRITE(numout,*) ' ==>>> start from rest: set en to the background value'
[9019]	848	en (:,:,:) = rn_emin * wmask(:,:,:)
	849	dissl(:,:,:) = 1.e-12_wp
	850	! avt_k, avm_k already set to the background value in zdf_phy_init
	851	ENDIF
	852	!
	853	ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN ! Create restart file
	854	! ! -------------------
[9169]	855	IF(lwp) WRITE(numout,*) '---- tke_rst ----'
[9367]	856	IF( lwxios ) CALL iom_swap( cwxios_context )
	857	CALL iom_rstput( kt, nitrst, numrow, 'en' , en , ldxios = lwxios )
	858	CALL iom_rstput( kt, nitrst, numrow, 'avt_k', avt_k, ldxios = lwxios )
	859	CALL iom_rstput( kt, nitrst, numrow, 'avm_k', avm_k, ldxios = lwxios )
	860	CALL iom_rstput( kt, nitrst, numrow, 'dissl', dissl, ldxios = lwxios )
	861	IF( lwxios ) CALL iom_swap( cxios_context )
[9019]	862	!
	863	ENDIF
	864	!
[1531]	865	END SUBROUTINE tke_rst
[1239]	866
	867	!!======================================================================
[1531]	868	END MODULE zdftke

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