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zdftke.F90 in NEMO/releases/r4.0/r4.0-HEAD/src/OCE/ZDF – NEMO

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source: NEMO/releases/r4.0/r4.0-HEAD/src/OCE/ZDF/zdftke.F90 @ 12703

Last change on this file since 12703 was 12703, checked in by mathiot, 4 years ago
ticket #2406: too long line (> 132 cols)
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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
	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	!
[1492]	48	USE in_out_manager ! I/O manager
	49	USE iom ! I/O manager library
[2715]	50	USE lib_mpp ! MPP library
[9019]	51	USE lbclnk ! ocean lateral boundary conditions (or mpp link)
	52	USE prtctl ! Print control
[3625]	53	USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined)
[1239]	54
	55	IMPLICIT NONE
	56	PRIVATE
	57
[2528]	58	PUBLIC zdf_tke ! routine called in step module
	59	PUBLIC zdf_tke_init ! routine called in opa module
	60	PUBLIC tke_rst ! routine called in step module
[1239]	61
[4147]	62	! !! Namelist namzdf_tke
	63	LOGICAL :: ln_mxl0 ! mixing length scale surface value as function of wind stress or not
	64	INTEGER :: nn_mxl ! type of mixing length (=0/1/2/3)
	65	REAL(wp) :: rn_mxl0 ! surface min value of mixing length (kappaz_o=0.40.1 m) [m]
	66	INTEGER :: nn_pdl ! Prandtl number or not (ratio avt/avm) (=0/1)
	67	REAL(wp) :: rn_ediff ! coefficient for avt: avt=rn_ediffmxlsqrt(e)
	68	REAL(wp) :: rn_ediss ! coefficient of the Kolmogoroff dissipation
	69	REAL(wp) :: rn_ebb ! coefficient of the surface input of tke
	70	REAL(wp) :: rn_emin ! minimum value of tke [m2/s2]
	71	REAL(wp) :: rn_emin0 ! surface minimum value of tke [m2/s2]
	72	REAL(wp) :: rn_bshear ! background shear (>0) currently a numerical threshold (do not change it)
[9019]	73	LOGICAL :: ln_drg ! top/bottom friction forcing flag
[4147]	74	INTEGER :: nn_etau ! type of depth penetration of surface tke (=0/1/2/3)
[9019]	75	INTEGER :: nn_htau ! type of tke profile of penetration (=0/1)
	76	REAL(wp) :: rn_efr ! fraction of TKE surface value which penetrates in the ocean
[9546]	77	REAL(wp) :: rn_eice ! =0 ON below sea-ice, =4 OFF when ice fraction > 1/4
[4147]	78	LOGICAL :: ln_lc ! Langmuir cells (LC) as a source term of TKE or not
[9019]	79	REAL(wp) :: rn_lc ! coef to compute vertical velocity of Langmuir cells
[1239]	80
[4147]	81	REAL(wp) :: ri_cri ! critic Richardson number (deduced from rn_ediff and rn_ediss values)
	82	REAL(wp) :: rmxl_min ! minimum mixing length value (deduced from rn_ediff and rn_emin values) [m]
[2528]	83	REAL(wp) :: rhftau_add = 1.e-3_wp ! add offset applied to HF part of taum (nn_etau=3)
	84	REAL(wp) :: rhftau_scl = 1.0_wp ! scale factor applied to HF part of taum (nn_etau=3)
[1239]	85
[9019]	86	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: htau ! depth of tke penetration (nn_htau)
	87	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: dissl ! now mixing lenght of dissipation
	88	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: apdlr ! now mixing lenght of dissipation
[1492]	89
[1239]	90	!! * Substitutions
	91	# include "vectopt_loop_substitute.h90"
	92	!!----------------------------------------------------------------------
[9598]	93	!! NEMO/OCE 4.0 , NEMO Consortium (2018)
[2528]	94	!! $Id$
[10068]	95	!! Software governed by the CeCILL license (see ./LICENSE)
[1239]	96	!!----------------------------------------------------------------------
	97	CONTAINS
	98
[2715]	99	INTEGER FUNCTION zdf_tke_alloc()
	100	!!----------------------------------------------------------------------
	101	!! * FUNCTION zdf_tke_alloc *
	102	!!----------------------------------------------------------------------
[9019]	103	ALLOCATE( htau(jpi,jpj) , dissl(jpi,jpj,jpk) , apdlr(jpi,jpj,jpk) , STAT= zdf_tke_alloc )
	104	!
[10425]	105	CALL mpp_sum ( 'zdftke', zdf_tke_alloc )
	106	IF( zdf_tke_alloc /= 0 ) CALL ctl_stop( 'STOP', 'zdf_tke_alloc: failed to allocate arrays' )
[2715]	107	!
	108	END FUNCTION zdf_tke_alloc
	109
	110
[9019]	111	SUBROUTINE zdf_tke( kt, p_sh2, p_avm, p_avt )
[1239]	112	!!----------------------------------------------------------------------
[1531]	113	!! * ROUTINE zdf_tke *
[1239]	114	!!
	115	!! ** Purpose : Compute the vertical eddy viscosity and diffusivity
[1492]	116	!! coefficients using a turbulent closure scheme (TKE).
[1239]	117	!!
[1492]	118	!! ** Method : The time evolution of the turbulent kinetic energy (tke)
	119	!! is computed from a prognostic equation :
	120	!! d(en)/dt = avm (d(u)/dz)**2 ! shear production
	121	!! + d( avm d(en)/dz )/dz ! diffusion of tke
	122	!! + avt N^2 ! stratif. destruc.
	123	!! - rn_ediss / emxl en**(2/3) ! Kolmogoroff dissipation
[1239]	124	!! with the boundary conditions:
[1695]	125	!! surface: en = max( rn_emin0, rn_ebb * taum )
[1239]	126	!! bottom : en = rn_emin
[1492]	127	!! The associated critical Richardson number is: ri_cri = 2/(2+rn_ediss/rn_ediff)
	128	!!
	129	!! The now Turbulent kinetic energy is computed using the following
	130	!! time stepping: implicit for vertical diffusion term, linearized semi
	131	!! implicit for kolmogoroff dissipation term, and explicit forward for
	132	!! both buoyancy and shear production terms. Therefore a tridiagonal
	133	!! linear system is solved. Note that buoyancy and shear terms are
	134	!! discretized in a energy conserving form (Bruchard 2002).
	135	!!
	136	!! The dissipative and mixing length scale are computed from en and
	137	!! the stratification (see tke_avn)
	138	!!
	139	!! The now vertical eddy vicosity and diffusivity coefficients are
	140	!! given by:
	141	!! avm = max( avtb, rn_ediff * zmxlm * en^1/2 )
	142	!! avt = max( avmb, pdl * avm )
[1239]	143	!! eav = max( avmb, avm )
[1492]	144	!! where pdl, the inverse of the Prandtl number is 1 if nn_pdl=0 and
	145	!! given by an empirical funtion of the localRichardson number if nn_pdl=1
[1239]	146	!!
	147	!! ** Action : compute en (now turbulent kinetic energy)
[9019]	148	!! update avt, avm (before vertical eddy coef.)
[1239]	149	!!
	150	!! References : Gaspar et al., JGR, 1990,
	151	!! Blanke and Delecluse, JPO, 1991
	152	!! Mellor and Blumberg, JPO 2004
	153	!! Axell, JGR, 2002
[1492]	154	!! Bruchard OM 2002
[1239]	155	!!----------------------------------------------------------------------
[9019]	156	INTEGER , INTENT(in ) :: kt ! ocean time step
	157	REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: p_sh2 ! shear production term
	158	REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: p_avm, p_avt ! momentum and tracer Kz (w-points)
[1492]	159	!!----------------------------------------------------------------------
[1481]	160	!
[9019]	161	CALL tke_tke( gdepw_n, e3t_n, e3w_n, p_sh2, p_avm, p_avt ) ! now tke (en)
[5656]	162	!
[9019]	163	CALL tke_avn( gdepw_n, e3t_n, e3w_n, p_avm, p_avt ) ! now avt, avm, dissl
[3632]	164	!
[5656]	165	END SUBROUTINE zdf_tke
[1239]	166
[1492]	167
[9019]	168	SUBROUTINE tke_tke( pdepw, p_e3t, p_e3w, p_sh2, p_avm, p_avt )
[1239]	169	!!----------------------------------------------------------------------
[1492]	170	!! * ROUTINE tke_tke *
	171	!!
	172	!! ** Purpose : Compute the now Turbulente Kinetic Energy (TKE)
	173	!!
	174	!! ** Method : - TKE surface boundary condition
[2528]	175	!! - source term due to Langmuir cells (Axell JGR 2002) (ln_lc=T)
[9019]	176	!! - source term due to shear (= Kz dz[Ub] * dz[Un] )
[1492]	177	!! - Now TKE : resolution of the TKE equation by inverting
	178	!! a tridiagonal linear system by a "methode de chasse"
	179	!! - increase TKE due to surface and internal wave breaking
[9019]	180	!! NB: when sea-ice is present, both LC parameterization
	181	!! and TKE penetration are turned off when the ice fraction
	182	!! is smaller than 0.25
[1492]	183	!!
	184	!! ** Action : - en : now turbulent kinetic energy)
[1239]	185	!! ---------------------------------------------------------------------
[9019]	186	USE zdf_oce , ONLY : en ! ocean vertical physics
	187	!!
	188	REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: pdepw ! depth of w-points
	189	REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: p_e3t, p_e3w ! level thickness (t- & w-points)
	190	REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: p_sh2 ! shear production term
	191	REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: p_avm, p_avt ! vertical eddy viscosity & diffusivity (w-points)
	192	!
	193	INTEGER :: ji, jj, jk ! dummy loop arguments
	194	REAL(wp) :: zetop, zebot, zmsku, zmskv ! local scalars
	195	REAL(wp) :: zrhoa = 1.22 ! Air density kg/m3
	196	REAL(wp) :: zcdrag = 1.5e-3 ! drag coefficient
	197	REAL(wp) :: zbbrau, zri ! local scalars
	198	REAL(wp) :: zfact1, zfact2, zfact3 ! - -
	199	REAL(wp) :: ztx2 , zty2 , zcof ! - -
	200	REAL(wp) :: ztau , zdif ! - -
	201	REAL(wp) :: zus , zwlc , zind ! - -
	202	REAL(wp) :: zzd_up, zzd_lw ! - -
	203	INTEGER , DIMENSION(jpi,jpj) :: imlc
[10425]	204	REAL(wp), DIMENSION(jpi,jpj) :: zhlc, zfr_i
[9019]	205	REAL(wp), DIMENSION(jpi,jpj,jpk) :: zpelc, zdiag, zd_up, zd_lw
[1239]	206	!!--------------------------------------------------------------------
[1492]	207	!
[1695]	208	zbbrau = rn_ebb / rau0 ! Local constant initialisation
[2528]	209	zfact1 = -.5_wp * rdt
	210	zfact2 = 1.5_wp * rdt * rn_ediss
	211	zfact3 = 0.5_wp * rn_ediss
[1492]	212	!
	213	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[9019]	214	! ! Surface/top/bottom boundary condition on tke
[1492]	215	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[9019]	216
	217	DO jj = 2, jpjm1 ! en(1) = rn_ebb taum / rau0 (min value rn_emin0)
	218	DO ji = fs_2, fs_jpim1 ! vector opt.
	219	en(ji,jj,1) = MAX( rn_emin0, zbbrau * taum(ji,jj) ) * tmask(ji,jj,1)
	220	END DO
	221	END DO
	222	!
[1492]	223	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	224	! ! Bottom boundary condition on tke
	225	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[1719]	226	!
[9019]	227	! en(bot) = (ebb0/rau0)0.5sqrt(u_botfr^2+v_botfr^2) (min value rn_emin)
	228	! where ebb0 does not includes surface wave enhancement (i.e. ebb0=3.75)
	229	! Note that stress averaged is done using an wet-only calculation of u and v at t-point like in zdfsh2
[1492]	230	!
[9019]	231	IF( ln_drg ) THEN !== friction used as top/bottom boundary condition on TKE
	232	!
	233	DO jj = 2, jpjm1 ! bottom friction
	234	DO ji = fs_2, fs_jpim1 ! vector opt.
	235	zmsku = ( 2. - umask(ji-1,jj,mbkt(ji,jj)) * umask(ji,jj,mbkt(ji,jj)) )
	236	zmskv = ( 2. - vmask(ji,jj-1,mbkt(ji,jj)) * vmask(ji,jj,mbkt(ji,jj)) )
	237	! ! where 0.001875 = (rn_ebb0/rau0) * 0.5 = 3.75*0.5/1000. (CAUTION CdU<0)
	238	zebot = - 0.001875_wp * rCdU_bot(ji,jj) * SQRT( ( zmsku( ub(ji,jj,mbkt(ji,jj))+ub(ji-1,jj,mbkt(ji,jj)) ) )*2 &
	239	& + ( zmskv( vb(ji,jj,mbkt(ji,jj))+vb(ji,jj-1,mbkt(ji,jj)) ) )*2 )
	240	en(ji,jj,mbkt(ji,jj)+1) = MAX( zebot, rn_emin ) * ssmask(ji,jj)
	241	END DO
	242	END DO
	243	IF( ln_isfcav ) THEN ! top friction
	244	DO jj = 2, jpjm1
	245	DO ji = fs_2, fs_jpim1 ! vector opt.
	246	zmsku = ( 2. - umask(ji-1,jj,mikt(ji,jj)) * umask(ji,jj,mikt(ji,jj)) )
	247	zmskv = ( 2. - vmask(ji,jj-1,mikt(ji,jj)) * vmask(ji,jj,mikt(ji,jj)) )
	248	! ! where 0.001875 = (rn_ebb0/rau0) * 0.5 = 3.75*0.5/1000. (CAUTION CdU<0)
	249	zetop = - 0.001875_wp * rCdU_top(ji,jj) * SQRT( ( zmsku( ub(ji,jj,mikt(ji,jj))+ub(ji-1,jj,mikt(ji,jj)) ) )*2 &
	250	& + ( zmskv( vb(ji,jj,mikt(ji,jj))+vb(ji,jj-1,mikt(ji,jj)) ) )*2 )
[12703]	251	en(ji,jj,mikt(ji,jj)) = en(ji,jj,1) * tmask(ji,jj,1) &
	252	& + MAX( zetop, rn_emin ) * (1._wp - tmask(ji,jj,1)) * ssmask(ji,jj)
[9019]	253	END DO
	254	END DO
	255	ENDIF
	256	!
	257	ENDIF
	258	!
[1492]	259	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[9019]	260	IF( ln_lc ) THEN ! Langmuir circulation source term added to tke ! (Axell JGR 2002)
[1492]	261	! !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
[1239]	262	!
[1492]	263	! !* total energy produce by LC : cumulative sum over jk
[9019]	264	zpelc(:,:,1) = MAX( rn2b(:,:,1), 0._wp ) * pdepw(:,:,1) * p_e3w(:,:,1)
[1239]	265	DO jk = 2, jpk
[9019]	266	zpelc(:,:,jk) = zpelc(:,:,jk-1) + MAX( rn2b(:,:,jk), 0._wp ) * pdepw(:,:,jk) * p_e3w(:,:,jk)
[1239]	267	END DO
[1492]	268	! !* finite Langmuir Circulation depth
[1705]	269	zcof = 0.5 * 0.016 * 0.016 / ( zrhoa * zcdrag )
[7753]	270	imlc(:,:) = mbkt(:,:) + 1 ! Initialization to the number of w ocean point (=2 over land)
[1239]	271	DO jk = jpkm1, 2, -1
[1492]	272	DO jj = 1, jpj ! Last w-level at which zpelc>=0.5usus
	273	DO ji = 1, jpi ! with us=0.016*wind(starting from jpk-1)
[1705]	274	zus = zcof * taum(ji,jj)
[1239]	275	IF( zpelc(ji,jj,jk) > zus ) imlc(ji,jj) = jk
	276	END DO
	277	END DO
	278	END DO
[1492]	279	! ! finite LC depth
	280	DO jj = 1, jpj
[1239]	281	DO ji = 1, jpi
[9019]	282	zhlc(ji,jj) = pdepw(ji,jj,imlc(ji,jj))
[1239]	283	END DO
	284	END DO
[1705]	285	zcof = 0.016 / SQRT( zrhoa * zcdrag )
[10425]	286	DO jj = 2, jpjm1
	287	DO ji = fs_2, fs_jpim1 ! vector opt.
	288	zus = zcof * SQRT( taum(ji,jj) ) ! Stokes drift
	289	zfr_i(ji,jj) = ( 1._wp - 4._wp * fr_i(ji,jj) ) * zus * zus * zus * tmask(ji,jj,1) ! zus > 0. ok
	290	IF (zfr_i(ji,jj) < 0. ) zfr_i(ji,jj) = 0.
	291	END DO
	292	END DO
[1492]	293	DO jk = 2, jpkm1 !* TKE Langmuir circulation source term added to en
[1239]	294	DO jj = 2, jpjm1
	295	DO ji = fs_2, fs_jpim1 ! vector opt.
[10425]	296	IF ( zfr_i(ji,jj) /= 0. ) THEN
	297	! vertical velocity due to LC
	298	IF ( pdepw(ji,jj,jk) - zhlc(ji,jj) < 0 .AND. wmask(ji,jj,jk) /= 0. ) THEN
	299	! ! vertical velocity due to LC
	300	zwlc = rn_lc * SIN( rpi * pdepw(ji,jj,jk) / zhlc(ji,jj) ) ! warning: optimization: zus^3 is in zfr_i
	301	! ! TKE Langmuir circulation source term
	302	en(ji,jj,jk) = en(ji,jj,jk) + rdt * zfr_i(ji,jj) * ( zwlc * zwlc * zwlc ) / zhlc(ji,jj)
	303	ENDIF
	304	ENDIF
[1239]	305	END DO
	306	END DO
	307	END DO
	308	!
	309	ENDIF
[1492]	310	!
	311	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	312	! ! Now Turbulent kinetic energy (output in en)
	313	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	314	! ! Resolution of a tridiagonal linear system by a "methode de chasse"
	315	! ! computation from level 2 to jpkm1 (e(1) already computed and e(jpk)=0 ).
	316	! ! zdiag : diagonal zd_up : upper diagonal zd_lw : lower diagonal
	317	!
[9019]	318	IF( nn_pdl == 1 ) THEN !* Prandtl number = F( Ri )
[5656]	319	DO jk = 2, jpkm1
	320	DO jj = 2, jpjm1
[9019]	321	DO ji = 2, jpim1
	322	! ! local Richardson number
	323	zri = MAX( rn2b(ji,jj,jk), 0._wp ) * p_avm(ji,jj,jk) / ( p_sh2(ji,jj,jk) + rn_bshear )
	324	! ! inverse of Prandtl number
[5656]	325	apdlr(ji,jj,jk) = MAX( 0.1_wp, ri_cri / MAX( ri_cri , zri ) )
	326	END DO
	327	END DO
	328	END DO
	329	ENDIF
[5836]	330	!
[5120]	331	DO jk = 2, jpkm1 !* Matrix and right hand side in en
	332	DO jj = 2, jpjm1
	333	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	334	zcof = zfact1 * tmask(ji,jj,jk)
[9019]	335	! ! A minimum of 2.e-5 m2/s is imposed on TKE vertical
	336	! ! eddy coefficient (ensure numerical stability)
	337	zzd_up = zcof * MAX( p_avm(ji,jj,jk+1) + p_avm(ji,jj,jk ) , 2.e-5_wp ) & ! upper diagonal
	338	& / ( p_e3t(ji,jj,jk ) * p_e3w(ji,jj,jk ) )
	339	zzd_lw = zcof * MAX( p_avm(ji,jj,jk ) + p_avm(ji,jj,jk-1) , 2.e-5_wp ) & ! lower diagonal
	340	& / ( p_e3t(ji,jj,jk-1) * p_e3w(ji,jj,jk ) )
[5656]	341	!
[1492]	342	zd_up(ji,jj,jk) = zzd_up ! Matrix (zdiag, zd_up, zd_lw)
	343	zd_lw(ji,jj,jk) = zzd_lw
[9019]	344	zdiag(ji,jj,jk) = 1._wp - zzd_lw - zzd_up + zfact2 * dissl(ji,jj,jk) * wmask(ji,jj,jk)
[1239]	345	!
[1492]	346	! ! right hand side in en
[9019]	347	en(ji,jj,jk) = en(ji,jj,jk) + rdt * ( p_sh2(ji,jj,jk) & ! shear
	348	& - p_avt(ji,jj,jk) * rn2(ji,jj,jk) & ! stratification
	349	& + zfact3 * dissl(ji,jj,jk) * en(ji,jj,jk) & ! dissipation
	350	& ) * wmask(ji,jj,jk)
[1239]	351	END DO
[5120]	352	END DO
	353	END DO
	354	! !* Matrix inversion from level 2 (tke prescribed at level 1)
	355	DO jk = 3, jpkm1 ! First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1
	356	DO jj = 2, jpjm1
	357	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	358	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]	359	END DO
[5120]	360	END DO
	361	END DO
[5836]	362	DO jj = 2, jpjm1 ! Second recurrence : Lk = RHSk - Lk / Dk-1 * Lk-1
[5120]	363	DO ji = fs_2, fs_jpim1 ! vector opt.
	364	zd_lw(ji,jj,2) = en(ji,jj,2) - zd_lw(ji,jj,2) * en(ji,jj,1) ! Surface boudary conditions on tke
	365	END DO
	366	END DO
	367	DO jk = 3, jpkm1
	368	DO jj = 2, jpjm1
	369	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	370	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]	371	END DO
[5120]	372	END DO
	373	END DO
[5836]	374	DO jj = 2, jpjm1 ! thrid recurrence : Ek = ( Lk - Uk * Ek+1 ) / Dk
[5120]	375	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	376	en(ji,jj,jpkm1) = zd_lw(ji,jj,jpkm1) / zdiag(ji,jj,jpkm1)
[5120]	377	END DO
	378	END DO
	379	DO jk = jpk-2, 2, -1
	380	DO jj = 2, jpjm1
	381	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	382	en(ji,jj,jk) = ( zd_lw(ji,jj,jk) - zd_up(ji,jj,jk) * en(ji,jj,jk+1) ) / zdiag(ji,jj,jk)
[1239]	383	END DO
[5120]	384	END DO
	385	END DO
	386	DO jk = 2, jpkm1 ! set the minimum value of tke
	387	DO jj = 2, jpjm1
	388	DO ji = fs_2, fs_jpim1 ! vector opt.
	389	en(ji,jj,jk) = MAX( en(ji,jj,jk), rn_emin ) * wmask(ji,jj,jk)
[1239]	390	END DO
	391	END DO
	392	END DO
[9019]	393	!
[1492]	394	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	395	! ! TKE due to surface and internal wave breaking
	396	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[6140]	397	!!gm BUG : in the exp remove the depth of ssh !!!
[9019]	398	!!gm i.e. use gde3w in argument (pdepw)
[6140]	399
	400
[2528]	401	IF( nn_etau == 1 ) THEN !* penetration below the mixed layer (rn_efr fraction)
[9546]	402	DO jk = 2, jpkm1 ! rn_eice =0 ON below sea-ice, =4 OFF when ice fraction > 0.25
[1239]	403	DO jj = 2, jpjm1
	404	DO ji = fs_2, fs_jpim1 ! vector opt.
[9019]	405	en(ji,jj,jk) = en(ji,jj,jk) + rn_efr * en(ji,jj,1) * EXP( -pdepw(ji,jj,jk) / htau(ji,jj) ) &
[9546]	406	& * MAX(0.,1._wp - rn_eice fr_i(ji,jj) ) wmask(ji,jj,jk) * tmask(ji,jj,1)
[1239]	407	END DO
	408	END DO
[1492]	409	END DO
[2528]	410	ELSEIF( nn_etau == 2 ) THEN !* act only at the base of the mixed layer (jk=nmln) (rn_efr fraction)
[1492]	411	DO jj = 2, jpjm1
	412	DO ji = fs_2, fs_jpim1 ! vector opt.
	413	jk = nmln(ji,jj)
[9019]	414	en(ji,jj,jk) = en(ji,jj,jk) + rn_efr * en(ji,jj,1) * EXP( -pdepw(ji,jj,jk) / htau(ji,jj) ) &
[9546]	415	& * MAX(0.,1._wp - rn_eice fr_i(ji,jj) ) wmask(ji,jj,jk) * tmask(ji,jj,1)
[1239]	416	END DO
[1492]	417	END DO
[2528]	418	ELSEIF( nn_etau == 3 ) THEN !* penetration belox the mixed layer (HF variability)
[1705]	419	DO jk = 2, jpkm1
	420	DO jj = 2, jpjm1
	421	DO ji = fs_2, fs_jpim1 ! vector opt.
	422	ztx2 = utau(ji-1,jj ) + utau(ji,jj)
	423	zty2 = vtau(ji ,jj-1) + vtau(ji,jj)
[4990]	424	ztau = 0.5_wp * SQRT( ztx2 * ztx2 + zty2 * zty2 ) * tmask(ji,jj,1) ! module of the mean stress
[2528]	425	zdif = taum(ji,jj) - ztau ! mean of modulus - modulus of the mean
	426	zdif = rhftau_scl * MAX( 0._wp, zdif + rhftau_add ) ! apply some modifications...
[9019]	427	en(ji,jj,jk) = en(ji,jj,jk) + zbbrau * zdif * EXP( -pdepw(ji,jj,jk) / htau(ji,jj) ) &
[9546]	428	& * MAX(0.,1._wp - rn_eice fr_i(ji,jj) ) wmask(ji,jj,jk) * tmask(ji,jj,1)
[1705]	429	END DO
	430	END DO
	431	END DO
[1239]	432	ENDIF
[1492]	433	!
[1239]	434	END SUBROUTINE tke_tke
	435
[1492]	436
[9019]	437	SUBROUTINE tke_avn( pdepw, p_e3t, p_e3w, p_avm, p_avt )
[1239]	438	!!----------------------------------------------------------------------
[1492]	439	!! * ROUTINE tke_avn *
[1239]	440	!!
[1492]	441	!! ** Purpose : Compute the vertical eddy viscosity and diffusivity
	442	!!
	443	!! ** Method : At this stage, en, the now TKE, is known (computed in
	444	!! the tke_tke routine). First, the now mixing lenth is
	445	!! computed from en and the strafification (N^2), then the mixings
	446	!! coefficients are computed.
	447	!! - Mixing length : a first evaluation of the mixing lengh
	448	!! scales is:
	449	!! mxl = sqrt(2*en) / N
	450	!! where N is the brunt-vaisala frequency, with a minimum value set
[2528]	451	!! to rmxl_min (rn_mxl0) in the interior (surface) ocean.
[1492]	452	!! The mixing and dissipative length scale are bound as follow :
	453	!! nn_mxl=0 : mxl bounded by the distance to surface and bottom.
	454	!! zmxld = zmxlm = mxl
	455	!! nn_mxl=1 : mxl bounded by the e3w and zmxld = zmxlm = mxl
	456	!! nn_mxl=2 : mxl bounded such that the vertical derivative of mxl is
	457	!! less than 1 (\|d/dz(mxl)\|<1) and zmxld = zmxlm = mxl
	458	!! nn_mxl=3 : mxl is bounded from the surface to the bottom usings
	459	!! \|d/dz(xml)\|<1 to obtain lup, and from the bottom to
	460	!! the surface to obtain ldown. the resulting length
	461	!! scales are:
	462	!! zmxld = sqrt( lup * ldown )
	463	!! zmxlm = min ( lup , ldown )
	464	!! - Vertical eddy viscosity and diffusivity:
	465	!! avm = max( avtb, rn_ediff * zmxlm * en^1/2 )
	466	!! avt = max( avmb, pdlr * avm )
	467	!! with pdlr=1 if nn_pdl=0, pdlr=1/pdl=F(Ri) otherwise.
	468	!!
[9019]	469	!! ** Action : - avt, avm : now vertical eddy diffusivity and viscosity (w-point)
[1239]	470	!!----------------------------------------------------------------------
[9019]	471	USE zdf_oce , ONLY : en, avtb, avmb, avtb_2d ! ocean vertical physics
	472	!!
	473	REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: pdepw ! depth (w-points)
	474	REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: p_e3t, p_e3w ! level thickness (t- & w-points)
	475	REAL(wp), DIMENSION(:,:,:), INTENT( out) :: p_avm, p_avt ! vertical eddy viscosity & diffusivity (w-points)
	476	!
[2715]	477	INTEGER :: ji, jj, jk ! dummy loop indices
[9019]	478	REAL(wp) :: zrn2, zraug, zcoef, zav ! local scalars
	479	REAL(wp) :: zdku, zdkv, zsqen ! - -
	480	REAL(wp) :: zemxl, zemlm, zemlp ! - -
	481	REAL(wp), DIMENSION(jpi,jpj,jpk) :: zmxlm, zmxld ! 3D workspace
[1239]	482	!!--------------------------------------------------------------------
[3294]	483	!
[1492]	484	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	485	! ! Mixing length
	486	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	487	!
	488	! !* Buoyancy length scale: l=sqrt(2e/n*2)
	489	!
[5120]	490	! initialisation of interior minimum value (avoid a 2d loop with mikt)
[7753]	491	zmxlm(:,:,:) = rmxl_min
	492	zmxld(:,:,:) = rmxl_min
[5120]	493	!
[2528]	494	IF( ln_mxl0 ) THEN ! surface mixing length = F(stress) : l=vkarmn2.e5taum/(rau0*g)
[9019]	495	zraug = vkarmn * 2.e5_wp / ( rau0 * grav )
[4990]	496	DO jj = 2, jpjm1
	497	DO ji = fs_2, fs_jpim1
[5120]	498	zmxlm(ji,jj,1) = MAX( rn_mxl0, zraug * taum(ji,jj) * tmask(ji,jj,1) )
[4990]	499	END DO
	500	END DO
	501	ELSE
[7753]	502	zmxlm(:,:,1) = rn_mxl0
[1239]	503	ENDIF
	504	!
[5120]	505	DO jk = 2, jpkm1 ! interior value : l=sqrt(2*e/n^2)
	506	DO jj = 2, jpjm1
	507	DO ji = fs_2, fs_jpim1 ! vector opt.
[1239]	508	zrn2 = MAX( rn2(ji,jj,jk), rsmall )
[5836]	509	zmxlm(ji,jj,jk) = MAX( rmxl_min, SQRT( 2._wp * en(ji,jj,jk) / zrn2 ) )
[1239]	510	END DO
	511	END DO
	512	END DO
[1492]	513	!
	514	! !* Physical limits for the mixing length
	515	!
[7753]	516	zmxld(:,:, 1 ) = zmxlm(:,:,1) ! surface set to the minimum value
	517	zmxld(:,:,jpk) = rmxl_min ! last level set to the minimum value
[1492]	518	!
[1239]	519	SELECT CASE ( nn_mxl )
	520	!
[5836]	521	!!gm Not sure of that coding for ISF....
[9019]	522	! where wmask = 0 set zmxlm == p_e3w
[1239]	523	CASE ( 0 ) ! bounded by the distance to surface and bottom
[5120]	524	DO jk = 2, jpkm1
	525	DO jj = 2, jpjm1
	526	DO ji = fs_2, fs_jpim1 ! vector opt.
[9019]	527	zemxl = MIN( pdepw(ji,jj,jk) - pdepw(ji,jj,mikt(ji,jj)), zmxlm(ji,jj,jk), &
	528	& pdepw(ji,jj,mbkt(ji,jj)+1) - pdepw(ji,jj,jk) )
[5120]	529	! wmask prevent zmxlm = 0 if jk = mikt(ji,jj)
[9019]	530	zmxlm(ji,jj,jk) = zemxl * wmask(ji,jj,jk) + MIN( zmxlm(ji,jj,jk) , p_e3w(ji,jj,jk) ) * (1 - wmask(ji,jj,jk))
	531	zmxld(ji,jj,jk) = zemxl * wmask(ji,jj,jk) + MIN( zmxlm(ji,jj,jk) , p_e3w(ji,jj,jk) ) * (1 - wmask(ji,jj,jk))
[1239]	532	END DO
	533	END DO
	534	END DO
	535	!
	536	CASE ( 1 ) ! bounded by the vertical scale factor
[5120]	537	DO jk = 2, jpkm1
	538	DO jj = 2, jpjm1
	539	DO ji = fs_2, fs_jpim1 ! vector opt.
[9019]	540	zemxl = MIN( p_e3w(ji,jj,jk), zmxlm(ji,jj,jk) )
[1239]	541	zmxlm(ji,jj,jk) = zemxl
	542	zmxld(ji,jj,jk) = zemxl
	543	END DO
	544	END DO
	545	END DO
	546	!
	547	CASE ( 2 ) ! \|dk[xml]\| bounded by e3t :
[5120]	548	DO jk = 2, jpkm1 ! from the surface to the bottom :
	549	DO jj = 2, jpjm1
	550	DO ji = fs_2, fs_jpim1 ! vector opt.
[9019]	551	zmxlm(ji,jj,jk) = MIN( zmxlm(ji,jj,jk-1) + p_e3t(ji,jj,jk-1), zmxlm(ji,jj,jk) )
[1239]	552	END DO
[5120]	553	END DO
	554	END DO
	555	DO jk = jpkm1, 2, -1 ! from the bottom to the surface :
	556	DO jj = 2, jpjm1
	557	DO ji = fs_2, fs_jpim1 ! vector opt.
[9019]	558	zemxl = MIN( zmxlm(ji,jj,jk+1) + p_e3t(ji,jj,jk+1), zmxlm(ji,jj,jk) )
[1239]	559	zmxlm(ji,jj,jk) = zemxl
	560	zmxld(ji,jj,jk) = zemxl
	561	END DO
	562	END DO
	563	END DO
	564	!
	565	CASE ( 3 ) ! lup and ldown, \|dk[xml]\| bounded by e3t :
[5120]	566	DO jk = 2, jpkm1 ! from the surface to the bottom : lup
	567	DO jj = 2, jpjm1
	568	DO ji = fs_2, fs_jpim1 ! vector opt.
[9019]	569	zmxld(ji,jj,jk) = MIN( zmxld(ji,jj,jk-1) + p_e3t(ji,jj,jk-1), zmxlm(ji,jj,jk) )
[1239]	570	END DO
[5120]	571	END DO
	572	END DO
	573	DO jk = jpkm1, 2, -1 ! from the bottom to the surface : ldown
	574	DO jj = 2, jpjm1
	575	DO ji = fs_2, fs_jpim1 ! vector opt.
[9019]	576	zmxlm(ji,jj,jk) = MIN( zmxlm(ji,jj,jk+1) + p_e3t(ji,jj,jk+1), zmxlm(ji,jj,jk) )
[1239]	577	END DO
	578	END DO
	579	END DO
	580	DO jk = 2, jpkm1
	581	DO jj = 2, jpjm1
	582	DO ji = fs_2, fs_jpim1 ! vector opt.
	583	zemlm = MIN ( zmxld(ji,jj,jk), zmxlm(ji,jj,jk) )
	584	zemlp = SQRT( zmxld(ji,jj,jk) * zmxlm(ji,jj,jk) )
	585	zmxlm(ji,jj,jk) = zemlm
	586	zmxld(ji,jj,jk) = zemlp
	587	END DO
	588	END DO
	589	END DO
	590	!
	591	END SELECT
[1492]	592	!
	593	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[9019]	594	! ! Vertical eddy viscosity and diffusivity (avm and avt)
[1492]	595	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	596	DO jk = 1, jpkm1 !* vertical eddy viscosity & diffivity at w-points
[1239]	597	DO jj = 2, jpjm1
	598	DO ji = fs_2, fs_jpim1 ! vector opt.
	599	zsqen = SQRT( en(ji,jj,jk) )
	600	zav = rn_ediff * zmxlm(ji,jj,jk) * zsqen
[9019]	601	p_avm(ji,jj,jk) = MAX( zav, avmb(jk) ) * wmask(ji,jj,jk)
	602	p_avt(ji,jj,jk) = MAX( zav, avtb_2d(ji,jj) * avtb(jk) ) * wmask(ji,jj,jk)
[1239]	603	dissl(ji,jj,jk) = zsqen / zmxld(ji,jj,jk)
	604	END DO
	605	END DO
	606	END DO
[1492]	607	!
	608	!
	609	IF( nn_pdl == 1 ) THEN !* Prandtl number case: update avt
[5120]	610	DO jk = 2, jpkm1
	611	DO jj = 2, jpjm1
	612	DO ji = fs_2, fs_jpim1 ! vector opt.
[12697]	613	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]	614	END DO
	615	END DO
	616	END DO
	617	ENDIF
[9019]	618	!
[1239]	619	IF(ln_ctl) THEN
[9440]	620	CALL prt_ctl( tab3d_1=en , clinfo1=' tke - e: ', tab3d_2=p_avt, clinfo2=' t: ', kdim=jpk)
	621	CALL prt_ctl( tab3d_1=p_avm, clinfo1=' tke - m: ', kdim=jpk )
[1239]	622	ENDIF
	623	!
[1492]	624	END SUBROUTINE tke_avn
[1239]	625
[1492]	626
[2528]	627	SUBROUTINE zdf_tke_init
[1239]	628	!!----------------------------------------------------------------------
[2528]	629	!! * ROUTINE zdf_tke_init *
[1239]	630	!!
	631	!! ** Purpose : Initialization of the vertical eddy diffivity and
[1492]	632	!! viscosity when using a tke turbulent closure scheme
[1239]	633	!!
[1601]	634	!! ** Method : Read the namzdf_tke namelist and check the parameters
[1492]	635	!! called at the first timestep (nit000)
[1239]	636	!!
[1601]	637	!! ** input : Namlist namzdf_tke
[1239]	638	!!
	639	!! ** Action : Increase by 1 the nstop flag is setting problem encounter
	640	!!----------------------------------------------------------------------
[9019]	641	USE zdf_oce , ONLY : ln_zdfiwm ! Internal Wave Mixing flag
	642	!!
[1239]	643	INTEGER :: ji, jj, jk ! dummy loop indices
[4147]	644	INTEGER :: ios
[1239]	645	!!
[9019]	646	NAMELIST/namzdf_tke/ rn_ediff, rn_ediss , rn_ebb , rn_emin , &
	647	& rn_emin0, rn_bshear, nn_mxl , ln_mxl0 , &
	648	& rn_mxl0 , nn_pdl , ln_drg , ln_lc , rn_lc, &
[9558]	649	& nn_etau , nn_htau , rn_efr , rn_eice
[1239]	650	!!----------------------------------------------------------------------
[2715]	651	!
[4147]	652	REWIND( numnam_ref ) ! Namelist namzdf_tke in reference namelist : Turbulent Kinetic Energy
	653	READ ( numnam_ref, namzdf_tke, IOSTAT = ios, ERR = 901)
[11536]	654	901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_tke in reference namelist' )
[4147]	655
	656	REWIND( numnam_cfg ) ! Namelist namzdf_tke in configuration namelist : Turbulent Kinetic Energy
	657	READ ( numnam_cfg, namzdf_tke, IOSTAT = ios, ERR = 902 )
[11536]	658	902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namzdf_tke in configuration namelist' )
[4624]	659	IF(lwm) WRITE ( numond, namzdf_tke )
[2715]	660	!
[2528]	661	ri_cri = 2._wp / ( 2._wp + rn_ediss / rn_ediff ) ! resulting critical Richardson number
[2715]	662	!
[1492]	663	IF(lwp) THEN !* Control print
[1239]	664	WRITE(numout,*)
[2528]	665	WRITE(numout,*) 'zdf_tke_init : tke turbulent closure scheme - initialisation'
	666	WRITE(numout,*) '~~~~~~~~~~~~'
[1601]	667	WRITE(numout,*) ' Namelist namzdf_tke : set tke mixing parameters'
[1705]	668	WRITE(numout,*) ' coef. to compute avt rn_ediff = ', rn_ediff
	669	WRITE(numout,*) ' Kolmogoroff dissipation coef. rn_ediss = ', rn_ediss
	670	WRITE(numout,*) ' tke surface input coef. rn_ebb = ', rn_ebb
	671	WRITE(numout,*) ' minimum value of tke rn_emin = ', rn_emin
	672	WRITE(numout,*) ' surface minimum value of tke rn_emin0 = ', rn_emin0
[9019]	673	WRITE(numout,*) ' prandl number flag nn_pdl = ', nn_pdl
[1705]	674	WRITE(numout,*) ' background shear (>0) rn_bshear = ', rn_bshear
	675	WRITE(numout,*) ' mixing length type nn_mxl = ', nn_mxl
[9019]	676	WRITE(numout,*) ' surface mixing length = F(stress) or not ln_mxl0 = ', ln_mxl0
	677	WRITE(numout,*) ' surface mixing length minimum value rn_mxl0 = ', rn_mxl0
	678	WRITE(numout,*) ' top/bottom friction forcing flag ln_drg = ', ln_drg
	679	WRITE(numout,*) ' Langmuir cells parametrization ln_lc = ', ln_lc
	680	WRITE(numout,*) ' coef to compute vertical velocity of LC rn_lc = ', rn_lc
[1705]	681	WRITE(numout,*) ' test param. to add tke induced by wind nn_etau = ', nn_etau
[9019]	682	WRITE(numout,*) ' type of tke penetration profile nn_htau = ', nn_htau
	683	WRITE(numout,*) ' fraction of TKE that penetrates rn_efr = ', rn_efr
[9546]	684	WRITE(numout,*) ' below sea-ice: =0 ON rn_eice = ', rn_eice
	685	WRITE(numout,*) ' =4 OFF when ice fraction > 1/4 '
[9019]	686	IF( ln_drg ) THEN
[9169]	687	WRITE(numout,*)
[9019]	688	WRITE(numout,*) ' Namelist namdrg_top/_bot: used values:'
	689	WRITE(numout,*) ' top ocean cavity roughness (m) rn_z0(_top)= ', r_z0_top
	690	WRITE(numout,*) ' Bottom seafloor roughness (m) rn_z0(_bot)= ', r_z0_bot
	691	ENDIF
	692	WRITE(numout,*)
[9190]	693	WRITE(numout,*) ' ==>>> critical Richardson nb with your parameters ri_cri = ', ri_cri
[9019]	694	WRITE(numout,*)
[1239]	695	ENDIF
[2715]	696	!
[9019]	697	IF( ln_zdfiwm ) THEN ! Internal wave-driven mixing
	698	rn_emin = 1.e-10_wp ! specific values of rn_emin & rmxl_min are used
	699	rmxl_min = 1.e-03_wp ! associated avt minimum = molecular salt diffusivity (10^-9 m2/s)
[9190]	700	IF(lwp) WRITE(numout,*) ' ==>>> Internal wave-driven mixing case: force rn_emin = 1.e-10 and rmxl_min = 1.e-3'
[9019]	701	ELSE ! standard case : associated avt minimum = molecular viscosity (10^-6 m2/s)
	702	rmxl_min = 1.e-6_wp / ( rn_ediff * SQRT( rn_emin ) ) ! resulting minimum length to recover molecular viscosity
[9190]	703	IF(lwp) WRITE(numout,*) ' ==>>> minimum mixing length with your parameters rmxl_min = ', rmxl_min
[9019]	704	ENDIF
	705	!
[2715]	706	! ! allocate tke arrays
	707	IF( zdf_tke_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_tke_init : unable to allocate arrays' )
	708	!
[1492]	709	! !* Check of some namelist values
[4990]	710	IF( nn_mxl < 0 .OR. nn_mxl > 3 ) CALL ctl_stop( 'bad flag: nn_mxl is 0, 1 or 2 ' )
	711	IF( nn_pdl < 0 .OR. nn_pdl > 1 ) CALL ctl_stop( 'bad flag: nn_pdl is 0 or 1 ' )
	712	IF( nn_htau < 0 .OR. nn_htau > 1 ) CALL ctl_stop( 'bad flag: nn_htau is 0, 1 or 2 ' )
[5407]	713	IF( nn_etau == 3 .AND. .NOT. ln_cpl ) CALL ctl_stop( 'nn_etau == 3 : HF taum only known in coupled mode' )
[9019]	714	!
[2528]	715	IF( ln_mxl0 ) THEN
[9169]	716	IF(lwp) WRITE(numout,*)
[9190]	717	IF(lwp) WRITE(numout,*) ' ==>>> use a surface mixing length = F(stress) : set rn_mxl0 = rmxl_min'
[2528]	718	rn_mxl0 = rmxl_min
	719	ENDIF
	720
[1492]	721	IF( nn_etau == 2 ) CALL zdf_mxl( nit000 ) ! Initialization of nmln
[1239]	722
[1492]	723	! !* depth of penetration of surface tke
	724	IF( nn_etau /= 0 ) THEN
[1601]	725	SELECT CASE( nn_htau ) ! Choice of the depth of penetration
[2528]	726	CASE( 0 ) ! constant depth penetration (here 10 meters)
[7753]	727	htau(:,:) = 10._wp
[2528]	728	CASE( 1 ) ! F(latitude) : 0.5m to 30m poleward of 40 degrees
[7753]	729	htau(:,:) = MAX( 0.5_wp, MIN( 30._wp, 45._wp* ABS( SIN( rpi/180._wp * gphit(:,:) ) ) ) )
[1492]	730	END SELECT
	731	ENDIF
[9019]	732	! !* read or initialize all required files
	733	CALL tke_rst( nit000, 'READ' ) ! (en, avt_k, avm_k, dissl)
[1239]	734	!
[9367]	735	IF( lwxios ) THEN
	736	CALL iom_set_rstw_var_active('en')
	737	CALL iom_set_rstw_var_active('avt_k')
	738	CALL iom_set_rstw_var_active('avm_k')
	739	CALL iom_set_rstw_var_active('dissl')
	740	ENDIF
[2528]	741	END SUBROUTINE zdf_tke_init
[1239]	742
	743
[1531]	744	SUBROUTINE tke_rst( kt, cdrw )
[9019]	745	!!---------------------------------------------------------------------
	746	!! * ROUTINE tke_rst *
	747	!!
	748	!! ** Purpose : Read or write TKE file (en) in restart file
	749	!!
	750	!! ** Method : use of IOM library
	751	!! if the restart does not contain TKE, en is either
	752	!! set to rn_emin or recomputed
	753	!!----------------------------------------------------------------------
	754	USE zdf_oce , ONLY : en, avt_k, avm_k ! ocean vertical physics
	755	!!
	756	INTEGER , INTENT(in) :: kt ! ocean time-step
	757	CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag
	758	!
	759	INTEGER :: jit, jk ! dummy loop indices
	760	INTEGER :: id1, id2, id3, id4 ! local integers
	761	!!----------------------------------------------------------------------
	762	!
	763	IF( TRIM(cdrw) == 'READ' ) THEN ! Read/initialise
	764	! ! ---------------
	765	IF( ln_rstart ) THEN !* Read the restart file
	766	id1 = iom_varid( numror, 'en' , ldstop = .FALSE. )
	767	id2 = iom_varid( numror, 'avt_k', ldstop = .FALSE. )
	768	id3 = iom_varid( numror, 'avm_k', ldstop = .FALSE. )
	769	id4 = iom_varid( numror, 'dissl', ldstop = .FALSE. )
	770	!
	771	IF( MIN( id1, id2, id3, id4 ) > 0 ) THEN ! fields exist
[9367]	772	CALL iom_get( numror, jpdom_autoglo, 'en' , en , ldxios = lrxios )
	773	CALL iom_get( numror, jpdom_autoglo, 'avt_k', avt_k, ldxios = lrxios )
	774	CALL iom_get( numror, jpdom_autoglo, 'avm_k', avm_k, ldxios = lrxios )
	775	CALL iom_get( numror, jpdom_autoglo, 'dissl', dissl, ldxios = lrxios )
[9019]	776	ELSE ! start TKE from rest
[9169]	777	IF(lwp) WRITE(numout,*)
[9190]	778	IF(lwp) WRITE(numout,*) ' ==>>> previous run without TKE scheme, set en to background values'
[9019]	779	en (:,:,:) = rn_emin * wmask(:,:,:)
	780	dissl(:,:,:) = 1.e-12_wp
	781	! avt_k, avm_k already set to the background value in zdf_phy_init
	782	ENDIF
	783	ELSE !* Start from rest
[9169]	784	IF(lwp) WRITE(numout,*)
[9190]	785	IF(lwp) WRITE(numout,*) ' ==>>> start from rest: set en to the background value'
[9019]	786	en (:,:,:) = rn_emin * wmask(:,:,:)
	787	dissl(:,:,:) = 1.e-12_wp
	788	! avt_k, avm_k already set to the background value in zdf_phy_init
	789	ENDIF
	790	!
	791	ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN ! Create restart file
	792	! ! -------------------
[9169]	793	IF(lwp) WRITE(numout,*) '---- tke_rst ----'
[9367]	794	IF( lwxios ) CALL iom_swap( cwxios_context )
	795	CALL iom_rstput( kt, nitrst, numrow, 'en' , en , ldxios = lwxios )
	796	CALL iom_rstput( kt, nitrst, numrow, 'avt_k', avt_k, ldxios = lwxios )
	797	CALL iom_rstput( kt, nitrst, numrow, 'avm_k', avm_k, ldxios = lwxios )
	798	CALL iom_rstput( kt, nitrst, numrow, 'dissl', dissl, ldxios = lwxios )
	799	IF( lwxios ) CALL iom_swap( cxios_context )
[9019]	800	!
	801	ENDIF
	802	!
[1531]	803	END SUBROUTINE tke_rst
[1239]	804
	805	!!======================================================================
[1531]	806	END MODULE zdftke

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