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zdftke.F90 in branches/2012/dev_MERGE_2012/NEMOGCM/NEMO/OPA_SRC/ZDF – NEMO

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source: branches/2012/dev_MERGE_2012/NEMOGCM/NEMO/OPA_SRC/ZDF/zdftke.F90 @ 3680

Last change on this file since 3680 was 3680, checked in by rblod, 11 years ago
First commit of the final branch for 2012 (future nemo_3_5), see ticket #1028
Property svn:keywords set to `Id`
File size: 45.0 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
[1239]	28	!!----------------------------------------------------------------------
[1531]	29	#if defined key_zdftke \|\| defined key_esopa
[1239]	30	!!----------------------------------------------------------------------
[1531]	31	!! 'key_zdftke' TKE vertical physics
[1239]	32	!!----------------------------------------------------------------------
[3625]	33	!! zdf_tke : update momentum and tracer Kz from a tke scheme
	34	!! tke_tke : tke time stepping: update tke at now time step (en)
	35	!! tke_avn : compute mixing length scale and deduce avm and avt
	36	!! zdf_tke_init : initialization, namelist read, and parameters control
	37	!! tke_rst : read/write tke restart in ocean restart file
[1239]	38	!!----------------------------------------------------------------------
[2528]	39	USE oce ! ocean: dynamics and active tracers variables
	40	USE phycst ! physical constants
	41	USE dom_oce ! domain: ocean
	42	USE domvvl ! domain: variable volume layer
[1492]	43	USE sbc_oce ! surface boundary condition: ocean
[2528]	44	USE zdf_oce ! vertical physics: ocean variables
	45	USE zdfmxl ! vertical physics: mixed layer
[1492]	46	USE lbclnk ! ocean lateral boundary conditions (or mpp link)
	47	USE prtctl ! Print control
	48	USE in_out_manager ! I/O manager
	49	USE iom ! I/O manager library
[2715]	50	USE lib_mpp ! MPP library
[3294]	51	USE wrk_nemo ! work arrays
	52	USE timing ! Timing
[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
[2715]	62	LOGICAL , PUBLIC, PARAMETER :: lk_zdftke = .TRUE. !: TKE vertical mixing flag
[1239]	63
[2528]	64	! !! Namelist namzdf_tke
	65	LOGICAL :: ln_mxl0 = .FALSE. ! mixing length scale surface value as function of wind stress or not
	66	INTEGER :: nn_mxl = 2 ! type of mixing length (=0/1/2/3)
	67	REAL(wp) :: rn_mxl0 = 0.04_wp ! surface min value of mixing length (kappaz_o=0.40.1 m) [m]
	68	INTEGER :: nn_pdl = 1 ! Prandtl number or not (ratio avt/avm) (=0/1)
	69	REAL(wp) :: rn_ediff = 0.1_wp ! coefficient for avt: avt=rn_ediffmxlsqrt(e)
	70	REAL(wp) :: rn_ediss = 0.7_wp ! coefficient of the Kolmogoroff dissipation
	71	REAL(wp) :: rn_ebb = 3.75_wp ! coefficient of the surface input of tke
	72	REAL(wp) :: rn_emin = 0.7071e-6_wp ! minimum value of tke [m2/s2]
	73	REAL(wp) :: rn_emin0 = 1.e-4_wp ! surface minimum value of tke [m2/s2]
	74	REAL(wp) :: rn_bshear = 1.e-20_wp ! background shear (>0) currently a numerical threshold (do not change it)
	75	INTEGER :: nn_etau = 0 ! type of depth penetration of surface tke (=0/1/2/3)
	76	INTEGER :: nn_htau = 0 ! type of tke profile of penetration (=0/1)
	77	REAL(wp) :: rn_efr = 1.0_wp ! fraction of TKE surface value which penetrates in the ocean
	78	LOGICAL :: ln_lc = .FALSE. ! Langmuir cells (LC) as a source term of TKE or not
	79	REAL(wp) :: rn_lc = 0.15_wp ! coef to compute vertical velocity of Langmuir cells
[1239]	80
[2528]	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]
	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
[2715]	86	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: en !: now turbulent kinetic energy [m2/s2]
	87	REAL(wp) , ALLOCATABLE, SAVE, DIMENSION(:,:) :: htau ! depth of tke penetration (nn_htau)
	88	REAL(wp) , ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: dissl ! now mixing lenght of dissipation
[3632]	89	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: avt_k , avm_k ! not enhanced Kz
	90	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: avmu_k, avmv_k ! not enhanced Kz
[2715]	91	#if defined key_c1d
	92	! !! 1D cfg only ('key_c1d')
	93	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: e_dis, e_mix !: dissipation and mixing turbulent lengh scales
	94	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: e_pdl, e_ric !: prandl and local Richardson numbers
	95	#endif
[1492]	96
[1239]	97	!! * Substitutions
	98	# include "domzgr_substitute.h90"
	99	# include "vectopt_loop_substitute.h90"
	100	!!----------------------------------------------------------------------
[2715]	101	!! NEMO/OPA 4.0 , NEMO Consortium (2011)
[2528]	102	!! $Id$
	103	!! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt)
[1239]	104	!!----------------------------------------------------------------------
	105	CONTAINS
	106
[2715]	107	INTEGER FUNCTION zdf_tke_alloc()
	108	!!----------------------------------------------------------------------
	109	!! * FUNCTION zdf_tke_alloc *
	110	!!----------------------------------------------------------------------
	111	ALLOCATE( &
	112	#if defined key_c1d
	113	& e_dis(jpi,jpj,jpk) , e_mix(jpi,jpj,jpk) , &
	114	& e_pdl(jpi,jpj,jpk) , e_ric(jpi,jpj,jpk) , &
	115	#endif
[3632]	116	& en (jpi,jpj,jpk) , htau (jpi,jpj) , dissl(jpi,jpj,jpk) , &
	117	& avt_k (jpi,jpj,jpk) , avm_k (jpi,jpj,jpk), &
	118	& avmu_k(jpi,jpj,jpk) , avmv_k(jpi,jpj,jpk), STAT= zdf_tke_alloc )
[2715]	119	!
	120	IF( lk_mpp ) CALL mpp_sum ( zdf_tke_alloc )
	121	IF( zdf_tke_alloc /= 0 ) CALL ctl_warn('zdf_tke_alloc: failed to allocate arrays')
	122	!
	123	END FUNCTION zdf_tke_alloc
	124
	125
[1531]	126	SUBROUTINE zdf_tke( kt )
[1239]	127	!!----------------------------------------------------------------------
[1531]	128	!! * ROUTINE zdf_tke *
[1239]	129	!!
	130	!! ** Purpose : Compute the vertical eddy viscosity and diffusivity
[1492]	131	!! coefficients using a turbulent closure scheme (TKE).
[1239]	132	!!
[1492]	133	!! ** Method : The time evolution of the turbulent kinetic energy (tke)
	134	!! is computed from a prognostic equation :
	135	!! d(en)/dt = avm (d(u)/dz)**2 ! shear production
	136	!! + d( avm d(en)/dz )/dz ! diffusion of tke
	137	!! + avt N^2 ! stratif. destruc.
	138	!! - rn_ediss / emxl en**(2/3) ! Kolmogoroff dissipation
[1239]	139	!! with the boundary conditions:
[1695]	140	!! surface: en = max( rn_emin0, rn_ebb * taum )
[1239]	141	!! bottom : en = rn_emin
[1492]	142	!! The associated critical Richardson number is: ri_cri = 2/(2+rn_ediss/rn_ediff)
	143	!!
	144	!! The now Turbulent kinetic energy is computed using the following
	145	!! time stepping: implicit for vertical diffusion term, linearized semi
	146	!! implicit for kolmogoroff dissipation term, and explicit forward for
	147	!! both buoyancy and shear production terms. Therefore a tridiagonal
	148	!! linear system is solved. Note that buoyancy and shear terms are
	149	!! discretized in a energy conserving form (Bruchard 2002).
	150	!!
	151	!! The dissipative and mixing length scale are computed from en and
	152	!! the stratification (see tke_avn)
	153	!!
	154	!! The now vertical eddy vicosity and diffusivity coefficients are
	155	!! given by:
	156	!! avm = max( avtb, rn_ediff * zmxlm * en^1/2 )
	157	!! avt = max( avmb, pdl * avm )
[1239]	158	!! eav = max( avmb, avm )
[1492]	159	!! where pdl, the inverse of the Prandtl number is 1 if nn_pdl=0 and
	160	!! given by an empirical funtion of the localRichardson number if nn_pdl=1
[1239]	161	!!
	162	!! ** Action : compute en (now turbulent kinetic energy)
	163	!! update avt, avmu, avmv (before vertical eddy coef.)
	164	!!
	165	!! References : Gaspar et al., JGR, 1990,
	166	!! Blanke and Delecluse, JPO, 1991
	167	!! Mellor and Blumberg, JPO 2004
	168	!! Axell, JGR, 2002
[1492]	169	!! Bruchard OM 2002
[1239]	170	!!----------------------------------------------------------------------
[1492]	171	INTEGER, INTENT(in) :: kt ! ocean time step
	172	!!----------------------------------------------------------------------
[1481]	173	!
[3632]	174	IF( kt /= nit000 ) THEN ! restore before value to compute tke
	175	avt (:,:,:) = avt_k (:,:,:)
	176	avm (:,:,:) = avm_k (:,:,:)
	177	avmu(:,:,:) = avmu_k(:,:,:)
	178	avmv(:,:,:) = avmv_k(:,:,:)
	179	ENDIF
	180	!
[2528]	181	CALL tke_tke ! now tke (en)
[1492]	182	!
[2528]	183	CALL tke_avn ! now avt, avm, avmu, avmv
	184	!
[3632]	185	avt_k (:,:,:) = avt (:,:,:)
	186	avm_k (:,:,:) = avm (:,:,:)
	187	avmu_k(:,:,:) = avmu(:,:,:)
	188	avmv_k(:,:,:) = avmv(:,:,:)
	189	!
[1531]	190	END SUBROUTINE zdf_tke
[1239]	191
[1492]	192
[1481]	193	SUBROUTINE tke_tke
[1239]	194	!!----------------------------------------------------------------------
[1492]	195	!! * ROUTINE tke_tke *
	196	!!
	197	!! ** Purpose : Compute the now Turbulente Kinetic Energy (TKE)
	198	!!
	199	!! ** Method : - TKE surface boundary condition
[2528]	200	!! - source term due to Langmuir cells (Axell JGR 2002) (ln_lc=T)
[1492]	201	!! - source term due to shear (saved in avmu, avmv arrays)
	202	!! - Now TKE : resolution of the TKE equation by inverting
	203	!! a tridiagonal linear system by a "methode de chasse"
	204	!! - increase TKE due to surface and internal wave breaking
	205	!!
	206	!! ** Action : - en : now turbulent kinetic energy)
	207	!! - avmu, avmv : production of TKE by shear at u and v-points
	208	!! (= Kz dz[Ub] * dz[Un] )
[1239]	209	!! ---------------------------------------------------------------------
[1705]	210	INTEGER :: ji, jj, jk ! dummy loop arguments
[2528]	211	!!bfr INTEGER :: ikbu, ikbv, ikbum1, ikbvm1 ! temporary scalar
	212	!!bfr INTEGER :: ikbt, ikbumm1, ikbvmm1 ! temporary scalar
[1705]	213	REAL(wp) :: zrhoa = 1.22 ! Air density kg/m3
	214	REAL(wp) :: zcdrag = 1.5e-3 ! drag coefficient
	215	REAL(wp) :: zbbrau, zesh2 ! temporary scalars
	216	REAL(wp) :: zfact1, zfact2, zfact3 ! - -
	217	REAL(wp) :: ztx2 , zty2 , zcof ! - -
	218	REAL(wp) :: ztau , zdif ! - -
	219	REAL(wp) :: zus , zwlc , zind ! - -
	220	REAL(wp) :: zzd_up, zzd_lw ! - -
[2528]	221	!!bfr REAL(wp) :: zebot ! - -
[3294]	222	INTEGER , POINTER, DIMENSION(:,: ) :: imlc
	223	REAL(wp), POINTER, DIMENSION(:,: ) :: zhlc
	224	REAL(wp), POINTER, DIMENSION(:,:,:) :: zpelc, zdiag, zd_up, zd_lw
[1239]	225	!!--------------------------------------------------------------------
[1492]	226	!
[3294]	227	IF( nn_timing == 1 ) CALL timing_start('tke_tke')
	228	!
	229	CALL wrk_alloc( jpi,jpj, imlc ) ! integer
	230	CALL wrk_alloc( jpi,jpj, zhlc )
	231	CALL wrk_alloc( jpi,jpj,jpk, zpelc, zdiag, zd_up, zd_lw )
	232	!
[1695]	233	zbbrau = rn_ebb / rau0 ! Local constant initialisation
[2528]	234	zfact1 = -.5_wp * rdt
	235	zfact2 = 1.5_wp * rdt * rn_ediss
	236	zfact3 = 0.5_wp * rn_ediss
[1492]	237	!
	238	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	239	! ! Surface boundary condition on tke
	240	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[1695]	241	DO jj = 2, jpjm1 ! en(1) = rn_ebb taum / rau0 (min value rn_emin0)
[1481]	242	DO ji = fs_2, fs_jpim1 ! vector opt.
[1695]	243	en(ji,jj,1) = MAX( rn_emin0, zbbrau * taum(ji,jj) ) * tmask(ji,jj,1)
[1481]	244	END DO
	245	END DO
[2528]	246
	247	!!bfr - start commented area
[1492]	248	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	249	! ! Bottom boundary condition on tke
	250	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[1719]	251	!
	252	!<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	253	! Tests to date have found the bottom boundary condition on tke to have very little effect.
	254	! The condition is coded here for completion but commented out until there is proof that the
	255	! computational cost is justified
	256	!<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	257	! en(bot) = (rn_ebb0/rau0)0.5sqrt(u_botfr^2+v_botfr^2) (min value rn_emin)
[1662]	258	!CDIR NOVERRCHK
[1719]	259	!! DO jj = 2, jpjm1
[1662]	260	!CDIR NOVERRCHK
[1719]	261	!! DO ji = fs_2, fs_jpim1 ! vector opt.
[2528]	262	!! ztx2 = bfrua(ji-1,jj) * ub(ji-1,jj,mbku(ji-1,jj)) + &
	263	!! bfrua(ji ,jj) * ub(ji ,jj,mbku(ji ,jj) )
	264	!! zty2 = bfrva(ji,jj ) * vb(ji,jj ,mbkv(ji,jj )) + &
	265	!! bfrva(ji,jj-1) * vb(ji,jj-1,mbkv(ji,jj-1) )
[1719]	266	!! zebot = 0.001875_wp * SQRT( ztx2 * ztx2 + zty2 * zty2 ) ! where 0.001875 = (rn_ebb0/rau0) * 0.5 = 3.75*0.5/1000.
[2528]	267	!! en (ji,jj,mbkt(ji,jj)+1) = MAX( zebot, rn_emin ) * tmask(ji,jj,1)
[1719]	268	!! END DO
	269	!! END DO
[2528]	270	!!bfr - end commented area
[1492]	271	!
	272	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[2528]	273	IF( ln_lc ) THEN ! Langmuir circulation source term added to tke (Axell JGR 2002)
[1492]	274	! !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
[1239]	275	!
[1492]	276	! !* total energy produce by LC : cumulative sum over jk
[2528]	277	zpelc(:,:,1) = MAX( rn2b(:,:,1), 0._wp ) * fsdepw(:,:,1) * fse3w(:,:,1)
[1239]	278	DO jk = 2, jpk
[2528]	279	zpelc(:,:,jk) = zpelc(:,:,jk-1) + MAX( rn2b(:,:,jk), 0._wp ) * fsdepw(:,:,jk) * fse3w(:,:,jk)
[1239]	280	END DO
[1492]	281	! !* finite Langmuir Circulation depth
[1705]	282	zcof = 0.5 * 0.016 * 0.016 / ( zrhoa * zcdrag )
[2528]	283	imlc(:,:) = mbkt(:,:) + 1 ! Initialization to the number of w ocean point (=2 over land)
[1239]	284	DO jk = jpkm1, 2, -1
[1492]	285	DO jj = 1, jpj ! Last w-level at which zpelc>=0.5usus
	286	DO ji = 1, jpi ! with us=0.016*wind(starting from jpk-1)
[1705]	287	zus = zcof * taum(ji,jj)
[1239]	288	IF( zpelc(ji,jj,jk) > zus ) imlc(ji,jj) = jk
	289	END DO
	290	END DO
	291	END DO
[1492]	292	! ! finite LC depth
	293	# if defined key_vectopt_loop
	294	DO jj = 1, 1
	295	DO ji = 1, jpij ! vector opt. (forced unrolling)
	296	# else
	297	DO jj = 1, jpj
[1239]	298	DO ji = 1, jpi
[1492]	299	# endif
[1239]	300	zhlc(ji,jj) = fsdepw(ji,jj,imlc(ji,jj))
	301	END DO
	302	END DO
[1705]	303	zcof = 0.016 / SQRT( zrhoa * zcdrag )
[1239]	304	!CDIR NOVERRCHK
[1492]	305	DO jk = 2, jpkm1 !* TKE Langmuir circulation source term added to en
[1239]	306	!CDIR NOVERRCHK
	307	DO jj = 2, jpjm1
	308	!CDIR NOVERRCHK
	309	DO ji = fs_2, fs_jpim1 ! vector opt.
[1705]	310	zus = zcof * SQRT( taum(ji,jj) ) ! Stokes drift
[1492]	311	! ! vertical velocity due to LC
[1239]	312	zind = 0.5 - SIGN( 0.5, fsdepw(ji,jj,jk) - zhlc(ji,jj) )
	313	zwlc = zind * rn_lc * zus * SIN( rpi * fsdepw(ji,jj,jk) / zhlc(ji,jj) )
[1492]	314	! ! TKE Langmuir circulation source term
	315	en(ji,jj,jk) = en(ji,jj,jk) + rdt * ( zwlc * zwlc * zwlc ) / zhlc(ji,jj) * tmask(ji,jj,jk)
[1239]	316	END DO
	317	END DO
	318	END DO
	319	!
	320	ENDIF
[1492]	321	!
	322	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	323	! ! Now Turbulent kinetic energy (output in en)
	324	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	325	! ! Resolution of a tridiagonal linear system by a "methode de chasse"
	326	! ! computation from level 2 to jpkm1 (e(1) already computed and e(jpk)=0 ).
	327	! ! zdiag : diagonal zd_up : upper diagonal zd_lw : lower diagonal
	328	!
	329	DO jk = 2, jpkm1 !* Shear production at uw- and vw-points (energy conserving form)
	330	DO jj = 1, jpj ! here avmu, avmv used as workspace
	331	DO ji = 1, jpi
	332	avmu(ji,jj,jk) = avmu(ji,jj,jk) * ( un(ji,jj,jk-1) - un(ji,jj,jk) ) &
	333	& * ( ub(ji,jj,jk-1) - ub(ji,jj,jk) ) &
	334	& / ( fse3uw_n(ji,jj,jk) &
	335	& * fse3uw_b(ji,jj,jk) )
	336	avmv(ji,jj,jk) = avmv(ji,jj,jk) * ( vn(ji,jj,jk-1) - vn(ji,jj,jk) ) &
	337	& * ( vb(ji,jj,jk-1) - vb(ji,jj,jk) ) &
	338	& / ( fse3vw_n(ji,jj,jk) &
	339	& * fse3vw_b(ji,jj,jk) )
	340	END DO
	341	END DO
	342	END DO
	343	!
	344	DO jk = 2, jpkm1 !* Matrix and right hand side in en
[1239]	345	DO jj = 2, jpjm1
	346	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	347	zcof = zfact1 * tmask(ji,jj,jk)
	348	zzd_up = zcof * ( avm (ji,jj,jk+1) + avm (ji,jj,jk ) ) & ! upper diagonal
	349	& / ( fse3t(ji,jj,jk ) * fse3w(ji,jj,jk ) )
	350	zzd_lw = zcof * ( avm (ji,jj,jk ) + avm (ji,jj,jk-1) ) & ! lower diagonal
	351	& / ( fse3t(ji,jj,jk-1) * fse3w(ji,jj,jk ) )
	352	! ! shear prod. at w-point weightened by mask
[2528]	353	zesh2 = ( avmu(ji-1,jj,jk) + avmu(ji,jj,jk) ) / MAX( 1._wp , umask(ji-1,jj,jk) + umask(ji,jj,jk) ) &
	354	& + ( avmv(ji,jj-1,jk) + avmv(ji,jj,jk) ) / MAX( 1._wp , vmask(ji,jj-1,jk) + vmask(ji,jj,jk) )
[1492]	355	!
	356	zd_up(ji,jj,jk) = zzd_up ! Matrix (zdiag, zd_up, zd_lw)
	357	zd_lw(ji,jj,jk) = zzd_lw
[2528]	358	zdiag(ji,jj,jk) = 1._wp - zzd_lw - zzd_up + zfact2 * dissl(ji,jj,jk) * tmask(ji,jj,jk)
[1239]	359	!
[1492]	360	! ! right hand side in en
[1481]	361	en(ji,jj,jk) = en(ji,jj,jk) + rdt * ( zesh2 - avt(ji,jj,jk) * rn2(ji,jj,jk) &
	362	& + zfact3 * dissl(ji,jj,jk) * en (ji,jj,jk) ) * tmask(ji,jj,jk)
[1239]	363	END DO
	364	END DO
	365	END DO
[1492]	366	! !* Matrix inversion from level 2 (tke prescribed at level 1)
[1239]	367	DO jk = 3, jpkm1 ! First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1
	368	DO jj = 2, jpjm1
	369	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	370	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]	371	END DO
	372	END DO
	373	END DO
	374	DO jj = 2, jpjm1 ! Second recurrence : Lk = RHSk - Lk / Dk-1 * Lk-1
	375	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	376	zd_lw(ji,jj,2) = en(ji,jj,2) - zd_lw(ji,jj,2) * en(ji,jj,1) ! Surface boudary conditions on tke
[1239]	377	END DO
	378	END DO
	379	DO jk = 3, jpkm1
	380	DO jj = 2, jpjm1
	381	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	382	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]	383	END DO
	384	END DO
	385	END DO
	386	DO jj = 2, jpjm1 ! thrid recurrence : Ek = ( Lk - Uk * Ek+1 ) / Dk
	387	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	388	en(ji,jj,jpkm1) = zd_lw(ji,jj,jpkm1) / zdiag(ji,jj,jpkm1)
[1239]	389	END DO
	390	END DO
	391	DO jk = jpk-2, 2, -1
	392	DO jj = 2, jpjm1
	393	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	394	en(ji,jj,jk) = ( zd_lw(ji,jj,jk) - zd_up(ji,jj,jk) * en(ji,jj,jk+1) ) / zdiag(ji,jj,jk)
[1239]	395	END DO
	396	END DO
	397	END DO
	398	DO jk = 2, jpkm1 ! set the minimum value of tke
	399	DO jj = 2, jpjm1
	400	DO ji = fs_2, fs_jpim1 ! vector opt.
	401	en(ji,jj,jk) = MAX( en(ji,jj,jk), rn_emin ) * tmask(ji,jj,jk)
	402	END DO
	403	END DO
	404	END DO
	405
[1492]	406	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	407	! ! TKE due to surface and internal wave breaking
	408	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[2528]	409	IF( nn_etau == 1 ) THEN !* penetration below the mixed layer (rn_efr fraction)
[1492]	410	DO jk = 2, jpkm1
[1239]	411	DO jj = 2, jpjm1
	412	DO ji = fs_2, fs_jpim1 ! vector opt.
[1492]	413	en(ji,jj,jk) = en(ji,jj,jk) + rn_efr * en(ji,jj,1) * EXP( -fsdepw(ji,jj,jk) / htau(ji,jj) ) &
[2528]	414	& * ( 1._wp - fr_i(ji,jj) ) * tmask(ji,jj,jk)
[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)
	422	en(ji,jj,jk) = en(ji,jj,jk) + rn_efr * en(ji,jj,1) * EXP( -fsdepw(ji,jj,jk) / htau(ji,jj) ) &
[2528]	423	& * ( 1._wp - fr_i(ji,jj) ) * tmask(ji,jj,jk)
[1239]	424	END DO
[1492]	425	END DO
[2528]	426	ELSEIF( nn_etau == 3 ) THEN !* penetration belox the mixed layer (HF variability)
[1705]	427	!CDIR NOVERRCHK
	428	DO jk = 2, jpkm1
	429	!CDIR NOVERRCHK
	430	DO jj = 2, jpjm1
	431	!CDIR NOVERRCHK
	432	DO ji = fs_2, fs_jpim1 ! vector opt.
	433	ztx2 = utau(ji-1,jj ) + utau(ji,jj)
	434	zty2 = vtau(ji ,jj-1) + vtau(ji,jj)
[2528]	435	ztau = 0.5_wp * SQRT( ztx2 * ztx2 + zty2 * zty2 ) ! module of the mean stress
	436	zdif = taum(ji,jj) - ztau ! mean of modulus - modulus of the mean
	437	zdif = rhftau_scl * MAX( 0._wp, zdif + rhftau_add ) ! apply some modifications...
[1705]	438	en(ji,jj,jk) = en(ji,jj,jk) + zbbrau * zdif * EXP( -fsdepw(ji,jj,jk) / htau(ji,jj) ) &
[2528]	439	& * ( 1._wp - fr_i(ji,jj) ) * tmask(ji,jj,jk)
[1705]	440	END DO
	441	END DO
	442	END DO
[1239]	443	ENDIF
[1492]	444	CALL lbc_lnk( en, 'W', 1. ) ! Lateral boundary conditions (sign unchanged)
	445	!
[3294]	446	CALL wrk_dealloc( jpi,jpj, imlc ) ! integer
	447	CALL wrk_dealloc( jpi,jpj, zhlc )
	448	CALL wrk_dealloc( jpi,jpj,jpk, zpelc, zdiag, zd_up, zd_lw )
[2715]	449	!
[3294]	450	IF( nn_timing == 1 ) CALL timing_stop('tke_tke')
	451	!
[1239]	452	END SUBROUTINE tke_tke
	453
[1492]	454
	455	SUBROUTINE tke_avn
[1239]	456	!!----------------------------------------------------------------------
[1492]	457	!! * ROUTINE tke_avn *
[1239]	458	!!
[1492]	459	!! ** Purpose : Compute the vertical eddy viscosity and diffusivity
	460	!!
	461	!! ** Method : At this stage, en, the now TKE, is known (computed in
	462	!! the tke_tke routine). First, the now mixing lenth is
	463	!! computed from en and the strafification (N^2), then the mixings
	464	!! coefficients are computed.
	465	!! - Mixing length : a first evaluation of the mixing lengh
	466	!! scales is:
	467	!! mxl = sqrt(2*en) / N
	468	!! where N is the brunt-vaisala frequency, with a minimum value set
[2528]	469	!! to rmxl_min (rn_mxl0) in the interior (surface) ocean.
[1492]	470	!! The mixing and dissipative length scale are bound as follow :
	471	!! nn_mxl=0 : mxl bounded by the distance to surface and bottom.
	472	!! zmxld = zmxlm = mxl
	473	!! nn_mxl=1 : mxl bounded by the e3w and zmxld = zmxlm = mxl
	474	!! nn_mxl=2 : mxl bounded such that the vertical derivative of mxl is
	475	!! less than 1 (\|d/dz(mxl)\|<1) and zmxld = zmxlm = mxl
	476	!! nn_mxl=3 : mxl is bounded from the surface to the bottom usings
	477	!! \|d/dz(xml)\|<1 to obtain lup, and from the bottom to
	478	!! the surface to obtain ldown. the resulting length
	479	!! scales are:
	480	!! zmxld = sqrt( lup * ldown )
	481	!! zmxlm = min ( lup , ldown )
	482	!! - Vertical eddy viscosity and diffusivity:
	483	!! avm = max( avtb, rn_ediff * zmxlm * en^1/2 )
	484	!! avt = max( avmb, pdlr * avm )
	485	!! with pdlr=1 if nn_pdl=0, pdlr=1/pdl=F(Ri) otherwise.
	486	!!
	487	!! ** Action : - avt : now vertical eddy diffusivity (w-point)
	488	!! - avmu, avmv : now vertical eddy viscosity at uw- and vw-points
[1239]	489	!!----------------------------------------------------------------------
[2715]	490	INTEGER :: ji, jj, jk ! dummy loop indices
	491	REAL(wp) :: zrn2, zraug, zcoef, zav ! local scalars
	492	REAL(wp) :: zdku, zpdlr, zri, zsqen ! - -
	493	REAL(wp) :: zdkv, zemxl, zemlm, zemlp ! - -
[3294]	494	REAL(wp), POINTER, DIMENSION(:,:,:) :: zmpdl, zmxlm, zmxld
[1239]	495	!!--------------------------------------------------------------------
[3294]	496	!
	497	IF( nn_timing == 1 ) CALL timing_start('tke_avn')
[1239]	498
[3294]	499	CALL wrk_alloc( jpi,jpj,jpk, zmpdl, zmxlm, zmxld )
	500
[1492]	501	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	502	! ! Mixing length
	503	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	504	!
	505	! !* Buoyancy length scale: l=sqrt(2e/n*2)
	506	!
[2528]	507	IF( ln_mxl0 ) THEN ! surface mixing length = F(stress) : l=vkarmn2.e5taum/(rau0*g)
	508	zraug = vkarmn * 2.e5_wp / ( rau0 * grav )
	509	zmxlm(:,:,1) = MAX( rn_mxl0, zraug * taum(:,:) )
	510	ELSE ! surface set to the minimum value
	511	zmxlm(:,:,1) = rn_mxl0
[1239]	512	ENDIF
[2528]	513	zmxlm(:,:,jpk) = rmxl_min ! last level set to the interior minium value
[1239]	514	!
	515	!CDIR NOVERRCHK
[2528]	516	DO jk = 2, jpkm1 ! interior value : l=sqrt(2*e/n^2)
[1239]	517	!CDIR NOVERRCHK
	518	DO jj = 2, jpjm1
	519	!CDIR NOVERRCHK
	520	DO ji = fs_2, fs_jpim1 ! vector opt.
	521	zrn2 = MAX( rn2(ji,jj,jk), rsmall )
[2528]	522	zmxlm(ji,jj,jk) = MAX( rmxl_min, SQRT( 2._wp * en(ji,jj,jk) / zrn2 ) )
[1239]	523	END DO
	524	END DO
	525	END DO
[1492]	526	!
	527	! !* Physical limits for the mixing length
	528	!
[2528]	529	zmxld(:,:, 1 ) = zmxlm(:,:,1) ! surface set to the zmxlm value
	530	zmxld(:,:,jpk) = rmxl_min ! last level set to the minimum value
[1492]	531	!
[1239]	532	SELECT CASE ( nn_mxl )
	533	!
	534	CASE ( 0 ) ! bounded by the distance to surface and bottom
	535	DO jk = 2, jpkm1
	536	DO jj = 2, jpjm1
	537	DO ji = fs_2, fs_jpim1 ! vector opt.
	538	zemxl = MIN( fsdepw(ji,jj,jk), zmxlm(ji,jj,jk), &
[2528]	539	& fsdepw(ji,jj,mbkt(ji,jj)+1) - fsdepw(ji,jj,jk) )
[1239]	540	zmxlm(ji,jj,jk) = zemxl
	541	zmxld(ji,jj,jk) = zemxl
	542	END DO
	543	END DO
	544	END DO
	545	!
	546	CASE ( 1 ) ! bounded by the vertical scale factor
	547	DO jk = 2, jpkm1
	548	DO jj = 2, jpjm1
	549	DO ji = fs_2, fs_jpim1 ! vector opt.
	550	zemxl = MIN( fse3w(ji,jj,jk), zmxlm(ji,jj,jk) )
	551	zmxlm(ji,jj,jk) = zemxl
	552	zmxld(ji,jj,jk) = zemxl
	553	END DO
	554	END DO
	555	END DO
	556	!
	557	CASE ( 2 ) ! \|dk[xml]\| bounded by e3t :
	558	DO jk = 2, jpkm1 ! from the surface to the bottom :
	559	DO jj = 2, jpjm1
	560	DO ji = fs_2, fs_jpim1 ! vector opt.
	561	zmxlm(ji,jj,jk) = MIN( zmxlm(ji,jj,jk-1) + fse3t(ji,jj,jk-1), zmxlm(ji,jj,jk) )
	562	END DO
	563	END DO
	564	END DO
	565	DO jk = jpkm1, 2, -1 ! from the bottom to the surface :
	566	DO jj = 2, jpjm1
	567	DO ji = fs_2, fs_jpim1 ! vector opt.
	568	zemxl = MIN( zmxlm(ji,jj,jk+1) + fse3t(ji,jj,jk+1), zmxlm(ji,jj,jk) )
	569	zmxlm(ji,jj,jk) = zemxl
	570	zmxld(ji,jj,jk) = zemxl
	571	END DO
	572	END DO
	573	END DO
	574	!
	575	CASE ( 3 ) ! lup and ldown, \|dk[xml]\| bounded by e3t :
	576	DO jk = 2, jpkm1 ! from the surface to the bottom : lup
	577	DO jj = 2, jpjm1
	578	DO ji = fs_2, fs_jpim1 ! vector opt.
	579	zmxld(ji,jj,jk) = MIN( zmxld(ji,jj,jk-1) + fse3t(ji,jj,jk-1), zmxlm(ji,jj,jk) )
	580	END DO
	581	END DO
	582	END DO
	583	DO jk = jpkm1, 2, -1 ! from the bottom to the surface : ldown
	584	DO jj = 2, jpjm1
	585	DO ji = fs_2, fs_jpim1 ! vector opt.
	586	zmxlm(ji,jj,jk) = MIN( zmxlm(ji,jj,jk+1) + fse3t(ji,jj,jk+1), zmxlm(ji,jj,jk) )
	587	END DO
	588	END DO
	589	END DO
	590	!CDIR NOVERRCHK
	591	DO jk = 2, jpkm1
	592	!CDIR NOVERRCHK
	593	DO jj = 2, jpjm1
	594	!CDIR NOVERRCHK
	595	DO ji = fs_2, fs_jpim1 ! vector opt.
	596	zemlm = MIN ( zmxld(ji,jj,jk), zmxlm(ji,jj,jk) )
	597	zemlp = SQRT( zmxld(ji,jj,jk) * zmxlm(ji,jj,jk) )
	598	zmxlm(ji,jj,jk) = zemlm
	599	zmxld(ji,jj,jk) = zemlp
	600	END DO
	601	END DO
	602	END DO
	603	!
	604	END SELECT
[1492]	605	!
[1239]	606	# if defined key_c1d
[1492]	607	e_dis(:,:,:) = zmxld(:,:,:) ! c1d configuration : save mixing and dissipation turbulent length scales
[1239]	608	e_mix(:,:,:) = zmxlm(:,:,:)
	609	# endif
	610
[1492]	611	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
	612	! ! Vertical eddy viscosity and diffusivity (avmu, avmv, avt)
	613	! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
[1239]	614	!CDIR NOVERRCHK
[1492]	615	DO jk = 1, jpkm1 !* vertical eddy viscosity & diffivity at w-points
[1239]	616	!CDIR NOVERRCHK
	617	DO jj = 2, jpjm1
	618	!CDIR NOVERRCHK
	619	DO ji = fs_2, fs_jpim1 ! vector opt.
	620	zsqen = SQRT( en(ji,jj,jk) )
	621	zav = rn_ediff * zmxlm(ji,jj,jk) * zsqen
[1492]	622	avm (ji,jj,jk) = MAX( zav, avmb(jk) ) * tmask(ji,jj,jk)
	623	avt (ji,jj,jk) = MAX( zav, avtb_2d(ji,jj) * avtb(jk) ) * tmask(ji,jj,jk)
[1239]	624	dissl(ji,jj,jk) = zsqen / zmxld(ji,jj,jk)
	625	END DO
	626	END DO
	627	END DO
[1492]	628	CALL lbc_lnk( avm, 'W', 1. ) ! Lateral boundary conditions (sign unchanged)
	629	!
	630	DO jk = 2, jpkm1 !* vertical eddy viscosity at u- and v-points
[1239]	631	DO jj = 2, jpjm1
	632	DO ji = fs_2, fs_jpim1 ! vector opt.
[1481]	633	avmu(ji,jj,jk) = 0.5 * ( avm(ji,jj,jk) + avm(ji+1,jj ,jk) ) * umask(ji,jj,jk)
	634	avmv(ji,jj,jk) = 0.5 * ( avm(ji,jj,jk) + avm(ji ,jj+1,jk) ) * vmask(ji,jj,jk)
[1239]	635	END DO
	636	END DO
	637	END DO
	638	CALL lbc_lnk( avmu, 'U', 1. ) ; CALL lbc_lnk( avmv, 'V', 1. ) ! Lateral boundary conditions
[1492]	639	!
	640	IF( nn_pdl == 1 ) THEN !* Prandtl number case: update avt
[1239]	641	DO jk = 2, jpkm1
	642	DO jj = 2, jpjm1
	643	DO ji = fs_2, fs_jpim1 ! vector opt.
[2528]	644	zcoef = avm(ji,jj,jk) * 2._wp * fse3w(ji,jj,jk) * fse3w(ji,jj,jk)
[1492]	645	! ! shear
	646	zdku = avmu(ji-1,jj,jk) * ( un(ji-1,jj,jk-1) - un(ji-1,jj,jk) ) * ( ub(ji-1,jj,jk-1) - ub(ji-1,jj,jk) ) &
	647	& + avmu(ji ,jj,jk) * ( un(ji ,jj,jk-1) - un(ji ,jj,jk) ) * ( ub(ji ,jj,jk-1) - ub(ji ,jj,jk) )
	648	zdkv = avmv(ji,jj-1,jk) * ( vn(ji,jj-1,jk-1) - vn(ji,jj-1,jk) ) * ( vb(ji,jj-1,jk-1) - vb(ji,jj-1,jk) ) &
	649	& + avmv(ji,jj ,jk) * ( vn(ji,jj ,jk-1) - vn(ji,jj ,jk) ) * ( vb(ji,jj ,jk-1) - vb(ji,jj ,jk) )
	650	! ! local Richardson number
[2528]	651	zri = MAX( rn2b(ji,jj,jk), 0._wp ) * zcoef / (zdku + zdkv + rn_bshear )
	652	zpdlr = MAX( 0.1_wp, 0.2 / MAX( 0.2 , zri ) )
[1492]	653	!!gm and even better with the use of the "true" ri_crit=0.22222... (this change the results!)
[2528]	654	!!gm zpdlr = MAX( 0.1_wp, ri_crit / MAX( ri_crit , zri ) )
[1492]	655	avt(ji,jj,jk) = MAX( zpdlr * avt(ji,jj,jk), avtb_2d(ji,jj) * avtb(jk) ) * tmask(ji,jj,jk)
	656	# if defined key_c1d
	657	e_pdl(ji,jj,jk) = zpdlr * tmask(ji,jj,jk) ! c1d configuration : save masked Prandlt number
[1239]	658	e_ric(ji,jj,jk) = zri * tmask(ji,jj,jk) ! c1d config. : save Ri
	659	# endif
	660	END DO
	661	END DO
	662	END DO
	663	ENDIF
	664	CALL lbc_lnk( avt, 'W', 1. ) ! Lateral boundary conditions on avt (sign unchanged)
	665
	666	IF(ln_ctl) THEN
	667	CALL prt_ctl( tab3d_1=en , clinfo1=' tke - e: ', tab3d_2=avt, clinfo2=' t: ', ovlap=1, kdim=jpk)
	668	CALL prt_ctl( tab3d_1=avmu, clinfo1=' tke - u: ', mask1=umask, &
	669	& tab3d_2=avmv, clinfo2= ' v: ', mask2=vmask, ovlap=1, kdim=jpk )
	670	ENDIF
	671	!
[3294]	672	CALL wrk_dealloc( jpi,jpj,jpk, zmpdl, zmxlm, zmxld )
	673	!
	674	IF( nn_timing == 1 ) CALL timing_stop('tke_avn')
	675	!
[1492]	676	END SUBROUTINE tke_avn
[1239]	677
[1492]	678
[2528]	679	SUBROUTINE zdf_tke_init
[1239]	680	!!----------------------------------------------------------------------
[2528]	681	!! * ROUTINE zdf_tke_init *
[1239]	682	!!
	683	!! ** Purpose : Initialization of the vertical eddy diffivity and
[1492]	684	!! viscosity when using a tke turbulent closure scheme
[1239]	685	!!
[1601]	686	!! ** Method : Read the namzdf_tke namelist and check the parameters
[1492]	687	!! called at the first timestep (nit000)
[1239]	688	!!
[1601]	689	!! ** input : Namlist namzdf_tke
[1239]	690	!!
	691	!! ** Action : Increase by 1 the nstop flag is setting problem encounter
	692	!!----------------------------------------------------------------------
	693	INTEGER :: ji, jj, jk ! dummy loop indices
	694	!!
[2528]	695	NAMELIST/namzdf_tke/ rn_ediff, rn_ediss , rn_ebb , rn_emin , &
	696	& rn_emin0, rn_bshear, nn_mxl , ln_mxl0 , &
	697	& rn_mxl0 , nn_pdl , ln_lc , rn_lc , &
	698	& nn_etau , nn_htau , rn_efr
[1239]	699	!!----------------------------------------------------------------------
[2715]	700	!
[1601]	701	REWIND ( numnam ) !* Read Namelist namzdf_tke : Turbulente Kinetic Energy
	702	READ ( numnam, namzdf_tke )
[2715]	703	!
[2528]	704	ri_cri = 2._wp / ( 2._wp + rn_ediss / rn_ediff ) ! resulting critical Richardson number
	705	rmxl_min = 1.e-6_wp / ( rn_ediff * SQRT( rn_emin ) ) ! resulting minimum length to recover molecular viscosity
[2715]	706	!
[1492]	707	IF(lwp) THEN !* Control print
[1239]	708	WRITE(numout,*)
[2528]	709	WRITE(numout,*) 'zdf_tke_init : tke turbulent closure scheme - initialisation'
	710	WRITE(numout,*) '~~~~~~~~~~~~'
[1601]	711	WRITE(numout,*) ' Namelist namzdf_tke : set tke mixing parameters'
[1705]	712	WRITE(numout,*) ' coef. to compute avt rn_ediff = ', rn_ediff
	713	WRITE(numout,*) ' Kolmogoroff dissipation coef. rn_ediss = ', rn_ediss
	714	WRITE(numout,*) ' tke surface input coef. rn_ebb = ', rn_ebb
	715	WRITE(numout,*) ' minimum value of tke rn_emin = ', rn_emin
	716	WRITE(numout,*) ' surface minimum value of tke rn_emin0 = ', rn_emin0
	717	WRITE(numout,*) ' background shear (>0) rn_bshear = ', rn_bshear
	718	WRITE(numout,*) ' mixing length type nn_mxl = ', nn_mxl
	719	WRITE(numout,*) ' prandl number flag nn_pdl = ', nn_pdl
	720	WRITE(numout,*) ' surface mixing length = F(stress) or not ln_mxl0 = ', ln_mxl0
[2528]	721	WRITE(numout,*) ' surface mixing length minimum value rn_mxl0 = ', rn_mxl0
	722	WRITE(numout,*) ' flag to take into acc. Langmuir circ. ln_lc = ', ln_lc
	723	WRITE(numout,*) ' coef to compute verticla velocity of LC rn_lc = ', rn_lc
[1705]	724	WRITE(numout,*) ' test param. to add tke induced by wind nn_etau = ', nn_etau
	725	WRITE(numout,*) ' flag for computation of exp. tke profile nn_htau = ', nn_htau
	726	WRITE(numout,*) ' fraction of en which pene. the thermocline rn_efr = ', rn_efr
[1239]	727	WRITE(numout,*)
[1601]	728	WRITE(numout,*) ' critical Richardson nb with your parameters ri_cri = ', ri_cri
[1239]	729	ENDIF
[2715]	730	!
	731	! ! allocate tke arrays
	732	IF( zdf_tke_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_tke_init : unable to allocate arrays' )
	733	!
[1492]	734	! !* Check of some namelist values
[2528]	735	IF( nn_mxl < 0 .OR. nn_mxl > 3 ) CALL ctl_stop( 'bad flag: nn_mxl is 0, 1 or 2 ' )
	736	IF( nn_pdl < 0 .OR. nn_pdl > 1 ) CALL ctl_stop( 'bad flag: nn_pdl is 0 or 1 ' )
	737	IF( nn_htau < 0 .OR. nn_htau > 1 ) CALL ctl_stop( 'bad flag: nn_htau is 0, 1 or 2 ' )
	738	#if ! key_coupled
	739	IF( nn_etau == 3 ) CALL ctl_stop( 'nn_etau == 3 : HF taum only known in coupled mode' )
	740	#endif
[1239]	741
[2528]	742	IF( ln_mxl0 ) THEN
	743	IF(lwp) WRITE(numout,*) ' use a surface mixing length = F(stress) : set rn_mxl0 = rmxl_min'
	744	rn_mxl0 = rmxl_min
	745	ENDIF
	746
[1492]	747	IF( nn_etau == 2 ) CALL zdf_mxl( nit000 ) ! Initialization of nmln
[1239]	748
[1492]	749	! !* depth of penetration of surface tke
	750	IF( nn_etau /= 0 ) THEN
[1601]	751	SELECT CASE( nn_htau ) ! Choice of the depth of penetration
[2528]	752	CASE( 0 ) ! constant depth penetration (here 10 meters)
	753	htau(:,:) = 10._wp
	754	CASE( 1 ) ! F(latitude) : 0.5m to 30m poleward of 40 degrees
	755	htau(:,:) = MAX( 0.5_wp, MIN( 30._wp, 45._wp* ABS( SIN( rpi/180._wp * gphit(:,:) ) ) ) )
[1492]	756	END SELECT
	757	ENDIF
	758	! !* set vertical eddy coef. to the background value
[1239]	759	DO jk = 1, jpk
	760	avt (:,:,jk) = avtb(jk) * tmask(:,:,jk)
[1481]	761	avm (:,:,jk) = avmb(jk) * tmask(:,:,jk)
[1239]	762	avmu(:,:,jk) = avmb(jk) * umask(:,:,jk)
	763	avmv(:,:,jk) = avmb(jk) * vmask(:,:,jk)
	764	END DO
[2528]	765	dissl(:,:,:) = 1.e-12_wp
[2715]	766	!
	767	CALL tke_rst( nit000, 'READ' ) !* read or initialize all required files
[1239]	768	!
[2528]	769	END SUBROUTINE zdf_tke_init
[1239]	770
	771
[1531]	772	SUBROUTINE tke_rst( kt, cdrw )
[1239]	773	!!---------------------------------------------------------------------
[1531]	774	!! * ROUTINE tke_rst *
[1239]	775	!!
	776	!! ** Purpose : Read or write TKE file (en) in restart file
	777	!!
	778	!! ** Method : use of IOM library
	779	!! if the restart does not contain TKE, en is either
[1537]	780	!! set to rn_emin or recomputed
[1239]	781	!!----------------------------------------------------------------------
[2715]	782	INTEGER , INTENT(in) :: kt ! ocean time-step
	783	CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag
[1239]	784	!
[1481]	785	INTEGER :: jit, jk ! dummy loop indices
[2715]	786	INTEGER :: id1, id2, id3, id4, id5, id6 ! local integers
[1239]	787	!!----------------------------------------------------------------------
	788	!
[1481]	789	IF( TRIM(cdrw) == 'READ' ) THEN ! Read/initialise
	790	! ! ---------------
	791	IF( ln_rstart ) THEN !* Read the restart file
	792	id1 = iom_varid( numror, 'en' , ldstop = .FALSE. )
	793	id2 = iom_varid( numror, 'avt' , ldstop = .FALSE. )
	794	id3 = iom_varid( numror, 'avm' , ldstop = .FALSE. )
	795	id4 = iom_varid( numror, 'avmu' , ldstop = .FALSE. )
	796	id5 = iom_varid( numror, 'avmv' , ldstop = .FALSE. )
	797	id6 = iom_varid( numror, 'dissl', ldstop = .FALSE. )
	798	!
	799	IF( id1 > 0 ) THEN ! 'en' exists
[1239]	800	CALL iom_get( numror, jpdom_autoglo, 'en', en )
[1481]	801	IF( MIN( id2, id3, id4, id5, id6 ) > 0 ) THEN ! all required arrays exist
	802	CALL iom_get( numror, jpdom_autoglo, 'avt' , avt )
	803	CALL iom_get( numror, jpdom_autoglo, 'avm' , avm )
	804	CALL iom_get( numror, jpdom_autoglo, 'avmu' , avmu )
	805	CALL iom_get( numror, jpdom_autoglo, 'avmv' , avmv )
	806	CALL iom_get( numror, jpdom_autoglo, 'dissl', dissl )
[1492]	807	ELSE ! one at least array is missing
	808	CALL tke_avn ! compute avt, avm, avmu, avmv and dissl (approximation)
[1481]	809	ENDIF
	810	ELSE ! No TKE array found: initialisation
	811	IF(lwp) WRITE(numout,*) ' ===>>>> : previous run without tke scheme, en computed by iterative loop'
[1239]	812	en (:,:,:) = rn_emin * tmask(:,:,:)
[1492]	813	CALL tke_avn ! recompute avt, avm, avmu, avmv and dissl (approximation)
[1531]	814	DO jit = nit000 + 1, nit000 + 10 ; CALL zdf_tke( jit ) ; END DO
[1239]	815	ENDIF
[1481]	816	ELSE !* Start from rest
	817	en(:,:,:) = rn_emin * tmask(:,:,:)
	818	DO jk = 1, jpk ! set the Kz to the background value
	819	avt (:,:,jk) = avtb(jk) * tmask(:,:,jk)
	820	avm (:,:,jk) = avmb(jk) * tmask(:,:,jk)
	821	avmu(:,:,jk) = avmb(jk) * umask(:,:,jk)
	822	avmv(:,:,jk) = avmb(jk) * vmask(:,:,jk)
	823	END DO
[1239]	824	ENDIF
[1481]	825	!
	826	ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN ! Create restart file
	827	! ! -------------------
[1531]	828	IF(lwp) WRITE(numout,*) '---- tke-rst ----'
[3632]	829	CALL iom_rstput( kt, nitrst, numrow, 'en' , en )
	830	CALL iom_rstput( kt, nitrst, numrow, 'avt' , avt_k )
	831	CALL iom_rstput( kt, nitrst, numrow, 'avm' , avm_k )
	832	CALL iom_rstput( kt, nitrst, numrow, 'avmu' , avmu_k )
	833	CALL iom_rstput( kt, nitrst, numrow, 'avmv' , avmv_k )
	834	CALL iom_rstput( kt, nitrst, numrow, 'dissl', dissl )
[1481]	835	!
[1239]	836	ENDIF
	837	!
[1531]	838	END SUBROUTINE tke_rst
[1239]	839
	840	#else
	841	!!----------------------------------------------------------------------
	842	!! Dummy module : NO TKE scheme
	843	!!----------------------------------------------------------------------
[1531]	844	LOGICAL, PUBLIC, PARAMETER :: lk_zdftke = .FALSE. !: TKE flag
[1239]	845	CONTAINS
[2528]	846	SUBROUTINE zdf_tke_init ! Dummy routine
	847	END SUBROUTINE zdf_tke_init
	848	SUBROUTINE zdf_tke( kt ) ! Dummy routine
[1531]	849	WRITE(,) 'zdf_tke: You should not have seen this print! error?', kt
	850	END SUBROUTINE zdf_tke
	851	SUBROUTINE tke_rst( kt, cdrw )
[1492]	852	CHARACTER(len=*) :: cdrw
[1531]	853	WRITE(,) 'tke_rst: You should not have seen this print! error?', kt, cdwr
	854	END SUBROUTINE tke_rst
[1239]	855	#endif
	856
	857	!!======================================================================
[1531]	858	END MODULE zdftke

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