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domvvl.F90 in branches/2017/dev_METO_2017/NEMOGCM/NEMO/OPA_SRC/DOM – NEMO

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source: branches/2017/dev_METO_2017/NEMOGCM/NEMO/OPA_SRC/DOM/domvvl.F90 @ 8987

Last change on this file since 8987 was 8987, checked in by timgraham, 6 years ago
Merge in XIOS read/write branch again
Property svn:keywords set to `Id`
File size: 56.1 KB

Rev	Line
[592]	1	MODULE domvvl
	2	!!======================================================================
	3	!! * MODULE domvvl *
	4	!! Ocean :
	5	!!======================================================================
[1438]	6	!! History : 2.0 ! 2006-06 (B. Levier, L. Marie) original code
	7	!! 3.1 ! 2009-02 (G. Madec, M. Leclair, R. Benshila) pure z* coordinate
[4292]	8	!! 3.3 ! 2011-10 (M. Leclair) totally rewrote domvvl:
	9	!! vvl option includes z_star and z_tilde coordinates
[5120]	10	!! 3.6 ! 2014-11 (P. Mathiot) add ice shelf capability
[592]	11	!!----------------------------------------------------------------------
[5836]	12
[592]	13	!!----------------------------------------------------------------------
[4292]	14	!! dom_vvl_init : define initial vertical scale factors, depths and column thickness
	15	!! dom_vvl_sf_nxt : Compute next vertical scale factors
	16	!! dom_vvl_sf_swp : Swap vertical scale factors and update the vertical grid
	17	!! dom_vvl_interpol : Interpolate vertical scale factors from one grid point to another
	18	!! dom_vvl_rst : read/write restart file
	19	!! dom_vvl_ctl : Check the vvl options
	20	!!----------------------------------------------------------------------
[592]	21	USE oce ! ocean dynamics and tracers
[6140]	22	USE phycst ! physical constant
[592]	23	USE dom_oce ! ocean space and time domain
[4292]	24	USE sbc_oce ! ocean surface boundary condition
[6152]	25	USE wet_dry ! wetting and drying
[7646]	26	USE usrdef_istate ! user defined initial state (wad only)
[6140]	27	USE restart ! ocean restart
	28	!
[592]	29	USE in_out_manager ! I/O manager
[4292]	30	USE iom ! I/O manager library
[592]	31	USE lib_mpp ! distributed memory computing library
	32	USE lbclnk ! ocean lateral boundary conditions (or mpp link)
[3294]	33	USE wrk_nemo ! Memory allocation
	34	USE timing ! Timing
[592]	35
	36	IMPLICIT NONE
	37	PRIVATE
	38
[4292]	39	PUBLIC dom_vvl_init ! called by domain.F90
	40	PUBLIC dom_vvl_sf_nxt ! called by step.F90
	41	PUBLIC dom_vvl_sf_swp ! called by step.F90
	42	PUBLIC dom_vvl_interpol ! called by dynnxt.F90
[592]	43
[5836]	44	! !!* Namelist nam_vvl
	45	LOGICAL , PUBLIC :: ln_vvl_zstar = .FALSE. ! zstar vertical coordinate
	46	LOGICAL , PUBLIC :: ln_vvl_ztilde = .FALSE. ! ztilde vertical coordinate
	47	LOGICAL , PUBLIC :: ln_vvl_layer = .FALSE. ! level vertical coordinate
	48	LOGICAL , PUBLIC :: ln_vvl_ztilde_as_zstar = .FALSE. ! ztilde vertical coordinate
	49	LOGICAL , PUBLIC :: ln_vvl_zstar_at_eqtor = .FALSE. ! ztilde vertical coordinate
	50	LOGICAL , PUBLIC :: ln_vvl_kepe = .FALSE. ! kinetic/potential energy transfer
	51	! ! conservation: not used yet
	52	REAL(wp) :: rn_ahe3 ! thickness diffusion coefficient
	53	REAL(wp) :: rn_rst_e3t ! ztilde to zstar restoration timescale [days]
	54	REAL(wp) :: rn_lf_cutoff ! cutoff frequency for low-pass filter [days]
	55	REAL(wp) :: rn_zdef_max ! maximum fractional e3t deformation
	56	LOGICAL , PUBLIC :: ln_vvl_dbg = .FALSE. ! debug control prints
[592]	57
[5836]	58	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: un_td, vn_td ! thickness diffusion transport
	59	REAL(wp) , ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: hdiv_lf ! low frequency part of hz divergence
	60	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: tilde_e3t_b, tilde_e3t_n ! baroclinic scale factors
	61	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: tilde_e3t_a, dtilde_e3t_a ! baroclinic scale factors
	62	REAL(wp) , ALLOCATABLE, SAVE, DIMENSION(:,:) :: frq_rst_e3t ! retoring period for scale factors
	63	REAL(wp) , ALLOCATABLE, SAVE, DIMENSION(:,:) :: frq_rst_hdv ! retoring period for low freq. divergence
[1438]	64
[592]	65	!! * Substitutions
	66	# include "vectopt_loop_substitute.h90"
	67	!!----------------------------------------------------------------------
[6140]	68	!! NEMO/OPA 3.7 , NEMO-Consortium (2015)
[888]	69	!! $Id$
[2715]	70	!! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt)
[592]	71	!!----------------------------------------------------------------------
[4292]	72	CONTAINS
	73
[2715]	74	INTEGER FUNCTION dom_vvl_alloc()
	75	!!----------------------------------------------------------------------
[4292]	76	!! * FUNCTION dom_vvl_alloc *
[2715]	77	!!----------------------------------------------------------------------
[6140]	78	IF( ln_vvl_zstar ) dom_vvl_alloc = 0
[4292]	79	IF( ln_vvl_ztilde .OR. ln_vvl_layer ) THEN
[4338]	80	ALLOCATE( tilde_e3t_b(jpi,jpj,jpk) , tilde_e3t_n(jpi,jpj,jpk) , tilde_e3t_a(jpi,jpj,jpk) , &
	81	& dtilde_e3t_a(jpi,jpj,jpk) , un_td (jpi,jpj,jpk) , vn_td (jpi,jpj,jpk) , &
	82	& STAT = dom_vvl_alloc )
[4292]	83	IF( lk_mpp ) CALL mpp_sum ( dom_vvl_alloc )
	84	IF( dom_vvl_alloc /= 0 ) CALL ctl_warn('dom_vvl_alloc: failed to allocate arrays')
[6140]	85	un_td = 0._wp
	86	vn_td = 0._wp
[4292]	87	ENDIF
	88	IF( ln_vvl_ztilde ) THEN
	89	ALLOCATE( frq_rst_e3t(jpi,jpj) , frq_rst_hdv(jpi,jpj) , hdiv_lf(jpi,jpj,jpk) , STAT= dom_vvl_alloc )
	90	IF( lk_mpp ) CALL mpp_sum ( dom_vvl_alloc )
	91	IF( dom_vvl_alloc /= 0 ) CALL ctl_warn('dom_vvl_alloc: failed to allocate arrays')
	92	ENDIF
[6140]	93	!
[2715]	94	END FUNCTION dom_vvl_alloc
	95
	96
[4292]	97	SUBROUTINE dom_vvl_init
[592]	98	!!----------------------------------------------------------------------
[4292]	99	!! * ROUTINE dom_vvl_init *
[592]	100	!!
[4292]	101	!! ** Purpose : Initialization of all scale factors, depths
	102	!! and water column heights
	103	!!
	104	!! ** Method : - use restart file and/or initialize
	105	!! - interpolate scale factors
	106	!!
[6140]	107	!! ** Action : - e3t_(n/b) and tilde_e3t_(n/b)
	108	!! - Regrid: e3(u/v)_n
	109	!! e3(u/v)_b
	110	!! e3w_n
	111	!! e3(u/v)w_b
	112	!! e3(u/v)w_n
	113	!! gdept_n, gdepw_n and gde3w_n
[4292]	114	!! - h(t/u/v)_0
	115	!! - frq_rst_e3t and frq_rst_hdv
	116	!!
	117	!! Reference : Leclair, M., and G. Madec, 2011, Ocean Modelling.
[592]	118	!!----------------------------------------------------------------------
[6140]	119	INTEGER :: ji, jj, jk
[4292]	120	INTEGER :: ii0, ii1, ij0, ij1
[5120]	121	REAL(wp):: zcoef
[592]	122	!!----------------------------------------------------------------------
[6140]	123	!
	124	IF( nn_timing == 1 ) CALL timing_start('dom_vvl_init')
	125	!
[4292]	126	IF(lwp) WRITE(numout,*)
	127	IF(lwp) WRITE(numout,*) 'dom_vvl_init : Variable volume activated'
	128	IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~'
[6140]	129	!
	130	CALL dom_vvl_ctl ! choose vertical coordinate (z_star, z_tilde or layer)
	131	!
	132	! ! Allocate module arrays
[4292]	133	IF( dom_vvl_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'dom_vvl_init : unable to allocate arrays' )
[6140]	134	!
	135	! ! Read or initialize e3t_(b/n), tilde_e3t_(b/n) and hdiv_lf
[4292]	136	CALL dom_vvl_rst( nit000, 'READ' )
[7753]	137	e3t_a(:,:,jpk) = e3t_0(:,:,jpk) ! last level always inside the sea floor set one for all
[6140]	138	!
	139	! !== Set of all other vertical scale factors ==! (now and before)
	140	! ! Horizontal interpolation of e3t
	141	CALL dom_vvl_interpol( e3t_b(:,:,:), e3u_b(:,:,:), 'U' ) ! from T to U
	142	CALL dom_vvl_interpol( e3t_n(:,:,:), e3u_n(:,:,:), 'U' )
	143	CALL dom_vvl_interpol( e3t_b(:,:,:), e3v_b(:,:,:), 'V' ) ! from T to V
	144	CALL dom_vvl_interpol( e3t_n(:,:,:), e3v_n(:,:,:), 'V' )
	145	CALL dom_vvl_interpol( e3u_n(:,:,:), e3f_n(:,:,:), 'F' ) ! from U to F
	146	! ! Vertical interpolation of e3t,u,v
	147	CALL dom_vvl_interpol( e3t_n(:,:,:), e3w_n (:,:,:), 'W' ) ! from T to W
	148	CALL dom_vvl_interpol( e3t_b(:,:,:), e3w_b (:,:,:), 'W' )
	149	CALL dom_vvl_interpol( e3u_n(:,:,:), e3uw_n(:,:,:), 'UW' ) ! from U to UW
	150	CALL dom_vvl_interpol( e3u_b(:,:,:), e3uw_b(:,:,:), 'UW' )
	151	CALL dom_vvl_interpol( e3v_n(:,:,:), e3vw_n(:,:,:), 'VW' ) ! from V to UW
	152	CALL dom_vvl_interpol( e3v_b(:,:,:), e3vw_b(:,:,:), 'VW' )
	153	!
	154	! !== depth of t and w-point ==! (set the isf depth as it is in the initial timestep)
[7753]	155	gdept_n(:,:,1) = 0.5_wp * e3w_n(:,:,1) ! reference to the ocean surface (used for MLD and light penetration)
	156	gdepw_n(:,:,1) = 0.0_wp
	157	gde3w_n(:,:,1) = gdept_n(:,:,1) - sshn(:,:) ! reference to a common level z=0 for hpg
	158	gdept_b(:,:,1) = 0.5_wp * e3w_b(:,:,1)
	159	gdepw_b(:,:,1) = 0.0_wp
[6140]	160	DO jk = 2, jpk ! vertical sum
[5120]	161	DO jj = 1,jpj
	162	DO ji = 1,jpi
[6140]	163	! zcoef = tmask - wmask ! 0 everywhere tmask = wmask, ie everywhere expect at jk = mikt
	164	! ! 1 everywhere from mbkt to mikt + 1 or 1 (if no isf)
	165	! ! 0.5 where jk = mikt
	166	!!gm ??????? BUG ? gdept_n as well as gde3w_n does not include the thickness of ISF ??
	167	zcoef = ( tmask(ji,jj,jk) - wmask(ji,jj,jk) )
	168	gdepw_n(ji,jj,jk) = gdepw_n(ji,jj,jk-1) + e3t_n(ji,jj,jk-1)
	169	gdept_n(ji,jj,jk) = zcoef * ( gdepw_n(ji,jj,jk ) + 0.5 * e3w_n(ji,jj,jk)) &
	170	& + (1-zcoef) * ( gdept_n(ji,jj,jk-1) + e3w_n(ji,jj,jk))
	171	gde3w_n(ji,jj,jk) = gdept_n(ji,jj,jk) - sshn(ji,jj)
	172	gdepw_b(ji,jj,jk) = gdepw_b(ji,jj,jk-1) + e3t_b(ji,jj,jk-1)
	173	gdept_b(ji,jj,jk) = zcoef * ( gdepw_b(ji,jj,jk ) + 0.5 * e3w_b(ji,jj,jk)) &
	174	& + (1-zcoef) * ( gdept_b(ji,jj,jk-1) + e3w_b(ji,jj,jk))
[4990]	175	END DO
	176	END DO
[592]	177	END DO
[6140]	178	!
	179	! !== thickness of the water column !! (ocean portion only)
[7753]	180	ht_n(:,:) = e3t_n(:,:,1) * tmask(:,:,1) !!gm BUG : this should be 1/2 * e3w(k=1) ....
	181	hu_b(:,:) = e3u_b(:,:,1) * umask(:,:,1)
	182	hu_n(:,:) = e3u_n(:,:,1) * umask(:,:,1)
	183	hv_b(:,:) = e3v_b(:,:,1) * vmask(:,:,1)
	184	hv_n(:,:) = e3v_n(:,:,1) * vmask(:,:,1)
[6140]	185	DO jk = 2, jpkm1
[7753]	186	ht_n(:,:) = ht_n(:,:) + e3t_n(:,:,jk) * tmask(:,:,jk)
	187	hu_b(:,:) = hu_b(:,:) + e3u_b(:,:,jk) * umask(:,:,jk)
	188	hu_n(:,:) = hu_n(:,:) + e3u_n(:,:,jk) * umask(:,:,jk)
	189	hv_b(:,:) = hv_b(:,:) + e3v_b(:,:,jk) * vmask(:,:,jk)
	190	hv_n(:,:) = hv_n(:,:) + e3v_n(:,:,jk) * vmask(:,:,jk)
[4370]	191	END DO
[6140]	192	!
	193	! !== inverse of water column thickness ==! (u- and v- points)
[7753]	194	r1_hu_b(:,:) = ssumask(:,:) / ( hu_b(:,:) + 1._wp - ssumask(:,:) ) ! _i mask due to ISF
	195	r1_hu_n(:,:) = ssumask(:,:) / ( hu_n(:,:) + 1._wp - ssumask(:,:) )
	196	r1_hv_b(:,:) = ssvmask(:,:) / ( hv_b(:,:) + 1._wp - ssvmask(:,:) )
	197	r1_hv_n(:,:) = ssvmask(:,:) / ( hv_n(:,:) + 1._wp - ssvmask(:,:) )
	198
[6140]	199	! !== z_tilde coordinate case ==! (Restoring frequencies)
[4292]	200	IF( ln_vvl_ztilde ) THEN
[6140]	201	!!gm : idea: add here a READ in a file of custumized restoring frequency
	202	! ! Values in days provided via the namelist
	203	! ! use rsmall to avoid possible division by zero errors with faulty settings
[7753]	204	frq_rst_e3t(:,:) = 2._wp * rpi / ( MAX( rn_rst_e3t , rsmall ) * 86400.0_wp )
	205	frq_rst_hdv(:,:) = 2._wp * rpi / ( MAX( rn_lf_cutoff, rsmall ) * 86400.0_wp )
[6140]	206	!
	207	IF( ln_vvl_ztilde_as_zstar ) THEN ! z-star emulation using z-tile
[7753]	208	frq_rst_e3t(:,:) = 0._wp !Ignore namelist settings
	209	frq_rst_hdv(:,:) = 1._wp / rdt
[4292]	210	ENDIF
[6140]	211	IF ( ln_vvl_zstar_at_eqtor ) THEN ! use z-star in vicinity of the Equator
[4292]	212	DO jj = 1, jpj
	213	DO ji = 1, jpi
[6140]	214	!!gm case \|gphi\| >= 6 degrees is useless initialized just above by default
[4292]	215	IF( ABS(gphit(ji,jj)) >= 6.) THEN
	216	! values outside the equatorial band and transition zone (ztilde)
	217	frq_rst_e3t(ji,jj) = 2.0_wp * rpi / ( MAX( rn_rst_e3t , rsmall ) * 86400.e0_wp )
	218	frq_rst_hdv(ji,jj) = 2.0_wp * rpi / ( MAX( rn_lf_cutoff, rsmall ) * 86400.e0_wp )
[6140]	219	ELSEIF( ABS(gphit(ji,jj)) <= 2.5) THEN ! Equator strip ==> z-star
[4292]	220	! values inside the equatorial band (ztilde as zstar)
	221	frq_rst_e3t(ji,jj) = 0.0_wp
	222	frq_rst_hdv(ji,jj) = 1.0_wp / rdt
[6140]	223	ELSE ! transition band (2.5 to 6 degrees N/S)
	224	! ! (linearly transition from z-tilde to z-star)
[4292]	225	frq_rst_e3t(ji,jj) = 0.0_wp + (frq_rst_e3t(ji,jj)-0.0_wp)*0.5_wp &
	226	& * ( 1.0_wp - COS( rad*(ABS(gphit(ji,jj))-2.5_wp) &
	227	& * 180._wp / 3.5_wp ) )
	228	frq_rst_hdv(ji,jj) = (1.0_wp / rdt) &
	229	& + ( frq_rst_hdv(ji,jj)-(1.e0_wp / rdt) )*0.5_wp &
	230	& * ( 1._wp - COS( rad*(ABS(gphit(ji,jj))-2.5_wp) &
	231	& * 180._wp / 3.5_wp ) )
	232	ENDIF
	233	END DO
	234	END DO
[7646]	235	IF( cn_cfg == "orca" .AND. nn_cfg == 3 ) THEN ! ORCA2: Suppress ztilde in the Foxe Basin for ORCA2
[6140]	236	ii0 = 103 ; ii1 = 111
[4292]	237	ij0 = 128 ; ij1 = 135 ;
	238	frq_rst_e3t( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) ) = 0.0_wp
	239	frq_rst_hdv( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) ) = 1.e0_wp / rdt
	240	ENDIF
	241	ENDIF
	242	ENDIF
[6140]	243	!
[8987]	244	IF(lwxios) THEN
	245	! define variables in restart file when writing with XIOS
	246	CALL iom_set_rstw_var_active('e3t_b')
	247	CALL iom_set_rstw_var_active('e3t_n')
	248	! ! ----------------------- !
	249	IF( ln_vvl_ztilde .OR. ln_vvl_layer ) THEN ! z_tilde and layer cases !
	250	! ! ----------------------- !
	251	CALL iom_set_rstw_var_active('tilde_e3t_b')
	252	CALL iom_set_rstw_var_active('tilde_e3t_n')
	253	END IF
	254	! ! -------------!
	255	IF( ln_vvl_ztilde ) THEN ! z_tilde case !
	256	! ! ------------ !
	257	CALL iom_set_rstw_var_active('hdiv_lf')
	258	ENDIF
	259	!
	260	ENDIF
	261
[4292]	262	IF( nn_timing == 1 ) CALL timing_stop('dom_vvl_init')
[6140]	263	!
[4292]	264	END SUBROUTINE dom_vvl_init
	265
	266
[4338]	267	SUBROUTINE dom_vvl_sf_nxt( kt, kcall )
[4292]	268	!!----------------------------------------------------------------------
	269	!! * ROUTINE dom_vvl_sf_nxt *
	270	!!
	271	!! ** Purpose : - compute the after scale factors used in tra_zdf, dynnxt,
	272	!! tranxt and dynspg routines
	273	!!
	274	!! ** Method : - z_star case: Repartition of ssh INCREMENT proportionnaly to the level thickness.
	275	!! - z_tilde_case: after scale factor increment =
	276	!! high frequency part of horizontal divergence
	277	!! + retsoring towards the background grid
	278	!! + thickness difusion
	279	!! Then repartition of ssh INCREMENT proportionnaly
	280	!! to the "baroclinic" level thickness.
	281	!!
	282	!! ** Action : - hdiv_lf : restoring towards full baroclinic divergence in z_tilde case
	283	!! - tilde_e3t_a: after increment of vertical scale factor
	284	!! in z_tilde case
[6140]	285	!! - e3(t/u/v)_a
[4292]	286	!!
	287	!! Reference : Leclair, M., and Madec, G. 2011, Ocean Modelling.
	288	!!----------------------------------------------------------------------
[6140]	289	INTEGER, INTENT( in ) :: kt ! time step
	290	INTEGER, INTENT( in ), OPTIONAL :: kcall ! optional argument indicating call sequence
	291	!
	292	INTEGER :: ji, jj, jk ! dummy loop indices
	293	INTEGER , DIMENSION(3) :: ijk_max, ijk_min ! temporary integers
	294	REAL(wp) :: z2dt, z_tmin, z_tmax ! local scalars
	295	LOGICAL :: ll_do_bclinic ! local logical
	296	REAL(wp), POINTER, DIMENSION(:,:,:) :: ze3t
	297	REAL(wp), POINTER, DIMENSION(:,: ) :: zht, z_scale, zwu, zwv, zhdiv
[4292]	298	!!----------------------------------------------------------------------
[6140]	299	!
	300	IF( ln_linssh ) RETURN ! No calculation in linear free surface
	301	!
	302	IF( nn_timing == 1 ) CALL timing_start('dom_vvl_sf_nxt')
	303	!
	304	CALL wrk_alloc( jpi,jpj,zht, z_scale, zwu, zwv, zhdiv )
	305	CALL wrk_alloc( jpi,jpj,jpk, ze3t )
[4292]	306
[6140]	307	IF( kt == nit000 ) THEN
[4292]	308	IF(lwp) WRITE(numout,*)
	309	IF(lwp) WRITE(numout,*) 'dom_vvl_sf_nxt : compute after scale factors'
	310	IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~'
	311	ENDIF
	312
[4338]	313	ll_do_bclinic = .TRUE.
	314	IF( PRESENT(kcall) ) THEN
[6140]	315	IF( kcall == 2 .AND. ln_vvl_ztilde ) ll_do_bclinic = .FALSE.
[4338]	316	ENDIF
	317
[4292]	318	! ******************************* !
	319	! After acale factors at t-points !
	320	! ******************************* !
[4338]	321	! ! --------------------------------------------- !
[6140]	322	! ! z_star coordinate and barotropic z-tilde part !
[4338]	323	! ! --------------------------------------------- !
[6140]	324	!
[7753]	325	z_scale(:,:) = ( ssha(:,:) - sshb(:,:) ) * ssmask(:,:) / ( ht_0(:,:) + sshn(:,:) + 1. - ssmask(:,:) )
[4338]	326	DO jk = 1, jpkm1
[7753]	327	! formally this is the same as e3t_a = e3t_0*(1+ssha/ht_0)
	328	e3t_a(:,:,jk) = e3t_b(:,:,jk) + e3t_n(:,:,jk) * z_scale(:,:) * tmask(:,:,jk)
[4338]	329	END DO
[6140]	330	!
[4338]	331	IF( ln_vvl_ztilde .OR. ln_vvl_layer .AND. ll_do_bclinic ) THEN ! z_tilde or layer coordinate !
	332	! ! ------baroclinic part------ !
[4292]	333	! I - initialization
	334	! ==================
	335
	336	! 1 - barotropic divergence
	337	! -------------------------
[7753]	338	zhdiv(:,:) = 0._wp
	339	zht(:,:) = 0._wp
[4292]	340	DO jk = 1, jpkm1
[7753]	341	zhdiv(:,:) = zhdiv(:,:) + e3t_n(:,:,jk) * hdivn(:,:,jk)
	342	zht (:,:) = zht (:,:) + e3t_n(:,:,jk) * tmask(:,:,jk)
[592]	343	END DO
[7753]	344	zhdiv(:,:) = zhdiv(:,:) / ( zht(:,:) + 1. - tmask_i(:,:) )
[2528]	345
[4292]	346	! 2 - Low frequency baroclinic horizontal divergence (z-tilde case only)
	347	! --------------------------------------------------
	348	IF( ln_vvl_ztilde ) THEN
[6140]	349	IF( kt > nit000 ) THEN
[4292]	350	DO jk = 1, jpkm1
[7753]	351	hdiv_lf(:,:,jk) = hdiv_lf(:,:,jk) - rdt * frq_rst_hdv(:,:) &
	352	& * ( hdiv_lf(:,:,jk) - e3t_n(:,:,jk) * ( hdivn(:,:,jk) - zhdiv(:,:) ) )
[4292]	353	END DO
	354	ENDIF
[6140]	355	ENDIF
[3294]	356
[4292]	357	! II - after z_tilde increments of vertical scale factors
	358	! =======================================================
[7753]	359	tilde_e3t_a(:,:,:) = 0._wp ! tilde_e3t_a used to store tendency terms
[4292]	360
	361	! 1 - High frequency divergence term
	362	! ----------------------------------
	363	IF( ln_vvl_ztilde ) THEN ! z_tilde case
	364	DO jk = 1, jpkm1
[7753]	365	tilde_e3t_a(:,:,jk) = tilde_e3t_a(:,:,jk) - ( e3t_n(:,:,jk) * ( hdivn(:,:,jk) - zhdiv(:,:) ) - hdiv_lf(:,:,jk) )
[4292]	366	END DO
	367	ELSE ! layer case
	368	DO jk = 1, jpkm1
[7753]	369	tilde_e3t_a(:,:,jk) = tilde_e3t_a(:,:,jk) - e3t_n(:,:,jk) * ( hdivn(:,:,jk) - zhdiv(:,:) ) * tmask(:,:,jk)
[4292]	370	END DO
[6140]	371	ENDIF
[4292]	372
	373	! 2 - Restoring term (z-tilde case only)
	374	! ------------------
	375	IF( ln_vvl_ztilde ) THEN
	376	DO jk = 1, jpk
[7753]	377	tilde_e3t_a(:,:,jk) = tilde_e3t_a(:,:,jk) - frq_rst_e3t(:,:) * tilde_e3t_b(:,:,jk)
[4292]	378	END DO
[6140]	379	ENDIF
[4292]	380
	381	! 3 - Thickness diffusion term
	382	! ----------------------------
[7753]	383	zwu(:,:) = 0._wp
	384	zwv(:,:) = 0._wp
[6140]	385	DO jk = 1, jpkm1 ! a - first derivative: diffusive fluxes
[4292]	386	DO jj = 1, jpjm1
	387	DO ji = 1, fs_jpim1 ! vector opt.
[5836]	388	un_td(ji,jj,jk) = rn_ahe3 * umask(ji,jj,jk) * e2_e1u(ji,jj) &
	389	& * ( tilde_e3t_b(ji,jj,jk) - tilde_e3t_b(ji+1,jj ,jk) )
	390	vn_td(ji,jj,jk) = rn_ahe3 * vmask(ji,jj,jk) * e1_e2v(ji,jj) &
	391	& * ( tilde_e3t_b(ji,jj,jk) - tilde_e3t_b(ji ,jj+1,jk) )
[4292]	392	zwu(ji,jj) = zwu(ji,jj) + un_td(ji,jj,jk)
	393	zwv(ji,jj) = zwv(ji,jj) + vn_td(ji,jj,jk)
	394	END DO
	395	END DO
	396	END DO
[6140]	397	DO jj = 1, jpj ! b - correction for last oceanic u-v points
[4292]	398	DO ji = 1, jpi
	399	un_td(ji,jj,mbku(ji,jj)) = un_td(ji,jj,mbku(ji,jj)) - zwu(ji,jj)
	400	vn_td(ji,jj,mbkv(ji,jj)) = vn_td(ji,jj,mbkv(ji,jj)) - zwv(ji,jj)
	401	END DO
	402	END DO
[6140]	403	DO jk = 1, jpkm1 ! c - second derivative: divergence of diffusive fluxes
[4292]	404	DO jj = 2, jpjm1
	405	DO ji = fs_2, fs_jpim1 ! vector opt.
	406	tilde_e3t_a(ji,jj,jk) = tilde_e3t_a(ji,jj,jk) + ( un_td(ji-1,jj ,jk) - un_td(ji,jj,jk) &
	407	& + vn_td(ji ,jj-1,jk) - vn_td(ji,jj,jk) &
[5836]	408	& ) * r1_e1e2t(ji,jj)
[4292]	409	END DO
	410	END DO
	411	END DO
[6140]	412	! ! d - thickness diffusion transport: boundary conditions
	413	! (stored for tracer advction and continuity equation)
[4990]	414	CALL lbc_lnk( un_td , 'U' , -1._wp)
	415	CALL lbc_lnk( vn_td , 'V' , -1._wp)
[4292]	416
	417	! 4 - Time stepping of baroclinic scale factors
	418	! ---------------------------------------------
	419	! Leapfrog time stepping
	420	! ~~~~~~~~~~~~~~~~~~~~~~
	421	IF( neuler == 0 .AND. kt == nit000 ) THEN
	422	z2dt = rdt
	423	ELSE
	424	z2dt = 2.0_wp * rdt
	425	ENDIF
[4990]	426	CALL lbc_lnk( tilde_e3t_a(:,:,:), 'T', 1._wp )
[7753]	427	tilde_e3t_a(:,:,:) = tilde_e3t_b(:,:,:) + z2dt * tmask(:,:,:) * tilde_e3t_a(:,:,:)
[4292]	428
	429	! Maximum deformation control
	430	! ~~~~~~~~~~~~~~~~~~~~~~~~~~~
[7753]	431	ze3t(:,:,jpk) = 0._wp
[4292]	432	DO jk = 1, jpkm1
[7753]	433	ze3t(:,:,jk) = tilde_e3t_a(:,:,jk) / e3t_0(:,:,jk) * tmask(:,:,jk) * tmask_i(:,:)
[4292]	434	END DO
	435	z_tmax = MAXVAL( ze3t(:,:,:) )
	436	IF( lk_mpp ) CALL mpp_max( z_tmax ) ! max over the global domain
	437	z_tmin = MINVAL( ze3t(:,:,:) )
	438	IF( lk_mpp ) CALL mpp_min( z_tmin ) ! min over the global domain
	439	! - ML - test: for the moment, stop simulation for too large e3_t variations
[6140]	440	IF( ( z_tmax > rn_zdef_max ) .OR. ( z_tmin < - rn_zdef_max ) ) THEN
[4292]	441	IF( lk_mpp ) THEN
	442	CALL mpp_maxloc( ze3t, tmask, z_tmax, ijk_max(1), ijk_max(2), ijk_max(3) )
	443	CALL mpp_minloc( ze3t, tmask, z_tmin, ijk_min(1), ijk_min(2), ijk_min(3) )
	444	ELSE
	445	ijk_max = MAXLOC( ze3t(:,:,:) )
	446	ijk_max(1) = ijk_max(1) + nimpp - 1
	447	ijk_max(2) = ijk_max(2) + njmpp - 1
	448	ijk_min = MINLOC( ze3t(:,:,:) )
	449	ijk_min(1) = ijk_min(1) + nimpp - 1
	450	ijk_min(2) = ijk_min(2) + njmpp - 1
	451	ENDIF
	452	IF (lwp) THEN
	453	WRITE(numout, *) 'MAX( tilde_e3t_a(:,:,:) / e3t_0(:,:,:) ) =', z_tmax
	454	WRITE(numout, *) 'at i, j, k=', ijk_max
	455	WRITE(numout, *) 'MIN( tilde_e3t_a(:,:,:) / e3t_0(:,:,:) ) =', z_tmin
	456	WRITE(numout, *) 'at i, j, k=', ijk_min
	457	CALL ctl_warn('MAX( ABS( tilde_e3t_a(:,:,:) ) / e3t_0(:,:,:) ) too high')
	458	ENDIF
	459	ENDIF
	460	! - ML - end test
	461	! - ML - Imposing these limits will cause a baroclinicity error which is corrected for below
[7753]	462	tilde_e3t_a(:,:,:) = MIN( tilde_e3t_a(:,:,:), rn_zdef_max * e3t_0(:,:,:) )
	463	tilde_e3t_a(:,:,:) = MAX( tilde_e3t_a(:,:,:), - rn_zdef_max * e3t_0(:,:,:) )
[4292]	464
[4338]	465	!
	466	! "tilda" change in the after scale factor
[4292]	467	! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[4338]	468	DO jk = 1, jpkm1
[7753]	469	dtilde_e3t_a(:,:,jk) = tilde_e3t_a(:,:,jk) - tilde_e3t_b(:,:,jk)
[4338]	470	END DO
[4292]	471	! III - Barotropic repartition of the sea surface height over the baroclinic profile
	472	! ==================================================================================
[4338]	473	! add ( ssh increment + "baroclinicity error" ) proportionly to e3t(n)
[4292]	474	! - ML - baroclinicity error should be better treated in the future
	475	! i.e. locally and not spread over the water column.
	476	! (keep in mind that the idea is to reduce Eulerian velocity as much as possible)
[7753]	477	zht(:,:) = 0.
[4292]	478	DO jk = 1, jpkm1
[7753]	479	zht(:,:) = zht(:,:) + tilde_e3t_a(:,:,jk) * tmask(:,:,jk)
[4292]	480	END DO
[7753]	481	z_scale(:,:) = - zht(:,:) / ( ht_0(:,:) + sshn(:,:) + 1. - ssmask(:,:) )
[4292]	482	DO jk = 1, jpkm1
[7753]	483	dtilde_e3t_a(:,:,jk) = dtilde_e3t_a(:,:,jk) + e3t_n(:,:,jk) * z_scale(:,:) * tmask(:,:,jk)
[4292]	484	END DO
[7753]	485
[4292]	486	ENDIF
	487
[4338]	488	IF( ln_vvl_ztilde .OR. ln_vvl_layer ) THEN ! z_tilde or layer coordinate !
	489	! ! ---baroclinic part--------- !
	490	DO jk = 1, jpkm1
[7753]	491	e3t_a(:,:,jk) = e3t_a(:,:,jk) + dtilde_e3t_a(:,:,jk) * tmask(:,:,jk)
[4338]	492	END DO
	493	ENDIF
	494
	495	IF( ln_vvl_dbg .AND. .NOT. ll_do_bclinic ) THEN ! - ML - test: control prints for debuging
[4292]	496	!
	497	IF( lwp ) WRITE(numout, *) 'kt =', kt
	498	IF ( ln_vvl_ztilde .OR. ln_vvl_layer ) THEN
	499	z_tmax = MAXVAL( tmask(:,:,1) * tmask_i(:,:) * ABS( zht(:,:) ) )
	500	IF( lk_mpp ) CALL mpp_max( z_tmax ) ! max over the global domain
	501	IF( lwp ) WRITE(numout, *) kt,' MAXVAL(abs(SUM(tilde_e3t_a))) =', z_tmax
	502	END IF
	503	!
[7753]	504	zht(:,:) = 0.0_wp
[4292]	505	DO jk = 1, jpkm1
[7753]	506	zht(:,:) = zht(:,:) + e3t_n(:,:,jk) * tmask(:,:,jk)
[4292]	507	END DO
	508	z_tmax = MAXVAL( tmask(:,:,1) * tmask_i(:,:) * ABS( ht_0(:,:) + sshn(:,:) - zht(:,:) ) )
	509	IF( lk_mpp ) CALL mpp_max( z_tmax ) ! max over the global domain
[6140]	510	IF( lwp ) WRITE(numout, *) kt,' MAXVAL(abs(ht_0+sshn-SUM(e3t_n))) =', z_tmax
[4292]	511	!
[7753]	512	zht(:,:) = 0.0_wp
[4292]	513	DO jk = 1, jpkm1
[7753]	514	zht(:,:) = zht(:,:) + e3t_a(:,:,jk) * tmask(:,:,jk)
[4292]	515	END DO
	516	z_tmax = MAXVAL( tmask(:,:,1) * tmask_i(:,:) * ABS( ht_0(:,:) + ssha(:,:) - zht(:,:) ) )
	517	IF( lk_mpp ) CALL mpp_max( z_tmax ) ! max over the global domain
[6140]	518	IF( lwp ) WRITE(numout, *) kt,' MAXVAL(abs(ht_0+ssha-SUM(e3t_a))) =', z_tmax
[4292]	519	!
[7753]	520	zht(:,:) = 0.0_wp
[4292]	521	DO jk = 1, jpkm1
[7753]	522	zht(:,:) = zht(:,:) + e3t_b(:,:,jk) * tmask(:,:,jk)
[4292]	523	END DO
	524	z_tmax = MAXVAL( tmask(:,:,1) * tmask_i(:,:) * ABS( ht_0(:,:) + sshb(:,:) - zht(:,:) ) )
	525	IF( lk_mpp ) CALL mpp_max( z_tmax ) ! max over the global domain
[6140]	526	IF( lwp ) WRITE(numout, *) kt,' MAXVAL(abs(ht_0+sshb-SUM(e3t_b))) =', z_tmax
[4292]	527	!
	528	z_tmax = MAXVAL( tmask(:,:,1) * ABS( sshb(:,:) ) )
	529	IF( lk_mpp ) CALL mpp_max( z_tmax ) ! max over the global domain
	530	IF( lwp ) WRITE(numout, *) kt,' MAXVAL(abs(sshb))) =', z_tmax
	531	!
	532	z_tmax = MAXVAL( tmask(:,:,1) * ABS( sshn(:,:) ) )
	533	IF( lk_mpp ) CALL mpp_max( z_tmax ) ! max over the global domain
	534	IF( lwp ) WRITE(numout, *) kt,' MAXVAL(abs(sshn))) =', z_tmax
	535	!
	536	z_tmax = MAXVAL( tmask(:,:,1) * ABS( ssha(:,:) ) )
	537	IF( lk_mpp ) CALL mpp_max( z_tmax ) ! max over the global domain
	538	IF( lwp ) WRITE(numout, *) kt,' MAXVAL(abs(ssha))) =', z_tmax
	539	END IF
	540
	541	! *********************************** !
	542	! After scale factors at u- v- points !
	543	! *********************************** !
	544
[6140]	545	CALL dom_vvl_interpol( e3t_a(:,:,:), e3u_a(:,:,:), 'U' )
	546	CALL dom_vvl_interpol( e3t_a(:,:,:), e3v_a(:,:,:), 'V' )
[4292]	547
[4370]	548	! *********************************** !
	549	! After depths at u- v points !
	550	! *********************************** !
	551
[7753]	552	hu_a(:,:) = e3u_a(:,:,1) * umask(:,:,1)
	553	hv_a(:,:) = e3v_a(:,:,1) * vmask(:,:,1)
[6140]	554	DO jk = 2, jpkm1
[7753]	555	hu_a(:,:) = hu_a(:,:) + e3u_a(:,:,jk) * umask(:,:,jk)
	556	hv_a(:,:) = hv_a(:,:) + e3v_a(:,:,jk) * vmask(:,:,jk)
[4370]	557	END DO
	558	! ! Inverse of the local depth
[6140]	559	!!gm BUG ? don't understand the use of umask_i here .....
[7753]	560	r1_hu_a(:,:) = ssumask(:,:) / ( hu_a(:,:) + 1._wp - ssumask(:,:) )
	561	r1_hv_a(:,:) = ssvmask(:,:) / ( hv_a(:,:) + 1._wp - ssvmask(:,:) )
[6140]	562	!
	563	CALL wrk_dealloc( jpi,jpj, zht, z_scale, zwu, zwv, zhdiv )
	564	CALL wrk_dealloc( jpi,jpj,jpk, ze3t )
	565	!
[4386]	566	IF( nn_timing == 1 ) CALL timing_stop('dom_vvl_sf_nxt')
[6140]	567	!
[4292]	568	END SUBROUTINE dom_vvl_sf_nxt
	569
	570
	571	SUBROUTINE dom_vvl_sf_swp( kt )
[3294]	572	!!----------------------------------------------------------------------
[4292]	573	!! * ROUTINE dom_vvl_sf_swp *
[3294]	574	!!
[4292]	575	!! ** Purpose : compute time filter and swap of scale factors
	576	!! compute all depths and related variables for next time step
	577	!! write outputs and restart file
[3294]	578	!!
[4292]	579	!! ** Method : - swap of e3t with trick for volume/tracer conservation
	580	!! - reconstruct scale factor at other grid points (interpolate)
	581	!! - recompute depths and water height fields
	582	!!
[6140]	583	!! ** Action : - e3t_(b/n), tilde_e3t_(b/n) and e3(u/v)_n ready for next time step
[4292]	584	!! - Recompute:
[6140]	585	!! e3(u/v)_b
	586	!! e3w_n
	587	!! e3(u/v)w_b
	588	!! e3(u/v)w_n
	589	!! gdept_n, gdepw_n and gde3w_n
[4292]	590	!! h(u/v) and h(u/v)r
	591	!!
	592	!! Reference : Leclair, M., and G. Madec, 2009, Ocean Modelling.
	593	!! Leclair, M., and G. Madec, 2011, Ocean Modelling.
[3294]	594	!!----------------------------------------------------------------------
[6140]	595	INTEGER, INTENT( in ) :: kt ! time step
	596	!
	597	INTEGER :: ji, jj, jk ! dummy loop indices
	598	REAL(wp) :: zcoef ! local scalar
[3294]	599	!!----------------------------------------------------------------------
[6140]	600	!
	601	IF( ln_linssh ) RETURN ! No calculation in linear free surface
	602	!
[4292]	603	IF( nn_timing == 1 ) CALL timing_start('dom_vvl_sf_swp')
[3294]	604	!
[4292]	605	IF( kt == nit000 ) THEN
	606	IF(lwp) WRITE(numout,*)
	607	IF(lwp) WRITE(numout,*) 'dom_vvl_sf_swp : - time filter and swap of scale factors'
	608	IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~ - interpolate scale factors and compute depths for next time step'
[3294]	609	ENDIF
[4292]	610	!
	611	! Time filter and swap of scale factors
	612	! =====================================
[6140]	613	! - ML - e3(t/u/v)_b are allready computed in dynnxt.
[4292]	614	IF( ln_vvl_ztilde .OR. ln_vvl_layer ) THEN
	615	IF( neuler == 0 .AND. kt == nit000 ) THEN
[7753]	616	tilde_e3t_b(:,:,:) = tilde_e3t_n(:,:,:)
[4292]	617	ELSE
[7753]	618	tilde_e3t_b(:,:,:) = tilde_e3t_n(:,:,:) &
	619	& + atfp * ( tilde_e3t_b(:,:,:) - 2.0_wp * tilde_e3t_n(:,:,:) + tilde_e3t_a(:,:,:) )
[4292]	620	ENDIF
[7753]	621	tilde_e3t_n(:,:,:) = tilde_e3t_a(:,:,:)
[4292]	622	ENDIF
[7753]	623	gdept_b(:,:,:) = gdept_n(:,:,:)
	624	gdepw_b(:,:,:) = gdepw_n(:,:,:)
[4488]	625
[7753]	626	e3t_n(:,:,:) = e3t_a(:,:,:)
	627	e3u_n(:,:,:) = e3u_a(:,:,:)
	628	e3v_n(:,:,:) = e3v_a(:,:,:)
	629
[4292]	630	! Compute all missing vertical scale factor and depths
	631	! ====================================================
	632	! Horizontal scale factor interpolations
	633	! --------------------------------------
[6140]	634	! - ML - e3u_b and e3v_b are allready computed in dynnxt
[4370]	635	! - JC - hu_b, hv_b, hur_b, hvr_b also
[6140]	636
	637	CALL dom_vvl_interpol( e3u_n(:,:,:), e3f_n(:,:,:), 'F' )
	638
[4292]	639	! Vertical scale factor interpolations
[6140]	640	CALL dom_vvl_interpol( e3t_n(:,:,:), e3w_n(:,:,:), 'W' )
	641	CALL dom_vvl_interpol( e3u_n(:,:,:), e3uw_n(:,:,:), 'UW' )
	642	CALL dom_vvl_interpol( e3v_n(:,:,:), e3vw_n(:,:,:), 'VW' )
	643	CALL dom_vvl_interpol( e3t_b(:,:,:), e3w_b(:,:,:), 'W' )
	644	CALL dom_vvl_interpol( e3u_b(:,:,:), e3uw_b(:,:,:), 'UW' )
	645	CALL dom_vvl_interpol( e3v_b(:,:,:), e3vw_b(:,:,:), 'VW' )
[5120]	646
[6140]	647	! t- and w- points depth (set the isf depth as it is in the initial step)
[7753]	648	gdept_n(:,:,1) = 0.5_wp * e3w_n(:,:,1)
	649	gdepw_n(:,:,1) = 0.0_wp
	650	gde3w_n(:,:,1) = gdept_n(:,:,1) - sshn(:,:)
[5120]	651	DO jk = 2, jpk
	652	DO jj = 1,jpj
	653	DO ji = 1,jpi
	654	! zcoef = (tmask(ji,jj,jk) - wmask(ji,jj,jk)) ! 0 everywhere tmask = wmask, ie everywhere expect at jk = mikt
	655	! 1 for jk = mikt
	656	zcoef = (tmask(ji,jj,jk) - wmask(ji,jj,jk))
[6140]	657	gdepw_n(ji,jj,jk) = gdepw_n(ji,jj,jk-1) + e3t_n(ji,jj,jk-1)
	658	gdept_n(ji,jj,jk) = zcoef * ( gdepw_n(ji,jj,jk ) + 0.5 * e3w_n(ji,jj,jk) ) &
	659	& + (1-zcoef) * ( gdept_n(ji,jj,jk-1) + e3w_n(ji,jj,jk) )
	660	gde3w_n(ji,jj,jk) = gdept_n(ji,jj,jk) - sshn(ji,jj)
[4990]	661	END DO
	662	END DO
[4292]	663	END DO
[5120]	664
[6140]	665	! Local depth and Inverse of the local depth of the water
	666	! -------------------------------------------------------
[7753]	667	hu_n(:,:) = hu_a(:,:) ; r1_hu_n(:,:) = r1_hu_a(:,:)
	668	hv_n(:,:) = hv_a(:,:) ; r1_hv_n(:,:) = r1_hv_a(:,:)
	669	!
	670	ht_n(:,:) = e3t_n(:,:,1) * tmask(:,:,1)
[6140]	671	DO jk = 2, jpkm1
[7753]	672	ht_n(:,:) = ht_n(:,:) + e3t_n(:,:,jk) * tmask(:,:,jk)
[4370]	673	END DO
[7753]	674
[4292]	675	! write restart file
	676	! ==================
[6140]	677	IF( lrst_oce ) CALL dom_vvl_rst( kt, 'WRITE' )
[4292]	678	!
[6140]	679	IF( nn_timing == 1 ) CALL timing_stop('dom_vvl_sf_swp')
	680	!
[4292]	681	END SUBROUTINE dom_vvl_sf_swp
	682
	683
	684	SUBROUTINE dom_vvl_interpol( pe3_in, pe3_out, pout )
	685	!!---------------------------------------------------------------------
	686	!! * ROUTINE dom_vvl__interpol *
	687	!!
	688	!! ** Purpose : interpolate scale factors from one grid point to another
	689	!!
	690	!! ** Method : e3_out = e3_0 + interpolation(e3_in - e3_0)
	691	!! - horizontal interpolation: grid cell surface averaging
	692	!! - vertical interpolation: simple averaging
	693	!!----------------------------------------------------------------------
[5836]	694	REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pe3_in ! input e3 to be interpolated
	695	REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pe3_out ! output interpolated e3
	696	CHARACTER(LEN=*) , INTENT(in ) :: pout ! grid point of out scale factors
	697	! ! = 'U', 'V', 'W, 'F', 'UW' or 'VW'
	698	!
[6152]	699	INTEGER :: ji, jj, jk ! dummy loop indices
[8985]	700	REAL(wp) :: zlnwd ! =1./0. when ln_wd_il = T/F
[4292]	701	!!----------------------------------------------------------------------
[5836]	702	!
[6140]	703	IF( nn_timing == 1 ) CALL timing_start('dom_vvl_interpol')
[5836]	704	!
[8985]	705	IF(ln_wd_il) THEN
[6152]	706	zlnwd = 1.0_wp
	707	ELSE
	708	zlnwd = 0.0_wp
	709	END IF
	710	!
[5836]	711	SELECT CASE ( pout ) !== type of interpolation ==!
[4292]	712	!
[5836]	713	CASE( 'U' ) !* from T- to U-point : hor. surface weighted mean
[4292]	714	DO jk = 1, jpk
	715	DO jj = 1, jpjm1
	716	DO ji = 1, fs_jpim1 ! vector opt.
[6152]	717	pe3_out(ji,jj,jk) = 0.5_wp * ( umask(ji,jj,jk) * (1.0_wp - zlnwd) + zlnwd ) * r1_e1e2u(ji,jj) &
[5836]	718	& * ( e1e2t(ji ,jj) * ( pe3_in(ji ,jj,jk) - e3t_0(ji ,jj,jk) ) &
	719	& + e1e2t(ji+1,jj) * ( pe3_in(ji+1,jj,jk) - e3t_0(ji+1,jj,jk) ) )
[4292]	720	END DO
[2528]	721	END DO
	722	END DO
[4990]	723	CALL lbc_lnk( pe3_out(:,:,:), 'U', 1._wp )
[7753]	724	pe3_out(:,:,:) = pe3_out(:,:,:) + e3u_0(:,:,:)
[5836]	725	!
	726	CASE( 'V' ) !* from T- to V-point : hor. surface weighted mean
[4292]	727	DO jk = 1, jpk
	728	DO jj = 1, jpjm1
	729	DO ji = 1, fs_jpim1 ! vector opt.
[6152]	730	pe3_out(ji,jj,jk) = 0.5_wp * ( vmask(ji,jj,jk) * (1.0_wp - zlnwd) + zlnwd ) * r1_e1e2v(ji,jj) &
[5836]	731	& * ( e1e2t(ji,jj ) * ( pe3_in(ji,jj ,jk) - e3t_0(ji,jj ,jk) ) &
	732	& + e1e2t(ji,jj+1) * ( pe3_in(ji,jj+1,jk) - e3t_0(ji,jj+1,jk) ) )
[4292]	733	END DO
	734	END DO
	735	END DO
[4990]	736	CALL lbc_lnk( pe3_out(:,:,:), 'V', 1._wp )
[7753]	737	pe3_out(:,:,:) = pe3_out(:,:,:) + e3v_0(:,:,:)
[5836]	738	!
	739	CASE( 'F' ) !* from U-point to F-point : hor. surface weighted mean
[4292]	740	DO jk = 1, jpk
	741	DO jj = 1, jpjm1
	742	DO ji = 1, fs_jpim1 ! vector opt.
[6152]	743	pe3_out(ji,jj,jk) = 0.5_wp * ( umask(ji,jj,jk) * umask(ji,jj+1,jk) * (1.0_wp - zlnwd) + zlnwd ) &
	744	& * r1_e1e2f(ji,jj) &
[5836]	745	& * ( e1e2u(ji,jj ) * ( pe3_in(ji,jj ,jk) - e3u_0(ji,jj ,jk) ) &
	746	& + e1e2u(ji,jj+1) * ( pe3_in(ji,jj+1,jk) - e3u_0(ji,jj+1,jk) ) )
[4292]	747	END DO
	748	END DO
	749	END DO
[4990]	750	CALL lbc_lnk( pe3_out(:,:,:), 'F', 1._wp )
[7753]	751	pe3_out(:,:,:) = pe3_out(:,:,:) + e3f_0(:,:,:)
[5836]	752	!
	753	CASE( 'W' ) !* from T- to W-point : vertical simple mean
	754	!
[7753]	755	pe3_out(:,:,1) = e3w_0(:,:,1) + pe3_in(:,:,1) - e3t_0(:,:,1)
[5836]	756	! - ML - The use of mask in this formulea enables the special treatment of the last w-point without indirect adressing
	757	!!gm BUG? use here wmask in case of ISF ? to be checked
[4292]	758	DO jk = 2, jpk
[7753]	759	pe3_out(:,:,jk) = e3w_0(:,:,jk) + ( 1.0_wp - 0.5_wp * ( tmask(:,:,jk) * (1.0_wp - zlnwd) + zlnwd ) ) &
	760	& * ( pe3_in(:,:,jk-1) - e3t_0(:,:,jk-1) ) &
	761	& + 0.5_wp * ( tmask(:,:,jk) * (1.0_wp - zlnwd) + zlnwd ) &
	762	& * ( pe3_in(:,:,jk ) - e3t_0(:,:,jk ) )
[4292]	763	END DO
[5836]	764	!
	765	CASE( 'UW' ) !* from U- to UW-point : vertical simple mean
	766	!
[7753]	767	pe3_out(:,:,1) = e3uw_0(:,:,1) + pe3_in(:,:,1) - e3u_0(:,:,1)
[4292]	768	! - ML - The use of mask in this formaula enables the special treatment of the last w- point without indirect adressing
[5836]	769	!!gm BUG? use here wumask in case of ISF ? to be checked
[4292]	770	DO jk = 2, jpk
[7753]	771	pe3_out(:,:,jk) = e3uw_0(:,:,jk) + ( 1.0_wp - 0.5_wp * ( umask(:,:,jk) * (1.0_wp - zlnwd) + zlnwd ) ) &
	772	& * ( pe3_in(:,:,jk-1) - e3u_0(:,:,jk-1) ) &
	773	& + 0.5_wp * ( umask(:,:,jk) * (1.0_wp - zlnwd) + zlnwd ) &
	774	& * ( pe3_in(:,:,jk ) - e3u_0(:,:,jk ) )
[4292]	775	END DO
[5836]	776	!
	777	CASE( 'VW' ) !* from V- to VW-point : vertical simple mean
	778	!
[7753]	779	pe3_out(:,:,1) = e3vw_0(:,:,1) + pe3_in(:,:,1) - e3v_0(:,:,1)
[4292]	780	! - ML - The use of mask in this formaula enables the special treatment of the last w- point without indirect adressing
[5836]	781	!!gm BUG? use here wvmask in case of ISF ? to be checked
[4292]	782	DO jk = 2, jpk
[7753]	783	pe3_out(:,:,jk) = e3vw_0(:,:,jk) + ( 1.0_wp - 0.5_wp * ( vmask(:,:,jk) * (1.0_wp - zlnwd) + zlnwd ) ) &
	784	& * ( pe3_in(:,:,jk-1) - e3v_0(:,:,jk-1) ) &
	785	& + 0.5_wp * ( vmask(:,:,jk) * (1.0_wp - zlnwd) + zlnwd ) &
	786	& * ( pe3_in(:,:,jk ) - e3v_0(:,:,jk ) )
[4292]	787	END DO
	788	END SELECT
	789	!
[6140]	790	IF( nn_timing == 1 ) CALL timing_stop('dom_vvl_interpol')
[5836]	791	!
[4292]	792	END SUBROUTINE dom_vvl_interpol
	793
[5836]	794
[4292]	795	SUBROUTINE dom_vvl_rst( kt, cdrw )
	796	!!---------------------------------------------------------------------
	797	!! * ROUTINE dom_vvl_rst *
	798	!!
	799	!! ** Purpose : Read or write VVL file in restart file
	800	!!
	801	!! ** Method : use of IOM library
	802	!! if the restart does not contain vertical scale factors,
	803	!! they are set to the _0 values
	804	!! if the restart does not contain vertical scale factors increments (z_tilde),
	805	!! they are set to 0.
	806	!!----------------------------------------------------------------------
	807	INTEGER , INTENT(in) :: kt ! ocean time-step
	808	CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag
[5836]	809	!
[6152]	810	INTEGER :: ji, jj, jk
[4292]	811	INTEGER :: id1, id2, id3, id4, id5 ! local integers
	812	!!----------------------------------------------------------------------
	813	!
	814	IF( nn_timing == 1 ) CALL timing_start('dom_vvl_rst')
	815	IF( TRIM(cdrw) == 'READ' ) THEN ! Read/initialise
	816	! ! ===============
	817	IF( ln_rstart ) THEN !* Read the restart file
	818	CALL rst_read_open ! open the restart file if necessary
[8987]	819	CALL iom_get( numror, jpdom_autoglo, 'sshn' , sshn, ldxios = lrxios )
[4366]	820	!
[6140]	821	id1 = iom_varid( numror, 'e3t_b', ldstop = .FALSE. )
	822	id2 = iom_varid( numror, 'e3t_n', ldstop = .FALSE. )
[4292]	823	id3 = iom_varid( numror, 'tilde_e3t_b', ldstop = .FALSE. )
	824	id4 = iom_varid( numror, 'tilde_e3t_n', ldstop = .FALSE. )
[4795]	825	id5 = iom_varid( numror, 'hdiv_lf', ldstop = .FALSE. )
[4292]	826	! ! --------- !
	827	! ! all cases !
	828	! ! --------- !
	829	IF( MIN( id1, id2 ) > 0 ) THEN ! all required arrays exist
[8987]	830	CALL iom_get( numror, jpdom_autoglo, 'e3t_b', e3t_b(:,:,:), ldxios = lrxios )
	831	CALL iom_get( numror, jpdom_autoglo, 'e3t_n', e3t_n(:,:,:), ldxios = lrxios )
[4990]	832	! needed to restart if land processor not computed
[6140]	833	IF(lwp) write(numout,*) 'dom_vvl_rst : e3t_b and e3t_n found in restart files'
[4990]	834	WHERE ( tmask(:,:,:) == 0.0_wp )
[6140]	835	e3t_n(:,:,:) = e3t_0(:,:,:)
	836	e3t_b(:,:,:) = e3t_0(:,:,:)
[4990]	837	END WHERE
[4292]	838	IF( neuler == 0 ) THEN
[6140]	839	e3t_b(:,:,:) = e3t_n(:,:,:)
[4292]	840	ENDIF
	841	ELSE IF( id1 > 0 ) THEN
[6140]	842	IF(lwp) write(numout,*) 'dom_vvl_rst WARNING : e3t_n not found in restart files'
	843	IF(lwp) write(numout,*) 'e3t_n set equal to e3t_b.'
[4990]	844	IF(lwp) write(numout,*) 'neuler is forced to 0'
[8987]	845	CALL iom_get( numror, jpdom_autoglo, 'e3t_b', e3t_b(:,:,:), ldxios = lrxios )
[6140]	846	e3t_n(:,:,:) = e3t_b(:,:,:)
[4990]	847	neuler = 0
	848	ELSE IF( id2 > 0 ) THEN
[6140]	849	IF(lwp) write(numout,*) 'dom_vvl_rst WARNING : e3t_b not found in restart files'
	850	IF(lwp) write(numout,*) 'e3t_b set equal to e3t_n.'
[4490]	851	IF(lwp) write(numout,*) 'neuler is forced to 0'
[8987]	852	CALL iom_get( numror, jpdom_autoglo, 'e3t_n', e3t_n(:,:,:), ldxios = lrxios )
[6140]	853	e3t_b(:,:,:) = e3t_n(:,:,:)
[4490]	854	neuler = 0
	855	ELSE
[6140]	856	IF(lwp) write(numout,*) 'dom_vvl_rst WARNING : e3t_n not found in restart file'
[4490]	857	IF(lwp) write(numout,*) 'Compute scale factor from sshn'
	858	IF(lwp) write(numout,*) 'neuler is forced to 0'
[6140]	859	DO jk = 1, jpk
	860	e3t_n(:,:,jk) = e3t_0(:,:,jk) * ( ht_0(:,:) + sshn(:,:) ) &
	861	& / ( ht_0(:,:) + 1._wp - ssmask(:,:) ) * tmask(:,:,jk) &
	862	& + e3t_0(:,:,jk) * (1._wp -tmask(:,:,jk))
[4490]	863	END DO
[6140]	864	e3t_b(:,:,:) = e3t_n(:,:,:)
[4490]	865	neuler = 0
[4292]	866	ENDIF
	867	! ! ----------- !
	868	IF( ln_vvl_zstar ) THEN ! z_star case !
	869	! ! ----------- !
	870	IF( MIN( id3, id4 ) > 0 ) THEN
	871	CALL ctl_stop( 'dom_vvl_rst: z_star cannot restart from a z_tilde or layer run' )
	872	ENDIF
	873	! ! ----------------------- !
	874	ELSE ! z_tilde and layer cases !
	875	! ! ----------------------- !
	876	IF( MIN( id3, id4 ) > 0 ) THEN ! all required arrays exist
[8987]	877	CALL iom_get( numror, jpdom_autoglo, 'tilde_e3t_b', tilde_e3t_b(:,:,:), ldxios = lrxios )
	878	CALL iom_get( numror, jpdom_autoglo, 'tilde_e3t_n', tilde_e3t_n(:,:,:), ldxios = lrxios )
[4292]	879	ELSE ! one at least array is missing
	880	tilde_e3t_b(:,:,:) = 0.0_wp
	881	tilde_e3t_n(:,:,:) = 0.0_wp
	882	ENDIF
	883	! ! ------------ !
	884	IF( ln_vvl_ztilde ) THEN ! z_tilde case !
	885	! ! ------------ !
	886	IF( id5 > 0 ) THEN ! required array exists
[8987]	887	CALL iom_get( numror, jpdom_autoglo, 'hdiv_lf', hdiv_lf(:,:,:), ldxios = lrxios )
[4292]	888	ELSE ! array is missing
	889	hdiv_lf(:,:,:) = 0.0_wp
	890	ENDIF
	891	ENDIF
	892	ENDIF
	893	!
	894	ELSE !* Initialize at "rest"
[7646]	895	!
[8985]	896
	897	IF( ll_wd ) THEN ! MJB ll_wd edits start here - these are essential
	898	!
	899	IF( cn_cfg == 'wad' ) THEN
	900	! Wetting and drying test case
	901	CALL usr_def_istate( gdept_b, tmask, tsb, ub, vb, sshb )
	902	tsn (:,:,:,:) = tsb (:,:,:,:) ! set now values from to before ones
	903	sshn (:,:) = sshb(:,:)
	904	un (:,:,:) = ub (:,:,:)
	905	vn (:,:,:) = vb (:,:,:)
	906	ELSE
	907	! if not test case
	908	sshn(:,:) = -ssh_ref
	909	sshb(:,:) = -ssh_ref
	910
	911	DO jj = 1, jpj
	912	DO ji = 1, jpi
	913	IF( ht_0(ji,jj)-ssh_ref < rn_wdmin1 ) THEN ! if total depth is less than min depth
	914
	915	sshb(ji,jj) = rn_wdmin1 - (ht_0(ji,jj) )
	916	sshn(ji,jj) = rn_wdmin1 - (ht_0(ji,jj) )
	917	ssha(ji,jj) = rn_wdmin1 - (ht_0(ji,jj) )
	918	ENDIF
	919	ENDDO
	920	ENDDO
	921	ENDIF !If test case else
	922
	923	! Adjust vertical metrics for all wad
[7646]	924	DO jk = 1, jpk
[8985]	925	e3t_n(:,:,jk) = e3t_0(:,:,jk) * ( ht_0(:,:) + sshn(:,:) ) &
[7646]	926	& / ( ht_0(:,:) + 1._wp - ssmask(:,:) ) * tmask(:,:,jk) &
[8985]	927	& + e3t_0(:,:,jk) * ( 1._wp - tmask(:,:,jk) )
[7646]	928	END DO
	929	e3t_b(:,:,:) = e3t_n(:,:,:)
[8985]	930
	931	DO ji = 1, jpi
	932	DO jj = 1, jpj
	933	IF ( ht_0(ji,jj) .LE. 0.0 .AND. NINT( ssmask(ji,jj) ) .EQ. 1) THEN
	934	CALL ctl_stop( 'dom_vvl_rst: ht_0 must be positive at potentially wet points' )
	935	ENDIF
	936	END DO
	937	END DO
	938
[7646]	939	!
	940	ELSE
	941	!
	942	e3t_b(:,:,:) = e3t_0(:,:,:)
	943	e3t_n(:,:,:) = e3t_0(:,:,:)
	944	sshn(:,:) = 0.0_wp
	945	!
[8985]	946	END IF ! end of ll_wd edits
[6152]	947
[4292]	948	IF( ln_vvl_ztilde .OR. ln_vvl_layer) THEN
[7646]	949	tilde_e3t_b(:,:,:) = 0._wp
	950	tilde_e3t_n(:,:,:) = 0._wp
	951	IF( ln_vvl_ztilde ) hdiv_lf(:,:,:) = 0._wp
[4292]	952	END IF
	953	ENDIF
[5836]	954	!
[4292]	955	ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN ! Create restart file
	956	! ! ===================
	957	IF(lwp) WRITE(numout,*) '---- dom_vvl_rst ----'
[8987]	958	IF( lwxios ) CALL iom_swap( cwxios_context )
[4292]	959	! ! --------- !
	960	! ! all cases !
	961	! ! --------- !
[8987]	962	CALL iom_rstput( kt, nitrst, numrow, 'e3t_b', e3t_b(:,:,:), ldxios = lwxios )
	963	CALL iom_rstput( kt, nitrst, numrow, 'e3t_n', e3t_n(:,:,:), ldxios = lwxios )
[4292]	964	! ! ----------------------- !
	965	IF( ln_vvl_ztilde .OR. ln_vvl_layer ) THEN ! z_tilde and layer cases !
	966	! ! ----------------------- !
[8987]	967	CALL iom_rstput( kt, nitrst, numrow, 'tilde_e3t_b', tilde_e3t_b(:,:,:), ldxios = lwxios)
	968	CALL iom_rstput( kt, nitrst, numrow, 'tilde_e3t_n', tilde_e3t_n(:,:,:), ldxios = lwxios)
[4292]	969	END IF
	970	! ! -------------!
	971	IF( ln_vvl_ztilde ) THEN ! z_tilde case !
	972	! ! ------------ !
[8987]	973	CALL iom_rstput( kt, nitrst, numrow, 'hdiv_lf', hdiv_lf(:,:,:), ldxios = lwxios)
[4292]	974	ENDIF
[5836]	975	!
[8987]	976	IF( lwxios ) CALL iom_swap( cxios_context )
[4292]	977	ENDIF
[5836]	978	!
[4292]	979	IF( nn_timing == 1 ) CALL timing_stop('dom_vvl_rst')
[5836]	980	!
[4292]	981	END SUBROUTINE dom_vvl_rst
	982
	983
	984	SUBROUTINE dom_vvl_ctl
	985	!!---------------------------------------------------------------------
	986	!! * ROUTINE dom_vvl_ctl *
	987	!!
	988	!! ** Purpose : Control the consistency between namelist options
	989	!! for vertical coordinate
	990	!!----------------------------------------------------------------------
[5836]	991	INTEGER :: ioptio, ios
	992	!!
[4292]	993	NAMELIST/nam_vvl/ ln_vvl_zstar, ln_vvl_ztilde, ln_vvl_layer, ln_vvl_ztilde_as_zstar, &
[5836]	994	& ln_vvl_zstar_at_eqtor , rn_ahe3 , rn_rst_e3t , &
	995	& rn_lf_cutoff , rn_zdef_max , ln_vvl_dbg ! not yet implemented: ln_vvl_kepe
[4292]	996	!!----------------------------------------------------------------------
[5836]	997	!
[4294]	998	REWIND( numnam_ref ) ! Namelist nam_vvl in reference namelist :
	999	READ ( numnam_ref, nam_vvl, IOSTAT = ios, ERR = 901)
	1000	901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'nam_vvl in reference namelist', lwp )
[5836]	1001	!
[4294]	1002	REWIND( numnam_cfg ) ! Namelist nam_vvl in configuration namelist : Parameters of the run
	1003	READ ( numnam_cfg, nam_vvl, IOSTAT = ios, ERR = 902 )
	1004	902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'nam_vvl in configuration namelist', lwp )
[4624]	1005	IF(lwm) WRITE ( numond, nam_vvl )
[5836]	1006	!
[4292]	1007	IF(lwp) THEN ! Namelist print
	1008	WRITE(numout,*)
	1009	WRITE(numout,*) 'dom_vvl_ctl : choice/control of the variable vertical coordinate'
	1010	WRITE(numout,*) '~~~~~~~~~~~'
	1011	WRITE(numout,*) ' Namelist nam_vvl : chose a vertical coordinate'
	1012	WRITE(numout,*) ' zstar ln_vvl_zstar = ', ln_vvl_zstar
	1013	WRITE(numout,*) ' ztilde ln_vvl_ztilde = ', ln_vvl_ztilde
	1014	WRITE(numout,*) ' layer ln_vvl_layer = ', ln_vvl_layer
	1015	WRITE(numout,*) ' ztilde as zstar ln_vvl_ztilde_as_zstar = ', ln_vvl_ztilde_as_zstar
	1016	WRITE(numout,*) ' ztilde near the equator ln_vvl_zstar_at_eqtor = ', ln_vvl_zstar_at_eqtor
	1017	! WRITE(numout,*) ' Namelist nam_vvl : chose kinetic-to-potential energy conservation'
	1018	! WRITE(numout,*) ' ln_vvl_kepe = ', ln_vvl_kepe
	1019	WRITE(numout,*) ' Namelist nam_vvl : thickness diffusion coefficient'
	1020	WRITE(numout,*) ' rn_ahe3 = ', rn_ahe3
	1021	WRITE(numout,*) ' Namelist nam_vvl : maximum e3t deformation fractional change'
	1022	WRITE(numout,*) ' rn_zdef_max = ', rn_zdef_max
	1023	IF( ln_vvl_ztilde_as_zstar ) THEN
	1024	WRITE(numout,*) ' ztilde running in zstar emulation mode; '
	1025	WRITE(numout,*) ' ignoring namelist timescale parameters and using:'
	1026	WRITE(numout,*) ' hard-wired : z-tilde to zstar restoration timescale (days)'
	1027	WRITE(numout,*) ' rn_rst_e3t = 0.0'
	1028	WRITE(numout,*) ' hard-wired : z-tilde cutoff frequency of low-pass filter (days)'
	1029	WRITE(numout,*) ' rn_lf_cutoff = 1.0/rdt'
	1030	ELSE
	1031	WRITE(numout,*) ' Namelist nam_vvl : z-tilde to zstar restoration timescale (days)'
	1032	WRITE(numout,*) ' rn_rst_e3t = ', rn_rst_e3t
	1033	WRITE(numout,*) ' Namelist nam_vvl : z-tilde cutoff frequency of low-pass filter (days)'
	1034	WRITE(numout,*) ' rn_lf_cutoff = ', rn_lf_cutoff
	1035	ENDIF
	1036	WRITE(numout,*) ' Namelist nam_vvl : debug prints'
	1037	WRITE(numout,*) ' ln_vvl_dbg = ', ln_vvl_dbg
	1038	ENDIF
[5836]	1039	!
[4292]	1040	ioptio = 0 ! Parameter control
[5836]	1041	IF( ln_vvl_ztilde_as_zstar ) ln_vvl_ztilde = .true.
	1042	IF( ln_vvl_zstar ) ioptio = ioptio + 1
	1043	IF( ln_vvl_ztilde ) ioptio = ioptio + 1
	1044	IF( ln_vvl_layer ) ioptio = ioptio + 1
	1045	!
[4292]	1046	IF( ioptio /= 1 ) CALL ctl_stop( 'Choose ONE vertical coordinate in namelist nam_vvl' )
[6140]	1047	IF( .NOT. ln_vvl_zstar .AND. ln_isf ) CALL ctl_stop( 'Only vvl_zstar has been tested with ice shelf cavity' )
[5836]	1048	!
[4292]	1049	IF(lwp) THEN ! Print the choice
	1050	WRITE(numout,*)
	1051	IF( ln_vvl_zstar ) WRITE(numout,*) ' zstar vertical coordinate is used'
	1052	IF( ln_vvl_ztilde ) WRITE(numout,*) ' ztilde vertical coordinate is used'
	1053	IF( ln_vvl_layer ) WRITE(numout,*) ' layer vertical coordinate is used'
	1054	IF( ln_vvl_ztilde_as_zstar ) WRITE(numout,*) ' to emulate a zstar coordinate'
	1055	! - ML - Option not developed yet
	1056	! IF( ln_vvl_kepe ) WRITE(numout,*) ' kinetic to potential energy transfer : option used'
	1057	! IF( .NOT. ln_vvl_kepe ) WRITE(numout,*) ' kinetic to potential energy transfer : option not used'
	1058	ENDIF
[5836]	1059	!
[4486]	1060	#if defined key_agrif
[6140]	1061	IF(.NOT.Agrif_Root() ) CALL ctl_stop( 'AGRIF not implemented with non-linear free surface' )
[4486]	1062	#endif
[5836]	1063	!
[4292]	1064	END SUBROUTINE dom_vvl_ctl
	1065
[592]	1066	!!======================================================================
	1067	END MODULE domvvl

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