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dynspg_ts.F90 in branches/2016/dev_INGV_UKMO_2016/NEMOGCM/NEMO/OPA_SRC/DYN – NEMO

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source: branches/2016/dev_INGV_UKMO_2016/NEMOGCM/NEMO/OPA_SRC/DYN/dynspg_ts.F90 @ 7351

Last change on this file since 7351 was 7351, checked in by emanuelaclementi, 7 years ago
ticket #1805 step 3: /2016/dev_INGV_UKMO_2016 aligned to the trunk at revision 7161
Property svn:keywords set to `Id`
File size: 62.3 KB

Rev	Line
[358]	1	MODULE dynspg_ts
	2	!!======================================================================
[7351]	3	!! * MODULE dynspg_ts *
	4	!! Ocean dynamics: surface pressure gradient trend, split-explicit scheme
	5	!!======================================================================
[1502]	6	!! History : 1.0 ! 2004-12 (L. Bessieres, G. Madec) Original code
	7	!! - ! 2005-11 (V. Garnier, G. Madec) optimization
	8	!! - ! 2006-08 (S. Masson) distributed restart using iom
	9	!! 2.0 ! 2007-07 (D. Storkey) calls to BDY routines
	10	!! - ! 2008-01 (R. Benshila) change averaging method
	11	!! 3.2 ! 2009-07 (R. Benshila, G. Madec) Complete revisit associated to vvl reactivation
[2528]	12	!! 3.3 ! 2010-09 (D. Storkey, E. O'Dea) update for BDY for Shelf configurations
[2724]	13	!! 3.3 ! 2011-03 (R. Benshila, R. Hordoir, P. Oddo) update calculation of ub_b
[4292]	14	!! 3.5 ! 2013-07 (J. Chanut) Switch to Forward-backward time stepping
	15	!! 3.6 ! 2013-11 (A. Coward) Update for z-tilde compatibility
[5930]	16	!! 3.7 ! 2015-11 (J. Chanut) free surface simplification
[2724]	17	!!---------------------------------------------------------------------
[7351]	18
[358]	19	!!----------------------------------------------------------------------
[7351]	20	!! dyn_spg_ts : compute surface pressure gradient trend using a time-splitting scheme
	21	!! dyn_spg_ts_init: initialisation of the time-splitting scheme
	22	!! ts_wgt : set time-splitting weights for temporal averaging (or not)
	23	!! ts_rst : read/write time-splitting fields in restart file
[358]	24	!!----------------------------------------------------------------------
	25	USE oce ! ocean dynamics and tracers
	26	USE dom_oce ! ocean space and time domain
[888]	27	USE sbc_oce ! surface boundary condition: ocean
[7351]	28	USE zdf_oce ! Bottom friction coefts
[5120]	29	USE sbcisf ! ice shelf variable (fwfisf)
[7351]	30	USE sbcapr ! surface boundary condition: atmospheric pressure
	31	USE dynadv , ONLY: ln_dynadv_vec
[358]	32	USE phycst ! physical constants
	33	USE dynvor ! vorticity term
[7351]	34	USE wet_dry ! wetting/drying flux limter
[3294]	35	USE bdy_par ! for lk_bdy
[5930]	36	USE bdytides ! open boundary condition data
[3294]	37	USE bdydyn2d ! open boundary conditions on barotropic variables
[4292]	38	USE sbctide ! tides
	39	USE updtide ! tide potential
[7351]	40	!
	41	USE in_out_manager ! I/O manager
[358]	42	USE lib_mpp ! distributed memory computing library
	43	USE lbclnk ! ocean lateral boundary conditions (or mpp link)
	44	USE prtctl ! Print control
[2715]	45	USE iom ! IOM library
[4292]	46	USE restart ! only for lrst_oce
[3294]	47	USE wrk_nemo ! Memory Allocation
[4292]	48	USE timing ! Timing
[7351]	49	USE diatmb ! Top,middle,bottom output
[4292]	50	#if defined key_agrif
	51	USE agrif_opa_interp ! agrif
	52	#endif
[4757]	53	#if defined key_asminc
	54	USE asminc ! Assimilation increment
	55	#endif
[358]	56
[7351]	57
[358]	58	IMPLICIT NONE
	59	PRIVATE
	60
[4292]	61	PUBLIC dyn_spg_ts ! routine called in dynspg.F90
	62	PUBLIC dyn_spg_ts_alloc ! " " " "
	63	PUBLIC dyn_spg_ts_init ! " " " "
[4496]	64	PUBLIC ts_rst ! " " " "
[358]	65
[4292]	66	INTEGER, SAVE :: icycle ! Number of barotropic sub-steps for each internal step nn_baro <= 2.5 nn_baro
	67	REAL(wp),SAVE :: rdtbt ! Barotropic time step
	68
[7351]	69	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:) :: wgtbtp1, wgtbtp2 !: 1st & 2nd weights used in time filtering of barotropic fields
[4292]	70
[7351]	71	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: zwz !: ff/h at F points
	72	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ftnw, ftne !: triad of coriolis parameter
	73	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ftsw, ftse !: (only used with een vorticity scheme)
[508]	74
[7351]	75	!! Time filtered arrays at baroclinic time step:
	76	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: un_adv , vn_adv !: Advection vel. at "now" barocl. step
	77
[358]	78	!! * Substitutions
	79	# include "vectopt_loop_substitute.h90"
[2715]	80	!!----------------------------------------------------------------------
[4292]	81	!! NEMO/OPA 3.5 , NEMO Consortium (2013)
[5217]	82	!! $Id$
[2715]	83	!! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt)
	84	!!----------------------------------------------------------------------
[358]	85	CONTAINS
	86
[2715]	87	INTEGER FUNCTION dyn_spg_ts_alloc()
	88	!!----------------------------------------------------------------------
	89	!! * routine dyn_spg_ts_alloc *
	90	!!----------------------------------------------------------------------
[7351]	91	INTEGER :: ierr(3)
[4292]	92	!!----------------------------------------------------------------------
	93	ierr(:) = 0
[7351]	94	!
	95	ALLOCATE( wgtbtp1(3nn_baro), wgtbtp2(3nn_baro), zwz(jpi,jpj), STAT=ierr(1) )
	96	!
	97	IF( ln_dynvor_een ) ALLOCATE( ftnw(jpi,jpj) , ftne(jpi,jpj) , &
	98	& ftsw(jpi,jpj) , ftse(jpi,jpj) , STAT=ierr(2) )
	99	!
	100	ALLOCATE( un_adv(jpi,jpj), vn_adv(jpi,jpj) , STAT=ierr(3) )
	101	!
	102	dyn_spg_ts_alloc = MAXVAL( ierr(:) )
	103	!
[2715]	104	IF( lk_mpp ) CALL mpp_sum( dyn_spg_ts_alloc )
[5930]	105	IF( dyn_spg_ts_alloc /= 0 ) CALL ctl_warn('dyn_spg_ts_alloc: failed to allocate arrays')
[2715]	106	!
	107	END FUNCTION dyn_spg_ts_alloc
	108
[5836]	109
[358]	110	SUBROUTINE dyn_spg_ts( kt )
	111	!!----------------------------------------------------------------------
	112	!!
[7351]	113	!! ** Purpose : - Compute the now trend due to the explicit time stepping
	114	!! of the quasi-linear barotropic system, and add it to the
	115	!! general momentum trend.
[358]	116	!!
[7351]	117	!! ** Method : - split-explicit schem (time splitting) :
[4374]	118	!! Barotropic variables are advanced from internal time steps
	119	!! "n" to "n+1" if ln_bt_fw=T
	120	!! or from
	121	!! "n-1" to "n+1" if ln_bt_fw=F
	122	!! thanks to a generalized forward-backward time stepping (see ref. below).
[358]	123	!!
[4374]	124	!! ** Action :
	125	!! -Update the filtered free surface at step "n+1" : ssha
	126	!! -Update filtered barotropic velocities at step "n+1" : ua_b, va_b
	127	!! -Compute barotropic advective velocities at step "n" : un_adv, vn_adv
	128	!! These are used to advect tracers and are compliant with discrete
	129	!! continuity equation taken at the baroclinic time steps. This
	130	!! ensures tracers conservation.
[7351]	131	!! - (ua, va) momentum trend updated with barotropic component.
[358]	132	!!
[7351]	133	!! References : Shchepetkin and McWilliams, Ocean Modelling, 2005.
[358]	134	!!---------------------------------------------------------------------
[1502]	135	INTEGER, INTENT(in) :: kt ! ocean time-step index
[2715]	136	!
[4292]	137	LOGICAL :: ll_fw_start ! if true, forward integration
[4374]	138	LOGICAL :: ll_init ! if true, special startup of 2d equations
[7351]	139	LOGICAL :: ll_tmp1, ll_tmp2 ! local logical variables used in W/D
[4292]	140	INTEGER :: ji, jj, jk, jn ! dummy loop indices
	141	INTEGER :: ikbu, ikbv, noffset ! local integers
[7351]	142	INTEGER :: iktu, iktv ! local integers
	143	REAL(wp) :: zmdi
[4292]	144	REAL(wp) :: zraur, z1_2dt_b, z2dt_bf ! local scalars
[5930]	145	REAL(wp) :: zx1, zy1, zx2, zy2 ! - -
	146	REAL(wp) :: z1_12, z1_8, z1_4, z1_2 ! - -
	147	REAL(wp) :: zu_spg, zv_spg ! - -
	148	REAL(wp) :: zhura, zhvra ! - -
	149	REAL(wp) :: za0, za1, za2, za3 ! - -
[3294]	150	!
[5930]	151	REAL(wp), POINTER, DIMENSION(:,:) :: zsshp2_e
[4292]	152	REAL(wp), POINTER, DIMENSION(:,:) :: zu_trd, zv_trd, zu_frc, zv_frc, zssh_frc
[5930]	153	REAL(wp), POINTER, DIMENSION(:,:) :: zwx, zwy, zhdiv
[4292]	154	REAL(wp), POINTER, DIMENSION(:,:) :: zhup2_e, zhvp2_e, zhust_e, zhvst_e
	155	REAL(wp), POINTER, DIMENSION(:,:) :: zsshu_a, zsshv_a
[4370]	156	REAL(wp), POINTER, DIMENSION(:,:) :: zhf
[7351]	157	REAL(wp), POINTER, DIMENSION(:,:) :: zcpx, zcpy ! Wetting/Dying gravity filter coef.
	158	REAL(wp), POINTER, DIMENSION(:,:) :: wduflt1, wdvflt1 ! Wetting/Dying velocity filter coef.
[358]	159	!!----------------------------------------------------------------------
[3294]	160	!
	161	IF( nn_timing == 1 ) CALL timing_start('dyn_spg_ts')
	162	!
[4374]	163	! !* Allocate temporary arrays
[7351]	164	CALL wrk_alloc( jpi,jpj, zsshp2_e, zhdiv )
	165	CALL wrk_alloc( jpi,jpj, zu_trd, zv_trd)
	166	CALL wrk_alloc( jpi,jpj, zwx, zwy, zssh_frc, zu_frc, zv_frc)
	167	CALL wrk_alloc( jpi,jpj, zhup2_e, zhvp2_e, zhust_e, zhvst_e)
	168	CALL wrk_alloc( jpi,jpj, zsshu_a, zsshv_a )
	169	CALL wrk_alloc( jpi,jpj, zhf )
	170	IF( ln_wd ) CALL wrk_alloc( jpi, jpj, zcpx, zcpy, wduflt1, wdvflt1 )
[3294]	171	!
[7351]	172	zmdi=1.e+20 ! missing data indicator for masking
[4292]	173	! !* Local constant initialization
	174	z1_12 = 1._wp / 12._wp
	175	z1_8 = 0.125_wp
	176	z1_4 = 0.25_wp
	177	z1_2 = 0.5_wp
	178	zraur = 1._wp / rau0
[7351]	179	! ! reciprocal of baroclinic time step
	180	IF( kt == nit000 .AND. neuler == 0 ) THEN ; z2dt_bf = rdt
	181	ELSE ; z2dt_bf = 2.0_wp * rdt
[4292]	182	ENDIF
	183	z1_2dt_b = 1.0_wp / z2dt_bf
	184	!
[7351]	185	ll_init = ln_bt_av ! if no time averaging, then no specific restart
[4292]	186	ll_fw_start = .FALSE.
[7351]	187	! ! time offset in steps for bdy data update
	188	IF( .NOT.ln_bt_fw ) THEN ; noffset = - nn_baro
	189	ELSE ; noffset = 0
	190	ENDIF
[4292]	191	!
	192	IF( kt == nit000 ) THEN !* initialisation
[508]	193	!
[358]	194	IF(lwp) WRITE(numout,*)
	195	IF(lwp) WRITE(numout,*) 'dyn_spg_ts : surface pressure gradient trend'
	196	IF(lwp) WRITE(numout,*) '~~~~~~~~~~ free surface with time splitting'
[4354]	197	IF(lwp) WRITE(numout,*)
[1502]	198	!
[7351]	199	IF( neuler == 0 ) ll_init=.TRUE.
[1502]	200	!
[7351]	201	IF( ln_bt_fw .OR. neuler == 0 ) THEN
	202	ll_fw_start =.TRUE.
	203	noffset = 0
[4292]	204	ELSE
[7351]	205	ll_fw_start =.FALSE.
[4292]	206	ENDIF
	207	!
	208	! Set averaging weights and cycle length:
[7351]	209	CALL ts_wgt( ln_bt_av, ll_fw_start, icycle, wgtbtp1, wgtbtp2 )
[4292]	210	!
	211	ENDIF
	212	!
	213	! Set arrays to remove/compute coriolis trend.
	214	! Do it once at kt=nit000 if volume is fixed, else at each long time step.
	215	! Note that these arrays are also used during barotropic loop. These are however frozen
[4374]	216	! although they should be updated in the variable volume case. Not a big approximation.
[4292]	217	! To remove this approximation, copy lines below inside barotropic loop
[4374]	218	! and update depths at T-F points (ht and zhf resp.) at each barotropic time step
[4292]	219	!
[7351]	220	IF( kt == nit000 .OR. .NOT.ln_linssh ) THEN
	221	IF( ln_dynvor_een ) THEN !== EEN scheme ==!
[5836]	222	SELECT CASE( nn_een_e3f ) !* ff/e3 at F-point
	223	CASE ( 0 ) ! original formulation (masked averaging of e3t divided by 4)
	224	DO jj = 1, jpjm1
	225	DO ji = 1, jpim1
[7351]	226	zwz(ji,jj) = ( ht_n(ji ,jj+1) + ht_n(ji+1,jj+1) + &
	227	& ht_n(ji ,jj ) + ht_n(ji+1,jj ) ) * 0.25_wp
[5836]	228	IF( zwz(ji,jj) /= 0._wp ) zwz(ji,jj) = ff(ji,jj) / zwz(ji,jj)
	229	END DO
[5032]	230	END DO
[5836]	231	CASE ( 1 ) ! new formulation (masked averaging of e3t divided by the sum of mask)
	232	DO jj = 1, jpjm1
	233	DO ji = 1, jpim1
[7351]	234	zwz(ji,jj) = ( ht_n(ji ,jj+1) + ht_n(ji+1,jj+1) + &
	235	& ht_n(ji ,jj ) + ht_n(ji+1,jj ) ) &
[5836]	236	& / ( MAX( 1._wp, tmask(ji ,jj+1, 1) + tmask(ji+1,jj+1, 1) + &
[4292]	237	& tmask(ji ,jj , 1) + tmask(ji+1,jj , 1) ) )
[5836]	238	IF( zwz(ji,jj) /= 0._wp ) zwz(ji,jj) = ff(ji,jj) / zwz(ji,jj)
	239	END DO
[4292]	240	END DO
[5836]	241	END SELECT
[4292]	242	CALL lbc_lnk( zwz, 'F', 1._wp )
[5836]	243	!
[4292]	244	ftne(1,:) = 0._wp ; ftnw(1,:) = 0._wp ; ftse(1,:) = 0._wp ; ftsw(1,:) = 0._wp
[358]	245	DO jj = 2, jpj
[5836]	246	DO ji = 2, jpi
[4292]	247	ftne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1)
	248	ftnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj )
	249	ftse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1)
	250	ftsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj )
[358]	251	END DO
	252	END DO
[5836]	253	!
	254	ELSE !== all other schemes (ENE, ENS, MIX)
[4292]	255	zwz(:,:) = 0._wp
[5836]	256	zhf(:,:) = 0._wp
[4292]	257	IF ( .not. ln_sco ) THEN
[5836]	258
	259	!!gm agree the JC comment : this should be done in a much clear way
	260
[4374]	261	! JC: It not clear yet what should be the depth at f-points over land in z-coordinate case
	262	! Set it to zero for the time being
[4292]	263	! IF( rn_hmin < 0._wp ) THEN ; jk = - INT( rn_hmin ) ! from a nb of level
	264	! ELSE ; jk = MINLOC( gdepw_0, mask = gdepw_0 > rn_hmin, dim = 1 ) ! from a depth
	265	! ENDIF
[4370]	266	! zhf(:,:) = gdepw_0(:,:,jk+1)
[4292]	267	ELSE
[4370]	268	zhf(:,:) = hbatf(:,:)
[4292]	269	END IF
	270
	271	DO jj = 1, jpjm1
[5836]	272	zhf(:,jj) = zhf(:,jj) * (1._wp- umask(:,jj,1) * umask(:,jj+1,1))
[4292]	273	END DO
	274
	275	DO jk = 1, jpkm1
	276	DO jj = 1, jpjm1
[7351]	277	zhf(:,jj) = zhf(:,jj) + e3f_n(:,jj,jk) * umask(:,jj,jk) * umask(:,jj+1,jk)
[4292]	278	END DO
	279	END DO
[4370]	280	CALL lbc_lnk( zhf, 'F', 1._wp )
[4292]	281	! JC: TBC. hf should be greater than 0
	282	DO jj = 1, jpj
	283	DO ji = 1, jpi
[4370]	284	IF( zhf(ji,jj) /= 0._wp ) zwz(ji,jj) = 1._wp / zhf(ji,jj) ! zhf is actually hf here but it saves an array
[4292]	285	END DO
	286	END DO
	287	zwz(:,:) = ff(:,:) * zwz(:,:)
[358]	288	ENDIF
[508]	289	ENDIF
[1502]	290	!
[4292]	291	! If forward start at previous time step, and centered integration,
	292	! then update averaging weights:
[5836]	293	IF (.NOT.ln_bt_fw .AND.( neuler==0 .AND. kt==nit000+1 ) ) THEN
[4292]	294	ll_fw_start=.FALSE.
	295	CALL ts_wgt(ln_bt_av, ll_fw_start, icycle, wgtbtp1, wgtbtp2)
	296	ENDIF
	297
[358]	298	! -----------------------------------------------------------------------------
	299	! Phase 1 : Coupling between general trend and barotropic estimates (1st step)
	300	! -----------------------------------------------------------------------------
[1502]	301	!
[4292]	302	!
[4354]	303	! !* e3*d/dt(Ua) (Vertically integrated)
[4292]	304	! ! --------------------------------------------------
[4354]	305	zu_frc(:,:) = 0._wp
	306	zv_frc(:,:) = 0._wp
[1502]	307	!
	308	DO jk = 1, jpkm1
[7351]	309	zu_frc(:,:) = zu_frc(:,:) + e3u_n(:,:,jk) * ua(:,:,jk) * umask(:,:,jk)
	310	zv_frc(:,:) = zv_frc(:,:) + e3v_n(:,:,jk) * va(:,:,jk) * vmask(:,:,jk)
[1502]	311	END DO
[4292]	312	!
[7351]	313	zu_frc(:,:) = zu_frc(:,:) * r1_hu_n(:,:)
	314	zv_frc(:,:) = zv_frc(:,:) * r1_hv_n(:,:)
[4292]	315	!
	316	!
[1502]	317	! !* baroclinic momentum trend (remove the vertical mean trend)
[4292]	318	DO jk = 1, jpkm1 ! -----------------------------------------------------------
[1502]	319	DO jj = 2, jpjm1
	320	DO ji = fs_2, fs_jpim1 ! vector opt.
[4292]	321	ua(ji,jj,jk) = ua(ji,jj,jk) - zu_frc(ji,jj) * umask(ji,jj,jk)
	322	va(ji,jj,jk) = va(ji,jj,jk) - zv_frc(ji,jj) * vmask(ji,jj,jk)
[1502]	323	END DO
[358]	324	END DO
[1502]	325	END DO
[4292]	326	! !* barotropic Coriolis trends (vorticity scheme dependent)
	327	! ! --------------------------------------------------------
[7351]	328	zwx(:,:) = un_b(:,:) * hu_n(:,:) * e2u(:,:) ! now fluxes
	329	zwy(:,:) = vn_b(:,:) * hv_n(:,:) * e1v(:,:)
[1502]	330	!
[358]	331	IF( ln_dynvor_ene .OR. ln_dynvor_mix ) THEN ! energy conserving or mixed scheme
	332	DO jj = 2, jpjm1
	333	DO ji = fs_2, fs_jpim1 ! vector opt.
[5836]	334	zy1 = ( zwy(ji,jj-1) + zwy(ji+1,jj-1) ) * r1_e1u(ji,jj)
	335	zy2 = ( zwy(ji,jj ) + zwy(ji+1,jj ) ) * r1_e1u(ji,jj)
	336	zx1 = ( zwx(ji-1,jj) + zwx(ji-1,jj+1) ) * r1_e2v(ji,jj)
	337	zx2 = ( zwx(ji ,jj) + zwx(ji ,jj+1) ) * r1_e2v(ji,jj)
[358]	338	! energy conserving formulation for planetary vorticity term
[4292]	339	zu_trd(ji,jj) = z1_4 * ( zwz(ji ,jj-1) * zy1 + zwz(ji,jj) * zy2 )
	340	zv_trd(ji,jj) =-z1_4 * ( zwz(ji-1,jj ) * zx1 + zwz(ji,jj) * zx2 )
[358]	341	END DO
	342	END DO
[508]	343	!
[4374]	344	ELSEIF ( ln_dynvor_ens ) THEN ! enstrophy conserving scheme
[358]	345	DO jj = 2, jpjm1
	346	DO ji = fs_2, fs_jpim1 ! vector opt.
[4292]	347	zy1 = z1_8 * ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) &
[5836]	348	& + zwy(ji ,jj ) + zwy(ji+1,jj ) ) * r1_e1u(ji,jj)
[4292]	349	zx1 = - z1_8 * ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) &
[5836]	350	& + zwx(ji ,jj ) + zwx(ji ,jj+1) ) * r1_e2v(ji,jj)
[4292]	351	zu_trd(ji,jj) = zy1 * ( zwz(ji ,jj-1) + zwz(ji,jj) )
	352	zv_trd(ji,jj) = zx1 * ( zwz(ji-1,jj ) + zwz(ji,jj) )
[358]	353	END DO
	354	END DO
[508]	355	!
[5836]	356	ELSEIF ( ln_dynvor_een ) THEN ! enstrophy and energy conserving scheme
[358]	357	DO jj = 2, jpjm1
	358	DO ji = fs_2, fs_jpim1 ! vector opt.
[5836]	359	zu_trd(ji,jj) = + z1_12 * r1_e1u(ji,jj) * ( ftne(ji,jj ) * zwy(ji ,jj ) &
	360	& + ftnw(ji+1,jj) * zwy(ji+1,jj ) &
	361	& + ftse(ji,jj ) * zwy(ji ,jj-1) &
	362	& + ftsw(ji+1,jj) * zwy(ji+1,jj-1) )
	363	zv_trd(ji,jj) = - z1_12 * r1_e2v(ji,jj) * ( ftsw(ji,jj+1) * zwx(ji-1,jj+1) &
	364	& + ftse(ji,jj+1) * zwx(ji ,jj+1) &
	365	& + ftnw(ji,jj ) * zwx(ji-1,jj ) &
	366	& + ftne(ji,jj ) * zwx(ji ,jj ) )
[358]	367	END DO
	368	END DO
[508]	369	!
[4292]	370	ENDIF
	371	!
[1502]	372	! !* Right-Hand-Side of the barotropic momentum equation
	373	! ! ----------------------------------------------------
[7351]	374	IF( .NOT.ln_linssh ) THEN ! Variable volume : remove surface pressure gradient
	375	IF( ln_wd ) THEN ! Calculating and applying W/D gravity filters
	376	wduflt1(:,:) = 1.0_wp
	377	wdvflt1(:,:) = 1.0_wp
	378	DO jj = 2, jpjm1
	379	DO ji = 2, jpim1
	380	ll_tmp1 = MIN(sshn(ji,jj), sshn(ji+1,jj)) > MAX(-bathy(ji,jj), -bathy(ji+1,jj)) &
	381	& .and. MAX(sshn(ji,jj) + bathy(ji,jj), sshn(ji+1,jj) + bathy(ji+1,jj)) &
	382	& > rn_wdmin1 + rn_wdmin2
	383	ll_tmp2 = MAX(sshn(ji,jj), sshn(ji+1,jj)) > MAX(-bathy(ji,jj), -bathy(ji+1,jj)) &
	384	& + rn_wdmin1 + rn_wdmin2
	385	IF(ll_tmp1) THEN
	386	zcpx(ji,jj) = 1.0_wp
	387	ELSEIF(ll_tmp2) THEN
	388	! no worries about sshn(ji+1,jj)-sshn(ji,jj) = 0, it won't happen here
	389	zcpx(ji,jj) = ABS((sshn(ji+1,jj) + bathy(ji+1,jj) - sshn(ji,jj) - bathy(ji,jj)) &
	390	& /(sshn(ji+1,jj) - sshn(ji,jj)))
	391	ELSE
	392	zcpx(ji,jj) = 0._wp
	393	wduflt1(ji,jj) = 0.0_wp
	394	END IF
	395
	396	ll_tmp1 = MIN(sshn(ji,jj), sshn(ji,jj+1)) > MAX(-bathy(ji,jj), -bathy(ji,jj+1)) &
	397	& .and. MAX(sshn(ji,jj) + bathy(ji,jj), sshn(ji,jj+1) + bathy(ji,jj+1)) &
	398	& > rn_wdmin1 + rn_wdmin2
	399	ll_tmp2 = MAX(sshn(ji,jj), sshn(ji,jj+1)) > MAX(-bathy(ji,jj), -bathy(ji,jj+1)) &
	400	& + rn_wdmin1 + rn_wdmin2
	401	IF(ll_tmp1) THEN
	402	zcpy(ji,jj) = 1.0_wp
	403	ELSEIF(ll_tmp2) THEN
	404	! no worries about sshn(ji,jj+1)-sshn(ji,jj) = 0, it won't happen here
	405	zcpy(ji,jj) = ABS((sshn(ji,jj+1) + bathy(ji,jj+1) - sshn(ji,jj) - bathy(ji,jj)) &
	406	& /(sshn(ji,jj+1) - sshn(ji,jj)))
	407	ELSE
	408	zcpy(ji,jj) = 0._wp
	409	wdvflt1(ji,jj) = 0.0_wp
	410	ENDIF
	411
	412	END DO
	413	END DO
	414
	415	CALL lbc_lnk( zcpx, 'U', 1._wp ) ; CALL lbc_lnk( zcpy, 'V', 1._wp )
	416
	417	DO jj = 2, jpjm1
	418	DO ji = 2, jpim1
	419	zu_trd(ji,jj) = ( zu_trd(ji,jj) - grav * ( sshn(ji+1,jj ) - sshn(ji ,jj ) ) &
	420	& * r1_e1u(ji,jj) ) * zcpx(ji,jj) * wduflt1(ji,jj)
	421	zv_trd(ji,jj) = ( zv_trd(ji,jj) - grav * ( sshn(ji ,jj+1) - sshn(ji ,jj ) ) &
	422	& * r1_e2v(ji,jj) ) * zcpy(ji,jj) * wdvflt1(ji,jj)
	423	END DO
	424	END DO
	425
	426	ELSE
	427
	428	DO jj = 2, jpjm1
	429	DO ji = fs_2, fs_jpim1 ! vector opt.
	430	zu_trd(ji,jj) = zu_trd(ji,jj) - grav * ( sshn(ji+1,jj ) - sshn(ji ,jj ) ) * r1_e1u(ji,jj)
	431	zv_trd(ji,jj) = zv_trd(ji,jj) - grav * ( sshn(ji ,jj+1) - sshn(ji ,jj ) ) * r1_e2v(ji,jj)
	432	END DO
	433	END DO
	434	ENDIF
	435
[1502]	436	ENDIF
[358]	437
[4292]	438	DO jj = 2, jpjm1 ! Remove coriolis term (and possibly spg) from barotropic trend
[358]	439	DO ji = fs_2, fs_jpim1
[7351]	440	zu_frc(ji,jj) = zu_frc(ji,jj) - zu_trd(ji,jj) * ssumask(ji,jj)
	441	zv_frc(ji,jj) = zv_frc(ji,jj) - zv_trd(ji,jj) * ssvmask(ji,jj)
[3294]	442	END DO
[4292]	443	END DO
	444	!
	445	! ! Add bottom stress contribution from baroclinic velocities:
	446	IF (ln_bt_fw) THEN
	447	DO jj = 2, jpjm1
	448	DO ji = fs_2, fs_jpim1 ! vector opt.
	449	ikbu = mbku(ji,jj)
	450	ikbv = mbkv(ji,jj)
	451	zwx(ji,jj) = un(ji,jj,ikbu) - un_b(ji,jj) ! NOW bottom baroclinic velocities
	452	zwy(ji,jj) = vn(ji,jj,ikbv) - vn_b(ji,jj)
	453	END DO
	454	END DO
[3294]	455	ELSE
[4292]	456	DO jj = 2, jpjm1
	457	DO ji = fs_2, fs_jpim1 ! vector opt.
	458	ikbu = mbku(ji,jj)
	459	ikbv = mbkv(ji,jj)
	460	zwx(ji,jj) = ub(ji,jj,ikbu) - ub_b(ji,jj) ! BEFORE bottom baroclinic velocities
	461	zwy(ji,jj) = vb(ji,jj,ikbv) - vb_b(ji,jj)
	462	END DO
	463	END DO
	464	ENDIF
[1502]	465	!
[4292]	466	! Note that the "unclipped" bottom friction parameter is used even with explicit drag
[7351]	467	IF( ln_wd ) THEN
	468	zu_frc(:,:) = zu_frc(:,:) + MAX(r1_hu_n(:,:) * bfrua(:,:),-1._wp / rdtbt) * zwx(:,:)
	469	zv_frc(:,:) = zv_frc(:,:) + MAX(r1_hv_n(:,:) * bfrva(:,:),-1._wp / rdtbt) * zwy(:,:)
	470	ELSE
	471	zu_frc(:,:) = zu_frc(:,:) + r1_hu_n(:,:) * bfrua(:,:) * zwx(:,:)
	472	zv_frc(:,:) = zv_frc(:,:) + r1_hv_n(:,:) * bfrva(:,:) * zwy(:,:)
	473	END IF
	474	!
	475	! ! Add top stress contribution from baroclinic velocities:
	476	IF (ln_bt_fw) THEN
	477	DO jj = 2, jpjm1
	478	DO ji = fs_2, fs_jpim1 ! vector opt.
	479	iktu = miku(ji,jj)
	480	iktv = mikv(ji,jj)
	481	zwx(ji,jj) = un(ji,jj,iktu) - un_b(ji,jj) ! NOW top baroclinic velocities
	482	zwy(ji,jj) = vn(ji,jj,iktv) - vn_b(ji,jj)
	483	END DO
	484	END DO
	485	ELSE
	486	DO jj = 2, jpjm1
	487	DO ji = fs_2, fs_jpim1 ! vector opt.
	488	iktu = miku(ji,jj)
	489	iktv = mikv(ji,jj)
	490	zwx(ji,jj) = ub(ji,jj,iktu) - ub_b(ji,jj) ! BEFORE top baroclinic velocities
	491	zwy(ji,jj) = vb(ji,jj,iktv) - vb_b(ji,jj)
	492	END DO
	493	END DO
	494	ENDIF
	495	!
	496	! Note that the "unclipped" top friction parameter is used even with explicit drag
	497	zu_frc(:,:) = zu_frc(:,:) + r1_hu_n(:,:) * tfrua(:,:) * zwx(:,:)
	498	zv_frc(:,:) = zv_frc(:,:) + r1_hv_n(:,:) * tfrva(:,:) * zwy(:,:)
[4292]	499	!
	500	IF (ln_bt_fw) THEN ! Add wind forcing
[7351]	501	zu_frc(:,:) = zu_frc(:,:) + zraur * utau(:,:) * r1_hu_n(:,:)
	502	zv_frc(:,:) = zv_frc(:,:) + zraur * vtau(:,:) * r1_hv_n(:,:)
[2724]	503	ELSE
[7351]	504	zu_frc(:,:) = zu_frc(:,:) + zraur * z1_2 * ( utau_b(:,:) + utau(:,:) ) * r1_hu_n(:,:)
	505	zv_frc(:,:) = zv_frc(:,:) + zraur * z1_2 * ( vtau_b(:,:) + vtau(:,:) ) * r1_hv_n(:,:)
[4292]	506	ENDIF
	507	!
	508	IF ( ln_apr_dyn ) THEN ! Add atm pressure forcing
	509	IF (ln_bt_fw) THEN
	510	DO jj = 2, jpjm1
	511	DO ji = fs_2, fs_jpim1 ! vector opt.
[5836]	512	zu_spg = grav * ( ssh_ib (ji+1,jj ) - ssh_ib (ji,jj) ) * r1_e1u(ji,jj)
	513	zv_spg = grav * ( ssh_ib (ji ,jj+1) - ssh_ib (ji,jj) ) * r1_e2v(ji,jj)
[4292]	514	zu_frc(ji,jj) = zu_frc(ji,jj) + zu_spg
	515	zv_frc(ji,jj) = zv_frc(ji,jj) + zv_spg
	516	END DO
	517	END DO
	518	ELSE
	519	DO jj = 2, jpjm1
	520	DO ji = fs_2, fs_jpim1 ! vector opt.
	521	zu_spg = grav * z1_2 * ( ssh_ib (ji+1,jj ) - ssh_ib (ji,jj) &
[5836]	522	& + ssh_ibb(ji+1,jj ) - ssh_ibb(ji,jj) ) * r1_e1u(ji,jj)
[4292]	523	zv_spg = grav * z1_2 * ( ssh_ib (ji ,jj+1) - ssh_ib (ji,jj) &
[5836]	524	& + ssh_ibb(ji ,jj+1) - ssh_ibb(ji,jj) ) * r1_e2v(ji,jj)
[4292]	525	zu_frc(ji,jj) = zu_frc(ji,jj) + zu_spg
	526	zv_frc(ji,jj) = zv_frc(ji,jj) + zv_spg
	527	END DO
	528	END DO
	529	ENDIF
[2724]	530	ENDIF
[4292]	531	! !* Right-Hand-Side of the barotropic ssh equation
	532	! ! -----------------------------------------------
	533	! ! Surface net water flux and rivers
	534	IF (ln_bt_fw) THEN
[5643]	535	zssh_frc(:,:) = zraur * ( emp(:,:) - rnf(:,:) + fwfisf(:,:) )
[4292]	536	ELSE
[5120]	537	zssh_frc(:,:) = zraur * z1_2 * ( emp(:,:) + emp_b(:,:) - rnf(:,:) - rnf_b(:,:) &
[5643]	538	& + fwfisf(:,:) + fwfisf_b(:,:) )
[4292]	539	ENDIF
	540	#if defined key_asminc
	541	! ! Include the IAU weighted SSH increment
	542	IF( lk_asminc .AND. ln_sshinc .AND. ln_asmiau ) THEN
[5436]	543	zssh_frc(:,:) = zssh_frc(:,:) - ssh_iau(:,:)
[4292]	544	ENDIF
	545	#endif
[5656]	546	! !* Fill boundary data arrays for AGRIF
	547	! ! ------------------------------------
[4486]	548	#if defined key_agrif
	549	IF( .NOT.Agrif_Root() ) CALL agrif_dta_ts( kt )
	550	#endif
[4292]	551	!
[358]	552	! -----------------------------------------------------------------------
[4292]	553	! Phase 2 : Integration of the barotropic equations
[358]	554	! -----------------------------------------------------------------------
[1502]	555	!
	556	! ! ==================== !
	557	! ! Initialisations !
[4292]	558	! ! ==================== !
[4370]	559	! Initialize barotropic variables:
[4770]	560	IF( ll_init )THEN
[4700]	561	sshbb_e(:,:) = 0._wp
	562	ubb_e (:,:) = 0._wp
	563	vbb_e (:,:) = 0._wp
	564	sshb_e (:,:) = 0._wp
	565	ub_e (:,:) = 0._wp
	566	vb_e (:,:) = 0._wp
	567	ENDIF
[7351]	568
	569	IF( ln_wd ) THEN !preserve the positivity of water depth
	570	!ssh[b,n,a] should have already been processed for this
	571	sshbb_e(:,:) = MAX(sshbb_e(:,:), rn_wdmin1 - bathy(:,:))
	572	sshb_e(:,:) = MAX(sshb_e(:,:) , rn_wdmin1 - bathy(:,:))
	573	ENDIF
[4700]	574	!
[4370]	575	IF (ln_bt_fw) THEN ! FORWARD integration: start from NOW fields
[7351]	576	sshn_e(:,:) = sshn(:,:)
	577	un_e (:,:) = un_b(:,:)
	578	vn_e (:,:) = vn_b(:,:)
[4370]	579	!
[7351]	580	hu_e (:,:) = hu_n(:,:)
	581	hv_e (:,:) = hv_n(:,:)
	582	hur_e (:,:) = r1_hu_n(:,:)
	583	hvr_e (:,:) = r1_hv_n(:,:)
[4370]	584	ELSE ! CENTRED integration: start from BEFORE fields
[7351]	585	sshn_e(:,:) = sshb(:,:)
	586	un_e (:,:) = ub_b(:,:)
	587	vn_e (:,:) = vb_b(:,:)
[4370]	588	!
[7351]	589	hu_e (:,:) = hu_b(:,:)
	590	hv_e (:,:) = hv_b(:,:)
	591	hur_e (:,:) = r1_hu_b(:,:)
	592	hvr_e (:,:) = r1_hv_b(:,:)
[4292]	593	ENDIF
	594	!
	595	!
[4370]	596	!
[4292]	597	! Initialize sums:
	598	ua_b (:,:) = 0._wp ! After barotropic velocities (or transport if flux form)
	599	va_b (:,:) = 0._wp
	600	ssha (:,:) = 0._wp ! Sum for after averaged sea level
[5930]	601	un_adv(:,:) = 0._wp ! Sum for now transport issued from ts loop
	602	vn_adv(:,:) = 0._wp
[1502]	603	! ! ==================== !
[4292]	604	DO jn = 1, icycle ! sub-time-step loop !
[1502]	605	! ! ==================== !
[3294]	606	! !* Update the forcing (BDY and tides)
[1502]	607	! ! ------------------
[4292]	608	! Update only tidal forcing at open boundaries
	609	#if defined key_tide
[7351]	610	IF( lk_bdy .AND. lk_tide ) CALL bdy_dta_tides( kt, kit=jn, time_offset= noffset+1 )
	611	IF( ln_tide_pot .AND. lk_tide ) CALL upd_tide ( kt, kit=jn, time_offset= noffset )
[4292]	612	#endif
	613	!
	614	! Set extrapolation coefficients for predictor step:
	615	IF ((jn<3).AND.ll_init) THEN ! Forward
	616	za1 = 1._wp
	617	za2 = 0._wp
	618	za3 = 0._wp
	619	ELSE ! AB3-AM4 Coefficients: bet=0.281105
	620	za1 = 1.781105_wp ! za1 = 3/2 + bet
	621	za2 = -1.06221_wp ! za2 = -(1/2 + 2*bet)
	622	za3 = 0.281105_wp ! za3 = bet
	623	ENDIF
[367]	624
[4292]	625	! Extrapolate barotropic velocities at step jit+0.5:
[5930]	626	ua_e(:,:) = za1 * un_e(:,:) + za2 * ub_e(:,:) + za3 * ubb_e(:,:)
	627	va_e(:,:) = za1 * vn_e(:,:) + za2 * vb_e(:,:) + za3 * vbb_e(:,:)
[4292]	628
[7351]	629	IF( .NOT.ln_linssh ) THEN !* Update ocean depth (variable volume case only)
[4292]	630	! ! ------------------
	631	! Extrapolate Sea Level at step jit+0.5:
	632	zsshp2_e(:,:) = za1 * sshn_e(:,:) + za2 * sshb_e(:,:) + za3 * sshbb_e(:,:)
	633	!
	634	DO jj = 2, jpjm1 ! Sea Surface Height at u- & v-points
	635	DO ji = 2, fs_jpim1 ! Vector opt.
[7351]	636	zwx(ji,jj) = z1_2 * ssumask(ji,jj) * r1_e1e2u(ji,jj) &
[5836]	637	& * ( e1e2t(ji ,jj) * zsshp2_e(ji ,jj) &
	638	& + e1e2t(ji+1,jj) * zsshp2_e(ji+1,jj) )
[7351]	639	zwy(ji,jj) = z1_2 * ssvmask(ji,jj) * r1_e1e2v(ji,jj) &
[5836]	640	& * ( e1e2t(ji,jj ) * zsshp2_e(ji,jj ) &
	641	& + e1e2t(ji,jj+1) * zsshp2_e(ji,jj+1) )
[4292]	642	END DO
	643	END DO
[5429]	644	CALL lbc_lnk_multi( zwx, 'U', 1._wp, zwy, 'V', 1._wp )
[4292]	645	!
[4374]	646	zhup2_e (:,:) = hu_0(:,:) + zwx(:,:) ! Ocean depth at U- and V-points
[4292]	647	zhvp2_e (:,:) = hv_0(:,:) + zwy(:,:)
[7351]	648	IF( ln_wd ) THEN
	649	zhup2_e(:,:) = MAX(zhup2_e (:,:), rn_wdmin1)
	650	zhvp2_e(:,:) = MAX(zhvp2_e (:,:), rn_wdmin1)
	651	END IF
[4370]	652	ELSE
[7351]	653	zhup2_e (:,:) = hu_n(:,:)
	654	zhvp2_e (:,:) = hv_n(:,:)
[4292]	655	ENDIF
	656	! !* after ssh
[1502]	657	! ! -----------
[4292]	658	! One should enforce volume conservation at open boundaries here
	659	! considering fluxes below:
	660	!
	661	zwx(:,:) = e2u(:,:) * ua_e(:,:) * zhup2_e(:,:) ! fluxes at jn+0.5
	662	zwy(:,:) = e1v(:,:) * va_e(:,:) * zhvp2_e(:,:)
[4486]	663	!
	664	#if defined key_agrif
[7351]	665	! Set fluxes during predictor step to ensure volume conservation
	666	IF( .NOT.Agrif_Root() .AND. ln_bt_fw ) THEN
[4486]	667	IF((nbondi == -1).OR.(nbondi == 2)) THEN
	668	DO jj=1,jpj
	669	zwx(2,jj) = ubdy_w(jj) * e2u(2,jj)
	670	END DO
	671	ENDIF
	672	IF((nbondi == 1).OR.(nbondi == 2)) THEN
	673	DO jj=1,jpj
	674	zwx(nlci-2,jj) = ubdy_e(jj) * e2u(nlci-2,jj)
	675	END DO
	676	ENDIF
	677	IF((nbondj == -1).OR.(nbondj == 2)) THEN
	678	DO ji=1,jpi
	679	zwy(ji,2) = vbdy_s(ji) * e1v(ji,2)
	680	END DO
	681	ENDIF
	682	IF((nbondj == 1).OR.(nbondj == 2)) THEN
	683	DO ji=1,jpi
	684	zwy(ji,nlcj-2) = vbdy_n(ji) * e1v(ji,nlcj-2)
	685	END DO
	686	ENDIF
	687	ENDIF
	688	#endif
[7351]	689	IF( ln_wd ) CALL wad_lmt_bt(zwx, zwy, sshn_e, zssh_frc, rdtbt)
[4486]	690	!
	691	! Sum over sub-time-steps to compute advective velocities
	692	za2 = wgtbtp2(jn)
[5930]	693	un_adv(:,:) = un_adv(:,:) + za2 * zwx(:,:) * r1_e2u(:,:)
	694	vn_adv(:,:) = vn_adv(:,:) + za2 * zwy(:,:) * r1_e1v(:,:)
[4486]	695	!
	696	! Set next sea level:
[4292]	697	DO jj = 2, jpjm1
[358]	698	DO ji = fs_2, fs_jpim1 ! vector opt.
[4292]	699	zhdiv(ji,jj) = ( zwx(ji,jj) - zwx(ji-1,jj) &
[5836]	700	& + zwy(ji,jj) - zwy(ji,jj-1) ) * r1_e1e2t(ji,jj)
[358]	701	END DO
	702	END DO
[7351]	703	ssha_e(:,:) = ( sshn_e(:,:) - rdtbt * ( zssh_frc(:,:) + zhdiv(:,:) ) ) * ssmask(:,:)
	704	IF( ln_wd ) ssha_e(:,:) = MAX(ssha_e(:,:), rn_wdmin1 - bathy(:,:))
[4292]	705	CALL lbc_lnk( ssha_e, 'T', 1._wp )
	706
[1170]	707	#if defined key_bdy
[7351]	708	! Duplicate sea level across open boundaries (this is only cosmetic if linssh=T)
	709	IF( lk_bdy ) CALL bdy_ssh( ssha_e )
[1170]	710	#endif
[4292]	711	#if defined key_agrif
[7351]	712	IF( .NOT.Agrif_Root() ) CALL agrif_ssh_ts( jn )
[4292]	713	#endif
	714	!
	715	! Sea Surface Height at u-,v-points (vvl case only)
[7351]	716	IF( .NOT.ln_linssh ) THEN
[4292]	717	DO jj = 2, jpjm1
	718	DO ji = 2, jpim1 ! NO Vector Opt.
[7351]	719	zsshu_a(ji,jj) = z1_2 * ssumask(ji,jj) * r1_e1e2u(ji,jj) &
	720	& * ( e1e2t(ji ,jj ) * ssha_e(ji ,jj ) &
	721	& + e1e2t(ji+1,jj ) * ssha_e(ji+1,jj ) )
	722	zsshv_a(ji,jj) = z1_2 * ssvmask(ji,jj) * r1_e1e2v(ji,jj) &
	723	& * ( e1e2t(ji ,jj ) * ssha_e(ji ,jj ) &
	724	& + e1e2t(ji ,jj+1) * ssha_e(ji ,jj+1) )
[4292]	725	END DO
[358]	726	END DO
[5429]	727	CALL lbc_lnk_multi( zsshu_a, 'U', 1._wp, zsshv_a, 'V', 1._wp )
[4292]	728	ENDIF
	729	!
	730	! Half-step back interpolation of SSH for surface pressure computation:
	731	!----------------------------------------------------------------------
	732	IF ((jn==1).AND.ll_init) THEN
	733	za0=1._wp ! Forward-backward
	734	za1=0._wp
	735	za2=0._wp
	736	za3=0._wp
	737	ELSEIF ((jn==2).AND.ll_init) THEN ! AB2-AM3 Coefficients; bet=0 ; gam=-1/6 ; eps=1/12
	738	za0= 1.0833333333333_wp ! za0 = 1-gam-eps
	739	za1=-0.1666666666666_wp ! za1 = gam
	740	za2= 0.0833333333333_wp ! za2 = eps
	741	za3= 0._wp
	742	ELSE ! AB3-AM4 Coefficients; bet=0.281105 ; eps=0.013 ; gam=0.0880
	743	za0=0.614_wp ! za0 = 1/2 + gam + 2*eps
	744	za1=0.285_wp ! za1 = 1/2 - 2gam - 3eps
	745	za2=0.088_wp ! za2 = gam
	746	za3=0.013_wp ! za3 = eps
	747	ENDIF
[7351]	748	!
[4292]	749	zsshp2_e(:,:) = za0 * ssha_e(:,:) + za1 * sshn_e (:,:) &
	750	& + za2 * sshb_e(:,:) + za3 * sshbb_e(:,:)
[7351]	751	IF( ln_wd ) THEN ! Calculating and applying W/D gravity filters
	752	wduflt1(:,:) = 1._wp
	753	wdvflt1(:,:) = 1._wp
	754	DO jj = 2, jpjm1
	755	DO ji = 2, jpim1
	756	ll_tmp1 = MIN( zsshp2_e(ji,jj), zsshp2_e(ji+1,jj) ) > MAX( -bathy(ji,jj), -bathy(ji+1,jj) ) &
	757	& .AND. MAX( zsshp2_e(ji,jj) + bathy(ji,jj), zsshp2_e(ji+1,jj) + bathy(ji+1,jj) ) &
	758	& > rn_wdmin1 + rn_wdmin2
	759	ll_tmp2 = MAX( zsshp2_e(ji,jj), zsshp2_e(ji+1,jj) ) > MAX( -bathy(ji,jj), -bathy(ji+1,jj) ) &
	760	& + rn_wdmin1 + rn_wdmin2
	761	IF(ll_tmp1) THEN
	762	zcpx(ji,jj) = 1._wp
	763	ELSE IF(ll_tmp2) THEN
	764	! no worries about zsshp2_e(ji+1,jj)-zsshp2_e(ji,jj) = 0, it won't happen here
	765	zcpx(ji,jj) = ABS( (zsshp2_e(ji+1,jj) + bathy(ji+1,jj) - zsshp2_e(ji,jj) - bathy(ji,jj)) &
	766	& / (zsshp2_e(ji+1,jj) - zsshp2_e(ji,jj)) )
	767	ELSE
	768	zcpx(ji,jj) = 0._wp
	769	wduflt1(ji,jj) = 0._wp
	770	END IF
[4292]	771
[7351]	772	ll_tmp1 = MIN( zsshp2_e(ji,jj), zsshp2_e(ji,jj+1) ) > MAX( -bathy(ji,jj), -bathy(ji,jj+1) ) &
	773	& .AND. MAX( zsshp2_e(ji,jj) + bathy(ji,jj), zsshp2_e(ji,jj+1) + bathy(ji,jj+1) ) &
	774	& > rn_wdmin1 + rn_wdmin2
	775	ll_tmp2 = MAX( zsshp2_e(ji,jj), zsshp2_e(ji,jj+1) ) > MAX( -bathy(ji,jj), -bathy(ji,jj+1) ) &
	776	& + rn_wdmin1 + rn_wdmin2
	777	IF(ll_tmp1) THEN
	778	zcpy(ji,jj) = 1._wp
	779	ELSE IF(ll_tmp2) THEN
	780	! no worries about zsshp2_e(ji,jj+1)-zsshp2_e(ji,jj) = 0, it won't happen here
	781	zcpy(ji,jj) = ABS( (zsshp2_e(ji,jj+1) + bathy(ji,jj+1) - zsshp2_e(ji,jj) - bathy(ji,jj)) &
	782	& / (zsshp2_e(ji,jj+1) - zsshp2_e(ji,jj)) )
	783	ELSE
	784	zcpy(ji,jj) = 0._wp
	785	wdvflt1(ji,jj) = 0._wp
	786	END IF
	787	END DO
	788	END DO
	789	CALL lbc_lnk( zcpx, 'U', 1._wp ) ; CALL lbc_lnk( zcpy, 'V', 1._wp )
	790	ENDIF
[1502]	791	!
[4292]	792	! Compute associated depths at U and V points:
[7351]	793	IF( .NOT.ln_linssh .AND. .NOT.ln_dynadv_vec ) THEN !* Vector form
[4292]	794	!
	795	DO jj = 2, jpjm1
	796	DO ji = 2, jpim1
[7351]	797	zx1 = z1_2 * ssumask(ji ,jj) * r1_e1e2u(ji ,jj) &
[5836]	798	& * ( e1e2t(ji ,jj ) * zsshp2_e(ji ,jj) &
	799	& + e1e2t(ji+1,jj ) * zsshp2_e(ji+1,jj ) )
[7351]	800	zy1 = z1_2 * ssvmask(ji ,jj) * r1_e1e2v(ji ,jj ) &
[5836]	801	& * ( e1e2t(ji ,jj ) * zsshp2_e(ji ,jj ) &
	802	& + e1e2t(ji ,jj+1) * zsshp2_e(ji ,jj+1) )
[4292]	803	zhust_e(ji,jj) = hu_0(ji,jj) + zx1
	804	zhvst_e(ji,jj) = hv_0(ji,jj) + zy1
	805	END DO
	806	END DO
[7351]	807
	808	IF( ln_wd ) THEN
	809	zhust_e(:,:) = MAX(zhust_e (:,:), rn_wdmin1 )
	810	zhvst_e(:,:) = MAX(zhvst_e (:,:), rn_wdmin1 )
	811	END IF
	812
[4292]	813	ENDIF
	814	!
	815	! Add Coriolis trend:
[7351]	816	! zwz array below or triads normally depend on sea level with ln_linssh=F and should be updated
[4292]	817	! at each time step. We however keep them constant here for optimization.
	818	! Recall that zwx and zwy arrays hold fluxes at this stage:
	819	! zwx(:,:) = e2u(:,:) * ua_e(:,:) * zhup2_e(:,:) ! fluxes at jn+0.5
	820	! zwy(:,:) = e1v(:,:) * va_e(:,:) * zhvp2_e(:,:)
	821	!
[7351]	822	IF( ln_dynvor_ene .OR. ln_dynvor_mix ) THEN !== energy conserving or mixed scheme ==!
[358]	823	DO jj = 2, jpjm1
	824	DO ji = fs_2, fs_jpim1 ! vector opt.
[5836]	825	zy1 = ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) ) * r1_e1u(ji,jj)
	826	zy2 = ( zwy(ji ,jj ) + zwy(ji+1,jj ) ) * r1_e1u(ji,jj)
	827	zx1 = ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) ) * r1_e2v(ji,jj)
	828	zx2 = ( zwx(ji ,jj ) + zwx(ji ,jj+1) ) * r1_e2v(ji,jj)
[4292]	829	zu_trd(ji,jj) = z1_4 * ( zwz(ji ,jj-1) * zy1 + zwz(ji,jj) * zy2 )
	830	zv_trd(ji,jj) =-z1_4 * ( zwz(ji-1,jj ) * zx1 + zwz(ji,jj) * zx2 )
[358]	831	END DO
	832	END DO
[508]	833	!
[7351]	834	ELSEIF ( ln_dynvor_ens ) THEN !== enstrophy conserving scheme ==!
[358]	835	DO jj = 2, jpjm1
	836	DO ji = fs_2, fs_jpim1 ! vector opt.
[4292]	837	zy1 = z1_8 * ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) &
[5836]	838	& + zwy(ji ,jj ) + zwy(ji+1,jj ) ) * r1_e1u(ji,jj)
[4292]	839	zx1 = - z1_8 * ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) &
[5836]	840	& + zwx(ji ,jj ) + zwx(ji ,jj+1) ) * r1_e2v(ji,jj)
[4292]	841	zu_trd(ji,jj) = zy1 * ( zwz(ji ,jj-1) + zwz(ji,jj) )
	842	zv_trd(ji,jj) = zx1 * ( zwz(ji-1,jj ) + zwz(ji,jj) )
[358]	843	END DO
	844	END DO
[508]	845	!
[7351]	846	ELSEIF ( ln_dynvor_een ) THEN !== energy and enstrophy conserving scheme ==!
[358]	847	DO jj = 2, jpjm1
	848	DO ji = fs_2, fs_jpim1 ! vector opt.
[5836]	849	zu_trd(ji,jj) = + z1_12 * r1_e1u(ji,jj) * ( ftne(ji,jj ) * zwy(ji ,jj ) &
	850	& + ftnw(ji+1,jj) * zwy(ji+1,jj ) &
	851	& + ftse(ji,jj ) * zwy(ji ,jj-1) &
	852	& + ftsw(ji+1,jj) * zwy(ji+1,jj-1) )
	853	zv_trd(ji,jj) = - z1_12 * r1_e2v(ji,jj) * ( ftsw(ji,jj+1) * zwx(ji-1,jj+1) &
	854	& + ftse(ji,jj+1) * zwx(ji ,jj+1) &
	855	& + ftnw(ji,jj ) * zwx(ji-1,jj ) &
	856	& + ftne(ji,jj ) * zwx(ji ,jj ) )
[358]	857	END DO
	858	END DO
[508]	859	!
[358]	860	ENDIF
[4292]	861	!
	862	! Add tidal astronomical forcing if defined
	863	IF ( lk_tide.AND.ln_tide_pot ) THEN
	864	DO jj = 2, jpjm1
	865	DO ji = fs_2, fs_jpim1 ! vector opt.
[5836]	866	zu_spg = grav * ( pot_astro(ji+1,jj) - pot_astro(ji,jj) ) * r1_e1u(ji,jj)
	867	zv_spg = grav * ( pot_astro(ji,jj+1) - pot_astro(ji,jj) ) * r1_e2v(ji,jj)
[4292]	868	zu_trd(ji,jj) = zu_trd(ji,jj) + zu_spg
	869	zv_trd(ji,jj) = zv_trd(ji,jj) + zv_spg
	870	END DO
	871	END DO
	872	ENDIF
	873	!
	874	! Add bottom stresses:
[5930]	875	zu_trd(:,:) = zu_trd(:,:) + bfrua(:,:) * un_e(:,:) * hur_e(:,:)
	876	zv_trd(:,:) = zv_trd(:,:) + bfrva(:,:) * vn_e(:,:) * hvr_e(:,:)
[4292]	877	!
[7351]	878	! Add top stresses:
	879	zu_trd(:,:) = zu_trd(:,:) + tfrua(:,:) * un_e(:,:) * hur_e(:,:)
	880	zv_trd(:,:) = zv_trd(:,:) + tfrva(:,:) * vn_e(:,:) * hvr_e(:,:)
	881	!
[4292]	882	! Surface pressure trend:
[7351]	883
	884	IF( ln_wd ) THEN
	885	DO jj = 2, jpjm1
	886	DO ji = 2, jpim1
	887	! Add surface pressure gradient
	888	zu_spg = - grav * ( zsshp2_e(ji+1,jj) - zsshp2_e(ji,jj) ) * r1_e1u(ji,jj)
	889	zv_spg = - grav * ( zsshp2_e(ji,jj+1) - zsshp2_e(ji,jj) ) * r1_e2v(ji,jj)
	890	zwx(ji,jj) = zu_spg * zcpx(ji,jj)
	891	zwy(ji,jj) = zv_spg * zcpy(ji,jj)
	892	END DO
	893	END DO
	894	ELSE
	895	DO jj = 2, jpjm1
	896	DO ji = fs_2, fs_jpim1 ! vector opt.
	897	! Add surface pressure gradient
	898	zu_spg = - grav * ( zsshp2_e(ji+1,jj) - zsshp2_e(ji,jj) ) * r1_e1u(ji,jj)
	899	zv_spg = - grav * ( zsshp2_e(ji,jj+1) - zsshp2_e(ji,jj) ) * r1_e2v(ji,jj)
	900	zwx(ji,jj) = zu_spg
	901	zwy(ji,jj) = zv_spg
	902	END DO
	903	END DO
	904	END IF
	905
[4292]	906	!
	907	! Set next velocities:
[7351]	908	IF( ln_dynadv_vec .OR. ln_linssh ) THEN !* Vector form
[4292]	909	DO jj = 2, jpjm1
	910	DO ji = fs_2, fs_jpim1 ! vector opt.
[5930]	911	ua_e(ji,jj) = ( un_e(ji,jj) &
[4292]	912	& + rdtbt * ( zwx(ji,jj) &
	913	& + zu_trd(ji,jj) &
	914	& + zu_frc(ji,jj) ) &
[7351]	915	& ) * ssumask(ji,jj)
[358]	916
[5930]	917	va_e(ji,jj) = ( vn_e(ji,jj) &
[4292]	918	& + rdtbt * ( zwy(ji,jj) &
	919	& + zv_trd(ji,jj) &
	920	& + zv_frc(ji,jj) ) &
[7351]	921	& ) * ssvmask(ji,jj)
[4292]	922	END DO
	923	END DO
[7351]	924	!
	925	ELSE !* Flux form
[4292]	926	DO jj = 2, jpjm1
	927	DO ji = fs_2, fs_jpim1 ! vector opt.
[3294]	928
[7351]	929	IF( ln_wd ) THEN
	930	zhura = MAX(hu_0(ji,jj) + zsshu_a(ji,jj), rn_wdmin1)
	931	zhvra = MAX(hv_0(ji,jj) + zsshv_a(ji,jj), rn_wdmin1)
	932	ELSE
	933	zhura = hu_0(ji,jj) + zsshu_a(ji,jj)
	934	zhvra = hv_0(ji,jj) + zsshv_a(ji,jj)
	935	END IF
	936	zhura = ssumask(ji,jj)/(zhura + 1._wp - ssumask(ji,jj))
	937	zhvra = ssvmask(ji,jj)/(zhvra + 1._wp - ssvmask(ji,jj))
[3294]	938
[5930]	939	ua_e(ji,jj) = ( hu_e(ji,jj) * un_e(ji,jj) &
[4292]	940	& + rdtbt * ( zhust_e(ji,jj) * zwx(ji,jj) &
	941	& + zhup2_e(ji,jj) * zu_trd(ji,jj) &
[7351]	942	& + hu_n(ji,jj) * zu_frc(ji,jj) ) &
[4292]	943	& ) * zhura
[358]	944
[5930]	945	va_e(ji,jj) = ( hv_e(ji,jj) * vn_e(ji,jj) &
[4292]	946	& + rdtbt * ( zhvst_e(ji,jj) * zwy(ji,jj) &
	947	& + zhvp2_e(ji,jj) * zv_trd(ji,jj) &
[7351]	948	& + hv_n(ji,jj) * zv_frc(ji,jj) ) &
[4292]	949	& ) * zhvra
[592]	950	END DO
	951	END DO
[4292]	952	ENDIF
	953	!
[7351]	954	IF( .NOT.ln_linssh ) THEN !* Update ocean depth (variable volume case only)
	955	IF( ln_wd ) THEN
	956	hu_e (:,:) = MAX(hu_0(:,:) + zsshu_a(:,:), rn_wdmin1)
	957	hv_e (:,:) = MAX(hv_0(:,:) + zsshv_a(:,:), rn_wdmin1)
	958	ELSE
	959	hu_e (:,:) = hu_0(:,:) + zsshu_a(:,:)
	960	hv_e (:,:) = hv_0(:,:) + zsshv_a(:,:)
	961	END IF
	962	hur_e(:,:) = ssumask(:,:) / ( hu_e(:,:) + 1._wp - ssumask(:,:) )
	963	hvr_e(:,:) = ssvmask(:,:) / ( hv_e(:,:) + 1._wp - ssvmask(:,:) )
[1502]	964	!
[1438]	965	ENDIF
[7351]	966	! !* domain lateral boundary
	967	CALL lbc_lnk_multi( ua_e, 'U', -1._wp, va_e , 'V', -1._wp )
[4292]	968	!
	969	#if defined key_bdy
[7351]	970	! ! open boundaries
	971	IF( lk_bdy ) CALL bdy_dyn2d( jn, ua_e, va_e, un_e, vn_e, hur_e, hvr_e, ssha_e )
[4292]	972	#endif
[4486]	973	#if defined key_agrif
	974	IF( .NOT.Agrif_Root() ) CALL agrif_dyn_ts( jn ) ! Agrif
[4292]	975	#endif
	976	! !* Swap
	977	! ! ----
	978	ubb_e (:,:) = ub_e (:,:)
[5930]	979	ub_e (:,:) = un_e (:,:)
	980	un_e (:,:) = ua_e (:,:)
[4292]	981	!
	982	vbb_e (:,:) = vb_e (:,:)
[5930]	983	vb_e (:,:) = vn_e (:,:)
	984	vn_e (:,:) = va_e (:,:)
[4292]	985	!
	986	sshbb_e(:,:) = sshb_e(:,:)
	987	sshb_e (:,:) = sshn_e(:,:)
	988	sshn_e (:,:) = ssha_e(:,:)
	989
	990	! !* Sum over whole bt loop
	991	! ! ----------------------
	992	za1 = wgtbtp1(jn)
[7351]	993	IF( ln_dynadv_vec .OR. ln_linssh ) THEN ! Sum velocities
[4292]	994	ua_b (:,:) = ua_b (:,:) + za1 * ua_e (:,:)
	995	va_b (:,:) = va_b (:,:) + za1 * va_e (:,:)
[7351]	996	ELSE ! Sum transports
[4292]	997	ua_b (:,:) = ua_b (:,:) + za1 * ua_e (:,:) * hu_e (:,:)
	998	va_b (:,:) = va_b (:,:) + za1 * va_e (:,:) * hv_e (:,:)
	999	ENDIF
	1000	! ! Sum sea level
	1001	ssha(:,:) = ssha(:,:) + za1 * ssha_e(:,:)
[358]	1002	! ! ==================== !
	1003	END DO ! end loop !
	1004	! ! ==================== !
[1438]	1005	! -----------------------------------------------------------------------------
[1502]	1006	! Phase 3. update the general trend with the barotropic trend
[1438]	1007	! -----------------------------------------------------------------------------
[1502]	1008	!
[4292]	1009	! Set advection velocity correction:
[5930]	1010	zwx(:,:) = un_adv(:,:)
	1011	zwy(:,:) = vn_adv(:,:)
[7351]	1012	IF( ( kt == nit000 .AND. neuler==0 ) .OR. .NOT.ln_bt_fw ) THEN
	1013	un_adv(:,:) = zwx(:,:) * r1_hu_n(:,:)
	1014	vn_adv(:,:) = zwy(:,:) * r1_hv_n(:,:)
[4292]	1015	ELSE
[7351]	1016	un_adv(:,:) = z1_2 * ( ub2_b(:,:) + zwx(:,:) ) * r1_hu_n(:,:)
	1017	vn_adv(:,:) = z1_2 * ( vb2_b(:,:) + zwy(:,:) ) * r1_hv_n(:,:)
[4292]	1018	END IF
	1019
[7351]	1020	IF( ln_bt_fw ) THEN ! Save integrated transport for next computation
[5930]	1021	ub2_b(:,:) = zwx(:,:)
	1022	vb2_b(:,:) = zwy(:,:)
[4292]	1023	ENDIF
	1024	!
	1025	! Update barotropic trend:
[7351]	1026	IF( ln_dynadv_vec .OR. ln_linssh ) THEN
[4292]	1027	DO jk=1,jpkm1
	1028	ua(:,:,jk) = ua(:,:,jk) + ( ua_b(:,:) - ub_b(:,:) ) * z1_2dt_b
	1029	va(:,:,jk) = va(:,:,jk) + ( va_b(:,:) - vb_b(:,:) ) * z1_2dt_b
	1030	END DO
	1031	ELSE
[5930]	1032	! At this stage, ssha has been corrected: compute new depths at velocity points
	1033	DO jj = 1, jpjm1
	1034	DO ji = 1, jpim1 ! NO Vector Opt.
	1035	zsshu_a(ji,jj) = z1_2 * umask(ji,jj,1) * r1_e1e2u(ji,jj) &
	1036	& * ( e1e2t(ji ,jj) * ssha(ji ,jj) &
	1037	& + e1e2t(ji+1,jj) * ssha(ji+1,jj) )
	1038	zsshv_a(ji,jj) = z1_2 * vmask(ji,jj,1) * r1_e1e2v(ji,jj) &
	1039	& * ( e1e2t(ji,jj ) * ssha(ji,jj ) &
	1040	& + e1e2t(ji,jj+1) * ssha(ji,jj+1) )
	1041	END DO
	1042	END DO
	1043	CALL lbc_lnk_multi( zsshu_a, 'U', 1._wp, zsshv_a, 'V', 1._wp ) ! Boundary conditions
	1044	!
[4292]	1045	DO jk=1,jpkm1
[7351]	1046	ua(:,:,jk) = ua(:,:,jk) + r1_hu_n(:,:) * ( ua_b(:,:) - ub_b(:,:) * hu_b(:,:) ) * z1_2dt_b
	1047	va(:,:,jk) = va(:,:,jk) + r1_hv_n(:,:) * ( va_b(:,:) - vb_b(:,:) * hv_b(:,:) ) * z1_2dt_b
[4292]	1048	END DO
	1049	! Save barotropic velocities not transport:
[7351]	1050	ua_b(:,:) = ua_b(:,:) / ( hu_0(:,:) + zsshu_a(:,:) + 1._wp - ssumask(:,:) )
	1051	va_b(:,:) = va_b(:,:) / ( hv_0(:,:) + zsshv_a(:,:) + 1._wp - ssvmask(:,:) )
[4292]	1052	ENDIF
	1053	!
	1054	DO jk = 1, jpkm1
	1055	! Correct velocities:
[7351]	1056	un(:,:,jk) = ( un(:,:,jk) + un_adv(:,:) - un_b(:,:) ) * umask(:,:,jk)
	1057	vn(:,:,jk) = ( vn(:,:,jk) + vn_adv(:,:) - vn_b(:,:) ) * vmask(:,:,jk)
[4292]	1058	!
[358]	1059	END DO
[1502]	1060	!
[7351]	1061	CALL iom_put( "ubar", un_adv(:,:) ) ! barotropic i-current
	1062	CALL iom_put( "vbar", vn_adv(:,:) ) ! barotropic i-current
	1063	!
[4486]	1064	#if defined key_agrif
	1065	! Save time integrated fluxes during child grid integration
[5656]	1066	! (used to update coarse grid transports at next time step)
[4486]	1067	!
[7351]	1068	IF( .NOT.Agrif_Root() .AND. ln_bt_fw ) THEN
	1069	IF( Agrif_NbStepint() == 0 ) THEN
	1070	ub2_i_b(:,:) = 0._wp
	1071	vb2_i_b(:,:) = 0._wp
[4486]	1072	END IF
	1073	!
	1074	za1 = 1._wp / REAL(Agrif_rhot(), wp)
	1075	ub2_i_b(:,:) = ub2_i_b(:,:) + za1 * ub2_b(:,:)
	1076	vb2_i_b(:,:) = vb2_i_b(:,:) + za1 * vb2_b(:,:)
	1077	ENDIF
	1078	#endif
[1502]	1079	! !* write time-spliting arrays in the restart
[7351]	1080	IF( lrst_oce .AND.ln_bt_fw ) CALL ts_rst( kt, 'WRITE' )
[508]	1081	!
[7351]	1082	CALL wrk_dealloc( jpi,jpj, zsshp2_e, zhdiv )
	1083	CALL wrk_dealloc( jpi,jpj, zu_trd, zv_trd )
	1084	CALL wrk_dealloc( jpi,jpj, zwx, zwy, zssh_frc, zu_frc, zv_frc )
	1085	CALL wrk_dealloc( jpi,jpj, zhup2_e, zhvp2_e, zhust_e, zhvst_e )
	1086	CALL wrk_dealloc( jpi,jpj, zsshu_a, zsshv_a )
	1087	CALL wrk_dealloc( jpi,jpj, zhf )
	1088	IF( ln_wd ) CALL wrk_dealloc( jpi, jpj, zcpx, zcpy, wduflt1, wdvflt1 )
[1662]	1089	!
[7351]	1090	IF ( ln_diatmb ) THEN
	1091	CALL iom_put( "baro_u" , un_bumask(:,:,1)+zmdi(1-umask(:,:,1 ) ) ) ! Barotropic U Velocity
	1092	CALL iom_put( "baro_v" , vn_bvmask(:,:,1)+zmdi(1-vmask(:,:,1 ) ) ) ! Barotropic V Velocity
	1093	ENDIF
[3294]	1094	IF( nn_timing == 1 ) CALL timing_stop('dyn_spg_ts')
[2715]	1095	!
[508]	1096	END SUBROUTINE dyn_spg_ts
	1097
[7351]	1098
[4292]	1099	SUBROUTINE ts_wgt( ll_av, ll_fw, jpit, zwgt1, zwgt2)
	1100	!!---------------------------------------------------------------------
	1101	!! * ROUTINE ts_wgt *
	1102	!!
	1103	!! ** Purpose : Set time-splitting weights for temporal averaging (or not)
	1104	!!----------------------------------------------------------------------
	1105	LOGICAL, INTENT(in) :: ll_av ! temporal averaging=.true.
	1106	LOGICAL, INTENT(in) :: ll_fw ! forward time splitting =.true.
	1107	INTEGER, INTENT(inout) :: jpit ! cycle length
	1108	REAL(wp), DIMENSION(3*nn_baro), INTENT(inout) :: zwgt1, & ! Primary weights
	1109	zwgt2 ! Secondary weights
	1110
	1111	INTEGER :: jic, jn, ji ! temporary integers
	1112	REAL(wp) :: za1, za2
	1113	!!----------------------------------------------------------------------
[508]	1114
[4292]	1115	zwgt1(:) = 0._wp
	1116	zwgt2(:) = 0._wp
	1117
	1118	! Set time index when averaged value is requested
	1119	IF (ll_fw) THEN
	1120	jic = nn_baro
	1121	ELSE
	1122	jic = 2 * nn_baro
	1123	ENDIF
	1124
	1125	! Set primary weights:
	1126	IF (ll_av) THEN
	1127	! Define simple boxcar window for primary weights
	1128	! (width = nn_baro, centered around jic)
	1129	SELECT CASE ( nn_bt_flt )
	1130	CASE( 0 ) ! No averaging
	1131	zwgt1(jic) = 1._wp
	1132	jpit = jic
	1133
	1134	CASE( 1 ) ! Boxcar, width = nn_baro
	1135	DO jn = 1, 3*nn_baro
	1136	za1 = ABS(float(jn-jic))/float(nn_baro)
	1137	IF (za1 < 0.5_wp) THEN
	1138	zwgt1(jn) = 1._wp
	1139	jpit = jn
	1140	ENDIF
	1141	ENDDO
	1142
	1143	CASE( 2 ) ! Boxcar, width = 2 * nn_baro
	1144	DO jn = 1, 3*nn_baro
	1145	za1 = ABS(float(jn-jic))/float(nn_baro)
	1146	IF (za1 < 1._wp) THEN
	1147	zwgt1(jn) = 1._wp
	1148	jpit = jn
	1149	ENDIF
	1150	ENDDO
	1151	CASE DEFAULT ; CALL ctl_stop( 'unrecognised value for nn_bt_flt' )
	1152	END SELECT
	1153
	1154	ELSE ! No time averaging
	1155	zwgt1(jic) = 1._wp
	1156	jpit = jic
	1157	ENDIF
	1158
	1159	! Set secondary weights
	1160	DO jn = 1, jpit
	1161	DO ji = jn, jpit
	1162	zwgt2(jn) = zwgt2(jn) + zwgt1(ji)
	1163	END DO
	1164	END DO
	1165
	1166	! Normalize weigths:
	1167	za1 = 1._wp / SUM(zwgt1(1:jpit))
	1168	za2 = 1._wp / SUM(zwgt2(1:jpit))
	1169	DO jn = 1, jpit
	1170	zwgt1(jn) = zwgt1(jn) * za1
	1171	zwgt2(jn) = zwgt2(jn) * za2
	1172	END DO
	1173	!
	1174	END SUBROUTINE ts_wgt
	1175
[7351]	1176
[508]	1177	SUBROUTINE ts_rst( kt, cdrw )
	1178	!!---------------------------------------------------------------------
	1179	!! * ROUTINE ts_rst *
	1180	!!
	1181	!! ** Purpose : Read or write time-splitting arrays in restart file
	1182	!!----------------------------------------------------------------------
	1183	INTEGER , INTENT(in) :: kt ! ocean time-step
	1184	CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag
	1185	!
	1186	!!----------------------------------------------------------------------
	1187	!
	1188	IF( TRIM(cdrw) == 'READ' ) THEN
[4292]	1189	CALL iom_get( numror, jpdom_autoglo, 'ub2_b' , ub2_b (:,:) )
	1190	CALL iom_get( numror, jpdom_autoglo, 'vb2_b' , vb2_b (:,:) )
[4370]	1191	IF( .NOT.ln_bt_av ) THEN
[4292]	1192	CALL iom_get( numror, jpdom_autoglo, 'sshbb_e' , sshbb_e(:,:) )
	1193	CALL iom_get( numror, jpdom_autoglo, 'ubb_e' , ubb_e(:,:) )
	1194	CALL iom_get( numror, jpdom_autoglo, 'vbb_e' , vbb_e(:,:) )
	1195	CALL iom_get( numror, jpdom_autoglo, 'sshb_e' , sshb_e(:,:) )
	1196	CALL iom_get( numror, jpdom_autoglo, 'ub_e' , ub_e(:,:) )
	1197	CALL iom_get( numror, jpdom_autoglo, 'vb_e' , vb_e(:,:) )
[508]	1198	ENDIF
[4486]	1199	#if defined key_agrif
	1200	! Read time integrated fluxes
	1201	IF ( .NOT.Agrif_Root() ) THEN
	1202	CALL iom_get( numror, jpdom_autoglo, 'ub2_i_b' , ub2_i_b(:,:) )
	1203	CALL iom_get( numror, jpdom_autoglo, 'vb2_i_b' , vb2_i_b(:,:) )
	1204	ENDIF
	1205	#endif
[4292]	1206	!
	1207	ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN
	1208	CALL iom_rstput( kt, nitrst, numrow, 'ub2_b' , ub2_b (:,:) )
	1209	CALL iom_rstput( kt, nitrst, numrow, 'vb2_b' , vb2_b (:,:) )
	1210	!
	1211	IF (.NOT.ln_bt_av) THEN
	1212	CALL iom_rstput( kt, nitrst, numrow, 'sshbb_e' , sshbb_e(:,:) )
	1213	CALL iom_rstput( kt, nitrst, numrow, 'ubb_e' , ubb_e(:,:) )
	1214	CALL iom_rstput( kt, nitrst, numrow, 'vbb_e' , vbb_e(:,:) )
	1215	CALL iom_rstput( kt, nitrst, numrow, 'sshb_e' , sshb_e(:,:) )
	1216	CALL iom_rstput( kt, nitrst, numrow, 'ub_e' , ub_e(:,:) )
	1217	CALL iom_rstput( kt, nitrst, numrow, 'vb_e' , vb_e(:,:) )
	1218	ENDIF
[4486]	1219	#if defined key_agrif
	1220	! Save time integrated fluxes
	1221	IF ( .NOT.Agrif_Root() ) THEN
	1222	CALL iom_rstput( kt, nitrst, numrow, 'ub2_i_b' , ub2_i_b(:,:) )
	1223	CALL iom_rstput( kt, nitrst, numrow, 'vb2_i_b' , vb2_i_b(:,:) )
	1224	ENDIF
	1225	#endif
[4292]	1226	ENDIF
	1227	!
	1228	END SUBROUTINE ts_rst
[2528]	1229
[7351]	1230
	1231	SUBROUTINE dyn_spg_ts_init
[4292]	1232	!!---------------------------------------------------------------------
	1233	!! * ROUTINE dyn_spg_ts_init *
	1234	!!
	1235	!! ** Purpose : Set time splitting options
	1236	!!----------------------------------------------------------------------
[7351]	1237	INTEGER :: ji ,jj ! dummy loop indices
	1238	REAL(wp) :: zxr2, zyr2, zcmax ! local scalar
	1239	REAL(wp), POINTER, DIMENSION(:,:) :: zcu
[4292]	1240	!!----------------------------------------------------------------------
[4370]	1241	!
[5930]	1242	! Max courant number for ext. grav. waves
[4370]	1243	!
[7351]	1244	CALL wrk_alloc( jpi,jpj, zcu )
[4292]	1245	!
[5930]	1246	DO jj = 1, jpj
	1247	DO ji =1, jpi
	1248	zxr2 = r1_e1t(ji,jj) * r1_e1t(ji,jj)
	1249	zyr2 = r1_e2t(ji,jj) * r1_e2t(ji,jj)
	1250	zcu(ji,jj) = SQRT( grav * ht_0(ji,jj) * (zxr2 + zyr2) )
[4370]	1251	END DO
[5930]	1252	END DO
	1253	!
[5836]	1254	zcmax = MAXVAL( zcu(:,:) )
[4292]	1255	IF( lk_mpp ) CALL mpp_max( zcmax )
[2528]	1256
[4370]	1257	! Estimate number of iterations to satisfy a max courant number= rn_bt_cmax
[7351]	1258	IF( ln_bt_auto ) nn_baro = CEILING( rdt / rn_bt_cmax * zcmax)
[4292]	1259
[5836]	1260	rdtbt = rdt / REAL( nn_baro , wp )
[4292]	1261	zcmax = zcmax * rdtbt
	1262	! Print results
	1263	IF(lwp) WRITE(numout,*)
	1264	IF(lwp) WRITE(numout,*) 'dyn_spg_ts : split-explicit free surface'
	1265	IF(lwp) WRITE(numout,*) '~~~~~~~~~~'
[5930]	1266	IF( ln_bt_auto ) THEN
	1267	IF(lwp) WRITE(numout,*) ' ln_ts_auto=.true. Automatically set nn_baro '
[4370]	1268	IF(lwp) WRITE(numout,*) ' Max. courant number allowed: ', rn_bt_cmax
[4292]	1269	ELSE
[5930]	1270	IF(lwp) WRITE(numout,*) ' ln_ts_auto=.false.: Use nn_baro in namelist '
[358]	1271	ENDIF
[4292]	1272
	1273	IF(ln_bt_av) THEN
[4370]	1274	IF(lwp) WRITE(numout,*) ' ln_bt_av=.true. => Time averaging over nn_baro time steps is on '
[4292]	1275	ELSE
[4370]	1276	IF(lwp) WRITE(numout,*) ' ln_bt_av=.false. => No time averaging of barotropic variables '
[4292]	1277	ENDIF
[508]	1278	!
[4292]	1279	!
	1280	IF(ln_bt_fw) THEN
[4370]	1281	IF(lwp) WRITE(numout,*) ' ln_bt_fw=.true. => Forward integration of barotropic variables '
[4292]	1282	ELSE
[4370]	1283	IF(lwp) WRITE(numout,*) ' ln_bt_fw =.false.=> Centred integration of barotropic variables '
[4292]	1284	ENDIF
	1285	!
[4486]	1286	#if defined key_agrif
	1287	! Restrict the use of Agrif to the forward case only
[7351]	1288	IF( .NOT.ln_bt_fw .AND. .NOT.Agrif_Root() ) CALL ctl_stop( 'AGRIF not implemented if ln_bt_fw=.FALSE.' )
[4486]	1289	#endif
	1290	!
[4370]	1291	IF(lwp) WRITE(numout,*) ' Time filter choice, nn_bt_flt: ', nn_bt_flt
[4292]	1292	SELECT CASE ( nn_bt_flt )
[7351]	1293	CASE( 0 ) ; IF(lwp) WRITE(numout,*) ' Dirac'
	1294	CASE( 1 ) ; IF(lwp) WRITE(numout,*) ' Boxcar: width = nn_baro'
	1295	CASE( 2 ) ; IF(lwp) WRITE(numout,) ' Boxcar: width = 2nn_baro'
	1296	CASE DEFAULT ; CALL ctl_stop( 'unrecognised value for nn_bt_flt: should 0,1,2' )
[4292]	1297	END SELECT
	1298	!
[4370]	1299	IF(lwp) WRITE(numout,*) ' '
	1300	IF(lwp) WRITE(numout,*) ' nn_baro = ', nn_baro
	1301	IF(lwp) WRITE(numout,*) ' Barotropic time step [s] is :', rdtbt
	1302	IF(lwp) WRITE(numout,*) ' Maximum Courant number is :', zcmax
	1303	!
[7351]	1304	IF( .NOT.ln_bt_av .AND. .NOT.ln_bt_fw ) THEN
[4292]	1305	CALL ctl_stop( 'dynspg_ts ERROR: No time averaging => only forward integration is possible' )
	1306	ENDIF
[7351]	1307	IF( zcmax>0.9_wp ) THEN
[4292]	1308	CALL ctl_stop( 'dynspg_ts ERROR: Maximum Courant number is greater than 0.9: Inc. nn_baro !' )
	1309	ENDIF
	1310	!
[7351]	1311	CALL wrk_dealloc( jpi,jpj, zcu )
[4292]	1312	!
	1313	END SUBROUTINE dyn_spg_ts_init
[508]	1314
[358]	1315	!!======================================================================
	1316	END MODULE dynspg_ts

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