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dynspg_ts.F90 @ 7831

Last change on this file since 7831 was 7831, checked in by jamesharle, 7 years ago
Remove key_tide from dynspg_ts.F90 (ticket #1874)
Property svn:keywords set to `Id`
File size: 63.5 KB

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[358]	1	MODULE dynspg_ts
	2	!!======================================================================
[6140]	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
[7646]	17	!! - ! 2016-12 (G. Madec, E. Clementi) update for Stoke-Drift divergence
[2724]	18	!!---------------------------------------------------------------------
[6140]	19
[358]	20	!!----------------------------------------------------------------------
[6140]	21	!! dyn_spg_ts : compute surface pressure gradient trend using a time-splitting scheme
	22	!! dyn_spg_ts_init: initialisation of the time-splitting scheme
	23	!! ts_wgt : set time-splitting weights for temporal averaging (or not)
	24	!! ts_rst : read/write time-splitting fields in restart file
[358]	25	!!----------------------------------------------------------------------
	26	USE oce ! ocean dynamics and tracers
	27	USE dom_oce ! ocean space and time domain
[888]	28	USE sbc_oce ! surface boundary condition: ocean
[6140]	29	USE zdf_oce ! Bottom friction coefts
[5120]	30	USE sbcisf ! ice shelf variable (fwfisf)
[6140]	31	USE sbcapr ! surface boundary condition: atmospheric pressure
	32	USE dynadv , ONLY: ln_dynadv_vec
[358]	33	USE phycst ! physical constants
	34	USE dynvor ! vorticity term
[6152]	35	USE wet_dry ! wetting/drying flux limter
[7646]	36	USE bdy_oce ! open boundary
[5930]	37	USE bdytides ! open boundary condition data
[3294]	38	USE bdydyn2d ! open boundary conditions on barotropic variables
[4292]	39	USE sbctide ! tides
	40	USE updtide ! tide potential
[7646]	41	USE sbcwave ! surface wave
[6140]	42	!
	43	USE in_out_manager ! I/O manager
[358]	44	USE lib_mpp ! distributed memory computing library
	45	USE lbclnk ! ocean lateral boundary conditions (or mpp link)
	46	USE prtctl ! Print control
[2715]	47	USE iom ! IOM library
[4292]	48	USE restart ! only for lrst_oce
[3294]	49	USE wrk_nemo ! Memory Allocation
[4292]	50	USE timing ! Timing
[6140]	51	USE diatmb ! Top,middle,bottom output
[4292]	52	#if defined key_agrif
	53	USE agrif_opa_interp ! agrif
	54	#endif
[4757]	55	#if defined key_asminc
	56	USE asminc ! Assimilation increment
	57	#endif
[358]	58
[6140]	59
[358]	60	IMPLICIT NONE
	61	PRIVATE
	62
[4292]	63	PUBLIC dyn_spg_ts ! routine called in dynspg.F90
	64	PUBLIC dyn_spg_ts_alloc ! " " " "
	65	PUBLIC dyn_spg_ts_init ! " " " "
[4496]	66	PUBLIC ts_rst ! " " " "
[358]	67
[4292]	68	INTEGER, SAVE :: icycle ! Number of barotropic sub-steps for each internal step nn_baro <= 2.5 nn_baro
	69	REAL(wp),SAVE :: rdtbt ! Barotropic time step
	70
[6140]	71	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:) :: wgtbtp1, wgtbtp2 !: 1st & 2nd weights used in time filtering of barotropic fields
[4292]	72
[7646]	73	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: zwz !: ff_f/h at F points
[6140]	74	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ftnw, ftne !: triad of coriolis parameter
	75	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ftsw, ftse !: (only used with een vorticity scheme)
[508]	76
[6140]	77	!! Time filtered arrays at baroclinic time step:
	78	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: un_adv , vn_adv !: Advection vel. at "now" barocl. step
	79
[358]	80	!! * Substitutions
	81	# include "vectopt_loop_substitute.h90"
[2715]	82	!!----------------------------------------------------------------------
[4292]	83	!! NEMO/OPA 3.5 , NEMO Consortium (2013)
[5217]	84	!! $Id$
[2715]	85	!! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt)
	86	!!----------------------------------------------------------------------
[358]	87	CONTAINS
	88
[2715]	89	INTEGER FUNCTION dyn_spg_ts_alloc()
	90	!!----------------------------------------------------------------------
	91	!! * routine dyn_spg_ts_alloc *
	92	!!----------------------------------------------------------------------
[6140]	93	INTEGER :: ierr(3)
[4292]	94	!!----------------------------------------------------------------------
	95	ierr(:) = 0
[6140]	96	!
	97	ALLOCATE( wgtbtp1(3nn_baro), wgtbtp2(3nn_baro), zwz(jpi,jpj), STAT=ierr(1) )
	98	!
	99	IF( ln_dynvor_een ) ALLOCATE( ftnw(jpi,jpj) , ftne(jpi,jpj) , &
	100	& ftsw(jpi,jpj) , ftse(jpi,jpj) , STAT=ierr(2) )
	101	!
	102	ALLOCATE( un_adv(jpi,jpj), vn_adv(jpi,jpj) , STAT=ierr(3) )
	103	!
	104	dyn_spg_ts_alloc = MAXVAL( ierr(:) )
	105	!
[2715]	106	IF( lk_mpp ) CALL mpp_sum( dyn_spg_ts_alloc )
[5930]	107	IF( dyn_spg_ts_alloc /= 0 ) CALL ctl_warn('dyn_spg_ts_alloc: failed to allocate arrays')
[2715]	108	!
	109	END FUNCTION dyn_spg_ts_alloc
	110
[5836]	111
[358]	112	SUBROUTINE dyn_spg_ts( kt )
	113	!!----------------------------------------------------------------------
	114	!!
[6140]	115	!! ** Purpose : - Compute the now trend due to the explicit time stepping
	116	!! of the quasi-linear barotropic system, and add it to the
	117	!! general momentum trend.
[358]	118	!!
[6140]	119	!! ** Method : - split-explicit schem (time splitting) :
[4374]	120	!! Barotropic variables are advanced from internal time steps
	121	!! "n" to "n+1" if ln_bt_fw=T
	122	!! or from
	123	!! "n-1" to "n+1" if ln_bt_fw=F
	124	!! thanks to a generalized forward-backward time stepping (see ref. below).
[358]	125	!!
[4374]	126	!! ** Action :
	127	!! -Update the filtered free surface at step "n+1" : ssha
	128	!! -Update filtered barotropic velocities at step "n+1" : ua_b, va_b
	129	!! -Compute barotropic advective velocities at step "n" : un_adv, vn_adv
	130	!! These are used to advect tracers and are compliant with discrete
	131	!! continuity equation taken at the baroclinic time steps. This
	132	!! ensures tracers conservation.
[6140]	133	!! - (ua, va) momentum trend updated with barotropic component.
[358]	134	!!
[6140]	135	!! References : Shchepetkin and McWilliams, Ocean Modelling, 2005.
[358]	136	!!---------------------------------------------------------------------
[1502]	137	INTEGER, INTENT(in) :: kt ! ocean time-step index
[2715]	138	!
[4292]	139	LOGICAL :: ll_fw_start ! if true, forward integration
[4374]	140	LOGICAL :: ll_init ! if true, special startup of 2d equations
[6152]	141	LOGICAL :: ll_tmp1, ll_tmp2 ! local logical variables used in W/D
[4292]	142	INTEGER :: ji, jj, jk, jn ! dummy loop indices
	143	INTEGER :: ikbu, ikbv, noffset ! local integers
[6140]	144	INTEGER :: iktu, iktv ! local integers
	145	REAL(wp) :: zmdi
[4292]	146	REAL(wp) :: zraur, z1_2dt_b, z2dt_bf ! local scalars
[5930]	147	REAL(wp) :: zx1, zy1, zx2, zy2 ! - -
	148	REAL(wp) :: z1_12, z1_8, z1_4, z1_2 ! - -
	149	REAL(wp) :: zu_spg, zv_spg ! - -
	150	REAL(wp) :: zhura, zhvra ! - -
	151	REAL(wp) :: za0, za1, za2, za3 ! - -
[3294]	152	!
[5930]	153	REAL(wp), POINTER, DIMENSION(:,:) :: zsshp2_e
[4292]	154	REAL(wp), POINTER, DIMENSION(:,:) :: zu_trd, zv_trd, zu_frc, zv_frc, zssh_frc
[5930]	155	REAL(wp), POINTER, DIMENSION(:,:) :: zwx, zwy, zhdiv
[4292]	156	REAL(wp), POINTER, DIMENSION(:,:) :: zhup2_e, zhvp2_e, zhust_e, zhvst_e
	157	REAL(wp), POINTER, DIMENSION(:,:) :: zsshu_a, zsshv_a
[4370]	158	REAL(wp), POINTER, DIMENSION(:,:) :: zhf
[6152]	159	REAL(wp), POINTER, DIMENSION(:,:) :: zcpx, zcpy ! Wetting/Dying gravity filter coef.
[358]	160	!!----------------------------------------------------------------------
[3294]	161	!
	162	IF( nn_timing == 1 ) CALL timing_start('dyn_spg_ts')
	163	!
[4374]	164	! !* Allocate temporary arrays
[6140]	165	CALL wrk_alloc( jpi,jpj, zsshp2_e, zhdiv )
	166	CALL wrk_alloc( jpi,jpj, zu_trd, zv_trd)
	167	CALL wrk_alloc( jpi,jpj, zwx, zwy, zssh_frc, zu_frc, zv_frc)
	168	CALL wrk_alloc( jpi,jpj, zhup2_e, zhvp2_e, zhust_e, zhvst_e)
[6152]	169	CALL wrk_alloc( jpi,jpj, zsshu_a, zsshv_a )
[6140]	170	CALL wrk_alloc( jpi,jpj, zhf )
[7646]	171	IF( ln_wd ) CALL wrk_alloc( jpi, jpj, zcpx, zcpy )
[3294]	172	!
[6140]	173	zmdi=1.e+20 ! missing data indicator for masking
[4292]	174	! !* Local constant initialization
	175	z1_12 = 1._wp / 12._wp
	176	z1_8 = 0.125_wp
	177	z1_4 = 0.25_wp
	178	z1_2 = 0.5_wp
	179	zraur = 1._wp / rau0
[6140]	180	! ! reciprocal of baroclinic time step
	181	IF( kt == nit000 .AND. neuler == 0 ) THEN ; z2dt_bf = rdt
	182	ELSE ; z2dt_bf = 2.0_wp * rdt
[4292]	183	ENDIF
	184	z1_2dt_b = 1.0_wp / z2dt_bf
	185	!
[6140]	186	ll_init = ln_bt_av ! if no time averaging, then no specific restart
[4292]	187	ll_fw_start = .FALSE.
[6140]	188	! ! time offset in steps for bdy data update
	189	IF( .NOT.ln_bt_fw ) THEN ; noffset = - nn_baro
	190	ELSE ; noffset = 0
	191	ENDIF
[4292]	192	!
	193	IF( kt == nit000 ) THEN !* initialisation
[508]	194	!
[358]	195	IF(lwp) WRITE(numout,*)
	196	IF(lwp) WRITE(numout,*) 'dyn_spg_ts : surface pressure gradient trend'
	197	IF(lwp) WRITE(numout,*) '~~~~~~~~~~ free surface with time splitting'
[4354]	198	IF(lwp) WRITE(numout,*)
[1502]	199	!
[6140]	200	IF( neuler == 0 ) ll_init=.TRUE.
[1502]	201	!
[6140]	202	IF( ln_bt_fw .OR. neuler == 0 ) THEN
	203	ll_fw_start =.TRUE.
	204	noffset = 0
[4292]	205	ELSE
[6140]	206	ll_fw_start =.FALSE.
[4292]	207	ENDIF
	208	!
	209	! Set averaging weights and cycle length:
[6140]	210	CALL ts_wgt( ln_bt_av, ll_fw_start, icycle, wgtbtp1, wgtbtp2 )
[4292]	211	!
	212	ENDIF
	213	!
	214	! Set arrays to remove/compute coriolis trend.
	215	! Do it once at kt=nit000 if volume is fixed, else at each long time step.
	216	! Note that these arrays are also used during barotropic loop. These are however frozen
[4374]	217	! although they should be updated in the variable volume case. Not a big approximation.
[4292]	218	! To remove this approximation, copy lines below inside barotropic loop
[4374]	219	! and update depths at T-F points (ht and zhf resp.) at each barotropic time step
[4292]	220	!
[6140]	221	IF( kt == nit000 .OR. .NOT.ln_linssh ) THEN
	222	IF( ln_dynvor_een ) THEN !== EEN scheme ==!
[7646]	223	SELECT CASE( nn_een_e3f ) !* ff_f/e3 at F-point
[5836]	224	CASE ( 0 ) ! original formulation (masked averaging of e3t divided by 4)
	225	DO jj = 1, jpjm1
	226	DO ji = 1, jpim1
[6140]	227	zwz(ji,jj) = ( ht_n(ji ,jj+1) + ht_n(ji+1,jj+1) + &
	228	& ht_n(ji ,jj ) + ht_n(ji+1,jj ) ) * 0.25_wp
[7646]	229	IF( zwz(ji,jj) /= 0._wp ) zwz(ji,jj) = ff_f(ji,jj) / zwz(ji,jj)
[5836]	230	END DO
[5032]	231	END DO
[5836]	232	CASE ( 1 ) ! new formulation (masked averaging of e3t divided by the sum of mask)
	233	DO jj = 1, jpjm1
	234	DO ji = 1, jpim1
[6140]	235	zwz(ji,jj) = ( ht_n(ji ,jj+1) + ht_n(ji+1,jj+1) + &
	236	& ht_n(ji ,jj ) + ht_n(ji+1,jj ) ) &
[5836]	237	& / ( MAX( 1._wp, tmask(ji ,jj+1, 1) + tmask(ji+1,jj+1, 1) + &
[4292]	238	& tmask(ji ,jj , 1) + tmask(ji+1,jj , 1) ) )
[7646]	239	IF( zwz(ji,jj) /= 0._wp ) zwz(ji,jj) = ff_f(ji,jj) / zwz(ji,jj)
[5836]	240	END DO
[4292]	241	END DO
[5836]	242	END SELECT
[4292]	243	CALL lbc_lnk( zwz, 'F', 1._wp )
[5836]	244	!
[7753]	245	ftne(1,:) = 0._wp ; ftnw(1,:) = 0._wp ; ftse(1,:) = 0._wp ; ftsw(1,:) = 0._wp
[358]	246	DO jj = 2, jpj
[5836]	247	DO ji = 2, jpi
[4292]	248	ftne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1)
	249	ftnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj )
	250	ftse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1)
	251	ftsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj )
[358]	252	END DO
	253	END DO
[5836]	254	!
	255	ELSE !== all other schemes (ENE, ENS, MIX)
[7753]	256	zwz(:,:) = 0._wp
	257	zhf(:,:) = 0._wp
[7646]	258
	259	!!gm assume 0 in both cases (xhich is almost surely WRONG ! ) as hvatf has been removed
	260	!!gm A priori a better value should be something like :
	261	!!gm zhf(i,j) = masked sum of ht(i,j) , ht(i+1,j) , ht(i,j+1) , (i+1,j+1)
	262	!!gm divided by the sum of the corresponding mask
	263	!!gm
	264	!!
	265	IF ( .not. ln_sco ) THEN
	266
	267	!!gm agree the JC comment : this should be done in a much clear way
	268
	269	! JC: It not clear yet what should be the depth at f-points over land in z-coordinate case
	270	! Set it to zero for the time being
	271	! IF( rn_hmin < 0._wp ) THEN ; jk = - INT( rn_hmin ) ! from a nb of level
	272	! ELSE ; jk = MINLOC( gdepw_0, mask = gdepw_0 > rn_hmin, dim = 1 ) ! from a depth
	273	! ENDIF
	274	! zhf(:,:) = gdepw_0(:,:,jk+1)
	275	ELSE
	276	!zhf(:,:) = hbatf(:,:)
	277	DO jj = 1, jpjm1
	278	DO ji = 1, jpim1
	279	zhf(ji,jj) = MAX( 0._wp, &
	280	& ( ht_0(ji ,jj )*tmask(ji ,jj ,1) + &
	281	& ht_0(ji+1,jj )*tmask(ji+1,jj ,1) + &
	282	& ht_0(ji ,jj+1)*tmask(ji ,jj+1,1) + &
	283	& ht_0(ji+1,jj+1)*tmask(ji+1,jj+1,1) ) / &
	284	& ( tmask(ji ,jj ,1) + tmask(ji+1,jj ,1) +&
	285	& tmask(ji ,jj+1,1) + tmask(ji+1,jj+1,1) +&
	286	& rsmall ) )
	287	END DO
	288	END DO
	289	END IF
	290
	291	DO jj = 1, jpjm1
[7753]	292	zhf(:,jj) = zhf(:,jj) * (1._wp- umask(:,jj,1) * umask(:,jj+1,1))
[7646]	293	END DO
	294	!!gm end
[5836]	295
[4292]	296	DO jk = 1, jpkm1
	297	DO jj = 1, jpjm1
[7753]	298	zhf(:,jj) = zhf(:,jj) + e3f_n(:,jj,jk) * umask(:,jj,jk) * umask(:,jj+1,jk)
[4292]	299	END DO
	300	END DO
[4370]	301	CALL lbc_lnk( zhf, 'F', 1._wp )
[4292]	302	! JC: TBC. hf should be greater than 0
	303	DO jj = 1, jpj
	304	DO ji = 1, jpi
[4370]	305	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]	306	END DO
	307	END DO
[7753]	308	zwz(:,:) = ff_f(:,:) * zwz(:,:)
[358]	309	ENDIF
[508]	310	ENDIF
[1502]	311	!
[4292]	312	! If forward start at previous time step, and centered integration,
	313	! then update averaging weights:
[5836]	314	IF (.NOT.ln_bt_fw .AND.( neuler==0 .AND. kt==nit000+1 ) ) THEN
[4292]	315	ll_fw_start=.FALSE.
	316	CALL ts_wgt(ln_bt_av, ll_fw_start, icycle, wgtbtp1, wgtbtp2)
	317	ENDIF
	318
[358]	319	! -----------------------------------------------------------------------------
	320	! Phase 1 : Coupling between general trend and barotropic estimates (1st step)
	321	! -----------------------------------------------------------------------------
[1502]	322	!
[4292]	323	!
[4354]	324	! !* e3*d/dt(Ua) (Vertically integrated)
[4292]	325	! ! --------------------------------------------------
[7753]	326	zu_frc(:,:) = 0._wp
	327	zv_frc(:,:) = 0._wp
[1502]	328	!
	329	DO jk = 1, jpkm1
[7753]	330	zu_frc(:,:) = zu_frc(:,:) + e3u_n(:,:,jk) * ua(:,:,jk) * umask(:,:,jk)
	331	zv_frc(:,:) = zv_frc(:,:) + e3v_n(:,:,jk) * va(:,:,jk) * vmask(:,:,jk)
[1502]	332	END DO
[4292]	333	!
[7753]	334	zu_frc(:,:) = zu_frc(:,:) * r1_hu_n(:,:)
	335	zv_frc(:,:) = zv_frc(:,:) * r1_hv_n(:,:)
[4292]	336	!
[7753]	337	!
[1502]	338	! !* baroclinic momentum trend (remove the vertical mean trend)
[4292]	339	DO jk = 1, jpkm1 ! -----------------------------------------------------------
[1502]	340	DO jj = 2, jpjm1
	341	DO ji = fs_2, fs_jpim1 ! vector opt.
[4292]	342	ua(ji,jj,jk) = ua(ji,jj,jk) - zu_frc(ji,jj) * umask(ji,jj,jk)
	343	va(ji,jj,jk) = va(ji,jj,jk) - zv_frc(ji,jj) * vmask(ji,jj,jk)
[1502]	344	END DO
[358]	345	END DO
[1502]	346	END DO
[7646]	347
	348	!!gm Question here when removing the Vertically integrated trends, we remove the vertically integrated NL trends on momentum....
	349	!!gm Is it correct to do so ? I think so...
	350
	351
[4292]	352	! !* barotropic Coriolis trends (vorticity scheme dependent)
	353	! ! --------------------------------------------------------
[7753]	354	zwx(:,:) = un_b(:,:) * hu_n(:,:) * e2u(:,:) ! now fluxes
	355	zwy(:,:) = vn_b(:,:) * hv_n(:,:) * e1v(:,:)
[1502]	356	!
[358]	357	IF( ln_dynvor_ene .OR. ln_dynvor_mix ) THEN ! energy conserving or mixed scheme
	358	DO jj = 2, jpjm1
	359	DO ji = fs_2, fs_jpim1 ! vector opt.
[5836]	360	zy1 = ( zwy(ji,jj-1) + zwy(ji+1,jj-1) ) * r1_e1u(ji,jj)
	361	zy2 = ( zwy(ji,jj ) + zwy(ji+1,jj ) ) * r1_e1u(ji,jj)
	362	zx1 = ( zwx(ji-1,jj) + zwx(ji-1,jj+1) ) * r1_e2v(ji,jj)
	363	zx2 = ( zwx(ji ,jj) + zwx(ji ,jj+1) ) * r1_e2v(ji,jj)
[358]	364	! energy conserving formulation for planetary vorticity term
[4292]	365	zu_trd(ji,jj) = z1_4 * ( zwz(ji ,jj-1) * zy1 + zwz(ji,jj) * zy2 )
	366	zv_trd(ji,jj) =-z1_4 * ( zwz(ji-1,jj ) * zx1 + zwz(ji,jj) * zx2 )
[358]	367	END DO
	368	END DO
[508]	369	!
[4374]	370	ELSEIF ( ln_dynvor_ens ) THEN ! enstrophy conserving scheme
[358]	371	DO jj = 2, jpjm1
	372	DO ji = fs_2, fs_jpim1 ! vector opt.
[4292]	373	zy1 = z1_8 * ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) &
[5836]	374	& + zwy(ji ,jj ) + zwy(ji+1,jj ) ) * r1_e1u(ji,jj)
[4292]	375	zx1 = - z1_8 * ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) &
[5836]	376	& + zwx(ji ,jj ) + zwx(ji ,jj+1) ) * r1_e2v(ji,jj)
[4292]	377	zu_trd(ji,jj) = zy1 * ( zwz(ji ,jj-1) + zwz(ji,jj) )
	378	zv_trd(ji,jj) = zx1 * ( zwz(ji-1,jj ) + zwz(ji,jj) )
[358]	379	END DO
	380	END DO
[508]	381	!
[5836]	382	ELSEIF ( ln_dynvor_een ) THEN ! enstrophy and energy conserving scheme
[358]	383	DO jj = 2, jpjm1
	384	DO ji = fs_2, fs_jpim1 ! vector opt.
[5836]	385	zu_trd(ji,jj) = + z1_12 * r1_e1u(ji,jj) * ( ftne(ji,jj ) * zwy(ji ,jj ) &
	386	& + ftnw(ji+1,jj) * zwy(ji+1,jj ) &
	387	& + ftse(ji,jj ) * zwy(ji ,jj-1) &
	388	& + ftsw(ji+1,jj) * zwy(ji+1,jj-1) )
	389	zv_trd(ji,jj) = - z1_12 * r1_e2v(ji,jj) * ( ftsw(ji,jj+1) * zwx(ji-1,jj+1) &
	390	& + ftse(ji,jj+1) * zwx(ji ,jj+1) &
	391	& + ftnw(ji,jj ) * zwx(ji-1,jj ) &
	392	& + ftne(ji,jj ) * zwx(ji ,jj ) )
[358]	393	END DO
	394	END DO
[508]	395	!
[4292]	396	ENDIF
	397	!
[1502]	398	! !* Right-Hand-Side of the barotropic momentum equation
	399	! ! ----------------------------------------------------
[6140]	400	IF( .NOT.ln_linssh ) THEN ! Variable volume : remove surface pressure gradient
[6152]	401	IF( ln_wd ) THEN ! Calculating and applying W/D gravity filters
[7646]	402	DO jj = 2, jpjm1
	403	DO ji = 2, jpim1
	404	ll_tmp1 = MIN( sshn(ji,jj) , sshn(ji+1,jj) ) > &
	405	& MAX( -ht_wd(ji,jj) , -ht_wd(ji+1,jj) ) .AND. &
	406	& MAX( sshn(ji,jj) + ht_wd(ji,jj), sshn(ji+1,jj) + ht_wd(ji+1,jj) ) &
	407	& > rn_wdmin1 + rn_wdmin2
	408	ll_tmp2 = ( ABS( sshn(ji+1,jj) - sshn(ji ,jj)) > 1.E-12 ).AND.( &
	409	& MAX( sshn(ji,jj) , sshn(ji+1,jj) ) > &
	410	& MAX( -ht_wd(ji,jj) , -ht_wd(ji+1,jj) ) + rn_wdmin1 + rn_wdmin2 )
	411
[6152]	412	IF(ll_tmp1) THEN
[7646]	413	zcpx(ji,jj) = 1.0_wp
	414	ELSE IF(ll_tmp2) THEN
	415	! no worries about sshn(ji+1,jj) - sshn(ji ,jj) = 0, it won't happen ! here
	416	zcpx(ji,jj) = ABS( (sshn(ji+1,jj) + ht_wd(ji+1,jj) - sshn(ji,jj) - ht_wd(ji,jj)) &
	417	& / (sshn(ji+1,jj) - sshn(ji ,jj)) )
[6152]	418	ELSE
[7646]	419	zcpx(ji,jj) = 0._wp
[6152]	420	END IF
[7646]	421
	422	ll_tmp1 = MIN( sshn(ji,jj) , sshn(ji,jj+1) ) > &
	423	& MAX( -ht_wd(ji,jj) , -ht_wd(ji,jj+1) ) .AND. &
	424	& MAX( sshn(ji,jj) + ht_wd(ji,jj), sshn(ji,jj+1) + ht_wd(ji,jj+1) ) &
	425	& > rn_wdmin1 + rn_wdmin2
	426	ll_tmp2 = ( ABS( sshn(ji,jj) - sshn(ji,jj+1)) > 1.E-12 ).AND.( &
	427	& MAX( sshn(ji,jj) , sshn(ji,jj+1) ) > &
	428	& MAX( -ht_wd(ji,jj) , -ht_wd(ji,jj+1) ) + rn_wdmin1 + rn_wdmin2 )
	429
[6152]	430	IF(ll_tmp1) THEN
[7646]	431	zcpy(ji,jj) = 1.0_wp
	432	ELSE IF(ll_tmp2) THEN
	433	! no worries about sshn(ji,jj+1) - sshn(ji,jj ) = 0, it won't happen ! here
	434	zcpy(ji,jj) = ABS( (sshn(ji,jj+1) + ht_wd(ji,jj+1) - sshn(ji,jj) - ht_wd(ji,jj)) &
	435	& / (sshn(ji,jj+1) - sshn(ji,jj )) )
[6152]	436	ELSE
[7646]	437	zcpy(ji,jj) = 0._wp
	438	END IF
	439	END DO
[6152]	440	END DO
[7646]	441
[6152]	442	DO jj = 2, jpjm1
	443	DO ji = 2, jpim1
[7646]	444	zu_trd(ji,jj) = zu_trd(ji,jj) - grav * ( sshn(ji+1,jj ) - sshn(ji ,jj ) ) &
	445	& * r1_e1u(ji,jj) * zcpx(ji,jj)
	446	zv_trd(ji,jj) = zv_trd(ji,jj) - grav * ( sshn(ji ,jj+1) - sshn(ji ,jj ) ) &
	447	& * r1_e2v(ji,jj) * zcpy(ji,jj)
[6152]	448	END DO
	449	END DO
	450
	451	ELSE
	452
	453	DO jj = 2, jpjm1
	454	DO ji = fs_2, fs_jpim1 ! vector opt.
	455	zu_trd(ji,jj) = zu_trd(ji,jj) - grav * ( sshn(ji+1,jj ) - sshn(ji ,jj ) ) * r1_e1u(ji,jj)
	456	zv_trd(ji,jj) = zv_trd(ji,jj) - grav * ( sshn(ji ,jj+1) - sshn(ji ,jj ) ) * r1_e2v(ji,jj)
	457	END DO
	458	END DO
	459	ENDIF
	460
[1502]	461	ENDIF
[358]	462
[4292]	463	DO jj = 2, jpjm1 ! Remove coriolis term (and possibly spg) from barotropic trend
[358]	464	DO ji = fs_2, fs_jpim1
[6140]	465	zu_frc(ji,jj) = zu_frc(ji,jj) - zu_trd(ji,jj) * ssumask(ji,jj)
	466	zv_frc(ji,jj) = zv_frc(ji,jj) - zv_trd(ji,jj) * ssvmask(ji,jj)
[3294]	467	END DO
[4292]	468	END DO
	469	!
	470	! ! Add bottom stress contribution from baroclinic velocities:
	471	IF (ln_bt_fw) THEN
	472	DO jj = 2, jpjm1
	473	DO ji = fs_2, fs_jpim1 ! vector opt.
	474	ikbu = mbku(ji,jj)
	475	ikbv = mbkv(ji,jj)
	476	zwx(ji,jj) = un(ji,jj,ikbu) - un_b(ji,jj) ! NOW bottom baroclinic velocities
	477	zwy(ji,jj) = vn(ji,jj,ikbv) - vn_b(ji,jj)
	478	END DO
	479	END DO
[3294]	480	ELSE
[4292]	481	DO jj = 2, jpjm1
	482	DO ji = fs_2, fs_jpim1 ! vector opt.
	483	ikbu = mbku(ji,jj)
	484	ikbv = mbkv(ji,jj)
	485	zwx(ji,jj) = ub(ji,jj,ikbu) - ub_b(ji,jj) ! BEFORE bottom baroclinic velocities
	486	zwy(ji,jj) = vb(ji,jj,ikbv) - vb_b(ji,jj)
	487	END DO
	488	END DO
	489	ENDIF
[1502]	490	!
[4292]	491	! Note that the "unclipped" bottom friction parameter is used even with explicit drag
[6152]	492	IF( ln_wd ) THEN
[7753]	493	zu_frc(:,:) = zu_frc(:,:) + MAX(r1_hu_n(:,:) * bfrua(:,:),-1._wp / rdtbt) * zwx(:,:)
	494	zv_frc(:,:) = zv_frc(:,:) + MAX(r1_hv_n(:,:) * bfrva(:,:),-1._wp / rdtbt) * zwy(:,:)
[6152]	495	ELSE
[7753]	496	zu_frc(:,:) = zu_frc(:,:) + r1_hu_n(:,:) * bfrua(:,:) * zwx(:,:)
	497	zv_frc(:,:) = zv_frc(:,:) + r1_hv_n(:,:) * bfrva(:,:) * zwy(:,:)
[6152]	498	END IF
	499	!
[6140]	500	! ! Add top stress contribution from baroclinic velocities:
[7646]	501	IF( ln_bt_fw ) THEN
[6140]	502	DO jj = 2, jpjm1
	503	DO ji = fs_2, fs_jpim1 ! vector opt.
	504	iktu = miku(ji,jj)
	505	iktv = mikv(ji,jj)
	506	zwx(ji,jj) = un(ji,jj,iktu) - un_b(ji,jj) ! NOW top baroclinic velocities
	507	zwy(ji,jj) = vn(ji,jj,iktv) - vn_b(ji,jj)
	508	END DO
	509	END DO
	510	ELSE
	511	DO jj = 2, jpjm1
	512	DO ji = fs_2, fs_jpim1 ! vector opt.
	513	iktu = miku(ji,jj)
	514	iktv = mikv(ji,jj)
	515	zwx(ji,jj) = ub(ji,jj,iktu) - ub_b(ji,jj) ! BEFORE top baroclinic velocities
	516	zwy(ji,jj) = vb(ji,jj,iktv) - vb_b(ji,jj)
	517	END DO
	518	END DO
	519	ENDIF
	520	!
	521	! Note that the "unclipped" top friction parameter is used even with explicit drag
[7753]	522	zu_frc(:,:) = zu_frc(:,:) + r1_hu_n(:,:) * tfrua(:,:) * zwx(:,:)
	523	zv_frc(:,:) = zv_frc(:,:) + r1_hv_n(:,:) * tfrva(:,:) * zwy(:,:)
[6140]	524	!
[4292]	525	IF (ln_bt_fw) THEN ! Add wind forcing
[7753]	526	zu_frc(:,:) = zu_frc(:,:) + zraur * utau(:,:) * r1_hu_n(:,:)
	527	zv_frc(:,:) = zv_frc(:,:) + zraur * vtau(:,:) * r1_hv_n(:,:)
[2724]	528	ELSE
[7753]	529	zu_frc(:,:) = zu_frc(:,:) + zraur * z1_2 * ( utau_b(:,:) + utau(:,:) ) * r1_hu_n(:,:)
	530	zv_frc(:,:) = zv_frc(:,:) + zraur * z1_2 * ( vtau_b(:,:) + vtau(:,:) ) * r1_hv_n(:,:)
[4292]	531	ENDIF
	532	!
	533	IF ( ln_apr_dyn ) THEN ! Add atm pressure forcing
	534	IF (ln_bt_fw) THEN
	535	DO jj = 2, jpjm1
	536	DO ji = fs_2, fs_jpim1 ! vector opt.
[5836]	537	zu_spg = grav * ( ssh_ib (ji+1,jj ) - ssh_ib (ji,jj) ) * r1_e1u(ji,jj)
	538	zv_spg = grav * ( ssh_ib (ji ,jj+1) - ssh_ib (ji,jj) ) * r1_e2v(ji,jj)
[4292]	539	zu_frc(ji,jj) = zu_frc(ji,jj) + zu_spg
	540	zv_frc(ji,jj) = zv_frc(ji,jj) + zv_spg
	541	END DO
	542	END DO
	543	ELSE
	544	DO jj = 2, jpjm1
	545	DO ji = fs_2, fs_jpim1 ! vector opt.
	546	zu_spg = grav * z1_2 * ( ssh_ib (ji+1,jj ) - ssh_ib (ji,jj) &
[5836]	547	& + ssh_ibb(ji+1,jj ) - ssh_ibb(ji,jj) ) * r1_e1u(ji,jj)
[4292]	548	zv_spg = grav * z1_2 * ( ssh_ib (ji ,jj+1) - ssh_ib (ji,jj) &
[5836]	549	& + ssh_ibb(ji ,jj+1) - ssh_ibb(ji,jj) ) * r1_e2v(ji,jj)
[4292]	550	zu_frc(ji,jj) = zu_frc(ji,jj) + zu_spg
	551	zv_frc(ji,jj) = zv_frc(ji,jj) + zv_spg
	552	END DO
	553	END DO
	554	ENDIF
[2724]	555	ENDIF
[4292]	556	! !* Right-Hand-Side of the barotropic ssh equation
	557	! ! -----------------------------------------------
	558	! ! Surface net water flux and rivers
	559	IF (ln_bt_fw) THEN
[7753]	560	zssh_frc(:,:) = zraur * ( emp(:,:) - rnf(:,:) + fwfisf(:,:) )
[4292]	561	ELSE
[7753]	562	zssh_frc(:,:) = zraur * z1_2 * ( emp(:,:) + emp_b(:,:) - rnf(:,:) - rnf_b(:,:) &
	563	& + fwfisf(:,:) + fwfisf_b(:,:) )
[4292]	564	ENDIF
[7646]	565	!
	566	IF( ln_sdw ) THEN ! Stokes drift divergence added if necessary
[7753]	567	zssh_frc(:,:) = zssh_frc(:,:) + div_sd(:,:)
[7646]	568	ENDIF
	569	!
[4292]	570	#if defined key_asminc
	571	! ! Include the IAU weighted SSH increment
	572	IF( lk_asminc .AND. ln_sshinc .AND. ln_asmiau ) THEN
[7753]	573	zssh_frc(:,:) = zssh_frc(:,:) - ssh_iau(:,:)
[4292]	574	ENDIF
	575	#endif
[5656]	576	! !* Fill boundary data arrays for AGRIF
	577	! ! ------------------------------------
[4486]	578	#if defined key_agrif
	579	IF( .NOT.Agrif_Root() ) CALL agrif_dta_ts( kt )
	580	#endif
[4292]	581	!
[358]	582	! -----------------------------------------------------------------------
[4292]	583	! Phase 2 : Integration of the barotropic equations
[358]	584	! -----------------------------------------------------------------------
[1502]	585	!
	586	! ! ==================== !
	587	! ! Initialisations !
[4292]	588	! ! ==================== !
[4370]	589	! Initialize barotropic variables:
[4770]	590	IF( ll_init )THEN
[7753]	591	sshbb_e(:,:) = 0._wp
	592	ubb_e (:,:) = 0._wp
	593	vbb_e (:,:) = 0._wp
	594	sshb_e (:,:) = 0._wp
	595	ub_e (:,:) = 0._wp
	596	vb_e (:,:) = 0._wp
[4700]	597	ENDIF
[6152]	598
[4700]	599	!
[4370]	600	IF (ln_bt_fw) THEN ! FORWARD integration: start from NOW fields
[7753]	601	sshn_e(:,:) = sshn(:,:)
	602	un_e (:,:) = un_b(:,:)
	603	vn_e (:,:) = vn_b(:,:)
	604	!
	605	hu_e (:,:) = hu_n(:,:)
	606	hv_e (:,:) = hv_n(:,:)
	607	hur_e (:,:) = r1_hu_n(:,:)
	608	hvr_e (:,:) = r1_hv_n(:,:)
[4370]	609	ELSE ! CENTRED integration: start from BEFORE fields
[7753]	610	sshn_e(:,:) = sshb(:,:)
	611	un_e (:,:) = ub_b(:,:)
	612	vn_e (:,:) = vb_b(:,:)
	613	!
	614	hu_e (:,:) = hu_b(:,:)
	615	hv_e (:,:) = hv_b(:,:)
	616	hur_e (:,:) = r1_hu_b(:,:)
	617	hvr_e (:,:) = r1_hv_b(:,:)
[4292]	618	ENDIF
	619	!
	620	!
[4370]	621	!
[4292]	622	! Initialize sums:
[7753]	623	ua_b (:,:) = 0._wp ! After barotropic velocities (or transport if flux form)
	624	va_b (:,:) = 0._wp
	625	ssha (:,:) = 0._wp ! Sum for after averaged sea level
	626	un_adv(:,:) = 0._wp ! Sum for now transport issued from ts loop
	627	vn_adv(:,:) = 0._wp
[1502]	628	! ! ==================== !
[4292]	629	DO jn = 1, icycle ! sub-time-step loop !
[1502]	630	! ! ==================== !
[3294]	631	! !* Update the forcing (BDY and tides)
[1502]	632	! ! ------------------
[4292]	633	! Update only tidal forcing at open boundaries
[7646]	634	IF( ln_bdy .AND. ln_tide ) CALL bdy_dta_tides( kt, kit=jn, time_offset= noffset+1 )
	635	IF( ln_tide_pot .AND. ln_tide ) CALL upd_tide ( kt, kit=jn, time_offset= noffset )
[4292]	636	!
	637	! Set extrapolation coefficients for predictor step:
	638	IF ((jn<3).AND.ll_init) THEN ! Forward
	639	za1 = 1._wp
	640	za2 = 0._wp
	641	za3 = 0._wp
	642	ELSE ! AB3-AM4 Coefficients: bet=0.281105
	643	za1 = 1.781105_wp ! za1 = 3/2 + bet
	644	za2 = -1.06221_wp ! za2 = -(1/2 + 2*bet)
	645	za3 = 0.281105_wp ! za3 = bet
	646	ENDIF
[367]	647
[4292]	648	! Extrapolate barotropic velocities at step jit+0.5:
[7753]	649	ua_e(:,:) = za1 * un_e(:,:) + za2 * ub_e(:,:) + za3 * ubb_e(:,:)
	650	va_e(:,:) = za1 * vn_e(:,:) + za2 * vb_e(:,:) + za3 * vbb_e(:,:)
[4292]	651
[6140]	652	IF( .NOT.ln_linssh ) THEN !* Update ocean depth (variable volume case only)
[4292]	653	! ! ------------------
	654	! Extrapolate Sea Level at step jit+0.5:
[7753]	655	zsshp2_e(:,:) = za1 * sshn_e(:,:) + za2 * sshb_e(:,:) + za3 * sshbb_e(:,:)
[4292]	656	!
	657	DO jj = 2, jpjm1 ! Sea Surface Height at u- & v-points
	658	DO ji = 2, fs_jpim1 ! Vector opt.
[6140]	659	zwx(ji,jj) = z1_2 * ssumask(ji,jj) * r1_e1e2u(ji,jj) &
[5836]	660	& * ( e1e2t(ji ,jj) * zsshp2_e(ji ,jj) &
	661	& + e1e2t(ji+1,jj) * zsshp2_e(ji+1,jj) )
[6140]	662	zwy(ji,jj) = z1_2 * ssvmask(ji,jj) * r1_e1e2v(ji,jj) &
[5836]	663	& * ( e1e2t(ji,jj ) * zsshp2_e(ji,jj ) &
	664	& + e1e2t(ji,jj+1) * zsshp2_e(ji,jj+1) )
[4292]	665	END DO
	666	END DO
[5429]	667	CALL lbc_lnk_multi( zwx, 'U', 1._wp, zwy, 'V', 1._wp )
[4292]	668	!
[7753]	669	zhup2_e (:,:) = hu_0(:,:) + zwx(:,:) ! Ocean depth at U- and V-points
	670	zhvp2_e (:,:) = hv_0(:,:) + zwy(:,:)
[4370]	671	ELSE
[7753]	672	zhup2_e (:,:) = hu_n(:,:)
	673	zhvp2_e (:,:) = hv_n(:,:)
[4292]	674	ENDIF
	675	! !* after ssh
[1502]	676	! ! -----------
[4292]	677	! One should enforce volume conservation at open boundaries here
	678	! considering fluxes below:
	679	!
[7753]	680	zwx(:,:) = e2u(:,:) * ua_e(:,:) * zhup2_e(:,:) ! fluxes at jn+0.5
	681	zwy(:,:) = e1v(:,:) * va_e(:,:) * zhvp2_e(:,:)
[4486]	682	!
	683	#if defined key_agrif
[6140]	684	! Set fluxes during predictor step to ensure volume conservation
	685	IF( .NOT.Agrif_Root() .AND. ln_bt_fw ) THEN
[4486]	686	IF((nbondi == -1).OR.(nbondi == 2)) THEN
	687	DO jj=1,jpj
	688	zwx(2,jj) = ubdy_w(jj) * e2u(2,jj)
	689	END DO
	690	ENDIF
	691	IF((nbondi == 1).OR.(nbondi == 2)) THEN
	692	DO jj=1,jpj
	693	zwx(nlci-2,jj) = ubdy_e(jj) * e2u(nlci-2,jj)
	694	END DO
	695	ENDIF
	696	IF((nbondj == -1).OR.(nbondj == 2)) THEN
	697	DO ji=1,jpi
	698	zwy(ji,2) = vbdy_s(ji) * e1v(ji,2)
	699	END DO
	700	ENDIF
	701	IF((nbondj == 1).OR.(nbondj == 2)) THEN
	702	DO ji=1,jpi
	703	zwy(ji,nlcj-2) = vbdy_n(ji) * e1v(ji,nlcj-2)
	704	END DO
	705	ENDIF
	706	ENDIF
	707	#endif
[6152]	708	IF( ln_wd ) CALL wad_lmt_bt(zwx, zwy, sshn_e, zssh_frc, rdtbt)
[4486]	709	!
	710	! Sum over sub-time-steps to compute advective velocities
	711	za2 = wgtbtp2(jn)
[7753]	712	un_adv(:,:) = un_adv(:,:) + za2 * zwx(:,:) * r1_e2u(:,:)
	713	vn_adv(:,:) = vn_adv(:,:) + za2 * zwy(:,:) * r1_e1v(:,:)
[4486]	714	!
	715	! Set next sea level:
[4292]	716	DO jj = 2, jpjm1
[358]	717	DO ji = fs_2, fs_jpim1 ! vector opt.
[4292]	718	zhdiv(ji,jj) = ( zwx(ji,jj) - zwx(ji-1,jj) &
[5836]	719	& + zwy(ji,jj) - zwy(ji,jj-1) ) * r1_e1e2t(ji,jj)
[358]	720	END DO
	721	END DO
[7753]	722	ssha_e(:,:) = ( sshn_e(:,:) - rdtbt * ( zssh_frc(:,:) + zhdiv(:,:) ) ) * ssmask(:,:)
	723
[4292]	724	CALL lbc_lnk( ssha_e, 'T', 1._wp )
	725
[6140]	726	! Duplicate sea level across open boundaries (this is only cosmetic if linssh=T)
[7646]	727	IF( ln_bdy ) CALL bdy_ssh( ssha_e )
[4292]	728	#if defined key_agrif
[6140]	729	IF( .NOT.Agrif_Root() ) CALL agrif_ssh_ts( jn )
[4292]	730	#endif
	731	!
	732	! Sea Surface Height at u-,v-points (vvl case only)
[6140]	733	IF( .NOT.ln_linssh ) THEN
[4292]	734	DO jj = 2, jpjm1
	735	DO ji = 2, jpim1 ! NO Vector Opt.
[6140]	736	zsshu_a(ji,jj) = z1_2 * ssumask(ji,jj) * r1_e1e2u(ji,jj) &
	737	& * ( e1e2t(ji ,jj ) * ssha_e(ji ,jj ) &
	738	& + e1e2t(ji+1,jj ) * ssha_e(ji+1,jj ) )
	739	zsshv_a(ji,jj) = z1_2 * ssvmask(ji,jj) * r1_e1e2v(ji,jj) &
	740	& * ( e1e2t(ji ,jj ) * ssha_e(ji ,jj ) &
	741	& + e1e2t(ji ,jj+1) * ssha_e(ji ,jj+1) )
[4292]	742	END DO
[358]	743	END DO
[5429]	744	CALL lbc_lnk_multi( zsshu_a, 'U', 1._wp, zsshv_a, 'V', 1._wp )
[4292]	745	ENDIF
	746	!
	747	! Half-step back interpolation of SSH for surface pressure computation:
	748	!----------------------------------------------------------------------
	749	IF ((jn==1).AND.ll_init) THEN
	750	za0=1._wp ! Forward-backward
	751	za1=0._wp
	752	za2=0._wp
	753	za3=0._wp
	754	ELSEIF ((jn==2).AND.ll_init) THEN ! AB2-AM3 Coefficients; bet=0 ; gam=-1/6 ; eps=1/12
	755	za0= 1.0833333333333_wp ! za0 = 1-gam-eps
	756	za1=-0.1666666666666_wp ! za1 = gam
	757	za2= 0.0833333333333_wp ! za2 = eps
	758	za3= 0._wp
	759	ELSE ! AB3-AM4 Coefficients; bet=0.281105 ; eps=0.013 ; gam=0.0880
	760	za0=0.614_wp ! za0 = 1/2 + gam + 2*eps
	761	za1=0.285_wp ! za1 = 1/2 - 2gam - 3eps
	762	za2=0.088_wp ! za2 = gam
	763	za3=0.013_wp ! za3 = eps
	764	ENDIF
[6140]	765	!
[7753]	766	zsshp2_e(:,:) = za0 * ssha_e(:,:) + za1 * sshn_e (:,:) &
	767	& + za2 * sshb_e(:,:) + za3 * sshbb_e(:,:)
[6152]	768	IF( ln_wd ) THEN ! Calculating and applying W/D gravity filters
	769	DO jj = 2, jpjm1
[7646]	770	DO ji = 2, jpim1
	771	ll_tmp1 = MIN( zsshp2_e(ji,jj) , zsshp2_e(ji+1,jj) ) > &
	772	& MAX( -ht_wd(ji,jj) , -ht_wd(ji+1,jj) ) .AND. &
	773	& MAX( zsshp2_e(ji,jj) + ht_wd(ji,jj), zsshp2_e(ji+1,jj) + ht_wd(ji+1,jj) ) &
	774	& > rn_wdmin1 + rn_wdmin2
	775	ll_tmp2 = (ABS(zsshp2_e(ji,jj) - zsshp2_e(ji+1,jj)) > 1.E-12 ).AND.( &
	776	& MAX( zsshp2_e(ji,jj) , zsshp2_e(ji+1,jj) ) > &
	777	& MAX( -ht_wd(ji,jj) , -ht_wd(ji+1,jj) ) + rn_wdmin1 + rn_wdmin2 )
	778
	779	IF(ll_tmp1) THEN
	780	zcpx(ji,jj) = 1.0_wp
	781	ELSE IF(ll_tmp2) THEN
	782	! no worries about zsshp2_e(ji+1,jj) - zsshp2_e(ji ,jj) = 0, it won't happen ! here
	783	zcpx(ji,jj) = ABS( (zsshp2_e(ji+1,jj) + ht_wd(ji+1,jj) - zsshp2_e(ji,jj) - ht_wd(ji,jj)) &
	784	& / (zsshp2_e(ji+1,jj) - zsshp2_e(ji ,jj)) )
	785	ELSE
	786	zcpx(ji,jj) = 0._wp
	787	END IF
	788
	789	ll_tmp1 = MIN( zsshp2_e(ji,jj) , zsshp2_e(ji,jj+1) ) > &
	790	& MAX( -ht_wd(ji,jj) , -ht_wd(ji,jj+1) ) .AND. &
	791	& MAX( zsshp2_e(ji,jj) + ht_wd(ji,jj), zsshp2_e(ji,jj+1) + ht_wd(ji,jj+1) ) &
	792	& > rn_wdmin1 + rn_wdmin2
	793	ll_tmp2 = (ABS(zsshp2_e(ji,jj) - zsshp2_e(ji,jj+1)) > 1.E-12 ).AND.( &
	794	& MAX( zsshp2_e(ji,jj) , zsshp2_e(ji,jj+1) ) > &
	795	& MAX( -ht_wd(ji,jj) , -ht_wd(ji,jj+1) ) + rn_wdmin1 + rn_wdmin2 )
	796
	797	IF(ll_tmp1) THEN
	798	zcpy(ji,jj) = 1.0_wp
	799	ELSE IF(ll_tmp2) THEN
	800	! no worries about zsshp2_e(ji,jj+1) - zsshp2_e(ji,jj ) = 0, it won't happen ! here
	801	zcpy(ji,jj) = ABS( (zsshp2_e(ji,jj+1) + ht_wd(ji,jj+1) - zsshp2_e(ji,jj) - ht_wd(ji,jj)) &
	802	& / (zsshp2_e(ji,jj+1) - zsshp2_e(ji,jj )) )
	803	ELSE
	804	zcpy(ji,jj) = 0._wp
	805	END IF
[6152]	806	END DO
[7646]	807	END DO
	808	END IF
[1502]	809	!
[4292]	810	! Compute associated depths at U and V points:
[6140]	811	IF( .NOT.ln_linssh .AND. .NOT.ln_dynadv_vec ) THEN !* Vector form
[4292]	812	!
	813	DO jj = 2, jpjm1
	814	DO ji = 2, jpim1
[6140]	815	zx1 = z1_2 * ssumask(ji ,jj) * r1_e1e2u(ji ,jj) &
[5836]	816	& * ( e1e2t(ji ,jj ) * zsshp2_e(ji ,jj) &
	817	& + e1e2t(ji+1,jj ) * zsshp2_e(ji+1,jj ) )
[6140]	818	zy1 = z1_2 * ssvmask(ji ,jj) * r1_e1e2v(ji ,jj ) &
[5836]	819	& * ( e1e2t(ji ,jj ) * zsshp2_e(ji ,jj ) &
	820	& + e1e2t(ji ,jj+1) * zsshp2_e(ji ,jj+1) )
[4292]	821	zhust_e(ji,jj) = hu_0(ji,jj) + zx1
	822	zhvst_e(ji,jj) = hv_0(ji,jj) + zy1
	823	END DO
	824	END DO
[6152]	825
[4292]	826	ENDIF
	827	!
	828	! Add Coriolis trend:
[6140]	829	! zwz array below or triads normally depend on sea level with ln_linssh=F and should be updated
[4292]	830	! at each time step. We however keep them constant here for optimization.
	831	! Recall that zwx and zwy arrays hold fluxes at this stage:
	832	! zwx(:,:) = e2u(:,:) * ua_e(:,:) * zhup2_e(:,:) ! fluxes at jn+0.5
	833	! zwy(:,:) = e1v(:,:) * va_e(:,:) * zhvp2_e(:,:)
	834	!
[6140]	835	IF( ln_dynvor_ene .OR. ln_dynvor_mix ) THEN !== energy conserving or mixed scheme ==!
[358]	836	DO jj = 2, jpjm1
	837	DO ji = fs_2, fs_jpim1 ! vector opt.
[5836]	838	zy1 = ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) ) * r1_e1u(ji,jj)
	839	zy2 = ( zwy(ji ,jj ) + zwy(ji+1,jj ) ) * r1_e1u(ji,jj)
	840	zx1 = ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) ) * r1_e2v(ji,jj)
	841	zx2 = ( zwx(ji ,jj ) + zwx(ji ,jj+1) ) * r1_e2v(ji,jj)
[4292]	842	zu_trd(ji,jj) = z1_4 * ( zwz(ji ,jj-1) * zy1 + zwz(ji,jj) * zy2 )
	843	zv_trd(ji,jj) =-z1_4 * ( zwz(ji-1,jj ) * zx1 + zwz(ji,jj) * zx2 )
[358]	844	END DO
	845	END DO
[508]	846	!
[6140]	847	ELSEIF ( ln_dynvor_ens ) THEN !== enstrophy conserving scheme ==!
[358]	848	DO jj = 2, jpjm1
	849	DO ji = fs_2, fs_jpim1 ! vector opt.
[4292]	850	zy1 = z1_8 * ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) &
[5836]	851	& + zwy(ji ,jj ) + zwy(ji+1,jj ) ) * r1_e1u(ji,jj)
[4292]	852	zx1 = - z1_8 * ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) &
[5836]	853	& + zwx(ji ,jj ) + zwx(ji ,jj+1) ) * r1_e2v(ji,jj)
[4292]	854	zu_trd(ji,jj) = zy1 * ( zwz(ji ,jj-1) + zwz(ji,jj) )
	855	zv_trd(ji,jj) = zx1 * ( zwz(ji-1,jj ) + zwz(ji,jj) )
[358]	856	END DO
	857	END DO
[508]	858	!
[6140]	859	ELSEIF ( ln_dynvor_een ) THEN !== energy and enstrophy conserving scheme ==!
[358]	860	DO jj = 2, jpjm1
	861	DO ji = fs_2, fs_jpim1 ! vector opt.
[5836]	862	zu_trd(ji,jj) = + z1_12 * r1_e1u(ji,jj) * ( ftne(ji,jj ) * zwy(ji ,jj ) &
	863	& + ftnw(ji+1,jj) * zwy(ji+1,jj ) &
	864	& + ftse(ji,jj ) * zwy(ji ,jj-1) &
	865	& + ftsw(ji+1,jj) * zwy(ji+1,jj-1) )
	866	zv_trd(ji,jj) = - z1_12 * r1_e2v(ji,jj) * ( ftsw(ji,jj+1) * zwx(ji-1,jj+1) &
	867	& + ftse(ji,jj+1) * zwx(ji ,jj+1) &
	868	& + ftnw(ji,jj ) * zwx(ji-1,jj ) &
	869	& + ftne(ji,jj ) * zwx(ji ,jj ) )
[358]	870	END DO
	871	END DO
[508]	872	!
[358]	873	ENDIF
[4292]	874	!
	875	! Add tidal astronomical forcing if defined
[7646]	876	IF ( ln_tide .AND. ln_tide_pot ) THEN
[4292]	877	DO jj = 2, jpjm1
	878	DO ji = fs_2, fs_jpim1 ! vector opt.
[5836]	879	zu_spg = grav * ( pot_astro(ji+1,jj) - pot_astro(ji,jj) ) * r1_e1u(ji,jj)
	880	zv_spg = grav * ( pot_astro(ji,jj+1) - pot_astro(ji,jj) ) * r1_e2v(ji,jj)
[4292]	881	zu_trd(ji,jj) = zu_trd(ji,jj) + zu_spg
	882	zv_trd(ji,jj) = zv_trd(ji,jj) + zv_spg
	883	END DO
	884	END DO
	885	ENDIF
	886	!
	887	! Add bottom stresses:
[7753]	888	zu_trd(:,:) = zu_trd(:,:) + bfrua(:,:) * un_e(:,:) * hur_e(:,:)
	889	zv_trd(:,:) = zv_trd(:,:) + bfrva(:,:) * vn_e(:,:) * hvr_e(:,:)
[4292]	890	!
[7753]	891	! Add top stresses:
	892	zu_trd(:,:) = zu_trd(:,:) + tfrua(:,:) * un_e(:,:) * hur_e(:,:)
	893	zv_trd(:,:) = zv_trd(:,:) + tfrva(:,:) * vn_e(:,:) * hvr_e(:,:)
	894	!
[4292]	895	! Surface pressure trend:
[6152]	896
	897	IF( ln_wd ) THEN
	898	DO jj = 2, jpjm1
	899	DO ji = 2, jpim1
	900	! Add surface pressure gradient
	901	zu_spg = - grav * ( zsshp2_e(ji+1,jj) - zsshp2_e(ji,jj) ) * r1_e1u(ji,jj)
	902	zv_spg = - grav * ( zsshp2_e(ji,jj+1) - zsshp2_e(ji,jj) ) * r1_e2v(ji,jj)
	903	zwx(ji,jj) = zu_spg * zcpx(ji,jj)
	904	zwy(ji,jj) = zv_spg * zcpy(ji,jj)
	905	END DO
	906	END DO
	907	ELSE
	908	DO jj = 2, jpjm1
	909	DO ji = fs_2, fs_jpim1 ! vector opt.
	910	! Add surface pressure gradient
	911	zu_spg = - grav * ( zsshp2_e(ji+1,jj) - zsshp2_e(ji,jj) ) * r1_e1u(ji,jj)
	912	zv_spg = - grav * ( zsshp2_e(ji,jj+1) - zsshp2_e(ji,jj) ) * r1_e2v(ji,jj)
	913	zwx(ji,jj) = zu_spg
	914	zwy(ji,jj) = zv_spg
	915	END DO
	916	END DO
	917	END IF
	918
[4292]	919	!
	920	! Set next velocities:
[6140]	921	IF( ln_dynadv_vec .OR. ln_linssh ) THEN !* Vector form
[4292]	922	DO jj = 2, jpjm1
	923	DO ji = fs_2, fs_jpim1 ! vector opt.
[5930]	924	ua_e(ji,jj) = ( un_e(ji,jj) &
[4292]	925	& + rdtbt * ( zwx(ji,jj) &
	926	& + zu_trd(ji,jj) &
	927	& + zu_frc(ji,jj) ) &
[6140]	928	& ) * ssumask(ji,jj)
[358]	929
[5930]	930	va_e(ji,jj) = ( vn_e(ji,jj) &
[4292]	931	& + rdtbt * ( zwy(ji,jj) &
	932	& + zv_trd(ji,jj) &
	933	& + zv_frc(ji,jj) ) &
[6140]	934	& ) * ssvmask(ji,jj)
[4292]	935	END DO
	936	END DO
[6140]	937	!
	938	ELSE !* Flux form
[4292]	939	DO jj = 2, jpjm1
	940	DO ji = fs_2, fs_jpim1 ! vector opt.
[3294]	941
[6152]	942	IF( ln_wd ) THEN
	943	zhura = MAX(hu_0(ji,jj) + zsshu_a(ji,jj), rn_wdmin1)
	944	zhvra = MAX(hv_0(ji,jj) + zsshv_a(ji,jj), rn_wdmin1)
	945	ELSE
	946	zhura = hu_0(ji,jj) + zsshu_a(ji,jj)
	947	zhvra = hv_0(ji,jj) + zsshv_a(ji,jj)
	948	END IF
	949	zhura = ssumask(ji,jj)/(zhura + 1._wp - ssumask(ji,jj))
	950	zhvra = ssvmask(ji,jj)/(zhvra + 1._wp - ssvmask(ji,jj))
	951
[5930]	952	ua_e(ji,jj) = ( hu_e(ji,jj) * un_e(ji,jj) &
[4292]	953	& + rdtbt * ( zhust_e(ji,jj) * zwx(ji,jj) &
	954	& + zhup2_e(ji,jj) * zu_trd(ji,jj) &
[6140]	955	& + hu_n(ji,jj) * zu_frc(ji,jj) ) &
[4292]	956	& ) * zhura
[358]	957
[5930]	958	va_e(ji,jj) = ( hv_e(ji,jj) * vn_e(ji,jj) &
[4292]	959	& + rdtbt * ( zhvst_e(ji,jj) * zwy(ji,jj) &
	960	& + zhvp2_e(ji,jj) * zv_trd(ji,jj) &
[6140]	961	& + hv_n(ji,jj) * zv_frc(ji,jj) ) &
[4292]	962	& ) * zhvra
[592]	963	END DO
	964	END DO
[4292]	965	ENDIF
	966	!
[6140]	967	IF( .NOT.ln_linssh ) THEN !* Update ocean depth (variable volume case only)
[6152]	968	IF( ln_wd ) THEN
[7753]	969	hu_e (:,:) = MAX(hu_0(:,:) + zsshu_a(:,:), rn_wdmin1)
	970	hv_e (:,:) = MAX(hv_0(:,:) + zsshv_a(:,:), rn_wdmin1)
[6152]	971	ELSE
[7753]	972	hu_e (:,:) = hu_0(:,:) + zsshu_a(:,:)
	973	hv_e (:,:) = hv_0(:,:) + zsshv_a(:,:)
[6152]	974	END IF
[7753]	975	hur_e(:,:) = ssumask(:,:) / ( hu_e(:,:) + 1._wp - ssumask(:,:) )
	976	hvr_e(:,:) = ssvmask(:,:) / ( hv_e(:,:) + 1._wp - ssvmask(:,:) )
[1502]	977	!
[1438]	978	ENDIF
[6140]	979	! !* domain lateral boundary
	980	CALL lbc_lnk_multi( ua_e, 'U', -1._wp, va_e , 'V', -1._wp )
[4292]	981	!
[6140]	982	! ! open boundaries
[7646]	983	IF( ln_bdy ) CALL bdy_dyn2d( jn, ua_e, va_e, un_e, vn_e, hur_e, hvr_e, ssha_e )
[4486]	984	#if defined key_agrif
	985	IF( .NOT.Agrif_Root() ) CALL agrif_dyn_ts( jn ) ! Agrif
[4292]	986	#endif
	987	! !* Swap
	988	! ! ----
[7753]	989	ubb_e (:,:) = ub_e (:,:)
	990	ub_e (:,:) = un_e (:,:)
	991	un_e (:,:) = ua_e (:,:)
	992	!
	993	vbb_e (:,:) = vb_e (:,:)
	994	vb_e (:,:) = vn_e (:,:)
	995	vn_e (:,:) = va_e (:,:)
	996	!
	997	sshbb_e(:,:) = sshb_e(:,:)
	998	sshb_e (:,:) = sshn_e(:,:)
	999	sshn_e (:,:) = ssha_e(:,:)
[4292]	1000
	1001	! !* Sum over whole bt loop
	1002	! ! ----------------------
	1003	za1 = wgtbtp1(jn)
[6140]	1004	IF( ln_dynadv_vec .OR. ln_linssh ) THEN ! Sum velocities
[7753]	1005	ua_b (:,:) = ua_b (:,:) + za1 * ua_e (:,:)
	1006	va_b (:,:) = va_b (:,:) + za1 * va_e (:,:)
[6140]	1007	ELSE ! Sum transports
[7753]	1008	ua_b (:,:) = ua_b (:,:) + za1 * ua_e (:,:) * hu_e (:,:)
	1009	va_b (:,:) = va_b (:,:) + za1 * va_e (:,:) * hv_e (:,:)
[4292]	1010	ENDIF
	1011	! ! Sum sea level
[7753]	1012	ssha(:,:) = ssha(:,:) + za1 * ssha_e(:,:)
[358]	1013	! ! ==================== !
	1014	END DO ! end loop !
	1015	! ! ==================== !
[1438]	1016	! -----------------------------------------------------------------------------
[1502]	1017	! Phase 3. update the general trend with the barotropic trend
[1438]	1018	! -----------------------------------------------------------------------------
[1502]	1019	!
[4292]	1020	! Set advection velocity correction:
[7753]	1021	zwx(:,:) = un_adv(:,:)
	1022	zwy(:,:) = vn_adv(:,:)
[6140]	1023	IF( ( kt == nit000 .AND. neuler==0 ) .OR. .NOT.ln_bt_fw ) THEN
[7753]	1024	un_adv(:,:) = zwx(:,:) * r1_hu_n(:,:)
	1025	vn_adv(:,:) = zwy(:,:) * r1_hv_n(:,:)
[4292]	1026	ELSE
[7753]	1027	un_adv(:,:) = z1_2 * ( ub2_b(:,:) + zwx(:,:) ) * r1_hu_n(:,:)
	1028	vn_adv(:,:) = z1_2 * ( vb2_b(:,:) + zwy(:,:) ) * r1_hv_n(:,:)
[4292]	1029	END IF
	1030
[6140]	1031	IF( ln_bt_fw ) THEN ! Save integrated transport for next computation
[7753]	1032	ub2_b(:,:) = zwx(:,:)
	1033	vb2_b(:,:) = zwy(:,:)
[4292]	1034	ENDIF
	1035	!
	1036	! Update barotropic trend:
[6140]	1037	IF( ln_dynadv_vec .OR. ln_linssh ) THEN
[4292]	1038	DO jk=1,jpkm1
[7753]	1039	ua(:,:,jk) = ua(:,:,jk) + ( ua_b(:,:) - ub_b(:,:) ) * z1_2dt_b
	1040	va(:,:,jk) = va(:,:,jk) + ( va_b(:,:) - vb_b(:,:) ) * z1_2dt_b
[4292]	1041	END DO
	1042	ELSE
[5930]	1043	! At this stage, ssha has been corrected: compute new depths at velocity points
	1044	DO jj = 1, jpjm1
	1045	DO ji = 1, jpim1 ! NO Vector Opt.
	1046	zsshu_a(ji,jj) = z1_2 * umask(ji,jj,1) * r1_e1e2u(ji,jj) &
	1047	& * ( e1e2t(ji ,jj) * ssha(ji ,jj) &
	1048	& + e1e2t(ji+1,jj) * ssha(ji+1,jj) )
	1049	zsshv_a(ji,jj) = z1_2 * vmask(ji,jj,1) * r1_e1e2v(ji,jj) &
	1050	& * ( e1e2t(ji,jj ) * ssha(ji,jj ) &
	1051	& + e1e2t(ji,jj+1) * ssha(ji,jj+1) )
	1052	END DO
	1053	END DO
	1054	CALL lbc_lnk_multi( zsshu_a, 'U', 1._wp, zsshv_a, 'V', 1._wp ) ! Boundary conditions
	1055	!
[4292]	1056	DO jk=1,jpkm1
[7753]	1057	ua(:,:,jk) = ua(:,:,jk) + r1_hu_n(:,:) * ( ua_b(:,:) - ub_b(:,:) * hu_b(:,:) ) * z1_2dt_b
	1058	va(:,:,jk) = va(:,:,jk) + r1_hv_n(:,:) * ( va_b(:,:) - vb_b(:,:) * hv_b(:,:) ) * z1_2dt_b
[4292]	1059	END DO
	1060	! Save barotropic velocities not transport:
[7753]	1061	ua_b(:,:) = ua_b(:,:) / ( hu_0(:,:) + zsshu_a(:,:) + 1._wp - ssumask(:,:) )
	1062	va_b(:,:) = va_b(:,:) / ( hv_0(:,:) + zsshv_a(:,:) + 1._wp - ssvmask(:,:) )
[4292]	1063	ENDIF
	1064	!
	1065	DO jk = 1, jpkm1
[7753]	1066	! Correct velocities:
	1067	un(:,:,jk) = ( un(:,:,jk) + un_adv(:,:) - un_b(:,:) ) * umask(:,:,jk)
	1068	vn(:,:,jk) = ( vn(:,:,jk) + vn_adv(:,:) - vn_b(:,:) ) * vmask(:,:,jk)
	1069	!
[358]	1070	END DO
[1502]	1071	!
[6140]	1072	CALL iom_put( "ubar", un_adv(:,:) ) ! barotropic i-current
	1073	CALL iom_put( "vbar", vn_adv(:,:) ) ! barotropic i-current
	1074	!
[4486]	1075	#if defined key_agrif
	1076	! Save time integrated fluxes during child grid integration
[5656]	1077	! (used to update coarse grid transports at next time step)
[4486]	1078	!
[6140]	1079	IF( .NOT.Agrif_Root() .AND. ln_bt_fw ) THEN
	1080	IF( Agrif_NbStepint() == 0 ) THEN
[7753]	1081	ub2_i_b(:,:) = 0._wp
	1082	vb2_i_b(:,:) = 0._wp
[4486]	1083	END IF
	1084	!
	1085	za1 = 1._wp / REAL(Agrif_rhot(), wp)
[7753]	1086	ub2_i_b(:,:) = ub2_i_b(:,:) + za1 * ub2_b(:,:)
	1087	vb2_i_b(:,:) = vb2_i_b(:,:) + za1 * vb2_b(:,:)
[4486]	1088	ENDIF
	1089	#endif
[1502]	1090	! !* write time-spliting arrays in the restart
[6140]	1091	IF( lrst_oce .AND.ln_bt_fw ) CALL ts_rst( kt, 'WRITE' )
[508]	1092	!
[6140]	1093	CALL wrk_dealloc( jpi,jpj, zsshp2_e, zhdiv )
	1094	CALL wrk_dealloc( jpi,jpj, zu_trd, zv_trd )
	1095	CALL wrk_dealloc( jpi,jpj, zwx, zwy, zssh_frc, zu_frc, zv_frc )
	1096	CALL wrk_dealloc( jpi,jpj, zhup2_e, zhvp2_e, zhust_e, zhvst_e )
	1097	CALL wrk_dealloc( jpi,jpj, zsshu_a, zsshv_a )
	1098	CALL wrk_dealloc( jpi,jpj, zhf )
[7646]	1099	IF( ln_wd ) CALL wrk_dealloc( jpi, jpj, zcpx, zcpy )
[1662]	1100	!
[6140]	1101	IF ( ln_diatmb ) THEN
	1102	CALL iom_put( "baro_u" , un_bumask(:,:,1)+zmdi(1-umask(:,:,1 ) ) ) ! Barotropic U Velocity
	1103	CALL iom_put( "baro_v" , vn_bvmask(:,:,1)+zmdi(1-vmask(:,:,1 ) ) ) ! Barotropic V Velocity
	1104	ENDIF
[3294]	1105	IF( nn_timing == 1 ) CALL timing_stop('dyn_spg_ts')
[2715]	1106	!
[508]	1107	END SUBROUTINE dyn_spg_ts
	1108
[6140]	1109
[4292]	1110	SUBROUTINE ts_wgt( ll_av, ll_fw, jpit, zwgt1, zwgt2)
	1111	!!---------------------------------------------------------------------
	1112	!! * ROUTINE ts_wgt *
	1113	!!
	1114	!! ** Purpose : Set time-splitting weights for temporal averaging (or not)
	1115	!!----------------------------------------------------------------------
	1116	LOGICAL, INTENT(in) :: ll_av ! temporal averaging=.true.
	1117	LOGICAL, INTENT(in) :: ll_fw ! forward time splitting =.true.
	1118	INTEGER, INTENT(inout) :: jpit ! cycle length
	1119	REAL(wp), DIMENSION(3*nn_baro), INTENT(inout) :: zwgt1, & ! Primary weights
	1120	zwgt2 ! Secondary weights
	1121
	1122	INTEGER :: jic, jn, ji ! temporary integers
	1123	REAL(wp) :: za1, za2
	1124	!!----------------------------------------------------------------------
[508]	1125
[4292]	1126	zwgt1(:) = 0._wp
	1127	zwgt2(:) = 0._wp
	1128
	1129	! Set time index when averaged value is requested
	1130	IF (ll_fw) THEN
	1131	jic = nn_baro
	1132	ELSE
	1133	jic = 2 * nn_baro
	1134	ENDIF
	1135
	1136	! Set primary weights:
	1137	IF (ll_av) THEN
	1138	! Define simple boxcar window for primary weights
	1139	! (width = nn_baro, centered around jic)
	1140	SELECT CASE ( nn_bt_flt )
	1141	CASE( 0 ) ! No averaging
	1142	zwgt1(jic) = 1._wp
	1143	jpit = jic
	1144
	1145	CASE( 1 ) ! Boxcar, width = nn_baro
	1146	DO jn = 1, 3*nn_baro
	1147	za1 = ABS(float(jn-jic))/float(nn_baro)
	1148	IF (za1 < 0.5_wp) THEN
	1149	zwgt1(jn) = 1._wp
	1150	jpit = jn
	1151	ENDIF
	1152	ENDDO
	1153
	1154	CASE( 2 ) ! Boxcar, width = 2 * nn_baro
	1155	DO jn = 1, 3*nn_baro
	1156	za1 = ABS(float(jn-jic))/float(nn_baro)
	1157	IF (za1 < 1._wp) THEN
	1158	zwgt1(jn) = 1._wp
	1159	jpit = jn
	1160	ENDIF
	1161	ENDDO
	1162	CASE DEFAULT ; CALL ctl_stop( 'unrecognised value for nn_bt_flt' )
	1163	END SELECT
	1164
	1165	ELSE ! No time averaging
	1166	zwgt1(jic) = 1._wp
	1167	jpit = jic
	1168	ENDIF
	1169
	1170	! Set secondary weights
	1171	DO jn = 1, jpit
	1172	DO ji = jn, jpit
	1173	zwgt2(jn) = zwgt2(jn) + zwgt1(ji)
	1174	END DO
	1175	END DO
	1176
	1177	! Normalize weigths:
	1178	za1 = 1._wp / SUM(zwgt1(1:jpit))
	1179	za2 = 1._wp / SUM(zwgt2(1:jpit))
	1180	DO jn = 1, jpit
	1181	zwgt1(jn) = zwgt1(jn) * za1
	1182	zwgt2(jn) = zwgt2(jn) * za2
	1183	END DO
	1184	!
	1185	END SUBROUTINE ts_wgt
	1186
[6140]	1187
[508]	1188	SUBROUTINE ts_rst( kt, cdrw )
	1189	!!---------------------------------------------------------------------
	1190	!! * ROUTINE ts_rst *
	1191	!!
	1192	!! ** Purpose : Read or write time-splitting arrays in restart file
	1193	!!----------------------------------------------------------------------
	1194	INTEGER , INTENT(in) :: kt ! ocean time-step
	1195	CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag
	1196	!
	1197	!!----------------------------------------------------------------------
	1198	!
	1199	IF( TRIM(cdrw) == 'READ' ) THEN
[4292]	1200	CALL iom_get( numror, jpdom_autoglo, 'ub2_b' , ub2_b (:,:) )
	1201	CALL iom_get( numror, jpdom_autoglo, 'vb2_b' , vb2_b (:,:) )
[4370]	1202	IF( .NOT.ln_bt_av ) THEN
[4292]	1203	CALL iom_get( numror, jpdom_autoglo, 'sshbb_e' , sshbb_e(:,:) )
	1204	CALL iom_get( numror, jpdom_autoglo, 'ubb_e' , ubb_e(:,:) )
	1205	CALL iom_get( numror, jpdom_autoglo, 'vbb_e' , vbb_e(:,:) )
	1206	CALL iom_get( numror, jpdom_autoglo, 'sshb_e' , sshb_e(:,:) )
	1207	CALL iom_get( numror, jpdom_autoglo, 'ub_e' , ub_e(:,:) )
	1208	CALL iom_get( numror, jpdom_autoglo, 'vb_e' , vb_e(:,:) )
[508]	1209	ENDIF
[4486]	1210	#if defined key_agrif
	1211	! Read time integrated fluxes
	1212	IF ( .NOT.Agrif_Root() ) THEN
	1213	CALL iom_get( numror, jpdom_autoglo, 'ub2_i_b' , ub2_i_b(:,:) )
	1214	CALL iom_get( numror, jpdom_autoglo, 'vb2_i_b' , vb2_i_b(:,:) )
	1215	ENDIF
	1216	#endif
[4292]	1217	!
	1218	ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN
	1219	CALL iom_rstput( kt, nitrst, numrow, 'ub2_b' , ub2_b (:,:) )
	1220	CALL iom_rstput( kt, nitrst, numrow, 'vb2_b' , vb2_b (:,:) )
	1221	!
	1222	IF (.NOT.ln_bt_av) THEN
	1223	CALL iom_rstput( kt, nitrst, numrow, 'sshbb_e' , sshbb_e(:,:) )
	1224	CALL iom_rstput( kt, nitrst, numrow, 'ubb_e' , ubb_e(:,:) )
	1225	CALL iom_rstput( kt, nitrst, numrow, 'vbb_e' , vbb_e(:,:) )
	1226	CALL iom_rstput( kt, nitrst, numrow, 'sshb_e' , sshb_e(:,:) )
	1227	CALL iom_rstput( kt, nitrst, numrow, 'ub_e' , ub_e(:,:) )
	1228	CALL iom_rstput( kt, nitrst, numrow, 'vb_e' , vb_e(:,:) )
	1229	ENDIF
[4486]	1230	#if defined key_agrif
	1231	! Save time integrated fluxes
	1232	IF ( .NOT.Agrif_Root() ) THEN
	1233	CALL iom_rstput( kt, nitrst, numrow, 'ub2_i_b' , ub2_i_b(:,:) )
	1234	CALL iom_rstput( kt, nitrst, numrow, 'vb2_i_b' , vb2_i_b(:,:) )
	1235	ENDIF
	1236	#endif
[4292]	1237	ENDIF
	1238	!
	1239	END SUBROUTINE ts_rst
[2528]	1240
[6140]	1241
	1242	SUBROUTINE dyn_spg_ts_init
[4292]	1243	!!---------------------------------------------------------------------
	1244	!! * ROUTINE dyn_spg_ts_init *
	1245	!!
	1246	!! ** Purpose : Set time splitting options
	1247	!!----------------------------------------------------------------------
[6140]	1248	INTEGER :: ji ,jj ! dummy loop indices
	1249	REAL(wp) :: zxr2, zyr2, zcmax ! local scalar
	1250	REAL(wp), POINTER, DIMENSION(:,:) :: zcu
[4292]	1251	!!----------------------------------------------------------------------
[4370]	1252	!
[5930]	1253	! Max courant number for ext. grav. waves
[4370]	1254	!
[6140]	1255	CALL wrk_alloc( jpi,jpj, zcu )
[4292]	1256	!
[5930]	1257	DO jj = 1, jpj
	1258	DO ji =1, jpi
	1259	zxr2 = r1_e1t(ji,jj) * r1_e1t(ji,jj)
	1260	zyr2 = r1_e2t(ji,jj) * r1_e2t(ji,jj)
[7646]	1261	zcu(ji,jj) = SQRT( grav * MAX(ht_0(ji,jj),0._wp) * (zxr2 + zyr2) )
[4370]	1262	END DO
[5930]	1263	END DO
	1264	!
[5836]	1265	zcmax = MAXVAL( zcu(:,:) )
[4292]	1266	IF( lk_mpp ) CALL mpp_max( zcmax )
[2528]	1267
[4370]	1268	! Estimate number of iterations to satisfy a max courant number= rn_bt_cmax
[6140]	1269	IF( ln_bt_auto ) nn_baro = CEILING( rdt / rn_bt_cmax * zcmax)
[4292]	1270
[5836]	1271	rdtbt = rdt / REAL( nn_baro , wp )
[4292]	1272	zcmax = zcmax * rdtbt
	1273	! Print results
	1274	IF(lwp) WRITE(numout,*)
	1275	IF(lwp) WRITE(numout,*) 'dyn_spg_ts : split-explicit free surface'
	1276	IF(lwp) WRITE(numout,*) '~~~~~~~~~~'
[5930]	1277	IF( ln_bt_auto ) THEN
	1278	IF(lwp) WRITE(numout,*) ' ln_ts_auto=.true. Automatically set nn_baro '
[4370]	1279	IF(lwp) WRITE(numout,*) ' Max. courant number allowed: ', rn_bt_cmax
[4292]	1280	ELSE
[5930]	1281	IF(lwp) WRITE(numout,*) ' ln_ts_auto=.false.: Use nn_baro in namelist '
[358]	1282	ENDIF
[4292]	1283
	1284	IF(ln_bt_av) THEN
[4370]	1285	IF(lwp) WRITE(numout,*) ' ln_bt_av=.true. => Time averaging over nn_baro time steps is on '
[4292]	1286	ELSE
[4370]	1287	IF(lwp) WRITE(numout,*) ' ln_bt_av=.false. => No time averaging of barotropic variables '
[4292]	1288	ENDIF
[508]	1289	!
[4292]	1290	!
	1291	IF(ln_bt_fw) THEN
[4370]	1292	IF(lwp) WRITE(numout,*) ' ln_bt_fw=.true. => Forward integration of barotropic variables '
[4292]	1293	ELSE
[4370]	1294	IF(lwp) WRITE(numout,*) ' ln_bt_fw =.false.=> Centred integration of barotropic variables '
[4292]	1295	ENDIF
	1296	!
[4486]	1297	#if defined key_agrif
	1298	! Restrict the use of Agrif to the forward case only
[6140]	1299	IF( .NOT.ln_bt_fw .AND. .NOT.Agrif_Root() ) CALL ctl_stop( 'AGRIF not implemented if ln_bt_fw=.FALSE.' )
[4486]	1300	#endif
	1301	!
[4370]	1302	IF(lwp) WRITE(numout,*) ' Time filter choice, nn_bt_flt: ', nn_bt_flt
[4292]	1303	SELECT CASE ( nn_bt_flt )
[6140]	1304	CASE( 0 ) ; IF(lwp) WRITE(numout,*) ' Dirac'
	1305	CASE( 1 ) ; IF(lwp) WRITE(numout,*) ' Boxcar: width = nn_baro'
	1306	CASE( 2 ) ; IF(lwp) WRITE(numout,) ' Boxcar: width = 2nn_baro'
	1307	CASE DEFAULT ; CALL ctl_stop( 'unrecognised value for nn_bt_flt: should 0,1,2' )
[4292]	1308	END SELECT
	1309	!
[4370]	1310	IF(lwp) WRITE(numout,*) ' '
	1311	IF(lwp) WRITE(numout,*) ' nn_baro = ', nn_baro
	1312	IF(lwp) WRITE(numout,*) ' Barotropic time step [s] is :', rdtbt
	1313	IF(lwp) WRITE(numout,*) ' Maximum Courant number is :', zcmax
	1314	!
[6140]	1315	IF( .NOT.ln_bt_av .AND. .NOT.ln_bt_fw ) THEN
[4292]	1316	CALL ctl_stop( 'dynspg_ts ERROR: No time averaging => only forward integration is possible' )
	1317	ENDIF
[6140]	1318	IF( zcmax>0.9_wp ) THEN
[4292]	1319	CALL ctl_stop( 'dynspg_ts ERROR: Maximum Courant number is greater than 0.9: Inc. nn_baro !' )
	1320	ENDIF
	1321	!
[6140]	1322	CALL wrk_dealloc( jpi,jpj, zcu )
[4292]	1323	!
	1324	END SUBROUTINE dyn_spg_ts_init
[508]	1325
[358]	1326	!!======================================================================
	1327	END MODULE dynspg_ts

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source: trunk/NEMOGCM/NEMO/OPA_SRC/DYN/dynspg_ts.F90 @ 7831

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