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dynspg_ts.F90 in NEMO/branches/2020/test_12905_xios_restart/src/OCE/DYN – NEMO

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source: NEMO/branches/2020/test_12905_xios_restart/src/OCE/DYN/dynspg_ts.F90 @ 13751

Last change on this file since 13751 was 13751, checked in by andmirek, 4 years ago
Ticket #2462: Update test branch to the revision 13750 of the development branch
Property svn:keywords set to `Id`
File size: 78.9 KB

Rev	Line
[358]	1	MODULE dynspg_ts
[9023]	2
[12377]	3	!! Includes ROMS wd scheme with diagnostic outputs ; puu(:,:,:,Kmm) and puu(:,:,:,Krhs) updates are commented out !
[9023]	4
[358]	5	!!======================================================================
[6140]	6	!! * MODULE dynspg_ts *
	7	!! Ocean dynamics: surface pressure gradient trend, split-explicit scheme
	8	!!======================================================================
[1502]	9	!! History : 1.0 ! 2004-12 (L. Bessieres, G. Madec) Original code
	10	!! - ! 2005-11 (V. Garnier, G. Madec) optimization
	11	!! - ! 2006-08 (S. Masson) distributed restart using iom
	12	!! 2.0 ! 2007-07 (D. Storkey) calls to BDY routines
	13	!! - ! 2008-01 (R. Benshila) change averaging method
	14	!! 3.2 ! 2009-07 (R. Benshila, G. Madec) Complete revisit associated to vvl reactivation
[2528]	15	!! 3.3 ! 2010-09 (D. Storkey, E. O'Dea) update for BDY for Shelf configurations
[2724]	16	!! 3.3 ! 2011-03 (R. Benshila, R. Hordoir, P. Oddo) update calculation of ub_b
[4292]	17	!! 3.5 ! 2013-07 (J. Chanut) Switch to Forward-backward time stepping
	18	!! 3.6 ! 2013-11 (A. Coward) Update for z-tilde compatibility
[5930]	19	!! 3.7 ! 2015-11 (J. Chanut) free surface simplification
[7646]	20	!! - ! 2016-12 (G. Madec, E. Clementi) update for Stoke-Drift divergence
[9019]	21	!! 4.0 ! 2017-05 (G. Madec) drag coef. defined at t-point (zdfdrg.F90)
[2724]	22	!!---------------------------------------------------------------------
[6140]	23
[358]	24	!!----------------------------------------------------------------------
[6140]	25	!! dyn_spg_ts : compute surface pressure gradient trend using a time-splitting scheme
	26	!! dyn_spg_ts_init: initialisation of the time-splitting scheme
	27	!! ts_wgt : set time-splitting weights for temporal averaging (or not)
	28	!! ts_rst : read/write time-splitting fields in restart file
[358]	29	!!----------------------------------------------------------------------
	30	USE oce ! ocean dynamics and tracers
	31	USE dom_oce ! ocean space and time domain
[888]	32	USE sbc_oce ! surface boundary condition: ocean
[12377]	33	USE isf_oce ! ice shelf variable (fwfisf)
[9019]	34	USE zdf_oce ! vertical physics: variables
	35	USE zdfdrg ! vertical physics: top/bottom drag coef.
[6140]	36	USE sbcapr ! surface boundary condition: atmospheric pressure
	37	USE dynadv , ONLY: ln_dynadv_vec
[9528]	38	USE dynvor ! vortivity scheme indicators
[358]	39	USE phycst ! physical constants
	40	USE dynvor ! vorticity term
[6152]	41	USE wet_dry ! wetting/drying flux limter
[7646]	42	USE bdy_oce ! open boundary
[10481]	43	USE bdyvol ! open boundary volume conservation
[5930]	44	USE bdytides ! open boundary condition data
[3294]	45	USE bdydyn2d ! open boundary conditions on barotropic variables
[12377]	46	USE tide_mod !
[7646]	47	USE sbcwave ! surface wave
[9019]	48	#if defined key_agrif
[9570]	49	USE agrif_oce_interp ! agrif
[9124]	50	USE agrif_oce
[9019]	51	#endif
	52	#if defined key_asminc
	53	USE asminc ! Assimilation increment
	54	#endif
[6140]	55	!
	56	USE in_out_manager ! I/O manager
[358]	57	USE lib_mpp ! distributed memory computing library
	58	USE lbclnk ! ocean lateral boundary conditions (or mpp link)
	59	USE prtctl ! Print control
[2715]	60	USE iom ! IOM library
[4292]	61	USE restart ! only for lrst_oce
[358]	62
[11536]	63	USE iom ! to remove
	64
[358]	65	IMPLICIT NONE
	66	PRIVATE
	67
[9124]	68	PUBLIC dyn_spg_ts ! called by dyn_spg
	69	PUBLIC dyn_spg_ts_init ! - - dyn_spg_init
[358]	70
[9019]	71	!! Time filtered arrays at baroclinic time step:
	72	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: un_adv , vn_adv !: Advection vel. at "now" barocl. step
[9124]	73	!
[12489]	74	INTEGER, SAVE :: icycle ! Number of barotropic sub-steps for each internal step nn_e <= 2.5 nn_e
	75	REAL(wp),SAVE :: rDt_e ! Barotropic time step
[9019]	76	!
	77	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:) :: wgtbtp1, wgtbtp2 ! 1st & 2nd weights used in time filtering of barotropic fields
[9124]	78	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: zwz ! ff_f/h at F points
	79	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ftnw, ftne ! triad of coriolis parameter
	80	REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ftsw, ftse ! (only used with een vorticity scheme)
[4292]	81
[9043]	82	REAL(wp) :: r1_12 = 1._wp / 12._wp ! local ratios
	83	REAL(wp) :: r1_8 = 0.125_wp !
	84	REAL(wp) :: r1_4 = 0.25_wp !
	85	REAL(wp) :: r1_2 = 0.5_wp !
[508]	86
[358]	87	!! * Substitutions
[12377]	88	# include "do_loop_substitute.h90"
[13751]	89	# include "domzgr_substitute.h90"
[2715]	90	!!----------------------------------------------------------------------
[9598]	91	!! NEMO/OCE 4.0 , NEMO Consortium (2018)
[5217]	92	!! $Id$
[10068]	93	!! Software governed by the CeCILL license (see ./LICENSE)
[2715]	94	!!----------------------------------------------------------------------
[358]	95	CONTAINS
	96
[2715]	97	INTEGER FUNCTION dyn_spg_ts_alloc()
	98	!!----------------------------------------------------------------------
	99	!! * routine dyn_spg_ts_alloc *
	100	!!----------------------------------------------------------------------
[6140]	101	INTEGER :: ierr(3)
[4292]	102	!!----------------------------------------------------------------------
	103	ierr(:) = 0
[6140]	104	!
[12489]	105	ALLOCATE( wgtbtp1(3nn_e), wgtbtp2(3nn_e), zwz(jpi,jpj), STAT=ierr(1) )
[9528]	106	IF( ln_dynvor_een .OR. ln_dynvor_eeT ) &
[11536]	107	& ALLOCATE( ftnw(jpi,jpj) , ftne(jpi,jpj) , ftsw(jpi,jpj) , ftse(jpi,jpj), STAT=ierr(2) )
[6140]	108	!
	109	ALLOCATE( un_adv(jpi,jpj), vn_adv(jpi,jpj) , STAT=ierr(3) )
	110	!
	111	dyn_spg_ts_alloc = MAXVAL( ierr(:) )
	112	!
[10425]	113	CALL mpp_sum( 'dynspg_ts', dyn_spg_ts_alloc )
	114	IF( dyn_spg_ts_alloc /= 0 ) CALL ctl_stop( 'STOP', 'dyn_spg_ts_alloc: failed to allocate arrays' )
[2715]	115	!
	116	END FUNCTION dyn_spg_ts_alloc
	117
[5836]	118
[12377]	119	SUBROUTINE dyn_spg_ts( kt, Kbb, Kmm, Krhs, puu, pvv, pssh, puu_b, pvv_b, Kaa )
[358]	120	!!----------------------------------------------------------------------
	121	!!
[6140]	122	!! ** Purpose : - Compute the now trend due to the explicit time stepping
	123	!! of the quasi-linear barotropic system, and add it to the
	124	!! general momentum trend.
[358]	125	!!
[6140]	126	!! ** Method : - split-explicit schem (time splitting) :
[4374]	127	!! Barotropic variables are advanced from internal time steps
	128	!! "n" to "n+1" if ln_bt_fw=T
	129	!! or from
	130	!! "n-1" to "n+1" if ln_bt_fw=F
	131	!! thanks to a generalized forward-backward time stepping (see ref. below).
[358]	132	!!
[4374]	133	!! ** Action :
[12377]	134	!! -Update the filtered free surface at step "n+1" : pssh(:,:,Kaa)
	135	!! -Update filtered barotropic velocities at step "n+1" : puu_b(:,:,:,Kaa), vv_b(:,:,:,Kaa)
[9023]	136	!! -Compute barotropic advective fluxes at step "n" : un_adv, vn_adv
[4374]	137	!! These are used to advect tracers and are compliant with discrete
	138	!! continuity equation taken at the baroclinic time steps. This
	139	!! ensures tracers conservation.
[12377]	140	!! - (puu(:,:,:,Krhs), pvv(:,:,:,Krhs)) momentum trend updated with barotropic component.
[358]	141	!!
[6140]	142	!! References : Shchepetkin and McWilliams, Ocean Modelling, 2005.
[358]	143	!!---------------------------------------------------------------------
[12377]	144	INTEGER , INTENT( in ) :: kt ! ocean time-step index
	145	INTEGER , INTENT( in ) :: Kbb, Kmm, Krhs, Kaa ! ocean time level indices
	146	REAL(wp), DIMENSION(jpi,jpj,jpk,jpt), INTENT(inout) :: puu, pvv ! ocean velocities and RHS of momentum equation
	147	REAL(wp), DIMENSION(jpi,jpj,jpt) , INTENT(inout) :: pssh, puu_b, pvv_b ! SSH and barotropic velocities at main time levels
[2715]	148	!
[9554]	149	INTEGER :: ji, jj, jk, jn ! dummy loop indices
[9019]	150	LOGICAL :: ll_fw_start ! =T : forward integration
[9554]	151	LOGICAL :: ll_init ! =T : special startup of 2d equations
[11536]	152	INTEGER :: noffset ! local integers : time offset for bdy update
[12489]	153	REAL(wp) :: r1_Dt_b, z1_hu, z1_hv ! local scalars
[9528]	154	REAL(wp) :: za0, za1, za2, za3 ! - -
[12206]	155	REAL(wp) :: zztmp, zldg ! - -
[11536]	156	REAL(wp) :: zhu_bck, zhv_bck, zhdiv ! - -
	157	REAL(wp) :: zun_save, zvn_save ! - -
	158	REAL(wp), DIMENSION(jpi,jpj) :: zu_trd, zu_frc, zu_spg, zssh_frc
	159	REAL(wp), DIMENSION(jpi,jpj) :: zv_trd, zv_frc, zv_spg
	160	REAL(wp), DIMENSION(jpi,jpj) :: zsshu_a, zhup2_e, zhtp2_e
	161	REAL(wp), DIMENSION(jpi,jpj) :: zsshv_a, zhvp2_e, zsshp2_e
[9019]	162	REAL(wp), DIMENSION(jpi,jpj) :: zCdU_u, zCdU_v ! top/bottom stress at u- & v-points
[11536]	163	REAL(wp), DIMENSION(jpi,jpj) :: zhU, zhV ! fluxes
[13751]	164	REAL(wp), DIMENSION(jpi, jpj, jpk) :: ze3u, ze3v
[3294]	165	!
[9023]	166	REAL(wp) :: zwdramp ! local scalar - only used if ln_wd_dl = .True.
	167
	168	INTEGER :: iwdg, jwdg, kwdg ! short-hand values for the indices of the output point
	169
	170	REAL(wp) :: zepsilon, zgamma ! - -
[9019]	171	REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zcpx, zcpy ! Wetting/Dying gravity filter coef.
[9023]	172	REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: ztwdmask, zuwdmask, zvwdmask ! ROMS wetting and drying masks at t,u,v points
	173	REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zuwdav2, zvwdav2 ! averages over the sub-steps of zuwdmask and zvwdmask
[12377]	174	REAL(wp) :: zt0substep ! Time of day at the beginning of the time substep
[358]	175	!!----------------------------------------------------------------------
[3294]	176	!
[9023]	177	IF( ln_wd_il ) ALLOCATE( zcpx(jpi,jpj), zcpy(jpi,jpj) )
	178	! !* Allocate temporary arrays
	179	IF( ln_wd_dl ) ALLOCATE( ztwdmask(jpi,jpj), zuwdmask(jpi,jpj), zvwdmask(jpi,jpj), zuwdav2(jpi,jpj), zvwdav2(jpi,jpj))
[3294]	180	!
[9023]	181	zwdramp = r_rn_wdmin1 ! simplest ramp
	182	! zwdramp = 1._wp / (rn_wdmin2 - rn_wdmin1) ! more general ramp
[11536]	183	! ! inverse of baroclinic time step
[12489]	184	r1_Dt_b = 1._wp / rDt
[4292]	185	!
[9023]	186	ll_init = ln_bt_av ! if no time averaging, then no specific restart
[4292]	187	ll_fw_start = .FALSE.
[9023]	188	! ! time offset in steps for bdy data update
[12489]	189	IF( .NOT.ln_bt_fw ) THEN ; noffset = - nn_e
[6140]	190	ELSE ; noffset = 0
	191	ENDIF
[4292]	192	!
[9023]	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	!
[12489]	200	IF( l_1st_euler ) ll_init=.TRUE.
[1502]	201	!
[12489]	202	IF( ln_bt_fw .OR. l_1st_euler ) THEN
[6140]	203	ll_fw_start =.TRUE.
	204	noffset = 0
[4292]	205	ELSE
[6140]	206	ll_fw_start =.FALSE.
[4292]	207	ENDIF
[11536]	208	! ! Set averaging weights and cycle length:
[6140]	209	CALL ts_wgt( ln_bt_av, ll_fw_start, icycle, wgtbtp1, wgtbtp2 )
[4292]	210	!
[12489]	211	ELSEIF( kt == nit000 + 1 ) THEN !* initialisation 2nd time-step
	212	!
	213	IF( .NOT.ln_bt_fw ) THEN
	214	! If we did an Euler timestep on the first timestep we need to reset ll_fw_start
	215	! and the averaging weights. We don't have an easy way of telling whether we did
	216	! an Euler timestep on the first timestep (because l_1st_euler is reset to .false.
	217	! at the end of the first timestep) so just do this in all cases.
	218	ll_fw_start = .FALSE.
	219	CALL ts_wgt( ln_bt_av, ll_fw_start, icycle, wgtbtp1, wgtbtp2 )
	220	ENDIF
	221	!
[4292]	222	ENDIF
	223	!
[358]	224	! -----------------------------------------------------------------------------
	225	! Phase 1 : Coupling between general trend and barotropic estimates (1st step)
	226	! -----------------------------------------------------------------------------
[1502]	227	!
[4292]	228	!
[11536]	229	! != zu_frc = 1/H e3*d/dt(Ua) =! (Vertical mean of Ua, the 3D trends)
	230	! ! --------------------------- !
[13751]	231	DO jk = 1 , jpk
	232	ze3u(:,:,jk) = e3u(:,:,jk,Kmm)
	233	ze3v(:,:,jk) = e3v(:,:,jk,Kmm)
	234	END DO
[1502]	235	!
[13751]	236	zu_frc(:,:) = SUM( ze3u(:,:,:) * uu(:,:,:,Krhs) * umask(:,:,:) , DIM=3 ) * r1_hu(:,:,Kmm)
	237	zv_frc(:,:) = SUM( ze3v(:,:,:) * vv(:,:,:,Krhs) * vmask(:,:,:) , DIM=3 ) * r1_hv(:,:,Kmm)
[4292]	238	!
[13751]	239	!
[12377]	240	! != U(Krhs) => baroclinic trend =! (remove its vertical mean)
	241	DO jk = 1, jpkm1 ! ----------------------------- !
	242	uu(:,:,jk,Krhs) = ( uu(:,:,jk,Krhs) - zu_frc(:,:) ) * umask(:,:,jk)
	243	vv(:,:,jk,Krhs) = ( vv(:,:,jk,Krhs) - zv_frc(:,:) ) * vmask(:,:,jk)
[1502]	244	END DO
[7646]	245
	246	!!gm Question here when removing the Vertically integrated trends, we remove the vertically integrated NL trends on momentum....
	247	!!gm Is it correct to do so ? I think so...
	248
[11536]	249	! != remove 2D Coriolis and pressure gradient trends =!
	250	! ! ------------------------------------------------- !
[9528]	251	!
[12377]	252	IF( kt == nit000 .OR. .NOT. ln_linssh ) CALL dyn_cor_2D_init( Kmm ) ! Set zwz, the barotropic Coriolis force coefficient
[11536]	253	! ! recompute zwz = f/depth at every time step for (.NOT.ln_linssh) as the water colomn height changes
[1502]	254	!
[11536]	255	! !* 2D Coriolis trends
[12377]	256	zhU(:,:) = puu_b(:,:,Kmm) * hu(:,:,Kmm) * e2u(:,:) ! now fluxes
	257	zhV(:,:) = pvv_b(:,:,Kmm) * hv(:,:,Kmm) * e1v(:,:) ! NB: FULL domain : put a value in last row and column
[11536]	258	!
[13751]	259	CALL dyn_cor_2d( ht(:,:), hu(:,:,Kmm), hv(:,:,Kmm), puu_b(:,:,Kmm), pvv_b(:,:,Kmm), zhU, zhV, & ! <<== in
[12377]	260	& zu_trd, zv_trd ) ! ==>> out
[11536]	261	!
	262	IF( .NOT.ln_linssh ) THEN !* surface pressure gradient (variable volume only)
[508]	263	!
[11536]	264	IF( ln_wd_il ) THEN ! W/D : limiter applied to spgspg
[12377]	265	CALL wad_spg( pssh(:,:,Kmm), zcpx, zcpy ) ! Calculating W/D gravity filters, zcpx and zcpy
[13751]	266	DO_2D( 0, 0, 0, 0 ) ! SPG with the application of W/D gravity filters
[12377]	267	zu_trd(ji,jj) = zu_trd(ji,jj) - grav * ( pssh(ji+1,jj ,Kmm) - pssh(ji ,jj ,Kmm) ) &
	268	& * r1_e1u(ji,jj) * zcpx(ji,jj) * wdrampu(ji,jj) !jth
	269	zv_trd(ji,jj) = zv_trd(ji,jj) - grav * ( pssh(ji ,jj+1,Kmm) - pssh(ji ,jj ,Kmm) ) &
	270	& * r1_e2v(ji,jj) * zcpy(ji,jj) * wdrampv(ji,jj) !jth
	271	END_2D
[11536]	272	ELSE ! now suface pressure gradient
[13751]	273	DO_2D( 0, 0, 0, 0 )
[12377]	274	zu_trd(ji,jj) = zu_trd(ji,jj) - grav * ( pssh(ji+1,jj ,Kmm) - pssh(ji ,jj ,Kmm) ) * r1_e1u(ji,jj)
	275	zv_trd(ji,jj) = zv_trd(ji,jj) - grav * ( pssh(ji ,jj+1,Kmm) - pssh(ji ,jj ,Kmm) ) * r1_e2v(ji,jj)
	276	END_2D
[9019]	277	ENDIF
	278	!
[1502]	279	ENDIF
[9019]	280	!
[13751]	281	DO_2D( 0, 0, 0, 0 ) ! Remove coriolis term (and possibly spg) from barotropic trend
[12377]	282	zu_frc(ji,jj) = zu_frc(ji,jj) - zu_trd(ji,jj) * ssumask(ji,jj)
	283	zv_frc(ji,jj) = zv_frc(ji,jj) - zv_trd(ji,jj) * ssvmask(ji,jj)
	284	END_2D
[4292]	285	!
[11536]	286	! != Add bottom stress contribution from baroclinic velocities =!
	287	! ! ----------------------------------------------------------- !
[12377]	288	CALL dyn_drg_init( Kbb, Kmm, puu, pvv, puu_b ,pvv_b, zu_frc, zv_frc, zCdU_u, zCdU_v ) ! also provide the barotropic drag coefficients
[11536]	289	! != Add atmospheric pressure forcing =!
	290	! ! ---------------------------------- !
	291	IF( ln_apr_dyn ) THEN
	292	IF( ln_bt_fw ) THEN ! FORWARD integration: use kt+1/2 pressure (NOW+1/2)
[13751]	293	DO_2D( 0, 0, 0, 0 )
[12377]	294	zu_frc(ji,jj) = zu_frc(ji,jj) + grav * ( ssh_ib (ji+1,jj ) - ssh_ib (ji,jj) ) * r1_e1u(ji,jj)
	295	zv_frc(ji,jj) = zv_frc(ji,jj) + grav * ( ssh_ib (ji ,jj+1) - ssh_ib (ji,jj) ) * r1_e2v(ji,jj)
	296	END_2D
[11536]	297	ELSE ! CENTRED integration: use kt-1/2 + kt+1/2 pressure (NOW)
	298	zztmp = grav * r1_2
[13751]	299	DO_2D( 0, 0, 0, 0 )
[12377]	300	zu_frc(ji,jj) = zu_frc(ji,jj) + zztmp * ( ssh_ib (ji+1,jj ) - ssh_ib (ji,jj) &
	301	& + ssh_ibb(ji+1,jj ) - ssh_ibb(ji,jj) ) * r1_e1u(ji,jj)
	302	zv_frc(ji,jj) = zv_frc(ji,jj) + zztmp * ( ssh_ib (ji ,jj+1) - ssh_ib (ji,jj) &
	303	& + ssh_ibb(ji ,jj+1) - ssh_ibb(ji,jj) ) * r1_e2v(ji,jj)
	304	END_2D
	305	ENDIF
[9019]	306	ENDIF
[11536]	307	!
	308	! != Add atmospheric pressure forcing =!
	309	! ! ---------------------------------- !
[9019]	310	IF( ln_bt_fw ) THEN ! Add wind forcing
[13751]	311	DO_2D( 0, 0, 0, 0 )
[12489]	312	zu_frc(ji,jj) = zu_frc(ji,jj) + r1_rho0 * utau(ji,jj) * r1_hu(ji,jj,Kmm)
	313	zv_frc(ji,jj) = zv_frc(ji,jj) + r1_rho0 * vtau(ji,jj) * r1_hv(ji,jj,Kmm)
[12377]	314	END_2D
[2724]	315	ELSE
[12489]	316	zztmp = r1_rho0 * r1_2
[13751]	317	DO_2D( 0, 0, 0, 0 )
[12377]	318	zu_frc(ji,jj) = zu_frc(ji,jj) + zztmp * ( utau_b(ji,jj) + utau(ji,jj) ) * r1_hu(ji,jj,Kmm)
	319	zv_frc(ji,jj) = zv_frc(ji,jj) + zztmp * ( vtau_b(ji,jj) + vtau(ji,jj) ) * r1_hv(ji,jj,Kmm)
	320	END_2D
[4292]	321	ENDIF
	322	!
[11536]	323	! !----------------!
	324	! !== sssh_frc ==! Right-Hand-Side of the barotropic ssh equation (over the FULL domain)
	325	! !----------------!
	326	! != Net water flux forcing applied to a water column =!
	327	! ! --------------------------------------------------- !
	328	IF (ln_bt_fw) THEN ! FORWARD integration: use kt+1/2 fluxes (NOW+1/2)
[12489]	329	zssh_frc(:,:) = r1_rho0 * ( emp(:,:) - rnf(:,:) + fwfisf_cav(:,:) + fwfisf_par(:,:) )
[11536]	330	ELSE ! CENTRED integration: use kt-1/2 + kt+1/2 fluxes (NOW)
[12489]	331	zztmp = r1_rho0 * r1_2
[12377]	332	zssh_frc(:,:) = zztmp * ( emp(:,:) + emp_b(:,:) &
	333	& - rnf(:,:) - rnf_b(:,:) &
	334	& + fwfisf_cav(:,:) + fwfisf_cav_b(:,:) &
	335	& + fwfisf_par(:,:) + fwfisf_par_b(:,:) )
[4292]	336	ENDIF
[11536]	337	! != Add Stokes drift divergence =! (if exist)
	338	IF( ln_sdw ) THEN ! ----------------------------- !
[7753]	339	zssh_frc(:,:) = zssh_frc(:,:) + div_sd(:,:)
[7646]	340	ENDIF
	341	!
[12377]	342	! ! ice sheet coupling
	343	IF ( ln_isf .AND. ln_isfcpl ) THEN
	344	!
	345	! ice sheet coupling
	346	IF( ln_rstart .AND. kt == nit000 ) THEN
	347	zssh_frc(:,:) = zssh_frc(:,:) + risfcpl_ssh(:,:)
	348	END IF
	349	!
	350	! conservation option
	351	IF( ln_isfcpl_cons ) THEN
	352	zssh_frc(:,:) = zssh_frc(:,:) + risfcpl_cons_ssh(:,:)
	353	END IF
	354	!
	355	END IF
	356	!
[4292]	357	#if defined key_asminc
[11536]	358	! != Add the IAU weighted SSH increment =!
	359	! ! ------------------------------------ !
[4292]	360	IF( lk_asminc .AND. ln_sshinc .AND. ln_asmiau ) THEN
[7753]	361	zssh_frc(:,:) = zssh_frc(:,:) - ssh_iau(:,:)
[4292]	362	ENDIF
	363	#endif
[11536]	364	! != Fill boundary data arrays for AGRIF
[5656]	365	! ! ------------------------------------
[4486]	366	#if defined key_agrif
	367	IF( .NOT.Agrif_Root() ) CALL agrif_dta_ts( kt )
	368	#endif
[4292]	369	!
[358]	370	! -----------------------------------------------------------------------
[4292]	371	! Phase 2 : Integration of the barotropic equations
[358]	372	! -----------------------------------------------------------------------
[1502]	373	!
	374	! ! ==================== !
	375	! ! Initialisations !
[4292]	376	! ! ==================== !
[4370]	377	! Initialize barotropic variables:
[4770]	378	IF( ll_init )THEN
[7753]	379	sshbb_e(:,:) = 0._wp
	380	ubb_e (:,:) = 0._wp
	381	vbb_e (:,:) = 0._wp
	382	sshb_e (:,:) = 0._wp
	383	ub_e (:,:) = 0._wp
	384	vb_e (:,:) = 0._wp
[4700]	385	ENDIF
	386	!
[11536]	387	IF( ln_linssh ) THEN ! mid-step ocean depth is fixed (hup2_e=hu_n=hu_0)
[12377]	388	zhup2_e(:,:) = hu(:,:,Kmm)
	389	zhvp2_e(:,:) = hv(:,:,Kmm)
	390	zhtp2_e(:,:) = ht(:,:)
[11536]	391	ENDIF
	392	!
[4370]	393	IF (ln_bt_fw) THEN ! FORWARD integration: start from NOW fields
[12377]	394	sshn_e(:,:) = pssh(:,:,Kmm)
	395	un_e (:,:) = puu_b(:,:,Kmm)
	396	vn_e (:,:) = pvv_b(:,:,Kmm)
[7753]	397	!
[12377]	398	hu_e (:,:) = hu(:,:,Kmm)
	399	hv_e (:,:) = hv(:,:,Kmm)
	400	hur_e (:,:) = r1_hu(:,:,Kmm)
	401	hvr_e (:,:) = r1_hv(:,:,Kmm)
[4370]	402	ELSE ! CENTRED integration: start from BEFORE fields
[12377]	403	sshn_e(:,:) = pssh(:,:,Kbb)
	404	un_e (:,:) = puu_b(:,:,Kbb)
	405	vn_e (:,:) = pvv_b(:,:,Kbb)
[7753]	406	!
[12377]	407	hu_e (:,:) = hu(:,:,Kbb)
	408	hv_e (:,:) = hv(:,:,Kbb)
	409	hur_e (:,:) = r1_hu(:,:,Kbb)
	410	hvr_e (:,:) = r1_hv(:,:,Kbb)
[4292]	411	ENDIF
	412	!
	413	! Initialize sums:
[12377]	414	puu_b (:,:,Kaa) = 0._wp ! After barotropic velocities (or transport if flux form)
	415	pvv_b (:,:,Kaa) = 0._wp
	416	pssh (:,:,Kaa) = 0._wp ! Sum for after averaged sea level
[7753]	417	un_adv(:,:) = 0._wp ! Sum for now transport issued from ts loop
	418	vn_adv(:,:) = 0._wp
[9528]	419	!
	420	IF( ln_wd_dl ) THEN
[9023]	421	zuwdmask(:,:) = 0._wp ! set to zero for definiteness (not sure this is necessary)
	422	zvwdmask(:,:) = 0._wp !
[9528]	423	zuwdav2 (:,:) = 0._wp
	424	zvwdav2 (:,:) = 0._wp
[9023]	425	END IF
	426
[9528]	427	! ! ==================== !
[4292]	428	DO jn = 1, icycle ! sub-time-step loop !
[1502]	429	! ! ==================== !
[10425]	430	!
	431	l_full_nf_update = jn == icycle ! false: disable full North fold update (performances) for jn = 1 to icycle-1
[4292]	432	!
[11536]	433	! !== Update the forcing ==! (BDY and tides)
	434	!
[12377]	435	IF( ln_bdy .AND. ln_tide ) CALL bdy_dta_tides( kt, kit=jn, pt_offset= REAL(noffset+1,wp) )
	436	! Update tide potential at the beginning of current time substep
	437	IF( ln_tide_pot .AND. ln_tide ) THEN
[12489]	438	zt0substep = REAL(nsec_day, wp) - 0.5_wprn_Dt + (jn + noffset - 1) rn_Dt / REAL(nn_e, wp)
[12377]	439	CALL upd_tide(zt0substep, Kmm)
	440	END IF
[11536]	441	!
	442	! !== extrapolation at mid-step ==! (jn+1/2)
	443	!
	444	! !* Set extrapolation coefficients for predictor step:
[4292]	445	IF ((jn<3).AND.ll_init) THEN ! Forward
	446	za1 = 1._wp
	447	za2 = 0._wp
	448	za3 = 0._wp
	449	ELSE ! AB3-AM4 Coefficients: bet=0.281105
	450	za1 = 1.781105_wp ! za1 = 3/2 + bet
	451	za2 = -1.06221_wp ! za2 = -(1/2 + 2*bet)
	452	za3 = 0.281105_wp ! za3 = bet
	453	ENDIF
[11536]	454	!
	455	! !* Extrapolate barotropic velocities at mid-step (jn+1/2)
	456	!-- m+1/2 m m-1 m-2 --!
	457	!-- u = (3/2+beta) u -(1/2+2beta) u + beta u --!
	458	!-------------------------------------------------------------------------!
[7753]	459	ua_e(:,:) = za1 * un_e(:,:) + za2 * ub_e(:,:) + za3 * ubb_e(:,:)
	460	va_e(:,:) = za1 * vn_e(:,:) + za2 * vb_e(:,:) + za3 * vbb_e(:,:)
[4292]	461
[6140]	462	IF( .NOT.ln_linssh ) THEN !* Update ocean depth (variable volume case only)
[4292]	463	! ! ------------------
	464	! Extrapolate Sea Level at step jit+0.5:
[11536]	465	!-- m+1/2 m m-1 m-2 --!
	466	!-- ssh = (3/2+beta) ssh -(1/2+2beta) ssh + beta ssh --!
	467	!--------------------------------------------------------------------------------!
[7753]	468	zsshp2_e(:,:) = za1 * sshn_e(:,:) + za2 * sshb_e(:,:) + za3 * sshbb_e(:,:)
[9023]	469
[11536]	470	! set wetting & drying mask at tracer points for this barotropic mid-step
	471	IF( ln_wd_dl ) CALL wad_tmsk( zsshp2_e, ztwdmask )
[9528]	472	!
[11536]	473	! ! ocean t-depth at mid-step
	474	zhtp2_e(:,:) = ht_0(:,:) + zsshp2_e(:,:)
	475	!
	476	! ! ocean u- and v-depth at mid-step (separate DO-loops remove the need of a lbc_lnk)
[13751]	477	DO_2D( 1, 1, 1, 0 ) ! not jpi-column
[12377]	478	zhup2_e(ji,jj) = hu_0(ji,jj) + r1_2 * r1_e1e2u(ji,jj) &
	479	& * ( e1e2t(ji ,jj) * zsshp2_e(ji ,jj) &
	480	& + e1e2t(ji+1,jj) * zsshp2_e(ji+1,jj) ) * ssumask(ji,jj)
	481	END_2D
[13751]	482	DO_2D( 1, 0, 1, 1 ) ! not jpj-row
[12377]	483	zhvp2_e(ji,jj) = hv_0(ji,jj) + r1_2 * r1_e1e2v(ji,jj) &
	484	& * ( e1e2t(ji,jj ) * zsshp2_e(ji,jj ) &
	485	& + e1e2t(ji,jj+1) * zsshp2_e(ji,jj+1) ) * ssvmask(ji,jj)
	486	END_2D
[4292]	487	!
	488	ENDIF
	489	!
[11536]	490	! !== after SSH ==! (jn+1)
	491	!
	492	! ! update (ua_e,va_e) to enforce volume conservation at open boundaries
	493	! ! values of zhup2_e and zhvp2_e on the halo are not needed in bdy_vol2d
[10481]	494	IF( ln_bdy .AND. ln_vol ) CALL bdy_vol2d( kt, jn, ua_e, va_e, zhup2_e, zhvp2_e )
[12377]	495	!
[11536]	496	! ! resulting flux at mid-step (not over the full domain)
	497	zhU(1:jpim1,1:jpj ) = e2u(1:jpim1,1:jpj ) * ua_e(1:jpim1,1:jpj ) * zhup2_e(1:jpim1,1:jpj ) ! not jpi-column
	498	zhV(1:jpi ,1:jpjm1) = e1v(1:jpi ,1:jpjm1) * va_e(1:jpi ,1:jpjm1) * zhvp2_e(1:jpi ,1:jpjm1) ! not jpj-row
[4486]	499	!
	500	#if defined key_agrif
[6140]	501	! Set fluxes during predictor step to ensure volume conservation
[12377]	502	IF( .NOT.Agrif_Root() .AND. ln_bt_fw ) CALL agrif_dyn_ts_flux( jn, zhU, zhV )
[4486]	503	#endif
[12489]	504	IF( ln_wd_il ) CALL wad_lmt_bt(zhU, zhV, sshn_e, zssh_frc, rDt_e) !!gm wad_lmt_bt use of lbc_lnk on zhU, zhV
[9023]	505
[11536]	506	IF( ln_wd_dl ) THEN ! un_e and vn_e are set to zero at faces where
	507	! ! the direction of the flow is from dry cells
	508	CALL wad_Umsk( ztwdmask, zhU, zhV, un_e, vn_e, zuwdmask, zvwdmask ) ! not jpi colomn for U, not jpj row for V
[9528]	509	!
	510	ENDIF
[11536]	511	!
	512	!
	513	! Compute Sea Level at step jit+1
	514	!-- m+1 m m+1/2 --!
	515	!-- ssh = ssh - delta_t' * [ frc + div( flux ) ] --!
	516	!-------------------------------------------------------------------------!
[13751]	517	DO_2D( 0, 0, 0, 0 )
[12377]	518	zhdiv = ( zhU(ji,jj) - zhU(ji-1,jj) + zhV(ji,jj) - zhV(ji,jj-1) ) * r1_e1e2t(ji,jj)
[12489]	519	ssha_e(ji,jj) = ( sshn_e(ji,jj) - rDt_e * ( zssh_frc(ji,jj) + zhdiv ) ) * ssmask(ji,jj)
[12377]	520	END_2D
[11536]	521	!
	522	CALL lbc_lnk_multi( 'dynspg_ts', ssha_e, 'T', 1._wp, zhU, 'U', -1._wp, zhV, 'V', -1._wp )
	523	!
[13751]	524	! Duplicate sea level across open boundaries (this is only cosmetic if linssh=T)
	525	IF( ln_bdy ) CALL bdy_ssh( ssha_e )
	526	#if defined key_agrif
	527	IF( .NOT.Agrif_Root() ) CALL agrif_ssh_ts( jn )
	528	#endif
	529	!
[11536]	530	! ! Sum over sub-time-steps to compute advective velocities
	531	za2 = wgtbtp2(jn) ! zhU, zhV hold fluxes extrapolated at jn+0.5
	532	un_adv(:,:) = un_adv(:,:) + za2 * zhU(:,:) * r1_e2u(:,:)
	533	vn_adv(:,:) = vn_adv(:,:) + za2 * zhV(:,:) * r1_e1v(:,:)
	534	! sum over sub-time-steps to decide which baroclinic velocities to set to zero (zuwdav2 is only used when ln_wd_dl_bc=True)
	535	IF ( ln_wd_dl_bc ) THEN
	536	zuwdav2(1:jpim1,1:jpj ) = zuwdav2(1:jpim1,1:jpj ) + za2 * zuwdmask(1:jpim1,1:jpj ) ! not jpi-column
	537	zvwdav2(1:jpi ,1:jpjm1) = zvwdav2(1:jpi ,1:jpjm1) + za2 * zvwdmask(1:jpi ,1:jpjm1) ! not jpj-row
	538	END IF
	539	!
[4292]	540	!
	541	! Sea Surface Height at u-,v-points (vvl case only)
[6140]	542	IF( .NOT.ln_linssh ) THEN
[13751]	543	DO_2D( 0, 0, 0, 0 )
[12377]	544	zsshu_a(ji,jj) = r1_2 * ssumask(ji,jj) * r1_e1e2u(ji,jj) &
	545	& * ( e1e2t(ji ,jj ) * ssha_e(ji ,jj ) &
	546	& + e1e2t(ji+1,jj ) * ssha_e(ji+1,jj ) )
	547	zsshv_a(ji,jj) = r1_2 * ssvmask(ji,jj) * r1_e1e2v(ji,jj) &
	548	& * ( e1e2t(ji ,jj ) * ssha_e(ji ,jj ) &
	549	& + e1e2t(ji ,jj+1) * ssha_e(ji ,jj+1) )
	550	END_2D
[4292]	551	ENDIF
[11536]	552	!
	553	! Half-step back interpolation of SSH for surface pressure computation at step jit+1/2
	554	!-- m+1/2 m+1 m m-1 m-2 --!
	555	!-- ssh' = za0 * ssh + za1 * ssh + za2 * ssh + za3 * ssh --!
	556	!------------------------------------------------------------------------------------------!
	557	CALL ts_bck_interp( jn, ll_init, za0, za1, za2, za3 ) ! coeficients of the interpolation
[9528]	558	zsshp2_e(:,:) = za0 * ssha_e(:,:) + za1 * sshn_e (:,:) &
	559	& + za2 * sshb_e(:,:) + za3 * sshbb_e(:,:)
[1502]	560	!
[11536]	561	! ! Surface pressure gradient
	562	zldg = ( 1._wp - rn_scal_load ) * grav ! local factor
[13751]	563	DO_2D( 0, 0, 0, 0 )
[12377]	564	zu_spg(ji,jj) = - zldg * ( zsshp2_e(ji+1,jj) - zsshp2_e(ji,jj) ) * r1_e1u(ji,jj)
	565	zv_spg(ji,jj) = - zldg * ( zsshp2_e(ji,jj+1) - zsshp2_e(ji,jj) ) * r1_e2v(ji,jj)
	566	END_2D
[11536]	567	IF( ln_wd_il ) THEN ! W/D : gravity filters applied on pressure gradient
	568	CALL wad_spg( zsshp2_e, zcpx, zcpy ) ! Calculating W/D gravity filters
	569	zu_spg(2:jpim1,2:jpjm1) = zu_spg(2:jpim1,2:jpjm1) * zcpx(2:jpim1,2:jpjm1)
	570	zv_spg(2:jpim1,2:jpjm1) = zv_spg(2:jpim1,2:jpjm1) * zcpy(2:jpim1,2:jpjm1)
[4292]	571	ENDIF
	572	!
	573	! Add Coriolis trend:
[6140]	574	! zwz array below or triads normally depend on sea level with ln_linssh=F and should be updated
[4292]	575	! at each time step. We however keep them constant here for optimization.
[11536]	576	! Recall that zhU and zhV hold fluxes at jn+0.5 (extrapolated not backward interpolated)
[13751]	577	CALL dyn_cor_2d( zhtp2_e, zhup2_e, zhvp2_e, ua_e, va_e, zhU, zhV, zu_trd, zv_trd )
[4292]	578	!
	579	! Add tidal astronomical forcing if defined
[7646]	580	IF ( ln_tide .AND. ln_tide_pot ) THEN
[13751]	581	DO_2D( 0, 0, 0, 0 )
[12377]	582	zu_trd(ji,jj) = zu_trd(ji,jj) + grav * ( pot_astro(ji+1,jj) - pot_astro(ji,jj) ) * r1_e1u(ji,jj)
	583	zv_trd(ji,jj) = zv_trd(ji,jj) + grav * ( pot_astro(ji,jj+1) - pot_astro(ji,jj) ) * r1_e2v(ji,jj)
	584	END_2D
[4292]	585	ENDIF
	586	!
[9023]	587	! Add bottom stresses:
	588	!jth do implicitly instead
	589	IF ( .NOT. ll_wd ) THEN ! Revert to explicit for bit comparison tests in non wad runs
[13751]	590	DO_2D( 0, 0, 0, 0 )
[12377]	591	zu_trd(ji,jj) = zu_trd(ji,jj) + zCdU_u(ji,jj) * un_e(ji,jj) * hur_e(ji,jj)
	592	zv_trd(ji,jj) = zv_trd(ji,jj) + zCdU_v(ji,jj) * vn_e(ji,jj) * hvr_e(ji,jj)
	593	END_2D
[11536]	594	ENDIF
[4292]	595	!
	596	! Set next velocities:
[11536]	597	! Compute barotropic speeds at step jit+1 (h : total height of the water colomn)
	598	!-- VECTOR FORM
	599	!-- m+1 m / m+1/2 \ --!
	600	!-- u = u + delta_t' * \ (1-r)g grad_x( ssh') - f * k vect u + frc / --!
	601	!-- --!
	602	!-- FLUX FORM --!
	603	!-- m+1 __1__ / m m / m+1/2 m+1/2 m+1/2 n \ \ --!
	604	!-- u = m+1 \| h * u + delta_t' * \ h * (1-r)g grad_x( ssh') - h * f * k vect u + h * frc / \| --!
	605	!-- h \ / --!
	606	!------------------------------------------------------------------------------------------------------------------------!
[9023]	607	IF( ln_dynadv_vec .OR. ln_linssh ) THEN !* Vector form
[13751]	608	DO_2D( 0, 0, 0, 0 )
[12377]	609	ua_e(ji,jj) = ( un_e(ji,jj) &
[12489]	610	& + rDt_e * ( zu_spg(ji,jj) &
[12377]	611	& + zu_trd(ji,jj) &
	612	& + zu_frc(ji,jj) ) &
	613	& ) * ssumask(ji,jj)
[358]	614
[12377]	615	va_e(ji,jj) = ( vn_e(ji,jj) &
[12489]	616	& + rDt_e * ( zv_spg(ji,jj) &
[12377]	617	& + zv_trd(ji,jj) &
	618	& + zv_frc(ji,jj) ) &
	619	& ) * ssvmask(ji,jj)
	620	END_2D
[6140]	621	!
[9023]	622	ELSE !* Flux form
[13751]	623	DO_2D( 0, 0, 0, 0 )
[12377]	624	! ! hu_e, hv_e hold depth at jn, zhup2_e, zhvp2_e hold extrapolated depth at jn+1/2
	625	! ! backward interpolated depth used in spg terms at jn+1/2
	626	zhu_bck = hu_0(ji,jj) + r1_2r1_e1e2u(ji,jj) ( e1e2t(ji ,jj) * zsshp2_e(ji ,jj) &
	627	& + e1e2t(ji+1,jj) * zsshp2_e(ji+1,jj) ) * ssumask(ji,jj)
	628	zhv_bck = hv_0(ji,jj) + r1_2r1_e1e2v(ji,jj) ( e1e2t(ji,jj ) * zsshp2_e(ji,jj ) &
	629	& + e1e2t(ji,jj+1) * zsshp2_e(ji,jj+1) ) * ssvmask(ji,jj)
	630	! ! inverse depth at jn+1
	631	z1_hu = ssumask(ji,jj) / ( hu_0(ji,jj) + zsshu_a(ji,jj) + 1._wp - ssumask(ji,jj) )
	632	z1_hv = ssvmask(ji,jj) / ( hv_0(ji,jj) + zsshv_a(ji,jj) + 1._wp - ssvmask(ji,jj) )
	633	!
	634	ua_e(ji,jj) = ( hu_e (ji,jj) * un_e (ji,jj) &
[12489]	635	& + rDt_e * ( zhu_bck * zu_spg (ji,jj) & !
[12377]	636	& + zhup2_e(ji,jj) * zu_trd (ji,jj) & !
	637	& + hu(ji,jj,Kmm) * zu_frc (ji,jj) ) ) * z1_hu
	638	!
	639	va_e(ji,jj) = ( hv_e (ji,jj) * vn_e (ji,jj) &
[12489]	640	& + rDt_e * ( zhv_bck * zv_spg (ji,jj) & !
[12377]	641	& + zhvp2_e(ji,jj) * zv_trd (ji,jj) & !
	642	& + hv(ji,jj,Kmm) * zv_frc (ji,jj) ) ) * z1_hv
	643	END_2D
[4292]	644	ENDIF
[10272]	645	!jth implicit bottom friction:
	646	IF ( ll_wd ) THEN ! revert to explicit for bit comparison tests in non wad runs
[13751]	647	DO_2D( 0, 0, 0, 0 )
[12489]	648	ua_e(ji,jj) = ua_e(ji,jj) /(1.0 - rDt_e * zCdU_u(ji,jj) * hur_e(ji,jj))
	649	va_e(ji,jj) = va_e(ji,jj) /(1.0 - rDt_e * zCdU_v(ji,jj) * hvr_e(ji,jj))
[12377]	650	END_2D
[10272]	651	ENDIF
[11536]	652
[13751]	653	IF( .NOT.ln_linssh ) THEN !* Update ocean depth (variable volume case only)
[11536]	654	hu_e (2:jpim1,2:jpjm1) = hu_0(2:jpim1,2:jpjm1) + zsshu_a(2:jpim1,2:jpjm1)
	655	hur_e(2:jpim1,2:jpjm1) = ssumask(2:jpim1,2:jpjm1) / ( hu_e(2:jpim1,2:jpjm1) + 1._wp - ssumask(2:jpim1,2:jpjm1) )
	656	hv_e (2:jpim1,2:jpjm1) = hv_0(2:jpim1,2:jpjm1) + zsshv_a(2:jpim1,2:jpjm1)
	657	hvr_e(2:jpim1,2:jpjm1) = ssvmask(2:jpim1,2:jpjm1) / ( hv_e(2:jpim1,2:jpjm1) + 1._wp - ssvmask(2:jpim1,2:jpjm1) )
[13751]	658	ENDIF
	659	!
	660	IF( .NOT.ln_linssh ) THEN !* Update ocean depth (variable volume case only)
[11536]	661	CALL lbc_lnk_multi( 'dynspg_ts', ua_e , 'U', -1._wp, va_e , 'V', -1._wp &
[12072]	662	& , hu_e , 'U', 1._wp, hv_e , 'V', 1._wp &
	663	& , hur_e, 'U', 1._wp, hvr_e, 'V', 1._wp )
[11536]	664	ELSE
	665	CALL lbc_lnk_multi( 'dynspg_ts', ua_e , 'U', -1._wp, va_e , 'V', -1._wp )
[1438]	666	ENDIF
[6140]	667	! ! open boundaries
[7646]	668	IF( ln_bdy ) CALL bdy_dyn2d( jn, ua_e, va_e, un_e, vn_e, hur_e, hvr_e, ssha_e )
[4486]	669	#if defined key_agrif
	670	IF( .NOT.Agrif_Root() ) CALL agrif_dyn_ts( jn ) ! Agrif
[4292]	671	#endif
	672	! !* Swap
	673	! ! ----
[7753]	674	ubb_e (:,:) = ub_e (:,:)
	675	ub_e (:,:) = un_e (:,:)
	676	un_e (:,:) = ua_e (:,:)
	677	!
	678	vbb_e (:,:) = vb_e (:,:)
	679	vb_e (:,:) = vn_e (:,:)
	680	vn_e (:,:) = va_e (:,:)
	681	!
	682	sshbb_e(:,:) = sshb_e(:,:)
	683	sshb_e (:,:) = sshn_e(:,:)
	684	sshn_e (:,:) = ssha_e(:,:)
[4292]	685
	686	! !* Sum over whole bt loop
	687	! ! ----------------------
	688	za1 = wgtbtp1(jn)
[6140]	689	IF( ln_dynadv_vec .OR. ln_linssh ) THEN ! Sum velocities
[12377]	690	puu_b (:,:,Kaa) = puu_b (:,:,Kaa) + za1 * ua_e (:,:)
	691	pvv_b (:,:,Kaa) = pvv_b (:,:,Kaa) + za1 * va_e (:,:)
[9023]	692	ELSE ! Sum transports
	693	IF ( .NOT.ln_wd_dl ) THEN
[12377]	694	puu_b (:,:,Kaa) = puu_b (:,:,Kaa) + za1 * ua_e (:,:) * hu_e (:,:)
	695	pvv_b (:,:,Kaa) = pvv_b (:,:,Kaa) + za1 * va_e (:,:) * hv_e (:,:)
[9023]	696	ELSE
[12377]	697	puu_b (:,:,Kaa) = puu_b (:,:,Kaa) + za1 * ua_e (:,:) * hu_e (:,:) * zuwdmask(:,:)
	698	pvv_b (:,:,Kaa) = pvv_b (:,:,Kaa) + za1 * va_e (:,:) * hv_e (:,:) * zvwdmask(:,:)
[9023]	699	END IF
[4292]	700	ENDIF
[9023]	701	! ! Sum sea level
[12377]	702	pssh(:,:,Kaa) = pssh(:,:,Kaa) + za1 * ssha_e(:,:)
[9023]	703
[358]	704	! ! ==================== !
	705	END DO ! end loop !
	706	! ! ==================== !
[1438]	707	! -----------------------------------------------------------------------------
[1502]	708	! Phase 3. update the general trend with the barotropic trend
[1438]	709	! -----------------------------------------------------------------------------
[1502]	710	!
[4292]	711	! Set advection velocity correction:
[9023]	712	IF (ln_bt_fw) THEN
[12489]	713	IF( .NOT.( kt == nit000 .AND. l_1st_euler ) ) THEN
[13751]	714	DO_2D( 1, 1, 1, 1 )
[12377]	715	zun_save = un_adv(ji,jj)
	716	zvn_save = vn_adv(ji,jj)
	717	! ! apply the previously computed correction
[12489]	718	un_adv(ji,jj) = r1_2 * ( ub2_b(ji,jj) + zun_save - rn_atfp * un_bf(ji,jj) )
	719	vn_adv(ji,jj) = r1_2 * ( vb2_b(ji,jj) + zvn_save - rn_atfp * vn_bf(ji,jj) )
[12377]	720	! ! Update corrective fluxes for next time step
[12489]	721	un_bf(ji,jj) = rn_atfp * un_bf(ji,jj) + ( zun_save - ub2_b(ji,jj) )
	722	vn_bf(ji,jj) = rn_atfp * vn_bf(ji,jj) + ( zvn_save - vb2_b(ji,jj) )
[12377]	723	! ! Save integrated transport for next computation
	724	ub2_b(ji,jj) = zun_save
	725	vb2_b(ji,jj) = zvn_save
	726	END_2D
[9023]	727	ELSE
[11536]	728	un_bf(:,:) = 0._wp ! corrective fluxes for next time step set to zero
	729	vn_bf(:,:) = 0._wp
	730	ub2_b(:,:) = un_adv(:,:) ! Save integrated transport for next computation
	731	vb2_b(:,:) = vn_adv(:,:)
	732	END IF
[4292]	733	ENDIF
[9023]	734
	735
[4292]	736	!
	737	! Update barotropic trend:
[6140]	738	IF( ln_dynadv_vec .OR. ln_linssh ) THEN
[4292]	739	DO jk=1,jpkm1
[12489]	740	puu(:,:,jk,Krhs) = puu(:,:,jk,Krhs) + ( puu_b(:,:,Kaa) - puu_b(:,:,Kbb) ) * r1_Dt_b
	741	pvv(:,:,jk,Krhs) = pvv(:,:,jk,Krhs) + ( pvv_b(:,:,Kaa) - pvv_b(:,:,Kbb) ) * r1_Dt_b
[4292]	742	END DO
	743	ELSE
[12377]	744	! At this stage, pssh(:,:,:,Krhs) has been corrected: compute new depths at velocity points
[13751]	745	DO_2D( 1, 0, 1, 0 )
[12377]	746	zsshu_a(ji,jj) = r1_2 * ssumask(ji,jj) * r1_e1e2u(ji,jj) &
	747	& * ( e1e2t(ji ,jj) * pssh(ji ,jj,Kaa) &
	748	& + e1e2t(ji+1,jj) * pssh(ji+1,jj,Kaa) )
	749	zsshv_a(ji,jj) = r1_2 * ssvmask(ji,jj) * r1_e1e2v(ji,jj) &
	750	& * ( e1e2t(ji,jj ) * pssh(ji,jj ,Kaa) &
	751	& + e1e2t(ji,jj+1) * pssh(ji,jj+1,Kaa) )
	752	END_2D
[10425]	753	CALL lbc_lnk_multi( 'dynspg_ts', zsshu_a, 'U', 1._wp, zsshv_a, 'V', 1._wp ) ! Boundary conditions
[5930]	754	!
[4292]	755	DO jk=1,jpkm1
[12489]	756	puu(:,:,jk,Krhs) = puu(:,:,jk,Krhs) + r1_hu(:,:,Kmm) * ( puu_b(:,:,Kaa) - puu_b(:,:,Kbb) * hu(:,:,Kbb) ) * r1_Dt_b
	757	pvv(:,:,jk,Krhs) = pvv(:,:,jk,Krhs) + r1_hv(:,:,Kmm) * ( pvv_b(:,:,Kaa) - pvv_b(:,:,Kbb) * hv(:,:,Kbb) ) * r1_Dt_b
[4292]	758	END DO
	759	! Save barotropic velocities not transport:
[12377]	760	puu_b(:,:,Kaa) = puu_b(:,:,Kaa) / ( hu_0(:,:) + zsshu_a(:,:) + 1._wp - ssumask(:,:) )
	761	pvv_b(:,:,Kaa) = pvv_b(:,:,Kaa) / ( hv_0(:,:) + zsshv_a(:,:) + 1._wp - ssvmask(:,:) )
[4292]	762	ENDIF
[9023]	763
	764
	765	! Correct velocities so that the barotropic velocity equals (un_adv, vn_adv) (in all cases)
[4292]	766	DO jk = 1, jpkm1
[12377]	767	puu(:,:,jk,Kmm) = ( puu(:,:,jk,Kmm) + un_adv(:,:)r1_hu(:,:,Kmm) - puu_b(:,:,Kmm) ) umask(:,:,jk)
	768	pvv(:,:,jk,Kmm) = ( pvv(:,:,jk,Kmm) + vn_adv(:,:)r1_hv(:,:,Kmm) - pvv_b(:,:,Kmm) ) vmask(:,:,jk)
[358]	769	END DO
[9023]	770
	771	IF ( ln_wd_dl .and. ln_wd_dl_bc) THEN
	772	DO jk = 1, jpkm1
[12377]	773	puu(:,:,jk,Kmm) = ( un_adv(:,:)*r1_hu(:,:,Kmm) &
	774	& + zuwdav2(:,:)(puu(:,:,jk,Kmm) - un_adv(:,:)r1_hu(:,:,Kmm)) ) * umask(:,:,jk)
	775	pvv(:,:,jk,Kmm) = ( vn_adv(:,:)*r1_hv(:,:,Kmm) &
	776	& + zvwdav2(:,:)(pvv(:,:,jk,Kmm) - vn_adv(:,:)r1_hv(:,:,Kmm)) ) * vmask(:,:,jk)
[9023]	777	END DO
	778	END IF
	779
	780
[12377]	781	CALL iom_put( "ubar", un_adv(:,:)*r1_hu(:,:,Kmm) ) ! barotropic i-current
	782	CALL iom_put( "vbar", vn_adv(:,:)*r1_hv(:,:,Kmm) ) ! barotropic i-current
[1502]	783	!
[4486]	784	#if defined key_agrif
	785	! Save time integrated fluxes during child grid integration
[5656]	786	! (used to update coarse grid transports at next time step)
[4486]	787	!
[6140]	788	IF( .NOT.Agrif_Root() .AND. ln_bt_fw ) THEN
	789	IF( Agrif_NbStepint() == 0 ) THEN
[7753]	790	ub2_i_b(:,:) = 0._wp
	791	vb2_i_b(:,:) = 0._wp
[4486]	792	END IF
	793	!
	794	za1 = 1._wp / REAL(Agrif_rhot(), wp)
[7753]	795	ub2_i_b(:,:) = ub2_i_b(:,:) + za1 * ub2_b(:,:)
	796	vb2_i_b(:,:) = vb2_i_b(:,:) + za1 * vb2_b(:,:)
[4486]	797	ENDIF
	798	#endif
[1502]	799	! !* write time-spliting arrays in the restart
[6140]	800	IF( lrst_oce .AND.ln_bt_fw ) CALL ts_rst( kt, 'WRITE' )
[508]	801	!
[9023]	802	IF( ln_wd_il ) DEALLOCATE( zcpx, zcpy )
	803	IF( ln_wd_dl ) DEALLOCATE( ztwdmask, zuwdmask, zvwdmask, zuwdav2, zvwdav2 )
[1662]	804	!
[12377]	805	CALL iom_put( "baro_u" , puu_b(:,:,Kmm) ) ! Barotropic U Velocity
	806	CALL iom_put( "baro_v" , pvv_b(:,:,Kmm) ) ! Barotropic V Velocity
[2715]	807	!
[508]	808	END SUBROUTINE dyn_spg_ts
	809
[6140]	810
[4292]	811	SUBROUTINE ts_wgt( ll_av, ll_fw, jpit, zwgt1, zwgt2)
	812	!!---------------------------------------------------------------------
	813	!! * ROUTINE ts_wgt *
	814	!!
	815	!! ** Purpose : Set time-splitting weights for temporal averaging (or not)
	816	!!----------------------------------------------------------------------
	817	LOGICAL, INTENT(in) :: ll_av ! temporal averaging=.true.
	818	LOGICAL, INTENT(in) :: ll_fw ! forward time splitting =.true.
	819	INTEGER, INTENT(inout) :: jpit ! cycle length
[12489]	820	REAL(wp), DIMENSION(3*nn_e), INTENT(inout) :: zwgt1, & ! Primary weights
[4292]	821	zwgt2 ! Secondary weights
	822
	823	INTEGER :: jic, jn, ji ! temporary integers
	824	REAL(wp) :: za1, za2
	825	!!----------------------------------------------------------------------
[508]	826
[4292]	827	zwgt1(:) = 0._wp
	828	zwgt2(:) = 0._wp
	829
	830	! Set time index when averaged value is requested
	831	IF (ll_fw) THEN
[12489]	832	jic = nn_e
[4292]	833	ELSE
[12489]	834	jic = 2 * nn_e
[4292]	835	ENDIF
	836
	837	! Set primary weights:
	838	IF (ll_av) THEN
	839	! Define simple boxcar window for primary weights
[12489]	840	! (width = nn_e, centered around jic)
[4292]	841	SELECT CASE ( nn_bt_flt )
	842	CASE( 0 ) ! No averaging
	843	zwgt1(jic) = 1._wp
	844	jpit = jic
	845
[12489]	846	CASE( 1 ) ! Boxcar, width = nn_e
	847	DO jn = 1, 3*nn_e
	848	za1 = ABS(float(jn-jic))/float(nn_e)
[4292]	849	IF (za1 < 0.5_wp) THEN
	850	zwgt1(jn) = 1._wp
	851	jpit = jn
	852	ENDIF
	853	ENDDO
	854
[12489]	855	CASE( 2 ) ! Boxcar, width = 2 * nn_e
	856	DO jn = 1, 3*nn_e
	857	za1 = ABS(float(jn-jic))/float(nn_e)
[4292]	858	IF (za1 < 1._wp) THEN
	859	zwgt1(jn) = 1._wp
	860	jpit = jn
	861	ENDIF
	862	ENDDO
	863	CASE DEFAULT ; CALL ctl_stop( 'unrecognised value for nn_bt_flt' )
	864	END SELECT
	865
	866	ELSE ! No time averaging
	867	zwgt1(jic) = 1._wp
	868	jpit = jic
	869	ENDIF
	870
	871	! Set secondary weights
	872	DO jn = 1, jpit
	873	DO ji = jn, jpit
	874	zwgt2(jn) = zwgt2(jn) + zwgt1(ji)
	875	END DO
	876	END DO
	877
	878	! Normalize weigths:
	879	za1 = 1._wp / SUM(zwgt1(1:jpit))
	880	za2 = 1._wp / SUM(zwgt2(1:jpit))
	881	DO jn = 1, jpit
	882	zwgt1(jn) = zwgt1(jn) * za1
	883	zwgt2(jn) = zwgt2(jn) * za2
	884	END DO
	885	!
	886	END SUBROUTINE ts_wgt
	887
[6140]	888
[508]	889	SUBROUTINE ts_rst( kt, cdrw )
	890	!!---------------------------------------------------------------------
	891	!! * ROUTINE ts_rst *
	892	!!
	893	!! ** Purpose : Read or write time-splitting arrays in restart file
	894	!!----------------------------------------------------------------------
[9528]	895	INTEGER , INTENT(in) :: kt ! ocean time-step
	896	CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag
[508]	897	!!----------------------------------------------------------------------
	898	!
[9506]	899	IF( TRIM(cdrw) == 'READ' ) THEN ! Read/initialise
	900	! ! ---------------
[12969]	901	IF( lroxios ) CALL iom_swap( TRIM(crxios_context) )
[12489]	902	IF( ln_rstart .AND. ln_bt_fw .AND. (.NOT.l_1st_euler) ) THEN !* Read the restart file
[13751]	903	CALL iom_get( numror, jpdom_auto, 'ub2_b' , ub2_b (:,:), cd_type = 'U', psgn = -1._wp, ldxios = lroxios )
	904	CALL iom_get( numror, jpdom_auto, 'vb2_b' , vb2_b (:,:), cd_type = 'V', psgn = -1._wp, ldxios = lroxios )
	905	CALL iom_get( numror, jpdom_auto, 'un_bf' , un_bf (:,:), cd_type = 'U', psgn = -1._wp, ldxios = lroxios )
	906	CALL iom_get( numror, jpdom_auto, 'vn_bf' , vn_bf (:,:), cd_type = 'V', psgn = -1._wp, ldxios = lroxios )
[9506]	907	IF( .NOT.ln_bt_av ) THEN
[13751]	908	CALL iom_get( numror, jpdom_auto, 'sshbb_e' , sshbb_e(:,:), cd_type = 'T', psgn = 1._wp, ldxios = lroxios )
	909	CALL iom_get( numror, jpdom_auto, 'ubb_e' , ubb_e(:,:), cd_type = 'U', psgn = -1._wp, ldxios = lroxios )
	910	CALL iom_get( numror, jpdom_auto, 'vbb_e' , vbb_e(:,:), cd_type = 'V', psgn = -1._wp, ldxios = lroxios )
	911	CALL iom_get( numror, jpdom_auto, 'sshb_e' , sshb_e(:,:), cd_type = 'T', psgn = 1._wp, ldxios = lroxios )
	912	CALL iom_get( numror, jpdom_auto, 'ub_e' , ub_e(:,:), cd_type = 'U', psgn = -1._wp, ldxios = lroxios )
	913	CALL iom_get( numror, jpdom_auto, 'vb_e' , vb_e(:,:), cd_type = 'V', psgn = -1._wp, ldxios = lroxios )
[9506]	914	ENDIF
[4486]	915	#if defined key_agrif
[9506]	916	! Read time integrated fluxes
	917	IF ( .NOT.Agrif_Root() ) THEN
[13751]	918	CALL iom_get( numror, jpdom_auto, 'ub2_i_b' , ub2_i_b(:,:), cd_type = 'U', psgn = -1._wp, ldxios = lroxios )
	919	CALL iom_get( numror, jpdom_auto, 'vb2_i_b' , vb2_i_b(:,:), cd_type = 'V', psgn = -1._wp, ldxios = lroxios )
	920	ELSE
	921	ub2_i_b(:,:) = 0._wp ; vb2_i_b(:,:) = 0._wp ! used in the 1st update of agrif
[9506]	922	ENDIF
	923	#endif
	924	ELSE !* Start from rest
	925	IF(lwp) WRITE(numout,*)
	926	IF(lwp) WRITE(numout,*) ' ==>>> start from rest: set barotropic values to 0'
[13751]	927	ub2_b (:,:) = 0._wp ; vb2_b (:,:) = 0._wp ! used in the 1st interpol of agrif
	928	un_adv (:,:) = 0._wp ; vn_adv (:,:) = 0._wp ! used in the 1st interpol of agrif
	929	un_bf (:,:) = 0._wp ; vn_bf (:,:) = 0._wp ! used in the 1st update of agrif
[9506]	930	#if defined key_agrif
[13751]	931	ub2_i_b(:,:) = 0._wp ; vb2_i_b(:,:) = 0._wp ! used in the 1st update of agrif
[9506]	932	#endif
[4486]	933	ENDIF
[12969]	934	IF( lroxios ) CALL iom_swap( TRIM(cxios_context) )
[9506]	935	!
	936	ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN ! Create restart file
	937	! ! -------------------
	938	IF(lwp) WRITE(numout,*) '---- ts_rst ----'
[9367]	939	IF( lwxios ) CALL iom_swap( cwxios_context )
	940	CALL iom_rstput( kt, nitrst, numrow, 'ub2_b' , ub2_b (:,:), ldxios = lwxios )
	941	CALL iom_rstput( kt, nitrst, numrow, 'vb2_b' , vb2_b (:,:), ldxios = lwxios )
	942	CALL iom_rstput( kt, nitrst, numrow, 'un_bf' , un_bf (:,:), ldxios = lwxios )
	943	CALL iom_rstput( kt, nitrst, numrow, 'vn_bf' , vn_bf (:,:), ldxios = lwxios )
[4292]	944	!
	945	IF (.NOT.ln_bt_av) THEN
[9367]	946	CALL iom_rstput( kt, nitrst, numrow, 'sshbb_e' , sshbb_e(:,:), ldxios = lwxios )
	947	CALL iom_rstput( kt, nitrst, numrow, 'ubb_e' , ubb_e(:,:), ldxios = lwxios )
	948	CALL iom_rstput( kt, nitrst, numrow, 'vbb_e' , vbb_e(:,:), ldxios = lwxios )
	949	CALL iom_rstput( kt, nitrst, numrow, 'sshb_e' , sshb_e(:,:), ldxios = lwxios )
	950	CALL iom_rstput( kt, nitrst, numrow, 'ub_e' , ub_e(:,:), ldxios = lwxios )
	951	CALL iom_rstput( kt, nitrst, numrow, 'vb_e' , vb_e(:,:), ldxios = lwxios )
[4292]	952	ENDIF
[4486]	953	#if defined key_agrif
	954	! Save time integrated fluxes
	955	IF ( .NOT.Agrif_Root() ) THEN
[9367]	956	CALL iom_rstput( kt, nitrst, numrow, 'ub2_i_b' , ub2_i_b(:,:), ldxios = lwxios )
	957	CALL iom_rstput( kt, nitrst, numrow, 'vb2_i_b' , vb2_i_b(:,:), ldxios = lwxios )
[4486]	958	ENDIF
	959	#endif
[9367]	960	IF( lwxios ) CALL iom_swap( cxios_context )
[4292]	961	ENDIF
	962	!
	963	END SUBROUTINE ts_rst
[2528]	964
[6140]	965
	966	SUBROUTINE dyn_spg_ts_init
[4292]	967	!!---------------------------------------------------------------------
	968	!! * ROUTINE dyn_spg_ts_init *
	969	!!
	970	!! ** Purpose : Set time splitting options
	971	!!----------------------------------------------------------------------
[6140]	972	INTEGER :: ji ,jj ! dummy loop indices
	973	REAL(wp) :: zxr2, zyr2, zcmax ! local scalar
[9019]	974	REAL(wp), DIMENSION(jpi,jpj) :: zcu
[4292]	975	!!----------------------------------------------------------------------
[4370]	976	!
[5930]	977	! Max courant number for ext. grav. waves
[4370]	978	!
[13751]	979	DO_2D( 0, 0, 0, 0 )
[12377]	980	zxr2 = r1_e1t(ji,jj) * r1_e1t(ji,jj)
	981	zyr2 = r1_e2t(ji,jj) * r1_e2t(ji,jj)
	982	zcu(ji,jj) = SQRT( grav * MAX(ht_0(ji,jj),0._wp) * (zxr2 + zyr2) )
	983	END_2D
[5930]	984	!
[13751]	985	zcmax = MAXVAL( zcu(Nis0:Nie0,Njs0:Nje0) )
[10425]	986	CALL mpp_max( 'dynspg_ts', zcmax )
[2528]	987
[4370]	988	! Estimate number of iterations to satisfy a max courant number= rn_bt_cmax
[12489]	989	IF( ln_bt_auto ) nn_e = CEILING( rn_Dt / rn_bt_cmax * zcmax)
[4292]	990
[12489]	991	rDt_e = rn_Dt / REAL( nn_e , wp )
	992	zcmax = zcmax * rDt_e
[9023]	993	! Print results
[4292]	994	IF(lwp) WRITE(numout,*)
[9169]	995	IF(lwp) WRITE(numout,*) 'dyn_spg_ts_init : split-explicit free surface'
	996	IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~'
[5930]	997	IF( ln_bt_auto ) THEN
[12489]	998	IF(lwp) WRITE(numout,*) ' ln_ts_auto =.true. Automatically set nn_e '
[4370]	999	IF(lwp) WRITE(numout,*) ' Max. courant number allowed: ', rn_bt_cmax
[4292]	1000	ELSE
[12489]	1001	IF(lwp) WRITE(numout,*) ' ln_ts_auto=.false.: Use nn_e in namelist nn_e = ', nn_e
[358]	1002	ENDIF
[4292]	1003
	1004	IF(ln_bt_av) THEN
[12489]	1005	IF(lwp) WRITE(numout,*) ' ln_bt_av =.true. ==> Time averaging over nn_e time steps is on '
[4292]	1006	ELSE
[9169]	1007	IF(lwp) WRITE(numout,*) ' ln_bt_av =.false. => No time averaging of barotropic variables '
[4292]	1008	ENDIF
[508]	1009	!
[4292]	1010	!
	1011	IF(ln_bt_fw) THEN
[4370]	1012	IF(lwp) WRITE(numout,*) ' ln_bt_fw=.true. => Forward integration of barotropic variables '
[4292]	1013	ELSE
[4370]	1014	IF(lwp) WRITE(numout,*) ' ln_bt_fw =.false.=> Centred integration of barotropic variables '
[4292]	1015	ENDIF
	1016	!
[4486]	1017	#if defined key_agrif
	1018	! Restrict the use of Agrif to the forward case only
[9023]	1019	!!! IF( .NOT.ln_bt_fw .AND. .NOT.Agrif_Root() ) CALL ctl_stop( 'AGRIF not implemented if ln_bt_fw=.FALSE.' )
[4486]	1020	#endif
	1021	!
[4370]	1022	IF(lwp) WRITE(numout,*) ' Time filter choice, nn_bt_flt: ', nn_bt_flt
[4292]	1023	SELECT CASE ( nn_bt_flt )
[6140]	1024	CASE( 0 ) ; IF(lwp) WRITE(numout,*) ' Dirac'
[12489]	1025	CASE( 1 ) ; IF(lwp) WRITE(numout,*) ' Boxcar: width = nn_e'
	1026	CASE( 2 ) ; IF(lwp) WRITE(numout,) ' Boxcar: width = 2nn_e'
[9169]	1027	CASE DEFAULT ; CALL ctl_stop( 'unrecognised value for nn_bt_flt: should 0,1, or 2' )
[4292]	1028	END SELECT
	1029	!
[4370]	1030	IF(lwp) WRITE(numout,*) ' '
[12489]	1031	IF(lwp) WRITE(numout,*) ' nn_e = ', nn_e
	1032	IF(lwp) WRITE(numout,*) ' Barotropic time step [s] is :', rDt_e
[4370]	1033	IF(lwp) WRITE(numout,*) ' Maximum Courant number is :', zcmax
	1034	!
[9023]	1035	IF(lwp) WRITE(numout,*) ' Time diffusion parameter rn_bt_alpha: ', rn_bt_alpha
	1036	IF ((ln_bt_av.AND.nn_bt_flt/=0).AND.(rn_bt_alpha>0._wp)) THEN
	1037	CALL ctl_stop( 'dynspg_ts ERROR: if rn_bt_alpha > 0, remove temporal averaging' )
	1038	ENDIF
	1039	!
[6140]	1040	IF( .NOT.ln_bt_av .AND. .NOT.ln_bt_fw ) THEN
[4292]	1041	CALL ctl_stop( 'dynspg_ts ERROR: No time averaging => only forward integration is possible' )
	1042	ENDIF
[6140]	1043	IF( zcmax>0.9_wp ) THEN
[12489]	1044	CALL ctl_stop( 'dynspg_ts ERROR: Maximum Courant number is greater than 0.9: Inc. nn_e !' )
[4292]	1045	ENDIF
	1046	!
[9124]	1047	! ! Allocate time-splitting arrays
	1048	IF( dyn_spg_ts_alloc() /= 0 ) CALL ctl_stop('STOP', 'dyn_spg_init: failed to allocate dynspg_ts arrays' )
	1049	!
	1050	! ! read restart when needed
[9506]	1051	CALL ts_rst( nit000, 'READ' )
[9124]	1052	!
[4292]	1053	END SUBROUTINE dyn_spg_ts_init
[508]	1054
[11536]	1055
[12377]	1056	SUBROUTINE dyn_cor_2D_init( Kmm )
[11536]	1057	!!---------------------------------------------------------------------
[12377]	1058	!! * ROUTINE dyn_cor_2D_init *
[11536]	1059	!!
	1060	!! ** Purpose : Set time splitting options
	1061	!! Set arrays to remove/compute coriolis trend.
	1062	!! Do it once during initialization if volume is fixed, else at each long time step.
	1063	!! Note that these arrays are also used during barotropic loop. These are however frozen
	1064	!! although they should be updated in the variable volume case. Not a big approximation.
	1065	!! To remove this approximation, copy lines below inside barotropic loop
	1066	!! and update depths at T-F points (ht and zhf resp.) at each barotropic time step
	1067	!!
	1068	!! Compute zwz = f / ( height of the water colomn )
	1069	!!----------------------------------------------------------------------
[12377]	1070	INTEGER, INTENT(in) :: Kmm ! Time index
[11536]	1071	INTEGER :: ji ,jj, jk ! dummy loop indices
	1072	REAL(wp) :: z1_ht
	1073	REAL(wp), DIMENSION(jpi,jpj) :: zhf
	1074	!!----------------------------------------------------------------------
	1075	!
	1076	SELECT CASE( nvor_scheme )
[13751]	1077	CASE( np_EEN ) != EEN scheme using e3f energy & enstrophy scheme
[11536]	1078	SELECT CASE( nn_een_e3f ) !* ff_f/e3 at F-point
	1079	CASE ( 0 ) ! original formulation (masked averaging of e3t divided by 4)
[13751]	1080	DO_2D( 1, 0, 1, 0 )
[12377]	1081	zwz(ji,jj) = ( ht(ji ,jj+1) + ht(ji+1,jj+1) + &
	1082	& ht(ji ,jj ) + ht(ji+1,jj ) ) * 0.25_wp
	1083	IF( zwz(ji,jj) /= 0._wp ) zwz(ji,jj) = ff_f(ji,jj) / zwz(ji,jj)
	1084	END_2D
[11536]	1085	CASE ( 1 ) ! new formulation (masked averaging of e3t divided by the sum of mask)
[13751]	1086	DO_2D( 1, 0, 1, 0 )
[12377]	1087	zwz(ji,jj) = ( ht (ji ,jj+1) + ht (ji+1,jj+1) &
	1088	& + ht (ji ,jj ) + ht (ji+1,jj ) ) &
	1089	& / ( MAX( 1._wp, ssmask(ji ,jj+1) + ssmask(ji+1,jj+1) &
	1090	& + ssmask(ji ,jj ) + ssmask(ji+1,jj ) ) )
	1091	IF( zwz(ji,jj) /= 0._wp ) zwz(ji,jj) = ff_f(ji,jj) / zwz(ji,jj)
	1092	END_2D
[11536]	1093	END SELECT
	1094	CALL lbc_lnk( 'dynspg_ts', zwz, 'F', 1._wp )
	1095	!
	1096	ftne(1,:) = 0._wp ; ftnw(1,:) = 0._wp ; ftse(1,:) = 0._wp ; ftsw(1,:) = 0._wp
[13751]	1097	DO_2D( 0, 1, 0, 1 )
[12377]	1098	ftne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1)
	1099	ftnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj )
	1100	ftse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1)
	1101	ftsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj )
	1102	END_2D
[11536]	1103	!
[13751]	1104	CASE( np_EET ) != EEN scheme using e3t energy conserving scheme
[11536]	1105	ftne(1,:) = 0._wp ; ftnw(1,:) = 0._wp ; ftse(1,:) = 0._wp ; ftsw(1,:) = 0._wp
[13751]	1106	DO_2D( 0, 1, 0, 1 )
[12377]	1107	z1_ht = ssmask(ji,jj) / ( ht(ji,jj) + 1._wp - ssmask(ji,jj) )
	1108	ftne(ji,jj) = ( ff_f(ji-1,jj ) + ff_f(ji ,jj ) + ff_f(ji ,jj-1) ) * z1_ht
	1109	ftnw(ji,jj) = ( ff_f(ji-1,jj-1) + ff_f(ji-1,jj ) + ff_f(ji ,jj ) ) * z1_ht
	1110	ftse(ji,jj) = ( ff_f(ji ,jj ) + ff_f(ji ,jj-1) + ff_f(ji-1,jj-1) ) * z1_ht
	1111	ftsw(ji,jj) = ( ff_f(ji ,jj-1) + ff_f(ji-1,jj-1) + ff_f(ji-1,jj ) ) * z1_ht
	1112	END_2D
[11536]	1113	!
	1114	CASE( np_ENE, np_ENS , np_MIX ) != all other schemes (ENE, ENS, MIX) except ENT !
	1115	!
	1116	zwz(:,:) = 0._wp
	1117	zhf(:,:) = 0._wp
	1118
	1119	!!gm assume 0 in both cases (which is almost surely WRONG ! ) as hvatf has been removed
	1120	!!gm A priori a better value should be something like :
	1121	!!gm zhf(i,j) = masked sum of ht(i,j) , ht(i+1,j) , ht(i,j+1) , (i+1,j+1)
	1122	!!gm divided by the sum of the corresponding mask
	1123	!!gm
	1124	!!
	1125	IF( .NOT.ln_sco ) THEN
	1126
	1127	!!gm agree the JC comment : this should be done in a much clear way
	1128
	1129	! JC: It not clear yet what should be the depth at f-points over land in z-coordinate case
	1130	! Set it to zero for the time being
	1131	! IF( rn_hmin < 0._wp ) THEN ; jk = - INT( rn_hmin ) ! from a nb of level
	1132	! ELSE ; jk = MINLOC( gdepw_0, mask = gdepw_0 > rn_hmin, dim = 1 ) ! from a depth
	1133	! ENDIF
	1134	! zhf(:,:) = gdepw_0(:,:,jk+1)
	1135	!
	1136	ELSE
	1137	!
	1138	!zhf(:,:) = hbatf(:,:)
[13751]	1139	DO_2D( 1, 0, 1, 0 )
[12377]	1140	zhf(ji,jj) = ( ht_0 (ji,jj ) + ht_0 (ji+1,jj ) &
	1141	& + ht_0 (ji,jj+1) + ht_0 (ji+1,jj+1) ) &
	1142	& / MAX( ssmask(ji,jj ) + ssmask(ji+1,jj ) &
	1143	& + ssmask(ji,jj+1) + ssmask(ji+1,jj+1) , 1._wp )
	1144	END_2D
[11536]	1145	ENDIF
	1146	!
	1147	DO jj = 1, jpjm1
	1148	zhf(:,jj) = zhf(:,jj) * (1._wp- umask(:,jj,1) * umask(:,jj+1,1))
	1149	END DO
	1150	!
	1151	DO jk = 1, jpkm1
	1152	DO jj = 1, jpjm1
[12377]	1153	zhf(:,jj) = zhf(:,jj) + e3f(:,jj,jk) * umask(:,jj,jk) * umask(:,jj+1,jk)
[11536]	1154	END DO
	1155	END DO
	1156	CALL lbc_lnk( 'dynspg_ts', zhf, 'F', 1._wp )
	1157	! JC: TBC. hf should be greater than 0
[13751]	1158	DO_2D( 1, 1, 1, 1 )
[12377]	1159	IF( zhf(ji,jj) /= 0._wp ) zwz(ji,jj) = 1._wp / zhf(ji,jj)
	1160	END_2D
[11536]	1161	zwz(:,:) = ff_f(:,:) * zwz(:,:)
	1162	END SELECT
	1163
	1164	END SUBROUTINE dyn_cor_2d_init
	1165
	1166
	1167
[13751]	1168	SUBROUTINE dyn_cor_2d( pht, phu, phv, punb, pvnb, zhU, zhV, zu_trd, zv_trd )
[11536]	1169	!!---------------------------------------------------------------------
	1170	!! * ROUTINE dyn_cor_2d *
	1171	!!
	1172	!! ** Purpose : Compute u and v coriolis trends
	1173	!!----------------------------------------------------------------------
	1174	INTEGER :: ji ,jj ! dummy loop indices
	1175	REAL(wp) :: zx1, zx2, zy1, zy2, z1_hu, z1_hv ! - -
[13751]	1176	REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pht, phu, phv, punb, pvnb, zhU, zhV
[11536]	1177	REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: zu_trd, zv_trd
	1178	!!----------------------------------------------------------------------
	1179	SELECT CASE( nvor_scheme )
	1180	CASE( np_ENT ) ! enstrophy conserving scheme (f-point)
[13751]	1181	DO_2D( 0, 0, 0, 0 )
[12377]	1182	z1_hu = ssumask(ji,jj) / ( phu(ji,jj) + 1._wp - ssumask(ji,jj) )
	1183	z1_hv = ssvmask(ji,jj) / ( phv(ji,jj) + 1._wp - ssvmask(ji,jj) )
	1184	zu_trd(ji,jj) = + r1_4 * r1_e1e2u(ji,jj) * z1_hu &
[13751]	1185	& * ( e1e2t(ji+1,jj)pht(ji+1,jj)ff_t(ji+1,jj) * ( pvnb(ji+1,jj) + pvnb(ji+1,jj-1) ) &
	1186	& + e1e2t(ji ,jj)pht(ji ,jj)ff_t(ji ,jj) * ( pvnb(ji ,jj) + pvnb(ji ,jj-1) ) )
[12377]	1187	!
	1188	zv_trd(ji,jj) = - r1_4 * r1_e1e2v(ji,jj) * z1_hv &
[13751]	1189	& * ( e1e2t(ji,jj+1)pht(ji,jj+1)ff_t(ji,jj+1) * ( punb(ji,jj+1) + punb(ji-1,jj+1) ) &
	1190	& + e1e2t(ji,jj )pht(ji,jj )ff_t(ji,jj ) * ( punb(ji,jj ) + punb(ji-1,jj ) ) )
[12377]	1191	END_2D
[11536]	1192	!
	1193	CASE( np_ENE , np_MIX ) ! energy conserving scheme (t-point) ENE or MIX
[13751]	1194	DO_2D( 0, 0, 0, 0 )
[12377]	1195	zy1 = ( zhV(ji,jj-1) + zhV(ji+1,jj-1) ) * r1_e1u(ji,jj)
	1196	zy2 = ( zhV(ji,jj ) + zhV(ji+1,jj ) ) * r1_e1u(ji,jj)
	1197	zx1 = ( zhU(ji-1,jj) + zhU(ji-1,jj+1) ) * r1_e2v(ji,jj)
	1198	zx2 = ( zhU(ji ,jj) + zhU(ji ,jj+1) ) * r1_e2v(ji,jj)
	1199	! energy conserving formulation for planetary vorticity term
	1200	zu_trd(ji,jj) = r1_4 * ( zwz(ji ,jj-1) * zy1 + zwz(ji,jj) * zy2 )
	1201	zv_trd(ji,jj) = - r1_4 * ( zwz(ji-1,jj ) * zx1 + zwz(ji,jj) * zx2 )
	1202	END_2D
[11536]	1203	!
	1204	CASE( np_ENS ) ! enstrophy conserving scheme (f-point)
[13751]	1205	DO_2D( 0, 0, 0, 0 )
[12377]	1206	zy1 = r1_8 * ( zhV(ji ,jj-1) + zhV(ji+1,jj-1) &
	1207	& + zhV(ji ,jj ) + zhV(ji+1,jj ) ) * r1_e1u(ji,jj)
	1208	zx1 = - r1_8 * ( zhU(ji-1,jj ) + zhU(ji-1,jj+1) &
	1209	& + zhU(ji ,jj ) + zhU(ji ,jj+1) ) * r1_e2v(ji,jj)
	1210	zu_trd(ji,jj) = zy1 * ( zwz(ji ,jj-1) + zwz(ji,jj) )
	1211	zv_trd(ji,jj) = zx1 * ( zwz(ji-1,jj ) + zwz(ji,jj) )
	1212	END_2D
[11536]	1213	!
	1214	CASE( np_EET , np_EEN ) ! energy & enstrophy scheme (using e3t or e3f)
[13751]	1215	DO_2D( 0, 0, 0, 0 )
[12377]	1216	zu_trd(ji,jj) = + r1_12 * r1_e1u(ji,jj) * ( ftne(ji,jj ) * zhV(ji ,jj ) &
	1217	& + ftnw(ji+1,jj) * zhV(ji+1,jj ) &
	1218	& + ftse(ji,jj ) * zhV(ji ,jj-1) &
	1219	& + ftsw(ji+1,jj) * zhV(ji+1,jj-1) )
	1220	zv_trd(ji,jj) = - r1_12 * r1_e2v(ji,jj) * ( ftsw(ji,jj+1) * zhU(ji-1,jj+1) &
	1221	& + ftse(ji,jj+1) * zhU(ji ,jj+1) &
	1222	& + ftnw(ji,jj ) * zhU(ji-1,jj ) &
	1223	& + ftne(ji,jj ) * zhU(ji ,jj ) )
	1224	END_2D
[11536]	1225	!
	1226	END SELECT
	1227	!
	1228	END SUBROUTINE dyn_cor_2D
	1229
	1230
	1231	SUBROUTINE wad_tmsk( pssh, ptmsk )
	1232	!!----------------------------------------------------------------------
	1233	!! * ROUTINE wad_lmt *
	1234	!!
	1235	!! ** Purpose : set wetting & drying mask at tracer points
	1236	!! for the current barotropic sub-step
	1237	!!
	1238	!! ** Method : ???
	1239	!!
	1240	!! ** Action : ptmsk : wetting & drying t-mask
	1241	!!----------------------------------------------------------------------
	1242	REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pssh !
	1243	REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: ptmsk !
	1244	!
	1245	INTEGER :: ji, jj ! dummy loop indices
	1246	!!----------------------------------------------------------------------
	1247	!
	1248	IF( ln_wd_dl_rmp ) THEN
[13751]	1249	DO_2D( 1, 1, 1, 1 )
[12377]	1250	IF ( pssh(ji,jj) + ht_0(ji,jj) > 2._wp * rn_wdmin1 ) THEN
	1251	! IF ( pssh(ji,jj) + ht_0(ji,jj) > rn_wdmin2 ) THEN
	1252	ptmsk(ji,jj) = 1._wp
	1253	ELSEIF( pssh(ji,jj) + ht_0(ji,jj) > rn_wdmin1 ) THEN
	1254	ptmsk(ji,jj) = TANH( 50._wp( ( pssh(ji,jj) + ht_0(ji,jj) - rn_wdmin1 )r_rn_wdmin1) )
	1255	ELSE
	1256	ptmsk(ji,jj) = 0._wp
	1257	ENDIF
	1258	END_2D
[11536]	1259	ELSE
[13751]	1260	DO_2D( 1, 1, 1, 1 )
[12377]	1261	IF ( pssh(ji,jj) + ht_0(ji,jj) > rn_wdmin1 ) THEN ; ptmsk(ji,jj) = 1._wp
	1262	ELSE ; ptmsk(ji,jj) = 0._wp
	1263	ENDIF
	1264	END_2D
[11536]	1265	ENDIF
	1266	!
	1267	END SUBROUTINE wad_tmsk
	1268
	1269
	1270	SUBROUTINE wad_Umsk( pTmsk, phU, phV, pu, pv, pUmsk, pVmsk )
	1271	!!----------------------------------------------------------------------
	1272	!! * ROUTINE wad_lmt *
	1273	!!
	1274	!! ** Purpose : set wetting & drying mask at tracer points
	1275	!! for the current barotropic sub-step
	1276	!!
	1277	!! ** Method : ???
	1278	!!
	1279	!! ** Action : ptmsk : wetting & drying t-mask
	1280	!!----------------------------------------------------------------------
	1281	REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pTmsk ! W & D t-mask
	1282	REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: phU, phV, pu, pv ! ocean velocities and transports
	1283	REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: pUmsk, pVmsk ! W & D u- and v-mask
	1284	!
	1285	INTEGER :: ji, jj ! dummy loop indices
	1286	!!----------------------------------------------------------------------
	1287	!
[13751]	1288	DO_2D( 1, 1, 1, 0 ) ! not jpi-column
[12377]	1289	IF ( phU(ji,jj) > 0._wp ) THEN ; pUmsk(ji,jj) = pTmsk(ji ,jj)
	1290	ELSE ; pUmsk(ji,jj) = pTmsk(ji+1,jj)
	1291	ENDIF
	1292	phU(ji,jj) = pUmsk(ji,jj)*phU(ji,jj)
	1293	pu (ji,jj) = pUmsk(ji,jj)*pu (ji,jj)
	1294	END_2D
[11536]	1295	!
[13751]	1296	DO_2D( 1, 0, 1, 1 ) ! not jpj-row
[12377]	1297	IF ( phV(ji,jj) > 0._wp ) THEN ; pVmsk(ji,jj) = pTmsk(ji,jj )
	1298	ELSE ; pVmsk(ji,jj) = pTmsk(ji,jj+1)
	1299	ENDIF
	1300	phV(ji,jj) = pVmsk(ji,jj)*phV(ji,jj)
	1301	pv (ji,jj) = pVmsk(ji,jj)*pv (ji,jj)
	1302	END_2D
[11536]	1303	!
	1304	END SUBROUTINE wad_Umsk
	1305
	1306
[12377]	1307	SUBROUTINE wad_spg( pshn, zcpx, zcpy )
[11536]	1308	!!---------------------------------------------------------------------
	1309	!! * ROUTINE wad_sp *
	1310	!!
	1311	!! ** Purpose :
	1312	!!----------------------------------------------------------------------
	1313	INTEGER :: ji ,jj ! dummy loop indices
	1314	LOGICAL :: ll_tmp1, ll_tmp2
[12377]	1315	REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pshn
[11536]	1316	REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: zcpx, zcpy
	1317	!!----------------------------------------------------------------------
[13751]	1318	DO_2D( 0, 0, 0, 0 )
[12377]	1319	ll_tmp1 = MIN( pshn(ji,jj) , pshn(ji+1,jj) ) > &
	1320	& MAX( -ht_0(ji,jj) , -ht_0(ji+1,jj) ) .AND. &
	1321	& MAX( pshn(ji,jj) + ht_0(ji,jj) , pshn(ji+1,jj) + ht_0(ji+1,jj) ) &
	1322	& > rn_wdmin1 + rn_wdmin2
	1323	ll_tmp2 = ( ABS( pshn(ji+1,jj) - pshn(ji ,jj)) > 1.E-12 ).AND.( &
	1324	& MAX( pshn(ji,jj) , pshn(ji+1,jj) ) > &
	1325	& MAX( -ht_0(ji,jj) , -ht_0(ji+1,jj) ) + rn_wdmin1 + rn_wdmin2 )
	1326	IF(ll_tmp1) THEN
	1327	zcpx(ji,jj) = 1.0_wp
	1328	ELSEIF(ll_tmp2) THEN
	1329	! no worries about pshn(ji+1,jj) - pshn(ji ,jj) = 0, it won't happen ! here
	1330	zcpx(ji,jj) = ABS( (pshn(ji+1,jj) + ht_0(ji+1,jj) - pshn(ji,jj) - ht_0(ji,jj)) &
	1331	& / (pshn(ji+1,jj) - pshn(ji ,jj)) )
	1332	zcpx(ji,jj) = max(min( zcpx(ji,jj) , 1.0_wp),0.0_wp)
	1333	ELSE
	1334	zcpx(ji,jj) = 0._wp
	1335	ENDIF
	1336	!
	1337	ll_tmp1 = MIN( pshn(ji,jj) , pshn(ji,jj+1) ) > &
	1338	& MAX( -ht_0(ji,jj) , -ht_0(ji,jj+1) ) .AND. &
	1339	& MAX( pshn(ji,jj) + ht_0(ji,jj) , pshn(ji,jj+1) + ht_0(ji,jj+1) ) &
	1340	& > rn_wdmin1 + rn_wdmin2
	1341	ll_tmp2 = ( ABS( pshn(ji,jj) - pshn(ji,jj+1)) > 1.E-12 ).AND.( &
	1342	& MAX( pshn(ji,jj) , pshn(ji,jj+1) ) > &
	1343	& MAX( -ht_0(ji,jj) , -ht_0(ji,jj+1) ) + rn_wdmin1 + rn_wdmin2 )
	1344
	1345	IF(ll_tmp1) THEN
	1346	zcpy(ji,jj) = 1.0_wp
	1347	ELSE IF(ll_tmp2) THEN
	1348	! no worries about pshn(ji,jj+1) - pshn(ji,jj ) = 0, it won't happen ! here
	1349	zcpy(ji,jj) = ABS( (pshn(ji,jj+1) + ht_0(ji,jj+1) - pshn(ji,jj) - ht_0(ji,jj)) &
	1350	& / (pshn(ji,jj+1) - pshn(ji,jj )) )
	1351	zcpy(ji,jj) = MAX( 0._wp , MIN( zcpy(ji,jj) , 1.0_wp ) )
	1352	ELSE
	1353	zcpy(ji,jj) = 0._wp
	1354	ENDIF
	1355	END_2D
[11536]	1356
	1357	END SUBROUTINE wad_spg
	1358
	1359
	1360
[12377]	1361	SUBROUTINE dyn_drg_init( Kbb, Kmm, puu, pvv, puu_b ,pvv_b, pu_RHSi, pv_RHSi, pCdU_u, pCdU_v )
[11536]	1362	!!----------------------------------------------------------------------
	1363	!! * ROUTINE dyn_drg_init *
	1364	!!
	1365	!! ** Purpose : - add the baroclinic top/bottom drag contribution to
	1366	!! the baroclinic part of the barotropic RHS
	1367	!! - compute the barotropic drag coefficients
	1368	!!
	1369	!! ** Method : computation done over the INNER domain only
	1370	!!----------------------------------------------------------------------
[12377]	1371	INTEGER , INTENT(in ) :: Kbb, Kmm ! ocean time level indices
	1372	REAL(wp), DIMENSION(jpi,jpj,jpk,jpt), INTENT(in ) :: puu, pvv ! ocean velocities and RHS of momentum equation
	1373	REAL(wp), DIMENSION(jpi,jpj,jpt) , INTENT(in ) :: puu_b, pvv_b ! barotropic velocities at main time levels
	1374	REAL(wp), DIMENSION(jpi,jpj) , INTENT(inout) :: pu_RHSi, pv_RHSi ! baroclinic part of the barotropic RHS
	1375	REAL(wp), DIMENSION(jpi,jpj) , INTENT( out) :: pCdU_u , pCdU_v ! barotropic drag coefficients
[11536]	1376	!
	1377	INTEGER :: ji, jj ! dummy loop indices
	1378	INTEGER :: ikbu, ikbv, iktu, iktv
	1379	REAL(wp) :: zztmp
	1380	REAL(wp), DIMENSION(jpi,jpj) :: zu_i, zv_i
	1381	!!----------------------------------------------------------------------
	1382	!
	1383	! !== Set the barotropic drag coef. ==!
	1384	!
[13751]	1385	IF( ln_isfcav.OR.ln_drgice_imp ) THEN ! top+bottom friction (ocean cavities)
[11536]	1386
[13751]	1387	DO_2D( 0, 0, 0, 0 )
[12377]	1388	pCdU_u(ji,jj) = r1_2*( rCdU_bot(ji+1,jj)+rCdU_bot(ji,jj) + rCdU_top(ji+1,jj)+rCdU_top(ji,jj) )
	1389	pCdU_v(ji,jj) = r1_2*( rCdU_bot(ji,jj+1)+rCdU_bot(ji,jj) + rCdU_top(ji,jj+1)+rCdU_top(ji,jj) )
	1390	END_2D
[11536]	1391	ELSE ! bottom friction only
[13751]	1392	DO_2D( 0, 0, 0, 0 )
[12377]	1393	pCdU_u(ji,jj) = r1_2*( rCdU_bot(ji+1,jj)+rCdU_bot(ji,jj) )
	1394	pCdU_v(ji,jj) = r1_2*( rCdU_bot(ji,jj+1)+rCdU_bot(ji,jj) )
	1395	END_2D
[11536]	1396	ENDIF
	1397	!
	1398	! !== BOTTOM stress contribution from baroclinic velocities ==!
	1399	!
	1400	IF( ln_bt_fw ) THEN ! FORWARD integration: use NOW bottom baroclinic velocities
	1401
[13751]	1402	DO_2D( 0, 0, 0, 0 )
[12377]	1403	ikbu = mbku(ji,jj)
	1404	ikbv = mbkv(ji,jj)
	1405	zu_i(ji,jj) = puu(ji,jj,ikbu,Kmm) - puu_b(ji,jj,Kmm)
	1406	zv_i(ji,jj) = pvv(ji,jj,ikbv,Kmm) - pvv_b(ji,jj,Kmm)
	1407	END_2D
[11536]	1408	ELSE ! CENTRED integration: use BEFORE bottom baroclinic velocities
	1409
[13751]	1410	DO_2D( 0, 0, 0, 0 )
[12377]	1411	ikbu = mbku(ji,jj)
	1412	ikbv = mbkv(ji,jj)
	1413	zu_i(ji,jj) = puu(ji,jj,ikbu,Kbb) - puu_b(ji,jj,Kbb)
	1414	zv_i(ji,jj) = pvv(ji,jj,ikbv,Kbb) - pvv_b(ji,jj,Kbb)
	1415	END_2D
[11536]	1416	ENDIF
	1417	!
	1418	IF( ln_wd_il ) THEN ! W/D : use the "clipped" bottom friction !!gm explain WHY, please !
[12489]	1419	zztmp = -1._wp / rDt_e
[13751]	1420	DO_2D( 0, 0, 0, 0 )
[12377]	1421	pu_RHSi(ji,jj) = pu_RHSi(ji,jj) + zu_i(ji,jj) * wdrampu(ji,jj) * MAX( &
	1422	& r1_hu(ji,jj,Kmm) * r1_2*( rCdU_bot(ji+1,jj)+rCdU_bot(ji,jj) ) , zztmp )
	1423	pv_RHSi(ji,jj) = pv_RHSi(ji,jj) + zv_i(ji,jj) * wdrampv(ji,jj) * MAX( &
	1424	& r1_hv(ji,jj,Kmm) * r1_2*( rCdU_bot(ji,jj+1)+rCdU_bot(ji,jj) ) , zztmp )
	1425	END_2D
[11536]	1426	ELSE ! use "unclipped" drag (even if explicit friction is used in 3D calculation)
	1427
[13751]	1428	DO_2D( 0, 0, 0, 0 )
[12377]	1429	pu_RHSi(ji,jj) = pu_RHSi(ji,jj) + r1_hu(ji,jj,Kmm) * r1_2( rCdU_bot(ji+1,jj)+rCdU_bot(ji,jj) ) zu_i(ji,jj)
	1430	pv_RHSi(ji,jj) = pv_RHSi(ji,jj) + r1_hv(ji,jj,Kmm) * r1_2( rCdU_bot(ji,jj+1)+rCdU_bot(ji,jj) ) zv_i(ji,jj)
	1431	END_2D
[11536]	1432	END IF
	1433	!
	1434	! !== TOP stress contribution from baroclinic velocities ==! (no W/D case)
	1435	!
[13751]	1436	IF( ln_isfcav.OR.ln_drgice_imp ) THEN
[11536]	1437	!
	1438	IF( ln_bt_fw ) THEN ! FORWARD integration: use NOW top baroclinic velocity
	1439
[13751]	1440	DO_2D( 0, 0, 0, 0 )
[12377]	1441	iktu = miku(ji,jj)
	1442	iktv = mikv(ji,jj)
	1443	zu_i(ji,jj) = puu(ji,jj,iktu,Kmm) - puu_b(ji,jj,Kmm)
	1444	zv_i(ji,jj) = pvv(ji,jj,iktv,Kmm) - pvv_b(ji,jj,Kmm)
	1445	END_2D
[11536]	1446	ELSE ! CENTRED integration: use BEFORE top baroclinic velocity
	1447
[13751]	1448	DO_2D( 0, 0, 0, 0 )
[12377]	1449	iktu = miku(ji,jj)
	1450	iktv = mikv(ji,jj)
	1451	zu_i(ji,jj) = puu(ji,jj,iktu,Kbb) - puu_b(ji,jj,Kbb)
	1452	zv_i(ji,jj) = pvv(ji,jj,iktv,Kbb) - pvv_b(ji,jj,Kbb)
	1453	END_2D
[11536]	1454	ENDIF
	1455	!
	1456	! ! use "unclipped" top drag (even if explicit friction is used in 3D calculation)
	1457
[13751]	1458	DO_2D( 0, 0, 0, 0 )
[12377]	1459	pu_RHSi(ji,jj) = pu_RHSi(ji,jj) + r1_hu(ji,jj,Kmm) * r1_2( rCdU_top(ji+1,jj)+rCdU_top(ji,jj) ) zu_i(ji,jj)
	1460	pv_RHSi(ji,jj) = pv_RHSi(ji,jj) + r1_hv(ji,jj,Kmm) * r1_2( rCdU_top(ji,jj+1)+rCdU_top(ji,jj) ) zv_i(ji,jj)
	1461	END_2D
[11536]	1462	!
	1463	ENDIF
	1464	!
	1465	END SUBROUTINE dyn_drg_init
	1466
	1467	SUBROUTINE ts_bck_interp( jn, ll_init, & ! <== in
	1468	& za0, za1, za2, za3 ) ! ==> out
	1469	!!----------------------------------------------------------------------
	1470	INTEGER ,INTENT(in ) :: jn ! index of sub time step
	1471	LOGICAL ,INTENT(in ) :: ll_init !
	1472	REAL(wp),INTENT( out) :: za0, za1, za2, za3 ! Half-step back interpolation coefficient
	1473	!
	1474	REAL(wp) :: zepsilon, zgamma ! - -
	1475	!!----------------------------------------------------------------------
	1476	! ! set Half-step back interpolation coefficient
	1477	IF ( jn==1 .AND. ll_init ) THEN !* Forward-backward
	1478	za0 = 1._wp
	1479	za1 = 0._wp
	1480	za2 = 0._wp
	1481	za3 = 0._wp
	1482	ELSEIF( jn==2 .AND. ll_init ) THEN !* AB2-AM3 Coefficients; bet=0 ; gam=-1/6 ; eps=1/12
	1483	za0 = 1.0833333333333_wp ! za0 = 1-gam-eps
	1484	za1 =-0.1666666666666_wp ! za1 = gam
	1485	za2 = 0.0833333333333_wp ! za2 = eps
	1486	za3 = 0._wp
	1487	ELSE !* AB3-AM4 Coefficients; bet=0.281105 ; eps=0.013 ; gam=0.0880
	1488	IF( rn_bt_alpha == 0._wp ) THEN ! Time diffusion
	1489	za0 = 0.614_wp ! za0 = 1/2 + gam + 2*eps
	1490	za1 = 0.285_wp ! za1 = 1/2 - 2gam - 3eps
	1491	za2 = 0.088_wp ! za2 = gam
	1492	za3 = 0.013_wp ! za3 = eps
	1493	ELSE ! no time diffusion
	1494	zepsilon = 0.00976186_wp - 0.13451357_wp * rn_bt_alpha
	1495	zgamma = 0.08344500_wp - 0.51358400_wp * rn_bt_alpha
	1496	za0 = 0.5_wp + zgamma + 2._wp * rn_bt_alpha + 2._wp * zepsilon
	1497	za1 = 1._wp - za0 - zgamma - zepsilon
	1498	za2 = zgamma
	1499	za3 = zepsilon
	1500	ENDIF
	1501	ENDIF
	1502	END SUBROUTINE ts_bck_interp
	1503
	1504
[358]	1505	!!======================================================================
	1506	END MODULE dynspg_ts

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