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sbcisf.F90 in branches/2017/dev_merge_2017/NEMOGCM/NEMO/OPA_SRC/SBC – NEMO

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source: branches/2017/dev_merge_2017/NEMOGCM/NEMO/OPA_SRC/SBC/sbcisf.F90 @ 9093

Last change on this file since 9093 was 9019, checked in by timgraham, 7 years ago
Merge of dev_CNRS_2017 into branch
Property svn:keywords set to `Id`
File size: 43.8 KB

Rev	Line
[4666]	1	MODULE sbcisf
	2	!!======================================================================
	3	!! * MODULE sbcisf *
	4	!! Surface module : update surface ocean boundary condition under ice
	5	!! shelf
	6	!!======================================================================
[9019]	7	!! History : 3.2 ! 2011-02 (C.Harris ) Original code isf cav
	8	!! X.X ! 2006-02 (C. Wang ) Original code bg03
	9	!! 3.4 ! 2013-03 (P. Mathiot) Merging + parametrization
[4666]	10	!!----------------------------------------------------------------------
	11
	12	!!----------------------------------------------------------------------
[9019]	13	!! sbc_isf : update sbc under ice shelf
[4666]	14	!!----------------------------------------------------------------------
[9019]	15	USE oce ! ocean dynamics and tracers
	16	USE dom_oce ! ocean space and time domain
	17	USE phycst ! physical constants
	18	USE eosbn2 ! equation of state
	19	USE sbc_oce ! surface boundary condition: ocean fields
	20	USE zdfdrg ! vertical physics: top/bottom drag coef.
[5836]	21	!
[9019]	22	USE in_out_manager ! I/O manager
	23	USE iom ! I/O library
	24	USE fldread ! read input field at current time step
	25	USE lbclnk !
	26	USE timing ! Timing
	27	USE lib_fortran ! glob_sum
[4666]	28
	29	IMPLICIT NONE
	30	PRIVATE
	31
[7816]	32	PUBLIC sbc_isf, sbc_isf_init, sbc_isf_div, sbc_isf_alloc ! routine called in sbcmod and divhor
[4666]	33
	34	! public in order to be able to output then
	35
	36	REAL(wp), PUBLIC :: rn_hisf_tbl !: thickness of top boundary layer [m]
[6140]	37	INTEGER , PUBLIC :: nn_isf !: flag to choose between explicit/param/specified
	38	INTEGER , PUBLIC :: nn_isfblk !: flag to choose the bulk formulation to compute the ice shelf melting
	39	INTEGER , PUBLIC :: nn_gammablk !: flag to choose how the exchange coefficient is computed
	40	REAL(wp), PUBLIC :: rn_gammat0 !: temperature exchange coeficient []
	41	REAL(wp), PUBLIC :: rn_gammas0 !: salinity exchange coeficient []
[4666]	42
[9019]	43	INTEGER , PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: misfkt , misfkb !: Level of ice shelf base
	44	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: rzisf_tbl !: depth of calving front (shallowest point) nn_isf ==2/3
	45	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: rhisf_tbl, rhisf_tbl_0 !: thickness of tbl [m]
	46	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: r1_hisf_tbl !: 1/thickness of tbl
	47	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ralpha !: proportion of bottom cell influenced by tbl
	48	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: risfLeff !: effective length (Leff) BG03 nn_isf==2
	49	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ttbl, stbl, utbl, vtbl !: top boundary layer variable at T point
	50	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: qisf !: net heat flux from ice shelf [W/m2]
	51	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: risf_tsc_b, risf_tsc !: before and now T & S isf contents [K.m/s & PSU.m/s]
[4666]	52
[9019]	53	LOGICAL, PUBLIC :: l_isfcpl = .false. !: isf recieved from oasis
[7788]	54
[9019]	55	REAL(wp), PUBLIC, SAVE :: rcpi = 2000.0_wp !: specific heat of ice shelf [J/kg/K]
	56	REAL(wp), PUBLIC, SAVE :: rkappa = 1.54e-6_wp !: heat diffusivity through the ice-shelf [m2/s]
	57	REAL(wp), PUBLIC, SAVE :: rhoisf = 920.0_wp !: volumic mass of ice shelf [kg/m3]
	58	REAL(wp), PUBLIC, SAVE :: tsurf = -20.0_wp !: air temperature on top of ice shelf [C]
	59	REAL(wp), PUBLIC, SAVE :: rlfusisf = 0.334e6_wp !: latent heat of fusion of ice shelf [J/kg]
[4666]	60
	61	!: Variable used in fldread to read the forcing file (nn_isf == 4 .OR. nn_isf == 3)
[6140]	62	CHARACTER(len=100), PUBLIC :: cn_dirisf = './' !: Root directory for location of ssr files
	63	TYPE(FLD_N) , PUBLIC :: sn_fwfisf !: information about the isf melting file to be read
	64	TYPE(FLD), ALLOCATABLE, DIMENSION(:) :: sf_fwfisf
	65	TYPE(FLD_N) , PUBLIC :: sn_rnfisf !: information about the isf melting param. file to be read
	66	TYPE(FLD), ALLOCATABLE, DIMENSION(:) :: sf_rnfisf
	67	TYPE(FLD_N) , PUBLIC :: sn_depmax_isf !: information about the grounding line depth file to be read
	68	TYPE(FLD_N) , PUBLIC :: sn_depmin_isf !: information about the calving line depth file to be read
	69	TYPE(FLD_N) , PUBLIC :: sn_Leff_isf !: information about the effective length file to be read
[4666]	70
	71	!!----------------------------------------------------------------------
[9019]	72	!! NEMO/OPA 4.0 , LOCEAN-IPSL (2017)
[5215]	73	!! $Id$
[4666]	74	!! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt)
	75	!!----------------------------------------------------------------------
	76	CONTAINS
	77
[9019]	78	SUBROUTINE sbc_isf( kt )
[5836]	79	!!---------------------------------------------------------------------
[6140]	80	!! * ROUTINE sbc_isf *
	81	!!
	82	!! ** Purpose : Compute Salt and Heat fluxes related to ice_shelf
	83	!! melting and freezing
	84	!!
	85	!! ** Method : 4 parameterizations are available according to nn_isf
	86	!! nn_isf = 1 : Realistic ice_shelf formulation
	87	!! 2 : Beckmann & Goose parameterization
	88	!! 3 : Specified runoff in deptht (Mathiot & al. )
	89	!! 4 : specified fwf and heat flux forcing beneath the ice shelf
	90	!!----------------------------------------------------------------------
[9019]	91	INTEGER, INTENT(in) :: kt ! ocean time step
[4666]	92	!
[9019]	93	INTEGER :: ji, jj, jk ! loop index
	94	INTEGER :: ikt, ikb ! local integers
	95	REAL(wp), DIMENSION(jpi,jpj) :: zt_frz, zdep ! freezing temperature (zt_frz) at depth (zdep)
	96	REAL(wp), DIMENSION(:,:) , ALLOCATABLE :: zqhcisf2d
	97	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: zfwfisf3d, zqhcisf3d, zqlatisf3d
[4666]	98	!!---------------------------------------------------------------------
	99	!
[9019]	100	IF( MOD( kt-1, nn_fsbc) == 0 ) THEN ! compute salt and heat flux
	101	!
[6140]	102	SELECT CASE ( nn_isf )
	103	CASE ( 1 ) ! realistic ice shelf formulation
[4666]	104	! compute T/S/U/V for the top boundary layer
	105	CALL sbc_isf_tbl(tsn(:,:,:,jp_tem),ttbl(:,:),'T')
	106	CALL sbc_isf_tbl(tsn(:,:,:,jp_sal),stbl(:,:),'T')
[6140]	107	CALL sbc_isf_tbl(un(:,:,:) ,utbl(:,:),'U')
	108	CALL sbc_isf_tbl(vn(:,:,:) ,vtbl(:,:),'V')
[4666]	109	! iom print
	110	CALL iom_put('ttbl',ttbl(:,:))
	111	CALL iom_put('stbl',stbl(:,:))
[6140]	112	CALL iom_put('utbl',utbl(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:))
	113	CALL iom_put('vtbl',vtbl(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:))
[4666]	114	! compute fwf and heat flux
[7788]	115	! compute fwf and heat flux
	116	IF( .NOT.l_isfcpl ) THEN ; CALL sbc_isf_cav (kt)
	117	ELSE ; qisf(:,:) = fwfisf(:,:) * rlfusisf ! heat flux
	118	ENDIF
[9019]	119	!
[6140]	120	CASE ( 2 ) ! Beckmann and Goosse parametrisation
[4666]	121	stbl(:,:) = soce
	122	CALL sbc_isf_bg03(kt)
[9019]	123	!
[6140]	124	CASE ( 3 ) ! specified runoff in depth (Mathiot et al., XXXX in preparation)
[7788]	125	! specified runoff in depth (Mathiot et al., XXXX in preparation)
	126	IF( .NOT.l_isfcpl ) THEN
	127	CALL fld_read ( kt, nn_fsbc, sf_rnfisf )
	128	fwfisf(:,:) = - sf_rnfisf(1)%fnow(:,:,1) ! fresh water flux from the isf (fwfisf <0 mean melting)
	129	ENDIF
[6140]	130	qisf(:,:) = fwfisf(:,:) * rlfusisf ! heat flux
[4666]	131	stbl(:,:) = soce
[9019]	132	!
[6140]	133	CASE ( 4 ) ! specified fwf and heat flux forcing beneath the ice shelf
[9019]	134	! ! specified fwf and heat flux forcing beneath the ice shelf
[7788]	135	IF( .NOT.l_isfcpl ) THEN
	136	CALL fld_read ( kt, nn_fsbc, sf_fwfisf )
	137	!CALL fld_read ( kt, nn_fsbc, sf_qisf )
	138	fwfisf(:,:) = -sf_fwfisf(1)%fnow(:,:,1) ! fwf
	139	ENDIF
[6140]	140	qisf(:,:) = fwfisf(:,:) * rlfusisf ! heat flux
[4666]	141	stbl(:,:) = soce
[9019]	142	!
[6140]	143	END SELECT
	144
[4666]	145	! compute tsc due to isf
[6140]	146	! isf melting implemented as a volume flux and we assume that melt water is at 0 PSU.
	147	! WARNING water add at temp = 0C, need to add a correction term (fwfisf * tfreez / rau0).
	148	! compute freezing point beneath ice shelf (or top cell if nn_isf = 3)
	149	DO jj = 1,jpj
	150	DO ji = 1,jpi
	151	zdep(ji,jj)=gdepw_n(ji,jj,misfkt(ji,jj))
	152	END DO
	153	END DO
	154	CALL eos_fzp( stbl(:,:), zt_frz(:,:), zdep(:,:) )
[4666]	155
[6140]	156	risf_tsc(:,:,jp_tem) = qisf(:,:) * r1_rau0_rcp - fwfisf(:,:) * zt_frz(:,:) * r1_rau0 !
	157	risf_tsc(:,:,jp_sal) = 0.0_wp
[5643]	158
[4666]	159	! lbclnk
[9019]	160	CALL lbc_lnk( risf_tsc(:,:,jp_tem),'T',1.)
	161	CALL lbc_lnk( risf_tsc(:,:,jp_sal),'T',1.)
	162	CALL lbc_lnk( fwfisf (:,:) ,'T',1.)
	163	CALL lbc_lnk( qisf (:,:) ,'T',1.)
[4666]	164
[7788]	165	! output
[7968]	166	IF( iom_use('iceshelf_cea') ) CALL iom_put( 'iceshelf_cea', -fwfisf(:,:) ) ! isf mass flux
	167	IF( iom_use('hflx_isf_cea') ) CALL iom_put( 'hflx_isf_cea', risf_tsc(:,:,jp_tem) * rau0 * rcp ) ! isf sensible+latent heat (W/m2)
	168	IF( iom_use('qlatisf' ) ) CALL iom_put( 'qlatisf' , qisf(:,:) ) ! isf latent heat
	169	IF( iom_use('fwfisf' ) ) CALL iom_put( 'fwfisf' , fwfisf(:,:) ) ! isf mass flux (opposite sign)
[7788]	170
[9019]	171	! Diagnostics
	172	IF( iom_use('fwfisf3d') .OR. iom_use('qlatisf3d') .OR. iom_use('qhcisf3d') .OR. iom_use('qhcisf')) THEN
	173	ALLOCATE( zfwfisf3d(jpi,jpj,jpk) , zqhcisf3d(jpi,jpj,jpk) , zqlatisf3d(jpi,jpj,jpk) )
	174	ALLOCATE( zqhcisf2d(jpi,jpj) )
	175	!
	176	zfwfisf3d (:,:,:) = 0._wp ! 3d ice shelf melting (kg/m2/s)
	177	zqhcisf3d (:,:,:) = 0._wp ! 3d heat content flux (W/m2)
	178	zqlatisf3d(:,:,:) = 0._wp ! 3d ice shelf melting latent heat flux (W/m2)
	179	zqhcisf2d (:,:) = fwfisf(:,:) * zt_frz * rcp ! 2d heat content flux (W/m2)
	180	!
[7646]	181	DO jj = 1,jpj
	182	DO ji = 1,jpi
	183	ikt = misfkt(ji,jj)
	184	ikb = misfkb(ji,jj)
	185	DO jk = ikt, ikb - 1
	186	zfwfisf3d (ji,jj,jk) = zfwfisf3d (ji,jj,jk) + fwfisf (ji,jj) * r1_hisf_tbl(ji,jj) * e3t_n(ji,jj,jk)
	187	zqhcisf3d (ji,jj,jk) = zqhcisf3d (ji,jj,jk) + zqhcisf2d(ji,jj) * r1_hisf_tbl(ji,jj) * e3t_n(ji,jj,jk)
	188	zqlatisf3d(ji,jj,jk) = zqlatisf3d(ji,jj,jk) + qisf (ji,jj) * r1_hisf_tbl(ji,jj) * e3t_n(ji,jj,jk)
	189	END DO
[8329]	190	zfwfisf3d (ji,jj,jk) = zfwfisf3d (ji,jj,jk) + fwfisf (ji,jj) * r1_hisf_tbl(ji,jj) &
	191	& * ralpha(ji,jj) * e3t_n(ji,jj,jk)
	192	zqhcisf3d (ji,jj,jk) = zqhcisf3d (ji,jj,jk) + zqhcisf2d(ji,jj) * r1_hisf_tbl(ji,jj) &
	193	& * ralpha(ji,jj) * e3t_n(ji,jj,jk)
	194	zqlatisf3d(ji,jj,jk) = zqlatisf3d(ji,jj,jk) + qisf (ji,jj) * r1_hisf_tbl(ji,jj) &
	195	& * ralpha(ji,jj) * e3t_n(ji,jj,jk)
[7646]	196	END DO
	197	END DO
[9019]	198	!
[7646]	199	CALL iom_put('fwfisf3d' , zfwfisf3d (:,:,:))
	200	CALL iom_put('qlatisf3d', zqlatisf3d(:,:,:))
	201	CALL iom_put('qhcisf3d' , zqhcisf3d (:,:,:))
	202	CALL iom_put('qhcisf' , zqhcisf2d (:,: ))
[9019]	203	!
	204	DEALLOCATE( zfwfisf3d, zqhcisf3d, zqlatisf3d )
	205	DEALLOCATE( zqhcisf2d )
[7788]	206	ENDIF
	207	!
[9019]	208	ENDIF
[4666]	209
[9019]	210	IF( kt == nit000 ) THEN ! set the forcing field at nit000 - 1 !
	211	IF( ln_rstart .AND. & ! Restart: read in restart file
	212	& iom_varid( numror, 'fwf_isf_b', ldstop = .FALSE. ) > 0 ) THEN
	213	IF(lwp) WRITE(numout,*) ' nit000-1 isf tracer content forcing fields read in the restart file'
	214	CALL iom_get( numror, jpdom_autoglo, 'fwf_isf_b', fwfisf_b(:,:) ) ! before salt content isf_tsc trend
	215	CALL iom_get( numror, jpdom_autoglo, 'isf_sc_b', risf_tsc_b(:,:,jp_sal) ) ! before salt content isf_tsc trend
	216	CALL iom_get( numror, jpdom_autoglo, 'isf_hc_b', risf_tsc_b(:,:,jp_tem) ) ! before salt content isf_tsc trend
	217	ELSE
	218	fwfisf_b(:,:) = fwfisf(:,:)
	219	risf_tsc_b(:,:,:)= risf_tsc(:,:,:)
	220	ENDIF
	221	ENDIF
	222	!
	223	IF( lrst_oce ) THEN
	224	IF(lwp) WRITE(numout,*)
	225	IF(lwp) WRITE(numout,*) 'sbc : isf surface tracer content forcing fields written in ocean restart file ', &
	226	& 'at it= ', kt,' date= ', ndastp
	227	IF(lwp) WRITE(numout,*) '~~~~'
	228	CALL iom_rstput( kt, nitrst, numrow, 'fwf_isf_b', fwfisf(:,:) )
	229	CALL iom_rstput( kt, nitrst, numrow, 'isf_hc_b' , risf_tsc(:,:,jp_tem) )
	230	CALL iom_rstput( kt, nitrst, numrow, 'isf_sc_b' , risf_tsc(:,:,jp_sal) )
	231	ENDIF
	232	!
	233	END SUBROUTINE sbc_isf
[5836]	234
[9019]	235
	236	INTEGER FUNCTION sbc_isf_alloc()
[4666]	237	!!----------------------------------------------------------------------
	238	!! * FUNCTION sbc_isf_rnf_alloc *
	239	!!----------------------------------------------------------------------
	240	sbc_isf_alloc = 0 ! set to zero if no array to be allocated
	241	IF( .NOT. ALLOCATED( qisf ) ) THEN
[5120]	242	ALLOCATE( risf_tsc(jpi,jpj,jpts), risf_tsc_b(jpi,jpj,jpts), qisf(jpi,jpj) , &
	243	& rhisf_tbl(jpi,jpj) , r1_hisf_tbl(jpi,jpj), rzisf_tbl(jpi,jpj) , &
	244	& ttbl(jpi,jpj) , stbl(jpi,jpj) , utbl(jpi,jpj) , &
	245	& vtbl(jpi, jpj) , risfLeff(jpi,jpj) , rhisf_tbl_0(jpi,jpj), &
	246	& ralpha(jpi,jpj) , misfkt(jpi,jpj) , misfkb(jpi,jpj) , &
[4946]	247	& STAT= sbc_isf_alloc )
[4666]	248	!
[6140]	249	IF( lk_mpp ) CALL mpp_sum ( sbc_isf_alloc )
[4666]	250	IF( sbc_isf_alloc /= 0 ) CALL ctl_warn('sbc_isf_alloc: failed to allocate arrays.')
	251	!
[9019]	252	ENDIF
	253	END FUNCTION
[4666]	254
[9019]	255
[6140]	256	SUBROUTINE sbc_isf_init
	257	!!---------------------------------------------------------------------
	258	!! * ROUTINE sbc_isf_init *
	259	!!
	260	!! ** Purpose : Initialisation of variables for iceshelf fluxes formulation
	261	!!
	262	!! ** Method : 4 parameterizations are available according to nn_isf
	263	!! nn_isf = 1 : Realistic ice_shelf formulation
	264	!! 2 : Beckmann & Goose parameterization
	265	!! 3 : Specified runoff in deptht (Mathiot & al. )
	266	!! 4 : specified fwf and heat flux forcing beneath the ice shelf
[5836]	267	!!----------------------------------------------------------------------
[6140]	268	INTEGER :: ji, jj, jk ! loop index
	269	INTEGER :: ik ! current level index
	270	INTEGER :: ikt, ikb ! top and bottom level of the isf boundary layer
	271	INTEGER :: inum, ierror
	272	INTEGER :: ios ! Local integer output status for namelist read
	273	REAL(wp) :: zhk
	274	CHARACTER(len=256) :: cvarzisf, cvarhisf ! name for isf file
	275	CHARACTER(LEN=32 ) :: cvarLeff ! variable name for efficient Length scale
[5836]	276	!!----------------------------------------------------------------------
[6140]	277	NAMELIST/namsbc_isf/ nn_isfblk, rn_hisf_tbl, rn_gammat0, rn_gammas0, nn_gammablk, nn_isf, &
	278	& sn_fwfisf, sn_rnfisf, sn_depmax_isf, sn_depmin_isf, sn_Leff_isf
	279	!!----------------------------------------------------------------------
	280
	281	REWIND( numnam_ref ) ! Namelist namsbc_rnf in reference namelist : Runoffs
	282	READ ( numnam_ref, namsbc_isf, IOSTAT = ios, ERR = 901)
	283	901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namsbc_isf in reference namelist', lwp )
	284
	285	REWIND( numnam_cfg ) ! Namelist namsbc_rnf in configuration namelist : Runoffs
	286	READ ( numnam_cfg, namsbc_isf, IOSTAT = ios, ERR = 902 )
	287	902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namsbc_isf in configuration namelist', lwp )
	288	IF(lwm) WRITE ( numond, namsbc_isf )
	289
	290	IF ( lwp ) WRITE(numout,*)
[9019]	291	IF ( lwp ) WRITE(numout,*) 'sbc_isf_init : heat flux of the ice shelf'
	292	IF ( lwp ) WRITE(numout,*) '~~~~~~~~~~~'
[6140]	293	IF ( lwp ) WRITE(numout,*) ' nn_isf = ', nn_isf
	294	IF ( lwp ) WRITE(numout,*) ' nn_isfblk = ', nn_isfblk
	295	IF ( lwp ) WRITE(numout,*) ' rn_hisf_tbl = ', rn_hisf_tbl
	296	IF ( lwp ) WRITE(numout,*) ' nn_gammablk = ', nn_gammablk
	297	IF ( lwp ) WRITE(numout,*) ' rn_gammat0 = ', rn_gammat0
	298	IF ( lwp ) WRITE(numout,*) ' rn_gammas0 = ', rn_gammas0
[9019]	299	IF ( lwp ) WRITE(numout,*) ' rn_Cd0 = ', r_Cdmin_top
[6140]	300	!
	301	! Allocate public variable
	302	IF ( sbc_isf_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'sbc_isf : unable to allocate arrays' )
	303	!
	304	! initialisation
[9019]	305	qisf (:,:) = 0._wp ; fwfisf (:,:) = 0._wp
	306	risf_tsc(:,:,:) = 0._wp ; fwfisf_b(:,:) = 0._wp
[6140]	307	!
	308	! define isf tbl tickness, top and bottom indice
	309	SELECT CASE ( nn_isf )
	310	CASE ( 1 )
	311	rhisf_tbl(:,:) = rn_hisf_tbl
[9019]	312	misfkt (:,:) = mikt(:,:) ! same indice for bg03 et cav => used in isfdiv
[6140]	313
	314	CASE ( 2 , 3 )
[7788]	315	IF( .NOT.l_isfcpl ) THEN
	316	ALLOCATE( sf_rnfisf(1), STAT=ierror )
	317	ALLOCATE( sf_rnfisf(1)%fnow(jpi,jpj,1), sf_rnfisf(1)%fdta(jpi,jpj,1,2) )
	318	CALL fld_fill( sf_rnfisf, (/ sn_rnfisf /), cn_dirisf, 'sbc_isf_init', 'read fresh water flux isf data', 'namsbc_isf' )
	319	ENDIF
	320	! read effective lenght (BG03)
	321	IF (nn_isf == 2) THEN
[6140]	322	CALL iom_open( sn_Leff_isf%clname, inum )
	323	cvarLeff = TRIM(sn_Leff_isf%clvar)
	324	CALL iom_get( inum, jpdom_data, cvarLeff, risfLeff , 1)
	325	CALL iom_close(inum)
	326	!
	327	risfLeff = risfLeff*1000.0_wp !: convertion in m
[7788]	328	END IF
[6140]	329	! read depth of the top and bottom of the isf top boundary layer (in this case, isf front depth and grounding line depth)
	330	CALL iom_open( sn_depmax_isf%clname, inum )
	331	cvarhisf = TRIM(sn_depmax_isf%clvar)
	332	CALL iom_get( inum, jpdom_data, cvarhisf, rhisf_tbl, 1) !: depth of deepest point of the ice shelf base
	333	CALL iom_close(inum)
	334	!
	335	CALL iom_open( sn_depmin_isf%clname, inum )
	336	cvarzisf = TRIM(sn_depmin_isf%clvar)
	337	CALL iom_get( inum, jpdom_data, cvarzisf, rzisf_tbl, 1) !: depth of shallowest point of the ice shelves base
	338	CALL iom_close(inum)
	339	!
	340	rhisf_tbl(:,:) = rhisf_tbl(:,:) - rzisf_tbl(:,:) !: tickness isf boundary layer
	341
	342	!! compute first level of the top boundary layer
	343	DO ji = 1, jpi
	344	DO jj = 1, jpj
	345	ik = 2
[9019]	346	!!gm potential bug: use gdepw_0 not _n
[6140]	347	DO WHILE ( ik <= mbkt(ji,jj) .AND. gdepw_n(ji,jj,ik) < rzisf_tbl(ji,jj) ) ; ik = ik + 1 ; END DO
	348	misfkt(ji,jj) = ik-1
	349	END DO
	350	END DO
	351
	352	CASE ( 4 )
	353	! as in nn_isf == 1
	354	rhisf_tbl(:,:) = rn_hisf_tbl
[9019]	355	misfkt (:,:) = mikt(:,:) ! same indice for bg03 et cav => used in isfdiv
[6140]	356
	357	! load variable used in fldread (use for temporal interpolation of isf fwf forcing)
[7788]	358	IF( .NOT.l_isfcpl ) THEN
	359	ALLOCATE( sf_fwfisf(1), STAT=ierror )
	360	ALLOCATE( sf_fwfisf(1)%fnow(jpi,jpj,1), sf_fwfisf(1)%fdta(jpi,jpj,1,2) )
	361	CALL fld_fill( sf_fwfisf, (/ sn_fwfisf /), cn_dirisf, 'sbc_isf_init', 'read fresh water flux isf data', 'namsbc_isf' )
	362	ENDIF
[6140]	363
	364	END SELECT
	365
	366	rhisf_tbl_0(:,:) = rhisf_tbl(:,:)
	367
	368	! compute bottom level of isf tbl and thickness of tbl below the ice shelf
	369	DO jj = 1,jpj
	370	DO ji = 1,jpi
	371	ikt = misfkt(ji,jj)
	372	ikb = misfkt(ji,jj)
	373	! thickness of boundary layer at least the top level thickness
	374	rhisf_tbl(ji,jj) = MAX(rhisf_tbl_0(ji,jj), e3t_n(ji,jj,ikt))
	375
	376	! determine the deepest level influenced by the boundary layer
	377	DO jk = ikt+1, mbkt(ji,jj)
[9019]	378	IF( (SUM(e3t_n(ji,jj,ikt:jk-1)) < rhisf_tbl(ji,jj)) .AND. (tmask(ji,jj,jk) == 1) ) ikb = jk
[6140]	379	END DO
	380	rhisf_tbl(ji,jj) = MIN(rhisf_tbl(ji,jj), SUM(e3t_n(ji,jj,ikt:ikb))) ! limit the tbl to water thickness.
	381	misfkb(ji,jj) = ikb ! last wet level of the tbl
	382	r1_hisf_tbl(ji,jj) = 1._wp / rhisf_tbl(ji,jj)
	383
	384	zhk = SUM( e3t_n(ji, jj, ikt:ikb - 1)) * r1_hisf_tbl(ji,jj) ! proportion of tbl cover by cell from ikt to ikb - 1
	385	ralpha(ji,jj) = rhisf_tbl(ji,jj) * (1._wp - zhk ) / e3t_n(ji,jj,ikb) ! proportion of bottom cell influenced by boundary layer
	386	END DO
	387	END DO
	388
	389	END SUBROUTINE sbc_isf_init
	390
[9019]	391
[6140]	392	SUBROUTINE sbc_isf_bg03(kt)
	393	!!---------------------------------------------------------------------
	394	!! * ROUTINE sbc_isf_bg03 *
[5836]	395	!!
[6140]	396	!! ** Purpose : add net heat and fresh water flux from ice shelf melting
	397	!! into the adjacent ocean
[5836]	398	!!
[6140]	399	!! ** Method : See reference
	400	!!
	401	!! ** Reference : Beckmann and Goosse (2003), "A parameterization of ice shelf-ocean
	402	!! interaction for climate models", Ocean Modelling 5(2003) 157-170.
	403	!! (hereafter BG)
[9019]	404	!! History : 06-02 (C. Wang) Original code
[5836]	405	!!----------------------------------------------------------------------
	406	INTEGER, INTENT ( in ) :: kt
	407	!
[6140]	408	INTEGER :: ji, jj, jk ! dummy loop index
	409	INTEGER :: ik ! current level
	410	REAL(wp) :: zt_sum ! sum of the temperature between 200m and 600m
	411	REAL(wp) :: zt_ave ! averaged temperature between 200m and 600m
	412	REAL(wp) :: zt_frz ! freezing point temperature at depth z
	413	REAL(wp) :: zpress ! pressure to compute the freezing point in depth
	414	!!----------------------------------------------------------------------
[4666]	415
[9019]	416	IF( nn_timing == 1 ) CALL timing_start('sbc_isf_bg03')
[6140]	417	!
	418	DO ji = 1, jpi
	419	DO jj = 1, jpj
	420	ik = misfkt(ji,jj)
	421	!! Initialize arrays to 0 (each step)
	422	zt_sum = 0.e0_wp
	423	IF ( ik > 1 ) THEN
	424	! 1. -----------the average temperature between 200m and 600m ---------------------
	425	DO jk = misfkt(ji,jj),misfkb(ji,jj)
	426	! freezing point temperature at ice shelf base BG eq. 2 (JMM sign pb ??? +7.64e-4 !!!)
	427	! after verif with UNESCO, wrong sign in BG eq. 2
	428	! Calculate freezing temperature
	429	CALL eos_fzp(stbl(ji,jj), zt_frz, zpress)
	430	zt_sum = zt_sum + (tsn(ji,jj,jk,jp_tem)-zt_frz) * e3t_n(ji,jj,jk) * tmask(ji,jj,jk) ! sum temp
	431	END DO
	432	zt_ave = zt_sum/rhisf_tbl(ji,jj) ! calcul mean value
	433	! 2. ------------Net heat flux and fresh water flux due to the ice shelf
	434	! For those corresponding to zonal boundary
	435	qisf(ji,jj) = - rau0 * rcp * rn_gammat0 * risfLeff(ji,jj) * e1t(ji,jj) * zt_ave &
	436	& * r1_e1e2t(ji,jj) * tmask(ji,jj,jk)
[4666]	437
[6140]	438	fwfisf(ji,jj) = qisf(ji,jj) / rlfusisf !fresh water flux kg/(m2s)
	439	fwfisf(ji,jj) = fwfisf(ji,jj) * ( soce / stbl(ji,jj) )
	440	!add to salinity trend
	441	ELSE
[9019]	442	qisf(ji,jj) = 0._wp ; fwfisf(ji,jj) = 0._wp
[6140]	443	END IF
	444	END DO
	445	END DO
[5836]	446	!
[9019]	447	IF( nn_timing == 1 ) CALL timing_stop('sbc_isf_bg03')
[6140]	448	!
[4666]	449	END SUBROUTINE sbc_isf_bg03
	450
[9019]	451
[6140]	452	SUBROUTINE sbc_isf_cav( kt )
[4666]	453	!!---------------------------------------------------------------------
	454	!! * ROUTINE sbc_isf_cav *
	455	!!
	456	!! ** Purpose : handle surface boundary condition under ice shelf
	457	!!
	458	!! ** Method : -
	459	!!
	460	!! ** Action : utau, vtau : remain unchanged
	461	!! taum, wndm : remain unchanged
	462	!! qns : update heat flux below ice shelf
	463	!! emp, emps : update freshwater flux below ice shelf
	464	!!---------------------------------------------------------------------
[9019]	465	INTEGER, INTENT(in) :: kt ! ocean time step
[4666]	466	!
[6140]	467	INTEGER :: ji, jj ! dummy loop indices
	468	INTEGER :: nit
[9019]	469	LOGICAL :: lit
[4666]	470	REAL(wp) :: zlamb1, zlamb2, zlamb3
	471	REAL(wp) :: zeps1,zeps2,zeps3,zeps4,zeps6,zeps7
	472	REAL(wp) :: zaqe,zbqe,zcqe,zaqer,zdis,zsfrz,zcfac
[6140]	473	REAL(wp) :: zeps = 1.e-20_wp
	474	REAL(wp) :: zerr
[9019]	475	REAL(wp), DIMENSION(jpi,jpj) :: zfrz
	476	REAL(wp), DIMENSION(jpi,jpj) :: zgammat, zgammas
	477	REAL(wp), DIMENSION(jpi,jpj) :: zfwflx, zhtflx, zhtflx_b
[4666]	478	!!---------------------------------------------------------------------
[6140]	479	! coeficient for linearisation of potential tfreez
	480	! Crude approximation for pressure (but commonly used)
	481	zlamb1 =-0.0573_wp
	482	zlamb2 = 0.0832_wp
	483	zlamb3 =-7.53e-08_wp * grav * rau0
[4666]	484	IF( nn_timing == 1 ) CALL timing_start('sbc_isf_cav')
	485	!
[6140]	486	! initialisation
	487	zgammat(:,:) = rn_gammat0 ; zgammas (:,:) = rn_gammas0
	488	zhtflx (:,:) = 0.0_wp ; zhtflx_b(:,:) = 0.0_wp
	489	zfwflx (:,:) = 0.0_wp
[4666]	490
[6140]	491	! compute ice shelf melting
	492	nit = 1 ; lit = .TRUE.
	493	DO WHILE ( lit ) ! maybe just a constant number of iteration as in blk_core is fine
	494	SELECT CASE ( nn_isfblk )
	495	CASE ( 1 ) ! ISOMIP formulation (2 equations) for volume flux (Hunter et al., 2006)
	496	! Calculate freezing temperature
	497	CALL eos_fzp( stbl(:,:), zfrz(:,:), risfdep(:,:) )
[4666]	498
[6140]	499	! compute gammat every where (2d)
	500	CALL sbc_isf_gammats(zgammat, zgammas, zhtflx, zfwflx)
	501
	502	! compute upward heat flux zhtflx and upward water flux zwflx
	503	DO jj = 1, jpj
	504	DO ji = 1, jpi
	505	zhtflx(ji,jj) = zgammat(ji,jj)rcprau0*(ttbl(ji,jj)-zfrz(ji,jj))
	506	zfwflx(ji,jj) = - zhtflx(ji,jj)/rlfusisf
	507	END DO
	508	END DO
[4666]	509
[6140]	510	! Compute heat flux and upward fresh water flux
	511	qisf (:,:) = - zhtflx(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:)
	512	fwfisf(:,:) = zfwflx(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:)
[5721]	513
[6140]	514	CASE ( 2 ) ! ISOMIP+ formulation (3 equations) for volume flux (Asay-Davis et al., 2015)
	515	! compute gammat every where (2d)
	516	CALL sbc_isf_gammats(zgammat, zgammas, zhtflx, zfwflx)
[4666]	517
[6140]	518	! compute upward heat flux zhtflx and upward water flux zwflx
	519	! Resolution of a 2d equation from equation 21, 22 and 23 to find Sb (Asay-Davis et al., 2015)
	520	DO jj = 1, jpj
	521	DO ji = 1, jpi
	522	! compute coeficient to solve the 2nd order equation
	523	zeps1 = rcprau0zgammat(ji,jj)
	524	zeps2 = rlfusisfrau0zgammas(ji,jj)
	525	zeps3 = rhoisfrcpirkappa/MAX(risfdep(ji,jj),zeps)
	526	zeps4 = zlamb2+zlamb3*risfdep(ji,jj)
	527	zeps6 = zeps4-ttbl(ji,jj)
	528	zeps7 = zeps4-tsurf
	529	zaqe = zlamb1 * (zeps1 + zeps3)
	530	zaqer = 0.5_wp/MIN(zaqe,-zeps)
	531	zbqe = zeps1zeps6+zeps3zeps7-zeps2
	532	zcqe = zeps2*stbl(ji,jj)
	533	zdis = zbqezbqe-4.0_wpzaqe*zcqe
	534
	535	! Presumably zdis can never be negative because gammas is very small compared to gammat
	536	! compute s freeze
	537	zsfrz=(-zbqe-SQRT(zdis))*zaqer
	538	IF ( zsfrz < 0.0_wp ) zsfrz=(-zbqe+SQRT(zdis))*zaqer
	539
	540	! compute t freeze (eq. 22)
	541	zfrz(ji,jj)=zeps4+zlamb1*zsfrz
	542
	543	! zfwflx is upward water flux
	544	! zhtflx is upward heat flux (out of ocean)
	545	! compute the upward water and heat flux (eq. 28 and eq. 29)
	546	zfwflx(ji,jj) = rau0 * zgammas(ji,jj) * (zsfrz-stbl(ji,jj)) / MAX(zsfrz,zeps)
	547	zhtflx(ji,jj) = zgammat(ji,jj) * rau0 * rcp * (ttbl(ji,jj) - zfrz(ji,jj) )
	548	END DO
[4666]	549	END DO
	550
[6140]	551	! compute heat and water flux
	552	qisf (:,:) = - zhtflx(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:)
	553	fwfisf(:,:) = zfwflx(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:)
[4666]	554
[6140]	555	END SELECT
[4666]	556
[6140]	557	! define if we need to iterate (nn_gammablk 0/1 do not need iteration)
	558	IF ( nn_gammablk < 2 ) THEN ; lit = .FALSE.
	559	ELSE
	560	! check total number of iteration
	561	IF (nit >= 100) THEN ; CALL ctl_stop( 'STOP', 'sbc_isf_hol99 : too many iteration ...' )
	562	ELSE ; nit = nit + 1
	563	END IF
[4666]	564
[6140]	565	! compute error between 2 iterations
	566	! if needed save gammat and compute zhtflx_b for next iteration
	567	zerr = MAXVAL(ABS(zhtflx-zhtflx_b))
	568	IF ( zerr <= 0.01_wp ) THEN ; lit = .FALSE.
	569	ELSE ; zhtflx_b(:,:) = zhtflx(:,:)
	570	END IF
	571	END IF
	572	END DO
[5302]	573	!
[6140]	574	CALL iom_put('isfgammat', zgammat)
	575	CALL iom_put('isfgammas', zgammas)
	576	!
[4666]	577	IF( nn_timing == 1 ) CALL timing_stop('sbc_isf_cav')
[5836]	578	!
[4666]	579	END SUBROUTINE sbc_isf_cav
	580
[7646]	581
[6140]	582	SUBROUTINE sbc_isf_gammats(pgt, pgs, pqhisf, pqwisf )
[4666]	583	!!----------------------------------------------------------------------
	584	!! ** Purpose : compute the coefficient echange for heat flux
	585	!!
	586	!! ** Method : gamma assume constant or depends of u* and stability
	587	!!
	588	!! ** References : Holland and Jenkins, 1999, JPO, p1787-1800, eq 14
	589	!! Jenkins et al., 2010, JPO, p2298-2312
	590	!!---------------------------------------------------------------------
[6140]	591	REAL(wp), DIMENSION(:,:), INTENT(out) :: pgt, pgs
	592	REAL(wp), DIMENSION(:,:), INTENT(in ) :: pqhisf, pqwisf
	593	!
	594	INTEGER :: ikt
	595	INTEGER :: ji, jj ! loop index
[4666]	596	REAL(wp) :: zdku, zdkv ! U, V shear
	597	REAL(wp) :: zPr, zSc, zRc ! Prandtl, Scmidth and Richardson number
	598	REAL(wp) :: zmob, zmols ! Monin Obukov length, coriolis factor at T point
	599	REAL(wp) :: zbuofdep, zhnu ! Bouyancy length scale, sublayer tickness
	600	REAL(wp) :: zhmax ! limitation of mol
	601	REAL(wp) :: zetastar ! stability parameter
	602	REAL(wp) :: zgmolet, zgmoles, zgturb ! contribution of modelecular sublayer and turbulence
	603	REAL(wp) :: zcoef ! temporary coef
[4946]	604	REAL(wp) :: zdep
[6140]	605	REAL(wp) :: zeps = 1.0e-20_wp
	606	REAL(wp), PARAMETER :: zxsiN = 0.052_wp ! dimensionless constant
	607	REAL(wp), PARAMETER :: znu = 1.95e-6_wp ! kinamatic viscosity of sea water (m2.s-1)
[4946]	608	REAL(wp), DIMENSION(2) :: zts, zab
[9019]	609	REAL(wp), DIMENSION(jpi,jpj) :: zustar ! U, V at T point and friction velocity
[4666]	610	!!---------------------------------------------------------------------
	611	!
[6140]	612	SELECT CASE ( nn_gammablk )
	613	CASE ( 0 ) ! gamma is constant (specified in namelist)
	614	!! ISOMIP formulation (Hunter et al, 2006)
	615	pgt(:,:) = rn_gammat0
	616	pgs(:,:) = rn_gammas0
[4666]	617
[6140]	618	CASE ( 1 ) ! gamma is assume to be proportional to u*
	619	!! Jenkins et al., 2010, JPO, p2298-2312
	620	!! Adopted by Asay-Davis et al. (2015)
[9019]	621	!!gm I don't understand the u* expression in those papers... (see for example zdfglf module)
	622	!! for me ustar= Cd0 * \|U\| not (Cd0)^1/2 * \|U\| .... which is what you can find in Jenkins et al.
[4666]	623
[9019]	624	!! compute ustar (eq. 24) !! NB: here r_Cdmin_top = rn_Cd0 read in namdrg_top namelist)
	625	zustar(:,:) = SQRT( r_Cdmin_top * (utbl(:,:) * utbl(:,:) + vtbl(:,:) * vtbl(:,:) + r_ke0_top) )
[4666]	626
[6140]	627	!! Compute gammats
	628	pgt(:,:) = zustar(:,:) * rn_gammat0
	629	pgs(:,:) = zustar(:,:) * rn_gammas0
	630
	631	CASE ( 2 ) ! gamma depends of stability of boundary layer
	632	!! Holland and Jenkins, 1999, JPO, p1787-1800, eq 14
	633	!! as MOL depends of flux and flux depends of MOL, best will be iteration (TO DO)
	634	!! compute ustar
[9019]	635	zustar(:,:) = SQRT( r_Cdmin_top * (utbl(:,:) * utbl(:,:) + vtbl(:,:) * vtbl(:,:) + r_ke0_top) )
[4666]	636
[6140]	637	!! compute Pr and Sc number (can be improved)
	638	zPr = 13.8_wp
	639	zSc = 2432.0_wp
[4666]	640
[6140]	641	!! compute gamma mole
	642	zgmolet = 12.5_wp * zPr ** (2.0/3.0) - 6.0_wp
	643	zgmoles = 12.5_wp * zSc ** (2.0/3.0) - 6.0_wp
[4666]	644
[6140]	645	!! compute gamma
[9019]	646	DO ji = 2, jpi
	647	DO jj = 2, jpj
[6140]	648	ikt = mikt(ji,jj)
[4666]	649
[9019]	650	IF( zustar(ji,jj) == 0._wp ) THEN ! only for kt = 1 I think
[6140]	651	pgt = rn_gammat0
	652	pgs = rn_gammas0
	653	ELSE
	654	!! compute Rc number (as done in zdfric.F90)
[9019]	655	!!gm better to do it like in the new zdfric.F90 i.e. avm weighted Ri computation
	656	!!gm moreover, use Max(rn2,0) to take care of static instabilities....
[6140]	657	zcoef = 0.5_wp / e3w_n(ji,jj,ikt)
	658	! ! shear of horizontal velocity
	659	zdku = zcoef * ( un(ji-1,jj ,ikt ) + un(ji,jj,ikt ) &
	660	& -un(ji-1,jj ,ikt+1) - un(ji,jj,ikt+1) )
	661	zdkv = zcoef * ( vn(ji ,jj-1,ikt ) + vn(ji,jj,ikt ) &
	662	& -vn(ji ,jj-1,ikt+1) - vn(ji,jj,ikt+1) )
	663	! ! richardson number (minimum value set to zero)
	664	zRc = rn2(ji,jj,ikt+1) / MAX( zdkuzdku + zdkvzdkv, zeps )
	665
	666	!! compute bouyancy
	667	zts(jp_tem) = ttbl(ji,jj)
	668	zts(jp_sal) = stbl(ji,jj)
	669	zdep = gdepw_n(ji,jj,ikt)
[4946]	670	!
[6140]	671	CALL eos_rab( zts, zdep, zab )
	672	!
	673	!! compute length scale
	674	zbuofdep = grav * ( zab(jp_tem) * pqhisf(ji,jj) - zab(jp_sal) * pqwisf(ji,jj) ) !!!!!!!!!!!!!!!!!!!!!!!!!!!!
[4666]	675
[6140]	676	!! compute Monin Obukov Length
	677	! Maximum boundary layer depth
	678	zhmax = gdept_n(ji,jj,mbkt(ji,jj)) - gdepw_n(ji,jj,mikt(ji,jj)) -0.001_wp
	679	! Compute Monin obukhov length scale at the surface and Ekman depth:
	680	zmob = zustar(ji,jj) ** 3 / (vkarmn * (zbuofdep + zeps))
	681	zmols = SIGN(1._wp, zmob) * MIN(ABS(zmob), zhmax) * tmask(ji,jj,ikt)
[4666]	682
[6140]	683	!! compute eta* (stability parameter)
[7646]	684	zetastar = 1._wp / ( SQRT(1._wp + MAX(zxsiN * zustar(ji,jj) / ( ABS(ff_f(ji,jj)) * zmols * zRc ), 0._wp)))
[4666]	685
[6140]	686	!! compute the sublayer thickness
	687	zhnu = 5 * znu / zustar(ji,jj)
[4666]	688
[6140]	689	!! compute gamma turb
[7646]	690	zgturb = 1._wp / vkarmn * LOG(zustar(ji,jj) * zxsiN * zetastar * zetastar / ( ABS(ff_f(ji,jj)) * zhnu )) &
[6140]	691	& + 1._wp / ( 2 * zxsiN * zetastar ) - 1._wp / vkarmn
	692
	693	!! compute gammats
	694	pgt(ji,jj) = zustar(ji,jj) / (zgturb + zgmolet)
	695	pgs(ji,jj) = zustar(ji,jj) / (zgturb + zgmoles)
[4666]	696	END IF
[6140]	697	END DO
	698	END DO
	699	CALL lbc_lnk(pgt(:,:),'T',1.)
	700	CALL lbc_lnk(pgs(:,:),'T',1.)
	701	END SELECT
[5836]	702	!
[6140]	703	END SUBROUTINE sbc_isf_gammats
[4666]	704
[9019]	705
[6140]	706	SUBROUTINE sbc_isf_tbl( pvarin, pvarout, cd_ptin )
[4666]	707	!!----------------------------------------------------------------------
	708	!! * SUBROUTINE sbc_isf_tbl *
	709	!!
[6140]	710	!! ** Purpose : compute mean T/S/U/V in the boundary layer at T- point
[4666]	711	!!
	712	!!----------------------------------------------------------------------
[9019]	713	REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: pvarin
	714	REAL(wp), DIMENSION(:,:) , INTENT( out) :: pvarout
	715	CHARACTER(len=1), INTENT(in ) :: cd_ptin ! point of variable in/out
[6140]	716	!
[9019]	717	INTEGER :: ji, jj, jk ! loop index
	718	INTEGER :: ikt, ikb ! top and bottom index of the tbl
	719	REAL(wp) :: ze3, zhk
	720	REAL(wp), DIMENSION(jpi,jpj) :: zhisf_tbl ! thickness of the tbl
[6140]	721	!!----------------------------------------------------------------------
[4666]	722
[6140]	723	! initialisation
	724	pvarout(:,:)=0._wp
	725
	726	SELECT CASE ( cd_ptin )
	727	CASE ( 'U' ) ! compute U in the top boundary layer at T- point
	728	DO jj = 1,jpj
	729	DO ji = 1,jpi
	730	ikt = miku(ji,jj) ; ikb = miku(ji,jj)
	731	! thickness of boundary layer at least the top level thickness
[9019]	732	zhisf_tbl(ji,jj) = MAX( rhisf_tbl_0(ji,jj) , e3u_n(ji,jj,ikt) )
[4666]	733
[6140]	734	! determine the deepest level influenced by the boundary layer
	735	DO jk = ikt+1, mbku(ji,jj)
	736	IF ( (SUM(e3u_n(ji,jj,ikt:jk-1)) < zhisf_tbl(ji,jj)) .AND. (umask(ji,jj,jk) == 1) ) ikb = jk
	737	END DO
	738	zhisf_tbl(ji,jj) = MIN(zhisf_tbl(ji,jj), SUM(e3u_n(ji,jj,ikt:ikb))) ! limit the tbl to water thickness.
[4666]	739
[6140]	740	! level fully include in the ice shelf boundary layer
	741	DO jk = ikt, ikb - 1
	742	ze3 = e3u_n(ji,jj,jk)
	743	pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,jk) / zhisf_tbl(ji,jj) * ze3
	744	END DO
[4666]	745
[6140]	746	! level partially include in ice shelf boundary layer
	747	zhk = SUM( e3u_n(ji, jj, ikt:ikb - 1)) / zhisf_tbl(ji,jj)
	748	pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,ikb) * (1._wp - zhk)
	749	END DO
	750	END DO
[9019]	751	DO jj = 2, jpj
	752	DO ji = 2, jpi
	753	!!gm a wet-point only average should be used here !!!
[6140]	754	pvarout(ji,jj) = 0.5_wp * (pvarout(ji,jj) + pvarout(ji-1,jj))
	755	END DO
	756	END DO
	757	CALL lbc_lnk(pvarout,'T',-1.)
	758
	759	CASE ( 'V' ) ! compute V in the top boundary layer at T- point
	760	DO jj = 1,jpj
	761	DO ji = 1,jpi
	762	ikt = mikv(ji,jj) ; ikb = mikv(ji,jj)
	763	! thickness of boundary layer at least the top level thickness
	764	zhisf_tbl(ji,jj) = MAX(rhisf_tbl_0(ji,jj), e3v_n(ji,jj,ikt))
[4666]	765
[6140]	766	! determine the deepest level influenced by the boundary layer
	767	DO jk = ikt+1, mbkv(ji,jj)
	768	IF ( (SUM(e3v_n(ji,jj,ikt:jk-1)) < zhisf_tbl(ji,jj)) .AND. (vmask(ji,jj,jk) == 1) ) ikb = jk
	769	END DO
	770	zhisf_tbl(ji,jj) = MIN(zhisf_tbl(ji,jj), SUM(e3v_n(ji,jj,ikt:ikb))) ! limit the tbl to water thickness.
[4666]	771
[6140]	772	! level fully include in the ice shelf boundary layer
	773	DO jk = ikt, ikb - 1
	774	ze3 = e3v_n(ji,jj,jk)
	775	pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,jk) / zhisf_tbl(ji,jj) * ze3
	776	END DO
[4666]	777
[6140]	778	! level partially include in ice shelf boundary layer
	779	zhk = SUM( e3v_n(ji, jj, ikt:ikb - 1)) / zhisf_tbl(ji,jj)
	780	pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,ikb) * (1._wp - zhk)
	781	END DO
	782	END DO
[9019]	783	DO jj = 2, jpj
	784	DO ji = 2, jpi
	785	!!gm a wet-point only average should be used here !!!
[6140]	786	pvarout(ji,jj) = 0.5_wp * (pvarout(ji,jj) + pvarout(ji,jj-1))
	787	END DO
	788	END DO
	789	CALL lbc_lnk(pvarout,'T',-1.)
	790
	791	CASE ( 'T' ) ! compute T in the top boundary layer at T- point
	792	DO jj = 1,jpj
	793	DO ji = 1,jpi
	794	ikt = misfkt(ji,jj)
	795	ikb = misfkb(ji,jj)
	796
[4666]	797	! level fully include in the ice shelf boundary layer
	798	DO jk = ikt, ikb - 1
[6140]	799	ze3 = e3t_n(ji,jj,jk)
	800	pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,jk) * r1_hisf_tbl(ji,jj) * ze3
[4666]	801	END DO
	802
	803	! level partially include in ice shelf boundary layer
[6140]	804	zhk = SUM( e3t_n(ji, jj, ikt:ikb - 1)) * r1_hisf_tbl(ji,jj)
	805	pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,ikb) * (1._wp - zhk)
	806	END DO
[4666]	807	END DO
[6140]	808	END SELECT
[9019]	809	!
[6140]	810	! mask mean tbl value
	811	pvarout(:,:) = pvarout(:,:) * ssmask(:,:)
[5836]	812	!
[4666]	813	END SUBROUTINE sbc_isf_tbl
	814
	815
	816	SUBROUTINE sbc_isf_div( phdivn )
	817	!!----------------------------------------------------------------------
	818	!! * SUBROUTINE sbc_isf_div *
	819	!!
	820	!! ** Purpose : update the horizontal divergence with the runoff inflow
	821	!!
	822	!! ** Method :
	823	!! CAUTION : risf_tsc(:,:,jp_sal) is negative (outflow) increase the
	824	!! divergence and expressed in m/s
	825	!!
	826	!! ** Action : phdivn decreased by the runoff inflow
	827	!!----------------------------------------------------------------------
[6140]	828	REAL(wp), DIMENSION(:,:,:), INTENT( inout ) :: phdivn ! horizontal divergence
	829	!
[4946]	830	INTEGER :: ji, jj, jk ! dummy loop indices
	831	INTEGER :: ikt, ikb
[6140]	832	REAL(wp) :: zhk
	833	REAL(wp) :: zfact ! local scalar
[4666]	834	!!----------------------------------------------------------------------
	835	!
	836	zfact = 0.5_wp
	837	!
[6140]	838	IF(.NOT.ln_linssh ) THEN ! need to re compute level distribution of isf fresh water
[4666]	839	DO jj = 1,jpj
	840	DO ji = 1,jpi
	841	ikt = misfkt(ji,jj)
	842	ikb = misfkt(ji,jj)
	843	! thickness of boundary layer at least the top level thickness
[6140]	844	rhisf_tbl(ji,jj) = MAX(rhisf_tbl_0(ji,jj), e3t_n(ji,jj,ikt))
[4666]	845
	846	! determine the deepest level influenced by the boundary layer
	847	DO jk = ikt, mbkt(ji,jj)
[6140]	848	IF ( (SUM(e3t_n(ji,jj,ikt:jk-1)) .LT. rhisf_tbl(ji,jj)) .AND. (tmask(ji,jj,jk) == 1) ) ikb = jk
[4666]	849	END DO
[6140]	850	rhisf_tbl(ji,jj) = MIN(rhisf_tbl(ji,jj), SUM(e3t_n(ji,jj,ikt:ikb))) ! limit the tbl to water thickness.
[4666]	851	misfkb(ji,jj) = ikb ! last wet level of the tbl
	852	r1_hisf_tbl(ji,jj) = 1._wp / rhisf_tbl(ji,jj)
[4726]	853
[6140]	854	zhk = SUM( e3t_n(ji, jj, ikt:ikb - 1)) * r1_hisf_tbl(ji,jj) ! proportion of tbl cover by cell from ikt to ikb - 1
	855	ralpha(ji,jj) = rhisf_tbl(ji,jj) * (1._wp - zhk ) / e3t_n(ji,jj,ikb) ! proportion of bottom cell influenced by boundary layer
[4666]	856	END DO
	857	END DO
[6140]	858	END IF
[4666]	859	!
[6140]	860	!== ice shelf melting distributed over several levels ==!
[4666]	861	DO jj = 1,jpj
	862	DO ji = 1,jpi
	863	ikt = misfkt(ji,jj)
	864	ikb = misfkb(ji,jj)
	865	! level fully include in the ice shelf boundary layer
	866	DO jk = ikt, ikb - 1
[4946]	867	phdivn(ji,jj,jk) = phdivn(ji,jj,jk) + ( fwfisf(ji,jj) + fwfisf_b(ji,jj) ) &
[6140]	868	& * r1_hisf_tbl(ji,jj) * r1_rau0 * zfact
[4666]	869	END DO
	870	! level partially include in ice shelf boundary layer
[4946]	871	phdivn(ji,jj,ikb) = phdivn(ji,jj,ikb) + ( fwfisf(ji,jj) &
[6140]	872	& + fwfisf_b(ji,jj) ) * r1_hisf_tbl(ji,jj) * r1_rau0 * zfact * ralpha(ji,jj)
[4666]	873	END DO
	874	END DO
	875	!
	876	END SUBROUTINE sbc_isf_div
[9019]	877
[6140]	878	!!======================================================================
[4666]	879	END MODULE sbcisf

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