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sbcisf.F90 in branches/2015/dev_r5151_UKMO_ISF/NEMOGCM/NEMO/OPA_SRC/SBC – NEMO

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source: branches/2015/dev_r5151_UKMO_ISF/NEMOGCM/NEMO/OPA_SRC/SBC/sbcisf.F90 @ 5944

Last change on this file since 5944 was 5944, checked in by mathiot, 8 years ago
ISF: change related to reviewers comments
Property svn:keywords set to `Id`
File size: 41.0 KB

Rev	Line
[4666]	1	MODULE sbcisf
	2	!!======================================================================
	3	!! * MODULE sbcisf *
	4	!! Surface module : update surface ocean boundary condition under ice
	5	!! shelf
	6	!!======================================================================
	7	!! History : 3.2 ! 2011-02 (C.Harris ) Original code isf cav
	8	!! X.X ! 2006-02 (C. Wang ) Original code bg03
[5120]	9	!! 3.4 ! 2013-03 (P. Mathiot) Merging + parametrization
[4666]	10	!!----------------------------------------------------------------------
	11
	12	!!----------------------------------------------------------------------
	13	!! sbc_isf : update sbc under ice shelf
	14	!!----------------------------------------------------------------------
	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 lbclnk !
	21	USE iom ! I/O manager library
	22	USE in_out_manager ! I/O manager
	23	USE wrk_nemo ! Memory allocation
	24	USE timing ! Timing
	25	USE lib_fortran ! glob_sum
	26	USE zdfbfr
	27	USE fldread ! read input field at current time step
	28
	29
	30
	31	IMPLICIT NONE
	32	PRIVATE
	33
	34	PUBLIC sbc_isf, sbc_isf_div, sbc_isf_alloc ! routine called in sbcmod and divcur
	35
	36	! public in order to be able to output then
	37
	38	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: risf_tsc_b, risf_tsc
[5120]	39	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: qisf !: net heat flux from ice shelf
[4666]	40	REAL(wp), PUBLIC :: rn_hisf_tbl !: thickness of top boundary layer [m]
[5624]	41	INTEGER , PUBLIC :: nn_isf !: flag to choose between explicit/param/specified
[4666]	42	INTEGER , PUBLIC :: nn_isfblk !:
	43	INTEGER , PUBLIC :: nn_gammablk !:
	44	REAL(wp), PUBLIC :: rn_gammat0 !: temperature exchange coeficient
	45	REAL(wp), PUBLIC :: rn_gammas0 !: salinity exchange coeficient
	46
[4924]	47	REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: rzisf_tbl !:depth of calving front (shallowest point) nn_isf ==2/3
	48	REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: rhisf_tbl, rhisf_tbl_0 !:thickness of tbl
	49	REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: r1_hisf_tbl !:1/thickness of tbl
	50	REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: ralpha !:proportion of bottom cell influenced by tbl
	51	REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: risfLeff !:effective length (Leff) BG03 nn_isf==2
[4666]	52	REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: ttbl, stbl, utbl, vtbl !:top boundary layer variable at T point
[4957]	53	#if defined key_agrif
[4946]	54	! AGRIF can not handle these arrays as integers. The reason is a mystery but problems avoided by declaring them as reals
	55	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: misfkt, misfkb !:Level of ice shelf base
[4666]	56	!: (first wet level and last level include in the tbl)
[4946]	57	#else
[5944]	58	INTEGER, PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: misfkt, misfkb !:Level of ice shelf base
[4946]	59	#endif
[4666]	60
[4946]	61
[5944]	62	REAL(wp), PUBLIC, SAVE :: rcpi = 2000.0_wp ! phycst ?
	63	REAL(wp), PUBLIC, SAVE :: rkappa = 1.54e-6_wp ! phycst ?
	64	REAL(wp), PUBLIC, SAVE :: rhoisf = 920.0_wp ! phycst ?
	65	REAL(wp), PUBLIC, SAVE :: tsurf = -20.0_wp ! phycst ?
	66	REAL(wp), PUBLIC, SAVE :: rlfusisf = 0.334e6_wp ! phycst ?
[4666]	67
	68	!: Variable used in fldread to read the forcing file (nn_isf == 4 .OR. nn_isf == 3)
[5944]	69	CHARACTER(len=100), PUBLIC :: cn_dirisf = './' !: Root directory for location of ssr files
	70	TYPE(FLD_N) , PUBLIC :: sn_fwfisf !: information about the isf file to be read
	71	TYPE(FLD), ALLOCATABLE, DIMENSION(:) :: sf_fwfisf
	72	TYPE(FLD_N) , PUBLIC :: sn_rnfisf !: information about the runoff file to be read
	73	TYPE(FLD), ALLOCATABLE, DIMENSION(:) :: sf_rnfisf
	74	TYPE(FLD_N) , PUBLIC :: sn_depmax_isf !: information about the runoff file to be read ??
	75	TYPE(FLD_N) , PUBLIC :: sn_depmin_isf !: information about the runoff file to be read ??
	76	TYPE(FLD_N) , PUBLIC :: sn_Leff_isf !: information about the runoff file to be read ??
[4666]	77
	78	!! * Substitutions
	79	# include "domzgr_substitute.h90"
	80	!!----------------------------------------------------------------------
	81	!! NEMO/OPA 3.0 , LOCEAN-IPSL (2008)
[5621]	82	!! $Id$
[4666]	83	!! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt)
	84	!!----------------------------------------------------------------------
	85
	86	CONTAINS
	87
	88	SUBROUTINE sbc_isf(kt)
[5944]	89	!!---------------------------------------------------------------------
	90	!! * ROUTINE sbc_isf *
	91	!!
	92	!! ** Purpose : Compute Salt and Heat fluxes related to ice_shelf
	93	!! melting and freezing
	94	!!
	95	!! ** Method : 4 parameterizations are available according to nn_isf
	96	!! nn_isf = 1 : Realistic ice_shelf formulation
	97	!! 2 : Beckmann & Goose parameterization
	98	!! 3 : Specified runoff in deptht (Mathiot & al. )
	99	!! 4 : specified fwf and heat flux forcing beneath the ice shelf
	100	!!----------------------------------------------------------------------
	101	INTEGER, INTENT( in ) :: kt ! ocean time step
[4666]	102	!
[5944]	103	INTEGER :: ji, jj ! loop index
	104	REAL(wp), DIMENSION (:,:), POINTER :: zt_frz, zdep ! freezing temperature (zt_frz) at depth (zdep)
[4666]	105	!!---------------------------------------------------------------------
	106	!
	107	! ! ====================== !
	108	IF( kt == nit000 ) THEN ! First call kt=nit000 !
	109	! ! ====================== !
[5944]	110	CALL sbc_isf_init
	111	! ! ---------------------------------------- !
	112	ELSE ! Swap of forcing fields !
	113	! ! ---------------------------------------- !
	114	fwfisf_b (:,: ) = fwfisf (:,: ) ! Swap the ocean forcing fields except at nit000
	115	risf_tsc_b(:,:,:) = risf_tsc(:,:,:) ! where before fields are set at the end of the routine
[4666]	116	!
[4726]	117	END IF
[4666]	118
[4726]	119	IF( MOD( kt-1, nn_fsbc) == 0 ) THEN
[5944]	120	! allocation
	121	CALL wrk_alloc( jpi,jpj, zt_frz, zdep )
[4726]	122
[5944]	123	! compute salt and heat flux
	124	SELECT CASE ( nn_isf )
	125	CASE ( 1 ) ! realistic ice shelf formulation
[4666]	126	! compute T/S/U/V for the top boundary layer
	127	CALL sbc_isf_tbl(tsn(:,:,:,jp_tem),ttbl(:,:),'T')
	128	CALL sbc_isf_tbl(tsn(:,:,:,jp_sal),stbl(:,:),'T')
[5204]	129	CALL sbc_isf_tbl(un(:,:,:) ,utbl(:,:),'U')
	130	CALL sbc_isf_tbl(vn(:,:,:) ,vtbl(:,:),'V')
[4666]	131	! iom print
	132	CALL iom_put('ttbl',ttbl(:,:))
	133	CALL iom_put('stbl',stbl(:,:))
	134	CALL iom_put('utbl',utbl(:,:))
	135	CALL iom_put('vtbl',vtbl(:,:))
	136	! compute fwf and heat flux
	137	CALL sbc_isf_cav (kt)
	138
[5944]	139	CASE ( 2 ) ! Beckmann and Goosse parametrisation
[4666]	140	stbl(:,:) = soce
	141	CALL sbc_isf_bg03(kt)
	142
[5944]	143	CASE ( 3 ) ! specified runoff in depth (Mathiot et al., XXXX in preparation)
[4666]	144	CALL fld_read ( kt, nn_fsbc, sf_rnfisf )
[5905]	145	fwfisf(:,:) = - sf_rnfisf(1)%fnow(:,:,1) ! fwf flux from the isf (fwfisf <0 mean melting)
[5944]	146	qisf(:,:) = fwfisf(:,:) * rlfusisf ! heat flux
[4666]	147	stbl(:,:) = soce
	148
[5944]	149	CASE ( 4 ) ! specified fwf and heat flux forcing beneath the ice shelf
[4666]	150	CALL fld_read ( kt, nn_fsbc, sf_fwfisf )
[5905]	151	fwfisf(:,:) = - sf_fwfisf(1)%fnow(:,:,1) ! fwf flux from the isf (fwfisf <0 mean melting)
[5944]	152	qisf(:,:) = fwfisf(:,:) * rlfusisf ! heat flux
[4666]	153	stbl(:,:) = soce
	154
[5944]	155	END SELECT
	156
[4666]	157	! compute tsc due to isf
[5905]	158	! isf melting implemented as a volume flux and we assume that melt water is at 0 PSU.
	159	! WARNING water add at temp = 0C, need to add a correction term (fwfisf * tfreez / rau0).
	160	! compute freezing point beneath ice shelf (or top cell if nn_isf = 3)
	161	DO jj = 1,jpj
	162	DO ji = 1,jpi
	163	zdep(ji,jj)=fsdepw_n(ji,jj,misfkt(ji,jj))
	164	END DO
	165	END DO
	166	CALL eos_fzp( stbl(:,:), zt_frz(:,:), zdep(:,:) )
[4666]	167
[5905]	168	risf_tsc(:,:,jp_tem) = qisf(:,:) * r1_rau0_rcp - fwfisf(:,:) * zt_frz(:,:) * r1_rau0 !
[5624]	169	risf_tsc(:,:,jp_sal) = 0.0_wp
	170
[4666]	171	! lbclnk
	172	CALL lbc_lnk(risf_tsc(:,:,jp_tem),'T',1.)
	173	CALL lbc_lnk(risf_tsc(:,:,jp_sal),'T',1.)
[5944]	174	CALL lbc_lnk(fwfisf(:,:) ,'T',1.)
	175	CALL lbc_lnk(qisf(:,:) ,'T',1.)
[4666]	176
[5905]	177	IF( kt == nit000 ) THEN ! set the forcing field at nit000 - 1 !
[4666]	178	IF( ln_rstart .AND. & ! Restart: read in restart file
	179	& iom_varid( numror, 'fwf_isf_b', ldstop = .FALSE. ) > 0 ) THEN
	180	IF(lwp) WRITE(numout,*) ' nit000-1 isf tracer content forcing fields read in the restart file'
	181	CALL iom_get( numror, jpdom_autoglo, 'fwf_isf_b', fwfisf_b(:,:) ) ! before salt content isf_tsc trend
	182	CALL iom_get( numror, jpdom_autoglo, 'isf_sc_b', risf_tsc_b(:,:,jp_sal) ) ! before salt content isf_tsc trend
	183	CALL iom_get( numror, jpdom_autoglo, 'isf_hc_b', risf_tsc_b(:,:,jp_tem) ) ! before salt content isf_tsc trend
	184	ELSE
	185	fwfisf_b(:,:) = fwfisf(:,:)
	186	risf_tsc_b(:,:,:)= risf_tsc(:,:,:)
	187	END IF
[5944]	188	END IF
[4666]	189	!
	190	! output
[5944]	191	! JMM : iom_use not necessary here, qisf and fwfisf are always computed.
	192	! If not required in iodef.xml, iom_put does not do anything
	193	! IF( iom_use('qisf' ) ) CALL iom_put('qisf' , qisf)
	194	! IF( iom_use('fwfisf') ) CALL iom_put('fwfisf', fwfisf)
	195	CALL iom_put('qisf' , qisf)
	196	CALL iom_put('fwfisf', fwfisf)
	197
	198	! deallocation
	199	CALL wrk_dealloc( jpi,jpj, zt_frz, zdep )
[4666]	200	END IF
	201
	202	END SUBROUTINE sbc_isf
	203
	204	INTEGER FUNCTION sbc_isf_alloc()
	205	!!----------------------------------------------------------------------
	206	!! * FUNCTION sbc_isf_rnf_alloc *
	207	!!----------------------------------------------------------------------
	208	sbc_isf_alloc = 0 ! set to zero if no array to be allocated
	209	IF( .NOT. ALLOCATED( qisf ) ) THEN
[5120]	210	ALLOCATE( risf_tsc(jpi,jpj,jpts), risf_tsc_b(jpi,jpj,jpts), qisf(jpi,jpj) , &
	211	& rhisf_tbl(jpi,jpj) , r1_hisf_tbl(jpi,jpj), rzisf_tbl(jpi,jpj) , &
	212	& ttbl(jpi,jpj) , stbl(jpi,jpj) , utbl(jpi,jpj) , &
	213	& vtbl(jpi, jpj) , risfLeff(jpi,jpj) , rhisf_tbl_0(jpi,jpj), &
	214	& ralpha(jpi,jpj) , misfkt(jpi,jpj) , misfkb(jpi,jpj) , &
[4946]	215	& STAT= sbc_isf_alloc )
[4666]	216	!
[5944]	217	IF( lk_mpp ) CALL mpp_sum ( sbc_isf_alloc )
[4666]	218	IF( sbc_isf_alloc /= 0 ) CALL ctl_warn('sbc_isf_alloc: failed to allocate arrays.')
	219	!
[5944]	220	END IF
[4666]	221	END FUNCTION
	222
[5944]	223	SUBROUTINE sbc_isf_init
	224	!!---------------------------------------------------------------------
	225	!! * ROUTINE sbc_isf_init *
	226	!!
	227	!! ** Purpose : Initialisation of variables for iceshelf fluxes formulation
	228	!!
	229	!! ** Method : 4 parameterizations are available according to nn_isf
	230	!! nn_isf = 1 : Realistic ice_shelf formulation
	231	!! 2 : Beckmann & Goose parameterization
	232	!! 3 : Specified runoff in deptht (Mathiot & al. )
	233	!! 4 : specified fwf and heat flux forcing beneath the ice shelf
	234	!!----------------------------------------------------------------------
	235	INTEGER :: ji, jj, jk ! loop index
	236	INTEGER :: ik ! current level index
	237	INTEGER :: ikt, ikb ! top and bottom level of the isf boundary layer
	238	INTEGER :: inum, ierror
	239	INTEGER :: ios ! Local integer output status for namelist read
	240	REAL(wp) :: zhk
	241	CHARACTER(len=256) :: cvarzisf, cvarhisf ! name for isf file
	242	CHARACTER(LEN=32 ) :: cvarLeff ! variable name for efficient Length scale
	243	!!----------------------------------------------------------------------
	244	NAMELIST/namsbc_isf/ nn_isfblk, rn_hisf_tbl, rn_gammat0, rn_gammas0, nn_gammablk, nn_isf, &
	245	& sn_fwfisf, sn_rnfisf, sn_depmax_isf, sn_depmin_isf, sn_Leff_isf
	246	!!----------------------------------------------------------------------
[4666]	247
[5944]	248	REWIND( numnam_ref ) ! Namelist namsbc_rnf in reference namelist : Runoffs
	249	READ ( numnam_ref, namsbc_isf, IOSTAT = ios, ERR = 901)
	250	901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namsbc_isf in reference namelist', lwp )
[4666]	251
[5944]	252	REWIND( numnam_cfg ) ! Namelist namsbc_rnf in configuration namelist : Runoffs
	253	READ ( numnam_cfg, namsbc_isf, IOSTAT = ios, ERR = 902 )
	254	902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namsbc_isf in configuration namelist', lwp )
	255	IF(lwm) WRITE ( numond, namsbc_isf )
[4666]	256
[5944]	257	IF ( lwp ) WRITE(numout,*)
	258	IF ( lwp ) WRITE(numout,*) 'sbc_isf: heat flux of the ice shelf'
	259	IF ( lwp ) WRITE(numout,*) '~~~~~~~~~'
	260	IF ( lwp ) WRITE(numout,*) 'sbcisf :'
	261	IF ( lwp ) WRITE(numout,*) '~~~~~~~~'
	262	IF ( lwp ) WRITE(numout,*) ' nn_isf = ', nn_isf
	263	IF ( lwp ) WRITE(numout,*) ' nn_isfblk = ', nn_isfblk
	264	IF ( lwp ) WRITE(numout,*) ' rn_hisf_tbl = ', rn_hisf_tbl
	265	IF ( lwp ) WRITE(numout,*) ' nn_gammablk = ', nn_gammablk
	266	IF ( lwp ) WRITE(numout,*) ' rn_gammat0 = ', rn_gammat0
	267	IF ( lwp ) WRITE(numout,*) ' rn_gammas0 = ', rn_gammas0
	268	IF ( lwp ) WRITE(numout,*) ' rn_tfri2 = ', rn_tfri2
	269	!
	270	! Allocate public variable
	271	IF ( sbc_isf_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'sbc_isf : unable to allocate arrays' )
	272	!
	273	! initialisation
	274	qisf(:,:) = 0._wp ; fwfisf (:,:) = 0._wp
	275	risf_tsc(:,:,:) = 0._wp ; fwfisf_b(:,:) = 0._wp
	276	!
	277	! define isf tbl tickness, top and bottom indice
	278	SELECT CASE ( nn_isf )
	279	CASE ( 1 )
	280	rhisf_tbl(:,:) = rn_hisf_tbl
	281	misfkt(:,:) = mikt(:,:) ! same indice for bg03 et cav => used in isfdiv
[4666]	282
[5944]	283	CASE ( 2 , 3 )
	284	ALLOCATE( sf_rnfisf(1), STAT=ierror )
	285	ALLOCATE( sf_rnfisf(1)%fnow(jpi,jpj,1), sf_rnfisf(1)%fdta(jpi,jpj,1,2) )
	286	CALL fld_fill( sf_rnfisf, (/ sn_rnfisf /), cn_dirisf, 'sbc_isf_init', 'read fresh water flux isf data', 'namsbc_isf' )
	287
	288	! read effective lenght (BG03)
	289	IF (nn_isf == 2) THEN
	290	CALL iom_open( sn_Leff_isf%clname, inum )
	291	cvarLeff = TRIM(sn_Leff_isf%clvar)
	292	CALL iom_get( inum, jpdom_data, cvarLeff, risfLeff , 1)
	293	CALL iom_close(inum)
	294	!
	295	risfLeff = risfLeff*1000.0_wp !: convertion in m
	296	END IF
	297
	298	! read depth of the top and bottom of the isf top boundary layer (in this case, isf front depth and grounding line depth)
	299	CALL iom_open( sn_depmax_isf%clname, inum )
	300	cvarhisf = TRIM(sn_depmax_isf%clvar)
	301	CALL iom_get( inum, jpdom_data, cvarhisf, rhisf_tbl, 1) !: depth of deepest point of the ice shelf base
	302	CALL iom_close(inum)
	303	!
	304	CALL iom_open( sn_depmin_isf%clname, inum )
	305	cvarzisf = TRIM(sn_depmin_isf%clvar)
	306	CALL iom_get( inum, jpdom_data, cvarzisf, rzisf_tbl, 1) !: depth of shallowest point of the ice shelves base
	307	CALL iom_close(inum)
	308	!
	309	rhisf_tbl(:,:) = rhisf_tbl(:,:) - rzisf_tbl(:,:) !: tickness isf boundary layer
	310
	311	!! compute first level of the top boundary layer
	312	DO ji = 1, jpi
	313	DO jj = 1, jpj
	314	ik = 2
	315	DO WHILE ( ik <= mbkt(ji,jj) .AND. fsdepw(ji,jj,ik) < rzisf_tbl(ji,jj) ) ; ik = ik + 1 ; END DO
	316	misfkt(ji,jj) = ik-1
	317	END DO
	318	END DO
	319
	320	CASE ( 4 )
	321	! as in nn_isf == 1
	322	rhisf_tbl(:,:) = rn_hisf_tbl
	323	misfkt(:,:) = mikt(:,:) ! same indice for bg03 et cav => used in isfdiv
	324
	325	! load variable used in fldread (use for temporal interpolation of isf fwf forcing)
	326	ALLOCATE( sf_fwfisf(1), STAT=ierror )
	327	ALLOCATE( sf_fwfisf(1)%fnow(jpi,jpj,1), sf_fwfisf(1)%fdta(jpi,jpj,1,2) )
	328	CALL fld_fill( sf_fwfisf, (/ sn_fwfisf /), cn_dirisf, 'sbc_isf_init', 'read fresh water flux isf data', 'namsbc_isf' )
	329
	330	END SELECT
	331
	332	rhisf_tbl_0(:,:) = rhisf_tbl(:,:)
	333
	334	! compute bottom level of isf tbl and thickness of tbl below the ice shelf
	335	DO jj = 1,jpj
	336	DO ji = 1,jpi
	337	ikt = misfkt(ji,jj)
	338	ikb = misfkt(ji,jj)
	339	! thickness of boundary layer at least the top level thickness
	340	rhisf_tbl(ji,jj) = MAX(rhisf_tbl_0(ji,jj), fse3t_n(ji,jj,ikt))
	341
	342	! determine the deepest level influenced by the boundary layer
	343	DO jk = ikt+1, mbkt(ji,jj)
	344	IF ( (SUM(fse3t_n(ji,jj,ikt:jk-1)) < rhisf_tbl(ji,jj)) .AND. (tmask(ji,jj,jk) == 1) ) ikb = jk
	345	END DO
	346	rhisf_tbl(ji,jj) = MIN(rhisf_tbl(ji,jj), SUM(fse3t_n(ji,jj,ikt:ikb))) ! limit the tbl to water thickness.
	347	misfkb(ji,jj) = ikb ! last wet level of the tbl
	348	r1_hisf_tbl(ji,jj) = 1._wp / rhisf_tbl(ji,jj)
	349
	350	zhk = SUM( fse3t(ji, jj, ikt:ikb - 1)) * r1_hisf_tbl(ji,jj) ! proportion of tbl cover by cell from ikt to ikb - 1
	351	ralpha(ji,jj) = rhisf_tbl(ji,jj) * (1._wp - zhk ) / fse3t(ji,jj,ikb) ! proportion of bottom cell influenced by boundary layer
	352	END DO
	353	END DO
	354
	355	END SUBROUTINE sbc_isf_init
	356
	357	SUBROUTINE sbc_isf_bg03(kt)
	358	!!---------------------------------------------------------------------
	359	!! * ROUTINE sbc_isf_bg03 *
	360	!!
	361	!! ** Purpose : add net heat and fresh water flux from ice shelf melting
	362	!! into the adjacent ocean
	363	!!
	364	!! ** Method : See reference
	365	!!
	366	!! ** Reference : Beckmann and Goosse (2003), "A parameterization of ice shelf-ocean
	367	!! interaction for climate models", Ocean Modelling 5(2003) 157-170.
	368	!! (hereafter BG)
	369	!! History :
	370	!! 06-02 (C. Wang) Original code
	371	!!----------------------------------------------------------------------
	372	INTEGER, INTENT ( in ) :: kt
	373	!
	374	INTEGER :: ji, jj, jk ! dummy loop index
	375	INTEGER :: ik ! current level
	376	REAL(wp) :: zt_sum ! sum of the temperature between 200m and 600m
	377	REAL(wp) :: zt_ave ! averaged temperature between 200m and 600m
	378	REAL(wp) :: zt_frz ! freezing point temperature at depth z
	379	REAL(wp) :: zpress ! pressure to compute the freezing point in depth
	380	!!----------------------------------------------------------------------
	381
	382	IF ( nn_timing == 1 ) CALL timing_start('sbc_isf_bg03')
	383	!
	384	DO ji = 1, jpi
	385	DO jj = 1, jpj
	386	ik = misfkt(ji,jj)
	387	!! Initialize arrays to 0 (each step)
	388	zt_sum = 0.e0_wp
	389	IF ( ik > 1 ) THEN
	390	! 1. -----------the average temperature between 200m and 600m ---------------------
	391	DO jk = misfkt(ji,jj),misfkb(ji,jj)
	392	! freezing point temperature at ice shelf base BG eq. 2 (JMM sign pb ??? +7.64e-4 !!!)
	393	! after verif with UNESCO, wrong sign in BG eq. 2
	394	! Calculate freezing temperature
	395	CALL eos_fzp(stbl(ji,jj), zt_frz, zpress)
	396	zt_sum = zt_sum + (tsn(ji,jj,jk,jp_tem)-zt_frz) * fse3t(ji,jj,jk) * tmask(ji,jj,jk) ! sum temp
	397	END DO
	398	zt_ave = zt_sum/rhisf_tbl(ji,jj) ! calcul mean value
	399	! 2. ------------Net heat flux and fresh water flux due to the ice shelf
	400	! For those corresponding to zonal boundary
	401	qisf(ji,jj) = - rau0 * rcp * rn_gammat0 * risfLeff(ji,jj) * e1t(ji,jj) * zt_ave &
	402	& * r1_e12t(ji,jj) * tmask(ji,jj,jk)
[4666]	403
[5944]	404	fwfisf(ji,jj) = qisf(ji,jj) / rlfusisf !fresh water flux kg/(m2s)
	405	fwfisf(ji,jj) = fwfisf(ji,jj) * ( soce / stbl(ji,jj) )
	406	!add to salinity trend
	407	ELSE
	408	qisf(ji,jj) = 0._wp ; fwfisf(ji,jj) = 0._wp
	409	END IF
	410	END DO
	411	END DO
	412	!
	413	IF( nn_timing == 1 ) CALL timing_stop('sbc_isf_bg03')
	414
[4666]	415	END SUBROUTINE sbc_isf_bg03
	416
[5944]	417	SUBROUTINE sbc_isf_cav( kt )
[4666]	418	!!---------------------------------------------------------------------
	419	!! * ROUTINE sbc_isf_cav *
	420	!!
	421	!! ** Purpose : handle surface boundary condition under ice shelf
	422	!!
	423	!! ** Method : -
	424	!!
	425	!! ** Action : utau, vtau : remain unchanged
	426	!! taum, wndm : remain unchanged
	427	!! qns : update heat flux below ice shelf
	428	!! emp, emps : update freshwater flux below ice shelf
	429	!!---------------------------------------------------------------------
	430	INTEGER, INTENT(in) :: kt ! ocean time step
	431	!
[5944]	432	INTEGER :: ji, jj ! dummy loop indices
	433	INTEGER :: nit
[4666]	434	REAL(wp) :: zlamb1, zlamb2, zlamb3
	435	REAL(wp) :: zeps1,zeps2,zeps3,zeps4,zeps6,zeps7
	436	REAL(wp) :: zaqe,zbqe,zcqe,zaqer,zdis,zsfrz,zcfac
[5204]	437	REAL(wp) :: zeps = 1.e-20_wp
	438	REAL(wp) :: zerr
[5944]	439	REAL(wp), DIMENSION(:,:), POINTER :: zfrz
	440	REAL(wp), DIMENSION(:,:), POINTER :: zgammat, zgammas
	441	REAL(wp), DIMENSION(:,:), POINTER :: zfwflx, zhtflx, zhtflx_b
[5204]	442	LOGICAL :: lit
[4666]	443	!!---------------------------------------------------------------------
[5905]	444	! coeficient for linearisation of potential tfreez
	445	! Crude approximation for pressure (but commonly used)
[5944]	446	zlamb1 =-0.0573_wp
	447	zlamb2 = 0.0832_wp
	448	zlamb3 =-7.53e-08_wp * grav * rau0
[4666]	449	IF( nn_timing == 1 ) CALL timing_start('sbc_isf_cav')
	450	!
[5905]	451	CALL wrk_alloc( jpi,jpj, zfrz , zgammat, zgammas )
	452	CALL wrk_alloc( jpi,jpj, zfwflx, zhtflx , zhtflx_b )
[4666]	453
[5204]	454	! initialisation
[5944]	455	zgammat(:,:) = rn_gammat0 ; zgammas (:,:) = rn_gammas0
	456	zhtflx (:,:) = 0.0_wp ; zhtflx_b(:,:) = 0.0_wp
	457	zfwflx (:,:) = 0.0_wp
[4666]	458
[5905]	459	! compute ice shelf melting
[5204]	460	nit = 1 ; lit = .TRUE.
	461	DO WHILE ( lit ) ! maybe just a constant number of iteration as in blk_core is fine
[5944]	462	SELECT CASE ( nn_isfblk )
	463	CASE ( 1 ) ! ISOMIP formulation (2 equations) for volume flux (Hunter et al., 2006)
[5621]	464	! Calculate freezing temperature
[5905]	465	CALL eos_fzp( stbl(:,:), zfrz(:,:), risfdep(:,:) )
[5621]	466
[5204]	467	! compute gammat every where (2d)
	468	CALL sbc_isf_gammats(zgammat, zgammas, zhtflx, zfwflx)
	469
	470	! compute upward heat flux zhtflx and upward water flux zwflx
	471	DO jj = 1, jpj
	472	DO ji = 1, jpi
[5905]	473	zhtflx(ji,jj) = zgammat(ji,jj)rcprau0*(ttbl(ji,jj)-zfrz(ji,jj))
[5944]	474	zfwflx(ji,jj) = - zhtflx(ji,jj)/rlfusisf
[5204]	475	END DO
[4666]	476	END DO
	477
[5204]	478	! Compute heat flux and upward fresh water flux
[5905]	479	qisf (:,:) = - zhtflx(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:)
	480	fwfisf(:,:) = zfwflx(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:)
[4666]	481
[5944]	482	CASE ( 2 ) ! ISOMIP+ formulation (3 equations) for volume flux (Asay-Davis et al., 2015)
[5204]	483	! compute gammat every where (2d)
	484	CALL sbc_isf_gammats(zgammat, zgammas, zhtflx, zfwflx)
[4666]	485
[5204]	486	! compute upward heat flux zhtflx and upward water flux zwflx
[5905]	487	! Resolution of a 2d equation from equation 21, 22 and 23 to find Sb (Asay-Davis et al., 2015)
[5204]	488	DO jj = 1, jpj
	489	DO ji = 1, jpi
	490	! compute coeficient to solve the 2nd order equation
[5944]	491	zeps1 = rcprau0zgammat(ji,jj)
	492	zeps2 = rlfusisfrau0zgammas(ji,jj)
	493	zeps3 = rhoisfrcpirkappa/MAX(risfdep(ji,jj),zeps)
	494	zeps4 = zlamb2+zlamb3*risfdep(ji,jj)
	495	zeps6 = zeps4-ttbl(ji,jj)
	496	zeps7 = zeps4-tsurf
	497	zaqe = zlamb1 * (zeps1 + zeps3)
	498	zaqer = 0.5_wp/MIN(zaqe,-zeps)
	499	zbqe = zeps1zeps6+zeps3zeps7-zeps2
	500	zcqe = zeps2*stbl(ji,jj)
	501	zdis = zbqezbqe-4.0_wpzaqe*zcqe
[5204]	502
	503	! Presumably zdis can never be negative because gammas is very small compared to gammat
	504	! compute s freeze
[5828]	505	zsfrz=(-zbqe-SQRT(zdis))*zaqer
[5944]	506	IF ( zsfrz < 0.0_wp ) zsfrz=(-zbqe+SQRT(zdis))*zaqer
[5204]	507
[5905]	508	! compute t freeze (eq. 22)
[5204]	509	zfrz(ji,jj)=zeps4+zlamb1*zsfrz
[4666]	510
[5204]	511	! zfwflx is upward water flux
	512	! zhtflx is upward heat flux (out of ocean)
[5905]	513	! compute the upward water and heat flux (eq. 28 and eq. 29)
[5204]	514	zfwflx(ji,jj) = rau0 * zgammas(ji,jj) * (zsfrz-stbl(ji,jj)) / MAX(zsfrz,zeps)
[5905]	515	zhtflx(ji,jj) = zgammat(ji,jj) * rau0 * rcp * (ttbl(ji,jj) - zfrz(ji,jj) )
[5204]	516	END DO
	517	END DO
[4666]	518
[5204]	519	! compute heat and water flux
	520	qisf (:,:) = - zhtflx(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:)
	521	fwfisf(:,:) = zfwflx(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:)
[4666]	522
[5944]	523	END SELECT
[5204]	524
[5834]	525	! define if we need to iterate (nn_gammablk 0/1 do not need iteration)
[5944]	526	IF ( nn_gammablk < 2 ) THEN ; lit = .FALSE.
[5204]	527	ELSE
	528	! check total number of iteration
[5944]	529	IF (nit >= 100) THEN ; CALL ctl_stop( 'STOP', 'sbc_isf_hol99 : too many iteration ...' )
	530	ELSE ; nit = nit + 1
	531	END IF
[5204]	532
	533	! compute error between 2 iterations
	534	! if needed save gammat and compute zhtflx_b for next iteration
	535	zerr = MAXVAL(ABS(zhtflx-zhtflx_b))
[5944]	536	IF ( zerr <= 0.01_wp ) THEN ; lit = .FALSE.
	537	ELSE ; zhtflx_b(:,:) = zhtflx(:,:)
	538	END IF
[5204]	539	END IF
	540	END DO
	541	!
[5944]	542	! output see JMM comment above
	543	! IF( iom_use('isfgammat') ) CALL iom_put('isfgammat', zgammat)
	544	! IF( iom_use('isfgammas') ) CALL iom_put('isfgammas', zgammas)
	545	CALL iom_put('isfgammat', zgammat)
	546	CALL iom_put('isfgammas', zgammas)
[5204]	547	!
[5905]	548	CALL wrk_dealloc( jpi,jpj, zfrz , zgammat, zgammas )
	549	CALL wrk_dealloc( jpi,jpj, zfwflx, zhtflx , zhtflx_b )
[4666]	550	!
	551	IF( nn_timing == 1 ) CALL timing_stop('sbc_isf_cav')
	552
	553	END SUBROUTINE sbc_isf_cav
	554
[5944]	555	SUBROUTINE sbc_isf_gammats(pgt, pgs, pqhisf, pqwisf )
[4666]	556	!!----------------------------------------------------------------------
	557	!! ** Purpose : compute the coefficient echange for heat flux
	558	!!
	559	!! ** Method : gamma assume constant or depends of u* and stability
	560	!!
	561	!! ** References : Holland and Jenkins, 1999, JPO, p1787-1800, eq 14
	562	!! Jenkins et al., 2010, JPO, p2298-2312
	563	!!---------------------------------------------------------------------
[5944]	564	REAL(wp), DIMENSION(:,:), INTENT(out) :: pgt, pgs
	565	REAL(wp), DIMENSION(:,:), INTENT(in ) :: pqhisf, pqwisf
	566	!
[5834]	567	INTEGER :: ikt
[5944]	568	INTEGER :: ji, jj ! loop index
[5204]	569	REAL(wp), DIMENSION(:,:), POINTER :: zustar ! U, V at T point and friction velocity
[4666]	570	REAL(wp) :: zdku, zdkv ! U, V shear
	571	REAL(wp) :: zPr, zSc, zRc ! Prandtl, Scmidth and Richardson number
	572	REAL(wp) :: zmob, zmols ! Monin Obukov length, coriolis factor at T point
	573	REAL(wp) :: zbuofdep, zhnu ! Bouyancy length scale, sublayer tickness
	574	REAL(wp) :: zhmax ! limitation of mol
	575	REAL(wp) :: zetastar ! stability parameter
	576	REAL(wp) :: zgmolet, zgmoles, zgturb ! contribution of modelecular sublayer and turbulence
	577	REAL(wp) :: zcoef ! temporary coef
[4946]	578	REAL(wp) :: zdep
[5834]	579	REAL(wp) :: zeps = 1.0e-20_wp
[5944]	580	REAL(wp), PARAMETER :: zxsiN = 0.052_wp ! dimensionless constant
	581	REAL(wp), PARAMETER :: znu = 1.95e-6_wp ! kinamatic viscosity of sea water (m2.s-1)
[4946]	582	REAL(wp), DIMENSION(2) :: zts, zab
[4666]	583	!!---------------------------------------------------------------------
[5204]	584	CALL wrk_alloc( jpi,jpj, zustar )
[4666]	585	!
[5944]	586	SELECT CASE ( nn_gammablk )
	587	CASE ( 0 ) ! gamma is constant (specified in namelist)
	588	!! ISOMIP formulation (Hunter et al, 2006)
	589	pgt(:,:) = rn_gammat0
	590	pgs(:,:) = rn_gammas0
[5204]	591
[5944]	592	CASE ( 1 ) ! gamma is assume to be proportional to u*
	593	!! Jenkins et al., 2010, JPO, p2298-2312
	594	!! Adopted by Asay-Davis et al. (2015)
[4666]	595
[5944]	596	!! compute ustar (eq. 24)
[5216]	597	zustar(:,:) = SQRT( rn_tfri2 * (utbl(:,:) * utbl(:,:) + vtbl(:,:) * vtbl(:,:) + rn_tfeb2) )
[4666]	598
[5944]	599	!! Compute gammats
	600	pgt(:,:) = zustar(:,:) * rn_gammat0
	601	pgs(:,:) = zustar(:,:) * rn_gammas0
[5204]	602
[5944]	603	CASE ( 2 ) ! gamma depends of stability of boundary layer
	604	!! Holland and Jenkins, 1999, JPO, p1787-1800, eq 14
	605	!! as MOL depends of flux and flux depends of MOL, best will be iteration (TO DO)
	606	!! compute ustar
[5216]	607	zustar(:,:) = SQRT( rn_tfri2 * (utbl(:,:) * utbl(:,:) + vtbl(:,:) * vtbl(:,:) + rn_tfeb2) )
[4666]	608
[5944]	609	!! compute Pr and Sc number (can be improved)
	610	zPr = 13.8_wp
	611	zSc = 2432.0_wp
[4666]	612
[5944]	613	!! compute gamma mole
	614	zgmolet = 12.5_wp * zPr ** (2.0/3.0) - 6.0_wp
	615	zgmoles = 12.5_wp * zSc ** (2.0/3.0) - 6.0_wp
[4666]	616
[5944]	617	!! compute gamma
[5204]	618	DO ji=2,jpi
	619	DO jj=2,jpj
	620	ikt = mikt(ji,jj)
	621
	622	IF (zustar(ji,jj) == 0._wp) THEN ! only for kt = 1 I think
[5944]	623	pgt = rn_gammat0
	624	pgs = rn_gammas0
[5204]	625	ELSE
[5944]	626	!! compute Rc number (as done in zdfric.F90)
	627	zcoef = 0.5_wp / fse3w(ji,jj,ikt)
[5204]	628	! ! shear of horizontal velocity
[5905]	629	zdku = zcoef * ( un(ji-1,jj ,ikt ) + un(ji,jj,ikt ) &
[5204]	630	& -un(ji-1,jj ,ikt+1) - un(ji,jj,ikt+1) )
[5905]	631	zdkv = zcoef * ( vn(ji ,jj-1,ikt ) + vn(ji,jj,ikt ) &
[5204]	632	& -vn(ji ,jj-1,ikt+1) - vn(ji,jj,ikt+1) )
	633	! ! richardson number (minimum value set to zero)
	634	zRc = rn2(ji,jj,ikt+1) / MAX( zdkuzdku + zdkvzdkv, zeps )
	635
[5944]	636	!! compute bouyancy
[5204]	637	zts(jp_tem) = ttbl(ji,jj)
	638	zts(jp_sal) = stbl(ji,jj)
	639	zdep = fsdepw(ji,jj,ikt)
[4946]	640	!
[5204]	641	CALL eos_rab( zts, zdep, zab )
	642	!
[5944]	643	!! compute length scale
	644	zbuofdep = grav * ( zab(jp_tem) * pqhisf(ji,jj) - zab(jp_sal) * pqwisf(ji,jj) ) !!!!!!!!!!!!!!!!!!!!!!!!!!!!
[4666]	645
[5944]	646	!! compute Monin Obukov Length
[5204]	647	! Maximum boundary layer depth
	648	zhmax = fsdept(ji,jj,mbkt(ji,jj)) - fsdepw(ji,jj,mikt(ji,jj)) - 0.001_wp
	649	! Compute Monin obukhov length scale at the surface and Ekman depth:
[5834]	650	zmob = zustar(ji,jj) ** 3 / (vkarmn * (zbuofdep + zeps))
[5204]	651	zmols = SIGN(1._wp, zmob) * MIN(ABS(zmob), zhmax) * tmask(ji,jj,ikt)
[4666]	652
[5944]	653	!! compute eta* (stability parameter)
[5204]	654	zetastar = 1._wp / ( SQRT(1._wp + MAX(zxsiN * zustar(ji,jj) / ( ABS(ff(ji,jj)) * zmols * zRc ), 0.0_wp)))
[4666]	655
[5944]	656	!! compute the sublayer thickness
[5204]	657	zhnu = 5 * znu / zustar(ji,jj)
	658
[5944]	659	!! compute gamma turb
[5204]	660	zgturb = 1._wp / vkarmn * LOG(zustar(ji,jj) * zxsiN * zetastar * zetastar / ( ABS(ff(ji,jj)) * zhnu )) &
	661	& + 1._wp / ( 2 * zxsiN * zetastar ) - 1._wp / vkarmn
[4666]	662
[5944]	663	!! compute gammats
	664	pgt(ji,jj) = zustar(ji,jj) / (zgturb + zgmolet)
	665	pgs(ji,jj) = zustar(ji,jj) / (zgturb + zgmoles)
[4666]	666	END IF
[5204]	667	END DO
	668	END DO
[5944]	669	CALL lbc_lnk(pgt(:,:),'T',1.)
	670	CALL lbc_lnk(pgs(:,:),'T',1.)
	671	END SELECT
[5204]	672	CALL wrk_dealloc( jpi,jpj, zustar )
[4666]	673
[5944]	674	END SUBROUTINE sbc_isf_gammats
[4666]	675
[5944]	676	SUBROUTINE sbc_isf_tbl( pvarin, pvarout, cd_ptin )
[4666]	677	!!----------------------------------------------------------------------
	678	!! * SUBROUTINE sbc_isf_tbl *
	679	!!
[5204]	680	!! ** Purpose : compute mean T/S/U/V in the boundary layer at T- point
[4666]	681	!!
	682	!!----------------------------------------------------------------------
[5944]	683	REAL(wp), DIMENSION(:,:,:), INTENT( in ) :: pvarin
	684	REAL(wp), DIMENSION(:,:) , INTENT( out ) :: pvarout
	685	CHARACTER(len=1), INTENT( in ) :: cd_ptin ! point of variable in/out
	686	!
[4666]	687	REAL(wp) :: ze3, zhk
[5905]	688	REAL(wp), DIMENSION(:,:), POINTER :: zhisf_tbl ! thickness of the tbl
[4666]	689
[5944]	690	INTEGER :: ji, jj, jk ! loop index
	691	INTEGER :: ikt, ikb ! top and bottom index of the tbl
	692	!!----------------------------------------------------------------------
[5905]	693	! allocation
[5216]	694	CALL wrk_alloc( jpi,jpj, zhisf_tbl)
[5905]	695
	696	! initialisation
[5944]	697	pvarout(:,:)=0._wp
[5905]	698
[5944]	699	SELECT CASE ( cd_ptin )
	700	CASE ( 'U' ) ! compute U in the top boundary layer at T- point
[5216]	701	DO jj = 1,jpj
	702	DO ji = 1,jpi
	703	ikt = miku(ji,jj) ; ikb = miku(ji,jj)
[5944]	704	! thickness of boundary layer at least the top level thickness
[5216]	705	zhisf_tbl(ji,jj) = MAX(rhisf_tbl_0(ji,jj), fse3u_n(ji,jj,ikt))
[4666]	706
[5944]	707	! determine the deepest level influenced by the boundary layer
[5905]	708	DO jk = ikt+1, mbku(ji,jj)
[5944]	709	IF ( (SUM(fse3u_n(ji,jj,ikt:jk-1)) < zhisf_tbl(ji,jj)) .AND. (umask(ji,jj,jk) == 1) ) ikb = jk
[5216]	710	END DO
	711	zhisf_tbl(ji,jj) = MIN(zhisf_tbl(ji,jj), SUM(fse3u_n(ji,jj,ikt:ikb))) ! limit the tbl to water thickness.
	712
[5944]	713	! level fully include in the ice shelf boundary layer
[5216]	714	DO jk = ikt, ikb - 1
	715	ze3 = fse3u_n(ji,jj,jk)
[5944]	716	pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,jk) / zhisf_tbl(ji,jj) * ze3
[5216]	717	END DO
	718
[5944]	719	! level partially include in ice shelf boundary layer
[5216]	720	zhk = SUM( fse3u_n(ji, jj, ikt:ikb - 1)) / zhisf_tbl(ji,jj)
[5944]	721	pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,ikb) * (1._wp - zhk)
[5204]	722	END DO
[5216]	723	END DO
	724	DO jj = 2,jpj
	725	DO ji = 2,jpi
[5944]	726	pvarout(ji,jj) = 0.5_wp * (pvarout(ji,jj) + pvarout(ji-1,jj))
[5216]	727	END DO
	728	END DO
[5944]	729	CALL lbc_lnk(pvarout,'T',-1.)
	730
	731	CASE ( 'V' ) ! compute V in the top boundary layer at T- point
[5216]	732	DO jj = 1,jpj
	733	DO ji = 1,jpi
	734	ikt = mikv(ji,jj) ; ikb = mikv(ji,jj)
[5944]	735	! thickness of boundary layer at least the top level thickness
[5216]	736	zhisf_tbl(ji,jj) = MAX(rhisf_tbl_0(ji,jj), fse3v_n(ji,jj,ikt))
	737
[5944]	738	! determine the deepest level influenced by the boundary layer
[5905]	739	DO jk = ikt+1, mbkv(ji,jj)
[5944]	740	IF ( (SUM(fse3v_n(ji,jj,ikt:jk-1)) < zhisf_tbl(ji,jj)) .AND. (vmask(ji,jj,jk) == 1) ) ikb = jk
[5216]	741	END DO
	742	zhisf_tbl(ji,jj) = MIN(zhisf_tbl(ji,jj), SUM(fse3v_n(ji,jj,ikt:ikb))) ! limit the tbl to water thickness.
	743
[5944]	744	! level fully include in the ice shelf boundary layer
[5216]	745	DO jk = ikt, ikb - 1
	746	ze3 = fse3v_n(ji,jj,jk)
[5944]	747	pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,jk) / zhisf_tbl(ji,jj) * ze3
[5216]	748	END DO
	749
[5944]	750	! level partially include in ice shelf boundary layer
[5216]	751	zhk = SUM( fse3v_n(ji, jj, ikt:ikb - 1)) / zhisf_tbl(ji,jj)
[5944]	752	pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,ikb) * (1._wp - zhk)
[5216]	753	END DO
[4666]	754	END DO
[5216]	755	DO jj = 2,jpj
	756	DO ji = 2,jpi
[5944]	757	pvarout(ji,jj) = 0.5_wp * (pvarout(ji,jj) + pvarout(ji,jj-1))
[5216]	758	END DO
	759	END DO
[5944]	760	CALL lbc_lnk(pvarout,'T',-1.)
[5216]	761
[5944]	762	CASE ( 'T' ) ! compute T in the top boundary layer at T- point
[5216]	763	DO jj = 1,jpj
	764	DO ji = 1,jpi
	765	ikt = misfkt(ji,jj)
	766	ikb = misfkb(ji,jj)
	767
[5944]	768	! level fully include in the ice shelf boundary layer
[5216]	769	DO jk = ikt, ikb - 1
	770	ze3 = fse3t_n(ji,jj,jk)
[5944]	771	pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,jk) * r1_hisf_tbl(ji,jj) * ze3
[5216]	772	END DO
	773
[5944]	774	! level partially include in ice shelf boundary layer
[5216]	775	zhk = SUM( fse3t_n(ji, jj, ikt:ikb - 1)) * r1_hisf_tbl(ji,jj)
[5944]	776	pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,ikb) * (1._wp - zhk)
[5216]	777	END DO
	778	END DO
[5944]	779	END SELECT
[5905]	780
	781	! mask mean tbl value
[5944]	782	pvarout(:,:) = pvarout(:,:) * ssmask(:,:)
[4666]	783
[5905]	784	! deallocation
[5216]	785	CALL wrk_dealloc( jpi,jpj, zhisf_tbl )
[4666]	786
	787	END SUBROUTINE sbc_isf_tbl
	788
	789
	790	SUBROUTINE sbc_isf_div( phdivn )
	791	!!----------------------------------------------------------------------
	792	!! * SUBROUTINE sbc_isf_div *
	793	!!
	794	!! ** Purpose : update the horizontal divergence with the runoff inflow
	795	!!
	796	!! ** Method :
	797	!! CAUTION : risf_tsc(:,:,jp_sal) is negative (outflow) increase the
	798	!! divergence and expressed in m/s
	799	!!
	800	!! ** Action : phdivn decreased by the runoff inflow
	801	!!----------------------------------------------------------------------
[5944]	802	REAL(wp), DIMENSION(:,:,:), INTENT( inout ) :: phdivn ! horizontal divergence
	803	!
[4946]	804	INTEGER :: ji, jj, jk ! dummy loop indices
	805	INTEGER :: ikt, ikb
[5204]	806	REAL(wp) :: zhk
	807	REAL(wp) :: zfact ! local scalar
[4666]	808	!!----------------------------------------------------------------------
	809	!
	810	zfact = 0.5_wp
	811	!
[5944]	812	IF ( lk_vvl ) THEN ! need to re compute level distribution of isf fresh water
[4666]	813	DO jj = 1,jpj
	814	DO ji = 1,jpi
	815	ikt = misfkt(ji,jj)
	816	ikb = misfkt(ji,jj)
	817	! thickness of boundary layer at least the top level thickness
	818	rhisf_tbl(ji,jj) = MAX(rhisf_tbl_0(ji,jj), fse3t(ji,jj,ikt))
	819
	820	! determine the deepest level influenced by the boundary layer
[5905]	821	DO jk = ikt+1, mbkt(ji,jj)
[5944]	822	IF ( (SUM(fse3t(ji,jj,ikt:jk-1)) < rhisf_tbl(ji,jj)) .AND. (tmask(ji,jj,jk) == 1) ) ikb = jk
[4666]	823	END DO
	824	rhisf_tbl(ji,jj) = MIN(rhisf_tbl(ji,jj), SUM(fse3t(ji,jj,ikt:ikb))) ! limit the tbl to water thickness.
	825	misfkb(ji,jj) = ikb ! last wet level of the tbl
	826	r1_hisf_tbl(ji,jj) = 1._wp / rhisf_tbl(ji,jj)
[4726]	827
[5834]	828	zhk = SUM( fse3t(ji, jj, ikt:ikb - 1)) * r1_hisf_tbl(ji,jj) ! proportion of tbl cover by cell from ikt to ikb - 1
[4726]	829	ralpha(ji,jj) = rhisf_tbl(ji,jj) * (1._wp - zhk ) / fse3t(ji,jj,ikb) ! proportion of bottom cell influenced by boundary layer
[4666]	830	END DO
	831	END DO
[5834]	832	END IF
[4666]	833	!
[5834]	834	!== ice shelf melting distributed over several levels ==!
[4666]	835	DO jj = 1,jpj
	836	DO ji = 1,jpi
	837	ikt = misfkt(ji,jj)
	838	ikb = misfkb(ji,jj)
	839	! level fully include in the ice shelf boundary layer
	840	DO jk = ikt, ikb - 1
[4946]	841	phdivn(ji,jj,jk) = phdivn(ji,jj,jk) + ( fwfisf(ji,jj) + fwfisf_b(ji,jj) ) &
[5944]	842	& * r1_hisf_tbl(ji,jj) * r1_rau0 * zfact
[4666]	843	END DO
	844	! level partially include in ice shelf boundary layer
[4946]	845	phdivn(ji,jj,ikb) = phdivn(ji,jj,ikb) + ( fwfisf(ji,jj) &
[5944]	846	& + fwfisf_b(ji,jj) ) * r1_hisf_tbl(ji,jj) * r1_rau0 * zfact * ralpha(ji,jj)
[4666]	847	END DO
	848	END DO
	849	!
	850	END SUBROUTINE sbc_isf_div
[5905]	851	!!======================================================================
[4666]	852	END MODULE sbcisf

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