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sbcisf.F90 in NEMO/branches/2019/dev_r10721_KERNEL-02_Storkey_Coward_IMMERSE_first_steps/src/OCE/SBC – NEMO

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source: NEMO/branches/2019/dev_r10721_KERNEL-02_Storkey_Coward_IMMERSE_first_steps/src/OCE/SBC/sbcisf.F90 @ 13658

Last change on this file since 13658 was 11822, checked in by acc, 5 years ago
Branch 2019/dev_r10721_KERNEL-02_Storkey_Coward_IMMERSE_first_steps. Sette tested updates to branch to align with trunk changes between 10721 and 11740. Sette tests are passing but results differ from branch before these changes (except for GYRE_PISCES and VORTEX) and branch results already differed from trunk because of algorithmic fixes. Will need more checks to confirm correctness.
Property svn:keywords set to `Id`
File size: 46.0 KB

Rev	Line
[4666]	1	MODULE sbcisf
	2	!!======================================================================
	3	!! * MODULE sbcisf *
	4	!! Surface module : update surface ocean boundary condition under ice
	5	!! shelf
	6	!!======================================================================
[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 lib_fortran ! glob_sum
[4666]	27
	28	IMPLICIT NONE
	29	PRIVATE
	30
[7816]	31	PUBLIC sbc_isf, sbc_isf_init, sbc_isf_div, sbc_isf_alloc ! routine called in sbcmod and divhor
[4666]	32
	33	! public in order to be able to output then
	34
	35	REAL(wp), PUBLIC :: rn_hisf_tbl !: thickness of top boundary layer [m]
[6140]	36	INTEGER , PUBLIC :: nn_isf !: flag to choose between explicit/param/specified
	37	INTEGER , PUBLIC :: nn_isfblk !: flag to choose the bulk formulation to compute the ice shelf melting
	38	INTEGER , PUBLIC :: nn_gammablk !: flag to choose how the exchange coefficient is computed
	39	REAL(wp), PUBLIC :: rn_gammat0 !: temperature exchange coeficient []
	40	REAL(wp), PUBLIC :: rn_gammas0 !: salinity exchange coeficient []
[4666]	41
[9019]	42	INTEGER , PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: misfkt , misfkb !: Level of ice shelf base
	43	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: rzisf_tbl !: depth of calving front (shallowest point) nn_isf ==2/3
	44	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: rhisf_tbl, rhisf_tbl_0 !: thickness of tbl [m]
	45	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: r1_hisf_tbl !: 1/thickness of tbl
	46	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ralpha !: proportion of bottom cell influenced by tbl
	47	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: risfLeff !: effective length (Leff) BG03 nn_isf==2
	48	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ttbl, stbl, utbl, vtbl !: top boundary layer variable at T point
	49	REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: qisf !: net heat flux from ice shelf [W/m2]
	50	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]	51
[9019]	52	LOGICAL, PUBLIC :: l_isfcpl = .false. !: isf recieved from oasis
[7788]	53
[9935]	54	REAL(wp), PUBLIC, SAVE :: rcpisf = 2000.0_wp !: specific heat of ice shelf [J/kg/K]
[9019]	55	REAL(wp), PUBLIC, SAVE :: rkappa = 1.54e-6_wp !: heat diffusivity through the ice-shelf [m2/s]
	56	REAL(wp), PUBLIC, SAVE :: rhoisf = 920.0_wp !: volumic mass of ice shelf [kg/m3]
	57	REAL(wp), PUBLIC, SAVE :: tsurf = -20.0_wp !: air temperature on top of ice shelf [C]
[9935]	58	REAL(wp), PUBLIC, SAVE :: rLfusisf = 0.334e6_wp !: latent heat of fusion of ice shelf [J/kg]
[4666]	59
	60	!: Variable used in fldread to read the forcing file (nn_isf == 4 .OR. nn_isf == 3)
[6140]	61	CHARACTER(len=100), PUBLIC :: cn_dirisf = './' !: Root directory for location of ssr files
	62	TYPE(FLD_N) , PUBLIC :: sn_fwfisf !: information about the isf melting file to be read
	63	TYPE(FLD), ALLOCATABLE, DIMENSION(:) :: sf_fwfisf
	64	TYPE(FLD_N) , PUBLIC :: sn_rnfisf !: information about the isf melting param. file to be read
	65	TYPE(FLD), ALLOCATABLE, DIMENSION(:) :: sf_rnfisf
	66	TYPE(FLD_N) , PUBLIC :: sn_depmax_isf !: information about the grounding line depth file to be read
	67	TYPE(FLD_N) , PUBLIC :: sn_depmin_isf !: information about the calving line depth file to be read
	68	TYPE(FLD_N) , PUBLIC :: sn_Leff_isf !: information about the effective length file to be read
[4666]	69
	70	!!----------------------------------------------------------------------
[9598]	71	!! NEMO/OCE 4.0 , NEMO Consortium (2018)
[5215]	72	!! $Id$
[10068]	73	!! Software governed by the CeCILL license (see ./LICENSE)
[4666]	74	!!----------------------------------------------------------------------
	75	CONTAINS
	76
[10922]	77	SUBROUTINE sbc_isf( kt, Kmm )
[5836]	78	!!---------------------------------------------------------------------
[6140]	79	!! * ROUTINE sbc_isf *
	80	!!
	81	!! ** Purpose : Compute Salt and Heat fluxes related to ice_shelf
	82	!! melting and freezing
	83	!!
	84	!! ** Method : 4 parameterizations are available according to nn_isf
	85	!! nn_isf = 1 : Realistic ice_shelf formulation
	86	!! 2 : Beckmann & Goose parameterization
	87	!! 3 : Specified runoff in deptht (Mathiot & al. )
	88	!! 4 : specified fwf and heat flux forcing beneath the ice shelf
	89	!!----------------------------------------------------------------------
[9019]	90	INTEGER, INTENT(in) :: kt ! ocean time step
[10922]	91	INTEGER, INTENT(in) :: Kmm ! ocean time level indices
[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
[10922]	105	CALL sbc_isf_tbl(ts(:,:,:,jp_tem,Kmm),ttbl(:,:),'T',Kmm)
	106	CALL sbc_isf_tbl(ts(:,:,:,jp_sal,Kmm),stbl(:,:),'T',Kmm)
	107	CALL sbc_isf_tbl(uu(:,:,:,Kmm) ,utbl(:,:),'U',Kmm)
	108	CALL sbc_isf_tbl(vv(:,:,:,Kmm) ,vtbl(:,:),'V',Kmm)
[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
[10922]	116	IF( .NOT.l_isfcpl ) THEN ; CALL sbc_isf_cav (kt, Kmm)
[9935]	117	ELSE ; qisf(:,:) = fwfisf(:,:) * rLfusisf ! heat flux
[7788]	118	ENDIF
[9019]	119	!
[6140]	120	CASE ( 2 ) ! Beckmann and Goosse parametrisation
[4666]	121	stbl(:,:) = soce
[10922]	122	CALL sbc_isf_bg03(kt, Kmm)
[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
[9935]	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
[9935]	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
[11027]	151	zdep(ji,jj)=gdepw(ji,jj,misfkt(ji,jj),Kmm)
[6140]	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
[10425]	160	CALL lbc_lnk_multi( 'sbcisf', risf_tsc(:,:,jp_tem), 'T', 1., risf_tsc(:,:,jp_sal), 'T', 1., fwfisf,'T', 1., qisf, 'T', 1.)
[7788]	161	! output
[7968]	162	IF( iom_use('iceshelf_cea') ) CALL iom_put( 'iceshelf_cea', -fwfisf(:,:) ) ! isf mass flux
	163	IF( iom_use('hflx_isf_cea') ) CALL iom_put( 'hflx_isf_cea', risf_tsc(:,:,jp_tem) * rau0 * rcp ) ! isf sensible+latent heat (W/m2)
	164	IF( iom_use('qlatisf' ) ) CALL iom_put( 'qlatisf' , qisf(:,:) ) ! isf latent heat
	165	IF( iom_use('fwfisf' ) ) CALL iom_put( 'fwfisf' , fwfisf(:,:) ) ! isf mass flux (opposite sign)
[7788]	166
[9019]	167	! Diagnostics
	168	IF( iom_use('fwfisf3d') .OR. iom_use('qlatisf3d') .OR. iom_use('qhcisf3d') .OR. iom_use('qhcisf')) THEN
	169	ALLOCATE( zfwfisf3d(jpi,jpj,jpk) , zqhcisf3d(jpi,jpj,jpk) , zqlatisf3d(jpi,jpj,jpk) )
	170	ALLOCATE( zqhcisf2d(jpi,jpj) )
	171	!
	172	zfwfisf3d (:,:,:) = 0._wp ! 3d ice shelf melting (kg/m2/s)
	173	zqhcisf3d (:,:,:) = 0._wp ! 3d heat content flux (W/m2)
	174	zqlatisf3d(:,:,:) = 0._wp ! 3d ice shelf melting latent heat flux (W/m2)
	175	zqhcisf2d (:,:) = fwfisf(:,:) * zt_frz * rcp ! 2d heat content flux (W/m2)
	176	!
[7646]	177	DO jj = 1,jpj
	178	DO ji = 1,jpi
	179	ikt = misfkt(ji,jj)
	180	ikb = misfkb(ji,jj)
	181	DO jk = ikt, ikb - 1
[10922]	182	zfwfisf3d (ji,jj,jk) = zfwfisf3d (ji,jj,jk) + fwfisf (ji,jj) * r1_hisf_tbl(ji,jj) * e3t(ji,jj,jk,Kmm)
	183	zqhcisf3d (ji,jj,jk) = zqhcisf3d (ji,jj,jk) + zqhcisf2d(ji,jj) * r1_hisf_tbl(ji,jj) * e3t(ji,jj,jk,Kmm)
	184	zqlatisf3d(ji,jj,jk) = zqlatisf3d(ji,jj,jk) + qisf (ji,jj) * r1_hisf_tbl(ji,jj) * e3t(ji,jj,jk,Kmm)
[7646]	185	END DO
[8329]	186	zfwfisf3d (ji,jj,jk) = zfwfisf3d (ji,jj,jk) + fwfisf (ji,jj) * r1_hisf_tbl(ji,jj) &
[10922]	187	& * ralpha(ji,jj) * e3t(ji,jj,jk,Kmm)
[8329]	188	zqhcisf3d (ji,jj,jk) = zqhcisf3d (ji,jj,jk) + zqhcisf2d(ji,jj) * r1_hisf_tbl(ji,jj) &
[10922]	189	& * ralpha(ji,jj) * e3t(ji,jj,jk,Kmm)
[8329]	190	zqlatisf3d(ji,jj,jk) = zqlatisf3d(ji,jj,jk) + qisf (ji,jj) * r1_hisf_tbl(ji,jj) &
[10922]	191	& * ralpha(ji,jj) * e3t(ji,jj,jk,Kmm)
[7646]	192	END DO
	193	END DO
[9019]	194	!
[7646]	195	CALL iom_put('fwfisf3d' , zfwfisf3d (:,:,:))
	196	CALL iom_put('qlatisf3d', zqlatisf3d(:,:,:))
	197	CALL iom_put('qhcisf3d' , zqhcisf3d (:,:,:))
	198	CALL iom_put('qhcisf' , zqhcisf2d (:,: ))
[9019]	199	!
	200	DEALLOCATE( zfwfisf3d, zqhcisf3d, zqlatisf3d )
	201	DEALLOCATE( zqhcisf2d )
[7788]	202	ENDIF
	203	!
[9019]	204	ENDIF
[4666]	205
[9019]	206	IF( kt == nit000 ) THEN ! set the forcing field at nit000 - 1 !
	207	IF( ln_rstart .AND. & ! Restart: read in restart file
	208	& iom_varid( numror, 'fwf_isf_b', ldstop = .FALSE. ) > 0 ) THEN
	209	IF(lwp) WRITE(numout,*) ' nit000-1 isf tracer content forcing fields read in the restart file'
[9367]	210	CALL iom_get( numror, jpdom_autoglo, 'fwf_isf_b', fwfisf_b(:,:) , ldxios = lrxios ) ! before salt content isf_tsc trend
	211	CALL iom_get( numror, jpdom_autoglo, 'isf_sc_b' , risf_tsc_b(:,:,jp_sal), ldxios = lrxios ) ! before salt content isf_tsc trend
	212	CALL iom_get( numror, jpdom_autoglo, 'isf_hc_b' , risf_tsc_b(:,:,jp_tem), ldxios = lrxios ) ! before salt content isf_tsc trend
[9019]	213	ELSE
	214	fwfisf_b(:,:) = fwfisf(:,:)
	215	risf_tsc_b(:,:,:)= risf_tsc(:,:,:)
	216	ENDIF
	217	ENDIF
	218	!
	219	IF( lrst_oce ) THEN
	220	IF(lwp) WRITE(numout,*)
	221	IF(lwp) WRITE(numout,*) 'sbc : isf surface tracer content forcing fields written in ocean restart file ', &
	222	& 'at it= ', kt,' date= ', ndastp
	223	IF(lwp) WRITE(numout,*) '~~~~'
[9367]	224	IF( lwxios ) CALL iom_swap( cwxios_context )
	225	CALL iom_rstput( kt, nitrst, numrow, 'fwf_isf_b', fwfisf(:,:) , ldxios = lwxios )
	226	CALL iom_rstput( kt, nitrst, numrow, 'isf_hc_b' , risf_tsc(:,:,jp_tem), ldxios = lwxios )
	227	CALL iom_rstput( kt, nitrst, numrow, 'isf_sc_b' , risf_tsc(:,:,jp_sal), ldxios = lwxios )
	228	IF( lwxios ) CALL iom_swap( cxios_context )
[9019]	229	ENDIF
	230	!
	231	END SUBROUTINE sbc_isf
[5836]	232
[9019]	233
	234	INTEGER FUNCTION sbc_isf_alloc()
[4666]	235	!!----------------------------------------------------------------------
	236	!! * FUNCTION sbc_isf_rnf_alloc *
	237	!!----------------------------------------------------------------------
	238	sbc_isf_alloc = 0 ! set to zero if no array to be allocated
	239	IF( .NOT. ALLOCATED( qisf ) ) THEN
[5120]	240	ALLOCATE( risf_tsc(jpi,jpj,jpts), risf_tsc_b(jpi,jpj,jpts), qisf(jpi,jpj) , &
	241	& rhisf_tbl(jpi,jpj) , r1_hisf_tbl(jpi,jpj), rzisf_tbl(jpi,jpj) , &
	242	& ttbl(jpi,jpj) , stbl(jpi,jpj) , utbl(jpi,jpj) , &
	243	& vtbl(jpi, jpj) , risfLeff(jpi,jpj) , rhisf_tbl_0(jpi,jpj), &
	244	& ralpha(jpi,jpj) , misfkt(jpi,jpj) , misfkb(jpi,jpj) , &
[4946]	245	& STAT= sbc_isf_alloc )
[4666]	246	!
[10425]	247	CALL mpp_sum ( 'sbcisf', sbc_isf_alloc )
	248	IF( sbc_isf_alloc /= 0 ) CALL ctl_stop( 'STOP', 'sbc_isf_alloc: failed to allocate arrays.' )
[4666]	249	!
[9019]	250	ENDIF
	251	END FUNCTION
[4666]	252
[9019]	253
[10922]	254	SUBROUTINE sbc_isf_init( Kmm )
[6140]	255	!!---------------------------------------------------------------------
	256	!! * ROUTINE sbc_isf_init *
	257	!!
	258	!! ** Purpose : Initialisation of variables for iceshelf fluxes formulation
	259	!!
	260	!! ** Method : 4 parameterizations are available according to nn_isf
	261	!! nn_isf = 1 : Realistic ice_shelf formulation
	262	!! 2 : Beckmann & Goose parameterization
	263	!! 3 : Specified runoff in deptht (Mathiot & al. )
	264	!! 4 : specified fwf and heat flux forcing beneath the ice shelf
[5836]	265	!!----------------------------------------------------------------------
[10922]	266	INTEGER, INTENT(in) :: Kmm ! ocean time level indices
[6140]	267	INTEGER :: ji, jj, jk ! loop index
	268	INTEGER :: ik ! current level index
	269	INTEGER :: ikt, ikb ! top and bottom level of the isf boundary layer
	270	INTEGER :: inum, ierror
	271	INTEGER :: ios ! Local integer output status for namelist read
	272	REAL(wp) :: zhk
	273	CHARACTER(len=256) :: cvarzisf, cvarhisf ! name for isf file
	274	CHARACTER(LEN=32 ) :: cvarLeff ! variable name for efficient Length scale
[5836]	275	!!----------------------------------------------------------------------
[6140]	276	NAMELIST/namsbc_isf/ nn_isfblk, rn_hisf_tbl, rn_gammat0, rn_gammas0, nn_gammablk, nn_isf, &
	277	& sn_fwfisf, sn_rnfisf, sn_depmax_isf, sn_depmin_isf, sn_Leff_isf
	278	!!----------------------------------------------------------------------
	279
	280	REWIND( numnam_ref ) ! Namelist namsbc_rnf in reference namelist : Runoffs
	281	READ ( numnam_ref, namsbc_isf, IOSTAT = ios, ERR = 901)
[11822]	282	901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namsbc_isf in reference namelist' )
[6140]	283
	284	REWIND( numnam_cfg ) ! Namelist namsbc_rnf in configuration namelist : Runoffs
	285	READ ( numnam_cfg, namsbc_isf, IOSTAT = ios, ERR = 902 )
[11822]	286	902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namsbc_isf in configuration namelist' )
[6140]	287	IF(lwm) WRITE ( numond, namsbc_isf )
	288
[9168]	289	IF(lwp) WRITE(numout,*)
	290	IF(lwp) WRITE(numout,*) 'sbc_isf_init : heat flux of the ice shelf'
	291	IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~'
	292	IF(lwp) WRITE(numout,*) ' Namelist namsbc_isf :'
	293	IF(lwp) WRITE(numout,*) ' type ice shelf melting/freezing nn_isf = ', nn_isf
	294	IF(lwp) WRITE(numout,*) ' bulk formulation (nn_isf=1 only) nn_isfblk = ', nn_isfblk
	295	IF(lwp) WRITE(numout,*) ' thickness of the top boundary layer rn_hisf_tbl = ', rn_hisf_tbl
	296	IF(lwp) WRITE(numout,*) ' gamma formulation nn_gammablk = ', nn_gammablk
	297	IF(lwp) WRITE(numout,*) ' gammat coefficient rn_gammat0 = ', rn_gammat0
	298	IF(lwp) WRITE(numout,*) ' gammas coefficient rn_gammas0 = ', rn_gammas0
	299	IF(lwp) WRITE(numout,*) ' top drag coef. used (from namdrg_top) rn_Cd0 = ', r_Cdmin_top
	300
	301
	302	! 1 = presence of ISF 2 = bg03 parametrisation
	303	! 3 = rnf file for isf 4 = ISF fwf specified
	304	! option 1 and 4 need ln_isfcav = .true. (domzgr)
[6140]	305	!
	306	! Allocate public variable
	307	IF ( sbc_isf_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'sbc_isf : unable to allocate arrays' )
	308	!
	309	! initialisation
[9019]	310	qisf (:,:) = 0._wp ; fwfisf (:,:) = 0._wp
	311	risf_tsc(:,:,:) = 0._wp ; fwfisf_b(:,:) = 0._wp
[6140]	312	!
	313	! define isf tbl tickness, top and bottom indice
	314	SELECT CASE ( nn_isf )
	315	CASE ( 1 )
[9168]	316	IF(lwp) WRITE(numout,*)
	317	IF(lwp) WRITE(numout,*) ' ==>>> presence of under iceshelf seas (nn_isf = 1)'
[6140]	318	rhisf_tbl(:,:) = rn_hisf_tbl
[9019]	319	misfkt (:,:) = mikt(:,:) ! same indice for bg03 et cav => used in isfdiv
[9168]	320	!
[6140]	321	CASE ( 2 , 3 )
[7788]	322	IF( .NOT.l_isfcpl ) THEN
	323	ALLOCATE( sf_rnfisf(1), STAT=ierror )
	324	ALLOCATE( sf_rnfisf(1)%fnow(jpi,jpj,1), sf_rnfisf(1)%fdta(jpi,jpj,1,2) )
	325	CALL fld_fill( sf_rnfisf, (/ sn_rnfisf /), cn_dirisf, 'sbc_isf_init', 'read fresh water flux isf data', 'namsbc_isf' )
	326	ENDIF
	327	! read effective lenght (BG03)
[9168]	328	IF( nn_isf == 2 ) THEN
	329	IF(lwp) WRITE(numout,*)
	330	IF(lwp) WRITE(numout,*) ' ==>>> bg03 parametrisation (nn_isf = 2)'
[6140]	331	CALL iom_open( sn_Leff_isf%clname, inum )
	332	cvarLeff = TRIM(sn_Leff_isf%clvar)
	333	CALL iom_get( inum, jpdom_data, cvarLeff, risfLeff , 1)
	334	CALL iom_close(inum)
	335	!
	336	risfLeff = risfLeff*1000.0_wp !: convertion in m
[9168]	337	ELSE
	338	IF(lwp) WRITE(numout,*)
	339	IF(lwp) WRITE(numout,*) ' ==>>> rnf file for isf (nn_isf = 3)'
	340	ENDIF
[6140]	341	! read depth of the top and bottom of the isf top boundary layer (in this case, isf front depth and grounding line depth)
	342	CALL iom_open( sn_depmax_isf%clname, inum )
	343	cvarhisf = TRIM(sn_depmax_isf%clvar)
	344	CALL iom_get( inum, jpdom_data, cvarhisf, rhisf_tbl, 1) !: depth of deepest point of the ice shelf base
	345	CALL iom_close(inum)
	346	!
	347	CALL iom_open( sn_depmin_isf%clname, inum )
	348	cvarzisf = TRIM(sn_depmin_isf%clvar)
	349	CALL iom_get( inum, jpdom_data, cvarzisf, rzisf_tbl, 1) !: depth of shallowest point of the ice shelves base
	350	CALL iom_close(inum)
	351	!
	352	rhisf_tbl(:,:) = rhisf_tbl(:,:) - rzisf_tbl(:,:) !: tickness isf boundary layer
	353
	354	!! compute first level of the top boundary layer
	355	DO ji = 1, jpi
	356	DO jj = 1, jpj
	357	ik = 2
[9019]	358	!!gm potential bug: use gdepw_0 not _n
[10922]	359	DO WHILE ( ik <= mbkt(ji,jj) .AND. gdepw(ji,jj,ik,Kmm) < rzisf_tbl(ji,jj) ) ; ik = ik + 1 ; END DO
[6140]	360	misfkt(ji,jj) = ik-1
	361	END DO
	362	END DO
[9168]	363	!
[6140]	364	CASE ( 4 )
[9168]	365	IF(lwp) WRITE(numout,*)
	366	IF(lwp) WRITE(numout,*) ' ==>>> specified fresh water flux in ISF (nn_isf = 4)'
[6140]	367	! as in nn_isf == 1
	368	rhisf_tbl(:,:) = rn_hisf_tbl
[9019]	369	misfkt (:,:) = mikt(:,:) ! same indice for bg03 et cav => used in isfdiv
[9168]	370	!
[6140]	371	! load variable used in fldread (use for temporal interpolation of isf fwf forcing)
[7788]	372	IF( .NOT.l_isfcpl ) THEN
	373	ALLOCATE( sf_fwfisf(1), STAT=ierror )
	374	ALLOCATE( sf_fwfisf(1)%fnow(jpi,jpj,1), sf_fwfisf(1)%fdta(jpi,jpj,1,2) )
	375	CALL fld_fill( sf_fwfisf, (/ sn_fwfisf /), cn_dirisf, 'sbc_isf_init', 'read fresh water flux isf data', 'namsbc_isf' )
	376	ENDIF
[9168]	377	!
	378	CASE DEFAULT
	379	CALL ctl_stop( 'sbc_isf_init: wrong value of nn_isf' )
[6140]	380	END SELECT
	381
	382	rhisf_tbl_0(:,:) = rhisf_tbl(:,:)
	383
	384	! compute bottom level of isf tbl and thickness of tbl below the ice shelf
	385	DO jj = 1,jpj
	386	DO ji = 1,jpi
	387	ikt = misfkt(ji,jj)
	388	ikb = misfkt(ji,jj)
	389	! thickness of boundary layer at least the top level thickness
[10922]	390	rhisf_tbl(ji,jj) = MAX(rhisf_tbl_0(ji,jj), e3t(ji,jj,ikt,Kmm))
[6140]	391
	392	! determine the deepest level influenced by the boundary layer
	393	DO jk = ikt+1, mbkt(ji,jj)
[10922]	394	IF( (SUM(e3t(ji,jj,ikt:jk-1,Kmm)) < rhisf_tbl(ji,jj)) .AND. (tmask(ji,jj,jk) == 1) ) ikb = jk
[6140]	395	END DO
[10922]	396	rhisf_tbl(ji,jj) = MIN(rhisf_tbl(ji,jj), SUM(e3t(ji,jj,ikt:ikb,Kmm))) ! limit the tbl to water thickness.
[6140]	397	misfkb(ji,jj) = ikb ! last wet level of the tbl
	398	r1_hisf_tbl(ji,jj) = 1._wp / rhisf_tbl(ji,jj)
	399
[10922]	400	zhk = SUM( e3t(ji, jj, ikt:ikb - 1,Kmm)) * r1_hisf_tbl(ji,jj) ! proportion of tbl cover by cell from ikt to ikb - 1
	401	ralpha(ji,jj) = rhisf_tbl(ji,jj) * (1._wp - zhk ) / e3t(ji,jj,ikb,Kmm) ! proportion of bottom cell influenced by boundary layer
[6140]	402	END DO
	403	END DO
	404
[9367]	405	IF( lwxios ) THEN
	406	CALL iom_set_rstw_var_active('fwf_isf_b')
	407	CALL iom_set_rstw_var_active('isf_hc_b')
	408	CALL iom_set_rstw_var_active('isf_sc_b')
	409	ENDIF
	410
	411
[6140]	412	END SUBROUTINE sbc_isf_init
	413
[9019]	414
[10922]	415	SUBROUTINE sbc_isf_bg03( kt, Kmm )
[6140]	416	!!---------------------------------------------------------------------
	417	!! * ROUTINE sbc_isf_bg03 *
[5836]	418	!!
[6140]	419	!! ** Purpose : add net heat and fresh water flux from ice shelf melting
	420	!! into the adjacent ocean
[5836]	421	!!
[6140]	422	!! ** Method : See reference
	423	!!
	424	!! ** Reference : Beckmann and Goosse (2003), "A parameterization of ice shelf-ocean
	425	!! interaction for climate models", Ocean Modelling 5(2003) 157-170.
	426	!! (hereafter BG)
[9019]	427	!! History : 06-02 (C. Wang) Original code
[5836]	428	!!----------------------------------------------------------------------
	429	INTEGER, INTENT ( in ) :: kt
[10922]	430	INTEGER, INTENT ( in ) :: Kmm ! ocean time level indices
[5836]	431	!
[6140]	432	INTEGER :: ji, jj, jk ! dummy loop index
	433	INTEGER :: ik ! current level
	434	REAL(wp) :: zt_sum ! sum of the temperature between 200m and 600m
	435	REAL(wp) :: zt_ave ! averaged temperature between 200m and 600m
	436	REAL(wp) :: zt_frz ! freezing point temperature at depth z
	437	REAL(wp) :: zpress ! pressure to compute the freezing point in depth
	438	!!----------------------------------------------------------------------
	439	!
	440	DO ji = 1, jpi
	441	DO jj = 1, jpj
	442	ik = misfkt(ji,jj)
	443	!! Initialize arrays to 0 (each step)
	444	zt_sum = 0.e0_wp
	445	IF ( ik > 1 ) THEN
	446	! 1. -----------the average temperature between 200m and 600m ---------------------
	447	DO jk = misfkt(ji,jj),misfkb(ji,jj)
	448	! Calculate freezing temperature
[10922]	449	zpress = gravrau0gdept(ji,jj,ik,Kmm)*1.e-04
[6140]	450	CALL eos_fzp(stbl(ji,jj), zt_frz, zpress)
[10922]	451	zt_sum = zt_sum + (ts(ji,jj,jk,jp_tem,Kmm)-zt_frz) * e3t(ji,jj,jk,Kmm) * tmask(ji,jj,jk) ! sum temp
[6140]	452	END DO
	453	zt_ave = zt_sum/rhisf_tbl(ji,jj) ! calcul mean value
	454	! 2. ------------Net heat flux and fresh water flux due to the ice shelf
	455	! For those corresponding to zonal boundary
	456	qisf(ji,jj) = - rau0 * rcp * rn_gammat0 * risfLeff(ji,jj) * e1t(ji,jj) * zt_ave &
	457	& * r1_e1e2t(ji,jj) * tmask(ji,jj,jk)
[4666]	458
[9935]	459	fwfisf(ji,jj) = qisf(ji,jj) / rLfusisf !fresh water flux kg/(m2s)
[6140]	460	fwfisf(ji,jj) = fwfisf(ji,jj) * ( soce / stbl(ji,jj) )
	461	!add to salinity trend
	462	ELSE
[9019]	463	qisf(ji,jj) = 0._wp ; fwfisf(ji,jj) = 0._wp
[6140]	464	END IF
	465	END DO
	466	END DO
[5836]	467	!
[4666]	468	END SUBROUTINE sbc_isf_bg03
	469
[9019]	470
[10922]	471	SUBROUTINE sbc_isf_cav( kt, Kmm )
[4666]	472	!!---------------------------------------------------------------------
	473	!! * ROUTINE sbc_isf_cav *
	474	!!
	475	!! ** Purpose : handle surface boundary condition under ice shelf
	476	!!
	477	!! ** Method : -
	478	!!
	479	!! ** Action : utau, vtau : remain unchanged
	480	!! taum, wndm : remain unchanged
	481	!! qns : update heat flux below ice shelf
	482	!! emp, emps : update freshwater flux below ice shelf
	483	!!---------------------------------------------------------------------
[9019]	484	INTEGER, INTENT(in) :: kt ! ocean time step
[10922]	485	INTEGER, INTENT(in) :: Kmm ! ocean time level index
[4666]	486	!
[6140]	487	INTEGER :: ji, jj ! dummy loop indices
	488	INTEGER :: nit
[9019]	489	LOGICAL :: lit
[4666]	490	REAL(wp) :: zlamb1, zlamb2, zlamb3
	491	REAL(wp) :: zeps1,zeps2,zeps3,zeps4,zeps6,zeps7
	492	REAL(wp) :: zaqe,zbqe,zcqe,zaqer,zdis,zsfrz,zcfac
[6140]	493	REAL(wp) :: zeps = 1.e-20_wp
	494	REAL(wp) :: zerr
[9019]	495	REAL(wp), DIMENSION(jpi,jpj) :: zfrz
	496	REAL(wp), DIMENSION(jpi,jpj) :: zgammat, zgammas
	497	REAL(wp), DIMENSION(jpi,jpj) :: zfwflx, zhtflx, zhtflx_b
[4666]	498	!!---------------------------------------------------------------------
[9124]	499	!
[6140]	500	! coeficient for linearisation of potential tfreez
	501	! Crude approximation for pressure (but commonly used)
[9728]	502	IF ( l_useCT ) THEN ! linearisation from Jourdain et al. (2017)
	503	zlamb1 =-0.0564_wp
	504	zlamb2 = 0.0773_wp
	505	zlamb3 =-7.8633e-8 * grav * rau0
	506	ELSE ! linearisation from table 4 (Asay-Davis et al., 2015)
	507	zlamb1 =-0.0573_wp
	508	zlamb2 = 0.0832_wp
	509	zlamb3 =-7.53e-8 * grav * rau0
	510	ENDIF
[4666]	511	!
[6140]	512	! initialisation
	513	zgammat(:,:) = rn_gammat0 ; zgammas (:,:) = rn_gammas0
	514	zhtflx (:,:) = 0.0_wp ; zhtflx_b(:,:) = 0.0_wp
	515	zfwflx (:,:) = 0.0_wp
[4666]	516
[6140]	517	! compute ice shelf melting
	518	nit = 1 ; lit = .TRUE.
	519	DO WHILE ( lit ) ! maybe just a constant number of iteration as in blk_core is fine
	520	SELECT CASE ( nn_isfblk )
	521	CASE ( 1 ) ! ISOMIP formulation (2 equations) for volume flux (Hunter et al., 2006)
	522	! Calculate freezing temperature
	523	CALL eos_fzp( stbl(:,:), zfrz(:,:), risfdep(:,:) )
[4666]	524
[6140]	525	! compute gammat every where (2d)
[10922]	526	CALL sbc_isf_gammats(zgammat, zgammas, zhtflx, zfwflx, Kmm)
[6140]	527
	528	! compute upward heat flux zhtflx and upward water flux zwflx
	529	DO jj = 1, jpj
	530	DO ji = 1, jpi
	531	zhtflx(ji,jj) = zgammat(ji,jj)rcprau0*(ttbl(ji,jj)-zfrz(ji,jj))
[9935]	532	zfwflx(ji,jj) = - zhtflx(ji,jj)/rLfusisf
[6140]	533	END DO
	534	END DO
[4666]	535
[6140]	536	! Compute heat flux and upward fresh water flux
	537	qisf (:,:) = - zhtflx(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:)
	538	fwfisf(:,:) = zfwflx(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:)
[5721]	539
[6140]	540	CASE ( 2 ) ! ISOMIP+ formulation (3 equations) for volume flux (Asay-Davis et al., 2015)
	541	! compute gammat every where (2d)
[10922]	542	CALL sbc_isf_gammats(zgammat, zgammas, zhtflx, zfwflx, Kmm)
[4666]	543
[6140]	544	! compute upward heat flux zhtflx and upward water flux zwflx
	545	! Resolution of a 2d equation from equation 21, 22 and 23 to find Sb (Asay-Davis et al., 2015)
	546	DO jj = 1, jpj
	547	DO ji = 1, jpi
	548	! compute coeficient to solve the 2nd order equation
	549	zeps1 = rcprau0zgammat(ji,jj)
[9935]	550	zeps2 = rLfusisfrau0zgammas(ji,jj)
	551	zeps3 = rhoisfrcpisfrkappa/MAX(risfdep(ji,jj),zeps)
[6140]	552	zeps4 = zlamb2+zlamb3*risfdep(ji,jj)
	553	zeps6 = zeps4-ttbl(ji,jj)
	554	zeps7 = zeps4-tsurf
	555	zaqe = zlamb1 * (zeps1 + zeps3)
	556	zaqer = 0.5_wp/MIN(zaqe,-zeps)
	557	zbqe = zeps1zeps6+zeps3zeps7-zeps2
	558	zcqe = zeps2*stbl(ji,jj)
	559	zdis = zbqezbqe-4.0_wpzaqe*zcqe
	560
	561	! Presumably zdis can never be negative because gammas is very small compared to gammat
	562	! compute s freeze
	563	zsfrz=(-zbqe-SQRT(zdis))*zaqer
	564	IF ( zsfrz < 0.0_wp ) zsfrz=(-zbqe+SQRT(zdis))*zaqer
	565
	566	! compute t freeze (eq. 22)
	567	zfrz(ji,jj)=zeps4+zlamb1*zsfrz
	568
	569	! zfwflx is upward water flux
	570	! zhtflx is upward heat flux (out of ocean)
	571	! compute the upward water and heat flux (eq. 28 and eq. 29)
	572	zfwflx(ji,jj) = rau0 * zgammas(ji,jj) * (zsfrz-stbl(ji,jj)) / MAX(zsfrz,zeps)
	573	zhtflx(ji,jj) = zgammat(ji,jj) * rau0 * rcp * (ttbl(ji,jj) - zfrz(ji,jj) )
	574	END DO
[4666]	575	END DO
	576
[6140]	577	! compute heat and water flux
	578	qisf (:,:) = - zhtflx(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:)
	579	fwfisf(:,:) = zfwflx(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:)
[4666]	580
[6140]	581	END SELECT
[4666]	582
[6140]	583	! define if we need to iterate (nn_gammablk 0/1 do not need iteration)
	584	IF ( nn_gammablk < 2 ) THEN ; lit = .FALSE.
	585	ELSE
	586	! check total number of iteration
	587	IF (nit >= 100) THEN ; CALL ctl_stop( 'STOP', 'sbc_isf_hol99 : too many iteration ...' )
	588	ELSE ; nit = nit + 1
	589	END IF
[4666]	590
[6140]	591	! compute error between 2 iterations
	592	! if needed save gammat and compute zhtflx_b for next iteration
	593	zerr = MAXVAL(ABS(zhtflx-zhtflx_b))
	594	IF ( zerr <= 0.01_wp ) THEN ; lit = .FALSE.
	595	ELSE ; zhtflx_b(:,:) = zhtflx(:,:)
	596	END IF
	597	END IF
	598	END DO
[5302]	599	!
[6140]	600	CALL iom_put('isfgammat', zgammat)
	601	CALL iom_put('isfgammas', zgammas)
	602	!
[4666]	603	END SUBROUTINE sbc_isf_cav
	604
[7646]	605
[10922]	606	SUBROUTINE sbc_isf_gammats(pgt, pgs, pqhisf, pqwisf, Kmm )
[4666]	607	!!----------------------------------------------------------------------
	608	!! ** Purpose : compute the coefficient echange for heat flux
	609	!!
	610	!! ** Method : gamma assume constant or depends of u* and stability
	611	!!
	612	!! ** References : Holland and Jenkins, 1999, JPO, p1787-1800, eq 14
	613	!! Jenkins et al., 2010, JPO, p2298-2312
	614	!!---------------------------------------------------------------------
[9124]	615	REAL(wp), DIMENSION(:,:), INTENT( out) :: pgt , pgs !
	616	REAL(wp), DIMENSION(:,:), INTENT(in ) :: pqhisf, pqwisf !
[10922]	617	INTEGER , INTENT(in ) :: Kmm ! ocean time level indices
[6140]	618	!
	619	INTEGER :: ji, jj ! loop index
[9124]	620	INTEGER :: ikt ! local integer
[4666]	621	REAL(wp) :: zdku, zdkv ! U, V shear
	622	REAL(wp) :: zPr, zSc, zRc ! Prandtl, Scmidth and Richardson number
	623	REAL(wp) :: zmob, zmols ! Monin Obukov length, coriolis factor at T point
	624	REAL(wp) :: zbuofdep, zhnu ! Bouyancy length scale, sublayer tickness
	625	REAL(wp) :: zhmax ! limitation of mol
	626	REAL(wp) :: zetastar ! stability parameter
	627	REAL(wp) :: zgmolet, zgmoles, zgturb ! contribution of modelecular sublayer and turbulence
	628	REAL(wp) :: zcoef ! temporary coef
[4946]	629	REAL(wp) :: zdep
[6140]	630	REAL(wp) :: zeps = 1.0e-20_wp
	631	REAL(wp), PARAMETER :: zxsiN = 0.052_wp ! dimensionless constant
	632	REAL(wp), PARAMETER :: znu = 1.95e-6_wp ! kinamatic viscosity of sea water (m2.s-1)
[4946]	633	REAL(wp), DIMENSION(2) :: zts, zab
[9019]	634	REAL(wp), DIMENSION(jpi,jpj) :: zustar ! U, V at T point and friction velocity
[4666]	635	!!---------------------------------------------------------------------
	636	!
[6140]	637	SELECT CASE ( nn_gammablk )
	638	CASE ( 0 ) ! gamma is constant (specified in namelist)
	639	!! ISOMIP formulation (Hunter et al, 2006)
	640	pgt(:,:) = rn_gammat0
	641	pgs(:,:) = rn_gammas0
[4666]	642
[6140]	643	CASE ( 1 ) ! gamma is assume to be proportional to u*
	644	!! Jenkins et al., 2010, JPO, p2298-2312
	645	!! Adopted by Asay-Davis et al. (2015)
[9124]	646	!! compute ustar (eq. 24)
	647	!!gm NB use pCdU here so that it will incorporate local boost of Cd0 and log layer case :
	648	!! zustar(:,:) = SQRT( rCdU_top(:,:) * SQRT(utbl(:,:) * utbl(:,:) + vtbl(:,:) * vtbl(:,:) + r_ke0_top) )
	649	!! or better : compute ustar in zdfdrg and use it here as well as in TKE, GLS and Co
	650	!!
	651	!! ===>>>> GM to be done this chrismas
	652	!!
	653	!!gm end
[9019]	654	zustar(:,:) = SQRT( r_Cdmin_top * (utbl(:,:) * utbl(:,:) + vtbl(:,:) * vtbl(:,:) + r_ke0_top) )
[4666]	655
[6140]	656	!! Compute gammats
	657	pgt(:,:) = zustar(:,:) * rn_gammat0
	658	pgs(:,:) = zustar(:,:) * rn_gammas0
	659
	660	CASE ( 2 ) ! gamma depends of stability of boundary layer
	661	!! Holland and Jenkins, 1999, JPO, p1787-1800, eq 14
	662	!! as MOL depends of flux and flux depends of MOL, best will be iteration (TO DO)
	663	!! compute ustar
[9019]	664	zustar(:,:) = SQRT( r_Cdmin_top * (utbl(:,:) * utbl(:,:) + vtbl(:,:) * vtbl(:,:) + r_ke0_top) )
[4666]	665
[6140]	666	!! compute Pr and Sc number (can be improved)
	667	zPr = 13.8_wp
	668	zSc = 2432.0_wp
[4666]	669
[6140]	670	!! compute gamma mole
	671	zgmolet = 12.5_wp * zPr ** (2.0/3.0) - 6.0_wp
	672	zgmoles = 12.5_wp * zSc ** (2.0/3.0) - 6.0_wp
[4666]	673
[6140]	674	!! compute gamma
[9019]	675	DO ji = 2, jpi
	676	DO jj = 2, jpj
[6140]	677	ikt = mikt(ji,jj)
[4666]	678
[9019]	679	IF( zustar(ji,jj) == 0._wp ) THEN ! only for kt = 1 I think
[6140]	680	pgt = rn_gammat0
	681	pgs = rn_gammas0
	682	ELSE
	683	!! compute Rc number (as done in zdfric.F90)
[9019]	684	!!gm better to do it like in the new zdfric.F90 i.e. avm weighted Ri computation
	685	!!gm moreover, use Max(rn2,0) to take care of static instabilities....
[10922]	686	zcoef = 0.5_wp / e3w(ji,jj,ikt+1,Kmm)
[6140]	687	! ! shear of horizontal velocity
[10922]	688	zdku = zcoef * ( uu(ji-1,jj ,ikt ,Kmm) + uu(ji,jj,ikt ,Kmm) &
	689	& -uu(ji-1,jj ,ikt+1,Kmm) - uu(ji,jj,ikt+1,Kmm) )
	690	zdkv = zcoef * ( vv(ji ,jj-1,ikt ,Kmm) + vv(ji,jj,ikt ,Kmm) &
	691	& -vv(ji ,jj-1,ikt+1,Kmm) - vv(ji,jj,ikt+1,Kmm) )
[6140]	692	! ! richardson number (minimum value set to zero)
	693	zRc = rn2(ji,jj,ikt+1) / MAX( zdkuzdku + zdkvzdkv, zeps )
	694
	695	!! compute bouyancy
	696	zts(jp_tem) = ttbl(ji,jj)
	697	zts(jp_sal) = stbl(ji,jj)
[10922]	698	zdep = gdepw(ji,jj,ikt,Kmm)
[4946]	699	!
[10954]	700	CALL eos_rab( zts, zdep, zab, Kmm )
[6140]	701	!
	702	!! compute length scale
	703	zbuofdep = grav * ( zab(jp_tem) * pqhisf(ji,jj) - zab(jp_sal) * pqwisf(ji,jj) ) !!!!!!!!!!!!!!!!!!!!!!!!!!!!
[4666]	704
[6140]	705	!! compute Monin Obukov Length
	706	! Maximum boundary layer depth
[10922]	707	zhmax = gdept(ji,jj,mbkt(ji,jj),Kmm) - gdepw(ji,jj,mikt(ji,jj),Kmm) -0.001_wp
[6140]	708	! Compute Monin obukhov length scale at the surface and Ekman depth:
	709	zmob = zustar(ji,jj) ** 3 / (vkarmn * (zbuofdep + zeps))
	710	zmols = SIGN(1._wp, zmob) * MIN(ABS(zmob), zhmax) * tmask(ji,jj,ikt)
[4666]	711
[6140]	712	!! compute eta* (stability parameter)
[7646]	713	zetastar = 1._wp / ( SQRT(1._wp + MAX(zxsiN * zustar(ji,jj) / ( ABS(ff_f(ji,jj)) * zmols * zRc ), 0._wp)))
[4666]	714
[6140]	715	!! compute the sublayer thickness
	716	zhnu = 5 * znu / zustar(ji,jj)
[4666]	717
[6140]	718	!! compute gamma turb
[7646]	719	zgturb = 1._wp / vkarmn * LOG(zustar(ji,jj) * zxsiN * zetastar * zetastar / ( ABS(ff_f(ji,jj)) * zhnu )) &
[6140]	720	& + 1._wp / ( 2 * zxsiN * zetastar ) - 1._wp / vkarmn
	721
	722	!! compute gammats
	723	pgt(ji,jj) = zustar(ji,jj) / (zgturb + zgmolet)
	724	pgs(ji,jj) = zustar(ji,jj) / (zgturb + zgmoles)
[4666]	725	END IF
[6140]	726	END DO
	727	END DO
[10425]	728	CALL lbc_lnk_multi( 'sbcisf', pgt, 'T', 1., pgs, 'T', 1.)
[6140]	729	END SELECT
[5836]	730	!
[6140]	731	END SUBROUTINE sbc_isf_gammats
[4666]	732
[9019]	733
[10922]	734	SUBROUTINE sbc_isf_tbl( pvarin, pvarout, cd_ptin, Kmm )
[4666]	735	!!----------------------------------------------------------------------
	736	!! * SUBROUTINE sbc_isf_tbl *
	737	!!
[6140]	738	!! ** Purpose : compute mean T/S/U/V in the boundary layer at T- point
[4666]	739	!!
	740	!!----------------------------------------------------------------------
[9019]	741	REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: pvarin
	742	REAL(wp), DIMENSION(:,:) , INTENT( out) :: pvarout
	743	CHARACTER(len=1), INTENT(in ) :: cd_ptin ! point of variable in/out
[10922]	744	INTEGER , INTENT(in ) :: Kmm ! ocean time level indices
[6140]	745	!
[9019]	746	INTEGER :: ji, jj, jk ! loop index
	747	INTEGER :: ikt, ikb ! top and bottom index of the tbl
	748	REAL(wp) :: ze3, zhk
	749	REAL(wp), DIMENSION(jpi,jpj) :: zhisf_tbl ! thickness of the tbl
[6140]	750	!!----------------------------------------------------------------------
[4666]	751
[6140]	752	! initialisation
	753	pvarout(:,:)=0._wp
	754
	755	SELECT CASE ( cd_ptin )
	756	CASE ( 'U' ) ! compute U in the top boundary layer at T- point
	757	DO jj = 1,jpj
	758	DO ji = 1,jpi
	759	ikt = miku(ji,jj) ; ikb = miku(ji,jj)
	760	! thickness of boundary layer at least the top level thickness
[10922]	761	zhisf_tbl(ji,jj) = MAX( rhisf_tbl_0(ji,jj) , e3u(ji,jj,ikt,Kmm) )
[4666]	762
[6140]	763	! determine the deepest level influenced by the boundary layer
	764	DO jk = ikt+1, mbku(ji,jj)
[10922]	765	IF ( (SUM(e3u(ji,jj,ikt:jk-1,Kmm)) < zhisf_tbl(ji,jj)) .AND. (umask(ji,jj,jk) == 1) ) ikb = jk
[6140]	766	END DO
[10922]	767	zhisf_tbl(ji,jj) = MIN(zhisf_tbl(ji,jj), SUM(e3u(ji,jj,ikt:ikb,Kmm))) ! limit the tbl to water thickness.
[4666]	768
[6140]	769	! level fully include in the ice shelf boundary layer
	770	DO jk = ikt, ikb - 1
[10922]	771	ze3 = e3u(ji,jj,jk,Kmm)
[6140]	772	pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,jk) / zhisf_tbl(ji,jj) * ze3
	773	END DO
[4666]	774
[6140]	775	! level partially include in ice shelf boundary layer
[10922]	776	zhk = SUM( e3u(ji, jj, ikt:ikb - 1,Kmm)) / zhisf_tbl(ji,jj)
[6140]	777	pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,ikb) * (1._wp - zhk)
	778	END DO
	779	END DO
[9019]	780	DO jj = 2, jpj
	781	DO ji = 2, jpi
	782	!!gm a wet-point only average should be used here !!!
[6140]	783	pvarout(ji,jj) = 0.5_wp * (pvarout(ji,jj) + pvarout(ji-1,jj))
	784	END DO
	785	END DO
[10425]	786	CALL lbc_lnk('sbcisf', pvarout,'T',-1.)
[6140]	787
	788	CASE ( 'V' ) ! compute V in the top boundary layer at T- point
	789	DO jj = 1,jpj
	790	DO ji = 1,jpi
	791	ikt = mikv(ji,jj) ; ikb = mikv(ji,jj)
	792	! thickness of boundary layer at least the top level thickness
[10922]	793	zhisf_tbl(ji,jj) = MAX(rhisf_tbl_0(ji,jj), e3v(ji,jj,ikt,Kmm))
[4666]	794
[6140]	795	! determine the deepest level influenced by the boundary layer
	796	DO jk = ikt+1, mbkv(ji,jj)
[10922]	797	IF ( (SUM(e3v(ji,jj,ikt:jk-1,Kmm)) < zhisf_tbl(ji,jj)) .AND. (vmask(ji,jj,jk) == 1) ) ikb = jk
[6140]	798	END DO
[10922]	799	zhisf_tbl(ji,jj) = MIN(zhisf_tbl(ji,jj), SUM(e3v(ji,jj,ikt:ikb,Kmm))) ! limit the tbl to water thickness.
[4666]	800
[6140]	801	! level fully include in the ice shelf boundary layer
	802	DO jk = ikt, ikb - 1
[10922]	803	ze3 = e3v(ji,jj,jk,Kmm)
[6140]	804	pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,jk) / zhisf_tbl(ji,jj) * ze3
	805	END DO
[4666]	806
[6140]	807	! level partially include in ice shelf boundary layer
[10922]	808	zhk = SUM( e3v(ji, jj, ikt:ikb - 1,Kmm)) / zhisf_tbl(ji,jj)
[6140]	809	pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,ikb) * (1._wp - zhk)
	810	END DO
	811	END DO
[9019]	812	DO jj = 2, jpj
	813	DO ji = 2, jpi
	814	!!gm a wet-point only average should be used here !!!
[6140]	815	pvarout(ji,jj) = 0.5_wp * (pvarout(ji,jj) + pvarout(ji,jj-1))
	816	END DO
	817	END DO
[10425]	818	CALL lbc_lnk('sbcisf', pvarout,'T',-1.)
[6140]	819
	820	CASE ( 'T' ) ! compute T in the top boundary layer at T- point
	821	DO jj = 1,jpj
	822	DO ji = 1,jpi
	823	ikt = misfkt(ji,jj)
	824	ikb = misfkb(ji,jj)
	825
[4666]	826	! level fully include in the ice shelf boundary layer
	827	DO jk = ikt, ikb - 1
[10922]	828	ze3 = e3t(ji,jj,jk,Kmm)
[6140]	829	pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,jk) * r1_hisf_tbl(ji,jj) * ze3
[4666]	830	END DO
	831
	832	! level partially include in ice shelf boundary layer
[10922]	833	zhk = SUM( e3t(ji, jj, ikt:ikb - 1,Kmm)) * r1_hisf_tbl(ji,jj)
[6140]	834	pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,ikb) * (1._wp - zhk)
	835	END DO
[4666]	836	END DO
[6140]	837	END SELECT
[9019]	838	!
[6140]	839	! mask mean tbl value
	840	pvarout(:,:) = pvarout(:,:) * ssmask(:,:)
[5836]	841	!
[4666]	842	END SUBROUTINE sbc_isf_tbl
	843
	844
[10922]	845	SUBROUTINE sbc_isf_div( phdivn, Kmm )
[4666]	846	!!----------------------------------------------------------------------
	847	!! * SUBROUTINE sbc_isf_div *
	848	!!
	849	!! ** Purpose : update the horizontal divergence with the runoff inflow
	850	!!
	851	!! ** Method :
	852	!! CAUTION : risf_tsc(:,:,jp_sal) is negative (outflow) increase the
	853	!! divergence and expressed in m/s
	854	!!
	855	!! ** Action : phdivn decreased by the runoff inflow
	856	!!----------------------------------------------------------------------
[6140]	857	REAL(wp), DIMENSION(:,:,:), INTENT( inout ) :: phdivn ! horizontal divergence
[10922]	858	INTEGER , INTENT( in ) :: Kmm ! ocean time level indices
[6140]	859	!
[4946]	860	INTEGER :: ji, jj, jk ! dummy loop indices
	861	INTEGER :: ikt, ikb
[6140]	862	REAL(wp) :: zhk
	863	REAL(wp) :: zfact ! local scalar
[4666]	864	!!----------------------------------------------------------------------
	865	!
	866	zfact = 0.5_wp
	867	!
[6140]	868	IF(.NOT.ln_linssh ) THEN ! need to re compute level distribution of isf fresh water
[4666]	869	DO jj = 1,jpj
	870	DO ji = 1,jpi
	871	ikt = misfkt(ji,jj)
	872	ikb = misfkt(ji,jj)
	873	! thickness of boundary layer at least the top level thickness
[10922]	874	rhisf_tbl(ji,jj) = MAX(rhisf_tbl_0(ji,jj), e3t(ji,jj,ikt,Kmm))
[4666]	875
	876	! determine the deepest level influenced by the boundary layer
	877	DO jk = ikt, mbkt(ji,jj)
[10922]	878	IF ( (SUM(e3t(ji,jj,ikt:jk-1,Kmm)) .LT. rhisf_tbl(ji,jj)) .AND. (tmask(ji,jj,jk) == 1) ) ikb = jk
[4666]	879	END DO
[10922]	880	rhisf_tbl(ji,jj) = MIN(rhisf_tbl(ji,jj), SUM(e3t(ji,jj,ikt:ikb,Kmm))) ! limit the tbl to water thickness.
[4666]	881	misfkb(ji,jj) = ikb ! last wet level of the tbl
	882	r1_hisf_tbl(ji,jj) = 1._wp / rhisf_tbl(ji,jj)
[4726]	883
[10922]	884	zhk = SUM( e3t(ji, jj, ikt:ikb - 1,Kmm)) * r1_hisf_tbl(ji,jj) ! proportion of tbl cover by cell from ikt to ikb - 1
	885	ralpha(ji,jj) = rhisf_tbl(ji,jj) * (1._wp - zhk ) / e3t(ji,jj,ikb,Kmm) ! proportion of bottom cell influenced by boundary layer
[4666]	886	END DO
	887	END DO
[6140]	888	END IF
[4666]	889	!
[6140]	890	!== ice shelf melting distributed over several levels ==!
[4666]	891	DO jj = 1,jpj
	892	DO ji = 1,jpi
	893	ikt = misfkt(ji,jj)
	894	ikb = misfkb(ji,jj)
	895	! level fully include in the ice shelf boundary layer
	896	DO jk = ikt, ikb - 1
[4946]	897	phdivn(ji,jj,jk) = phdivn(ji,jj,jk) + ( fwfisf(ji,jj) + fwfisf_b(ji,jj) ) &
[6140]	898	& * r1_hisf_tbl(ji,jj) * r1_rau0 * zfact
[4666]	899	END DO
	900	! level partially include in ice shelf boundary layer
[4946]	901	phdivn(ji,jj,ikb) = phdivn(ji,jj,ikb) + ( fwfisf(ji,jj) &
[6140]	902	& + fwfisf_b(ji,jj) ) * r1_hisf_tbl(ji,jj) * r1_rau0 * zfact * ralpha(ji,jj)
[4666]	903	END DO
	904	END DO
	905	!
	906	END SUBROUTINE sbc_isf_div
[9019]	907
[6140]	908	!!======================================================================
[4666]	909	END MODULE sbcisf

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