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limthd_dh.F90 in branches/dev_r4028_CNRS_LIM3_MV2014/NEMOGCM/NEMO/LIM_SRC_3 – NEMO

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source: branches/dev_r4028_CNRS_LIM3_MV2014/NEMOGCM/NEMO/LIM_SRC_3/limthd_dh.F90 @ 4506

Last change on this file since 4506 was 4506, checked in by vancop, 10 years ago
[Heat conservation in LIM3, part HC1 (LIM_SRC_3_HC17)]
Property svn:keywords set to `Id`
File size: 38.5 KB

Rev	Line
[825]	1	MODULE limthd_dh
[1572]	2	!!======================================================================
	3	!! * MODULE limthd_dh *
	4	!! LIM-3 : thermodynamic growth and decay of the ice
	5	!!======================================================================
	6	!! History : LIM ! 2003-05 (M. Vancoppenolle) Original code in 1D
	7	!! ! 2005-06 (M. Vancoppenolle) 3D version
[4045]	8	!! 3.2 ! 2009-07 (M. Vancoppenolle, Y. Aksenov, G. Madec) bug correction in rdm_snw & rdm_ice
[3625]	9	!! 3.4 ! 2011-02 (G. Madec) dynamical allocation
	10	!! 3.5 ! 2012-10 (G. Madec & co) salt flux + bug fixes
[1572]	11	!!----------------------------------------------------------------------
[825]	12	#if defined key_lim3
[834]	13	!!----------------------------------------------------------------------
	14	!! 'key_lim3' LIM3 sea-ice model
	15	!!----------------------------------------------------------------------
[3625]	16	!! lim_thd_dh : vertical accr./abl. and lateral ablation of sea ice
[825]	17	!!----------------------------------------------------------------------
[3625]	18	USE par_oce ! ocean parameters
	19	USE phycst ! physical constants (OCE directory)
	20	USE sbc_oce ! Surface boundary condition: ocean fields
	21	USE ice ! LIM variables
	22	USE par_ice ! LIM parameters
	23	USE thd_ice ! LIM thermodynamics
	24	USE in_out_manager ! I/O manager
	25	USE lib_mpp ! MPP library
	26	USE wrk_nemo ! work arrays
	27	USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined)
[921]	28
[825]	29	IMPLICIT NONE
	30	PRIVATE
	31
[1572]	32	PUBLIC lim_thd_dh ! called by lim_thd
[825]	33
[4332]	34	REAL(wp) :: epsi20 = 1.e-20 ! constant values
	35	REAL(wp) :: epsi10 = 1.e-10 !
	36	REAL(wp) :: epsi13 = 1.e-13 !
	37	REAL(wp) :: zzero = 0._wp !
	38	REAL(wp) :: zone = 1._wp !
[825]	39
	40	!!----------------------------------------------------------------------
[4045]	41	!! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2010)
[1156]	42	!! $Id$
[2715]	43	!! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt)
[825]	44	!!----------------------------------------------------------------------
	45	CONTAINS
	46
[2715]	47	SUBROUTINE lim_thd_dh( kideb, kiut, jl )
[921]	48	!!------------------------------------------------------------------
	49	!! * ROUTINE lim_thd_dh *
	50	!!
[1572]	51	!! ** Purpose : determines variations of ice and snow thicknesses.
[921]	52	!!
[1572]	53	!! ** Method : Ice/Snow surface melting arises from imbalance in surface fluxes
	54	!! Bottom accretion/ablation arises from flux budget
	55	!! Snow thickness can increase by precipitation and decrease by sublimation
	56	!! If snow load excesses Archmiede limit, snow-ice is formed by
	57	!! the flooding of sea-water in the snow
[921]	58	!!
[1572]	59	!! 1) Compute available flux of heat for surface ablation
	60	!! 2) Compute snow and sea ice enthalpies
	61	!! 3) Surface ablation and sublimation
	62	!! 4) Bottom accretion/ablation
	63	!! 5) Case of Total ablation
	64	!! 6) Snow ice formation
[921]	65	!!
[1572]	66	!! References : Bitz and Lipscomb, 1999, J. Geophys. Res.
	67	!! Fichefet T. and M. Maqueda 1997, J. Geophys. Res., 102(C6), 12609-12646
	68	!! Vancoppenolle, Fichefet and Bitz, 2005, Geophys. Res. Let.
	69	!! Vancoppenolle et al.,2009, Ocean Modelling
[921]	70	!!------------------------------------------------------------------
[1572]	71	INTEGER , INTENT(in) :: kideb, kiut ! Start/End point on which the the computation is applied
	72	INTEGER , INTENT(in) :: jl ! Thickness cateogry number
	73	!!
	74	INTEGER :: ji , jk ! dummy loop indices
[4045]	75	INTEGER :: ii, ij ! 2D corresponding indices to ji
[4506]	76	INTEGER :: i_use ! debugging flag
[1572]	77	INTEGER :: isnow ! switch for presence (1) or absence (0) of snow
	78	INTEGER :: isnowic ! snow ice formation not
	79	INTEGER :: i_ice_switch ! ice thickness above a certain treshold or not
	80	INTEGER :: iter
[825]	81
[2715]	82	REAL(wp) :: zzfmass_i, zihgnew ! local scalar
	83	REAL(wp) :: zzfmass_s, zhsnew, ztmelts ! local scalar
[1572]	84	REAL(wp) :: zhn, zdhcf, zdhbf, zhni, zhnfi, zihg !
[2715]	85	REAL(wp) :: zdhnm, zhnnew, zhisn, zihic, zzc !
[1572]	86	REAL(wp) :: zfracs ! fractionation coefficient for bottom salt entrapment
	87	REAL(wp) :: zcoeff ! dummy argument for snowfall partitioning over ice and leads
[4506]	88	REAL(wp) :: zs_snic ! snow-ice salinity
[1572]	89	REAL(wp) :: zswi1 ! switch for computation of bottom salinity
	90	REAL(wp) :: zswi12 ! switch for computation of bottom salinity
	91	REAL(wp) :: zswi2 ! switch for computation of bottom salinity
	92	REAL(wp) :: zgrr ! bottom growth rate
[4506]	93	REAL(wp) :: zt_i_new ! bottom formation temperature
	94
	95	REAL(wp) :: zQm ! enthalpy exchanged with the ocean (J/m2), >0 towards the ocean
	96	REAL(wp) :: zEi ! specific enthalpy of sea ice (J/kg)
	97	REAL(wp) :: zEw ! specific enthalpy of exchanged water (J/kg)
	98	REAL(wp) :: zdE ! specific enthalpy difference (J/kg)
	99	REAL(wp) :: zfmdt ! exchange mass flux x time step (J/m2), >0 towards the ocean
	100	REAL(wp) :: zsstK ! SST in Kelvin
	101
[3294]	102	REAL(wp), POINTER, DIMENSION(:) :: zh_i ! ice layer thickness
	103	REAL(wp), POINTER, DIMENSION(:) :: zh_s ! snow layer thickness
	104	REAL(wp), POINTER, DIMENSION(:) :: ztfs ! melting point
	105	REAL(wp), POINTER, DIMENSION(:) :: zhsold ! old snow thickness
	106	REAL(wp), POINTER, DIMENSION(:) :: zqprec ! energy of fallen snow
	107	REAL(wp), POINTER, DIMENSION(:) :: zqfont_su ! incoming, remaining surface energy
	108	REAL(wp), POINTER, DIMENSION(:) :: zqfont_bo ! incoming, bottom energy
	109	REAL(wp), POINTER, DIMENSION(:) :: z_f_surf ! surface heat for ablation
	110	REAL(wp), POINTER, DIMENSION(:) :: zhgnew ! new ice thickness
	111	REAL(wp), POINTER, DIMENSION(:) :: zfmass_i !
	112
[3625]	113	REAL(wp), POINTER, DIMENSION(:) :: zdh_s_mel ! snow melt
	114	REAL(wp), POINTER, DIMENSION(:) :: zdh_s_pre ! snow precipitation
	115	REAL(wp), POINTER, DIMENSION(:) :: zdh_s_sub ! snow sublimation
[3294]	116
	117	REAL(wp), POINTER, DIMENSION(:,:) :: zdeltah
	118
	119	! Pathological cases
	120	REAL(wp), POINTER, DIMENSION(:) :: zfdt_init ! total incoming heat for ice melt
	121	REAL(wp), POINTER, DIMENSION(:) :: zfdt_final ! total remaing heat for ice melt
	122	REAL(wp), POINTER, DIMENSION(:) :: zqt_i ! total ice heat content
	123	REAL(wp), POINTER, DIMENSION(:) :: zqt_s ! total snow heat content
	124	REAL(wp), POINTER, DIMENSION(:) :: zqt_dummy ! dummy heat content
	125
	126	REAL(wp), POINTER, DIMENSION(:,:) :: zqt_i_lay ! total ice heat content
	127
[4045]	128	! mass and salt flux (clem)
[4506]	129	REAL(wp) :: zdvres, zdvsur, zdvbot, zswitch_sal
[4045]	130	REAL(wp), POINTER, DIMENSION(:) :: zviold, zvsold ! old ice volume...
	131
[3294]	132	! Heat conservation
	133	INTEGER :: num_iter_max, numce_dh
	134	REAL(wp) :: meance_dh
[4332]	135	REAL(wp) :: zinda
[3294]	136	REAL(wp), POINTER, DIMENSION(:) :: zinnermelt
	137	REAL(wp), POINTER, DIMENSION(:) :: zfbase, zdq_i
[1572]	138	!!------------------------------------------------------------------
[825]	139
[4506]	140	! Discriminate between varying salinity (num_sal=2) and prescribed cases (other values)
	141	SELECT CASE( num_sal ) ! varying salinity or not
	142	CASE( 1, 3, 4 ) ; zswitch_sal = 0 ! prescribed salinity profile
	143	CASE( 2 ) ; zswitch_sal = 1 ! varying salinity profile
	144	END SELECT
	145
[3294]	146	CALL wrk_alloc( jpij, zh_i, zh_s, ztfs, zhsold, zqprec, zqfont_su, zqfont_bo, z_f_surf, zhgnew, zfmass_i )
[4045]	147	CALL wrk_alloc( jpij, zdh_s_mel, zdh_s_pre, zdh_s_sub, zfdt_init, zfdt_final, zqt_i, zqt_s, zqt_dummy )
[3294]	148	CALL wrk_alloc( jpij, zinnermelt, zfbase, zdq_i )
	149	CALL wrk_alloc( jpij, jkmax, zdeltah, zqt_i_lay )
[825]	150
[4045]	151	CALL wrk_alloc( jpij, zviold, zvsold ) ! clem
	152
[3625]	153	ftotal_fin(:) = 0._wp
	154	zfdt_init (:) = 0._wp
	155	zfdt_final(:) = 0._wp
[2715]	156
[4045]	157	dh_i_surf (:) = 0._wp
	158	dh_i_bott (:) = 0._wp
	159	dh_snowice(:) = 0._wp
	160
[825]	161	DO ji = kideb, kiut
	162	old_ht_i_b(ji) = ht_i_b(ji)
	163	old_ht_s_b(ji) = ht_s_b(ji)
[4045]	164	zviold(ji) = a_i_b(ji) * ht_i_b(ji) ! clem
	165	zvsold(ji) = a_i_b(ji) * ht_s_b(ji) ! clem
[825]	166	END DO
[921]	167	!
	168	!------------------------------------------------------------------------------!
	169	! 1) Calculate available heat for surface ablation !
	170	!------------------------------------------------------------------------------!
	171	!
[2715]	172	DO ji = kideb, kiut
[3625]	173	isnow = INT( 1.0 - MAX( 0.0 , SIGN( 1.0 , - ht_s_b(ji) ) ) )
	174	ztfs (ji) = isnow * rtt + ( 1.0 - isnow ) * rtt
	175	z_f_surf (ji) = qnsr_ice_1d(ji) + ( 1.0 - i0(ji) ) * qsr_ice_1d(ji) - fc_su(ji)
	176	z_f_surf (ji) = MAX( zzero , z_f_surf(ji) ) * MAX( zzero , SIGN( zone , t_su_b(ji) - ztfs(ji) ) )
[1572]	177	zfdt_init(ji) = ( z_f_surf(ji) + MAX( fbif_1d(ji) + qlbbq_1d(ji) + fc_bo_i(ji),0.0 ) ) * rdt_ice
[825]	178	END DO ! ji
	179
[2715]	180	zqfont_su (:) = 0._wp
	181	zqfont_bo (:) = 0._wp
	182	dsm_i_se_1d(:) = 0._wp
	183	dsm_i_si_1d(:) = 0._wp
[921]	184	!
	185	!------------------------------------------------------------------------------!
	186	! 2) Computing layer thicknesses and snow and sea-ice enthalpies. !
	187	!------------------------------------------------------------------------------!
	188	!
[2715]	189	DO ji = kideb, kiut ! Layer thickness
[4045]	190	zh_i(ji) = ht_i_b(ji) / REAL( nlay_i )
	191	zh_s(ji) = ht_s_b(ji) / REAL( nlay_s )
[825]	192	END DO
[2715]	193	!
	194	zqt_s(:) = 0._wp ! Total enthalpy of the snow
[825]	195	DO jk = 1, nlay_s
[2715]	196	DO ji = kideb, kiut
[4045]	197	zqt_s(ji) = zqt_s(ji) + q_s_b(ji,jk) * ht_s_b(ji) / REAL( nlay_s )
[825]	198	END DO
	199	END DO
[2715]	200	!
	201	zqt_i(:) = 0._wp ! Total enthalpy of the ice
[825]	202	DO jk = 1, nlay_i
[2715]	203	DO ji = kideb, kiut
[4045]	204	zzc = q_i_b(ji,jk) * ht_i_b(ji) / REAL( nlay_i )
[2715]	205	zqt_i(ji) = zqt_i(ji) + zzc
	206	zqt_i_lay(ji,jk) = zzc
[825]	207	END DO
	208	END DO
[921]	209	!
	210	!------------------------------------------------------------------------------\|
	211	! 3) Surface ablation and sublimation \|
	212	!------------------------------------------------------------------------------\|
	213	!
[834]	214	!-------------------------
	215	! 3.1 Snow precips / melt
	216	!-------------------------
[825]	217	! Snow accumulation in one thermodynamic time step
	218	! snowfall is partitionned between leads and ice
	219	! if snow fall was uniform, a fraction (1-at_i) would fall into leads
	220	! but because of the winds, more snow falls on leads than on sea ice
	221	! and a greater fraction (1-at_i)^beta of the total mass of snow
[834]	222	! (beta < 1) falls in leads.
[825]	223	! In reality, beta depends on wind speed,
	224	! and should decrease with increasing wind speed but here, it is
[834]	225	! considered as a constant. an average value is 0.66
[825]	226	! Martin Vancoppenolle, December 2006
	227
	228	! Snow fall
	229	DO ji = kideb, kiut
	230	zcoeff = ( 1.0 - ( 1.0 - at_i_b(ji) )**betas ) / at_i_b(ji)
	231	zdh_s_pre(ji) = zcoeff * sprecip_1d(ji) * rdt_ice / rhosn
	232	END DO
[2715]	233	zdh_s_mel(:) = 0._wp
[825]	234
	235	! Melt of fallen snow
	236	DO ji = kideb, kiut
	237	! tatm_ice is now in K
[4506]	238	zqprec (ji) = rhosn * ( cpic * ( rtt - MIN( tatm_ice_1d(ji), rt0_snow) ) + lfus )
[1572]	239	zqfont_su(ji) = z_f_surf(ji) * rdt_ice
	240	zdeltah (ji,1) = MIN( 0.e0 , - zqfont_su(ji) / MAX( zqprec(ji) , epsi13 ) )
	241	zqfont_su(ji) = MAX( 0.e0 , - zdh_s_pre(ji) - zdeltah(ji,1) ) * zqprec(ji)
	242	zdeltah (ji,1) = MAX( - zdh_s_pre(ji) , zdeltah(ji,1) )
	243	zdh_s_mel(ji) = zdh_s_mel(ji) + zdeltah(ji,1)
[825]	244	! heat conservation
[1572]	245	qt_s_in(ji,jl) = qt_s_in(ji,jl) + zqprec(ji) * zdh_s_pre(ji)
	246	zqt_s (ji) = zqt_s (ji) + zqprec(ji) * zdh_s_pre(ji)
	247	zqt_s (ji) = MAX( zqt_s(ji) - zqfont_su(ji) , 0.e0 )
[825]	248	END DO
	249
	250
	251	! Snow melt due to surface heat imbalance
	252	DO jk = 1, nlay_s
	253	DO ji = kideb, kiut
[1572]	254	zdeltah (ji,jk) = - zqfont_su(ji) / q_s_b(ji,jk)
	255	zqfont_su(ji) = MAX( 0.0 , - zh_s(ji) - zdeltah(ji,jk) ) * q_s_b(ji,jk)
	256	zdeltah (ji,jk) = MAX( zdeltah(ji,jk) , - zh_s(ji) )
	257	zdh_s_mel(ji) = zdh_s_mel(ji) + zdeltah(ji,jk) ! resulting melt of snow
[825]	258	END DO
	259	END DO
	260
	261	! Apply snow melt to snow depth
	262	DO ji = kideb, kiut
	263	dh_s_tot(ji) = zdh_s_mel(ji) + zdh_s_pre(ji)
	264	! Old and new snow depths
	265	zhsold(ji) = ht_s_b(ji)
	266	zhsnew = ht_s_b(ji) + dh_s_tot(ji)
	267	! If snow is still present zhn = 1, else zhn = 0
[3625]	268	zhn = 1.0 - MAX( zzero , SIGN( zone , - zhsnew ) )
[825]	269	ht_s_b(ji) = MAX( zzero , zhsnew )
[4045]	270	! we recompute dh_s_tot (clem)
	271	dh_s_tot (ji) = ht_s_b(ji) - zhsold(ji)
[825]	272	! Volume and mass variations of snow
[3625]	273	dvsbq_1d (ji) = a_i_b(ji) * ( ht_s_b(ji) - zhsold(ji) - zdh_s_pre(ji) )
[1572]	274	dvsbq_1d (ji) = MIN( zzero, dvsbq_1d(ji) )
[4045]	275	!clem rdm_snw_1d(ji) = rdm_snw_1d(ji) + rhosn * dvsbq_1d(ji)
[825]	276	END DO ! ji
	277
[834]	278	!--------------------------
	279	! 3.2 Surface ice ablation
	280	!--------------------------
[825]	281	DO ji = kideb, kiut
[3625]	282	z_f_surf (ji) = zqfont_su(ji) * r1_rdtice ! heat conservation test
[2715]	283	zdq_i (ji) = 0._wp
[825]	284	END DO ! ji
	285
	286	DO jk = 1, nlay_i
	287	DO ji = kideb, kiut
[4506]	288	zEi = - q_i_b(ji,jk) / rhoic ! Specific enthalpy of layer k [J/kg, <0]
	289
	290	ztmelts = - tmut * s_i_b(ji,jk) + rtt ! Melting point of layer k [K]
	291
	292	zEw = rcp * ( ztmelts - rt0 ) ! Specific enthalpy of resulting meltwater [J/kg, <0]
	293
	294	zdE = zEi - zEw ! Specific enthalpy difference < 0
	295
	296	zfmdt = - zqfont_su(ji) / zdE ! Mass flux to the ocean [kg/m2, >0]
	297
	298	zdeltah(ji,jk) = - zfmdt / rhoic ! Melt of layer jk [m, <0]
	299
	300	zqfont_su(ji) = MAX( 0.0 , - zh_i(ji) - zdeltah(ji,jk) ) * rhoic * ( - zdE )
	301	! Energy remaining in case of melting of the full layer [J/m2, >0]
	302	zdeltah(ji,jk) = MAX( zdeltah(ji,jk) , - zh_i(ji) ) ! Melt of layer jk cannot exceed the layer thickness [m, <0]
	303
	304	dh_i_surf(ji) = dh_i_surf(ji) + zdeltah(ji,jk) ! Cumulate surface melt
	305
	306	zfmdt = - rhoic*zdeltah(ji,jk) ! Recompute mass flux [kg/m2, >0]
	307
	308	zQm = MAX ( zfmdt, 0._wp ) * zEw ! Energy of the melt water sent to the ocean [J/m2, <0]
	309
	310	! Contribution to salt flux
	311	sfx_thd_1d(ji) = sfx_thd_1d(ji) - sm_i_b(ji) * a_i_b(ji) &
[4045]	312	& * MIN( zdeltah(ji,jk) , 0._wp ) * rhoic / rdt_ice
[4506]	313	! Contribution to heat flux
	314	rdq_ice_1d(ji) = rdq_ice_1d(ji) + zQm * a_i_b(ji)
	315
	316	! Conservation test
	317	zdq_i(ji) = zdq_i(ji) + zdeltah(ji,jk) * rhoic * zdE * r1_rdtice ! ? still don't know
[1572]	318	END DO
	319	END DO
[825]	320
[4332]	321	! !-------------------
	322	IF( con_i .AND. jiindex_1d > 0 ) THEN ! Conservation test
	323	! !-------------------
[1572]	324	numce_dh = 0
[2715]	325	meance_dh = 0._wp
[921]	326	DO ji = kideb, kiut
	327	IF ( ( z_f_surf(ji) + zdq_i(ji) ) .GE. 1.0e-3 ) THEN
	328	numce_dh = numce_dh + 1
	329	meance_dh = meance_dh + z_f_surf(ji) + zdq_i(ji)
	330	ENDIF
[1572]	331	IF( z_f_surf(ji) + zdq_i(ji) .GE. 1.0e-3 ) THEN!
[921]	332	WRITE(numout,*) ' ALERTE heat loss for surface melt '
[3625]	333	WRITE(numout,*) ' ii, ij, jl :', ii, ij, jl
[2715]	334	WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji)
	335	WRITE(numout,*) ' z_f_surf : ', z_f_surf(ji)
	336	WRITE(numout,*) ' zdq_i : ', zdq_i(ji)
	337	WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji)
	338	WRITE(numout,*) ' fc_bo_i : ', fc_bo_i(ji)
	339	WRITE(numout,*) ' fbif_1d : ', fbif_1d(ji)
	340	WRITE(numout,*) ' qlbbq_1d : ', qlbbq_1d(ji)
	341	WRITE(numout,*) ' s_i_new : ', s_i_new(ji)
[3625]	342	WRITE(numout,*) ' sss_m : ', sss_m(ii,ij)
[921]	343	ENDIF
[1572]	344	END DO
	345	!
	346	IF( numce_dh > 0 ) meance_dh = meance_dh / numce_dh
[921]	347	WRITE(numout,*) ' Error report - Category : ', jl
	348	WRITE(numout,*) ' ~~~~~~~~~~~~ '
	349	WRITE(numout,*) ' Number of points where there is sur. me. error : ', numce_dh
	350	WRITE(numout,*) ' Mean basal growth error on error points : ', meance_dh
[1572]	351	!
	352	ENDIF
[825]	353
[834]	354	!----------------------
	355	! 3.3 Snow sublimation
	356	!----------------------
[825]	357
	358	DO ji = kideb, kiut
[3808]	359	! qla_ice is always >=0 (upwards), heat goes to the atmosphere, therefore snow sublimates
	360	#if defined key_coupled
	361	zdh_s_sub(ji) = 0._wp ! coupled mode: sublimation already included in emp_ice (to do in limsbc_ice)
	362	#else
	363	! ! forced mode: snow thickness change due to sublimation
[1572]	364	zdh_s_sub(ji) = - parsub * qla_ice_1d(ji) / ( rhosn * lsub ) * rdt_ice
[3808]	365	#endif
[1572]	366	dh_s_tot (ji) = dh_s_tot(ji) + zdh_s_sub(ji)
	367	zdhcf = ht_s_b(ji) + zdh_s_sub(ji)
	368	ht_s_b (ji) = MAX( zzero , zdhcf )
[825]	369	! we recompute dh_s_tot
[1572]	370	dh_s_tot (ji) = ht_s_b(ji) - zhsold(ji)
	371	qt_s_in (ji,jl) = qt_s_in(ji,jl) + zdh_s_sub(ji)*q_s_b(ji,1)
	372	END DO
[825]	373
[1572]	374	zqt_dummy(:) = 0.e0
[825]	375	DO jk = 1, nlay_s
	376	DO ji = kideb,kiut
[1572]	377	q_s_b (ji,jk) = rhosn * ( cpic * ( rtt - t_s_b(ji,jk) ) + lfus )
[4045]	378	zqt_dummy(ji) = zqt_dummy(ji) + q_s_b(ji,jk) * ht_s_b(ji) / REAL( nlay_s ) ! heat conservation
[825]	379	END DO
	380	END DO
	381
[1572]	382	DO jk = 1, nlay_s
	383	DO ji = kideb, kiut
	384	! In case of disparition of the snow, we have to update the snow temperatures
[3625]	385	zhisn = MAX( zzero , SIGN( zone, - ht_s_b(ji) ) )
[825]	386	t_s_b(ji,jk) = ( 1.0 - zhisn ) * t_s_b(ji,jk) + zhisn * rtt
	387	q_s_b(ji,jk) = ( 1.0 - zhisn ) * q_s_b(ji,jk)
	388	END DO
[921]	389	END DO
[825]	390
[921]	391	!
	392	!------------------------------------------------------------------------------!
	393	! 4) Basal growth / melt !
	394	!------------------------------------------------------------------------------!
	395	!
[4506]	396	!------------------
	397	! 4.1 Basal growth
	398	!------------------
	399	! Basal growth is driven by heat imbalance at the ice-ocean interface,
	400	! between the inner conductive flux (fc_bo_i), from the open water heat flux
[825]	401	! (qlbbqb) and the turbulent ocean flux (fbif).
[834]	402	! fc_bo_i is positive downwards. fbif and qlbbq are positive to the ice
[825]	403
[4506]	404	! If salinity varies in time, an iterative procedure is required, because
	405	! the involved quantities are inter-dependent.
	406	! Basal growth (dh_i_bott) depends upon new ice specific enthalpy (zEi),
	407	! which depends on forming ice salinity (s_i_new), which depends on dh/dt (dh_i_bott)
	408	! -> need for an iterative procedure, which converges quickly
	409
	410	IF ( num_sal == 2 ) THEN
	411	num_iter_max = 5
	412	ELSE
	413	num_iter_max = 1
[1572]	414	ENDIF
[825]	415
[4506]	416	! Initialize dh_i_bott
	417	dh_i_bott(:) = 0.0e0
[825]	418
[4506]	419	! Iterative procedure
	420	DO iter = 1, num_iter_max
	421	DO ji = kideb, kiut
[825]	422
[4506]	423	IF( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) < 0.e0 ) THEN
[825]	424
[4506]	425	! New bottom ice salinity (Cox & Weeks, JGR88 )
	426	!--- zswi1 if dh/dt < 2.0e-8
	427	!--- zswi12 if 2.0e-8 < dh/dt < 3.6e-7
	428	!--- zswi2 if dh/dt > 3.6e-7
	429	zgrr = MIN( 1.0e-3, MAX ( dh_i_bott(ji) * r1_rdtice , epsi13 ) )
	430	zswi2 = MAX( zzero , SIGN( zone , zgrr - 3.6e-7 ) )
	431	zswi12 = MAX( zzero , SIGN( zone , zgrr - 2.0e-8 ) ) * ( 1.0 - zswi2 )
	432	zswi1 = 1. - zswi2 * zswi12
	433	zfracs = MIN ( zswi1 * 0.12 + zswi12 * ( 0.8925 + 0.0568 * LOG( 100.0 * zgrr ) ) &
	434	& + zswi2 * 0.26 / ( 0.26 + 0.74 * EXP ( - 724300.0 * zgrr ) ) , 0.5 )
[825]	435
[4506]	436	ii = MOD( npb(ji) - 1, jpi ) + 1 ; ij = ( npb(ji) - 1 ) / jpi + 1
	437
	438	s_i_new(ji) = zswitch_sal * zfracs * sss_m(ii,ij) & ! New ice salinity
	439	+ ( 1. - zswitch_sal ) * sm_i_b(ji)
	440	! New ice growth
	441	ztmelts = - tmut * s_i_new(ji) + rtt ! New ice melting point (K)
	442
	443	zt_i_new = zswitch_sal * t_bo_b(ji) + ( 1. - zswitch_sal) * t_i_b(ji, nlay_i)
	444
	445	zEi = cpic * ( zt_i_new - ztmelts ) & ! Specific enthalpy of forming ice (J/kg, <0)
	446	& - lfus * ( 1.0 - ( ztmelts - rtt ) / ( zt_i_new - rtt ) ) &
	447	& + rcp * ( ztmelts-rtt )
	448
	449	zEw = rcp * ( t_bo_b(ji) - rt0 ) ! Specific enthalpy of seawater (J/kg, < 0)
	450
	451	zdE = zEi - zEw ! Specific enthalpy difference (J/kg, <0)
	452
	453	dh_i_bott(ji) = rdt_ice * ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) / ( zdE * rhoic )
	454
	455	!!! not sure we still need the next line... useful to keep this in memory ? check limthd_ent...
	456	q_i_b(ji,nlay_i+1) = -zEi * rhoic ! New ice energy of melting (J/m3, >0)
	457
	458	ENDIF ! fc_bo_i
	459	END DO ! ji
	460	END DO ! iter
	461
	462	! Contribution to Energy and Salt Fluxes
	463	DO ji = kideb, kiut
	464
	465	zEw = rcp * ( t_bo_b(ji) - rt0 ) ! Specific enthalpy of seawater (J/kg, < 0)
	466
	467	zfmdt = - rhoic * dh_i_bott(ji) ! Mass flux x time step (kg/m2, < 0)
	468
	469	! Contribution to energy flux to the ocean (J/m2)
	470	rdq_ice_1d(ji) = rdq_ice_1d(ji) + zEw * a_i_b(ji) * zfmdt
	471
	472	! Contribution to salt flux ()
	473	sfx_thd_1d(ji) = sfx_thd_1d(ji) + s_i_new(ji) * a_i_b(ji) * zfmdt * r1_rdtice
	474
	475	END DO
	476
[834]	477	!----------------
	478	! 4.2 Basal melt
	479	!----------------
[2715]	480	meance_dh = 0._wp
[1572]	481	numce_dh = 0
[2715]	482	zinnermelt(:) = 0._wp
[825]	483
	484	DO ji = kideb, kiut
	485	! heat convergence at the surface > 0
[2715]	486	IF( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) >= 0._wp ) THEN
[4506]	487	s_i_new(ji) = s_i_b(ji,nlay_i) ! is this line still useful ?
[825]	488	zqfont_bo(ji) = rdt_ice * ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) )
[3625]	489	zfbase(ji) = zqfont_bo(ji) * r1_rdtice ! heat conservation test
[2715]	490	zdq_i(ji) = 0._wp
	491	dh_i_bott(ji) = 0._wp
[825]	492	ENDIF
	493	END DO
	494
	495	DO jk = nlay_i, 1, -1
	496	DO ji = kideb, kiut
[3625]	497	IF( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) >= 0._wp ) THEN
[4506]	498
	499	ztmelts = - tmut * s_i_b(ji,jk) + rtt ! Melting point of layer jk (K)
	500
	501	IF( t_i_b(ji,jk) >= ztmelts ) THEN !!! Internal melting
	502
	503	zdeltah (ji,jk) = - zh_i(ji) ! internal melting occurs when the internal temperature is above freezing
	504	! this should normally not happen, but sometimes, heat diffusion leads to this
	505
	506	dh_i_bott (ji) = dh_i_bott(ji) + zdeltah(ji,jk)
	507
	508	zinnermelt(ji) = 1._wp
	509
	510	zQm = 0. ! Not sure which specific enthalpy we should use here (MV HC 2014)
	511	! If that happens, heat is probably not well counted
	512	! Put zero by default, but more bug analysis should be done to investigate this case
	513
	514	ELSE !!! Basal melting
	515
	516	zEi = - q_i_b(ji,jk) / rhoic ! Specific enthalpy of melting ice (J/kg, <0)
	517
	518	zEw = rcp * ( ztmelts - rtt )! Specific enthalpy of meltwater (J/kg, <0)
	519
	520	zdE = zEi - zEw ! Specific enthalpy difference (J/kg, <0)
	521
	522	zfmdt = - zqfont_bo(ji) / zdE ! Mass flux x time step (kg/m2, >0)
	523
	524	zdeltah(ji,jk) = - zfmdt / rhoic ! Gross thickness change
	525
	526	zqfont_bo(ji) = MAX( 0.0 , - zh_i(ji) - zdeltah(ji,jk) ) * rhoic * ( - zdE ) ! Update heat available
	527
	528	zdeltah(ji,jk) = MAX( zdeltah(ji,jk), - zh_i(ji) ) ! Update thickness change
	529
	530	dh_i_bott(ji) = dh_i_bott(ji) + zdeltah(ji,jk) ! Update basal melt
	531
	532	zfmdt = - zdeltah(ji,jk) * rhoic ! Mass flux x time step
	533
	534	zQm = MAX ( zfmdt , 0.0 ) * zEw ! Heat exchanged with ocean
	535
	536	zdq_i(ji) = zdq_i(ji) + zdeltah(ji,jk) * rhoic * zdE * r1_rdtice ! for heat conservation
	537
[825]	538	ENDIF
[4506]	539
	540	! Contribution to salt flux
[4045]	541	sfx_thd_1d(ji) = sfx_thd_1d(ji) - sm_i_b(ji) * a_i_b(ji) &
	542	& * MIN( zdeltah(ji,jk) , 0._wp ) * rhoic * r1_rdtice
[4506]	543
	544	! Contribution to energy flux to the ocean (J/m2)
	545	rdq_ice_1d(ji) = rdq_ice_1d(ji) + zQm * a_i_b(ji)
	546
[825]	547	ENDIF
	548	END DO ! ji
	549	END DO ! jk
	550
[4332]	551	! !-------------------
	552	IF( con_i .AND. jiindex_1d > 0 ) THEN ! Conservation test
	553	! !-------------------
[921]	554	DO ji = kideb, kiut
[1572]	555	IF( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) >= 0.e0 ) THEN
	556	IF( ( zfbase(ji) + zdq_i(ji) ) >= 1.e-3 ) THEN
	557	numce_dh = numce_dh + 1
[921]	558	meance_dh = meance_dh + zfbase(ji) + zdq_i(ji)
	559	ENDIF
	560	IF ( zfbase(ji) + zdq_i(ji) .GE. 1.0e-3 ) THEN
[3625]	561	WRITE(numout,*) ' ALERTE heat loss for basal melt : ii, ij, jl :', ii, ij, jl
[2715]	562	WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji)
	563	WRITE(numout,*) ' zfbase : ', zfbase(ji)
	564	WRITE(numout,*) ' zdq_i : ', zdq_i(ji)
	565	WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji)
	566	WRITE(numout,*) ' fc_bo_i : ', fc_bo_i(ji)
	567	WRITE(numout,*) ' fbif_1d : ', fbif_1d(ji)
	568	WRITE(numout,*) ' qlbbq_1d : ', qlbbq_1d(ji)
	569	WRITE(numout,*) ' s_i_new : ', s_i_new(ji)
[3625]	570	WRITE(numout,*) ' sss_m : ', sss_m(ii,ij)
[921]	571	WRITE(numout,*) ' dh_i_bott : ', dh_i_bott(ji)
[2715]	572	WRITE(numout,*) ' innermelt : ', INT( zinnermelt(ji) )
[921]	573	ENDIF
[1572]	574	ENDIF
	575	END DO
	576	IF( numce_dh > 0 ) meance_dh = meance_dh / numce_dh
[921]	577	WRITE(numout,*) ' Number of points where there is bas. me. error : ', numce_dh
	578	WRITE(numout,*) ' Mean basal melt error on error points : ', meance_dh
	579	WRITE(numout,*) ' Remaining bottom heat : ', zqfont_bo(jiindex_1d)
[1572]	580	!
	581	ENDIF
[825]	582
[921]	583	!
	584	!------------------------------------------------------------------------------!
	585	! 5) Pathological cases !
	586	!------------------------------------------------------------------------------!
	587	!
[834]	588	!----------------------------------------------
	589	! 5.1 Excessive ablation in a 1-category model
	590	!----------------------------------------------
[825]	591
	592	DO ji = kideb, kiut
[1572]	593	! ! in a 1-category sea ice model, bottom ablation must not exceed hmelt (-0.15)
	594	IF( jpl == 1 ) THEN ; zdhbf = MAX( hmelt , dh_i_bott(ji) )
	595	ELSE ; zdhbf = dh_i_bott(ji)
	596	ENDIF
[4045]	597	zdvres = zdhbf - dh_i_bott(ji)
	598	dh_i_bott(ji) = zdhbf
	599	sfx_thd_1d(ji) = sfx_thd_1d(ji) - sm_i_b(ji) * a_i_b(ji) * zdvres * rhoic * r1_rdtice
[1572]	600	! ! excessive energy is sent to lateral ablation
[4332]	601	zinda = MAX( 0._wp, SIGN( 1._wp , 1.0 - at_i_b(ji) - epsi10 ) )
	602	fsup(ji) = zinda * rhoic * lfus * at_i_b(ji) / MAX( 1.0 - at_i_b(ji) , epsi10 ) * zdvres * r1_rdtice
[825]	603	END DO
	604
[834]	605	!-----------------------------------
	606	! 5.2 More than available ice melts
	607	!-----------------------------------
[3625]	608	! then heat applied minus heat content at previous time step should equal heat remaining
[825]	609	!
	610	DO ji = kideb, kiut
	611	! Adapt the remaining energy if too much ice melts
	612	!--------------------------------------------------
[4045]	613	zdvres = MAX( 0._wp, - ht_i_b(ji) - dh_i_surf(ji) - dh_i_bott(ji) )
	614	zdvsur = MIN( 0._wp, dh_i_surf(ji) + zdvres ) - dh_i_surf(ji) ! fill the surface first
	615	zdvbot = MAX( 0._wp, zdvres - zdvsur ) ! then the bottom
	616	dh_i_surf (ji) = dh_i_surf(ji) + zdvsur ! clem
	617	dh_i_bott (ji) = dh_i_bott(ji) + zdvbot ! clem
	618
	619	! new ice thickness (clem)
	620	zhgnew(ji) = ht_i_b(ji) + dh_i_surf(ji) + dh_i_bott(ji)
	621	zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) !1 if ice
	622	zhgnew(ji) = zihgnew * zhgnew(ji) ! ice thickness is put to 0
	623
	624	! !since ice volume is only used for outputs, we keep it global for all categories
	625	dvbbq_1d (ji) = a_i_b(ji) * dh_i_bott(ji)
	626
[4506]	627	! remaining heat
[834]	628	zfdt_final(ji) = ( 1.0 - zihgnew ) * ( zqfont_su(ji) + zqfont_bo(ji) )
[825]	629
	630	! If snow remains, energy is used to melt snow
[1572]	631	zhni = ht_s_b(ji) ! snow depth at previous time step
[3625]	632	zihg = MAX( zzero , SIGN ( zone , - ht_s_b(ji) ) ) ! =0 if snow
[825]	633
	634	! energy of melting of remaining snow
[4332]	635	zinda = MAX( 0._wp, SIGN( 1._wp , zhni - epsi10 ) )
	636	zqt_s(ji) = ( 1. - zihg ) * zqt_s(ji) / MAX( zhni, epsi10 ) * zinda
[1572]	637	zdhnm = - ( 1. - zihg ) * ( 1. - zihgnew ) * zfdt_final(ji) / MAX( zqt_s(ji) , epsi13 )
[3625]	638	zhnfi = zhni + zdhnm
[1572]	639	zfdt_final(ji) = MAX( zfdt_final(ji) + zqt_s(ji) * zdhnm , 0.0 )
[825]	640	ht_s_b(ji) = MAX( zzero , zhnfi )
	641	zqt_s(ji) = zqt_s(ji) * ht_s_b(ji)
[4045]	642	! we recompute dh_s_tot (clem)
	643	dh_s_tot (ji) = ht_s_b(ji) - zhsold(ji)
[825]	644
	645	! Mass variations of ice and snow
	646	!---------------------------------
[1572]	647	! ! mass variation of the jl category
[1571]	648	zzfmass_s = - a_i_b(ji) * ( zhni - ht_s_b(ji) ) * rhosn ! snow
	649	zzfmass_i = a_i_b(ji) * ( zhgnew(ji) - ht_i_b(ji) ) * rhoic ! ice
	650	!
	651	zfmass_i(ji) = zzfmass_i ! ice variation saved to compute salt flux (see below)
	652	!
	653	! ! mass variation cumulated over category
[4045]	654	!clem rdm_snw_1d(ji) = rdm_snw_1d(ji) + zzfmass_s ! snow
	655	!clem rdm_ice_1d(ji) = rdm_ice_1d(ji) + zzfmass_i ! ice
[825]	656
	657	! Remaining heat to the ocean
	658	!---------------------------------
[3625]	659	focea(ji) = - zfdt_final(ji) * r1_rdtice ! focea is in W.m-2 * dt
[825]	660
[4045]	661	! residual salt flux (clem)
	662	!--------------------------
	663	! surface
	664	sfx_thd_1d(ji) = sfx_thd_1d(ji) - sm_i_b(ji) * a_i_b(ji) * zdvsur * rhoic * r1_rdtice
	665	! bottom
	666	IF ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) >= 0._wp ) THEN ! melting
	667	sfx_thd_1d(ji) = sfx_thd_1d(ji) - sm_i_b(ji) * a_i_b(ji) * zdvbot * rhoic * r1_rdtice
	668	ELSE ! growth
	669	sfx_thd_1d(ji) = sfx_thd_1d(ji) - s_i_new(ji) * a_i_b(ji) * zdvbot * rhoic * r1_rdtice
	670	ENDIF
	671	!
[4332]	672	! diagnostic
[4045]	673	ii = MOD( npb(ji) - 1, jpi ) + 1
	674	ij = ( npb(ji) - 1 ) / jpi + 1
	675	diag_bot_gr(ii,ij) = diag_bot_gr(ii,ij) + MAX(dh_i_bott(ji),0.0)a_i_b(ji) r1_rdtice
	676	diag_sur_me(ii,ij) = diag_sur_me(ii,ij) + MIN(dh_i_surf(ji),0.0)a_i_b(ji) r1_rdtice
	677	diag_bot_me(ii,ij) = diag_bot_me(ii,ij) + MIN(dh_i_bott(ji),0.0)a_i_b(ji) r1_rdtice
[825]	678	END DO
	679
[3625]	680	ftotal_fin (:) = zfdt_final(:) * r1_rdtice
[825]	681
	682	!---------------------------
[4045]	683	! heat fluxes
[825]	684	!---------------------------
	685	DO ji = kideb, kiut
[3625]	686	zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) ! =1 if ice
	687	!
[825]	688	! Heat flux
	689	! excessive bottom ablation energy (fsup) - 0 except if jpl = 1
[3625]	690	! excessive total ablation energy (focea) sent to the ocean
[1572]	691	qfvbq_1d(ji) = qfvbq_1d(ji) + fsup(ji) + ( 1.0 - zihgnew ) * focea(ji) * a_i_b(ji) * rdt_ice
[825]	692
[3625]	693	zihic = 1.0 - MAX( zzero , SIGN( zone , -ht_i_b(ji) ) ) ! equals 0 if ht_i = 0, 1 if ht_i gt 0
[825]	694	fscbq_1d(ji) = a_i_b(ji) * fstbif_1d(ji)
[3625]	695	qldif_1d(ji) = qldif_1d(ji) + fsup(ji) + ( 1.0 - zihgnew ) * focea (ji) * a_i_b(ji) * rdt_ice &
[1572]	696	& + ( 1.0 - zihic ) * fscbq_1d(ji) * rdt_ice
[825]	697	END DO ! ji
	698
	699	!-------------------------------------------
	700	! Correct temperature, energy and thickness
	701	!-------------------------------------------
	702	DO ji = kideb, kiut
[1572]	703	zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) )
	704	t_su_b(ji) = zihgnew * t_su_b(ji) + ( 1.0 - zihgnew ) * rtt
[825]	705	END DO ! ji
	706
	707	DO jk = 1, nlay_i
	708	DO ji = kideb, kiut
[1572]	709	zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) )
	710	t_i_b(ji,jk) = zihgnew * t_i_b(ji,jk) + ( 1.0 - zihgnew ) * rtt
	711	q_i_b(ji,jk) = zihgnew * q_i_b(ji,jk)
[825]	712	END DO
	713	END DO ! ji
	714
	715	DO ji = kideb, kiut
	716	ht_i_b(ji) = zhgnew(ji)
[4506]	717	END DO ! ji
	718
[921]	719	!
	720	!------------------------------------------------------------------------------\|
	721	! 6) Snow-Ice formation \|
	722	!------------------------------------------------------------------------------\|
[1572]	723	! When snow load excesses Archimede's limit, snow-ice interface goes down under sea-level,
	724	! flooding of seawater transforms snow into ice dh_snowice is positive for the ice
[825]	725	DO ji = kideb, kiut
[1572]	726	!
	727	dh_snowice(ji) = MAX( zzero , ( rhosn * ht_s_b(ji) + (rhoic-rau0) * ht_i_b(ji) ) / ( rhosn+rau0-rhoic ) )
	728	zhgnew(ji) = MAX( zhgnew(ji) , zhgnew(ji) + dh_snowice(ji) )
	729	zhnnew = MIN( ht_s_b(ji) , ht_s_b(ji) - dh_snowice(ji) )
[825]	730
[921]	731	! Changes in ice volume and ice mass.
[1572]	732	dvnbq_1d (ji) = a_i_b(ji) * ( zhgnew(ji)-ht_i_b(ji) )
	733	dmgwi_1d (ji) = dmgwi_1d(ji) + a_i_b(ji) * ( ht_s_b(ji) - zhnnew ) * rhosn
[825]	734
[4045]	735	!clem rdm_ice_1d(ji) = rdm_ice_1d(ji) + a_i_b(ji) * ( zhgnew(ji) - ht_i_b(ji) ) * rhoic
	736	!clem rdm_snw_1d(ji) = rdm_snw_1d(ji) + a_i_b(ji) * ( zhnnew - ht_s_b(ji) ) * rhosn
[825]	737
[4506]	738	! Salinity of snow ice
	739	ii = MOD( npb(ji) - 1, jpi ) + 1 ; ij = ( npb(ji) - 1 ) / jpi + 1
[825]	740
[4506]	741	zs_snic = zswitch_sal * sss_m(ii,ij) * ( rhoic - rhosn ) / rhoic &
	742	+ ( 1. - zswitch_sal ) * sm_i_b(ji)
	743
[825]	744	! entrapment during snow ice formation
[4045]	745	! clem: new salinity difference stored (to be used in limthd_ent.F90)
	746	IF ( num_sal == 2 ) THEN
[4332]	747	i_ice_switch = MAX( 0._wp , SIGN( 1._wp , zhgnew(ji) - epsi10 ) )
[4045]	748	! salinity dif due to snow-ice formation
[4506]	749	dsm_i_si_1d(ji) = ( zs_snic - sm_i_b(ji) ) * dh_snowice(ji) / MAX( zhgnew(ji), epsi10 ) * i_ice_switch
[4045]	750	! salinity dif due to bottom growth
	751	IF ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) < 0._wp ) THEN
[4332]	752	dsm_i_se_1d(ji) = ( s_i_new(ji) - sm_i_b(ji) ) * dh_i_bott(ji) / MAX( zhgnew(ji), epsi10 ) * i_ice_switch
[4045]	753	ENDIF
	754	ENDIF
[825]	755
[921]	756	! Actualize new snow and ice thickness.
[825]	757	ht_s_b(ji) = zhnnew
	758	ht_i_b(ji) = zhgnew(ji)
	759
	760	! Total ablation ! new lines added to debug
[2715]	761	IF( ht_i_b(ji) <= 0._wp ) a_i_b(ji) = 0._wp
[825]	762
	763	! diagnostic ( snow ice growth )
[4506]	764	ii = MOD( npb(ji) - 1, jpi ) + 1 !MV HC 2014 useless
	765	ij = ( npb(ji) - 1 ) / jpi + 1 ! MV HC 2014 useless
[3625]	766	diag_sni_gr(ii,ij) = diag_sni_gr(ii,ij) + dh_snowice(ji)a_i_b(ji) r1_rdtice
[4506]	767
	768	! Contribution to energy flux to the ocean [J/m2], >0
	769	zfmdt = ( rhosn - rhoic ) * MAX( dh_snowice(ji), 0.0 ) ! <0
	770	zsstK = sst_m(ii,ij) + rt0
	771	zEw = rcp * ( zsstK - rt0 )
	772	zQm = zfmdt * zEw
	773	rdq_ice_1d(ji) = rdq_ice_1d(ji) + zQm * a_i_b(ji)
	774
	775	! Contribution to salt flux
	776	sfx_thd_1d(ji) = sfx_thd_1d(ji) + sss_m(ii,ij) * a_i_b(ji) * zfmdt * r1_rdtice
	777
	778	! Contribution to mass fluxes
[4045]	779	rdm_ice_1d(ji) = rdm_ice_1d(ji) + ( a_i_b(ji) * ht_i_b(ji) - zviold(ji) ) * rhoic
	780	rdm_snw_1d(ji) = rdm_snw_1d(ji) + ( a_i_b(ji) * ht_s_b(ji) - zvsold(ji) ) * rhosn
	781
[825]	782	END DO !ji
[2715]	783	!
[3294]	784	CALL wrk_dealloc( jpij, zh_i, zh_s, ztfs, zhsold, zqprec, zqfont_su, zqfont_bo, z_f_surf, zhgnew, zfmass_i )
[4045]	785	CALL wrk_dealloc( jpij, zdh_s_mel, zdh_s_pre, zdh_s_sub, zfdt_init, zfdt_final, zqt_i, zqt_s, zqt_dummy )
[3294]	786	CALL wrk_dealloc( jpij, zinnermelt, zfbase, zdq_i )
	787	CALL wrk_dealloc( jpij, jkmax, zdeltah, zqt_i_lay )
[2715]	788	!
[4045]	789	CALL wrk_dealloc( jpij, zviold, zvsold ) ! clem
	790	!
[921]	791	END SUBROUTINE lim_thd_dh
[1572]	792
[825]	793	#else
[1572]	794	!!----------------------------------------------------------------------
	795	!! Default option NO LIM3 sea-ice model
	796	!!----------------------------------------------------------------------
[825]	797	CONTAINS
	798	SUBROUTINE lim_thd_dh ! Empty routine
	799	END SUBROUTINE lim_thd_dh
	800	#endif
[1572]	801
	802	!!======================================================================
[921]	803	END MODULE limthd_dh

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