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limthd_dh.F90 in branches/2013/dev_LOCEAN_2013/NEMOGCM/NEMO/LIM_SRC_3 – NEMO

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source: branches/2013/dev_LOCEAN_2013/NEMOGCM/NEMO/LIM_SRC_3/limthd_dh.F90 @ 4161

Last change on this file since 4161 was 4161, checked in by cetlod, 10 years ago
dev_LOCEAN_2013 : merge in the 3rd dev branch dev_r4028_CNRS_LIM3, see ticket #1169
Property svn:keywords set to `Id`
File size: 36.5 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
[4161]	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
[1572]	34	REAL(wp) :: epsi20 = 1e-20 ! constant values
	35	REAL(wp) :: epsi13 = 1e-13 !
	36	REAL(wp) :: epsi16 = 1e-16 !
	37	REAL(wp) :: zzero = 0.e0 !
	38	REAL(wp) :: zone = 1.e0 !
[825]	39
	40	!!----------------------------------------------------------------------
[4161]	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
[4161]	75	INTEGER :: ii, ij ! 2D corresponding indices to ji
[1572]	76	INTEGER :: isnow ! switch for presence (1) or absence (0) of snow
	77	INTEGER :: isnowic ! snow ice formation not
	78	INTEGER :: i_ice_switch ! ice thickness above a certain treshold or not
	79	INTEGER :: iter
[825]	80
[2715]	81	REAL(wp) :: zzfmass_i, zihgnew ! local scalar
	82	REAL(wp) :: zzfmass_s, zhsnew, ztmelts ! local scalar
[1572]	83	REAL(wp) :: zhn, zdhcf, zdhbf, zhni, zhnfi, zihg !
[2715]	84	REAL(wp) :: zdhnm, zhnnew, zhisn, zihic, zzc !
[1572]	85	REAL(wp) :: zfracs ! fractionation coefficient for bottom salt entrapment
	86	REAL(wp) :: zcoeff ! dummy argument for snowfall partitioning over ice and leads
	87	REAL(wp) :: zsm_snowice ! snow-ice salinity
	88	REAL(wp) :: zswi1 ! switch for computation of bottom salinity
	89	REAL(wp) :: zswi12 ! switch for computation of bottom salinity
	90	REAL(wp) :: zswi2 ! switch for computation of bottom salinity
	91	REAL(wp) :: zgrr ! bottom growth rate
	92	REAL(wp) :: ztform ! bottom formation temperature
[2715]	93	!
[3294]	94	REAL(wp), POINTER, DIMENSION(:) :: zh_i ! ice layer thickness
	95	REAL(wp), POINTER, DIMENSION(:) :: zh_s ! snow layer thickness
	96	REAL(wp), POINTER, DIMENSION(:) :: ztfs ! melting point
	97	REAL(wp), POINTER, DIMENSION(:) :: zhsold ! old snow thickness
	98	REAL(wp), POINTER, DIMENSION(:) :: zqprec ! energy of fallen snow
	99	REAL(wp), POINTER, DIMENSION(:) :: zqfont_su ! incoming, remaining surface energy
	100	REAL(wp), POINTER, DIMENSION(:) :: zqfont_bo ! incoming, bottom energy
	101	REAL(wp), POINTER, DIMENSION(:) :: z_f_surf ! surface heat for ablation
	102	REAL(wp), POINTER, DIMENSION(:) :: zhgnew ! new ice thickness
	103	REAL(wp), POINTER, DIMENSION(:) :: zfmass_i !
	104
[3625]	105	REAL(wp), POINTER, DIMENSION(:) :: zdh_s_mel ! snow melt
	106	REAL(wp), POINTER, DIMENSION(:) :: zdh_s_pre ! snow precipitation
	107	REAL(wp), POINTER, DIMENSION(:) :: zdh_s_sub ! snow sublimation
[3294]	108
	109	REAL(wp), POINTER, DIMENSION(:,:) :: zdeltah
	110
	111	! Pathological cases
	112	REAL(wp), POINTER, DIMENSION(:) :: zfdt_init ! total incoming heat for ice melt
	113	REAL(wp), POINTER, DIMENSION(:) :: zfdt_final ! total remaing heat for ice melt
	114	REAL(wp), POINTER, DIMENSION(:) :: zqt_i ! total ice heat content
	115	REAL(wp), POINTER, DIMENSION(:) :: zqt_s ! total snow heat content
	116	REAL(wp), POINTER, DIMENSION(:) :: zqt_dummy ! dummy heat content
	117
	118	REAL(wp), POINTER, DIMENSION(:,:) :: zqt_i_lay ! total ice heat content
	119
[4161]	120	! mass and salt flux (clem)
	121	REAL(wp) :: zdvres, zdvsur, zdvbot
	122	REAL(wp), POINTER, DIMENSION(:) :: zviold, zvsold ! old ice volume...
	123
[3294]	124	! Heat conservation
	125	INTEGER :: num_iter_max, numce_dh
	126	REAL(wp) :: meance_dh
	127	REAL(wp), POINTER, DIMENSION(:) :: zinnermelt
	128	REAL(wp), POINTER, DIMENSION(:) :: zfbase, zdq_i
[1572]	129	!!------------------------------------------------------------------
[825]	130
[3294]	131	CALL wrk_alloc( jpij, zh_i, zh_s, ztfs, zhsold, zqprec, zqfont_su, zqfont_bo, z_f_surf, zhgnew, zfmass_i )
[4161]	132	CALL wrk_alloc( jpij, zdh_s_mel, zdh_s_pre, zdh_s_sub, zfdt_init, zfdt_final, zqt_i, zqt_s, zqt_dummy )
[3294]	133	CALL wrk_alloc( jpij, zinnermelt, zfbase, zdq_i )
	134	CALL wrk_alloc( jpij, jkmax, zdeltah, zqt_i_lay )
[825]	135
[4161]	136	CALL wrk_alloc( jpij, zviold, zvsold ) ! clem
	137
[3625]	138	ftotal_fin(:) = 0._wp
	139	zfdt_init (:) = 0._wp
	140	zfdt_final(:) = 0._wp
[2715]	141
[4161]	142	dh_i_surf (:) = 0._wp
	143	dh_i_bott (:) = 0._wp
	144	dh_snowice(:) = 0._wp
	145
[825]	146	DO ji = kideb, kiut
	147	old_ht_i_b(ji) = ht_i_b(ji)
	148	old_ht_s_b(ji) = ht_s_b(ji)
[4161]	149	zviold(ji) = a_i_b(ji) * ht_i_b(ji) ! clem
	150	zvsold(ji) = a_i_b(ji) * ht_s_b(ji) ! clem
[825]	151	END DO
[921]	152	!
	153	!------------------------------------------------------------------------------!
	154	! 1) Calculate available heat for surface ablation !
	155	!------------------------------------------------------------------------------!
	156	!
[2715]	157	DO ji = kideb, kiut
[3625]	158	isnow = INT( 1.0 - MAX( 0.0 , SIGN( 1.0 , - ht_s_b(ji) ) ) )
	159	ztfs (ji) = isnow * rtt + ( 1.0 - isnow ) * rtt
	160	z_f_surf (ji) = qnsr_ice_1d(ji) + ( 1.0 - i0(ji) ) * qsr_ice_1d(ji) - fc_su(ji)
	161	z_f_surf (ji) = MAX( zzero , z_f_surf(ji) ) * MAX( zzero , SIGN( zone , t_su_b(ji) - ztfs(ji) ) )
[1572]	162	zfdt_init(ji) = ( z_f_surf(ji) + MAX( fbif_1d(ji) + qlbbq_1d(ji) + fc_bo_i(ji),0.0 ) ) * rdt_ice
[825]	163	END DO ! ji
	164
[2715]	165	zqfont_su (:) = 0._wp
	166	zqfont_bo (:) = 0._wp
	167	dsm_i_se_1d(:) = 0._wp
	168	dsm_i_si_1d(:) = 0._wp
[921]	169	!
	170	!------------------------------------------------------------------------------!
	171	! 2) Computing layer thicknesses and snow and sea-ice enthalpies. !
	172	!------------------------------------------------------------------------------!
	173	!
[2715]	174	DO ji = kideb, kiut ! Layer thickness
[4161]	175	zh_i(ji) = ht_i_b(ji) / REAL( nlay_i )
	176	zh_s(ji) = ht_s_b(ji) / REAL( nlay_s )
[825]	177	END DO
[2715]	178	!
	179	zqt_s(:) = 0._wp ! Total enthalpy of the snow
[825]	180	DO jk = 1, nlay_s
[2715]	181	DO ji = kideb, kiut
[4161]	182	zqt_s(ji) = zqt_s(ji) + q_s_b(ji,jk) * ht_s_b(ji) / REAL( nlay_s )
[825]	183	END DO
	184	END DO
[2715]	185	!
	186	zqt_i(:) = 0._wp ! Total enthalpy of the ice
[825]	187	DO jk = 1, nlay_i
[2715]	188	DO ji = kideb, kiut
[4161]	189	zzc = q_i_b(ji,jk) * ht_i_b(ji) / REAL( nlay_i )
[2715]	190	zqt_i(ji) = zqt_i(ji) + zzc
	191	zqt_i_lay(ji,jk) = zzc
[825]	192	END DO
	193	END DO
[921]	194	!
	195	!------------------------------------------------------------------------------\|
	196	! 3) Surface ablation and sublimation \|
	197	!------------------------------------------------------------------------------\|
	198	!
[834]	199	!-------------------------
	200	! 3.1 Snow precips / melt
	201	!-------------------------
[825]	202	! Snow accumulation in one thermodynamic time step
	203	! snowfall is partitionned between leads and ice
	204	! if snow fall was uniform, a fraction (1-at_i) would fall into leads
	205	! but because of the winds, more snow falls on leads than on sea ice
	206	! and a greater fraction (1-at_i)^beta of the total mass of snow
[834]	207	! (beta < 1) falls in leads.
[825]	208	! In reality, beta depends on wind speed,
	209	! and should decrease with increasing wind speed but here, it is
[834]	210	! considered as a constant. an average value is 0.66
[825]	211	! Martin Vancoppenolle, December 2006
	212
	213	! Snow fall
	214	DO ji = kideb, kiut
	215	zcoeff = ( 1.0 - ( 1.0 - at_i_b(ji) )**betas ) / at_i_b(ji)
	216	zdh_s_pre(ji) = zcoeff * sprecip_1d(ji) * rdt_ice / rhosn
	217	END DO
[2715]	218	zdh_s_mel(:) = 0._wp
[825]	219
	220	! Melt of fallen snow
	221	DO ji = kideb, kiut
	222	! tatm_ice is now in K
[1572]	223	zqprec (ji) = rhosn * ( cpic * ( rtt - tatm_ice_1d(ji) ) + lfus )
	224	zqfont_su(ji) = z_f_surf(ji) * rdt_ice
	225	zdeltah (ji,1) = MIN( 0.e0 , - zqfont_su(ji) / MAX( zqprec(ji) , epsi13 ) )
	226	zqfont_su(ji) = MAX( 0.e0 , - zdh_s_pre(ji) - zdeltah(ji,1) ) * zqprec(ji)
	227	zdeltah (ji,1) = MAX( - zdh_s_pre(ji) , zdeltah(ji,1) )
	228	zdh_s_mel(ji) = zdh_s_mel(ji) + zdeltah(ji,1)
[825]	229	! heat conservation
[1572]	230	qt_s_in(ji,jl) = qt_s_in(ji,jl) + zqprec(ji) * zdh_s_pre(ji)
	231	zqt_s (ji) = zqt_s (ji) + zqprec(ji) * zdh_s_pre(ji)
	232	zqt_s (ji) = MAX( zqt_s(ji) - zqfont_su(ji) , 0.e0 )
[825]	233	END DO
	234
	235
	236	! Snow melt due to surface heat imbalance
	237	DO jk = 1, nlay_s
	238	DO ji = kideb, kiut
[1572]	239	zdeltah (ji,jk) = - zqfont_su(ji) / q_s_b(ji,jk)
	240	zqfont_su(ji) = MAX( 0.0 , - zh_s(ji) - zdeltah(ji,jk) ) * q_s_b(ji,jk)
	241	zdeltah (ji,jk) = MAX( zdeltah(ji,jk) , - zh_s(ji) )
	242	zdh_s_mel(ji) = zdh_s_mel(ji) + zdeltah(ji,jk) ! resulting melt of snow
[825]	243	END DO
	244	END DO
	245
	246	! Apply snow melt to snow depth
	247	DO ji = kideb, kiut
	248	dh_s_tot(ji) = zdh_s_mel(ji) + zdh_s_pre(ji)
	249	! Old and new snow depths
	250	zhsold(ji) = ht_s_b(ji)
	251	zhsnew = ht_s_b(ji) + dh_s_tot(ji)
	252	! If snow is still present zhn = 1, else zhn = 0
[3625]	253	zhn = 1.0 - MAX( zzero , SIGN( zone , - zhsnew ) )
[825]	254	ht_s_b(ji) = MAX( zzero , zhsnew )
[4161]	255	! we recompute dh_s_tot (clem)
	256	dh_s_tot (ji) = ht_s_b(ji) - zhsold(ji)
[825]	257	! Volume and mass variations of snow
[3625]	258	dvsbq_1d (ji) = a_i_b(ji) * ( ht_s_b(ji) - zhsold(ji) - zdh_s_pre(ji) )
[1572]	259	dvsbq_1d (ji) = MIN( zzero, dvsbq_1d(ji) )
[4161]	260	!clem rdm_snw_1d(ji) = rdm_snw_1d(ji) + rhosn * dvsbq_1d(ji)
[825]	261	END DO ! ji
	262
[834]	263	!--------------------------
	264	! 3.2 Surface ice ablation
	265	!--------------------------
[825]	266	DO ji = kideb, kiut
[3625]	267	z_f_surf (ji) = zqfont_su(ji) * r1_rdtice ! heat conservation test
[2715]	268	zdq_i (ji) = 0._wp
[825]	269	END DO ! ji
	270
	271	DO jk = 1, nlay_i
	272	DO ji = kideb, kiut
[1572]	273	! ! melt of layer jk
	274	zdeltah (ji,jk) = - zqfont_su(ji) / q_i_b(ji,jk)
	275	! ! recompute heat available
[3625]	276	zqfont_su(ji ) = MAX( 0.0 , - zh_i(ji) - zdeltah(ji,jk) ) * q_i_b(ji,jk)
[1572]	277	! ! melt of layer jk cannot be higher than its thickness
	278	zdeltah (ji,jk) = MAX( zdeltah(ji,jk) , - zh_i(ji) )
	279	! ! update surface melt
[3625]	280	dh_i_surf(ji ) = dh_i_surf(ji) + zdeltah(ji,jk)
[1572]	281	! ! for energy conservation
[3625]	282	zdq_i (ji ) = zdq_i(ji) + zdeltah(ji,jk) * q_i_b(ji,jk) * r1_rdtice
[1572]	283	!
[4161]	284	! clem
	285	sfx_thd_1d(ji) = sfx_thd_1d(ji) - sm_i_b(ji) * a_i_b(ji) &
	286	& * MIN( zdeltah(ji,jk) , 0._wp ) * rhoic / rdt_ice
[1572]	287	END DO
	288	END DO
[825]	289
[1572]	290	! !-------------------
	291	IF( con_i ) THEN ! Conservation test
	292	! !-------------------
	293	numce_dh = 0
[2715]	294	meance_dh = 0._wp
[921]	295	DO ji = kideb, kiut
	296	IF ( ( z_f_surf(ji) + zdq_i(ji) ) .GE. 1.0e-3 ) THEN
	297	numce_dh = numce_dh + 1
	298	meance_dh = meance_dh + z_f_surf(ji) + zdq_i(ji)
	299	ENDIF
[1572]	300	IF( z_f_surf(ji) + zdq_i(ji) .GE. 1.0e-3 ) THEN!
[921]	301	WRITE(numout,*) ' ALERTE heat loss for surface melt '
[3625]	302	WRITE(numout,*) ' ii, ij, jl :', ii, ij, jl
[2715]	303	WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji)
	304	WRITE(numout,*) ' z_f_surf : ', z_f_surf(ji)
	305	WRITE(numout,*) ' zdq_i : ', zdq_i(ji)
	306	WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji)
	307	WRITE(numout,*) ' fc_bo_i : ', fc_bo_i(ji)
	308	WRITE(numout,*) ' fbif_1d : ', fbif_1d(ji)
	309	WRITE(numout,*) ' qlbbq_1d : ', qlbbq_1d(ji)
	310	WRITE(numout,*) ' s_i_new : ', s_i_new(ji)
[3625]	311	WRITE(numout,*) ' sss_m : ', sss_m(ii,ij)
[921]	312	ENDIF
[1572]	313	END DO
	314	!
	315	IF( numce_dh > 0 ) meance_dh = meance_dh / numce_dh
[921]	316	WRITE(numout,*) ' Error report - Category : ', jl
	317	WRITE(numout,*) ' ~~~~~~~~~~~~ '
	318	WRITE(numout,*) ' Number of points where there is sur. me. error : ', numce_dh
	319	WRITE(numout,*) ' Mean basal growth error on error points : ', meance_dh
[1572]	320	!
	321	ENDIF
[825]	322
[834]	323	!----------------------
	324	! 3.3 Snow sublimation
	325	!----------------------
[825]	326
	327	DO ji = kideb, kiut
[3808]	328	! qla_ice is always >=0 (upwards), heat goes to the atmosphere, therefore snow sublimates
	329	#if defined key_coupled
	330	zdh_s_sub(ji) = 0._wp ! coupled mode: sublimation already included in emp_ice (to do in limsbc_ice)
	331	#else
	332	! ! forced mode: snow thickness change due to sublimation
[1572]	333	zdh_s_sub(ji) = - parsub * qla_ice_1d(ji) / ( rhosn * lsub ) * rdt_ice
[3808]	334	#endif
[1572]	335	dh_s_tot (ji) = dh_s_tot(ji) + zdh_s_sub(ji)
	336	zdhcf = ht_s_b(ji) + zdh_s_sub(ji)
	337	ht_s_b (ji) = MAX( zzero , zdhcf )
[825]	338	! we recompute dh_s_tot
[1572]	339	dh_s_tot (ji) = ht_s_b(ji) - zhsold(ji)
	340	qt_s_in (ji,jl) = qt_s_in(ji,jl) + zdh_s_sub(ji)*q_s_b(ji,1)
	341	END DO
[825]	342
[1572]	343	zqt_dummy(:) = 0.e0
[825]	344	DO jk = 1, nlay_s
	345	DO ji = kideb,kiut
[1572]	346	q_s_b (ji,jk) = rhosn * ( cpic * ( rtt - t_s_b(ji,jk) ) + lfus )
[4161]	347	zqt_dummy(ji) = zqt_dummy(ji) + q_s_b(ji,jk) * ht_s_b(ji) / REAL( nlay_s ) ! heat conservation
[825]	348	END DO
	349	END DO
	350
[1572]	351	DO jk = 1, nlay_s
	352	DO ji = kideb, kiut
	353	! In case of disparition of the snow, we have to update the snow temperatures
[3625]	354	zhisn = MAX( zzero , SIGN( zone, - ht_s_b(ji) ) )
[825]	355	t_s_b(ji,jk) = ( 1.0 - zhisn ) * t_s_b(ji,jk) + zhisn * rtt
	356	q_s_b(ji,jk) = ( 1.0 - zhisn ) * q_s_b(ji,jk)
	357	END DO
[921]	358	END DO
[825]	359
[921]	360	!
	361	!------------------------------------------------------------------------------!
	362	! 4) Basal growth / melt !
	363	!------------------------------------------------------------------------------!
	364	!
[825]	365	! Ice basal growth / melt is given by the ratio of heat budget over basal
	366	! ice heat content. Basal heat budget is given by the difference between
	367	! the inner conductive flux (fc_bo_i), from the open water heat flux
	368	! (qlbbqb) and the turbulent ocean flux (fbif).
[834]	369	! fc_bo_i is positive downwards. fbif and qlbbq are positive to the ice
[825]	370
[834]	371	!-----------------------------------------------------
	372	! 4.1 Basal growth - (a) salinity not varying in time
	373	!-----------------------------------------------------
[3625]	374	IF( num_sal /= 2 ) THEN ! ice salinity constant in time
[825]	375	DO ji = kideb, kiut
[3625]	376	IF( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) < 0._wp ) THEN
[825]	377	s_i_new(ji) = sm_i_b(ji)
	378	! Melting point in K
	379	ztmelts = - tmut * s_i_new(ji) + rtt
	380	! New ice heat content (Bitz and Lipscomb, 1999)
	381	ztform = t_i_b(ji,nlay_i) ! t_bo_b crashes in the
[921]	382	! Baltic
[1572]	383	q_i_b(ji,nlay_i+1) = rhoic * ( cpic * ( ztmelts - ztform ) &
	384	& + lfus * ( 1.0 - ( ztmelts - rtt ) / ( ztform - rtt ) ) &
	385	& - rcp * ( ztmelts - rtt ) )
[825]	386	! Basal growth rate = - F*dt / q
[3625]	387	dh_i_bott(ji) = - rdt_ice * ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) / q_i_b(ji,nlay_i+1)
[4161]	388	sfx_thd_1d(ji) = sfx_thd_1d(ji) - s_i_new(ji) * a_i_b(ji) * dh_i_bott(ji) * rhoic * r1_rdtice
[1572]	389	ENDIF
	390	END DO
	391	ENDIF
[825]	392
[834]	393	!-------------------------------------------------
	394	! 4.1 Basal growth - (b) salinity varying in time
	395	!-------------------------------------------------
[3625]	396	IF( num_sal == 2 ) THEN
	397	! the growth rate (dh_i_bott) is function of the new ice heat content (q_i_b(nlay_i+1)).
	398	! q_i_b depends on the new ice salinity (snewice).
	399	! snewice depends on dh_i_bott ; it converges quickly, so, no problem
[834]	400	! See Vancoppenolle et al., OM08 for more info on this
[825]	401
	402	! Initial value (tested 1D, can be anything between 1 and 20)
	403	num_iter_max = 4
[1572]	404	s_i_new(:) = 4.0
[825]	405
	406	! Iterative procedure
	407	DO iter = 1, num_iter_max
	408	DO ji = kideb, kiut
[1572]	409	IF( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) < 0.e0 ) THEN
[3625]	410	ii = MOD( npb(ji) - 1, jpi ) + 1
	411	ij = ( npb(ji) - 1 ) / jpi + 1
[825]	412	! Melting point in K
	413	ztmelts = - tmut * s_i_new(ji) + rtt
	414	! New ice heat content (Bitz and Lipscomb, 1999)
[1572]	415	q_i_b(ji,nlay_i+1) = rhoic * ( cpic * ( ztmelts - t_bo_b(ji) ) &
	416	& + lfus * ( 1.0 - ( ztmelts - rtt ) / ( t_bo_b(ji) - rtt ) ) &
	417	& - rcp * ( ztmelts-rtt ) )
[825]	418	! Bottom growth rate = - F*dt / q
[1572]	419	dh_i_bott(ji) = - rdt_ice * ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) / q_i_b(ji,nlay_i+1)
[825]	420	! New ice salinity ( Cox and Weeks, JGR, 1988 )
	421	! zswi2 (1) if dh_i_bott/rdt .GT. 3.6e-7
	422	! zswi12 (1) if dh_i_bott/rdt .LT. 3.6e-7 and .GT. 2.0e-8
	423	! zswi1 (1) if dh_i_bott/rdt .LT. 2.0e-8
[3625]	424	zgrr = MIN( 1.0e-3, MAX ( dh_i_bott(ji) * r1_rdtice , epsi13 ) )
[825]	425	zswi2 = MAX( zzero , SIGN( zone , zgrr - 3.6e-7 ) )
	426	zswi12 = MAX( zzero , SIGN( zone , zgrr - 2.0e-8 ) ) * ( 1.0 - zswi2 )
	427	zswi1 = 1. - zswi2 * zswi12
[1572]	428	zfracs = zswi1 * 0.12 + zswi12 * ( 0.8925 + 0.0568 * LOG( 100.0 * zgrr ) ) &
	429	& + zswi2 * 0.26 / ( 0.26 + 0.74 * EXP ( - 724300.0 * zgrr ) )
[4161]	430	zfracs = MIN( 0.5 , zfracs )
[3625]	431	s_i_new(ji) = zfracs * sss_m(ii,ij)
[825]	432	ENDIF ! fc_bo_i
	433	END DO ! ji
	434	END DO ! iter
	435
	436	! Final values
	437	DO ji = kideb, kiut
[1572]	438	IF( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) .LT. 0.0 ) THEN
[4161]	439	! New ice salinity must not exceed 20 psu
[825]	440	s_i_new(ji) = MIN( s_i_new(ji), s_i_max )
	441	! Metling point in K
	442	ztmelts = - tmut * s_i_new(ji) + rtt
	443	! New ice heat content (Bitz and Lipscomb, 1999)
[1572]	444	q_i_b(ji,nlay_i+1) = rhoic * ( cpic * ( ztmelts - t_bo_b(ji) ) &
	445	& + lfus * ( 1.0 - ( ztmelts - rtt ) / ( t_bo_b(ji) - rtt ) ) &
	446	& - rcp * ( ztmelts - rtt ) )
[825]	447	! Basal growth rate = - F*dt / q
[3625]	448	dh_i_bott(ji) = - rdt_ice * ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) / q_i_b(ji,nlay_i+1)
[834]	449	! Salinity update
[825]	450	! entrapment during bottom growth
[4161]	451	sfx_thd_1d(ji) = sfx_thd_1d(ji) - s_i_new(ji) * a_i_b(ji) * dh_i_bott(ji) * rhoic * r1_rdtice
[825]	452	ENDIF ! heat budget
[1572]	453	END DO
	454	ENDIF
[825]	455
[834]	456	!----------------
	457	! 4.2 Basal melt
	458	!----------------
[2715]	459	meance_dh = 0._wp
[1572]	460	numce_dh = 0
[2715]	461	zinnermelt(:) = 0._wp
[825]	462
	463	DO ji = kideb, kiut
	464	! heat convergence at the surface > 0
[2715]	465	IF( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) >= 0._wp ) THEN
[825]	466	s_i_new(ji) = s_i_b(ji,nlay_i)
	467	zqfont_bo(ji) = rdt_ice * ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) )
[3625]	468	zfbase(ji) = zqfont_bo(ji) * r1_rdtice ! heat conservation test
[2715]	469	zdq_i(ji) = 0._wp
	470	dh_i_bott(ji) = 0._wp
[825]	471	ENDIF
	472	END DO
	473
	474	DO jk = nlay_i, 1, -1
	475	DO ji = kideb, kiut
[3625]	476	IF( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) >= 0._wp ) THEN
	477	ztmelts = - tmut * s_i_b(ji,jk) + rtt
	478	IF( t_i_b(ji,jk) >= ztmelts ) THEN !!gm : a comment is needed
	479	zdeltah (ji,jk) = - zh_i(ji)
	480	dh_i_bott (ji ) = dh_i_bott(ji) + zdeltah(ji,jk)
	481	zinnermelt(ji ) = 1._wp
	482	ELSE ! normal ablation
	483	zdeltah (ji,jk) = - zqfont_bo(ji) / q_i_b(ji,jk)
	484	zqfont_bo(ji ) = MAX( 0.0 , - zh_i(ji) - zdeltah(ji,jk) ) * q_i_b(ji,jk)
	485	zdeltah (ji,jk) = MAX(zdeltah(ji,jk), - zh_i(ji) )
	486	dh_i_bott(ji ) = dh_i_bott(ji) + zdeltah(ji,jk)
	487	zdq_i (ji ) = zdq_i(ji) + zdeltah(ji,jk) * q_i_b(ji,jk) * r1_rdtice
[825]	488	ENDIF
[4161]	489	! clem: contribution to salt flux
	490	sfx_thd_1d(ji) = sfx_thd_1d(ji) - sm_i_b(ji) * a_i_b(ji) &
	491	& * MIN( zdeltah(ji,jk) , 0._wp ) * rhoic * r1_rdtice
[825]	492	ENDIF
	493	END DO ! ji
	494	END DO ! jk
	495
[1572]	496	! !-------------------
	497	IF( con_i ) THEN ! Conservation test
	498	! !-------------------
[921]	499	DO ji = kideb, kiut
[1572]	500	IF( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) >= 0.e0 ) THEN
	501	IF( ( zfbase(ji) + zdq_i(ji) ) >= 1.e-3 ) THEN
	502	numce_dh = numce_dh + 1
[921]	503	meance_dh = meance_dh + zfbase(ji) + zdq_i(ji)
	504	ENDIF
	505	IF ( zfbase(ji) + zdq_i(ji) .GE. 1.0e-3 ) THEN
[3625]	506	WRITE(numout,*) ' ALERTE heat loss for basal melt : ii, ij, jl :', ii, ij, jl
[2715]	507	WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji)
	508	WRITE(numout,*) ' zfbase : ', zfbase(ji)
	509	WRITE(numout,*) ' zdq_i : ', zdq_i(ji)
	510	WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji)
	511	WRITE(numout,*) ' fc_bo_i : ', fc_bo_i(ji)
	512	WRITE(numout,*) ' fbif_1d : ', fbif_1d(ji)
	513	WRITE(numout,*) ' qlbbq_1d : ', qlbbq_1d(ji)
	514	WRITE(numout,*) ' s_i_new : ', s_i_new(ji)
[3625]	515	WRITE(numout,*) ' sss_m : ', sss_m(ii,ij)
[921]	516	WRITE(numout,*) ' dh_i_bott : ', dh_i_bott(ji)
[2715]	517	WRITE(numout,*) ' innermelt : ', INT( zinnermelt(ji) )
[921]	518	ENDIF
[1572]	519	ENDIF
	520	END DO
	521	IF( numce_dh > 0 ) meance_dh = meance_dh / numce_dh
[921]	522	WRITE(numout,*) ' Number of points where there is bas. me. error : ', numce_dh
	523	WRITE(numout,*) ' Mean basal melt error on error points : ', meance_dh
	524	WRITE(numout,*) ' Remaining bottom heat : ', zqfont_bo(jiindex_1d)
[1572]	525	!
	526	ENDIF
[825]	527
[921]	528	!
	529	!------------------------------------------------------------------------------!
	530	! 5) Pathological cases !
	531	!------------------------------------------------------------------------------!
	532	!
[834]	533	!----------------------------------------------
	534	! 5.1 Excessive ablation in a 1-category model
	535	!----------------------------------------------
[825]	536
	537	DO ji = kideb, kiut
[1572]	538	! ! in a 1-category sea ice model, bottom ablation must not exceed hmelt (-0.15)
	539	IF( jpl == 1 ) THEN ; zdhbf = MAX( hmelt , dh_i_bott(ji) )
	540	ELSE ; zdhbf = dh_i_bott(ji)
	541	ENDIF
[4161]	542	zdvres = zdhbf - dh_i_bott(ji)
	543	dh_i_bott(ji) = zdhbf
	544	sfx_thd_1d(ji) = sfx_thd_1d(ji) - sm_i_b(ji) * a_i_b(ji) * zdvres * rhoic * r1_rdtice
[1572]	545	! ! excessive energy is sent to lateral ablation
[4161]	546	fsup (ji) = rhoic * lfus * at_i_b(ji) / MAX( 1.0 - at_i_b(ji) , epsi13 ) * zdvres * r1_rdtice
[825]	547	END DO
	548
[834]	549	!-----------------------------------
	550	! 5.2 More than available ice melts
	551	!-----------------------------------
[3625]	552	! then heat applied minus heat content at previous time step should equal heat remaining
[825]	553	!
	554	DO ji = kideb, kiut
	555	! Adapt the remaining energy if too much ice melts
	556	!--------------------------------------------------
[4161]	557	zdvres = MAX( 0._wp, - ht_i_b(ji) - dh_i_surf(ji) - dh_i_bott(ji) )
	558	zdvsur = MIN( 0._wp, dh_i_surf(ji) + zdvres ) - dh_i_surf(ji) ! fill the surface first
	559	zdvbot = MAX( 0._wp, zdvres - zdvsur ) ! then the bottom
	560	dh_i_surf (ji) = dh_i_surf(ji) + zdvsur ! clem
	561	dh_i_bott (ji) = dh_i_bott(ji) + zdvbot ! clem
	562
	563	! new ice thickness (clem)
	564	zhgnew(ji) = ht_i_b(ji) + dh_i_surf(ji) + dh_i_bott(ji)
	565	zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) !1 if ice
	566	zhgnew(ji) = zihgnew * zhgnew(ji) ! ice thickness is put to 0
	567
	568	! !since ice volume is only used for outputs, we keep it global for all categories
	569	dvbbq_1d (ji) = a_i_b(ji) * dh_i_bott(ji)
	570
	571	! remaining heat
[834]	572	zfdt_final(ji) = ( 1.0 - zihgnew ) * ( zqfont_su(ji) + zqfont_bo(ji) )
[825]	573
	574	! If snow remains, energy is used to melt snow
[1572]	575	zhni = ht_s_b(ji) ! snow depth at previous time step
[3625]	576	zihg = MAX( zzero , SIGN ( zone , - ht_s_b(ji) ) ) ! =0 if snow
[825]	577
	578	! energy of melting of remaining snow
[1572]	579	zqt_s(ji) = ( 1. - zihg ) * zqt_s(ji) / MAX( zhni, epsi13 )
	580	zdhnm = - ( 1. - zihg ) * ( 1. - zihgnew ) * zfdt_final(ji) / MAX( zqt_s(ji) , epsi13 )
[3625]	581	zhnfi = zhni + zdhnm
[1572]	582	zfdt_final(ji) = MAX( zfdt_final(ji) + zqt_s(ji) * zdhnm , 0.0 )
[825]	583	ht_s_b(ji) = MAX( zzero , zhnfi )
	584	zqt_s(ji) = zqt_s(ji) * ht_s_b(ji)
[4161]	585	! we recompute dh_s_tot (clem)
	586	dh_s_tot (ji) = ht_s_b(ji) - zhsold(ji)
[825]	587
	588	! Mass variations of ice and snow
	589	!---------------------------------
[1572]	590	! ! mass variation of the jl category
[1571]	591	zzfmass_s = - a_i_b(ji) * ( zhni - ht_s_b(ji) ) * rhosn ! snow
	592	zzfmass_i = a_i_b(ji) * ( zhgnew(ji) - ht_i_b(ji) ) * rhoic ! ice
	593	!
	594	zfmass_i(ji) = zzfmass_i ! ice variation saved to compute salt flux (see below)
	595	!
	596	! ! mass variation cumulated over category
[4161]	597	!clem rdm_snw_1d(ji) = rdm_snw_1d(ji) + zzfmass_s ! snow
	598	!clem rdm_ice_1d(ji) = rdm_ice_1d(ji) + zzfmass_i ! ice
[825]	599
	600	! Remaining heat to the ocean
	601	!---------------------------------
[3625]	602	focea(ji) = - zfdt_final(ji) * r1_rdtice ! focea is in W.m-2 * dt
[825]	603
[4161]	604	! residual salt flux (clem)
	605	!--------------------------
	606	! surface
	607	sfx_thd_1d(ji) = sfx_thd_1d(ji) - sm_i_b(ji) * a_i_b(ji) * zdvsur * rhoic * r1_rdtice
	608	! bottom
	609	IF ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) >= 0._wp ) THEN ! melting
	610	sfx_thd_1d(ji) = sfx_thd_1d(ji) - sm_i_b(ji) * a_i_b(ji) * zdvbot * rhoic * r1_rdtice
	611	ELSE ! growth
	612	sfx_thd_1d(ji) = sfx_thd_1d(ji) - s_i_new(ji) * a_i_b(ji) * zdvbot * rhoic * r1_rdtice
	613	ENDIF
	614	!
	615	! diagnostic ( bottom ice growth )
	616	ii = MOD( npb(ji) - 1, jpi ) + 1
	617	ij = ( npb(ji) - 1 ) / jpi + 1
	618	diag_bot_gr(ii,ij) = diag_bot_gr(ii,ij) + MAX(dh_i_bott(ji),0.0)a_i_b(ji) r1_rdtice
	619	diag_sur_me(ii,ij) = diag_sur_me(ii,ij) + MIN(dh_i_surf(ji),0.0)a_i_b(ji) r1_rdtice
	620	diag_bot_me(ii,ij) = diag_bot_me(ii,ij) + MIN(dh_i_bott(ji),0.0)a_i_b(ji) r1_rdtice
[825]	621	END DO
	622
[3625]	623	ftotal_fin (:) = zfdt_final(:) * r1_rdtice
[825]	624
	625	!---------------------------
[4161]	626	! heat fluxes
[825]	627	!---------------------------
	628	DO ji = kideb, kiut
[3625]	629	zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) ! =1 if ice
	630	!
[825]	631	! Heat flux
	632	! excessive bottom ablation energy (fsup) - 0 except if jpl = 1
[3625]	633	! excessive total ablation energy (focea) sent to the ocean
[1572]	634	qfvbq_1d(ji) = qfvbq_1d(ji) + fsup(ji) + ( 1.0 - zihgnew ) * focea(ji) * a_i_b(ji) * rdt_ice
[825]	635
[3625]	636	zihic = 1.0 - MAX( zzero , SIGN( zone , -ht_i_b(ji) ) ) ! equals 0 if ht_i = 0, 1 if ht_i gt 0
[825]	637	fscbq_1d(ji) = a_i_b(ji) * fstbif_1d(ji)
[3625]	638	qldif_1d(ji) = qldif_1d(ji) + fsup(ji) + ( 1.0 - zihgnew ) * focea (ji) * a_i_b(ji) * rdt_ice &
[1572]	639	& + ( 1.0 - zihic ) * fscbq_1d(ji) * rdt_ice
[825]	640	END DO ! ji
	641
	642	!-------------------------------------------
	643	! Correct temperature, energy and thickness
	644	!-------------------------------------------
	645	DO ji = kideb, kiut
[1572]	646	zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) )
	647	t_su_b(ji) = zihgnew * t_su_b(ji) + ( 1.0 - zihgnew ) * rtt
[825]	648	END DO ! ji
	649
	650	DO jk = 1, nlay_i
	651	DO ji = kideb, kiut
[1572]	652	zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) )
	653	t_i_b(ji,jk) = zihgnew * t_i_b(ji,jk) + ( 1.0 - zihgnew ) * rtt
	654	q_i_b(ji,jk) = zihgnew * q_i_b(ji,jk)
[825]	655	END DO
	656	END DO ! ji
	657
	658	DO ji = kideb, kiut
	659	ht_i_b(ji) = zhgnew(ji)
	660	END DO ! ji
[921]	661	!
	662	!------------------------------------------------------------------------------\|
	663	! 6) Snow-Ice formation \|
	664	!------------------------------------------------------------------------------\|
[1572]	665	! When snow load excesses Archimede's limit, snow-ice interface goes down under sea-level,
	666	! flooding of seawater transforms snow into ice dh_snowice is positive for the ice
[825]	667	DO ji = kideb, kiut
[1572]	668	!
	669	dh_snowice(ji) = MAX( zzero , ( rhosn * ht_s_b(ji) + (rhoic-rau0) * ht_i_b(ji) ) / ( rhosn+rau0-rhoic ) )
	670	zhgnew(ji) = MAX( zhgnew(ji) , zhgnew(ji) + dh_snowice(ji) )
	671	zhnnew = MIN( ht_s_b(ji) , ht_s_b(ji) - dh_snowice(ji) )
[825]	672
[921]	673	! Changes in ice volume and ice mass.
[1572]	674	dvnbq_1d (ji) = a_i_b(ji) * ( zhgnew(ji)-ht_i_b(ji) )
	675	dmgwi_1d (ji) = dmgwi_1d(ji) + a_i_b(ji) * ( ht_s_b(ji) - zhnnew ) * rhosn
[825]	676
[4161]	677	!clem rdm_ice_1d(ji) = rdm_ice_1d(ji) + a_i_b(ji) * ( zhgnew(ji) - ht_i_b(ji) ) * rhoic
	678	!clem rdm_snw_1d(ji) = rdm_snw_1d(ji) + a_i_b(ji) * ( zhnnew - ht_s_b(ji) ) * rhosn
[825]	679
[921]	680	! Equivalent salt flux (1) Snow-ice formation component
	681	! -----------------------------------------------------
[3625]	682	ii = MOD( npb(ji) - 1, jpi ) + 1
	683	ij = ( npb(ji) - 1 ) / jpi + 1
[825]	684
[3625]	685	IF( num_sal == 2 ) THEN ; zsm_snowice = sss_m(ii,ij) * ( rhoic - rhosn ) / rhoic
	686	ELSE ; zsm_snowice = sm_i_b(ji)
[1572]	687	ENDIF
[825]	688	! entrapment during snow ice formation
[4161]	689	! clem: new salinity difference stored (to be used in limthd_ent.F90)
	690	IF ( num_sal == 2 ) THEN
	691	i_ice_switch = 1.0 - MAX( 0.e0 , SIGN( 1.0 , - zhgnew(ji) + epsi13 ) )
	692	! salinity dif due to snow-ice formation
	693	dsm_i_si_1d(ji) = ( zsm_snowice - sm_i_b(ji) ) * dh_snowice(ji) / MAX( zhgnew(ji), epsi13 ) * i_ice_switch
	694	! salinity dif due to bottom growth
	695	IF ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) < 0._wp ) THEN
	696	dsm_i_se_1d(ji) = ( s_i_new(ji) - sm_i_b(ji) ) * dh_i_bott(ji) / MAX( zhgnew(ji), epsi13 ) * i_ice_switch
	697	ENDIF
	698	ENDIF
[825]	699
[921]	700	! Actualize new snow and ice thickness.
[825]	701	ht_s_b(ji) = zhnnew
	702	ht_i_b(ji) = zhgnew(ji)
	703
	704	! Total ablation ! new lines added to debug
[2715]	705	IF( ht_i_b(ji) <= 0._wp ) a_i_b(ji) = 0._wp
[825]	706
	707	! diagnostic ( snow ice growth )
[3625]	708	ii = MOD( npb(ji) - 1, jpi ) + 1
	709	ij = ( npb(ji) - 1 ) / jpi + 1
	710	diag_sni_gr(ii,ij) = diag_sni_gr(ii,ij) + dh_snowice(ji)a_i_b(ji) r1_rdtice
[1572]	711	!
[4161]	712	! salt flux
	713	sfx_thd_1d(ji) = sfx_thd_1d(ji) - zsm_snowice * a_i_b(ji) * dh_snowice(ji) * rhoic * r1_rdtice
	714	!--------------------------------
	715	! Update mass fluxes (clem)
	716	!--------------------------------
	717	rdm_ice_1d(ji) = rdm_ice_1d(ji) + ( a_i_b(ji) * ht_i_b(ji) - zviold(ji) ) * rhoic
	718	rdm_snw_1d(ji) = rdm_snw_1d(ji) + ( a_i_b(ji) * ht_s_b(ji) - zvsold(ji) ) * rhosn
	719
[825]	720	END DO !ji
[2715]	721	!
[3294]	722	CALL wrk_dealloc( jpij, zh_i, zh_s, ztfs, zhsold, zqprec, zqfont_su, zqfont_bo, z_f_surf, zhgnew, zfmass_i )
[4161]	723	CALL wrk_dealloc( jpij, zdh_s_mel, zdh_s_pre, zdh_s_sub, zfdt_init, zfdt_final, zqt_i, zqt_s, zqt_dummy )
[3294]	724	CALL wrk_dealloc( jpij, zinnermelt, zfbase, zdq_i )
	725	CALL wrk_dealloc( jpij, jkmax, zdeltah, zqt_i_lay )
[2715]	726	!
[4161]	727	CALL wrk_dealloc( jpij, zviold, zvsold ) ! clem
	728	!
[921]	729	END SUBROUTINE lim_thd_dh
[1572]	730
[825]	731	#else
[1572]	732	!!----------------------------------------------------------------------
	733	!! Default option NO LIM3 sea-ice model
	734	!!----------------------------------------------------------------------
[825]	735	CONTAINS
	736	SUBROUTINE lim_thd_dh ! Empty routine
	737	END SUBROUTINE lim_thd_dh
	738	#endif
[1572]	739
	740	!!======================================================================
[921]	741	END MODULE limthd_dh

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