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icethd.F90 in NEMO/branches/2020/temporary_r4_trunk/src/ICE – NEMO

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source: NEMO/branches/2020/temporary_r4_trunk/src/ICE/icethd.F90 @ 13466

Last change on this file since 13466 was 13466, checked in by smasson, 4 years ago
r4_trunk: merge r4 13280:13310, see #2523
Property svn:keywords set to `Id`
File size: 35.2 KB

Rev	Line
[8586]	1	MODULE icethd
	2	!!======================================================================
	3	!! * MODULE icethd *
	4	!! sea-ice : master routine for thermodynamics
	5	!!======================================================================
[9656]	6	!! History : 1.0 ! 2000-01 (M.A. Morales Maqueda, H. Goosse, T. Fichefet) original code 1D
[9604]	7	!! 4.0 ! 2018 (many people) SI3 [aka Sea Ice cube]
[8586]	8	!!----------------------------------------------------------------------
[9570]	9	#if defined key_si3
[8586]	10	!!----------------------------------------------------------------------
[9570]	11	!! 'key_si3' SI3 sea-ice model
[8586]	12	!!----------------------------------------------------------------------
	13	!! ice_thd : thermodynamics of sea ice
	14	!! ice_thd_init : initialisation of sea-ice thermodynamics
	15	!!----------------------------------------------------------------------
	16	USE phycst ! physical constants
	17	USE dom_oce ! ocean space and time domain variables
	18	USE ice ! sea-ice: variables
	19	!!gm list trop longue ==>>> why not passage en argument d'appel ?
	20	USE sbc_oce , ONLY : sss_m, sst_m, e3t_m, utau, vtau, ssu_m, ssv_m, frq_m, qns_tot, qsr_tot, sprecip, ln_cpl
	21	USE sbc_ice , ONLY : qsr_oce, qns_oce, qemp_oce, qsr_ice, qns_ice, dqns_ice, evap_ice, qprec_ice, qevap_ice, &
[9910]	22	& qml_ice, qcn_ice, qtr_ice_top
[8586]	23	USE ice1D ! sea-ice: thermodynamics variables
	24	USE icethd_zdf ! sea-ice: vertical heat diffusion
	25	USE icethd_dh ! sea-ice: ice-snow growth and melt
	26	USE icethd_da ! sea-ice: lateral melting
	27	USE icethd_sal ! sea-ice: salinity
	28	USE icethd_ent ! sea-ice: enthalpy redistribution
	29	USE icethd_do ! sea-ice: growth in open water
[8637]	30	USE icethd_pnd ! sea-ice: melt ponds
[8586]	31	USE iceitd ! sea-ice: remapping thickness distribution
	32	USE icetab ! sea-ice: 1D <==> 2D transformation
	33	USE icevar ! sea-ice: operations
	34	USE icectl ! sea-ice: control print
	35	!
	36	USE in_out_manager ! I/O manager
[13466]	37	USE iom ! I/O manager library
[8586]	38	USE lib_mpp ! MPP library
	39	USE lib_fortran ! fortran utilities (glob_sum + no signed zero)
	40	USE lbclnk ! lateral boundary conditions (or mpp links)
	41	USE timing ! Timing
	42
	43	IMPLICIT NONE
	44	PRIVATE
	45
	46	PUBLIC ice_thd ! called by limstp module
	47	PUBLIC ice_thd_init ! called by ice_init
	48
	49	!! namelist (namthd)
	50	LOGICAL :: ln_icedH ! activate ice thickness change from growing/melting (T) or not (F)
	51	LOGICAL :: ln_icedA ! activate lateral melting param. (T) or not (F)
	52	LOGICAL :: ln_icedO ! activate ice growth in open-water (T) or not (F)
	53	LOGICAL :: ln_icedS ! activate gravity drainage and flushing (T) or not (F)
[13466]	54	LOGICAL :: ln_leadhfx ! heat in the leads is used to melt sea-ice before warming the ocean
[8586]	55
[13466]	56	!! for convergence tests
	57	REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: ztice_cvgerr, ztice_cvgstp
	58
[8586]	59	!! * Substitutions
	60	# include "vectopt_loop_substitute.h90"
	61	!!----------------------------------------------------------------------
[9598]	62	!! NEMO/ICE 4.0 , NEMO Consortium (2018)
[10069]	63	!! $Id$
[10068]	64	!! Software governed by the CeCILL license (see ./LICENSE)
[8586]	65	!!----------------------------------------------------------------------
	66	CONTAINS
	67
	68	SUBROUTINE ice_thd( kt )
	69	!!-------------------------------------------------------------------
	70	!! * ROUTINE ice_thd *
	71	!!
	72	!! ** Purpose : This routine manages ice thermodynamics
	73	!!
[9604]	74	!! ** Action : - computation of oceanic sensible heat flux at the ice base
	75	!! energy budget in the leads
	76	!! net fluxes on top of ice and of ocean
	77	!! - selection of grid cells with ice
	78	!! - call ice_thd_zdf for vertical heat diffusion
	79	!! - call ice_thd_dh for vertical ice growth and melt
	80	!! - call ice_thd_pnd for melt ponds
	81	!! - call ice_thd_ent for enthalpy remapping
	82	!! - call ice_thd_sal for ice desalination
	83	!! - call ice_thd_temp to retrieve temperature from ice enthalpy
[9750]	84	!! - call ice_thd_mono for extra lateral ice melt if active virtual thickness distribution
[9604]	85	!! - call ice_thd_da for lateral ice melt
[8586]	86	!! - back to the geographic grid
[9604]	87	!! - call ice_thd_rem for remapping thickness distribution
	88	!! - call ice_thd_do for ice growth in leads
[8637]	89	!!-------------------------------------------------------------------
[8586]	90	INTEGER, INTENT(in) :: kt ! number of iteration
	91	!
	92	INTEGER :: ji, jj, jk, jl ! dummy loop indices
	93	REAL(wp) :: zfric_u, zqld, zqfr, zqfr_neg
	94	REAL(wp), PARAMETER :: zfric_umin = 0._wp ! lower bound for the friction velocity (cice value=5.e-04)
	95	REAL(wp), PARAMETER :: zch = 0.0057_wp ! heat transfer coefficient
	96	REAL(wp), DIMENSION(jpi,jpj) :: zu_io, zv_io, zfric ! ice-ocean velocity (m/s) and frictional velocity (m2/s2)
	97	!
	98	!!-------------------------------------------------------------------
	99	! controls
[9124]	100	IF( ln_timing ) CALL timing_start('icethd') ! timing
	101	IF( ln_icediachk ) CALL ice_cons_hsm(0, 'icethd', rdiag_v, rdiag_s, rdiag_t, rdiag_fv, rdiag_fs, rdiag_ft) ! conservation
[11536]	102	IF( ln_icediachk ) CALL ice_cons2D (0, 'icethd', diag_v, diag_s, diag_t, diag_fv, diag_fs, diag_ft) ! conservation
[8586]	103
	104	IF( kt == nit000 .AND. lwp ) THEN
	105	WRITE(numout,*)
	106	WRITE(numout,*) 'ice_thd: sea-ice thermodynamics'
	107	WRITE(numout,*) '~~~~~~~'
	108	ENDIF
[13466]	109
	110	! convergence tests
	111	IF( ln_zdf_chkcvg ) THEN
	112	ALLOCATE( ztice_cvgerr(jpi,jpj,jpl) , ztice_cvgstp(jpi,jpj,jpl) )
	113	ztice_cvgerr = 0._wp ; ztice_cvgstp = 0._wp
	114	ENDIF
[8586]	115
	116	!---------------------------------------------!
	117	! computation of friction velocity at T points
	118	!---------------------------------------------!
	119	IF( ln_icedyn ) THEN
	120	zu_io(:,:) = u_ice(:,:) - ssu_m(:,:)
	121	zv_io(:,:) = v_ice(:,:) - ssv_m(:,:)
	122	DO jj = 2, jpjm1
	123	DO ji = fs_2, fs_jpim1
	124	zfric(ji,jj) = rn_cio * ( 0.5_wp * &
	125	& ( zu_io(ji,jj) * zu_io(ji,jj) + zu_io(ji-1,jj) * zu_io(ji-1,jj) &
	126	& + zv_io(ji,jj) * zv_io(ji,jj) + zv_io(ji,jj-1) * zv_io(ji,jj-1) ) ) * tmask(ji,jj,1)
	127	END DO
	128	END DO
	129	ELSE ! if no ice dynamics => transmit directly the atmospheric stress to the ocean
	130	DO jj = 2, jpjm1
	131	DO ji = fs_2, fs_jpim1
	132	zfric(ji,jj) = r1_rau0 * SQRT( 0.5_wp * &
	133	& ( utau(ji,jj) * utau(ji,jj) + utau(ji-1,jj) * utau(ji-1,jj) &
	134	& + vtau(ji,jj) * vtau(ji,jj) + vtau(ji,jj-1) * vtau(ji,jj-1) ) ) * tmask(ji,jj,1)
	135	END DO
	136	END DO
	137	ENDIF
[10425]	138	CALL lbc_lnk( 'icethd', zfric, 'T', 1. )
[8586]	139	!
	140	!--------------------------------------------------------------------!
	141	! Partial computation of forcing for the thermodynamic sea ice model
	142	!--------------------------------------------------------------------!
	143	DO jj = 1, jpj
	144	DO ji = 1, jpi
	145	rswitch = tmask(ji,jj,1) * MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) - epsi10 ) ) ! 0 if no ice
	146	!
	147	! ! solar irradiance transmission at the mixed layer bottom and used in the lead heat budget
	148	! ! practically no "direct lateral ablation"
	149	!
	150	! ! net downward heat flux from the ice to the ocean, expressed as a function of ocean
	151	! ! temperature and turbulent mixing (McPhee, 1992)
	152	!
[9922]	153	! --- Energy received in the lead from atm-oce exchanges, zqld is defined everywhere (J.m-2) --- !
[8586]	154	zqld = tmask(ji,jj,1) * rdt_ice * &
	155	& ( ( 1._wp - at_i_b(ji,jj) ) * qsr_oce(ji,jj) * frq_m(ji,jj) + &
	156	& ( 1._wp - at_i_b(ji,jj) ) * qns_oce(ji,jj) + qemp_oce(ji,jj) )
	157
[9922]	158	! --- Energy needed to bring ocean surface layer until its freezing (mostly<0 but >0 if supercooling, J.m-2) --- !
	159	zqfr = rau0 * rcp * e3t_m(ji,jj) * ( t_bo(ji,jj) - ( sst_m(ji,jj) + rt0 ) ) * tmask(ji,jj,1) ! both < 0 (t_bo < sst) and > 0 (t_bo > sst)
	160	zqfr_neg = MIN( zqfr , 0._wp ) ! only < 0
[8586]	161
[9922]	162	! --- Sensible ocean-to-ice heat flux (mostly>0 but <0 if supercooling, W/m2)
	163	zfric_u = MAX( SQRT( zfric(ji,jj) ), zfric_umin )
[10511]	164	qsb_ice_bot(ji,jj) = rswitch * rau0 * rcp * zch * zfric_u * ( ( sst_m(ji,jj) + rt0 ) - t_bo(ji,jj) ) ! W.m-2
[8586]	165
[9913]	166	qsb_ice_bot(ji,jj) = rswitch * MIN( qsb_ice_bot(ji,jj), - zqfr_neg * r1_rdtice / MAX( at_i(ji,jj), epsi10 ) )
	167	! upper bound for qsb_ice_bot: the heat retrieved from the ocean must be smaller than the heat necessary to reach
	168	! the freezing point, so that we do not have SST < T_freeze
	169	! This implies: - ( qsb_ice_bot(ji,jj) * at_i(ji,jj) * rtdice ) - zqfr >= 0
[8586]	170
[9913]	171	!-- Energy Budget of the leads (J.m-2), source of ice growth in open water. Must be < 0 to form ice
	172	qlead(ji,jj) = MIN( 0._wp , zqld - ( qsb_ice_bot(ji,jj) * at_i(ji,jj) * rdt_ice ) - zqfr )
[8586]	173
[10994]	174	! If there is ice and leads are warming => transfer energy from the lead budget and use it for bottom melting
	175	! If the grid cell is fully covered by ice (no leads) => transfer energy from the lead budget to the ice bottom budget
	176	IF( ( zqld >= 0._wp .AND. at_i(ji,jj) > 0._wp ) .OR. at_i(ji,jj) >= (1._wp - epsi10) ) THEN
[13466]	177	IF( ln_leadhfx ) THEN ; fhld(ji,jj) = rswitch * zqld * r1_rdtice / MAX( at_i(ji,jj), epsi10 ) ! divided by at_i since this is (re)multiplied by a_i in icethd_dh.F90
	178	ELSE ; fhld(ji,jj) = 0._wp
	179	ENDIF
[8586]	180	qlead(ji,jj) = 0._wp
	181	ELSE
	182	fhld (ji,jj) = 0._wp
	183	ENDIF
	184	!
	185	! Net heat flux on top of the ice-ocean [W.m-2]
	186	! ---------------------------------------------
[9912]	187	qt_atm_oi(ji,jj) = qns_tot(ji,jj) + qsr_tot(ji,jj)
[8586]	188	END DO
	189	END DO
	190
	191	! In case we bypass open-water ice formation
	192	IF( .NOT. ln_icedO ) qlead(:,:) = 0._wp
[10932]	193	! In case we bypass growing/melting from top and bottom
[8586]	194	IF( .NOT. ln_icedH ) THEN
[9913]	195	qsb_ice_bot(:,:) = 0._wp
	196	fhld (:,:) = 0._wp
[8586]	197	ENDIF
	198
	199	! ---------------------------------------------------------------------
	200	! Net heat flux on top of the ocean after ice thermo (1st step) [W.m-2]
	201	! ---------------------------------------------------------------------
[9913]	202	! First step here : non solar + precip - qlead - qsensible
[8586]	203	! Second step in icethd_dh : heat remaining if total melt (zq_rema)
	204	! Third step in iceupdate.F90 : heat from ice-ocean mass exchange (zf_mass) + solar
[9912]	205	qt_oce_ai(:,:) = ( 1._wp - at_i_b(:,:) ) * qns_oce(:,:) + qemp_oce(:,:) & ! Non solar heat flux received by the ocean
	206	& - qlead(:,:) * r1_rdtice & ! heat flux taken from the ocean where there is open water ice formation
[9913]	207	& - at_i (:,:) * qsb_ice_bot(:,:) & ! heat flux taken by sensible flux
	208	& - at_i (:,:) * fhld (:,:) ! heat flux taken during bottom growth/melt
	209	! ! (fhld should be 0 while bott growth)
[8586]	210	!-------------------------------------------------------------------------------------------!
	211	! Thermodynamic computation (only on grid points covered by ice) => loop over ice categories
	212	!-------------------------------------------------------------------------------------------!
	213	DO jl = 1, jpl
	214
	215	! select ice covered grid points
	216	npti = 0 ; nptidx(:) = 0
	217	DO jj = 1, jpj
	218	DO ji = 1, jpi
	219	IF ( a_i(ji,jj,jl) > epsi10 ) THEN
	220	npti = npti + 1
	221	nptidx(npti) = (jj - 1) * jpi + ji
	222	ENDIF
	223	END DO
	224	END DO
	225
	226	IF( npti > 0 ) THEN ! If there is no ice, do nothing.
	227	!
	228	CALL ice_thd_1d2d( jl, 1 ) ! --- Move to 1D arrays --- !
	229	! ! --- & Change units of e_i, e_s from J/m2 to J/m3 --- !
	230	!
[13466]	231	s_i_new (1:npti) = 0._wp ; dh_s_tot(1:npti) = 0._wp ! --- some init --- ! (important to have them here)
[9750]	232	dh_i_sum (1:npti) = 0._wp ; dh_i_bom(1:npti) = 0._wp ; dh_i_itm (1:npti) = 0._wp
	233	dh_i_sub (1:npti) = 0._wp ; dh_i_bog(1:npti) = 0._wp
	234	dh_snowice(1:npti) = 0._wp ; dh_s_mlt(1:npti) = 0._wp
[10932]	235	!
	236	CALL ice_thd_zdf ! --- Ice-Snow temperature --- !
[8586]	237	!
[10932]	238	IF( ln_icedH ) THEN ! --- Growing/Melting --- !
	239	CALL ice_thd_dh ! Ice-Snow thickness
	240	CALL ice_thd_pnd ! Melt ponds formation
	241	CALL ice_thd_ent( e_i_1d(1:npti,:) ) ! Ice enthalpy remapping
[8586]	242	ENDIF
	243	CALL ice_thd_sal( ln_icedS ) ! --- Ice salinity --- !
	244	!
[10932]	245	CALL ice_thd_temp ! --- Temperature update --- !
[8586]	246	!
[10531]	247	IF( ln_icedH .AND. ln_virtual_itd ) &
[10932]	248	& CALL ice_thd_mono ! --- Extra lateral melting if virtual_itd --- !
[8586]	249	!
[10932]	250	IF( ln_icedA ) CALL ice_thd_da ! --- Lateral melting --- !
[8586]	251	!
	252	CALL ice_thd_1d2d( jl, 2 ) ! --- Change units of e_i, e_s from J/m3 to J/m2 --- !
	253	! ! --- & Move to 2D arrays --- !
	254	ENDIF
	255	!
	256	END DO
[10994]	257	!
[8586]	258	IF( ln_icediachk ) CALL ice_cons_hsm(1, 'icethd', rdiag_v, rdiag_s, rdiag_t, rdiag_fv, rdiag_fs, rdiag_ft)
[11536]	259	IF( ln_icediachk ) CALL ice_cons2D (1, 'icethd', diag_v, diag_s, diag_t, diag_fv, diag_fs, diag_ft)
[8586]	260	!
[10932]	261	IF( jpl > 1 ) CALL ice_itd_rem( kt ) ! --- Transport ice between thickness categories --- !
[8586]	262	!
[10932]	263	IF( ln_icedO ) CALL ice_thd_do ! --- Frazil ice growth in leads --- !
[8586]	264	!
[13466]	265	! convergence tests
	266	IF( ln_zdf_chkcvg ) THEN
	267	CALL iom_put( 'tice_cvgerr', ztice_cvgerr ) ; DEALLOCATE( ztice_cvgerr )
	268	CALL iom_put( 'tice_cvgstp', ztice_cvgstp ) ; DEALLOCATE( ztice_cvgstp )
	269	ENDIF
	270	!
[8586]	271	! controls
[9124]	272	IF( ln_icectl ) CALL ice_prt (kt, iiceprt, jiceprt, 1, ' - ice thermodyn. - ') ! prints
	273	IF( ln_ctl ) CALL ice_prt3D ('icethd') ! prints
	274	IF( ln_timing ) CALL timing_stop('icethd') ! timing
[8586]	275	!
	276	END SUBROUTINE ice_thd
	277
	278
	279	SUBROUTINE ice_thd_temp
	280	!!-----------------------------------------------------------------------
	281	!! * ROUTINE ice_thd_temp *
	282	!!
	283	!! ** Purpose : Computes sea ice temperature (Kelvin) from enthalpy
	284	!!
	285	!! ** Method : Formula (Bitz and Lipscomb, 1999)
	286	!!-------------------------------------------------------------------
	287	INTEGER :: ji, jk ! dummy loop indices
	288	REAL(wp) :: ztmelts, zbbb, zccc ! local scalar
	289	!!-------------------------------------------------------------------
	290	! Recover ice temperature
	291	DO jk = 1, nlay_i
	292	DO ji = 1, npti
[9935]	293	ztmelts = -rTmlt * sz_i_1d(ji,jk)
[8586]	294	! Conversion q(S,T) -> T (second order equation)
[9935]	295	zbbb = ( rcp - rcpi ) * ztmelts + e_i_1d(ji,jk) * r1_rhoi - rLfus
	296	zccc = SQRT( MAX( zbbb * zbbb - 4._wp * rcpi * rLfus * ztmelts, 0._wp ) )
	297	t_i_1d(ji,jk) = rt0 - ( zbbb + zccc ) * 0.5_wp * r1_rcpi
[8586]	298
	299	! mask temperature
	300	rswitch = 1._wp - MAX( 0._wp , SIGN( 1._wp , - h_i_1d(ji) ) )
	301	t_i_1d(ji,jk) = rswitch * t_i_1d(ji,jk) + ( 1._wp - rswitch ) * rt0
	302	END DO
	303	END DO
	304	!
	305	END SUBROUTINE ice_thd_temp
	306
	307
[9750]	308	SUBROUTINE ice_thd_mono
[8586]	309	!!-----------------------------------------------------------------------
[9750]	310	!! * ROUTINE ice_thd_mono *
[8586]	311	!!
[9076]	312	!! ** Purpose : Lateral melting in case virtual_itd
[8586]	313	!! ( dA = A/2h dh )
	314	!!-----------------------------------------------------------------------
	315	INTEGER :: ji ! dummy loop indices
	316	REAL(wp) :: zhi_bef ! ice thickness before thermo
	317	REAL(wp) :: zdh_mel, zda_mel ! net melting
	318	REAL(wp) :: zvi, zvs ! ice/snow volumes
	319	!!-----------------------------------------------------------------------
	320	!
	321	DO ji = 1, npti
[9750]	322	zdh_mel = MIN( 0._wp, dh_i_itm(ji) + dh_i_sum(ji) + dh_i_bom(ji) + dh_snowice(ji) + dh_i_sub(ji) )
[8586]	323	IF( zdh_mel < 0._wp .AND. a_i_1d(ji) > 0._wp ) THEN
	324	zvi = a_i_1d(ji) * h_i_1d(ji)
	325	zvs = a_i_1d(ji) * h_s_1d(ji)
	326	! lateral melting = concentration change
	327	zhi_bef = h_i_1d(ji) - zdh_mel
	328	rswitch = MAX( 0._wp , SIGN( 1._wp , zhi_bef - epsi20 ) )
	329	zda_mel = rswitch * a_i_1d(ji) * zdh_mel / ( 2._wp * MAX( zhi_bef, epsi20 ) )
	330	a_i_1d(ji) = MAX( epsi20, a_i_1d(ji) + zda_mel )
	331	! adjust thickness
	332	h_i_1d(ji) = zvi / a_i_1d(ji)
	333	h_s_1d(ji) = zvs / a_i_1d(ji)
	334	! retrieve total concentration
	335	at_i_1d(ji) = a_i_1d(ji)
	336	END IF
	337	END DO
	338	!
[9750]	339	END SUBROUTINE ice_thd_mono
[8586]	340
	341
	342	SUBROUTINE ice_thd_1d2d( kl, kn )
	343	!!-----------------------------------------------------------------------
	344	!! * ROUTINE ice_thd_1d2d *
	345	!!
	346	!! ** Purpose : move arrays from 1d to 2d and the reverse
	347	!!-----------------------------------------------------------------------
	348	INTEGER, INTENT(in) :: kl ! index of the ice category
	349	INTEGER, INTENT(in) :: kn ! 1= from 2D to 1D ; 2= from 1D to 2D
	350	!
	351	INTEGER :: jk ! dummy loop indices
	352	!!-----------------------------------------------------------------------
	353	!
	354	SELECT CASE( kn )
	355	! !---------------------!
	356	CASE( 1 ) !== from 2D to 1D ==!
	357	! !---------------------!
	358	CALL tab_2d_1d( npti, nptidx(1:npti), at_i_1d(1:npti), at_i )
	359	CALL tab_2d_1d( npti, nptidx(1:npti), a_i_1d (1:npti), a_i (:,:,kl) )
[8637]	360	CALL tab_2d_1d( npti, nptidx(1:npti), h_i_1d (1:npti), h_i (:,:,kl) )
	361	CALL tab_2d_1d( npti, nptidx(1:npti), h_s_1d (1:npti), h_s (:,:,kl) )
[8586]	362	CALL tab_2d_1d( npti, nptidx(1:npti), t_su_1d(1:npti), t_su(:,:,kl) )
[8637]	363	CALL tab_2d_1d( npti, nptidx(1:npti), s_i_1d (1:npti), s_i (:,:,kl) )
[8586]	364	DO jk = 1, nlay_s
[8637]	365	CALL tab_2d_1d( npti, nptidx(1:npti), t_s_1d(1:npti,jk), t_s(:,:,jk,kl) )
	366	CALL tab_2d_1d( npti, nptidx(1:npti), e_s_1d(1:npti,jk), e_s(:,:,jk,kl) )
[8586]	367	END DO
	368	DO jk = 1, nlay_i
[8637]	369	CALL tab_2d_1d( npti, nptidx(1:npti), t_i_1d (1:npti,jk), t_i (:,:,jk,kl) )
	370	CALL tab_2d_1d( npti, nptidx(1:npti), e_i_1d (1:npti,jk), e_i (:,:,jk,kl) )
	371	CALL tab_2d_1d( npti, nptidx(1:npti), sz_i_1d(1:npti,jk), sz_i(:,:,jk,kl) )
[8586]	372	END DO
[8637]	373	CALL tab_2d_1d( npti, nptidx(1:npti), a_ip_1d (1:npti), a_ip (:,:,kl) )
	374	CALL tab_2d_1d( npti, nptidx(1:npti), h_ip_1d (1:npti), h_ip (:,:,kl) )
[13466]	375	CALL tab_2d_1d( npti, nptidx(1:npti), h_il_1d (1:npti), h_il (:,:,kl) )
[8586]	376	!
[9910]	377	CALL tab_2d_1d( npti, nptidx(1:npti), qprec_ice_1d (1:npti), qprec_ice )
	378	CALL tab_2d_1d( npti, nptidx(1:npti), qsr_ice_1d (1:npti), qsr_ice (:,:,kl) )
	379	CALL tab_2d_1d( npti, nptidx(1:npti), qns_ice_1d (1:npti), qns_ice (:,:,kl) )
	380	CALL tab_2d_1d( npti, nptidx(1:npti), evap_ice_1d (1:npti), evap_ice(:,:,kl) )
	381	CALL tab_2d_1d( npti, nptidx(1:npti), dqns_ice_1d (1:npti), dqns_ice(:,:,kl) )
	382	CALL tab_2d_1d( npti, nptidx(1:npti), t_bo_1d (1:npti), t_bo )
	383	CALL tab_2d_1d( npti, nptidx(1:npti), sprecip_1d (1:npti), sprecip )
[9913]	384	CALL tab_2d_1d( npti, nptidx(1:npti), qsb_ice_bot_1d(1:npti), qsb_ice_bot )
[9910]	385	CALL tab_2d_1d( npti, nptidx(1:npti), fhld_1d (1:npti), fhld )
[8813]	386
[9910]	387	CALL tab_2d_1d( npti, nptidx(1:npti), qml_ice_1d (1:npti), qml_ice (:,:,kl) )
	388	CALL tab_2d_1d( npti, nptidx(1:npti), qcn_ice_1d (1:npti), qcn_ice (:,:,kl) )
	389	CALL tab_2d_1d( npti, nptidx(1:npti), qtr_ice_top_1d(1:npti), qtr_ice_top(:,:,kl) )
[8586]	390	!
	391	CALL tab_2d_1d( npti, nptidx(1:npti), wfx_snw_sni_1d(1:npti), wfx_snw_sni )
	392	CALL tab_2d_1d( npti, nptidx(1:npti), wfx_snw_sum_1d(1:npti), wfx_snw_sum )
	393	CALL tab_2d_1d( npti, nptidx(1:npti), wfx_sub_1d (1:npti), wfx_sub )
	394	CALL tab_2d_1d( npti, nptidx(1:npti), wfx_snw_sub_1d(1:npti), wfx_snw_sub )
	395	CALL tab_2d_1d( npti, nptidx(1:npti), wfx_ice_sub_1d(1:npti), wfx_ice_sub )
	396	CALL tab_2d_1d( npti, nptidx(1:npti), wfx_err_sub_1d(1:npti), wfx_err_sub )
	397	!
	398	CALL tab_2d_1d( npti, nptidx(1:npti), wfx_bog_1d (1:npti), wfx_bog )
	399	CALL tab_2d_1d( npti, nptidx(1:npti), wfx_bom_1d (1:npti), wfx_bom )
	400	CALL tab_2d_1d( npti, nptidx(1:npti), wfx_sum_1d (1:npti), wfx_sum )
	401	CALL tab_2d_1d( npti, nptidx(1:npti), wfx_sni_1d (1:npti), wfx_sni )
	402	CALL tab_2d_1d( npti, nptidx(1:npti), wfx_res_1d (1:npti), wfx_res )
	403	CALL tab_2d_1d( npti, nptidx(1:npti), wfx_spr_1d (1:npti), wfx_spr )
	404	CALL tab_2d_1d( npti, nptidx(1:npti), wfx_lam_1d (1:npti), wfx_lam )
[8637]	405	CALL tab_2d_1d( npti, nptidx(1:npti), wfx_pnd_1d (1:npti), wfx_pnd )
[8586]	406	!
	407	CALL tab_2d_1d( npti, nptidx(1:npti), sfx_bog_1d (1:npti), sfx_bog )
	408	CALL tab_2d_1d( npti, nptidx(1:npti), sfx_bom_1d (1:npti), sfx_bom )
	409	CALL tab_2d_1d( npti, nptidx(1:npti), sfx_sum_1d (1:npti), sfx_sum )
	410	CALL tab_2d_1d( npti, nptidx(1:npti), sfx_sni_1d (1:npti), sfx_sni )
	411	CALL tab_2d_1d( npti, nptidx(1:npti), sfx_bri_1d (1:npti), sfx_bri )
	412	CALL tab_2d_1d( npti, nptidx(1:npti), sfx_res_1d (1:npti), sfx_res )
	413	CALL tab_2d_1d( npti, nptidx(1:npti), sfx_sub_1d (1:npti), sfx_sub )
	414	CALL tab_2d_1d( npti, nptidx(1:npti), sfx_lam_1d (1:npti), sfx_lam )
	415	!
[9910]	416	CALL tab_2d_1d( npti, nptidx(1:npti), hfx_thd_1d (1:npti), hfx_thd )
	417	CALL tab_2d_1d( npti, nptidx(1:npti), hfx_spr_1d (1:npti), hfx_spr )
	418	CALL tab_2d_1d( npti, nptidx(1:npti), hfx_sum_1d (1:npti), hfx_sum )
	419	CALL tab_2d_1d( npti, nptidx(1:npti), hfx_bom_1d (1:npti), hfx_bom )
	420	CALL tab_2d_1d( npti, nptidx(1:npti), hfx_bog_1d (1:npti), hfx_bog )
	421	CALL tab_2d_1d( npti, nptidx(1:npti), hfx_dif_1d (1:npti), hfx_dif )
	422	CALL tab_2d_1d( npti, nptidx(1:npti), hfx_opw_1d (1:npti), hfx_opw )
	423	CALL tab_2d_1d( npti, nptidx(1:npti), hfx_snw_1d (1:npti), hfx_snw )
	424	CALL tab_2d_1d( npti, nptidx(1:npti), hfx_sub_1d (1:npti), hfx_sub )
	425	CALL tab_2d_1d( npti, nptidx(1:npti), hfx_res_1d (1:npti), hfx_res )
[8586]	426	CALL tab_2d_1d( npti, nptidx(1:npti), hfx_err_dif_1d(1:npti), hfx_err_dif )
[9912]	427	CALL tab_2d_1d( npti, nptidx(1:npti), qt_oce_ai_1d (1:npti), qt_oce_ai )
[8586]	428	!
	429	! ocean surface fields
	430	CALL tab_2d_1d( npti, nptidx(1:npti), sst_1d(1:npti), sst_m )
	431	CALL tab_2d_1d( npti, nptidx(1:npti), sss_1d(1:npti), sss_m )
[10786]	432	!
	433	! to update ice age
	434	CALL tab_2d_1d( npti, nptidx(1:npti), o_i_1d (1:npti), o_i (:,:,kl) )
	435	CALL tab_2d_1d( npti, nptidx(1:npti), oa_i_1d(1:npti), oa_i(:,:,kl) )
	436	!
[8586]	437	! --- Change units of e_i, e_s from J/m2 to J/m3 --- !
	438	DO jk = 1, nlay_i
	439	WHERE( h_i_1d(1:npti)>0._wp ) e_i_1d(1:npti,jk) = e_i_1d(1:npti,jk) / (h_i_1d(1:npti) * a_i_1d(1:npti)) * nlay_i
	440	END DO
	441	DO jk = 1, nlay_s
	442	WHERE( h_s_1d(1:npti)>0._wp ) e_s_1d(1:npti,jk) = e_s_1d(1:npti,jk) / (h_s_1d(1:npti) * a_i_1d(1:npti)) * nlay_s
	443	END DO
	444	!
	445	! !---------------------!
	446	CASE( 2 ) !== from 1D to 2D ==!
	447	! !---------------------!
	448	! --- Change units of e_i, e_s from J/m3 to J/m2 --- !
	449	DO jk = 1, nlay_i
	450	e_i_1d(1:npti,jk) = e_i_1d(1:npti,jk) * h_i_1d(1:npti) * a_i_1d(1:npti) * r1_nlay_i
	451	END DO
	452	DO jk = 1, nlay_s
	453	e_s_1d(1:npti,jk) = e_s_1d(1:npti,jk) * h_s_1d(1:npti) * a_i_1d(1:npti) * r1_nlay_s
	454	END DO
	455	!
	456	! Change thickness to volume (replaces routine ice_var_eqv2glo)
[8637]	457	v_i_1d (1:npti) = h_i_1d (1:npti) * a_i_1d (1:npti)
	458	v_s_1d (1:npti) = h_s_1d (1:npti) * a_i_1d (1:npti)
	459	sv_i_1d(1:npti) = s_i_1d (1:npti) * v_i_1d (1:npti)
	460	v_ip_1d(1:npti) = h_ip_1d(1:npti) * a_ip_1d(1:npti)
[13466]	461	v_il_1d(1:npti) = h_il_1d(1:npti) * a_ip_1d(1:npti)
[10786]	462	oa_i_1d(1:npti) = o_i_1d (1:npti) * a_i_1d (1:npti)
[8586]	463
	464	CALL tab_1d_2d( npti, nptidx(1:npti), at_i_1d(1:npti), at_i )
	465	CALL tab_1d_2d( npti, nptidx(1:npti), a_i_1d (1:npti), a_i (:,:,kl) )
[8637]	466	CALL tab_1d_2d( npti, nptidx(1:npti), h_i_1d (1:npti), h_i (:,:,kl) )
	467	CALL tab_1d_2d( npti, nptidx(1:npti), h_s_1d (1:npti), h_s (:,:,kl) )
[8586]	468	CALL tab_1d_2d( npti, nptidx(1:npti), t_su_1d(1:npti), t_su(:,:,kl) )
[8637]	469	CALL tab_1d_2d( npti, nptidx(1:npti), s_i_1d (1:npti), s_i (:,:,kl) )
[8586]	470	DO jk = 1, nlay_s
[8637]	471	CALL tab_1d_2d( npti, nptidx(1:npti), t_s_1d(1:npti,jk), t_s(:,:,jk,kl) )
	472	CALL tab_1d_2d( npti, nptidx(1:npti), e_s_1d(1:npti,jk), e_s(:,:,jk,kl) )
[8586]	473	END DO
	474	DO jk = 1, nlay_i
[8637]	475	CALL tab_1d_2d( npti, nptidx(1:npti), t_i_1d (1:npti,jk), t_i (:,:,jk,kl) )
	476	CALL tab_1d_2d( npti, nptidx(1:npti), e_i_1d (1:npti,jk), e_i (:,:,jk,kl) )
	477	CALL tab_1d_2d( npti, nptidx(1:npti), sz_i_1d(1:npti,jk), sz_i(:,:,jk,kl) )
[8586]	478	END DO
[8637]	479	CALL tab_1d_2d( npti, nptidx(1:npti), a_ip_1d (1:npti), a_ip (:,:,kl) )
	480	CALL tab_1d_2d( npti, nptidx(1:npti), h_ip_1d (1:npti), h_ip (:,:,kl) )
[13466]	481	CALL tab_1d_2d( npti, nptidx(1:npti), h_il_1d (1:npti), h_il (:,:,kl) )
[8586]	482	!
	483	CALL tab_1d_2d( npti, nptidx(1:npti), wfx_snw_sni_1d(1:npti), wfx_snw_sni )
	484	CALL tab_1d_2d( npti, nptidx(1:npti), wfx_snw_sum_1d(1:npti), wfx_snw_sum )
	485	CALL tab_1d_2d( npti, nptidx(1:npti), wfx_sub_1d (1:npti), wfx_sub )
	486	CALL tab_1d_2d( npti, nptidx(1:npti), wfx_snw_sub_1d(1:npti), wfx_snw_sub )
	487	CALL tab_1d_2d( npti, nptidx(1:npti), wfx_ice_sub_1d(1:npti), wfx_ice_sub )
	488	CALL tab_1d_2d( npti, nptidx(1:npti), wfx_err_sub_1d(1:npti), wfx_err_sub )
	489	!
	490	CALL tab_1d_2d( npti, nptidx(1:npti), wfx_bog_1d (1:npti), wfx_bog )
	491	CALL tab_1d_2d( npti, nptidx(1:npti), wfx_bom_1d (1:npti), wfx_bom )
	492	CALL tab_1d_2d( npti, nptidx(1:npti), wfx_sum_1d (1:npti), wfx_sum )
	493	CALL tab_1d_2d( npti, nptidx(1:npti), wfx_sni_1d (1:npti), wfx_sni )
	494	CALL tab_1d_2d( npti, nptidx(1:npti), wfx_res_1d (1:npti), wfx_res )
	495	CALL tab_1d_2d( npti, nptidx(1:npti), wfx_spr_1d (1:npti), wfx_spr )
	496	CALL tab_1d_2d( npti, nptidx(1:npti), wfx_lam_1d (1:npti), wfx_lam )
[8813]	497	CALL tab_1d_2d( npti, nptidx(1:npti), wfx_pnd_1d (1:npti), wfx_pnd )
[8586]	498	!
	499	CALL tab_1d_2d( npti, nptidx(1:npti), sfx_bog_1d (1:npti), sfx_bog )
	500	CALL tab_1d_2d( npti, nptidx(1:npti), sfx_bom_1d (1:npti), sfx_bom )
	501	CALL tab_1d_2d( npti, nptidx(1:npti), sfx_sum_1d (1:npti), sfx_sum )
	502	CALL tab_1d_2d( npti, nptidx(1:npti), sfx_sni_1d (1:npti), sfx_sni )
	503	CALL tab_1d_2d( npti, nptidx(1:npti), sfx_bri_1d (1:npti), sfx_bri )
	504	CALL tab_1d_2d( npti, nptidx(1:npti), sfx_res_1d (1:npti), sfx_res )
	505	CALL tab_1d_2d( npti, nptidx(1:npti), sfx_sub_1d (1:npti), sfx_sub )
	506	CALL tab_1d_2d( npti, nptidx(1:npti), sfx_lam_1d (1:npti), sfx_lam )
	507	!
[9912]	508	CALL tab_1d_2d( npti, nptidx(1:npti), hfx_thd_1d (1:npti), hfx_thd )
	509	CALL tab_1d_2d( npti, nptidx(1:npti), hfx_spr_1d (1:npti), hfx_spr )
	510	CALL tab_1d_2d( npti, nptidx(1:npti), hfx_sum_1d (1:npti), hfx_sum )
	511	CALL tab_1d_2d( npti, nptidx(1:npti), hfx_bom_1d (1:npti), hfx_bom )
	512	CALL tab_1d_2d( npti, nptidx(1:npti), hfx_bog_1d (1:npti), hfx_bog )
	513	CALL tab_1d_2d( npti, nptidx(1:npti), hfx_dif_1d (1:npti), hfx_dif )
	514	CALL tab_1d_2d( npti, nptidx(1:npti), hfx_opw_1d (1:npti), hfx_opw )
	515	CALL tab_1d_2d( npti, nptidx(1:npti), hfx_snw_1d (1:npti), hfx_snw )
	516	CALL tab_1d_2d( npti, nptidx(1:npti), hfx_sub_1d (1:npti), hfx_sub )
	517	CALL tab_1d_2d( npti, nptidx(1:npti), hfx_res_1d (1:npti), hfx_res )
[8586]	518	CALL tab_1d_2d( npti, nptidx(1:npti), hfx_err_dif_1d(1:npti), hfx_err_dif )
[9912]	519	CALL tab_1d_2d( npti, nptidx(1:npti), qt_oce_ai_1d (1:npti), qt_oce_ai )
[8586]	520	!
[9910]	521	CALL tab_1d_2d( npti, nptidx(1:npti), qns_ice_1d (1:npti), qns_ice (:,:,kl) )
	522	CALL tab_1d_2d( npti, nptidx(1:npti), qtr_ice_bot_1d(1:npti), qtr_ice_bot(:,:,kl) )
[10534]	523	! effective conductivity and 1st layer temperature (ln_cndflx=T)
[8933]	524	CALL tab_1d_2d( npti, nptidx(1:npti), cnd_ice_1d(1:npti), cnd_ice(:,:,kl) )
	525	CALL tab_1d_2d( npti, nptidx(1:npti), t1_ice_1d (1:npti), t1_ice (:,:,kl) )
[8586]	526	! SIMIP diagnostics
[9916]	527	CALL tab_1d_2d( npti, nptidx(1:npti), t_si_1d (1:npti), t_si (:,:,kl) )
	528	CALL tab_1d_2d( npti, nptidx(1:npti), qcn_ice_bot_1d(1:npti), qcn_ice_bot(:,:,kl) )
	529	CALL tab_1d_2d( npti, nptidx(1:npti), qcn_ice_top_1d(1:npti), qcn_ice_top(:,:,kl) )
[8586]	530	! extensive variables
	531	CALL tab_1d_2d( npti, nptidx(1:npti), v_i_1d (1:npti), v_i (:,:,kl) )
	532	CALL tab_1d_2d( npti, nptidx(1:npti), v_s_1d (1:npti), v_s (:,:,kl) )
	533	CALL tab_1d_2d( npti, nptidx(1:npti), sv_i_1d(1:npti), sv_i(:,:,kl) )
[8637]	534	CALL tab_1d_2d( npti, nptidx(1:npti), v_ip_1d(1:npti), v_ip(:,:,kl) )
[13466]	535	CALL tab_1d_2d( npti, nptidx(1:npti), v_il_1d(1:npti), v_il(:,:,kl) )
[10786]	536	CALL tab_1d_2d( npti, nptidx(1:npti), oa_i_1d(1:npti), oa_i(:,:,kl) )
[13466]	537	! check convergence of heat diffusion scheme
	538	IF( ln_zdf_chkcvg ) THEN
	539	CALL tab_1d_2d( npti, nptidx(1:npti), tice_cvgerr_1d(1:npti), ztice_cvgerr(:,:,kl) )
	540	CALL tab_1d_2d( npti, nptidx(1:npti), tice_cvgstp_1d(1:npti), ztice_cvgstp(:,:,kl) )
	541	ENDIF
[8586]	542	!
	543	END SELECT
	544	!
	545	END SUBROUTINE ice_thd_1d2d
	546
	547
	548	SUBROUTINE ice_thd_init
[8637]	549	!!-------------------------------------------------------------------
[8586]	550	!! * ROUTINE ice_thd_init *
	551	!!
	552	!! ** Purpose : Physical constants and parameters associated with
	553	!! ice thermodynamics
	554	!!
	555	!! ** Method : Read the namthd namelist and check the parameters
	556	!! called at the first timestep (nit000)
	557	!!
	558	!! ** input : Namelist namthd
	559	!!-------------------------------------------------------------------
	560	INTEGER :: ios ! Local integer output status for namelist read
	561	!!
[13466]	562	NAMELIST/namthd/ ln_icedH, ln_icedA, ln_icedO, ln_icedS, ln_leadhfx
[8586]	563	!!-------------------------------------------------------------------
	564	!
	565	REWIND( numnam_ice_ref ) ! Namelist namthd in reference namelist : Ice thermodynamics
	566	READ ( numnam_ice_ref, namthd, IOSTAT = ios, ERR = 901)
[11536]	567	901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namthd in reference namelist' )
[8586]	568	REWIND( numnam_ice_cfg ) ! Namelist namthd in configuration namelist : Ice thermodynamics
	569	READ ( numnam_ice_cfg, namthd, IOSTAT = ios, ERR = 902 )
[11536]	570	902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namthd in configuration namelist' )
[9169]	571	IF(lwm) WRITE( numoni, namthd )
[8586]	572	!
	573	IF(lwp) THEN ! control print
[9169]	574	WRITE(numout,*)
[8586]	575	WRITE(numout,*) 'ice_thd_init: Ice Thermodynamics'
	576	WRITE(numout,*) '~~~~~~~~~~~~'
	577	WRITE(numout,*) ' Namelist namthd:'
[13466]	578	WRITE(numout,*) ' activate ice thick change from top/bot (T) or not (F) ln_icedH = ', ln_icedH
	579	WRITE(numout,*) ' activate lateral melting (T) or not (F) ln_icedA = ', ln_icedA
	580	WRITE(numout,*) ' activate ice growth in open-water (T) or not (F) ln_icedO = ', ln_icedO
	581	WRITE(numout,*) ' activate gravity drainage and flushing (T) or not (F) ln_icedS = ', ln_icedS
	582	WRITE(numout,*) ' heat in the leads is used to melt sea-ice before warming the ocean ln_leadhfx = ', ln_leadhfx
[8586]	583	ENDIF
	584	!
	585	CALL ice_thd_zdf_init ! set ice heat diffusion parameters
	586	IF( ln_icedA ) CALL ice_thd_da_init ! set ice lateral melting parameters
	587	IF( ln_icedO ) CALL ice_thd_do_init ! set ice growth in open water parameters
	588	CALL ice_thd_sal_init ! set ice salinity parameters
[8637]	589	CALL ice_thd_pnd_init ! set melt ponds parameters
[8586]	590	!
	591	END SUBROUTINE ice_thd_init
	592
	593	#else
	594	!!----------------------------------------------------------------------
[9570]	595	!! Default option Dummy module NO SI3 sea-ice model
[8586]	596	!!----------------------------------------------------------------------
	597	#endif
	598
	599	!!======================================================================
	600	END MODULE icethd

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