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limtrp.F90 in branches/2016/dev_r6859_LIM3_meltponds/NEMOGCM/NEMO/LIM_SRC_3 – NEMO

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source: branches/2016/dev_r6859_LIM3_meltponds/NEMOGCM/NEMO/LIM_SRC_3/limtrp.F90 @ 8260

Last change on this file since 8260 was 8061, checked in by vancop, 7 years ago
Quick commit on empirical melt ponds
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[825]	1	MODULE limtrp
	2	!!======================================================================
	3	!! * MODULE limtrp *
	4	!! LIM transport ice model : sea-ice advection/diffusion
	5	!!======================================================================
[2715]	6	!! History : LIM-2 ! 2000-01 (M.A. Morales Maqueda, H. Goosse, and T. Fichefet) Original code
	7	!! 3.0 ! 2005-11 (M. Vancoppenolle) Multi-layer sea ice, salinity variations
	8	!! 4.0 ! 2011-02 (G. Madec) dynamical allocation
	9	!!----------------------------------------------------------------------
[825]	10	#if defined key_lim3
	11	!!----------------------------------------------------------------------
[834]	12	!! 'key_lim3' LIM3 sea-ice model
[825]	13	!!----------------------------------------------------------------------
	14	!! lim_trp : advection/diffusion process of sea ice
	15	!!----------------------------------------------------------------------
[3625]	16	USE phycst ! physical constant
	17	USE dom_oce ! ocean domain
	18	USE sbc_oce ! ocean surface boundary condition
	19	USE ice ! ice variables
	20	USE limhdf ! ice horizontal diffusion
[5123]	21	USE limvar !
[6989]	22	USE limadv_prather ! advection scheme (Prather)
	23	USE limadv_umx ! advection scheme (ultimate-macho)
[5123]	24	!
[3625]	25	USE in_out_manager ! I/O manager
	26	USE lbclnk ! lateral boundary conditions -- MPP exchanges
	27	USE lib_mpp ! MPP library
	28	USE wrk_nemo ! work arrays
	29	USE prtctl ! Print control
	30	USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined)
[5123]	31	USE timing ! Timing
[4688]	32	USE limcons ! conservation tests
[5123]	33	USE limctl ! control prints
[825]	34
	35	IMPLICIT NONE
	36	PRIVATE
	37
[5123]	38	PUBLIC lim_trp ! called by sbcice_lim
[825]	39
[5123]	40	INTEGER :: ncfl ! number of ice time step with CFL>1/2
	41
[825]	42	!! * Substitution
	43	# include "vectopt_loop_substitute.h90"
	44	!!----------------------------------------------------------------------
[4161]	45	!! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011)
[1156]	46	!! $Id$
[2715]	47	!! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt)
[825]	48	!!----------------------------------------------------------------------
	49	CONTAINS
	50
[921]	51	SUBROUTINE lim_trp( kt )
[825]	52	!!-------------------------------------------------------------------
	53	!! * ROUTINE lim_trp *
	54	!!
	55	!! ** purpose : advection/diffusion process of sea ice
	56	!!
	57	!! ** method : variables included in the process are scalar,
	58	!! other values are considered as second order.
[6989]	59	!! For advection, one can choose between
	60	!! a) an Ultimate-Macho scheme (whose order is defined by nn_limadv_ord) => nn_limadv=0
	61	!! b) and a second order Prather scheme => nn_limadv=-1
[825]	62	!!
	63	!! ** action :
	64	!!---------------------------------------------------------------------
[6515]	65	INTEGER, INTENT(in) :: kt ! number of iteration
[2715]	66	!
[6515]	67	INTEGER :: ji, jj, jk, jm, jl, jt ! dummy loop indices
[2715]	68	INTEGER :: initad ! number of sub-timestep for the advection
[4990]	69	REAL(wp) :: zcfl , zusnit ! - -
[6515]	70	CHARACTER(len=80) :: cltmp
[2715]	71	!
[6515]	72	REAL(wp) :: zvi_b, zsmv_b, zei_b, zfs_b, zfw_b, zft_b
	73	REAL(wp) :: zdv, zda
	74	REAL(wp), POINTER, DIMENSION(:,:) :: zatold, zeiold, zesold, zsmvold
	75	REAL(wp), POINTER, DIMENSION(:,:,:) :: zhimax, zviold, zvsold
	76	! --- diffusion --- !
	77	REAL(wp), POINTER, DIMENSION(:,:,:) :: zhdfptab
[7319]	78	! MV MP 2016
	79	! With melt ponds, we have to diffuse them
	80	! We hard code the number of variables to diffuse
[8061]	81	! since we can't put an IF ( nn_pnd_scheme ) for a declaration
[7319]	82	! ideally, the ihdf_vars should probably be passed as an argument and
[8061]	83	! defined somewhere depending on nn_pnd_scheme
[7319]	84	! END MV MP 2016
	85	INTEGER , PARAMETER :: ihdf_vars = 8 ! Number of variables in which we apply horizontal diffusion
[6515]	86	! inside limtrp for each ice category , not counting the
	87	! variables corresponding to ice_layers
	88	! --- ultimate macho only --- !
	89	REAL(wp) :: zdt
[6989]	90	REAL(wp), POINTER, DIMENSION(:,:) :: zudy, zvdx, zcu_box, zcv_box
[6515]	91	! --- prather only --- !
	92	REAL(wp), POINTER, DIMENSION(:,:) :: zarea
	93	REAL(wp), POINTER, DIMENSION(:,:,:) :: z0opw
[5134]	94	REAL(wp), POINTER, DIMENSION(:,:,:) :: z0ice, z0snw, z0ai, z0es , z0smi , z0oi
[7319]	95	! MV MP 2016
	96	REAL(wp), POINTER, DIMENSION(:,:,:) :: z0ap , z0vp
	97	REAL(wp) :: za_old
	98	! END MV MP 2016
[5134]	99	REAL(wp), POINTER, DIMENSION(:,:,:,:) :: z0ei
[6515]	100	!!
[2715]	101	!!---------------------------------------------------------------------
[4161]	102	IF( nn_timing == 1 ) CALL timing_start('limtrp')
[825]	103
[6515]	104	CALL wrk_alloc( jpi,jpj, zatold, zeiold, zesold, zsmvold )
	105	CALL wrk_alloc( jpi,jpj,jpl, zhimax, zviold, zvsold )
	106	CALL wrk_alloc( jpi,jpj,jpl*(ihdf_vars + nlay_i)+1, zhdfptab)
	107
	108	IF( kt == nit000 .AND. lwp ) THEN
	109	WRITE(numout,*)''
	110	WRITE(numout,*)'limtrp'
	111	WRITE(numout,*)'~~~~~~'
[5123]	112	ncfl = 0 ! nb of time step with CFL > 1/2
[2715]	113	ENDIF
[6515]	114
[6584]	115	CALL lim_var_agg( 1 ) ! integrated values + ato_i
	116
[6515]	117	!-------------------------------------!
	118	! Advection of sea ice properties !
	119	!-------------------------------------!
[5123]	120
[6515]	121	! conservation test
[6994]	122	IF( ln_limdiachk ) CALL lim_cons_hsm(0, 'limtrp', zvi_b, zsmv_b, zei_b, zfw_b, zfs_b, zft_b)
[2715]	123
[6515]	124	! store old values for diag
	125	zviold = v_i
	126	zvsold = v_s
	127	zsmvold(:,:) = SUM( smv_i(:,:,:), dim=3 )
[6584]	128	zeiold (:,:) = et_i
	129	zesold (:,:) = et_s
[4688]	130
[6515]	131	!--- Thickness correction init. --- !
[6584]	132	zatold(:,:) = at_i
[6515]	133	DO jl = 1, jpl
	134	DO jj = 1, jpj
	135	DO ji = 1, jpi
	136	rswitch = MAX( 0._wp , SIGN( 1._wp, a_i(ji,jj,jl) - epsi20 ) )
	137	ht_i (ji,jj,jl) = v_i (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi20 ) * rswitch
	138	ht_s (ji,jj,jl) = v_s (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi20 ) * rswitch
[5167]	139	END DO
	140	END DO
[6515]	141	END DO
	142	! --- Record max of the surrounding ice thicknesses for correction in case advection creates ice too thick --- !
	143	zhimax(:,:,:) = ht_i(:,:,:) + ht_s(:,:,:)
	144	DO jl = 1, jpl
	145	DO jj = 2, jpjm1
	146	DO ji = 2, jpim1
	147	zhimax(ji,jj,jl) = MAXVAL( ht_i(ji-1:ji+1,jj-1:jj+1,jl) + ht_s(ji-1:ji+1,jj-1:jj+1,jl) )
[4161]	148	END DO
	149	END DO
[6515]	150	CALL lbc_lnk(zhimax(:,:,jl),'T',1.)
	151	END DO
[4161]	152
[6515]	153	! --- If ice drift field is too fast, use an appropriate time step for advection --- !
	154	zcfl = MAXVAL( ABS( u_ice(:,:) ) * rdt_ice * r1_e1u(:,:) ) ! CFL test for stability
	155	zcfl = MAX( zcfl, MAXVAL( ABS( v_ice(:,:) ) * rdt_ice * r1_e2v(:,:) ) )
[6989]	156	IF( lk_mpp ) CALL mpp_max( zcfl )
[6515]	157
	158	IF( zcfl > 0.5 ) THEN ; initad = 2 ; zusnit = 0.5_wp
	159	ELSE ; initad = 1 ; zusnit = 1.0_wp
	160	ENDIF
	161
	162	!! IF( zcfl > 0.5_wp .AND. lwp ) THEN
	163	!! ncfl = ncfl + 1
	164	!! IF( ncfl > 0 ) THEN
	165	!! WRITE(cltmp,'(i6.1)') ncfl
	166	!! CALL ctl_warn( 'lim_trp: ncfl= ', TRIM(cltmp), 'advective ice time-step using a split in sub-time-step ')
[5202]	167	!! ENDIF
[6515]	168	!! ENDIF
[5123]	169
[6989]	170	SELECT CASE ( nn_limadv )
	171
	172	!=============================!
	173	CASE ( 0 ) !== Ultimate-MACHO scheme ==!
	174	!=============================!
[6515]	175
[6989]	176	CALL wrk_alloc( jpi,jpj, zudy, zvdx, zcu_box, zcv_box )
[6515]	177
[6989]	178	IF( kt == nit000 .AND. lwp ) THEN
	179	WRITE(numout,*)''
	180	WRITE(numout,*)'lim_adv_umx : Ultimate-MACHO advection scheme'
	181	WRITE(numout,*)'~~~~~~~~~~~'
	182	ENDIF
[6515]	183	!
[6989]	184	zdt = rdt_ice / REAL(initad)
	185
	186	! transport
	187	zudy(:,:) = u_ice(:,:) * e2u(:,:)
	188	zvdx(:,:) = v_ice(:,:) * e1v(:,:)
	189
	190	! define velocity for advection: u*grad(H)
	191	DO jj = 2, jpjm1
	192	DO ji = fs_2, fs_jpim1
	193	IF ( u_ice(ji,jj) * u_ice(ji-1,jj) <= 0._wp ) THEN ; zcu_box(ji,jj) = 0._wp
	194	ELSEIF( u_ice(ji,jj) > 0._wp ) THEN ; zcu_box(ji,jj) = u_ice(ji-1,jj)
	195	ELSE ; zcu_box(ji,jj) = u_ice(ji ,jj)
	196	ENDIF
	197
	198	IF ( v_ice(ji,jj) * v_ice(ji,jj-1) <= 0._wp ) THEN ; zcv_box(ji,jj) = 0._wp
	199	ELSEIF( v_ice(ji,jj) > 0._wp ) THEN ; zcv_box(ji,jj) = v_ice(ji,jj-1)
	200	ELSE ; zcv_box(ji,jj) = v_ice(ji,jj )
	201	ENDIF
[5123]	202	END DO
[825]	203	END DO
[6989]	204
	205	! advection
[6515]	206	DO jt = 1, initad
[6989]	207	CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, ato_i(:,:) ) ! Open water area
[6515]	208	DO jl = 1, jpl
[6989]	209	CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, a_i(:,:,jl) ) ! Ice area
	210	CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, v_i(:,:,jl) ) ! Ice volume
	211	CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, smv_i(:,:,jl) ) ! Salt content
	212	CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, oa_i (:,:,jl) ) ! Age content
	213	DO jk = 1, nlay_i
	214	CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, e_i(:,:,jk,jl) ) ! Ice heat content
[825]	215	END DO
[6989]	216	CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, v_s(:,:,jl) ) ! Snow volume
	217	CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, e_s(:,:,1,jl) ) ! Snow heat content
[7319]	218	! MV MP 2016
[8061]	219	IF ( nn_pnd_scheme > 0 ) THEN
[7319]	220	CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, a_ip(:,:,jl) ) ! Melt pond fraction
	221	CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, v_ip(:,:,jl) ) ! Melt pond volume
	222	ENDIF
	223	! END MV MP 2016
[825]	224	END DO
[6515]	225	END DO
[6989]	226	!
	227	at_i(:,:) = a_i(:,:,1) ! total ice fraction
	228	DO jl = 2, jpl
	229	at_i(:,:) = at_i(:,:) + a_i(:,:,jl)
	230	END DO
	231	!
	232	CALL wrk_dealloc( jpi,jpj, zudy, zvdx, zcu_box, zcv_box )
	233
	234	!=============================!
	235	CASE ( -1 ) !== Prather scheme ==!
	236	!=============================!
	237
	238	CALL wrk_alloc( jpi,jpj, zarea )
	239	CALL wrk_alloc( jpi,jpj,1, z0opw )
	240	CALL wrk_alloc( jpi,jpj,jpl, z0ice, z0snw, z0ai, z0es , z0smi , z0oi )
[7319]	241	CALL wrk_alloc( jpi,jpj,jpl, z0ap , z0vp )
[6989]	242	CALL wrk_alloc( jpi,jpj,nlay_i,jpl, z0ei )
	243
	244	IF( kt == nit000 .AND. lwp ) THEN
	245	WRITE(numout,*)''
	246	WRITE(numout,*)'lim_adv_xy : Prather advection scheme'
	247	WRITE(numout,*)'~~~~~~~~~~~'
	248	ENDIF
	249
	250	zarea(:,:) = e12t(:,:)
	251
	252	!-------------------------
	253	! transported fields
	254	!-------------------------
	255	z0opw(:,:,1) = ato_i(:,:) * e12t(:,:) ! Open water area
	256	DO jl = 1, jpl
	257	z0snw (:,:,jl) = v_s (:,:,jl) * e12t(:,:) ! Snow volume
	258	z0ice(:,:,jl) = v_i (:,:,jl) * e12t(:,:) ! Ice volume
	259	z0ai (:,:,jl) = a_i (:,:,jl) * e12t(:,:) ! Ice area
	260	z0smi (:,:,jl) = smv_i(:,:,jl) * e12t(:,:) ! Salt content
	261	z0oi (:,:,jl) = oa_i (:,:,jl) * e12t(:,:) ! Age content
	262	z0es (:,:,jl) = e_s (:,:,1,jl) * e12t(:,:) ! Snow heat content
	263	DO jk = 1, nlay_i
	264	z0ei (:,:,jk,jl) = e_i (:,:,jk,jl) * e12t(:,:) ! Ice heat content
	265	END DO
[7319]	266	! MV MP 2016
[8061]	267	IF ( nn_pnd_scheme > 0 ) THEN
[7319]	268	z0ap (:,:,jl) = a_ip (:,:,jl) * e12t(:,:) ! Melt pond fraction
	269	z0vp (:,:,jl) = v_ip (:,:,jl) * e12t(:,:) ! Melt pond volume
	270	ENDIF
	271	! END MV MP 2016
	272
[6989]	273	END DO
	274
	275
	276	IF( MOD( ( kt - 1) / nn_fsbc , 2 ) == 0 ) THEN !== odd ice time step: adv_x then adv_y ==!
	277	DO jt = 1, initad
	278	CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0opw (:,:,1), sxopw(:,:), & !--- ice open water area
	279	& sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) )
	280	CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0opw (:,:,1), sxopw(:,:), &
	281	& sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) )
	282	DO jl = 1, jpl
	283	CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), & !--- ice volume ---
	284	& sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) )
	285	CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), &
	286	& sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) )
	287	CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), & !--- snow volume ---
	288	& sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) )
	289	CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), &
	290	& sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) )
	291	CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), & !--- ice salinity ---
	292	& sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) )
	293	CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), &
	294	& sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) )
	295	CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), & !--- ice age ---
	296	& sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) )
	297	CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), &
	298	& sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) )
	299	CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), & !--- ice concentrations ---
	300	& sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) )
	301	CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), &
	302	& sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) )
	303	CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0es (:,:,jl), sxc0 (:,:,jl), & !--- snow heat contents ---
	304	& sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) )
	305	CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0es (:,:,jl), sxc0 (:,:,jl), &
	306	& sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) )
	307	DO jk = 1, nlay_i !--- ice heat contents ---
	308	CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0ei(:,:,jk,jl), sxe (:,:,jk,jl), &
	309	& sxxe(:,:,jk,jl), sye (:,:,jk,jl), &
	310	& syye(:,:,jk,jl), sxye(:,:,jk,jl) )
	311	CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0ei(:,:,jk,jl), sxe (:,:,jk,jl), &
	312	& sxxe(:,:,jk,jl), sye (:,:,jk,jl), &
	313	& syye(:,:,jk,jl), sxye(:,:,jk,jl) )
	314	END DO
[7319]	315	! MV MP 2016
	316	CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0ap (:,:,jl), sxap (:,:,jl), & !--- melt pond fraction --
	317	& sxxap (:,:,jl), syap (:,:,jl), syyap (:,:,jl), sxyap (:,:,jl) )
	318	CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0ap (:,:,jl), sxap (:,:,jl), &
	319	& sxxap (:,:,jl), syap (:,:,jl), syyap (:,:,jl), sxyap (:,:,jl) )
	320	CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0vp (:,:,jl), sxvp (:,:,jl), & !--- melt pond volume --
	321	& sxxvp (:,:,jl), syvp (:,:,jl), syyvp (:,:,jl), sxyvp (:,:,jl) )
	322	CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0vp (:,:,jl), sxvp (:,:,jl), &
	323	& sxxvp (:,:,jl), syvp (:,:,jl), syyvp (:,:,jl), sxyvp (:,:,jl) )
	324	! END MV MP 2016
[825]	325	END DO
	326	END DO
[6989]	327	ELSE
	328	DO jt = 1, initad
	329	CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0opw (:,:,1), sxopw(:,:), & !--- ice open water area
	330	& sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) )
	331	CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0opw (:,:,1), sxopw(:,:), &
	332	& sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) )
	333	DO jl = 1, jpl
	334	CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), & !--- ice volume ---
	335	& sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) )
	336	CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), &
	337	& sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) )
	338	CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), & !--- snow volume ---
	339	& sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) )
	340	CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), &
	341	& sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) )
	342	CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), & !--- ice salinity ---
	343	& sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) )
	344	CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), &
	345	& sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) )
	346	CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), & !--- ice age ---
	347	& sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) )
	348	CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), &
	349	& sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) )
	350	CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), & !--- ice concentrations ---
	351	& sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) )
	352	CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), &
	353	& sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) )
	354	CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0es (:,:,jl), sxc0 (:,:,jl), & !--- snow heat contents ---
	355	& sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) )
	356	CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0es (:,:,jl), sxc0 (:,:,jl), &
	357	& sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) )
	358	DO jk = 1, nlay_i !--- ice heat contents ---
	359	CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0ei(:,:,jk,jl), sxe (:,:,jk,jl), &
	360	& sxxe(:,:,jk,jl), sye (:,:,jk,jl), &
	361	& syye(:,:,jk,jl), sxye(:,:,jk,jl) )
	362	CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0ei(:,:,jk,jl), sxe (:,:,jk,jl), &
	363	& sxxe(:,:,jk,jl), sye (:,:,jk,jl), &
	364	& syye(:,:,jk,jl), sxye(:,:,jk,jl) )
	365	END DO
[7319]	366	! MV MP 2016
[8061]	367	IF ( nn_pnd_scheme > 0 ) THEN
[7319]	368	CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0ap (:,:,jl), sxap (:,:,jl), & !--- melt pond fraction ---
	369	& sxxap (:,:,jl), syap (:,:,jl), syyap (:,:,jl), sxyap (:,:,jl) )
	370	CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0ap (:,:,jl), sxap (:,:,jl), &
	371	& sxxap (:,:,jl), syap (:,:,jl), syyap (:,:,jl), sxyap (:,:,jl) )
	372	CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0vp (:,:,jl), sxvp (:,:,jl), & !--- melt pond volume ---
	373	& sxxvp (:,:,jl), syvp (:,:,jl), syyvp (:,:,jl), sxyvp (:,:,jl) )
	374	CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0vp (:,:,jl), sxvp (:,:,jl), &
	375	& sxxvp (:,:,jl), syvp (:,:,jl), syyvp (:,:,jl), sxyvp (:,:,jl) )
	376	ENDIF
	377	! END MV MP 2016
[6989]	378	END DO
	379	END DO
	380	ENDIF
	381
	382	!-------------------------------------------
	383	! Recover the properties from their contents
	384	!-------------------------------------------
	385	ato_i(:,:) = z0opw(:,:,1) * r1_e12t(:,:)
	386	DO jl = 1, jpl
	387	v_i (:,:,jl) = z0ice(:,:,jl) * r1_e12t(:,:)
	388	v_s (:,:,jl) = z0snw(:,:,jl) * r1_e12t(:,:)
	389	smv_i(:,:,jl) = z0smi(:,:,jl) * r1_e12t(:,:)
	390	oa_i (:,:,jl) = z0oi (:,:,jl) * r1_e12t(:,:)
	391	a_i (:,:,jl) = z0ai (:,:,jl) * r1_e12t(:,:)
	392	e_s (:,:,1,jl) = z0es (:,:,jl) * r1_e12t(:,:)
	393	DO jk = 1, nlay_i
	394	e_i(:,:,jk,jl) = z0ei(:,:,jk,jl) * r1_e12t(:,:)
	395	END DO
[7319]	396	! MV MP 2016
[8061]	397	IF ( nn_pnd_scheme > 0 ) THEN
[7319]	398	a_ip (:,:,jl) = z0ap (:,:,jl) * r1_e12t(:,:)
	399	v_ip (:,:,jl) = z0vp (:,:,jl) * r1_e12t(:,:)
	400	ENDIF
	401	! END MV MP 2016
[825]	402	END DO
[6989]	403
	404	at_i(:,:) = a_i(:,:,1) ! total ice fraction
	405	DO jl = 2, jpl
	406	at_i(:,:) = at_i(:,:) + a_i(:,:,jl)
[5123]	407	END DO
[6989]	408
	409	CALL wrk_dealloc( jpi,jpj, zarea )
	410	CALL wrk_dealloc( jpi,jpj,1, z0opw )
	411	CALL wrk_dealloc( jpi,jpj,jpl, z0ice, z0snw, z0ai, z0es , z0smi , z0oi )
[7319]	412	! MV MP 2016
	413	CALL wrk_dealloc( jpi,jpj,jpl, z0ap , z0vp )
	414	! END MV MP 2016
[6989]	415	CALL wrk_dealloc( jpi,jpj,nlay_i,jpl, z0ei )
[5123]	416
[6989]	417	END SELECT
[6515]	418
	419	!------------------------------!
	420	! Diffusion of Ice fields
	421	!------------------------------!
	422	IF( nn_ahi0 /= -1 .AND. nn_limdyn == 2 ) THEN
	423	!
	424	! --- Prepare diffusion for variables with categories --- !
	425	! mask eddy diffusivity coefficient at ocean U- and V-points
[6476]	426	jm=1
	427	DO jl = 1, jpl
	428	DO jj = 1, jpjm1 ! NB: has not to be defined on jpj line and jpi row
[6515]	429	DO ji = 1 , fs_jpim1
[6476]	430	pahu3D(ji,jj,jl) = ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -a_i(ji ,jj, jl ) ) ) ) &
	431	& * ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -a_i(ji+1,jj, jl ) ) ) ) * ahiu(ji,jj)
	432	pahv3D(ji,jj,jl) = ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -a_i(ji, jj, jl ) ) ) ) &
	433	& * ( 1._wp - MAX( 0._wp, SIGN( 1._wp,- a_i(ji, jj+1,jl ) ) ) ) * ahiv(ji,jj)
	434	END DO
	435	END DO
[825]	436
[6515]	437	zhdfptab(:,:,jm)= a_i (:,:, jl); jm = jm + 1
[6476]	438	zhdfptab(:,:,jm)= v_i (:,:, jl); jm = jm + 1
[6515]	439	zhdfptab(:,:,jm)= v_s (:,:, jl); jm = jm + 1
[6476]	440	zhdfptab(:,:,jm)= smv_i(:,:, jl); jm = jm + 1
	441	zhdfptab(:,:,jm)= oa_i (:,:, jl); jm = jm + 1
	442	zhdfptab(:,:,jm)= e_s (:,:,1,jl); jm = jm + 1
[7319]	443	! MV MP 2016
[8061]	444	IF ( nn_pnd_scheme > 0 ) THEN
[7319]	445	zhdfptab(:,:,jm)= a_ip (:,:, jl); jm = jm + 1
	446	zhdfptab(:,:,jm)= v_ip (:,:, jl); jm = jm + 1
	447	ENDIF
	448	! END MV MP 2016
[6515]	449	! Sample of adding more variables to apply lim_hdf (ihdf_vars must be increased)
	450	! zhdfptab(:,:,jm) = variable_1 (:,:,1,jl); jm = jm + 1
	451	! zhdfptab(:,:,jm) = variable_2 (:,:,1,jl); jm = jm + 1
[6476]	452	DO jk = 1, nlay_i
	453	zhdfptab(:,:,jm)=e_i(:,:,jk,jl); jm= jm+1
	454	END DO
	455	END DO
[6515]	456
	457	! --- Prepare diffusion for open water area --- !
	458	! mask eddy diffusivity coefficient at ocean U- and V-points
[2715]	459	DO jj = 1, jpjm1 ! NB: has not to be defined on jpj line and jpi row
[6515]	460	DO ji = 1 , fs_jpim1
[6476]	461	pahu3D(ji,jj,jpl+1) = ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -at_i(ji ,jj) ) ) ) &
	462	& * ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -at_i(ji+1,jj) ) ) ) * ahiu(ji,jj)
	463	pahv3D(ji,jj,jpl+1) = ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -at_i(ji,jj ) ) ) ) &
	464	& * ( 1._wp - MAX( 0._wp, SIGN( 1._wp,- at_i(ji,jj+1) ) ) ) * ahiv(ji,jj)
[2715]	465	END DO
	466	END DO
	467	!
[6476]	468	zhdfptab(:,:,jm)= ato_i (:,:);
[2715]	469
[6515]	470	! --- Apply diffusion --- !
	471	CALL lim_hdf( zhdfptab, ihdf_vars )
	472
	473	! --- Recover properties --- !
[6476]	474	jm=1
[825]	475	DO jl = 1, jpl
[6515]	476	a_i (:,:, jl) = zhdfptab(:,:,jm); jm = jm + 1
	477	v_i (:,:, jl) = zhdfptab(:,:,jm); jm = jm + 1
	478	v_s (:,:, jl) = zhdfptab(:,:,jm); jm = jm + 1
	479	smv_i(:,:, jl) = zhdfptab(:,:,jm); jm = jm + 1
	480	oa_i (:,:, jl) = zhdfptab(:,:,jm); jm = jm + 1
	481	e_s (:,:,1,jl) = zhdfptab(:,:,jm); jm = jm + 1
[7319]	482	! MV MP 2016
[8061]	483	IF ( nn_pnd_scheme > 0 ) THEN
[7319]	484	a_ip (:,:, jl) = zhdfptab(:,:,jm); jm = jm + 1
	485	v_ip (:,:, jl) = zhdfptab(:,:,jm); jm = jm + 1
	486	ENDIF
[6515]	487	! Sample of adding more variables to apply lim_hdf
	488	! variable_1 (:,:,1,jl) = zhdfptab(:,:, jm ) ; jm + 1
	489	! variable_2 (:,:,1,jl) = zhdfptab(:,:, jm ) ; jm + 1
[825]	490	DO jk = 1, nlay_i
[6515]	491	e_i(:,:,jk,jl) = zhdfptab(:,:,jm);jm= jm + 1
[2715]	492	END DO
	493	END DO
[6476]	494	ato_i (:,:) = zhdfptab(:,:,jm)
[6515]	495
	496	ENDIF
[6476]	497
[6515]	498	! --- diags ---
	499	DO jj = 1, jpj
	500	DO ji = 1, jpi
	501	diag_trp_ei (ji,jj) = ( SUM( e_i (ji,jj,1:nlay_i,:) ) - zeiold(ji,jj) ) * r1_rdtice
	502	diag_trp_es (ji,jj) = ( SUM( e_s (ji,jj,1:nlay_s,:) ) - zesold(ji,jj) ) * r1_rdtice
	503	diag_trp_smv(ji,jj) = ( SUM( smv_i(ji,jj,:) ) - zsmvold(ji,jj) ) * r1_rdtice
	504	diag_trp_vi (ji,jj) = SUM( v_i(ji,jj,:) - zviold(ji,jj,:) ) * r1_rdtice
	505	diag_trp_vs (ji,jj) = SUM( v_s(ji,jj,:) - zvsold(ji,jj,:) ) * r1_rdtice
[5123]	506	END DO
[6515]	507	END DO
	508
	509	IF( nn_limdyn == 2) THEN
[4688]	510
[5123]	511	! zap small areas
	512	CALL lim_var_zapsmall
[6515]	513
	514	!--- Thickness correction in case too high --- !
[4161]	515	DO jl = 1, jpl
	516	DO jj = 1, jpj
	517	DO ji = 1, jpi
[6515]	518
[4161]	519	IF ( v_i(ji,jj,jl) > 0._wp ) THEN
[6515]	520
[5167]	521	rswitch = MAX( 0._wp , SIGN( 1._wp, a_i(ji,jj,jl) - epsi20 ) )
	522	ht_i (ji,jj,jl) = v_i (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi20 ) * rswitch
	523	ht_s (ji,jj,jl) = v_s (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi20 ) * rswitch
	524
[5134]	525	zdv = v_i(ji,jj,jl) + v_s(ji,jj,jl) - zviold(ji,jj,jl) - zvsold(ji,jj,jl)
[6515]	526
[5134]	527	IF ( ( zdv > 0.0 .AND. (ht_i(ji,jj,jl)+ht_s(ji,jj,jl)) > zhimax(ji,jj,jl) .AND. zatold(ji,jj) < 0.80 ) .OR. &
[5167]	528	& ( zdv <= 0.0 .AND. (ht_i(ji,jj,jl)+ht_s(ji,jj,jl)) > zhimax(ji,jj,jl) ) ) THEN
[6515]	529
[5134]	530	rswitch = MAX( 0._wp, SIGN( 1._wp, zhimax(ji,jj,jl) - epsi20 ) )
	531	a_i(ji,jj,jl) = rswitch * ( v_i(ji,jj,jl) + v_s(ji,jj,jl) ) / MAX( zhimax(ji,jj,jl), epsi20 )
[6515]	532
[5134]	533	! small correction due to *rswitch for a_i
	534	v_i (ji,jj,jl) = rswitch * v_i (ji,jj,jl)
	535	v_s (ji,jj,jl) = rswitch * v_s (ji,jj,jl)
	536	smv_i(ji,jj,jl) = rswitch * smv_i(ji,jj,jl)
	537	e_s(ji,jj,1,jl) = rswitch * e_s(ji,jj,1,jl)
	538	e_i(ji,jj,1:nlay_i,jl) = rswitch * e_i(ji,jj,1:nlay_i,jl)
[7319]	539
	540	! MV MP 2016
[8061]	541	IF ( nn_pnd_scheme > 0 ) THEN
[7319]	542	a_ip (ji,jj,jl) = rswitch * a_ip (ji,jj,jl)
	543	v_ip (ji,jj,jl) = rswitch * v_ip (ji,jj,jl)
	544	ENDIF
	545	! END MV MP 2016
[6515]	546
[4161]	547	ENDIF
[6515]	548
[4161]	549	ENDIF
[6515]	550
[825]	551	END DO
	552	END DO
	553	END DO
[5123]	554
[6515]	555	! Force the upper limit of ht_i to always be < hi_max (99 m).
	556	DO jj = 1, jpj
	557	DO ji = 1, jpi
[7319]	558	! MV MP 2016
	559	za_old = a_i(ji,jj,jpl)
	560	! END MV MP 2016
[6515]	561	rswitch = MAX( 0._wp , SIGN( 1._wp, ht_i(ji,jj,jpl) - epsi20 ) )
	562	ht_i(ji,jj,jpl) = MIN( ht_i(ji,jj,jpl) , hi_max(jpl) )
	563	a_i (ji,jj,jpl) = v_i(ji,jj,jpl) / MAX( ht_i(ji,jj,jpl) , epsi20 ) * rswitch
[7319]	564	! MV MP 2016
[8061]	565	IF ( nn_pnd_scheme > 0 ) THEN
[7319]	566	! correct pond fraction to avoid a_ip > a_i
	567	a_ip(ji,jj,jpl) = a_ip(ji,jj,jpl) * a_i(ji,jj,jpl) / MAX( za_old , epsi20 ) * rswitch
	568	ENDIF
	569	! END MP 2016
[5123]	570	END DO
[6515]	571	END DO
[825]	572
[7319]	573
[6515]	574	ENDIF
	575
	576	!------------------------------------------------------------
	577	! Impose a_i < amax if no ridging/rafting or in mono-category
	578	!------------------------------------------------------------
	579	!
	580	at_i(:,:) = SUM( a_i(:,:,:), dim=3 )
	581	IF ( nn_limdyn == 1 .OR. ( ( nn_monocat == 2 ) .AND. ( jpl == 1 ) ) ) THEN ! simple conservative piling, comparable with LIM2
[825]	582	DO jl = 1, jpl
	583	DO jj = 1, jpj
	584	DO ji = 1, jpi
[6515]	585	rswitch = MAX( 0._wp, SIGN( 1._wp, at_i(ji,jj) - epsi20 ) )
	586	zda = rswitch * MIN( rn_amax_2d(ji,jj) - at_i(ji,jj), 0._wp ) &
	587	& * a_i(ji,jj,jl) / MAX( at_i(ji,jj), epsi20 )
	588	a_i(ji,jj,jl) = a_i(ji,jj,jl) + zda
[4688]	589	END DO
	590	END DO
	591	END DO
[825]	592	ENDIF
[6515]	593
	594	! --- agglomerate variables -----------------
	595	vt_i(:,:) = SUM( v_i(:,:,:), dim=3 )
	596	vt_s(:,:) = SUM( v_s(:,:,:), dim=3 )
	597	at_i(:,:) = SUM( a_i(:,:,:), dim=3 )
[7319]	598
	599	! MV MP 2016 (remove once we get rid of a_i_frac and ht_i)
[8061]	600	IF ( nn_pnd_scheme > 0 ) THEN
[7319]	601	at_ip(:,:) = SUM( a_ip(:,:,:), dim = 3 )
	602	vt_ip(:,:) = SUM( v_ip(:,:,:), dim = 3 )
	603	ENDIF
	604	! END MP 2016
[6515]	605
	606	! --- open water = 1 if at_i=0 --------------------------------
	607	WHERE( at_i == 0._wp ) ato_i = 1._wp
	608
	609	! conservation test
[6994]	610	IF( ln_limdiachk ) CALL lim_cons_hsm(1, 'limtrp', zvi_b, zsmv_b, zei_b, zfw_b, zfs_b, zft_b)
[6515]	611
[5123]	612	! -------------------------------------------------
	613	! control prints
	614	! -------------------------------------------------
[6994]	615	IF( ln_limctl ) CALL lim_prt( kt, iiceprt, jiceprt,-1, ' - ice dyn & trp - ' )
[2715]	616	!
[6515]	617	CALL wrk_dealloc( jpi,jpj, zatold, zeiold, zesold, zsmvold )
	618	CALL wrk_dealloc( jpi,jpj,jpl, zhimax, zviold, zvsold )
	619	CALL wrk_dealloc( jpi,jpj,jpl*(ihdf_vars + nlay_i)+1, zhdfptab)
[5123]	620	!
[4161]	621	IF( nn_timing == 1 ) CALL timing_stop('limtrp')
[6515]	622	!
[825]	623	END SUBROUTINE lim_trp
	624
	625	#else
	626	!!----------------------------------------------------------------------
	627	!! Default option Empty Module No sea-ice model
	628	!!----------------------------------------------------------------------
	629	CONTAINS
	630	SUBROUTINE lim_trp ! Empty routine
	631	END SUBROUTINE lim_trp
	632	#endif
[6515]	633
[825]	634	!!======================================================================
	635	END MODULE limtrp

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