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limtrp.F90 @ 7956

Last change on this file since 7956 was 7917, checked in by timgraham, 7 years ago
A few corrections for SETTE compilation
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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 !
[7646]	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 prtctl ! Print control
	29	USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined)
[5123]	30	USE timing ! Timing
[4688]	31	USE limcons ! conservation tests
[5123]	32	USE limctl ! control prints
[825]	33
	34	IMPLICIT NONE
	35	PRIVATE
	36
[5123]	37	PUBLIC lim_trp ! called by sbcice_lim
[825]	38
[5123]	39	INTEGER :: ncfl ! number of ice time step with CFL>1/2
	40
[825]	41	!! * Substitution
	42	# include "vectopt_loop_substitute.h90"
	43	!!----------------------------------------------------------------------
[4161]	44	!! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011)
[1156]	45	!! $Id$
[2715]	46	!! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt)
[825]	47	!!----------------------------------------------------------------------
	48	CONTAINS
	49
[921]	50	SUBROUTINE lim_trp( kt )
[825]	51	!!-------------------------------------------------------------------
	52	!! * ROUTINE lim_trp *
	53	!!
	54	!! ** purpose : advection/diffusion process of sea ice
	55	!!
	56	!! ** method : variables included in the process are scalar,
	57	!! other values are considered as second order.
[7646]	58	!! For advection, one can choose between
	59	!! a) an Ultimate-Macho scheme (whose order is defined by nn_limadv_ord) => nn_limadv=0
	60	!! b) and a second order Prather scheme => nn_limadv=-1
[825]	61	!!
	62	!! ** action :
	63	!!---------------------------------------------------------------------
[7646]	64	INTEGER, INTENT(in) :: kt ! number of iteration
[2715]	65	!
[7646]	66	INTEGER :: ji, jj, jk, jm, jl, jt ! dummy loop indices
[2715]	67	INTEGER :: initad ! number of sub-timestep for the advection
[4990]	68	REAL(wp) :: zcfl , zusnit ! - -
[7646]	69	CHARACTER(len=80) :: cltmp
[2715]	70	!
[7646]	71	REAL(wp) :: zvi_b, zsmv_b, zei_b, zfs_b, zfw_b, zft_b
	72	REAL(wp) :: zdv, zda
[7910]	73	REAL(wp), DIMENSION(jpi,jpj) :: zatold, zeiold, zesold, zsmvold
	74	REAL(wp), DIMENSION(jpi,jpj,jpl) :: zhimax, zviold, zvsold
[7646]	75	! --- diffusion --- !
	76	INTEGER , PARAMETER :: ihdf_vars = 6 ! Number of variables in which we apply horizontal diffusion
	77	! inside limtrp for each ice category , not counting the
	78	! variables corresponding to ice_layers
[7917]	79	REAL(wp), DIMENSION(jpi,jpj,jpl*(ihdf_vars+nlay_i)+1) :: zhdfptab
[7646]	80	! --- ultimate macho only --- !
	81	REAL(wp) :: zdt
[7910]	82	REAL(wp), DIMENSION(jpi,jpj) :: zudy, zvdx, zcu_box, zcv_box
[7646]	83	! --- prather only --- !
[7910]	84	REAL(wp), DIMENSION(jpi,jpj) :: zarea
	85	REAL(wp), DIMENSION(jpi,jpj,1) :: z0opw
	86	REAL(wp), DIMENSION(jpi,jpj,jpl) :: z0ice, z0snw, z0ai, z0es , z0smi , z0oi
	87	REAL(wp), DIMENSION(jpi,jpj,nlay_i,jpl) :: z0ei
[7646]	88	!!
[2715]	89	!!---------------------------------------------------------------------
[4161]	90	IF( nn_timing == 1 ) CALL timing_start('limtrp')
[825]	91
[7646]	92
	93	IF( kt == nit000 .AND. lwp ) THEN
	94	WRITE(numout,*)''
	95	WRITE(numout,*)'limtrp'
	96	WRITE(numout,*)'~~~~~~'
[5123]	97	ncfl = 0 ! nb of time step with CFL > 1/2
[2715]	98	ENDIF
	99
[7646]	100	CALL lim_var_agg( 1 ) ! integrated values + ato_i
[4688]	101
[7646]	102	!-------------------------------------!
	103	! Advection of sea ice properties !
	104	!-------------------------------------!
[4688]	105
[7646]	106	! conservation test
	107	IF( ln_limdiachk ) CALL lim_cons_hsm(0, 'limtrp', zvi_b, zsmv_b, zei_b, zfw_b, zfs_b, zft_b)
	108
	109	! store old values for diag
	110	zviold = v_i
	111	zvsold = v_s
[7753]	112	zsmvold(:,:) = SUM( smv_i(:,:,:), dim=3 )
	113	zeiold (:,:) = et_i
	114	zesold (:,:) = et_s
[825]	115
[7753]	116	!--- Thickness correction init. --- !
	117	zatold(:,:) = at_i
[7646]	118	DO jl = 1, jpl
	119	DO jj = 1, jpj
	120	DO ji = 1, jpi
	121	rswitch = MAX( 0._wp , SIGN( 1._wp, a_i(ji,jj,jl) - epsi20 ) )
	122	ht_i (ji,jj,jl) = v_i (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi20 ) * rswitch
	123	ht_s (ji,jj,jl) = v_s (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi20 ) * rswitch
[5167]	124	END DO
	125	END DO
[7646]	126	END DO
	127	! --- Record max of the surrounding ice thicknesses for correction in case advection creates ice too thick --- !
[7753]	128	zhimax(:,:,:) = ht_i(:,:,:) + ht_s(:,:,:)
[7646]	129	DO jl = 1, jpl
	130	DO jj = 2, jpjm1
	131	DO ji = 2, jpim1
	132	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) )
	133	END DO
	134	END DO
	135	CALL lbc_lnk(zhimax(:,:,jl),'T',1.)
	136	END DO
	137
	138	! --- If ice drift field is too fast, use an appropriate time step for advection --- !
	139	zcfl = MAXVAL( ABS( u_ice(:,:) ) * rdt_ice * r1_e1u(:,:) ) ! CFL test for stability
	140	zcfl = MAX( zcfl, MAXVAL( ABS( v_ice(:,:) ) * rdt_ice * r1_e2v(:,:) ) )
	141	IF( lk_mpp ) CALL mpp_max( zcfl )
	142
	143	IF( zcfl > 0.5 ) THEN ; initad = 2 ; zusnit = 0.5_wp
	144	ELSE ; initad = 1 ; zusnit = 1.0_wp
	145	ENDIF
	146
	147	!! IF( zcfl > 0.5_wp .AND. lwp ) THEN
	148	!! ncfl = ncfl + 1
	149	!! IF( ncfl > 0 ) THEN
	150	!! WRITE(cltmp,'(i6.1)') ncfl
	151	!! CALL ctl_warn( 'lim_trp: ncfl= ', TRIM(cltmp), 'advective ice time-step using a split in sub-time-step ')
	152	!! ENDIF
	153	!! ENDIF
	154
	155	SELECT CASE ( nn_limadv )
	156
	157	!=============================!
	158	CASE ( 0 ) !== Ultimate-MACHO scheme ==!
	159	!=============================!
	160
	161
	162	IF( kt == nit000 .AND. lwp ) THEN
	163	WRITE(numout,*)''
	164	WRITE(numout,*)'lim_adv_umx : Ultimate-MACHO advection scheme'
	165	WRITE(numout,*)'~~~~~~~~~~~'
	166	ENDIF
	167	!
	168	zdt = rdt_ice / REAL(initad)
	169
	170	! transport
[7753]	171	zudy(:,:) = u_ice(:,:) * e2u(:,:)
	172	zvdx(:,:) = v_ice(:,:) * e1v(:,:)
[7646]	173
	174	! define velocity for advection: u*grad(H)
	175	DO jj = 2, jpjm1
	176	DO ji = fs_2, fs_jpim1
	177	IF ( u_ice(ji,jj) * u_ice(ji-1,jj) <= 0._wp ) THEN ; zcu_box(ji,jj) = 0._wp
	178	ELSEIF( u_ice(ji,jj) > 0._wp ) THEN ; zcu_box(ji,jj) = u_ice(ji-1,jj)
	179	ELSE ; zcu_box(ji,jj) = u_ice(ji ,jj)
	180	ENDIF
	181
	182	IF ( v_ice(ji,jj) * v_ice(ji,jj-1) <= 0._wp ) THEN ; zcv_box(ji,jj) = 0._wp
	183	ELSEIF( v_ice(ji,jj) > 0._wp ) THEN ; zcv_box(ji,jj) = v_ice(ji,jj-1)
	184	ELSE ; zcv_box(ji,jj) = v_ice(ji,jj )
	185	ENDIF
	186	END DO
	187	END DO
	188
	189	! advection
	190	DO jt = 1, initad
	191	CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, ato_i(:,:) ) ! Open water area
	192	DO jl = 1, jpl
	193	CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, a_i(:,:,jl) ) ! Ice area
	194	CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, v_i(:,:,jl) ) ! Ice volume
	195	CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, smv_i(:,:,jl) ) ! Salt content
	196	CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, oa_i (:,:,jl) ) ! Age content
	197	DO jk = 1, nlay_i
	198	CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, e_i(:,:,jk,jl) ) ! Ice heat content
[4161]	199	END DO
[7646]	200	CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, v_s(:,:,jl) ) ! Snow volume
	201	CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, e_s(:,:,1,jl) ) ! Snow heat content
[4161]	202	END DO
	203	END DO
[7646]	204	!
[7753]	205	at_i(:,:) = a_i(:,:,1) ! total ice fraction
[7646]	206	DO jl = 2, jpl
[7753]	207	at_i(:,:) = at_i(:,:) + a_i(:,:,jl)
[7646]	208	END DO
	209	!
[4161]	210
[7646]	211	!=============================!
	212	CASE ( -1 ) !== Prather scheme ==!
	213	!=============================!
[5123]	214
[7646]	215
	216	IF( kt == nit000 .AND. lwp ) THEN
	217	WRITE(numout,*)''
	218	WRITE(numout,*)'lim_adv_xy : Prather advection scheme'
	219	WRITE(numout,*)'~~~~~~~~~~~'
[5123]	220	ENDIF
[7646]	221
[7753]	222	zarea(:,:) = e1e2t(:,:)
[7646]	223
[7753]	224	!-------------------------
	225	! transported fields
	226	!-------------------------
	227	z0opw(:,:,1) = ato_i(:,:) * e1e2t(:,:) ! Open water area
[2715]	228	DO jl = 1, jpl
[7753]	229	z0snw (:,:,jl) = v_s (:,:, jl) * e1e2t(:,:) ! Snow volume
	230	z0ice(:,:,jl) = v_i (:,:, jl) * e1e2t(:,:) ! Ice volume
	231	z0ai (:,:,jl) = a_i (:,:, jl) * e1e2t(:,:) ! Ice area
	232	z0smi (:,:,jl) = smv_i(:,:, jl) * e1e2t(:,:) ! Salt content
	233	z0oi (:,:,jl) = oa_i (:,:, jl) * e1e2t(:,:) ! Age content
	234	z0es (:,:,jl) = e_s (:,:,1,jl) * e1e2t(:,:) ! Snow heat content
[7646]	235	DO jk = 1, nlay_i
[7753]	236	z0ei (:,:,jk,jl) = e_i (:,:,jk,jl) * e1e2t(:,:) ! Ice heat content
[5123]	237	END DO
[825]	238	END DO
	239
[921]	240
[2715]	241	IF( MOD( ( kt - 1) / nn_fsbc , 2 ) == 0 ) THEN !== odd ice time step: adv_x then adv_y ==!
[5123]	242	DO jt = 1, initad
[7646]	243	CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0opw (:,:,1), sxopw(:,:), & !--- ice open water area
	244	& sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) )
	245	CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0opw (:,:,1), sxopw(:,:), &
	246	& sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) )
[825]	247	DO jl = 1, jpl
[7646]	248	CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), & !--- ice volume ---
	249	& sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) )
	250	CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), &
	251	& sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) )
	252	CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), & !--- snow volume ---
	253	& sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) )
	254	CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), &
	255	& sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) )
	256	CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), & !--- ice salinity ---
	257	& sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) )
	258	CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), &
	259	& sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) )
	260	CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), & !--- ice age ---
	261	& sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) )
	262	CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), &
	263	& sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) )
	264	CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), & !--- ice concentrations ---
	265	& sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) )
	266	CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), &
	267	& sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) )
	268	CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0es (:,:,jl), sxc0 (:,:,jl), & !--- snow heat contents ---
	269	& sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) )
	270	CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0es (:,:,jl), sxc0 (:,:,jl), &
	271	& sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) )
[5123]	272	DO jk = 1, nlay_i !--- ice heat contents ---
[7646]	273	CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0ei(:,:,jk,jl), sxe (:,:,jk,jl), &
	274	& sxxe(:,:,jk,jl), sye (:,:,jk,jl), &
	275	& syye(:,:,jk,jl), sxye(:,:,jk,jl) )
	276	CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0ei(:,:,jk,jl), sxe (:,:,jk,jl), &
	277	& sxxe(:,:,jk,jl), sye (:,:,jk,jl), &
	278	& syye(:,:,jk,jl), sxye(:,:,jk,jl) )
[825]	279	END DO
	280	END DO
	281	END DO
	282	ELSE
[5123]	283	DO jt = 1, initad
[7646]	284	CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0opw (:,:,1), sxopw(:,:), & !--- ice open water area
	285	& sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) )
	286	CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0opw (:,:,1), sxopw(:,:), &
	287	& sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) )
[825]	288	DO jl = 1, jpl
[7646]	289	CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), & !--- ice volume ---
	290	& sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) )
	291	CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), &
	292	& sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) )
	293	CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), & !--- snow volume ---
	294	& sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) )
	295	CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), &
	296	& sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) )
	297	CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), & !--- ice salinity ---
	298	& sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) )
	299	CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), &
	300	& sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) )
	301	CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), & !--- ice age ---
	302	& sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) )
	303	CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), &
	304	& sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) )
	305	CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), & !--- ice concentrations ---
	306	& sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) )
	307	CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), &
	308	& sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) )
	309	CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0es (:,:,jl), sxc0 (:,:,jl), & !--- snow heat contents ---
	310	& sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) )
	311	CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0es (:,:,jl), sxc0 (:,:,jl), &
	312	& sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) )
[4870]	313	DO jk = 1, nlay_i !--- ice heat contents ---
[7646]	314	CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0ei(:,:,jk,jl), sxe (:,:,jk,jl), &
	315	& sxxe(:,:,jk,jl), sye (:,:,jk,jl), &
	316	& syye(:,:,jk,jl), sxye(:,:,jk,jl) )
	317	CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0ei(:,:,jk,jl), sxe (:,:,jk,jl), &
	318	& sxxe(:,:,jk,jl), sye (:,:,jk,jl), &
	319	& syye(:,:,jk,jl), sxye(:,:,jk,jl) )
[825]	320	END DO
	321	END DO
	322	END DO
	323	ENDIF
	324
	325	!-------------------------------------------
	326	! Recover the properties from their contents
	327	!-------------------------------------------
[7753]	328	ato_i(:,:) = z0opw(:,:,1) * r1_e1e2t(:,:)
[825]	329	DO jl = 1, jpl
[7753]	330	v_i (:,:, jl) = z0ice(:,:,jl) * r1_e1e2t(:,:)
	331	v_s (:,:, jl) = z0snw(:,:,jl) * r1_e1e2t(:,:)
	332	smv_i(:,:, jl) = z0smi(:,:,jl) * r1_e1e2t(:,:)
	333	oa_i (:,:, jl) = z0oi (:,:,jl) * r1_e1e2t(:,:)
	334	a_i (:,:, jl) = z0ai (:,:,jl) * r1_e1e2t(:,:)
	335	e_s (:,:,1,jl) = z0es (:,:,jl) * r1_e1e2t(:,:)
[5123]	336	DO jk = 1, nlay_i
[7753]	337	e_i(:,:,jk,jl) = z0ei(:,:,jk,jl) * r1_e1e2t(:,:)
[5123]	338	END DO
[825]	339	END DO
	340
[7753]	341	at_i(:,:) = a_i(:,:,1) ! total ice fraction
[5123]	342	DO jl = 2, jpl
[7753]	343	at_i(:,:) = at_i(:,:) + a_i(:,:,jl)
[5123]	344	END DO
[7646]	345
[5123]	346
[7646]	347	END SELECT
	348
	349	!------------------------------!
	350	! Diffusion of Ice fields
	351	!------------------------------!
	352	IF( nn_ahi0 /= -1 .AND. nn_limdyn == 2 ) THEN
	353	!
	354	! --- Prepare diffusion for variables with categories --- !
	355	! mask eddy diffusivity coefficient at ocean U- and V-points
[6490]	356	jm=1
	357	DO jl = 1, jpl
	358	DO jj = 1, jpjm1 ! NB: has not to be defined on jpj line and jpi row
[7646]	359	DO ji = 1 , fs_jpim1
[6490]	360	pahu3D(ji,jj,jl) = ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -a_i(ji ,jj, jl ) ) ) ) &
	361	& * ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -a_i(ji+1,jj, jl ) ) ) ) * ahiu(ji,jj)
	362	pahv3D(ji,jj,jl) = ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -a_i(ji, jj, jl ) ) ) ) &
	363	& * ( 1._wp - MAX( 0._wp, SIGN( 1._wp,- a_i(ji, jj+1,jl ) ) ) ) * ahiv(ji,jj)
	364	END DO
	365	END DO
[825]	366
[7753]	367	zhdfptab(:,:,jm)= a_i (:,:, jl); jm = jm + 1
	368	zhdfptab(:,:,jm)= v_i (:,:, jl); jm = jm + 1
	369	zhdfptab(:,:,jm)= v_s (:,:, jl); jm = jm + 1
	370	zhdfptab(:,:,jm)= smv_i(:,:, jl); jm = jm + 1
	371	zhdfptab(:,:,jm)= oa_i (:,:, jl); jm = jm + 1
	372	zhdfptab(:,:,jm)= e_s (:,:,1,jl); jm = jm + 1
[7646]	373	! Sample of adding more variables to apply lim_hdf (ihdf_vars must be increased)
	374	! zhdfptab(:,:,jm) = variable_1 (:,:,1,jl); jm = jm + 1
	375	! zhdfptab(:,:,jm) = variable_2 (:,:,1,jl); jm = jm + 1
[6490]	376	DO jk = 1, nlay_i
[7753]	377	zhdfptab(:,:,jm)=e_i(:,:,jk,jl); jm= jm+1
[6490]	378	END DO
	379	END DO
[7646]	380
	381	! --- Prepare diffusion for open water area --- !
	382	! mask eddy diffusivity coefficient at ocean U- and V-points
[2715]	383	DO jj = 1, jpjm1 ! NB: has not to be defined on jpj line and jpi row
[7646]	384	DO ji = 1 , fs_jpim1
[6490]	385	pahu3D(ji,jj,jpl+1) = ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -at_i(ji ,jj) ) ) ) &
	386	& * ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -at_i(ji+1,jj) ) ) ) * ahiu(ji,jj)
	387	pahv3D(ji,jj,jpl+1) = ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -at_i(ji,jj ) ) ) ) &
	388	& * ( 1._wp - MAX( 0._wp, SIGN( 1._wp,- at_i(ji,jj+1) ) ) ) * ahiv(ji,jj)
[2715]	389	END DO
	390	END DO
	391	!
[7753]	392	zhdfptab(:,:,jm)= ato_i (:,:);
[2715]	393
[7646]	394	! --- Apply diffusion --- !
	395	CALL lim_hdf( zhdfptab, ihdf_vars )
	396
	397	! --- Recover properties --- !
[6490]	398	jm=1
[825]	399	DO jl = 1, jpl
[7753]	400	a_i (:,:, jl) = zhdfptab(:,:,jm); jm = jm + 1
	401	v_i (:,:, jl) = zhdfptab(:,:,jm); jm = jm + 1
	402	v_s (:,:, jl) = zhdfptab(:,:,jm); jm = jm + 1
	403	smv_i(:,:, jl) = zhdfptab(:,:,jm); jm = jm + 1
	404	oa_i (:,:, jl) = zhdfptab(:,:,jm); jm = jm + 1
	405	e_s (:,:,1,jl) = zhdfptab(:,:,jm); jm = jm + 1
[7646]	406	! Sample of adding more variables to apply lim_hdf
	407	! variable_1 (:,:,1,jl) = zhdfptab(:,:, jm ) ; jm + 1
	408	! variable_2 (:,:,1,jl) = zhdfptab(:,:, jm ) ; jm + 1
[825]	409	DO jk = 1, nlay_i
[7753]	410	e_i(:,:,jk,jl) = zhdfptab(:,:,jm);jm= jm + 1
[2715]	411	END DO
	412	END DO
[7753]	413	ato_i (:,:) = zhdfptab(:,:,jm)
[7646]	414
	415	ENDIF
[6490]	416
[7646]	417	! --- diags ---
	418	DO jj = 1, jpj
	419	DO ji = 1, jpi
	420	diag_trp_ei (ji,jj) = ( SUM( e_i (ji,jj,1:nlay_i,:) ) - zeiold(ji,jj) ) * r1_rdtice
	421	diag_trp_es (ji,jj) = ( SUM( e_s (ji,jj,1:nlay_s,:) ) - zesold(ji,jj) ) * r1_rdtice
	422	diag_trp_smv(ji,jj) = ( SUM( smv_i(ji,jj,:) ) - zsmvold(ji,jj) ) * r1_rdtice
	423	diag_trp_vi (ji,jj) = SUM( v_i(ji,jj,:) - zviold(ji,jj,:) ) * r1_rdtice
	424	diag_trp_vs (ji,jj) = SUM( v_s(ji,jj,:) - zvsold(ji,jj,:) ) * r1_rdtice
[5123]	425	END DO
[7646]	426	END DO
	427
	428	IF( nn_limdyn == 2) THEN
[4688]	429
[5123]	430	! zap small areas
	431	CALL lim_var_zapsmall
[7646]	432
	433	!--- Thickness correction in case too high --- !
[4161]	434	DO jl = 1, jpl
	435	DO jj = 1, jpj
	436	DO ji = 1, jpi
[7646]	437
[4161]	438	IF ( v_i(ji,jj,jl) > 0._wp ) THEN
[7646]	439
[5167]	440	rswitch = MAX( 0._wp , SIGN( 1._wp, a_i(ji,jj,jl) - epsi20 ) )
	441	ht_i (ji,jj,jl) = v_i (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi20 ) * rswitch
	442	ht_s (ji,jj,jl) = v_s (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi20 ) * rswitch
	443
[5134]	444	zdv = v_i(ji,jj,jl) + v_s(ji,jj,jl) - zviold(ji,jj,jl) - zvsold(ji,jj,jl)
[7646]	445
[5134]	446	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]	447	& ( zdv <= 0.0 .AND. (ht_i(ji,jj,jl)+ht_s(ji,jj,jl)) > zhimax(ji,jj,jl) ) ) THEN
[7646]	448
[5134]	449	rswitch = MAX( 0._wp, SIGN( 1._wp, zhimax(ji,jj,jl) - epsi20 ) )
	450	a_i(ji,jj,jl) = rswitch * ( v_i(ji,jj,jl) + v_s(ji,jj,jl) ) / MAX( zhimax(ji,jj,jl), epsi20 )
[7646]	451
[5134]	452	! small correction due to *rswitch for a_i
	453	v_i (ji,jj,jl) = rswitch * v_i (ji,jj,jl)
	454	v_s (ji,jj,jl) = rswitch * v_s (ji,jj,jl)
	455	smv_i(ji,jj,jl) = rswitch * smv_i(ji,jj,jl)
	456	e_s(ji,jj,1,jl) = rswitch * e_s(ji,jj,1,jl)
	457	e_i(ji,jj,1:nlay_i,jl) = rswitch * e_i(ji,jj,1:nlay_i,jl)
[7646]	458
[4161]	459	ENDIF
[7646]	460
[4161]	461	ENDIF
[7646]	462
[825]	463	END DO
	464	END DO
	465	END DO
[4688]	466	! -------------------------------------------------
[5123]	467
[7646]	468	! Force the upper limit of ht_i to always be < hi_max (99 m).
	469	DO jj = 1, jpj
	470	DO ji = 1, jpi
	471	rswitch = MAX( 0._wp , SIGN( 1._wp, ht_i(ji,jj,jpl) - epsi20 ) )
	472	ht_i(ji,jj,jpl) = MIN( ht_i(ji,jj,jpl) , hi_max(jpl) )
	473	a_i (ji,jj,jpl) = v_i(ji,jj,jpl) / MAX( ht_i(ji,jj,jpl) , epsi20 ) * rswitch
[5123]	474	END DO
[7646]	475	END DO
[825]	476
[7646]	477	ENDIF
	478
	479	!------------------------------------------------------------
	480	! Impose a_i < amax if no ridging/rafting or in mono-category
	481	!------------------------------------------------------------
	482	!
[7753]	483	at_i(:,:) = SUM( a_i(:,:,:), dim=3 )
[7646]	484	IF ( nn_limdyn == 1 .OR. ( ( nn_monocat == 2 ) .AND. ( jpl == 1 ) ) ) THEN ! simple conservative piling, comparable with LIM2
[825]	485	DO jl = 1, jpl
	486	DO jj = 1, jpj
	487	DO ji = 1, jpi
[7646]	488	rswitch = MAX( 0._wp, SIGN( 1._wp, at_i(ji,jj) - epsi20 ) )
	489	zda = rswitch * MIN( rn_amax_2d(ji,jj) - at_i(ji,jj), 0._wp ) &
	490	& * a_i(ji,jj,jl) / MAX( at_i(ji,jj), epsi20 )
	491	a_i(ji,jj,jl) = a_i(ji,jj,jl) + zda
[4688]	492	END DO
	493	END DO
	494	END DO
[825]	495	ENDIF
[7646]	496
	497	! --- agglomerate variables -----------------
[7753]	498	vt_i(:,:) = SUM( v_i(:,:,:), dim=3 )
	499	vt_s(:,:) = SUM( v_s(:,:,:), dim=3 )
	500	at_i(:,:) = SUM( a_i(:,:,:), dim=3 )
[7646]	501
	502	! --- open water = 1 if at_i=0 --------------------------------
[7753]	503	WHERE( at_i == 0._wp ) ato_i = 1._wp
[7646]	504
	505	! conservation test
	506	IF( ln_limdiachk ) CALL lim_cons_hsm(1, 'limtrp', zvi_b, zsmv_b, zei_b, zfw_b, zfs_b, zft_b)
	507
[5123]	508	! -------------------------------------------------
	509	! control prints
	510	! -------------------------------------------------
[7646]	511	IF( ln_limctl ) CALL lim_prt( kt, iiceprt, jiceprt,-1, ' - ice dyn & trp - ' )
[2715]	512	!
[5123]	513	!
[4161]	514	IF( nn_timing == 1 ) CALL timing_stop('limtrp')
[7646]	515	!
[825]	516	END SUBROUTINE lim_trp
	517
	518	#else
	519	!!----------------------------------------------------------------------
	520	!! Default option Empty Module No sea-ice model
	521	!!----------------------------------------------------------------------
	522	CONTAINS
	523	SUBROUTINE lim_trp ! Empty routine
	524	END SUBROUTINE lim_trp
	525	#endif
	526	!!======================================================================
	527	END MODULE limtrp
[6490]	528

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