MODULE limthd !!====================================================================== !! *** MODULE limthd *** !! LIM-3 : ice thermodynamic !!====================================================================== !! History : LIM ! 2000-01 (M.A. Morales Maqueda, H. Goosse, T. Fichefet) LIM-1 !! 2.0 ! 2002-07 (C. Ethe, G. Madec) LIM-2 (F90 rewriting) !! 3.0 ! 2005-11 (M. Vancoppenolle) LIM-3 : Multi-layer thermodynamics + salinity variations !! - ! 2007-04 (M. Vancoppenolle) add lim_thd_glohec and lim_thd_con_dif !! 3.2 ! 2009-07 (M. Vancoppenolle, Y. Aksenov, G. Madec) bug correction in rdmsnif !!---------------------------------------------------------------------- #if defined key_lim3 !!---------------------------------------------------------------------- !! 'key_lim3' LIM3 sea-ice model !!---------------------------------------------------------------------- !! lim_thd : thermodynamic of sea ice !!---------------------------------------------------------------------- USE phycst ! physical constants USE dom_oce ! ocean space and time domain variables USE ice ! LIM sea-ice variables USE par_ice USE sbc_oce ! Surface boundary condition: ocean fields USE sbc_ice ! Surface boundary condition: ice fields USE thd_ice ! LIM thermodynamic sea-ice variables USE dom_ice ! LIM sea-ice domain USE domvvl USE limthd_dif USE limthd_dh USE limthd_sal USE limthd_ent USE limtab USE limvar USE in_out_manager ! I/O manager USE prtctl ! Print control USE lbclnk USE lib_mpp IMPLICIT NONE PRIVATE PUBLIC lim_thd ! called by lim_step PUBLIC lim_thd_init ! called by iceini REAL(wp) :: epsi20 = 1e-20 ! constant values REAL(wp) :: epsi16 = 1e-16 ! REAL(wp) :: epsi06 = 1e-06 ! REAL(wp) :: epsi04 = 1e-04 ! REAL(wp) :: zzero = 0.e0 ! REAL(wp) :: zone = 1.e0 ! !! * Substitutions # include "domzgr_substitute.h90" # include "vectopt_loop_substitute.h90" !!---------------------------------------------------------------------- !! NEMO/LIM 3.2 , UCL-LOCEAN-IPSL (2009) !! $Id$ !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) !!---------------------------------------------------------------------- CONTAINS SUBROUTINE lim_thd( kt ) !!------------------------------------------------------------------- !! *** ROUTINE lim_thd *** !! !! ** Purpose : This routine manages the ice thermodynamic. !! !! ** Action : - Initialisation of some variables !! - Some preliminary computation (oceanic heat flux !! at the ice base, snow acc.,heat budget of the leads) !! - selection of the icy points and put them in an array !! - call lim_vert_ther for vert ice thermodynamic !! - back to the geographic grid !! - selection of points for lateral accretion !! - call lim_lat_acc for the ice accretion !! - back to the geographic grid !! !! ** References : H. Goosse et al. 1996, Bul. Soc. Roy. Sc. Liege, 65, 87-90 !!--------------------------------------------------------------------- INTEGER, INTENT(in) :: kt ! number of iteration !! INTEGER :: ji, jj, jk, jl ! dummy loop indices INTEGER :: nbpb ! nb of icy pts for thermo. cal. REAL(wp) :: zfric_umin = 5e-03 ! lower bound for the friction velocity REAL(wp) :: zfric_umax = 2e-02 ! upper bound for the friction velocity REAL(wp) :: zinda, zindb, zthsnice, zfric_u ! temporary scalar REAL(wp) :: zfntlat, zpareff ! - - REAL(wp) :: zeps, zareamin, zcoef REAL(wp), DIMENSION(jpi,jpj) :: zqlbsbq ! link with lead energy budget qldif !!------------------------------------------------------------------- !------------------------------------------------------------------------------! ! 1) Initialization of diagnostic variables ! !------------------------------------------------------------------------------! zeps = 1.e-10 !-------------------- ! 1.2) Heat content !-------------------- ! Change the units of heat content; from global units to J.m3 DO jl = 1, jpl DO jk = 1, nlay_i DO jj = 1, jpj DO ji = 1, jpi !Energy of melting q(S,T) [J.m-3] e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) / ( area(ji,jj) * MAX( v_i(ji,jj,jl) , epsi06 ) ) * nlay_i !0 if no ice and 1 if yes zindb = 1.0 - MAX ( 0.0 , SIGN ( 1.0 , - ht_i(ji,jj,jl) ) ) !convert units ! very important that this line is here e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) * unit_fac * zindb END DO END DO END DO DO jk = 1, nlay_s DO jj = 1, jpj DO ji = 1, jpi !Energy of melting q(S,T) [J.m-3] e_s(ji,jj,jk,jl) = e_s(ji,jj,jk,jl) / ( area(ji,jj) * MAX( v_s(ji,jj,jl) , epsi06 ) ) * nlay_s !0 if no ice and 1 if yes zindb = 1.0 - MAX ( 0.0 , SIGN ( 1.0 , - ht_s(ji,jj,jl) ) ) !convert units ! very important that this line is here e_s(ji,jj,jk,jl) = e_s(ji,jj,jk,jl) * unit_fac * zindb END DO END DO END DO END DO !----------------------------- ! 1.3) Set some dummies to 0 !----------------------------- rdvosif(:,:) = 0.e0 ! variation of ice volume at surface rdvobif(:,:) = 0.e0 ! variation of ice volume at bottom fdvolif(:,:) = 0.e0 ! total variation of ice volume rdvonif(:,:) = 0.e0 ! lateral variation of ice volume fstric (:,:) = 0.e0 ! part of solar radiation transmitted through the ice ffltbif(:,:) = 0.e0 ! linked with fstric qfvbq (:,:) = 0.e0 ! linked with fstric rdmsnif(:,:) = 0.e0 ! variation of snow mass per unit area rdmicif(:,:) = 0.e0 ! variation of ice mass per unit area hicifp (:,:) = 0.e0 ! daily thermodynamic ice production. fsbri (:,:) = 0.e0 ! brine flux contribution to salt flux to the ocean fhbri (:,:) = 0.e0 ! brine flux contribution to heat flux to the ocean fseqv (:,:) = 0.e0 ! equivalent salt flux to the ocean due to ice/growth decay !----------------------------------- ! 1.4) Compute global heat content !----------------------------------- qt_i_in (:,:) = 0.e0 qt_s_in (:,:) = 0.e0 qt_i_fin (:,:) = 0.e0 qt_s_fin (:,:) = 0.e0 sum_fluxq(:,:) = 0.e0 fatm (:,:) = 0.e0 ! 2) Partial computation of forcing for the thermodynamic sea ice model. ! !-----------------------------------------------------------------------------! !CDIR NOVERRCHK DO jj = 1, jpj !CDIR NOVERRCHK DO ji = 1, jpi zthsnice = SUM( ht_s(ji,jj,1:jpl) ) + SUM( ht_i(ji,jj,1:jpl) ) zindb = tms(ji,jj) * ( 1.0 - MAX( zzero , SIGN( zone , - zthsnice ) ) ) phicif(ji,jj) = vt_i(ji,jj) pfrld(ji,jj) = 1.0 - at_i(ji,jj) zinda = 1.0 - MAX( zzero , SIGN( zone , - ( 1.0 - pfrld(ji,jj) ) ) ) ! ! solar irradiance transmission at the mixed layer bottom and used in the lead heat budget ! ! practically no "direct lateral ablation" ! ! ! net downward heat flux from the ice to the ocean, expressed as a function of ocean ! ! temperature and turbulent mixing (McPhee, 1992) ! friction velocity zfric_u = MAX ( MIN( SQRT( ust2s(ji,jj) ) , zfric_umax ) , zfric_umin ) ! here the drag will depend on ice thickness and type (0.006) fdtcn(ji,jj) = zindb * rau0 * rcp * 0.006 * zfric_u * ( (sst_m(ji,jj) + rt0) - t_bo(ji,jj) ) ! also category dependent ! !-- Energy from the turbulent oceanic heat flux heat flux coming in the lead qdtcn(ji,jj) = zindb * fdtcn(ji,jj) * (1.0 - at_i(ji,jj)) * rdt_ice ! ! still need to be updated : fdtcn !!!! ! !-- Lead heat budget (part 1, next one is in limthd_dh ! !-- qldif -- (or qldif_1d in 1d routines) qldif(ji,jj) = tms(ji,jj) * rdt_ice * ( & & pfrld(ji,jj) * ( qsr(ji,jj) & ! solar heat & + qns(ji,jj) & ! non solar heat & + fdtcn(ji,jj) & ! turbulent ice-ocean heat & + fsbbq(ji,jj) * ( 1.0 - zindb ) ) & ! residual heat from previous step & - pfrld(ji,jj)**betas * sprecip(ji,jj) * lfus ) ! latent heat of sprecip melting ! Positive heat budget is used for bottom ablation zfntlat = 1.0 - MAX( zzero , SIGN( zone , - qldif(ji,jj) ) ) != 1 if positive heat budget zpareff = 1.0 - zinda * zfntlat != 0 if ice and positive heat budget and 1 if one of those two is false zqlbsbq(ji,jj) = qldif(ji,jj) * ( 1.0 - zpareff ) / MAX( at_i(ji,jj) * rdt_ice , epsi16 ) ! Heat budget of the lead, energy transferred from ice to ocean qldif (ji,jj) = zpareff * qldif(ji,jj) qdtcn (ji,jj) = zpareff * qdtcn(ji,jj) ! Energy needed to bring ocean surface layer until its freezing (qcmif, limflx) qcmif (ji,jj) = rau0 * rcp * fse3t(ji,jj,1) * ( t_bo(ji,jj) - (sst_m(ji,jj) + rt0) ) * ( 1. - zinda ) ! oceanic heat flux (limthd_dh) fbif (ji,jj) = zindb * ( fsbbq(ji,jj) / MAX( at_i(ji,jj) , epsi20 ) + fdtcn(ji,jj) ) ! END DO END DO !------------------------------------------------------------------------------! ! 3) Select icy points and fulfill arrays for the vectorial grid. !------------------------------------------------------------------------------! DO jl = 1, jpl !loop over ice categories IF( kt == nit000 .AND. lwp ) THEN WRITE(numout,*) ' lim_thd : transfer to 1D vectors. Category no : ', jl WRITE(numout,*) ' ~~~~~~~~' ENDIF zareamin = 1.0e-10 nbpb = 0 DO jj = 1, jpj DO ji = 1, jpi IF ( a_i(ji,jj,jl) .gt. zareamin ) THEN nbpb = nbpb + 1 npb(nbpb) = (jj - 1) * jpi + ji ENDIF ! debug point to follow IF ( (ji.eq.jiindx).AND.(jj.eq.jjindx) ) THEN jiindex_1d = nbpb ENDIF END DO END DO !------------------------------------------------------------------------------! ! 4) Thermodynamic computation !------------------------------------------------------------------------------! IF( lk_mpp ) CALL mpp_ini_ice( nbpb ) IF( nbpb > 0 ) THEN ! If there is no ice, do nothing. !------------------------- ! 4.1 Move to 1D arrays !------------------------- CALL tab_2d_1d( nbpb, at_i_b (1:nbpb), at_i , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, a_i_b (1:nbpb), a_i(:,:,jl) , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, ht_i_b (1:nbpb), ht_i(:,:,jl) , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, ht_s_b (1:nbpb), ht_s(:,:,jl) , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, t_su_b (1:nbpb), t_su(:,:,jl) , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, sm_i_b (1:nbpb), sm_i(:,:,jl) , jpi, jpj, npb(1:nbpb) ) DO jk = 1, nlay_s CALL tab_2d_1d( nbpb, t_s_b(1:nbpb,jk), t_s(:,:,jk,jl) , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, q_s_b(1:nbpb,jk), e_s(:,:,jk,jl) , jpi, jpj, npb(1:nbpb) ) END DO DO jk = 1, nlay_i CALL tab_2d_1d( nbpb, t_i_b(1:nbpb,jk), t_i(:,:,jk,jl) , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, q_i_b(1:nbpb,jk), e_i(:,:,jk,jl) , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, s_i_b(1:nbpb,jk), s_i(:,:,jk,jl) , jpi, jpj, npb(1:nbpb) ) END DO CALL tab_2d_1d( nbpb, tatm_ice_1d(1:nbpb), tatm_ice(:,:) , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, qsr_ice_1d (1:nbpb), qsr_ice(:,:,jl) , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, fr1_i0_1d (1:nbpb), fr1_i0 , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, fr2_i0_1d (1:nbpb), fr2_i0 , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, qnsr_ice_1d(1:nbpb), qns_ice(:,:,jl) , jpi, jpj, npb(1:nbpb) ) #if ! defined key_coupled CALL tab_2d_1d( nbpb, qla_ice_1d (1:nbpb), qla_ice(:,:,jl) , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, dqla_ice_1d(1:nbpb), dqla_ice(:,:,jl) , jpi, jpj, npb(1:nbpb) ) #endif CALL tab_2d_1d( nbpb, dqns_ice_1d(1:nbpb), dqns_ice(:,:,jl) , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, t_bo_b (1:nbpb), t_bo , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, sprecip_1d (1:nbpb), sprecip , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, fbif_1d (1:nbpb), fbif , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, qldif_1d (1:nbpb), qldif , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, rdmicif_1d (1:nbpb), rdmicif , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, rdmsnif_1d (1:nbpb), rdmsnif , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, dmgwi_1d (1:nbpb), dmgwi , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, qlbbq_1d (1:nbpb), zqlbsbq , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, fseqv_1d (1:nbpb), fseqv , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, fsbri_1d (1:nbpb), fsbri , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, fhbri_1d (1:nbpb), fhbri , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, fstbif_1d (1:nbpb), fstric , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, qfvbq_1d (1:nbpb), qfvbq , jpi, jpj, npb(1:nbpb) ) !-------------------------------- ! 4.3) Thermodynamic processes !-------------------------------- IF( con_i ) CALL lim_thd_enmelt( 1, nbpb ) ! computes sea ice energy of melting IF( con_i ) CALL lim_thd_glohec( qt_i_in, qt_s_in, q_i_layer_in, 1, nbpb, jl ) ! !---------------------------------! CALL lim_thd_dif( 1, nbpb, jl ) ! Ice/Snow Temperature profile ! ! !---------------------------------! CALL lim_thd_enmelt( 1, nbpb ) ! computes sea ice energy of melting compulsory for limthd_dh IF( con_i ) CALL lim_thd_glohec ( qt_i_fin, qt_s_fin, q_i_layer_fin, 1, nbpb, jl ) IF( con_i ) CALL lim_thd_con_dif( 1 , nbpb , jl ) ! !---------------------------------! CALL lim_thd_dh( 1, nbpb, jl ) ! Ice/Snow thickness ! ! !---------------------------------! ! !---------------------------------! CALL lim_thd_ent( 1, nbpb, jl ) ! Ice/Snow enthalpy remapping ! ! !---------------------------------! ! !---------------------------------! CALL lim_thd_sal( 1, nbpb ) ! Ice salinity computation ! ! !---------------------------------! ! CALL lim_thd_enmelt(1,nbpb) ! computes sea ice energy of melting IF( con_i ) CALL lim_thd_glohec( qt_i_fin, qt_s_fin, q_i_layer_fin, 1, nbpb, jl ) IF( con_i ) CALL lim_thd_con_dh ( 1 , nbpb , jl ) !-------------------------------- ! 4.4) Move 1D to 2D vectors !-------------------------------- CALL tab_1d_2d( nbpb, at_i , npb, at_i_b(1:nbpb), jpi, jpj ) CALL tab_1d_2d( nbpb, ht_i(:,:,jl), npb, ht_i_b(1:nbpb), jpi, jpj ) CALL tab_1d_2d( nbpb, ht_s(:,:,jl), npb, ht_s_b(1:nbpb), jpi, jpj ) CALL tab_1d_2d( nbpb, a_i (:,:,jl), npb, a_i_b(1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, t_su(:,:,jl), npb, t_su_b(1:nbpb), jpi, jpj ) CALL tab_1d_2d( nbpb, sm_i(:,:,jl), npb, sm_i_b(1:nbpb), jpi, jpj ) DO jk = 1, nlay_s CALL tab_1d_2d( nbpb, t_s(:,:,jk,jl), npb, t_s_b(1:nbpb,jk), jpi, jpj) CALL tab_1d_2d( nbpb, e_s(:,:,jk,jl), npb, q_s_b(1:nbpb,jk), jpi, jpj) END DO DO jk = 1, nlay_i CALL tab_1d_2d( nbpb, t_i(:,:,jk,jl), npb, t_i_b(1:nbpb,jk), jpi, jpj) CALL tab_1d_2d( nbpb, e_i(:,:,jk,jl), npb, q_i_b(1:nbpb,jk), jpi, jpj) CALL tab_1d_2d( nbpb, s_i(:,:,jk,jl), npb, s_i_b(1:nbpb,jk), jpi, jpj) END DO CALL tab_1d_2d( nbpb, fstric , npb, fstbif_1d (1:nbpb), jpi, jpj ) CALL tab_1d_2d( nbpb, qldif , npb, qldif_1d (1:nbpb), jpi, jpj ) CALL tab_1d_2d( nbpb, qfvbq , npb, qfvbq_1d (1:nbpb), jpi, jpj ) CALL tab_1d_2d( nbpb, rdmicif, npb, rdmicif_1d(1:nbpb), jpi, jpj ) CALL tab_1d_2d( nbpb, rdmsnif, npb, rdmsnif_1d(1:nbpb), jpi, jpj ) CALL tab_1d_2d( nbpb, dmgwi , npb, dmgwi_1d (1:nbpb), jpi, jpj ) CALL tab_1d_2d( nbpb, rdvosif, npb, dvsbq_1d (1:nbpb), jpi, jpj ) CALL tab_1d_2d( nbpb, rdvobif, npb, dvbbq_1d (1:nbpb), jpi, jpj ) CALL tab_1d_2d( nbpb, fdvolif, npb, dvlbq_1d (1:nbpb), jpi, jpj ) CALL tab_1d_2d( nbpb, rdvonif, npb, dvnbq_1d (1:nbpb), jpi, jpj ) CALL tab_1d_2d( nbpb, fseqv , npb, fseqv_1d (1:nbpb), jpi, jpj ) IF( num_sal == 2 ) THEN CALL tab_1d_2d( nbpb, fsbri, npb, fsbri_1d(1:nbpb), jpi, jpj ) CALL tab_1d_2d( nbpb, fhbri, npb, fhbri_1d(1:nbpb), jpi, jpj ) ENDIF !+++++ !temporary stuff for a dummy version CALL tab_1d_2d( nbpb, dh_i_surf2D, npb, dh_i_surf(1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, dh_i_bott2D, npb, dh_i_bott(1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, fsup2D , npb, fsup (1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, focea2D , npb, focea (1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, s_i_newice , npb, s_i_new (1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, izero(:,:,jl) , npb, i0 (1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, qns_ice(:,:,jl), npb, qnsr_ice_1d(1:nbpb), jpi, jpj) !+++++ IF( lk_mpp ) CALL mpp_comm_free( ncomm_ice ) !RB necessary ?? ENDIF ! END DO !------------------------------------------------------------------------------! ! 5) Global variables, diagnostics !------------------------------------------------------------------------------! !------------------------ ! 5.1) Ice heat content !------------------------ ! Enthalpies are global variables we have to readjust the units zcoef = 1.e0 / ( unit_fac * REAL(nlay_i) ) DO jl = 1, jpl DO jk = 1, nlay_i ! Multiply by volume, divide by nlayers so that heat content in 10^9 Joules e_i(:,:,jk,jl) = e_i(:,:,jk,jl) * area(:,:) * a_i(:,:,jl) * ht_i(:,:,jl) * zcoef END DO END DO !------------------------ ! 5.2) Snow heat content !------------------------ ! Enthalpies are global variables we have to readjust the units zcoef = 1.e0 / ( unit_fac * REAL(nlay_s) ) DO jl = 1, jpl DO jk = 1, nlay_s ! Multiply by volume, so that heat content in 10^9 Joules e_s(:,:,jk,jl) = e_s(:,:,jk,jl) * area(:,:) * a_i(:,:,jl) * ht_s(:,:,jl) * zcoef END DO END DO !---------------------------------- ! 5.3) Change thickness to volume !---------------------------------- CALL lim_var_eqv2glo !-------------------------------------------- ! 5.4) Diagnostic thermodynamic growth rates !-------------------------------------------- d_v_i_thd(:,:,:) = v_i (:,:,:) - old_v_i(:,:,:) ! ice volumes dv_dt_thd(:,:,:) = d_v_i_thd(:,:,:) / rdt_ice * 86400.0 IF( con_i ) fbif(:,:) = fbif(:,:) + zqlbsbq(:,:) IF(ln_ctl) THEN ! Control print CALL prt_ctl_info(' ') CALL prt_ctl_info(' - Cell values : ') CALL prt_ctl_info(' ~~~~~~~~~~~~~ ') CALL prt_ctl(tab2d_1=area , clinfo1=' lim_thd : cell area :') CALL prt_ctl(tab2d_1=at_i , clinfo1=' lim_thd : at_i :') CALL prt_ctl(tab2d_1=vt_i , clinfo1=' lim_thd : vt_i :') CALL prt_ctl(tab2d_1=vt_s , clinfo1=' lim_thd : vt_s :') DO jl = 1, jpl CALL prt_ctl_info(' ') CALL prt_ctl_info(' - Category : ', ivar1=jl) CALL prt_ctl_info(' ~~~~~~~~~~') CALL prt_ctl(tab2d_1=a_i (:,:,jl) , clinfo1= ' lim_thd : a_i : ') CALL prt_ctl(tab2d_1=ht_i (:,:,jl) , clinfo1= ' lim_thd : ht_i : ') CALL prt_ctl(tab2d_1=ht_s (:,:,jl) , clinfo1= ' lim_thd : ht_s : ') CALL prt_ctl(tab2d_1=v_i (:,:,jl) , clinfo1= ' lim_thd : v_i : ') CALL prt_ctl(tab2d_1=v_s (:,:,jl) , clinfo1= ' lim_thd : v_s : ') CALL prt_ctl(tab2d_1=e_s (:,:,1,jl) , clinfo1= ' lim_thd : e_s : ') CALL prt_ctl(tab2d_1=t_su (:,:,jl) , clinfo1= ' lim_thd : t_su : ') CALL prt_ctl(tab2d_1=t_s (:,:,1,jl) , clinfo1= ' lim_thd : t_snow : ') CALL prt_ctl(tab2d_1=sm_i (:,:,jl) , clinfo1= ' lim_thd : sm_i : ') CALL prt_ctl(tab2d_1=smv_i (:,:,jl) , clinfo1= ' lim_thd : smv_i : ') DO jk = 1, nlay_i CALL prt_ctl_info(' ') CALL prt_ctl_info(' - Layer : ', ivar1=jk) CALL prt_ctl_info(' ~~~~~~~') CALL prt_ctl(tab2d_1=t_i(:,:,jk,jl) , clinfo1= ' lim_thd : t_i : ') CALL prt_ctl(tab2d_1=e_i(:,:,jk,jl) , clinfo1= ' lim_thd : e_i : ') END DO END DO ENDIF END SUBROUTINE lim_thd SUBROUTINE lim_thd_glohec( eti, ets, etilayer, kideb, kiut, jl ) !!----------------------------------------------------------------------- !! *** ROUTINE lim_thd_glohec *** !! !! ** Purpose : Compute total heat content for each category !! Works with 1d vectors only !!----------------------------------------------------------------------- INTEGER , INTENT(in ) :: kideb, kiut ! bounds for the spatial loop INTEGER , INTENT(in ) :: jl ! category number REAL(wp), INTENT( out), DIMENSION (jpij,jpl ) :: eti, ets ! vertically-summed heat content for ice & snow REAL(wp), INTENT( out), DIMENSION (jpij,jkmax) :: etilayer ! heat content for ice layers !! INTEGER :: ji,jk ! loop indices REAL(wp) :: zeps ! very small value (1.e-10) !!----------------------------------------------------------------------- eti(:,:) = 0.e0 ets(:,:) = 0.e0 zeps = 1.e-10 DO jk = 1, nlay_i ! total q over all layers, ice [J.m-2] DO ji = kideb, kiut etilayer(ji,jk) = q_i_b(ji,jk) * ht_i_b(ji) / nlay_i eti (ji,jl) = eti(ji,jl) + etilayer(ji,jk) END DO END DO DO ji = kideb, kiut ! total q over all layers, snow [J.m-2] ets(ji,jl) = ets(ji,jl) + q_s_b(ji,1) * ht_s_b(ji) / nlay_s END DO IF(lwp) WRITE(numout,*) ' lim_thd_glohec ' IF(lwp) WRITE(numout,*) ' qt_i_in : ', eti(jiindex_1d,jl) / rdt_ice IF(lwp) WRITE(numout,*) ' qt_s_in : ', ets(jiindex_1d,jl) / rdt_ice IF(lwp) WRITE(numout,*) ' qt_in : ', ( eti(jiindex_1d,jl) + ets(jiindex_1d,jl) ) / rdt_ice ! END SUBROUTINE lim_thd_glohec SUBROUTINE lim_thd_con_dif( kideb, kiut, jl ) !!----------------------------------------------------------------------- !! *** ROUTINE lim_thd_con_dif *** !! !! ** Purpose : Test energy conservation after heat diffusion !!------------------------------------------------------------------- INTEGER , INTENT(in ) :: kideb, kiut ! bounds for the spatial loop INTEGER , INTENT(in ) :: jl ! category number INTEGER :: ji, jk ! loop indices INTEGER :: zji, zjj INTEGER :: numce ! number of points for which conservation is violated REAL(wp) :: meance ! mean conservation error REAL(wp) :: max_cons_err, max_surf_err !!--------------------------------------------------------------------- max_cons_err = 1.0 ! maximum tolerated conservation error max_surf_err = 0.001 ! maximum tolerated surface error !-------------------------- ! Increment of energy !-------------------------- ! global DO ji = kideb, kiut dq_i(ji,jl) = qt_i_fin(ji,jl) - qt_i_in(ji,jl) + qt_s_fin(ji,jl) - qt_s_in(ji,jl) END DO ! layer by layer dq_i_layer(:,:) = q_i_layer_fin(:,:) - q_i_layer_in(:,:) !---------------------------------------- ! Atmospheric heat flux, ice heat budget !---------------------------------------- DO ji = kideb, kiut zji = MOD( npb(ji) - 1, jpi ) + 1 zjj = ( npb(ji) - 1 ) / jpi + 1 fatm(ji,jl) = qnsr_ice_1d(ji) + (1.0-i0(ji))*qsr_ice_1d(ji) sum_fluxq(ji,jl) = fc_su(ji) - fc_bo_i(ji) + qsr_ice_1d(ji)*i0(ji) - fstroc(zji,zjj,jl) END DO !-------------------- ! Conservation error !-------------------- DO ji = kideb, kiut cons_error(ji,jl) = ABS( dq_i(ji,jl) / rdt_ice + sum_fluxq(ji,jl) ) END DO numce = 0 meance = 0.0 DO ji = kideb, kiut IF ( cons_error(ji,jl) .GT. max_cons_err ) THEN numce = numce + 1 meance = meance + cons_error(ji,jl) ENDIF ENDDO IF (numce .GT. 0 ) meance = meance / numce WRITE(numout,*) ' Maximum tolerated conservation error : ', max_cons_err WRITE(numout,*) ' After lim_thd_dif, category : ', jl WRITE(numout,*) ' Mean conservation error on big error points ', meance, numit WRITE(numout,*) ' Number of points where there is a cons err gt than c.e. : ', numce, numit !------------------------------------------------------- ! Surface error due to imbalance between Fatm and Fcsu !------------------------------------------------------- numce = 0.0 meance = 0.0 DO ji = kideb, kiut surf_error(ji,jl) = ABS ( fatm(ji,jl) - fc_su(ji) ) IF ( ( t_su_b(ji) .LT. rtt ) .AND. ( surf_error(ji,jl) .GT. & max_surf_err ) ) THEN numce = numce + 1 meance = meance + surf_error(ji,jl) ENDIF ENDDO IF (numce .GT. 0 ) meance = meance / numce WRITE(numout,*) ' Maximum tolerated surface error : ', max_surf_err WRITE(numout,*) ' After lim_thd_dif, category : ', jl WRITE(numout,*) ' Mean surface error on big error points ', meance, numit WRITE(numout,*) ' Number of points where there is a surf err gt than surf_err : ', numce, numit IF (jiindex_1D.GT.0) WRITE(numout,*) ' fc_su : ', fc_su(jiindex_1d) IF (jiindex_1D.GT.0) WRITE(numout,*) ' fatm : ', fatm(jiindex_1d,jl) IF (jiindex_1D.GT.0) WRITE(numout,*) ' t_su : ', t_su_b(jiindex_1d) !--------------------------------------- ! Write ice state in case of big errors !--------------------------------------- DO ji = kideb, kiut IF ( ( ( t_su_b(ji) .LT. rtt ) .AND. ( surf_error(ji,jl) .GT. max_surf_err ) ) .OR. & ( cons_error(ji,jl) .GT. max_cons_err ) ) THEN zji = MOD( npb(ji) - 1, jpi ) + 1 zjj = ( npb(ji) - 1 ) / jpi + 1 WRITE(numout,*) ' alerte 1 ' WRITE(numout,*) ' Untolerated conservation / surface error after ' WRITE(numout,*) ' heat diffusion in the ice ' WRITE(numout,*) ' Category : ', jl WRITE(numout,*) ' zji , zjj : ', zji, zjj WRITE(numout,*) ' lat, lon : ', gphit(zji,zjj), glamt(zji,zjj) WRITE(numout,*) ' cons_error : ', cons_error(ji,jl) WRITE(numout,*) ' surf_error : ', surf_error(ji,jl) WRITE(numout,*) ' dq_i : ', - dq_i(ji,jl) / rdt_ice WRITE(numout,*) ' Fdt : ', sum_fluxq(ji,jl) WRITE(numout,*) ! WRITE(numout,*) ' qt_i_in : ', qt_i_in(ji,jl) ! WRITE(numout,*) ' qt_s_in : ', qt_s_in(ji,jl) ! WRITE(numout,*) ' qt_i_fin : ', qt_i_fin(ji,jl) ! WRITE(numout,*) ' qt_s_fin : ', qt_s_fin(ji,jl) ! WRITE(numout,*) ' qt : ', qt_i_fin(ji,jl) + & ! qt_s_fin(ji,jl) WRITE(numout,*) ' ht_i : ', ht_i_b(ji) WRITE(numout,*) ' ht_s : ', ht_s_b(ji) WRITE(numout,*) ' t_su : ', t_su_b(ji) WRITE(numout,*) ' t_s : ', t_s_b(ji,1) WRITE(numout,*) ' t_i : ', t_i_b(ji,1:nlay_i) WRITE(numout,*) ' t_bo : ', t_bo_b(ji) WRITE(numout,*) ' q_i : ', q_i_b(ji,1:nlay_i) WRITE(numout,*) ' s_i : ', s_i_b(ji,1:nlay_i) WRITE(numout,*) ' tmelts : ', rtt - tmut*s_i_b(ji,1:nlay_i) WRITE(numout,*) WRITE(numout,*) ' Fluxes ' WRITE(numout,*) ' ~~~~~~ ' WRITE(numout,*) ' fatm : ', fatm(ji,jl) WRITE(numout,*) ' fc_su : ', fc_su (ji) WRITE(numout,*) ' fstr_inice : ', qsr_ice_1d(ji)*i0(ji) WRITE(numout,*) ' fc_bo : ', - fc_bo_i (ji) WRITE(numout,*) ' foc : ', fbif_1d(ji) WRITE(numout,*) ' fstroc : ', fstroc (zji,zjj,jl) WRITE(numout,*) ' i0 : ', i0(ji) WRITE(numout,*) ' qsr_ice : ', (1.0-i0(ji))*qsr_ice_1d(ji) WRITE(numout,*) ' qns_ice : ', qnsr_ice_1d(ji) WRITE(numout,*) ' Conduction fluxes : ' WRITE(numout,*) ' fc_s : ', fc_s(ji,0:nlay_s) WRITE(numout,*) ' fc_i : ', fc_i(ji,0:nlay_i) WRITE(numout,*) WRITE(numout,*) ' Layer by layer ... ' WRITE(numout,*) ' dq_snow : ', ( qt_s_fin(ji,jl) - & qt_s_in(ji,jl) ) & / rdt_ice WRITE(numout,*) ' dfc_snow : ', fc_s(ji,1) - & fc_s(ji,0) DO jk = 1, nlay_i WRITE(numout,*) ' layer : ', jk WRITE(numout,*) ' dq_ice : ', dq_i_layer(ji,jk) / rdt_ice WRITE(numout,*) ' radab : ', radab(ji,jk) WRITE(numout,*) ' dfc_i : ', fc_i(ji,jk) - & fc_i(ji,jk-1) WRITE(numout,*) ' tot f : ', fc_i(ji,jk) - & fc_i(ji,jk-1) - radab(ji,jk) END DO ENDIF END DO ! END SUBROUTINE lim_thd_con_dif SUBROUTINE lim_thd_con_dh(kideb,kiut,jl) !!----------------------------------------------------------------------- !! *** ROUTINE lim_thd_con_dh *** !! !! ** Purpose : Test energy conservation after enthalpy redistr. !! !! history : !! 9.9 ! 07-04 (M.Vancoppenolle) original code !!----------------------------------------------------------------------- INTEGER, INTENT(in) :: & kideb, kiut, & !: bounds for the spatial loop jl !: category number REAL(wp) :: & !: ! goes to trash meance, & !: mean conservation error max_cons_err !: maximum tolerated conservation error INTEGER :: & numce !: number of points for which conservation ! is violated INTEGER :: ji, zji, zjj ! loop indices !!--------------------------------------------------------------------- max_cons_err = 1.0 !-------------------------- ! Increment of energy !-------------------------- ! global DO ji = kideb, kiut dq_i(ji,jl) = qt_i_fin(ji,jl) - qt_i_in(ji,jl) & + qt_s_fin(ji,jl) - qt_s_in(ji,jl) END DO ! layer by layer dq_i_layer(:,:) = q_i_layer_fin(:,:) - q_i_layer_in(:,:) !---------------------------------------- ! Atmospheric heat flux, ice heat budget !---------------------------------------- DO ji = kideb, kiut zji = MOD( npb(ji) - 1, jpi ) + 1 zjj = ( npb(ji) - 1 ) / jpi + 1 fatm(ji,jl) = & qnsr_ice_1d(ji) + & ! atm non solar ! (1.0-i0(ji))*qsr_ice_1d(ji) ! atm solar qsr_ice_1d(ji) ! atm solar sum_fluxq(ji,jl) = fatm(ji,jl) + fbif_1d(ji) - ftotal_fin(ji) & - fstroc(zji,zjj,jl) cons_error(ji,jl) = ABS( dq_i(ji,jl) / rdt_ice + sum_fluxq(ji,jl) ) END DO !-------------------- ! Conservation error !-------------------- DO ji = kideb, kiut cons_error(ji,jl) = ABS( dq_i(ji,jl) / rdt_ice + sum_fluxq(ji,jl) ) END DO numce = 0 meance = 0.0 DO ji = kideb, kiut IF ( cons_error(ji,jl) .GT. max_cons_err ) THEN numce = numce + 1 meance = meance + cons_error(ji,jl) ENDIF ENDDO IF (numce .GT. 0 ) meance = meance / numce WRITE(numout,*) ' Error report - Category : ', jl WRITE(numout,*) ' ~~~~~~~~~~~~ ' WRITE(numout,*) ' Maximum tolerated conservation error : ', max_cons_err WRITE(numout,*) ' After lim_thd_ent, category : ', jl WRITE(numout,*) ' Mean conservation error on big error points ', meance, & numit WRITE(numout,*) ' Number of points where there is a cons err gt than 0.1 W/m2 : ', numce, numit !--------------------------------------- ! Write ice state in case of big errors !--------------------------------------- DO ji = kideb, kiut IF ( cons_error(ji,jl) .GT. max_cons_err ) THEN zji = MOD( npb(ji) - 1, jpi ) + 1 zjj = ( npb(ji) - 1 ) / jpi + 1 WRITE(numout,*) ' alerte 1 - category : ', jl WRITE(numout,*) ' Untolerated conservation error after limthd_ent ' WRITE(numout,*) ' zji , zjj : ', zji, zjj WRITE(numout,*) ' lat, lon : ', gphit(zji,zjj), glamt(zji,zjj) WRITE(numout,*) ' * ' WRITE(numout,*) ' Ftotal : ', sum_fluxq(ji,jl) WRITE(numout,*) ' dq_t : ', - dq_i(ji,jl) / rdt_ice WRITE(numout,*) ' dq_i : ', - ( qt_i_fin(ji,jl) - qt_i_in(ji,jl) ) / rdt_ice WRITE(numout,*) ' dq_s : ', - ( qt_s_fin(ji,jl) - qt_s_in(ji,jl) ) / rdt_ice WRITE(numout,*) ' cons_error : ', cons_error(ji,jl) WRITE(numout,*) ' * ' WRITE(numout,*) ' Fluxes --- : ' WRITE(numout,*) ' fatm : ', fatm(ji,jl) WRITE(numout,*) ' foce : ', fbif_1d(ji) WRITE(numout,*) ' fres : ', ftotal_fin(ji) WRITE(numout,*) ' fhbri : ', fhbricat(zji,zjj,jl) WRITE(numout,*) ' * ' WRITE(numout,*) ' Heat contents --- : ' WRITE(numout,*) ' qt_s_in : ', qt_s_in(ji,jl) / rdt_ice WRITE(numout,*) ' qt_i_in : ', qt_i_in(ji,jl) / rdt_ice WRITE(numout,*) ' qt_in : ', ( qt_i_in(ji,jl) + & qt_s_in(ji,jl) ) / rdt_ice WRITE(numout,*) ' qt_s_fin : ', qt_s_fin(ji,jl) / rdt_ice WRITE(numout,*) ' qt_i_fin : ', qt_i_fin(ji,jl) / rdt_ice WRITE(numout,*) ' qt_fin : ', ( qt_i_fin(ji,jl) + & qt_s_fin(ji,jl) ) / rdt_ice WRITE(numout,*) ' * ' WRITE(numout,*) ' Ice variables --- : ' WRITE(numout,*) ' ht_i : ', ht_i_b(ji) WRITE(numout,*) ' ht_s : ', ht_s_b(ji) WRITE(numout,*) ' dh_s_tot : ', dh_s_tot(ji) WRITE(numout,*) ' dh_snowice: ', dh_snowice(ji) WRITE(numout,*) ' dh_i_surf : ', dh_i_surf(ji) WRITE(numout,*) ' dh_i_bott : ', dh_i_bott(ji) ENDIF ! END DO ! END SUBROUTINE lim_thd_con_dh SUBROUTINE lim_thd_enmelt( kideb, kiut ) !!----------------------------------------------------------------------- !! *** ROUTINE lim_thd_enmelt *** !! !! ** Purpose : Computes sea ice energy of melting q_i (J.m-3) !! !! ** Method : Formula (Bitz and Lipscomb, 1999) !! !!------------------------------------------------------------------- INTEGER, INTENT(in) :: kideb, kiut ! bounds for the spatial loop !! INTEGER :: ji, jk !dummy loop indices REAL(wp) :: ztmelts, zeps ! temporary scalar !!------------------------------------------------------------------- zeps = 1.e-10 ! DO jk = 1, nlay_i ! Sea ice energy of melting DO ji = kideb, kiut ztmelts = - tmut * s_i_b(ji,jk) + rtt q_i_b(ji,jk) = rhoic * ( cpic * ( ztmelts - t_i_b(ji,jk) ) & & + lfus * ( 1.0 - (ztmelts-rtt) / MIN( t_i_b(ji,jk)-rtt, -zeps ) ) & & - rcp * ( ztmelts-rtt ) ) END DO END DO DO jk = 1, nlay_s ! Snow energy of melting DO ji = kideb,kiut q_s_b(ji,jk) = rhosn * ( cpic * ( rtt - t_s_b(ji,jk) ) + lfus ) END DO END DO ! END SUBROUTINE lim_thd_enmelt SUBROUTINE lim_thd_init !!----------------------------------------------------------------------- !! *** ROUTINE lim_thd_init *** !! !! ** Purpose : Physical constants and parameters linked to the ice !! thermodynamics !! !! ** Method : Read the namicethd namelist and check the ice-thermo !! parameter values called at the first timestep (nit000) !! !! ** input : Namelist namicether !!------------------------------------------------------------------- NAMELIST/namicethd/ hmelt , hiccrit, fraz_swi, maxfrazb, vfrazb, Cfrazb, & & hicmin, hiclim, amax , & & sbeta , parlat, hakspl, hibspl, exld, & & hakdif, hnzst , thth , parsub, alphs, betas, & & kappa_i, nconv_i_thd, maxer_i_thd, thcon_i_swi !!------------------------------------------------------------------- IF(lwp) THEN WRITE(numout,*) WRITE(numout,*) 'lim_thd : Ice Thermodynamics' WRITE(numout,*) '~~~~~~~' ENDIF REWIND( numnam_ice ) ! read Namelist numnam_ice READ ( numnam_ice , namicethd ) IF(lwp) THEN ! control print WRITE(numout,*) WRITE(numout,*)' Namelist of ice parameters for ice thermodynamic computation ' WRITE(numout,*)' maximum melting at the bottom hmelt = ', hmelt WRITE(numout,*)' ice thick. for lateral accretion in NH (SH) hiccrit(1/2) = ', hiccrit WRITE(numout,*)' Frazil ice thickness as a function of wind or not fraz_swi = ', fraz_swi WRITE(numout,*)' Maximum proportion of frazil ice collecting at bottom maxfrazb = ', maxfrazb WRITE(numout,*)' Thresold relative drift speed for collection of frazil vfrazb = ', vfrazb WRITE(numout,*)' Squeezing coefficient for collection of frazil Cfrazb = ', Cfrazb WRITE(numout,*)' ice thick. corr. to max. energy stored in brine pocket hicmin = ', hicmin WRITE(numout,*)' minimum ice thickness hiclim = ', hiclim WRITE(numout,*)' maximum lead fraction amax = ', amax WRITE(numout,*)' numerical carac. of the scheme for diffusion in ice ' WRITE(numout,*)' Cranck-Nicholson (=0.5), implicit (=1), explicit (=0) sbeta = ', sbeta WRITE(numout,*)' percentage of energy used for lateral ablation parlat = ', parlat WRITE(numout,*)' slope of distr. for Hakkinen-Mellor lateral melting hakspl = ', hakspl WRITE(numout,*)' slope of distribution for Hibler lateral melting hibspl = ', hibspl WRITE(numout,*)' exponent for leads-closure rate exld = ', exld WRITE(numout,*)' coefficient for diffusions of ice and snow hakdif = ', hakdif WRITE(numout,*)' threshold thick. for comp. of eq. thermal conductivity zhth = ', thth WRITE(numout,*)' thickness of the surf. layer in temp. computation hnzst = ', hnzst WRITE(numout,*)' switch for snow sublimation (=1) or not (=0) parsub = ', parsub WRITE(numout,*)' coefficient for snow density when snow ice formation alphs = ', alphs WRITE(numout,*)' coefficient for ice-lead partition of snowfall betas = ', betas WRITE(numout,*)' extinction radiation parameter in sea ice (1.0) kappa_i = ', kappa_i WRITE(numout,*)' maximal n. of iter. for heat diffusion computation nconv_i_thd = ', nconv_i_thd WRITE(numout,*)' maximal err. on T for heat diffusion computation maxer_i_thd = ', maxer_i_thd WRITE(numout,*)' switch for comp. of thermal conductivity in the ice thcon_i_swi = ', thcon_i_swi ENDIF ! rcdsn = hakdif * rcdsn rcdic = hakdif * rcdic ! END SUBROUTINE lim_thd_init #else !!---------------------------------------------------------------------- !! Default option NO LIM3 sea-ice model !!---------------------------------------------------------------------- CONTAINS SUBROUTINE lim_thd ! Empty routine END SUBROUTINE lim_thd SUBROUTINE lim_thd_con_dif END SUBROUTINE lim_thd_con_dif #endif !!====================================================================== END MODULE limthd