MODULE limitd_th !!====================================================================== !! *** MODULE limitd_th *** !! LIM3 ice model : ice thickness distribution: Thermodynamics !!====================================================================== !! History : - ! (W. H. Lipscomb and E.C. Hunke) CICE (c) original code !! 3.0 ! 2005-12 (M. Vancoppenolle) adaptation to LIM-3 !! - ! 2006-06 (M. Vancoppenolle) adaptation to include salt, age !! - ! 2007-04 (M. Vancoppenolle) Mass conservation checked !!---------------------------------------------------------------------- #if defined key_lim3 !!---------------------------------------------------------------------- !! 'key_lim3' : LIM3 sea-ice model !!---------------------------------------------------------------------- !! lim_itd_th_rem : !! lim_itd_th_reb : !! lim_itd_fitline : !! lim_itd_shiftice : !!---------------------------------------------------------------------- USE par_oce ! ocean parameters USE dom_oce ! ocean domain USE phycst ! physical constants (ocean directory) USE thd_ice ! LIM-3 thermodynamic variables USE ice ! LIM-3 variables USE limvar ! LIM-3 variables USE prtctl ! Print control USE in_out_manager ! I/O manager USE lib_mpp ! MPP library USE wrk_nemo ! work arrays USE lib_fortran ! to use key_nosignedzero USE limcons ! conservation tests IMPLICIT NONE PRIVATE PUBLIC lim_itd_th_rem PUBLIC lim_itd_th_reb !!---------------------------------------------------------------------- !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2010) !! $Id$ !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) !!---------------------------------------------------------------------- CONTAINS SUBROUTINE lim_itd_th_rem( klbnd, kubnd, kt ) !!------------------------------------------------------------------ !! *** ROUTINE lim_itd_th_rem *** !! !! ** Purpose : computes the redistribution of ice thickness !! after thermodynamic growth of ice thickness !! !! ** Method : Linear remapping !! !! References : W.H. Lipscomb, JGR 2001 !!------------------------------------------------------------------ INTEGER , INTENT (in) :: klbnd ! Start thickness category index point INTEGER , INTENT (in) :: kubnd ! End point on which the the computation is applied INTEGER , INTENT (in) :: kt ! Ocean time step ! INTEGER :: ji, jj, jl ! dummy loop index INTEGER :: ii, ij ! 2D corresponding indices to ji INTEGER :: nd ! local integer REAL(wp) :: zx1, zwk1, zdh0, zetamin, zdamax ! local scalars REAL(wp) :: zx2, zwk2, zda0, zetamax ! - - REAL(wp) :: zx3 CHARACTER (len = 15) :: fieldid INTEGER , POINTER, DIMENSION(:,:,:) :: zdonor ! donor category index REAL(wp), POINTER, DIMENSION(:,:,:) :: zdhice ! ice thickness increment REAL(wp), POINTER, DIMENSION(:,:,:) :: g0 ! coefficients for fitting the line of the ITD REAL(wp), POINTER, DIMENSION(:,:,:) :: g1 ! coefficients for fitting the line of the ITD REAL(wp), POINTER, DIMENSION(:,:,:) :: hL ! left boundary for the ITD for each thickness REAL(wp), POINTER, DIMENSION(:,:,:) :: hR ! left boundary for the ITD for each thickness REAL(wp), POINTER, DIMENSION(:,:,:) :: zht_i_b ! old ice thickness REAL(wp), POINTER, DIMENSION(:,:,:) :: dummy_es REAL(wp), POINTER, DIMENSION(:,:,:) :: zdaice, zdvice ! local increment of ice area and volume REAL(wp), POINTER, DIMENSION(:) :: zvetamin, zvetamax ! maximum values for etas INTEGER , POINTER, DIMENSION(:) :: nind_i, nind_j ! compressed indices for i/j directions INTEGER :: nbrem ! number of cells with ice to transfer REAL(wp) :: zslope ! used to compute local thermodynamic "speeds" REAL(wp), POINTER, DIMENSION(:,:) :: zhb0, zhb1 ! category boundaries for thinnes categories REAL(wp), POINTER, DIMENSION(:,:) :: vt_i_init, vt_i_final ! ice volume summed over categories REAL(wp), POINTER, DIMENSION(:,:) :: vt_s_init, vt_s_final ! snow volume summed over categories REAL(wp), POINTER, DIMENSION(:,:) :: et_i_init, et_i_final ! ice energy summed over categories REAL(wp), POINTER, DIMENSION(:,:) :: et_s_init, et_s_final ! snow energy summed over categories INTEGER , POINTER, DIMENSION(:,:) :: zremap_flag ! compute remapping or not ???? REAL(wp), POINTER, DIMENSION(:,:,:) :: zhbnew ! new boundaries of ice categories !!------------------------------------------------------------------ CALL wrk_alloc( jpi,jpj, zremap_flag ) CALL wrk_alloc( jpi,jpj,jpl-1, zdonor ) CALL wrk_alloc( jpi,jpj,jpl, zdhice, g0, g1, hL, hR, zht_i_b, dummy_es ) CALL wrk_alloc( jpi,jpj,jpl-1, zdaice, zdvice ) CALL wrk_alloc( jpi,jpj,jpl+1, zhbnew, kkstart = 0 ) CALL wrk_alloc( (jpi+1)*(jpj+1), zvetamin, zvetamax ) CALL wrk_alloc( (jpi+1)*(jpj+1), nind_i, nind_j ) CALL wrk_alloc( jpi,jpj, zhb0,zhb1,vt_i_init,vt_i_final,vt_s_init,vt_s_final,et_i_init,et_i_final,et_s_init,et_s_final ) !!---------------------------------------------------------------------------------------------- !! 0) Conservation checkand changes in each ice category !!---------------------------------------------------------------------------------------------- IF( con_i ) THEN CALL lim_column_sum (jpl, v_i, vt_i_init) CALL lim_column_sum (jpl, v_s, vt_s_init) CALL lim_column_sum_energy (jpl, nlay_i, e_i, et_i_init) dummy_es(:,:,:) = e_s(:,:,1,:) CALL lim_column_sum (jpl, dummy_es(:,:,:) , et_s_init) ENDIF !!---------------------------------------------------------------------------------------------- !! 1) Compute thickness and changes in each ice category !!---------------------------------------------------------------------------------------------- IF( kt == nit000 .AND. lwp) THEN WRITE(numout,*) WRITE(numout,*) 'lim_itd_th_rem : Remapping the ice thickness distribution' WRITE(numout,*) '~~~~~~~~~~~~~~~' WRITE(numout,*) ' klbnd : ', klbnd WRITE(numout,*) ' kubnd : ', kubnd ENDIF zdhice(:,:,:) = 0._wp DO jl = klbnd, kubnd DO jj = 1, jpj DO ji = 1, jpi rswitch = MAX( 0.0, SIGN( 1.0, a_i(ji,jj,jl) - epsi10 ) ) !0 if no ice and 1 if yes ht_i(ji,jj,jl) = v_i(ji,jj,jl) / MAX( a_i(ji,jj,jl), epsi10 ) * rswitch rswitch = MAX( 0.0, SIGN( 1.0, a_i_b(ji,jj,jl) - epsi10) ) zht_i_b(ji,jj,jl) = v_i_b(ji,jj,jl) / MAX( a_i_b(ji,jj,jl), epsi10 ) * rswitch IF( a_i(ji,jj,jl) > epsi10 ) zdhice(ji,jj,jl) = ht_i(ji,jj,jl) - zht_i_b(ji,jj,jl) ! clem: useless IF statement? END DO END DO END DO !----------------------------------------------------------------------------------------------- ! 2) Compute fractional ice area in each grid cell !----------------------------------------------------------------------------------------------- at_i(:,:) = 0._wp DO jl = klbnd, kubnd at_i(:,:) = at_i(:,:) + a_i(:,:,jl) END DO !----------------------------------------------------------------------------------------------- ! 3) Identify grid cells with ice !----------------------------------------------------------------------------------------------- nbrem = 0 DO jj = 1, jpj DO ji = 1, jpi IF ( at_i(ji,jj) > epsi10 ) THEN nbrem = nbrem + 1 nind_i(nbrem) = ji nind_j(nbrem) = jj zremap_flag(ji,jj) = 1 ELSE zremap_flag(ji,jj) = 0 ENDIF END DO END DO !----------------------------------------------------------------------------------------------- ! 4) Compute new category boundaries !----------------------------------------------------------------------------------------------- !- 4.1 Compute category boundaries zhbnew(:,:,:) = 0._wp DO jl = klbnd, kubnd - 1 DO ji = 1, nbrem ii = nind_i(ji) ij = nind_j(ji) ! zhbnew(ii,ij,jl) = hi_max(jl) IF ( a_i_b(ii,ij,jl) > epsi10 .AND. a_i_b(ii,ij,jl+1) > epsi10 ) THEN !interpolate between adjacent category growth rates zslope = ( zdhice(ii,ij,jl+1) - zdhice(ii,ij,jl) ) / ( zht_i_b(ii,ij,jl+1) - zht_i_b(ii,ij,jl) ) zhbnew(ii,ij,jl) = hi_max(jl) + zdhice(ii,ij,jl) + zslope * ( hi_max(jl) - zht_i_b(ii,ij,jl) ) ELSEIF( a_i_b(ii,ij,jl) > epsi10) THEN zhbnew(ii,ij,jl) = hi_max(jl) + zdhice(ii,ij,jl) ELSEIF( a_i_b(ii,ij,jl+1) > epsi10) THEN zhbnew(ii,ij,jl) = hi_max(jl) + zdhice(ii,ij,jl+1) ENDIF END DO !- 4.2 Check that each zhbnew lies between adjacent values of ice thickness DO ji = 1, nbrem ii = nind_i(ji) ij = nind_j(ji) ! clem: we do not want ht_i to be too close to either HR or HL otherwise a division by nearly 0 is possible ! in lim_itd_fitline in the case (HR-HL) = 3(Hice - HL) or = 3(HR - Hice) IF ( a_i(ii,ij,jl ) > epsi10 .AND. ht_i(ii,ij,jl ) > ( zhbnew(ii,ij,jl) - epsi10 ) ) THEN zremap_flag(ii,ij) = 0 ELSEIF( a_i(ii,ij,jl+1) > epsi10 .AND. ht_i(ii,ij,jl+1) < ( zhbnew(ii,ij,jl) + epsi10 ) ) THEN zremap_flag(ii,ij) = 0 ENDIF !- 4.3 Check that each zhbnew does not exceed maximal values hi_max IF( zhbnew(ii,ij,jl) < hi_max(jl-1) ) zremap_flag(ii,ij) = 0 IF( zhbnew(ii,ij,jl) > hi_max(jl+1) ) zremap_flag(ii,ij) = 0 ! clem bug: why is not the following instead? !!IF( zhbnew(ii,ij,jl) < hi_max(jl-1) ) zremap_flag(ii,ij) = 0 !!IF( zhbnew(ii,ij,jl) > hi_max(jl ) ) zremap_flag(ii,ij) = 0 END DO END DO !----------------------------------------------------------------------------------------------- ! 5) Identify cells where ITD is to be remapped !----------------------------------------------------------------------------------------------- nbrem = 0 DO jj = 1, jpj DO ji = 1, jpi IF( zremap_flag(ji,jj) == 1 ) THEN nbrem = nbrem + 1 nind_i(nbrem) = ji nind_j(nbrem) = jj ENDIF END DO END DO !----------------------------------------------------------------------------------------------- ! 6) Fill arrays with lowermost / uppermost boundaries of 'new' categories !----------------------------------------------------------------------------------------------- DO jj = 1, jpj DO ji = 1, jpi zhb0(ji,jj) = hi_max(0) zhb1(ji,jj) = hi_max(1) IF( a_i(ji,jj,kubnd) > epsi10 ) THEN zhbnew(ji,jj,kubnd) = MAX( hi_max(kubnd-1), 3._wp * ht_i(ji,jj,kubnd) - 2._wp * zhbnew(ji,jj,kubnd-1) ) ELSE !clem bug zhbnew(ji,jj,kubnd) = hi_max(kubnd) zhbnew(ji,jj,kubnd) = hi_max(kubnd-1) ! not used anyway ENDIF ! clem: we do not want ht_i_b to be too close to either HR or HL otherwise a division by nearly 0 is possible ! in lim_itd_fitline in the case (HR-HL) = 3(Hice - HL) or = 3(HR - Hice) IF ( zht_i_b(ji,jj,klbnd) < ( zhb0(ji,jj) + epsi10 ) ) THEN zremap_flag(ji,jj) = 0 ELSEIF( zht_i_b(ji,jj,klbnd) > ( zhb1(ji,jj) - epsi10 ) ) THEN zremap_flag(ji,jj) = 0 ENDIF END DO END DO !----------------------------------------------------------------------------------------------- ! 7) Compute g(h) !----------------------------------------------------------------------------------------------- !- 7.1 g(h) for category 1 at start of time step CALL lim_itd_fitline( klbnd, zhb0, zhb1, zht_i_b(:,:,klbnd), g0(:,:,klbnd), g1(:,:,klbnd), hL(:,:,klbnd), & & hR(:,:,klbnd), zremap_flag ) !- 7.2 Area lost due to melting of thin ice (first category, klbnd) DO ji = 1, nbrem ii = nind_i(ji) ij = nind_j(ji) IF( a_i(ii,ij,klbnd) > epsi10 ) THEN zdh0 = zdhice(ii,ij,klbnd) !decrease of ice thickness in the lower category IF( zdh0 < 0.0 ) THEN !remove area from category 1 zdh0 = MIN( -zdh0, hi_max(klbnd) ) !Integrate g(1) from 0 to dh0 to estimate area melted zetamax = MIN( zdh0, hR(ii,ij,klbnd) ) - hL(ii,ij,klbnd) IF( zetamax > 0.0 ) THEN zx1 = zetamax zx2 = 0.5 * zetamax * zetamax zda0 = g1(ii,ij,klbnd) * zx2 + g0(ii,ij,klbnd) * zx1 ! ice area removed zdamax = a_i(ii,ij,klbnd) * (1.0 - ht_i(ii,ij,klbnd) / zht_i_b(ii,ij,klbnd) ) ! Constrain new thickness <= ht_i zda0 = MIN( zda0, zdamax ) ! ice area lost due to melting ! of thin ice (zdamax > 0) ! Remove area, conserving volume ht_i(ii,ij,klbnd) = ht_i(ii,ij,klbnd) * a_i(ii,ij,klbnd) / ( a_i(ii,ij,klbnd) - zda0 ) a_i(ii,ij,klbnd) = a_i(ii,ij,klbnd) - zda0 v_i(ii,ij,klbnd) = a_i(ii,ij,klbnd) * ht_i(ii,ij,klbnd) ! clem-useless ? ENDIF ELSE ! if ice accretion zdh0 > 0 ! zhbnew was 0, and is shifted to the right to account for thin ice growth in openwater (F0 = f1) zhbnew(ii,ij,klbnd-1) = MIN( zdh0, hi_max(klbnd) ) ENDIF ENDIF END DO !- 7.3 g(h) for each thickness category DO jl = klbnd, kubnd CALL lim_itd_fitline( jl, zhbnew(:,:,jl-1), zhbnew(:,:,jl), ht_i(:,:,jl), & & g0(:,:,jl), g1(:,:,jl), hL(:,:,jl), hR(:,:,jl), zremap_flag ) END DO !----------------------------------------------------------------------------------------------- ! 8) Compute area and volume to be shifted across each boundary !----------------------------------------------------------------------------------------------- DO jl = klbnd, kubnd - 1 DO jj = 1, jpj DO ji = 1, jpi zdonor(ji,jj,jl) = 0 zdaice(ji,jj,jl) = 0.0 zdvice(ji,jj,jl) = 0.0 END DO END DO DO ji = 1, nbrem ii = nind_i(ji) ij = nind_j(ji) IF (zhbnew(ii,ij,jl) > hi_max(jl)) THEN ! transfer from jl to jl+1 ! left and right integration limits in eta space zvetamin(ji) = MAX( hi_max(jl), hL(ii,ij,jl) ) - hL(ii,ij,jl) zvetamax(ji) = MIN( zhbnew(ii,ij,jl), hR(ii,ij,jl) ) - hL(ii,ij,jl) zdonor(ii,ij,jl) = jl ELSE ! zhbnew(jl) <= hi_max(jl) ; transfer from jl+1 to jl ! left and right integration limits in eta space zvetamin(ji) = 0.0 zvetamax(ji) = MIN( hi_max(jl), hR(ii,ij,jl+1) ) - hL(ii,ij,jl+1) zdonor(ii,ij,jl) = jl + 1 ENDIF zetamax = MAX( zvetamax(ji), zvetamin(ji) ) ! no transfer if etamax < etamin zetamin = zvetamin(ji) zx1 = zetamax - zetamin zwk1 = zetamin * zetamin zwk2 = zetamax * zetamax zx2 = 0.5 * ( zwk2 - zwk1 ) zwk1 = zwk1 * zetamin zwk2 = zwk2 * zetamax zx3 = 1.0 / 3.0 * ( zwk2 - zwk1 ) nd = zdonor(ii,ij,jl) zdaice(ii,ij,jl) = g1(ii,ij,nd)*zx2 + g0(ii,ij,nd)*zx1 zdvice(ii,ij,jl) = g1(ii,ij,nd)*zx3 + g0(ii,ij,nd)*zx2 + zdaice(ii,ij,jl)*hL(ii,ij,nd) END DO END DO !!---------------------------------------------------------------------------------------------- !! 9) Shift ice between categories !!---------------------------------------------------------------------------------------------- CALL lim_itd_shiftice ( klbnd, kubnd, zdonor, zdaice, zdvice ) !!---------------------------------------------------------------------------------------------- !! 10) Make sure ht_i >= minimum ice thickness hi_min !!---------------------------------------------------------------------------------------------- DO ji = 1, nbrem ii = nind_i(ji) ij = nind_j(ji) IF ( a_i(ii,ij,1) > epsi10 .AND. ht_i(ii,ij,1) < rn_himin ) THEN a_i (ii,ij,1) = a_i(ii,ij,1) * ht_i(ii,ij,1) / rn_himin ! MV MP 2016 IF ( nn_pnd_scheme > 0 ) THEN a_ip(ii,ij,1) = a_ip(ii,ij,1) * ht_i(ii,ij,1) / rn_himin ENDIF ! END MV MP 2016 ht_i(ii,ij,1) = rn_himin ENDIF END DO !!---------------------------------------------------------------------------------------------- !! 11) Conservation check !!---------------------------------------------------------------------------------------------- IF ( con_i ) THEN CALL lim_column_sum (jpl, v_i, vt_i_final) fieldid = ' v_i : limitd_th ' CALL lim_cons_check (vt_i_init, vt_i_final, 1.0e-6, fieldid) CALL lim_column_sum_energy (jpl, nlay_i, e_i, et_i_final) fieldid = ' e_i : limitd_th ' CALL lim_cons_check (et_i_init, et_i_final, 1.0e-3, fieldid) CALL lim_column_sum (jpl, v_s, vt_s_final) fieldid = ' v_s : limitd_th ' CALL lim_cons_check (vt_s_init, vt_s_final, 1.0e-6, fieldid) dummy_es(:,:,:) = e_s(:,:,1,:) CALL lim_column_sum (jpl, dummy_es(:,:,:) , et_s_final) fieldid = ' e_s : limitd_th ' CALL lim_cons_check (et_s_init, et_s_final, 1.0e-3, fieldid) ENDIF CALL wrk_dealloc( jpi,jpj, zremap_flag ) CALL wrk_dealloc( jpi,jpj,jpl-1, zdonor ) CALL wrk_dealloc( jpi,jpj,jpl, zdhice, g0, g1, hL, hR, zht_i_b, dummy_es ) CALL wrk_dealloc( jpi,jpj,jpl-1, zdaice, zdvice ) CALL wrk_dealloc( jpi,jpj,jpl+1, zhbnew, kkstart = 0 ) CALL wrk_dealloc( (jpi+1)*(jpj+1), zvetamin, zvetamax ) CALL wrk_dealloc( (jpi+1)*(jpj+1), nind_i, nind_j ) CALL wrk_dealloc( jpi,jpj, zhb0,zhb1,vt_i_init,vt_i_final,vt_s_init,vt_s_final,et_i_init,et_i_final,et_s_init,et_s_final ) END SUBROUTINE lim_itd_th_rem SUBROUTINE lim_itd_fitline( num_cat, HbL, Hbr, hice, g0, g1, hL, hR, zremap_flag ) !!------------------------------------------------------------------ !! *** ROUTINE lim_itd_fitline *** !! !! ** Purpose : fit g(h) with a line using area, volume constraints !! !! ** Method : Fit g(h) with a line, satisfying area and volume constraints. !! To reduce roundoff errors caused by large values of g0 and g1, !! we actually compute g(eta), where eta = h - hL, and hL is the !! left boundary. !!------------------------------------------------------------------ INTEGER , INTENT(in ) :: num_cat ! category index REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: HbL, HbR ! left and right category boundaries REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: hice ! ice thickness REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: g0, g1 ! coefficients in linear equation for g(eta) REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: hL ! min value of range over which g(h) > 0 REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: hR ! max value of range over which g(h) > 0 INTEGER , DIMENSION(jpi,jpj), INTENT(in ) :: zremap_flag ! ! INTEGER :: ji,jj ! horizontal indices REAL(wp) :: zh13 ! HbL + 1/3 * (HbR - HbL) REAL(wp) :: zh23 ! HbL + 2/3 * (HbR - HbL) REAL(wp) :: zdhr ! 1 / (hR - hL) REAL(wp) :: zwk1, zwk2 ! temporary variables !!------------------------------------------------------------------ ! DO jj = 1, jpj DO ji = 1, jpi ! IF( zremap_flag(ji,jj) == 1 .AND. a_i(ji,jj,num_cat) > epsi10 & & .AND. hice(ji,jj) > 0._wp ) THEN ! Initialize hL and hR hL(ji,jj) = HbL(ji,jj) hR(ji,jj) = HbR(ji,jj) ! Change hL or hR if hice falls outside central third of range zh13 = 1.0 / 3.0 * ( 2.0 * hL(ji,jj) + hR(ji,jj) ) zh23 = 1.0 / 3.0 * ( hL(ji,jj) + 2.0 * hR(ji,jj) ) IF ( hice(ji,jj) < zh13 ) THEN ; hR(ji,jj) = 3._wp * hice(ji,jj) - 2._wp * hL(ji,jj) ELSEIF( hice(ji,jj) > zh23 ) THEN ; hL(ji,jj) = 3._wp * hice(ji,jj) - 2._wp * hR(ji,jj) ENDIF ! Compute coefficients of g(eta) = g0 + g1*eta zdhr = 1._wp / (hR(ji,jj) - hL(ji,jj)) zwk1 = 6._wp * a_i(ji,jj,num_cat) * zdhr zwk2 = ( hice(ji,jj) - hL(ji,jj) ) * zdhr g0(ji,jj) = zwk1 * ( 2._wp / 3._wp - zwk2 ) g1(ji,jj) = 2._wp * zdhr * zwk1 * ( zwk2 - 0.5 ) ! ELSE ! remap_flag = .false. or a_i < epsi10 hL(ji,jj) = 0._wp hR(ji,jj) = 0._wp g0(ji,jj) = 0._wp g1(ji,jj) = 0._wp ENDIF ! END DO END DO ! END SUBROUTINE lim_itd_fitline SUBROUTINE lim_itd_shiftice( klbnd, kubnd, zdonor, zdaice, zdvice ) !!------------------------------------------------------------------ !! *** ROUTINE lim_itd_shiftice *** !! !! ** Purpose : shift ice across category boundaries, conserving everything !! ( area, volume, energy, age*vol, and mass of salt ) !! !! ** Method : !!------------------------------------------------------------------ INTEGER , INTENT(in ) :: klbnd ! Start thickness category index point INTEGER , INTENT(in ) :: kubnd ! End point on which the the computation is applied INTEGER , DIMENSION(jpi,jpj,jpl-1), INTENT(in ) :: zdonor ! donor category index REAL(wp), DIMENSION(jpi,jpj,jpl-1), INTENT(inout) :: zdaice ! ice area transferred across boundary REAL(wp), DIMENSION(jpi,jpj,jpl-1), INTENT(inout) :: zdvice ! ice volume transferred across boundary INTEGER :: ji, jj, jl, jl2, jl1, jk ! dummy loop indices INTEGER :: ii, ij ! indices when changing from 2D-1D is done REAL(wp), POINTER, DIMENSION(:,:,:) :: zaTsfn REAL(wp), POINTER, DIMENSION(:,:) :: zworka ! temporary array used here REAL(wp) :: zdvsnow, zdesnow ! snow volume and energy transferred REAL(wp) :: zdeice ! ice energy transferred REAL(wp) :: zdsm_vice ! ice salinity times volume transferred REAL(wp) :: zdo_aice ! ice age times volume transferred REAL(wp) :: zdaTsf ! aicen*Tsfcn transferred ! MV MP 2016 REAL(wp) :: zdapnd ! pond fraction transferred REAL(wp) :: zdvpnd ! pond volume transferred ! END MV MP 2016 INTEGER, POINTER, DIMENSION(:) :: nind_i, nind_j ! compressed indices for i/j directions INTEGER :: nbrem ! number of cells with ice to transfer !!------------------------------------------------------------------ CALL wrk_alloc( jpi,jpj,jpl, zaTsfn ) CALL wrk_alloc( jpi,jpj, zworka ) CALL wrk_alloc( (jpi+1)*(jpj+1), nind_i, nind_j ) !---------------------------------------------------------------------------------------------- ! 1) Define a variable equal to a_i*T_su !---------------------------------------------------------------------------------------------- DO jl = klbnd, kubnd zaTsfn(:,:,jl) = a_i(:,:,jl) * t_su(:,:,jl) END DO !------------------------------------------------------------------------------- ! 2) Transfer volume and energy between categories !------------------------------------------------------------------------------- DO jl = klbnd, kubnd - 1 nbrem = 0 DO jj = 1, jpj DO ji = 1, jpi IF (zdaice(ji,jj,jl) > 0.0 ) THEN ! daice(n) can be < puny nbrem = nbrem + 1 nind_i(nbrem) = ji nind_j(nbrem) = jj ENDIF END DO END DO DO ji = 1, nbrem ii = nind_i(ji) ij = nind_j(ji) jl1 = zdonor(ii,ij,jl) rswitch = MAX( 0._wp , SIGN( 1._wp , v_i(ii,ij,jl1) - epsi10 ) ) zworka(ii,ij) = zdvice(ii,ij,jl) / MAX( v_i(ii,ij,jl1), epsi10 ) * rswitch IF( jl1 == jl) THEN ; jl2 = jl1+1 ELSE ; jl2 = jl ENDIF !-------------- ! Ice areas !-------------- a_i(ii,ij,jl1) = a_i(ii,ij,jl1) - zdaice(ii,ij,jl) a_i(ii,ij,jl2) = a_i(ii,ij,jl2) + zdaice(ii,ij,jl) !-------------- ! Ice volumes !-------------- v_i(ii,ij,jl1) = v_i(ii,ij,jl1) - zdvice(ii,ij,jl) v_i(ii,ij,jl2) = v_i(ii,ij,jl2) + zdvice(ii,ij,jl) !-------------- ! Snow volumes !-------------- zdvsnow = v_s(ii,ij,jl1) * zworka(ii,ij) v_s(ii,ij,jl1) = v_s(ii,ij,jl1) - zdvsnow v_s(ii,ij,jl2) = v_s(ii,ij,jl2) + zdvsnow !-------------------- ! Snow heat content !-------------------- zdesnow = e_s(ii,ij,1,jl1) * zworka(ii,ij) e_s(ii,ij,1,jl1) = e_s(ii,ij,1,jl1) - zdesnow e_s(ii,ij,1,jl2) = e_s(ii,ij,1,jl2) + zdesnow !-------------- ! Ice age !-------------- zdo_aice = oa_i(ii,ij,jl1) * zdaice(ii,ij,jl) oa_i(ii,ij,jl1) = oa_i(ii,ij,jl1) - zdo_aice oa_i(ii,ij,jl2) = oa_i(ii,ij,jl2) + zdo_aice !-------------- ! Ice salinity !-------------- zdsm_vice = smv_i(ii,ij,jl1) * zworka(ii,ij) smv_i(ii,ij,jl1) = smv_i(ii,ij,jl1) - zdsm_vice smv_i(ii,ij,jl2) = smv_i(ii,ij,jl2) + zdsm_vice !--------------------- ! Surface temperature !--------------------- zdaTsf = t_su(ii,ij,jl1) * zdaice(ii,ij,jl) zaTsfn(ii,ij,jl1) = zaTsfn(ii,ij,jl1) - zdaTsf zaTsfn(ii,ij,jl2) = zaTsfn(ii,ij,jl2) + zdaTsf ! MV MP 2016 IF ( nn_pnd_scheme > 0 ) THEN !--------------------- ! Pond fraction !--------------------- zdapnd = a_ip(ii,ij,jl1) * zdaice(ii,ij,jl) a_ip(ii,ij,jl1) = a_ip(ii,ij,jl1) - zdapnd a_ip(ii,ij,jl2) = a_ip(ii,ij,jl2) + zdapnd !--------------------- ! Pond volume !--------------------- zdvpnd = v_ip(ii,ij,jl1) * zdaice(ii,ij,jl) v_ip(ii,ij,jl1) = v_ip(ii,ij,jl1) - zdvpnd v_ip(ii,ij,jl2) = v_ip(ii,ij,jl2) + zdvpnd ENDIF ! END MV MP 2016 END DO !------------------ ! Ice heat content !------------------ DO jk = 1, nlay_i DO ji = 1, nbrem ii = nind_i(ji) ij = nind_j(ji) jl1 = zdonor(ii,ij,jl) IF (jl1 == jl) THEN jl2 = jl+1 ELSE ! n1 = n+1 jl2 = jl ENDIF zdeice = e_i(ii,ij,jk,jl1) * zworka(ii,ij) e_i(ii,ij,jk,jl1) = e_i(ii,ij,jk,jl1) - zdeice e_i(ii,ij,jk,jl2) = e_i(ii,ij,jk,jl2) + zdeice END DO END DO END DO ! boundaries, 1 to ncat-1 !----------------------------------------------------------------- ! Update ice thickness and temperature !----------------------------------------------------------------- DO jl = klbnd, kubnd DO jj = 1, jpj DO ji = 1, jpi IF ( a_i(ji,jj,jl) > epsi10 ) THEN ht_i(ji,jj,jl) = v_i (ji,jj,jl) / a_i(ji,jj,jl) t_su(ji,jj,jl) = zaTsfn(ji,jj,jl) / a_i(ji,jj,jl) ELSE ht_i(ji,jj,jl) = 0._wp t_su(ji,jj,jl) = rt0 ENDIF END DO END DO END DO ! CALL wrk_dealloc( jpi,jpj,jpl, zaTsfn ) CALL wrk_dealloc( jpi,jpj, zworka ) CALL wrk_dealloc( (jpi+1)*(jpj+1), nind_i, nind_j ) ! END SUBROUTINE lim_itd_shiftice SUBROUTINE lim_itd_th_reb( klbnd, kubnd ) !!------------------------------------------------------------------ !! *** ROUTINE lim_itd_th_reb *** !! !! ** Purpose : rebin - rebins thicknesses into defined categories !! !! ** Method : !!------------------------------------------------------------------ INTEGER , INTENT (in) :: klbnd ! Start thickness category index point INTEGER , INTENT (in) :: kubnd ! End point on which the the computation is applied ! INTEGER :: ji,jj, jl ! dummy loop indices INTEGER :: zshiftflag ! = .true. if ice must be shifted CHARACTER (len = 15) :: fieldid INTEGER , POINTER, DIMENSION(:,:,:) :: zdonor ! donor category index REAL(wp), POINTER, DIMENSION(:,:,:) :: zdaice, zdvice ! ice area and volume transferred REAL(wp), POINTER, DIMENSION(:,:) :: vt_i_init, vt_i_final ! ice volume summed over categories REAL(wp), POINTER, DIMENSION(:,:) :: vt_s_init, vt_s_final ! snow volume summed over categories !!------------------------------------------------------------------ CALL wrk_alloc( jpi,jpj,jpl, zdonor ) ! interger CALL wrk_alloc( jpi,jpj,jpl, zdaice, zdvice ) CALL wrk_alloc( jpi,jpj, vt_i_init, vt_i_final, vt_s_init, vt_s_final ) ! IF( con_i ) THEN ! conservation check CALL lim_column_sum (jpl, v_i, vt_i_init) CALL lim_column_sum (jpl, v_s, vt_s_init) ENDIF ! !------------------------------------------------------------------------------ ! 1) Compute ice thickness. !------------------------------------------------------------------------------ DO jl = klbnd, kubnd DO jj = 1, jpj DO ji = 1, jpi rswitch = MAX( 0._wp , SIGN( 1._wp, a_i(ji,jj,jl) - epsi10 ) ) ht_i(ji,jj,jl) = v_i (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi10 ) * rswitch END DO END DO END DO !------------------------------------------------------------------------------ ! 2) If a category thickness is not in bounds, shift the ! entire area, volume, and energy to the neighboring category !------------------------------------------------------------------------------ !------------------------- ! Initialize shift arrays !------------------------- DO jl = klbnd, kubnd zdonor(:,:,jl) = 0 zdaice(:,:,jl) = 0._wp zdvice(:,:,jl) = 0._wp END DO !------------------------- ! Move thin categories up !------------------------- DO jl = klbnd, kubnd - 1 ! loop over category boundaries !--------------------------------------- ! identify thicknesses that are too big !--------------------------------------- zshiftflag = 0 DO jj = 1, jpj DO ji = 1, jpi IF( a_i(ji,jj,jl) > epsi10 .AND. ht_i(ji,jj,jl) > hi_max(jl) ) THEN zshiftflag = 1 zdonor(ji,jj,jl) = jl ! begin TECLIM change !zdaice(ji,jj,jl) = a_i(ji,jj,jl) * 0.5_wp !zdvice(ji,jj,jl) = v_i(ji,jj,jl)-zdaice(ji,jj,jl)*(hi_max(jl)+hi_max(jl-1)) * 0.5_wp ! end TECLIM change ! clem: how much of a_i you send in cat sup is somewhat arbitrary zdaice(ji,jj,jl) = a_i(ji,jj,jl) * ( ht_i(ji,jj,jl) - hi_max(jl) + epsi20 ) / ht_i(ji,jj,jl) zdvice(ji,jj,jl) = v_i(ji,jj,jl) - ( a_i(ji,jj,jl) - zdaice(ji,jj,jl) ) * ( hi_max(jl) - epsi20 ) ENDIF END DO END DO IF(lk_mpp) CALL mpp_max( zshiftflag ) IF( zshiftflag == 1 ) THEN ! Shift ice between categories CALL lim_itd_shiftice( klbnd, kubnd, zdonor, zdaice, zdvice ) ! Reset shift parameters zdonor(:,:,jl) = 0 zdaice(:,:,jl) = 0._wp zdvice(:,:,jl) = 0._wp ENDIF ! END DO !---------------------------- ! Move thick categories down !---------------------------- DO jl = kubnd - 1, 1, -1 ! loop over category boundaries !----------------------------------------- ! Identify thicknesses that are too small !----------------------------------------- zshiftflag = 0 DO jj = 1, jpj DO ji = 1, jpi IF( a_i(ji,jj,jl+1) > epsi10 .AND. ht_i(ji,jj,jl+1) <= hi_max(jl) ) THEN ! zshiftflag = 1 zdonor(ji,jj,jl) = jl + 1 zdaice(ji,jj,jl) = a_i(ji,jj,jl+1) zdvice(ji,jj,jl) = v_i(ji,jj,jl+1) ENDIF END DO END DO IF(lk_mpp) CALL mpp_max( zshiftflag ) IF( zshiftflag == 1 ) THEN ! Shift ice between categories CALL lim_itd_shiftice( klbnd, kubnd, zdonor, zdaice, zdvice ) ! Reset shift parameters zdonor(:,:,jl) = 0 zdaice(:,:,jl) = 0._wp zdvice(:,:,jl) = 0._wp ENDIF END DO !------------------------------------------------------------------------------ ! 3) Conservation check !------------------------------------------------------------------------------ IF( con_i ) THEN CALL lim_column_sum (jpl, v_i, vt_i_final) fieldid = ' v_i : limitd_reb ' CALL lim_cons_check (vt_i_init, vt_i_final, 1.0e-6, fieldid) CALL lim_column_sum (jpl, v_s, vt_s_final) fieldid = ' v_s : limitd_reb ' CALL lim_cons_check (vt_s_init, vt_s_final, 1.0e-6, fieldid) ENDIF ! CALL wrk_dealloc( jpi,jpj,jpl, zdonor ) CALL wrk_dealloc( jpi,jpj,jpl, zdaice, zdvice ) CALL wrk_dealloc( jpi,jpj, vt_i_init, vt_i_final, vt_s_init, vt_s_final ) END SUBROUTINE lim_itd_th_reb #else !!---------------------------------------------------------------------- !! Default option Dummy module NO LIM sea-ice model !!---------------------------------------------------------------------- CONTAINS SUBROUTINE lim_itd_th_rem END SUBROUTINE lim_itd_th_rem SUBROUTINE lim_itd_fitline END SUBROUTINE lim_itd_fitline SUBROUTINE lim_itd_shiftice END SUBROUTINE lim_itd_shiftice SUBROUTINE lim_itd_th_reb END SUBROUTINE lim_itd_th_reb #endif !!====================================================================== END MODULE limitd_th