[825] | 1 | MODULE limthd_lac |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE limthd_lac *** |
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| 4 | !! lateral thermodynamic growth of the ice |
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| 5 | !!====================================================================== |
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[2715] | 6 | !! History : LIM ! 2005-12 (M. Vancoppenolle) Original code |
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| 7 | !! - ! 2006-01 (M. Vancoppenolle) add ITD |
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| 8 | !! 3.0 ! 2007-07 (M. Vancoppenolle) Mass and energy conservation tested |
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| 9 | !! 4.0 ! 2011-02 (G. Madec) dynamical allocation |
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| 10 | !!---------------------------------------------------------------------- |
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[888] | 11 | #if defined key_lim3 |
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[825] | 12 | !!---------------------------------------------------------------------- |
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[2528] | 13 | !! 'key_lim3' LIM3 sea-ice model |
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| 14 | !!---------------------------------------------------------------------- |
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[3625] | 15 | !! lim_lat_acr : lateral accretion of ice |
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[2528] | 16 | !!---------------------------------------------------------------------- |
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[3625] | 17 | USE par_oce ! ocean parameters |
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| 18 | USE dom_oce ! domain variables |
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| 19 | USE phycst ! physical constants |
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[8316] | 20 | USE sbc_oce , ONLY : sss_m |
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| 21 | USE sbc_ice , ONLY : utau_ice, vtau_ice |
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[8420] | 22 | USE ice1D ! LIM thermodynamics |
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[3625] | 23 | USE ice ! LIM variables |
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[8420] | 24 | USE icetab ! LIM 2D <==> 1D |
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[8411] | 25 | USE icecons ! LIM conservation |
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[8378] | 26 | USE limthd_ent |
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| 27 | USE limvar |
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| 28 | ! |
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[3625] | 29 | USE in_out_manager ! I/O manager |
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| 30 | USE lib_mpp ! MPP library |
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[4833] | 31 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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[3625] | 32 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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[921] | 33 | |
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[825] | 34 | IMPLICIT NONE |
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| 35 | PRIVATE |
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| 36 | |
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| 37 | PUBLIC lim_thd_lac ! called by lim_thd |
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| 38 | |
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| 39 | !!---------------------------------------------------------------------- |
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[4161] | 40 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
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[1156] | 41 | !! $Id$ |
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[2715] | 42 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[825] | 43 | !!---------------------------------------------------------------------- |
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| 44 | CONTAINS |
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[921] | 45 | |
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[825] | 46 | SUBROUTINE lim_thd_lac |
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| 47 | !!------------------------------------------------------------------- |
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| 48 | !! *** ROUTINE lim_thd_lac *** |
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| 49 | !! |
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| 50 | !! ** Purpose : Computation of the evolution of the ice thickness and |
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| 51 | !! concentration as a function of the heat balance in the leads. |
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| 52 | !! It is only used for lateral accretion |
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| 53 | !! |
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| 54 | !! ** Method : Ice is formed in the open water when ocean lose heat |
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| 55 | !! (heat budget of open water Bl is negative) . |
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| 56 | !! Computation of the increase of 1-A (ice concentration) fol- |
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| 57 | !! lowing the law : |
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| 58 | !! (dA/dt)acc = F[ (1-A)/(1-a) ] * [ Bl / (Li*h0) ] |
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| 59 | !! where - h0 is the thickness of ice created in the lead |
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| 60 | !! - a is a minimum fraction for leads |
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| 61 | !! - F is a monotonic non-increasing function defined as: |
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| 62 | !! F(X)=( 1 - X**exld )**(1.0/exld) |
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| 63 | !! - exld is the exponent closure rate (=2 default val.) |
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| 64 | !! |
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| 65 | !! ** Action : - Adjustment of snow and ice thicknesses and heat |
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| 66 | !! content in brine pockets |
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| 67 | !! - Updating ice internal temperature |
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| 68 | !! - Computation of variation of ice volume and mass |
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[8313] | 69 | !! - Computation of a_i after lateral accretion and |
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[4872] | 70 | !! update ht_s_1d, ht_i_1d and tbif_1d(:,:) |
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[825] | 71 | !!------------------------------------------------------------------------ |
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[7646] | 72 | INTEGER :: ji,jj,jk,jl ! dummy loop indices |
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[8327] | 73 | INTEGER :: iter ! - - |
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[7646] | 74 | REAL(wp) :: ztmelts, zdv, zfrazb, zweight, zde ! local scalars |
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[6416] | 75 | REAL(wp) :: zgamafr, zvfrx, zvgx, ztaux, ztwogp, zf ! - - |
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[2715] | 76 | REAL(wp) :: ztenagm, zvfry, zvgy, ztauy, zvrel2, zfp, zsqcd , zhicrit ! - - |
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[4688] | 77 | |
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| 78 | REAL(wp) :: zQm ! enthalpy exchanged with the ocean (J/m2, >0 towards ocean) |
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| 79 | REAL(wp) :: zEi ! sea ice specific enthalpy (J/kg) |
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| 80 | REAL(wp) :: zEw ! seawater specific enthalpy (J/kg) |
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| 81 | REAL(wp) :: zfmdt ! mass flux x time step (kg/m2, >0 towards ocean) |
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| 82 | |
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| 83 | REAL(wp) :: zv_newfra |
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[8379] | 84 | REAL(wp) :: zvi_b, zsmv_b, zei_b, zfs_b, zfw_b, zft_b ! conservation check |
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[4688] | 85 | |
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[8373] | 86 | INTEGER , DIMENSION(jpij) :: jcat ! indexes of categories where new ice grows |
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| 87 | REAL(wp), DIMENSION(jpij) :: zswinew ! switch for new ice or not |
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[825] | 88 | |
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[8373] | 89 | REAL(wp), DIMENSION(jpij) :: zv_newice ! volume of accreted ice |
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| 90 | REAL(wp), DIMENSION(jpij) :: za_newice ! fractional area of accreted ice |
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| 91 | REAL(wp), DIMENSION(jpij) :: zh_newice ! thickness of accreted ice |
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| 92 | REAL(wp), DIMENSION(jpij) :: ze_newice ! heat content of accreted ice |
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| 93 | REAL(wp), DIMENSION(jpij) :: zs_newice ! salinity of accreted ice |
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| 94 | REAL(wp), DIMENSION(jpij) :: zo_newice ! age of accreted ice |
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| 95 | REAL(wp), DIMENSION(jpij) :: zdv_res ! residual volume in case of excessive heat budget |
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| 96 | REAL(wp), DIMENSION(jpij) :: zda_res ! residual area in case of excessive heat budget |
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| 97 | REAL(wp), DIMENSION(jpij) :: zat_i_1d ! total ice fraction |
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| 98 | REAL(wp), DIMENSION(jpij) :: zv_frazb ! accretion of frazil ice at the ice bottom |
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| 99 | REAL(wp), DIMENSION(jpij) :: zvrel_1d ! relative ice / frazil velocity (1D vector) |
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[825] | 100 | |
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[8373] | 101 | REAL(wp), DIMENSION(jpij,jpl) :: zv_b ! old volume of ice in category jl |
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| 102 | REAL(wp), DIMENSION(jpij,jpl) :: za_b ! old area of ice in category jl |
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| 103 | REAL(wp), DIMENSION(jpij,jpl) :: za_i_1d ! 1-D version of a_i |
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| 104 | REAL(wp), DIMENSION(jpij,jpl) :: zv_i_1d ! 1-D version of v_i |
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| 105 | REAL(wp), DIMENSION(jpij,jpl) :: zsmv_i_1d ! 1-D version of smv_i |
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[825] | 106 | |
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[8373] | 107 | REAL(wp), DIMENSION(jpij,nlay_i,jpl) :: ze_i_1d !: 1-D version of e_i |
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[825] | 108 | |
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[8373] | 109 | REAL(wp), DIMENSION(jpi,jpj) :: zvrel ! relative ice / frazil velocity |
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[5123] | 110 | |
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[6416] | 111 | REAL(wp) :: zcai = 1.4e-3_wp ! ice-air drag (clem: should be dependent on coupling/forcing used) |
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[3294] | 112 | !!-----------------------------------------------------------------------! |
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[825] | 113 | |
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[8411] | 114 | IF( ln_limdiachk ) CALL ice_cons_hsm(0, 'limthd_lac', zvi_b, zsmv_b, zei_b, zfw_b, zfs_b, zft_b) |
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[8379] | 115 | |
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[5167] | 116 | CALL lim_var_agg(1) |
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| 117 | CALL lim_var_glo2eqv |
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[825] | 118 | |
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[921] | 119 | !------------------------------------------------------------------------------! |
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| 120 | ! 3) Collection thickness of ice formed in leads and polynyas |
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| 121 | !------------------------------------------------------------------------------! |
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[865] | 122 | ! hicol is the thickness of new ice formed in open water |
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[6416] | 123 | ! hicol can be either prescribed (frazswi = 0) or computed (frazswi = 1) |
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[825] | 124 | ! Frazil ice forms in open water, is transported by wind |
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| 125 | ! accumulates at the edge of the consolidated ice edge |
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| 126 | ! where it forms aggregates of a specific thickness called |
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| 127 | ! collection thickness. |
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| 128 | |
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[865] | 129 | ! Note : the following algorithm currently breaks vectorization |
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| 130 | ! |
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| 131 | |
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[7753] | 132 | zvrel(:,:) = 0._wp |
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[825] | 133 | |
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[7753] | 134 | ! Default new ice thickness |
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| 135 | WHERE( qlead(:,:) < 0._wp ) ; hicol(:,:) = rn_hnewice |
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| 136 | ELSEWHERE ; hicol(:,:) = 0._wp |
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| 137 | END WHERE |
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[825] | 138 | |
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[5123] | 139 | IF( ln_frazil ) THEN |
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[825] | 140 | |
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[921] | 141 | !-------------------- |
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| 142 | ! Physical constants |
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| 143 | !-------------------- |
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[7753] | 144 | hicol(:,:) = 0._wp |
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[825] | 145 | |
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[921] | 146 | zhicrit = 0.04 ! frazil ice thickness |
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| 147 | ztwogp = 2. * rau0 / ( grav * 0.3 * ( rau0 - rhoic ) ) ! reduced grav |
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[5123] | 148 | zsqcd = 1.0 / SQRT( 1.3 * zcai ) ! 1/SQRT(airdensity*drag) |
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[921] | 149 | zgamafr = 0.03 |
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[825] | 150 | |
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[7646] | 151 | DO jj = 2, jpjm1 |
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| 152 | DO ji = 2, jpim1 |
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| 153 | IF ( qlead(ji,jj) < 0._wp .AND. tau_icebfr(ji,jj) == 0._wp ) THEN ! activated if cooling and no landfast |
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[921] | 154 | !------------- |
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| 155 | ! Wind stress |
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| 156 | !------------- |
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| 157 | ! C-grid wind stress components |
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[5123] | 158 | ztaux = ( utau_ice(ji-1,jj ) * umask(ji-1,jj ,1) & |
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| 159 | & + utau_ice(ji ,jj ) * umask(ji ,jj ,1) ) * 0.5_wp |
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| 160 | ztauy = ( vtau_ice(ji ,jj-1) * vmask(ji ,jj-1,1) & |
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| 161 | & + vtau_ice(ji ,jj ) * vmask(ji ,jj ,1) ) * 0.5_wp |
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[921] | 162 | ! Square root of wind stress |
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[6416] | 163 | ztenagm = SQRT( SQRT( ztaux * ztaux + ztauy * ztauy ) ) |
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[825] | 164 | |
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[921] | 165 | !--------------------- |
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| 166 | ! Frazil ice velocity |
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| 167 | !--------------------- |
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[4990] | 168 | rswitch = MAX( 0._wp, SIGN( 1._wp , ztenagm - epsi10 ) ) |
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| 169 | zvfrx = rswitch * zgamafr * zsqcd * ztaux / MAX( ztenagm, epsi10 ) |
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| 170 | zvfry = rswitch * zgamafr * zsqcd * ztauy / MAX( ztenagm, epsi10 ) |
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[825] | 171 | |
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[921] | 172 | !------------------- |
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| 173 | ! Pack ice velocity |
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| 174 | !------------------- |
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| 175 | ! C-grid ice velocity |
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[7646] | 176 | zvgx = ( u_ice(ji-1,jj ) * umask(ji-1,jj ,1) + u_ice(ji,jj) * umask(ji,jj,1) ) * 0.5_wp |
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| 177 | zvgy = ( v_ice(ji ,jj-1) * vmask(ji ,jj-1,1) + v_ice(ji,jj) * vmask(ji,jj,1) ) * 0.5_wp |
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[825] | 178 | |
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[921] | 179 | !----------------------------------- |
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| 180 | ! Relative frazil/pack ice velocity |
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| 181 | !----------------------------------- |
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| 182 | ! absolute relative velocity |
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[7646] | 183 | rswitch = MAX( 0._wp, SIGN( 1._wp , at_i(ji,jj) - epsi10 ) ) |
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| 184 | zvrel2 = MAX( ( zvfrx - zvgx ) * ( zvfrx - zvgx ) & |
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| 185 | & + ( zvfry - zvgy ) * ( zvfry - zvgy ) , 0.15 * 0.15 ) * rswitch |
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[6416] | 186 | zvrel(ji,jj) = SQRT( zvrel2 ) |
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[825] | 187 | |
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[921] | 188 | !--------------------- |
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| 189 | ! Iterative procedure |
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| 190 | !--------------------- |
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[6416] | 191 | hicol(ji,jj) = zhicrit + ( zhicrit + 0.1 ) & |
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| 192 | & / ( ( zhicrit + 0.1 ) * ( zhicrit + 0.1 ) - zhicrit * zhicrit ) * ztwogp * zvrel2 |
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[825] | 193 | |
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[921] | 194 | iter = 1 |
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[6416] | 195 | DO WHILE ( iter < 20 ) |
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| 196 | zf = ( hicol(ji,jj) - zhicrit ) * ( hicol(ji,jj) * hicol(ji,jj) - zhicrit * zhicrit ) - & |
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| 197 | & hicol(ji,jj) * zhicrit * ztwogp * zvrel2 |
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| 198 | zfp = ( hicol(ji,jj) - zhicrit ) * ( 3.0 * hicol(ji,jj) + zhicrit ) - zhicrit * ztwogp * zvrel2 |
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[825] | 199 | |
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[7646] | 200 | hicol(ji,jj) = hicol(ji,jj) - zf / MAX( zfp, epsi20 ) |
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[921] | 201 | iter = iter + 1 |
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[6416] | 202 | END DO |
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[825] | 203 | |
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[921] | 204 | ENDIF ! end of selection of pixels where ice forms |
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[825] | 205 | |
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[6416] | 206 | END DO |
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| 207 | END DO |
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| 208 | ! |
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[8373] | 209 | CALL lbc_lnk_multi( zvrel, 'T', 1., hicol, 'T', 1. ) |
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[825] | 210 | |
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| 211 | ENDIF ! End of computation of frazil ice collection thickness |
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| 212 | |
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[921] | 213 | !------------------------------------------------------------------------------! |
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| 214 | ! 4) Identify grid points where new ice forms |
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| 215 | !------------------------------------------------------------------------------! |
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[825] | 216 | |
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| 217 | !------------------------------------- |
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| 218 | ! Select points for new ice formation |
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| 219 | !------------------------------------- |
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[7646] | 220 | ! This occurs if open water energy budget is negative (cooling) and there is no landfast ice |
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[8327] | 221 | nidx = 0 ; idxice(:) = 0 |
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[8332] | 222 | DO jj = 1, jpj |
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| 223 | DO ji = 1, jpi |
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[7646] | 224 | IF ( qlead(ji,jj) < 0._wp .AND. tau_icebfr(ji,jj) == 0._wp ) THEN |
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[8327] | 225 | nidx = nidx + 1 |
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| 226 | idxice( nidx ) = (jj - 1) * jpi + ji |
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[825] | 227 | ENDIF |
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| 228 | END DO |
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| 229 | END DO |
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| 230 | |
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| 231 | !------------------------------ |
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| 232 | ! Move from 2-D to 1-D vectors |
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| 233 | !------------------------------ |
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[6416] | 234 | ! If ocean gains heat do nothing. Otherwise compute new ice formation |
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[825] | 235 | |
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[8327] | 236 | IF ( nidx > 0 ) THEN |
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[825] | 237 | |
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[8342] | 238 | CALL tab_2d_1d( nidx, idxice(1:nidx), zat_i_1d (1:nidx) , at_i ) |
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[921] | 239 | DO jl = 1, jpl |
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[8342] | 240 | CALL tab_2d_1d( nidx, idxice(1:nidx), za_i_1d (1:nidx,jl), a_i (:,:,jl) ) |
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| 241 | CALL tab_2d_1d( nidx, idxice(1:nidx), zv_i_1d (1:nidx,jl), v_i (:,:,jl) ) |
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| 242 | CALL tab_2d_1d( nidx, idxice(1:nidx), zsmv_i_1d(1:nidx,jl), smv_i(:,:,jl) ) |
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[921] | 243 | DO jk = 1, nlay_i |
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[8342] | 244 | CALL tab_2d_1d( nidx, idxice(1:nidx), ze_i_1d(1:nidx,jk,jl), e_i(:,:,jk,jl) ) |
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[5202] | 245 | END DO |
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| 246 | END DO |
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[825] | 247 | |
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[8342] | 248 | CALL tab_2d_1d( nidx, idxice(1:nidx), qlead_1d (1:nidx) , qlead ) |
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| 249 | CALL tab_2d_1d( nidx, idxice(1:nidx), t_bo_1d (1:nidx) , t_bo ) |
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| 250 | CALL tab_2d_1d( nidx, idxice(1:nidx), sfx_opw_1d(1:nidx) , sfx_opw ) |
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| 251 | CALL tab_2d_1d( nidx, idxice(1:nidx), wfx_opw_1d(1:nidx) , wfx_opw ) |
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| 252 | CALL tab_2d_1d( nidx, idxice(1:nidx), hicol_1d (1:nidx) , hicol ) |
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| 253 | CALL tab_2d_1d( nidx, idxice(1:nidx), zvrel_1d (1:nidx) , zvrel ) |
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[834] | 254 | |
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[8342] | 255 | CALL tab_2d_1d( nidx, idxice(1:nidx), hfx_thd_1d(1:nidx) , hfx_thd ) |
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| 256 | CALL tab_2d_1d( nidx, idxice(1:nidx), hfx_opw_1d(1:nidx) , hfx_opw ) |
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| 257 | CALL tab_2d_1d( nidx, idxice(1:nidx), rn_amax_1d(1:nidx) , rn_amax_2d ) |
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| 258 | CALL tab_2d_1d( nidx, idxice(1:nidx), sss_1d (1:nidx) , sss_m ) |
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[4688] | 259 | |
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[8327] | 260 | !------------------------------------------------------------------------------| |
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| 261 | ! 2) Convert units for ice internal energy |
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| 262 | !------------------------------------------------------------------------------| |
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| 263 | DO jl = 1, jpl |
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| 264 | DO jk = 1, nlay_i |
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| 265 | DO ji = 1, nidx |
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| 266 | IF( zv_i_1d(ji,jl) > 0._wp ) ze_i_1d(ji,jk,jl) = ze_i_1d(ji,jk,jl) / zv_i_1d(ji,jl) * REAL( nlay_i ) |
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| 267 | END DO |
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| 268 | END DO |
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| 269 | END DO |
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[921] | 270 | !------------------------------------------------------------------------------! |
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| 271 | ! 5) Compute thickness, salinity, enthalpy, age, area and volume of new ice |
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| 272 | !------------------------------------------------------------------------------! |
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[825] | 273 | |
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[4688] | 274 | !----------------------------------------- |
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| 275 | ! Keep old ice areas and volume in memory |
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| 276 | !----------------------------------------- |
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[8327] | 277 | zv_b(1:nidx,:) = zv_i_1d(1:nidx,:) |
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| 278 | za_b(1:nidx,:) = za_i_1d(1:nidx,:) |
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[6416] | 279 | |
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[921] | 280 | !---------------------- |
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| 281 | ! Thickness of new ice |
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| 282 | !---------------------- |
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[8327] | 283 | zh_newice(1:nidx) = hicol_1d(1:nidx) |
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[825] | 284 | |
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[921] | 285 | !---------------------- |
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| 286 | ! Salinity of new ice |
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| 287 | !---------------------- |
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[5123] | 288 | SELECT CASE ( nn_icesal ) |
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[3625] | 289 | CASE ( 1 ) ! Sice = constant |
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[8327] | 290 | zs_newice(1:nidx) = rn_icesal |
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[3625] | 291 | CASE ( 2 ) ! Sice = F(z,t) [Vancoppenolle et al (2005)] |
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[8327] | 292 | DO ji = 1, nidx |
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| 293 | zs_newice(ji) = MIN( 4.606 + 0.91 / zh_newice(ji) , rn_simax , 0.5 * sss_1d(ji) ) |
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[3625] | 294 | END DO |
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| 295 | CASE ( 3 ) ! Sice = F(z) [multiyear ice] |
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[8327] | 296 | zs_newice(1:nidx) = 2.3 |
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[3625] | 297 | END SELECT |
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[825] | 298 | |
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[921] | 299 | !------------------------- |
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| 300 | ! Heat content of new ice |
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| 301 | !------------------------- |
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| 302 | ! We assume that new ice is formed at the seawater freezing point |
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[8327] | 303 | DO ji = 1, nidx |
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[5123] | 304 | ztmelts = - tmut * zs_newice(ji) + rt0 ! Melting point (K) |
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[6416] | 305 | ze_newice(ji) = rhoic * ( cpic * ( ztmelts - t_bo_1d(ji) ) & |
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[5123] | 306 | & + lfus * ( 1.0 - ( ztmelts - rt0 ) / MIN( t_bo_1d(ji) - rt0, -epsi10 ) ) & |
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| 307 | & - rcp * ( ztmelts - rt0 ) ) |
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| 308 | END DO |
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[4688] | 309 | |
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[921] | 310 | !---------------- |
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| 311 | ! Age of new ice |
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| 312 | !---------------- |
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[8327] | 313 | DO ji = 1, nidx |
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[3625] | 314 | zo_newice(ji) = 0._wp |
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[5202] | 315 | END DO |
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[825] | 316 | |
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[921] | 317 | !------------------- |
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| 318 | ! Volume of new ice |
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| 319 | !------------------- |
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[8327] | 320 | DO ji = 1, nidx |
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[825] | 321 | |
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[5123] | 322 | zEi = - ze_newice(ji) * r1_rhoic ! specific enthalpy of forming ice [J/kg] |
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[4688] | 323 | |
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[5123] | 324 | zEw = rcp * ( t_bo_1d(ji) - rt0 ) ! specific enthalpy of seawater at t_bo_1d [J/kg] |
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[4688] | 325 | ! clem: we suppose we are already at the freezing point (condition qlead<0 is satisfyied) |
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| 326 | |
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| 327 | zdE = zEi - zEw ! specific enthalpy difference [J/kg] |
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| 328 | |
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| 329 | zfmdt = - qlead_1d(ji) / zdE ! Fm.dt [kg/m2] (<0) |
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| 330 | ! clem: we use qlead instead of zqld (limthd) because we suppose we are at the freezing point |
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[5123] | 331 | zv_newice(ji) = - zfmdt * r1_rhoic |
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[4688] | 332 | |
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| 333 | zQm = zfmdt * zEw ! heat to the ocean >0 associated with mass flux |
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| 334 | |
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| 335 | ! Contribution to heat flux to the ocean [W.m-2], >0 |
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| 336 | hfx_thd_1d(ji) = hfx_thd_1d(ji) + zfmdt * zEw * r1_rdtice |
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| 337 | ! Total heat flux used in this process [W.m-2] |
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| 338 | hfx_opw_1d(ji) = hfx_opw_1d(ji) - zfmdt * zdE * r1_rdtice |
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| 339 | ! mass flux |
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| 340 | wfx_opw_1d(ji) = wfx_opw_1d(ji) - zv_newice(ji) * rhoic * r1_rdtice |
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| 341 | ! salt flux |
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| 342 | sfx_opw_1d(ji) = sfx_opw_1d(ji) - zv_newice(ji) * rhoic * zs_newice(ji) * r1_rdtice |
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[6416] | 343 | END DO |
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| 344 | |
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| 345 | zv_frazb(:) = 0._wp |
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| 346 | IF( ln_frazil ) THEN |
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[921] | 347 | ! A fraction zfrazb of frazil ice is accreted at the ice bottom |
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[8327] | 348 | DO ji = 1, nidx |
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[6416] | 349 | rswitch = 1._wp - MAX( 0._wp, SIGN( 1._wp , - zat_i_1d(ji) ) ) |
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| 350 | zfrazb = rswitch * ( TANH( rn_Cfrazb * ( zvrel_1d(ji) - rn_vfrazb ) ) + 1.0 ) * 0.5 * rn_maxfrazb |
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| 351 | zv_frazb(ji) = zfrazb * zv_newice(ji) |
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| 352 | zv_newice(ji) = ( 1.0 - zfrazb ) * zv_newice(ji) |
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| 353 | END DO |
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| 354 | END IF |
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| 355 | |
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[921] | 356 | !----------------- |
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| 357 | ! Area of new ice |
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| 358 | !----------------- |
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[8327] | 359 | DO ji = 1, nidx |
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[3625] | 360 | za_newice(ji) = zv_newice(ji) / zh_newice(ji) |
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[4688] | 361 | END DO |
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[825] | 362 | |
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[921] | 363 | !------------------------------------------------------------------------------! |
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| 364 | ! 6) Redistribute new ice area and volume into ice categories ! |
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| 365 | !------------------------------------------------------------------------------! |
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[825] | 366 | |
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[4688] | 367 | !------------------------ |
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| 368 | ! 6.1) lateral ice growth |
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| 369 | !------------------------ |
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[921] | 370 | ! If lateral ice growth gives an ice concentration gt 1, then |
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[3625] | 371 | ! we keep the excessive volume in memory and attribute it later to bottom accretion |
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[8327] | 372 | DO ji = 1, nidx |
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[6403] | 373 | IF ( za_newice(ji) > ( rn_amax_1d(ji) - zat_i_1d(ji) ) ) THEN |
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| 374 | zda_res(ji) = za_newice(ji) - ( rn_amax_1d(ji) - zat_i_1d(ji) ) |
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[3625] | 375 | zdv_res(ji) = zda_res (ji) * zh_newice(ji) |
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| 376 | za_newice(ji) = za_newice(ji) - zda_res (ji) |
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| 377 | zv_newice(ji) = zv_newice(ji) - zdv_res (ji) |
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[921] | 378 | ELSE |
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[3625] | 379 | zda_res(ji) = 0._wp |
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| 380 | zdv_res(ji) = 0._wp |
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[921] | 381 | ENDIF |
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[4688] | 382 | END DO |
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[825] | 383 | |
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[4688] | 384 | ! find which category to fill |
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| 385 | zat_i_1d(:) = 0._wp |
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[921] | 386 | DO jl = 1, jpl |
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[8327] | 387 | DO ji = 1, nidx |
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[4688] | 388 | IF( zh_newice(ji) > hi_max(jl-1) .AND. zh_newice(ji) <= hi_max(jl) ) THEN |
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| 389 | za_i_1d (ji,jl) = za_i_1d (ji,jl) + za_newice(ji) |
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| 390 | zv_i_1d (ji,jl) = zv_i_1d (ji,jl) + zv_newice(ji) |
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| 391 | jcat (ji) = jl |
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[921] | 392 | ENDIF |
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[4688] | 393 | zat_i_1d(ji) = zat_i_1d(ji) + za_i_1d (ji,jl) |
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[3625] | 394 | END DO |
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| 395 | END DO |
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[825] | 396 | |
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[4688] | 397 | ! Heat content |
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[8327] | 398 | DO ji = 1, nidx |
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[4688] | 399 | jl = jcat(ji) ! categroy in which new ice is put |
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[4872] | 400 | zswinew (ji) = MAX( 0._wp , SIGN( 1._wp , - za_b(ji,jl) ) ) ! 0 if old ice |
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[921] | 401 | END DO |
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[825] | 402 | |
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[921] | 403 | DO jk = 1, nlay_i |
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[8327] | 404 | DO ji = 1, nidx |
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[4688] | 405 | jl = jcat(ji) |
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[4990] | 406 | rswitch = MAX( 0._wp, SIGN( 1._wp , zv_i_1d(ji,jl) - epsi20 ) ) |
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[6416] | 407 | ze_i_1d(ji,jk,jl) = zswinew(ji) * ze_newice(ji) + & |
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[4872] | 408 | & ( 1.0 - zswinew(ji) ) * ( ze_newice(ji) * zv_newice(ji) + ze_i_1d(ji,jk,jl) * zv_b(ji,jl) ) & |
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[4990] | 409 | & * rswitch / MAX( zv_i_1d(ji,jl), epsi20 ) |
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[2715] | 410 | END DO |
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| 411 | END DO |
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[825] | 412 | |
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[4688] | 413 | !------------------------------------------------ |
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| 414 | ! 6.2) bottom ice growth + ice enthalpy remapping |
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| 415 | !------------------------------------------------ |
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| 416 | DO jl = 1, jpl |
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[825] | 417 | |
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[4688] | 418 | ! for remapping |
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[8327] | 419 | h_i_old (1:nidx,0:nlay_i+1) = 0._wp |
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| 420 | eh_i_old(1:nidx,0:nlay_i+1) = 0._wp |
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[921] | 421 | DO jk = 1, nlay_i |
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[8327] | 422 | DO ji = 1, nidx |
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[5123] | 423 | h_i_old (ji,jk) = zv_i_1d(ji,jl) * r1_nlay_i |
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[8325] | 424 | eh_i_old(ji,jk) = ze_i_1d(ji,jk,jl) * h_i_old(ji,jk) |
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[2715] | 425 | END DO |
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| 426 | END DO |
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[4688] | 427 | |
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| 428 | ! new volumes including lateral/bottom accretion + residual |
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[8327] | 429 | DO ji = 1, nidx |
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[4990] | 430 | rswitch = MAX( 0._wp, SIGN( 1._wp , zat_i_1d(ji) - epsi20 ) ) |
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| 431 | zv_newfra = rswitch * ( zdv_res(ji) + zv_frazb(ji) ) * za_i_1d(ji,jl) / MAX( zat_i_1d(ji) , epsi20 ) |
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| 432 | za_i_1d(ji,jl) = rswitch * za_i_1d(ji,jl) |
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[4688] | 433 | zv_i_1d(ji,jl) = zv_i_1d(ji,jl) + zv_newfra |
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| 434 | ! for remapping |
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| 435 | h_i_old (ji,nlay_i+1) = zv_newfra |
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[8325] | 436 | eh_i_old(ji,nlay_i+1) = ze_newice(ji) * zv_newfra |
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[4688] | 437 | ENDDO |
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| 438 | ! --- Ice enthalpy remapping --- ! |
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[8342] | 439 | CALL lim_thd_ent( ze_i_1d(1:nidx,:,jl) ) |
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[4688] | 440 | ENDDO |
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| 441 | |
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[921] | 442 | !----------------- |
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| 443 | ! Update salinity |
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| 444 | !----------------- |
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[4161] | 445 | DO jl = 1, jpl |
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[8327] | 446 | DO ji = 1, nidx |
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[4872] | 447 | zdv = zv_i_1d(ji,jl) - zv_b(ji,jl) |
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[4688] | 448 | zsmv_i_1d(ji,jl) = zsmv_i_1d(ji,jl) + zdv * zs_newice(ji) |
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| 449 | END DO |
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[4161] | 450 | END DO |
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| 451 | |
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[921] | 452 | !------------------------------------------------------------------------------! |
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[8327] | 453 | ! 8) Change units for e_i |
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| 454 | !------------------------------------------------------------------------------! |
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| 455 | DO jl = 1, jpl |
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| 456 | DO jk = 1, nlay_i |
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| 457 | DO ji = 1, nidx |
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| 458 | ze_i_1d(ji,jk,jl) = ze_i_1d(ji,jk,jl) * zv_i_1d(ji,jl) * r1_nlay_i |
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| 459 | END DO |
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| 460 | END DO |
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| 461 | END DO |
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| 462 | !------------------------------------------------------------------------------! |
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[4688] | 463 | ! 7) Change 2D vectors to 1D vectors |
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[921] | 464 | !------------------------------------------------------------------------------! |
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| 465 | DO jl = 1, jpl |
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[8342] | 466 | CALL tab_1d_2d( nidx, idxice(1:nidx), za_i_1d (1:nidx,jl), a_i (:,:,jl) ) |
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| 467 | CALL tab_1d_2d( nidx, idxice(1:nidx), zv_i_1d (1:nidx,jl), v_i (:,:,jl) ) |
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| 468 | CALL tab_1d_2d( nidx, idxice(1:nidx), zsmv_i_1d(1:nidx,jl), smv_i (:,:,jl) ) |
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[921] | 469 | DO jk = 1, nlay_i |
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[8342] | 470 | CALL tab_1d_2d( nidx, idxice(1:nidx), ze_i_1d(1:nidx,jk,jl), e_i(:,:,jk,jl) ) |
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[2715] | 471 | END DO |
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| 472 | END DO |
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[8342] | 473 | CALL tab_1d_2d( nidx, idxice(1:nidx), sfx_opw_1d(1:nidx), sfx_opw ) |
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| 474 | CALL tab_1d_2d( nidx, idxice(1:nidx), wfx_opw_1d(1:nidx), wfx_opw ) |
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| 475 | CALL tab_1d_2d( nidx, idxice(1:nidx), hfx_thd_1d(1:nidx), hfx_thd ) |
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| 476 | CALL tab_1d_2d( nidx, idxice(1:nidx), hfx_opw_1d(1:nidx), hfx_opw ) |
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[2715] | 477 | ! |
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[8327] | 478 | ENDIF ! nidx > 0 |
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[2715] | 479 | ! |
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[8411] | 480 | IF( ln_limdiachk ) CALL ice_cons_hsm(1, 'limthd_lac', zvi_b, zsmv_b, zei_b, zfw_b, zfs_b, zft_b) |
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[8379] | 481 | ! |
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[825] | 482 | END SUBROUTINE lim_thd_lac |
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| 483 | |
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| 484 | #else |
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[2715] | 485 | !!---------------------------------------------------------------------- |
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| 486 | !! Default option NO LIM3 sea-ice model |
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| 487 | !!---------------------------------------------------------------------- |
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[825] | 488 | CONTAINS |
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| 489 | SUBROUTINE lim_thd_lac ! Empty routine |
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| 490 | END SUBROUTINE lim_thd_lac |
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| 491 | #endif |
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[2715] | 492 | |
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| 493 | !!====================================================================== |
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[825] | 494 | END MODULE limthd_lac |
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