[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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| 20 | USE sbc_oce ! Surface boundary condition: ocean fields |
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| 21 | USE sbc_ice ! Surface boundary condition: ice fields |
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| 22 | USE thd_ice ! LIM thermodynamics |
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| 23 | USE dom_ice ! LIM domain |
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| 24 | USE ice ! LIM variables |
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| 25 | USE limtab ! LIM 2D <==> 1D |
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| 26 | USE limcons ! LIM conservation |
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| 27 | USE in_out_manager ! I/O manager |
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| 28 | USE lib_mpp ! MPP library |
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| 29 | USE wrk_nemo ! work arrays |
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[4833] | 30 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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[3625] | 31 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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[4688] | 32 | USE limthd_ent |
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[5167] | 33 | USE limvar |
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[921] | 34 | |
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[825] | 35 | IMPLICIT NONE |
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| 36 | PRIVATE |
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| 37 | |
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| 38 | PUBLIC lim_thd_lac ! called by lim_thd |
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| 39 | |
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| 40 | !!---------------------------------------------------------------------- |
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[4161] | 41 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
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[1156] | 42 | !! $Id$ |
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[2715] | 43 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[825] | 44 | !!---------------------------------------------------------------------- |
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| 45 | CONTAINS |
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[921] | 46 | |
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[825] | 47 | SUBROUTINE lim_thd_lac |
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| 48 | !!------------------------------------------------------------------- |
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| 49 | !! *** ROUTINE lim_thd_lac *** |
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| 50 | !! |
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| 51 | !! ** Purpose : Computation of the evolution of the ice thickness and |
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| 52 | !! concentration as a function of the heat balance in the leads. |
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| 53 | !! It is only used for lateral accretion |
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| 54 | !! |
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| 55 | !! ** Method : Ice is formed in the open water when ocean lose heat |
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| 56 | !! (heat budget of open water Bl is negative) . |
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| 57 | !! Computation of the increase of 1-A (ice concentration) fol- |
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| 58 | !! lowing the law : |
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| 59 | !! (dA/dt)acc = F[ (1-A)/(1-a) ] * [ Bl / (Li*h0) ] |
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| 60 | !! where - h0 is the thickness of ice created in the lead |
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| 61 | !! - a is a minimum fraction for leads |
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| 62 | !! - F is a monotonic non-increasing function defined as: |
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| 63 | !! F(X)=( 1 - X**exld )**(1.0/exld) |
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| 64 | !! - exld is the exponent closure rate (=2 default val.) |
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| 65 | !! |
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| 66 | !! ** Action : - Adjustment of snow and ice thicknesses and heat |
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| 67 | !! content in brine pockets |
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| 68 | !! - Updating ice internal temperature |
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| 69 | !! - Computation of variation of ice volume and mass |
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| 70 | !! - Computation of frldb after lateral accretion and |
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[4872] | 71 | !! update ht_s_1d, ht_i_1d and tbif_1d(:,:) |
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[825] | 72 | !!------------------------------------------------------------------------ |
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[4869] | 73 | INTEGER :: ji,jj,jk,jl ! dummy loop indices |
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[4870] | 74 | INTEGER :: nbpac ! local integers |
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[4869] | 75 | INTEGER :: ii, ij, iter ! - - |
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[4990] | 76 | REAL(wp) :: ztmelts, zdv, zfrazb, zweight, zde ! local scalars |
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[2715] | 77 | REAL(wp) :: zgamafr, zvfrx, zvgx, ztaux, ztwogp, zf , zhicol_new ! - - |
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| 78 | REAL(wp) :: ztenagm, zvfry, zvgy, ztauy, zvrel2, zfp, zsqcd , zhicrit ! - - |
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| 79 | LOGICAL :: iterate_frazil ! iterate frazil ice collection thickness |
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| 80 | CHARACTER (len = 15) :: fieldid |
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[4688] | 81 | |
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| 82 | REAL(wp) :: zQm ! enthalpy exchanged with the ocean (J/m2, >0 towards ocean) |
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| 83 | REAL(wp) :: zEi ! sea ice specific enthalpy (J/kg) |
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| 84 | REAL(wp) :: zEw ! seawater specific enthalpy (J/kg) |
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| 85 | REAL(wp) :: zfmdt ! mass flux x time step (kg/m2, >0 towards ocean) |
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| 86 | |
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| 87 | REAL(wp) :: zv_newfra |
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| 88 | |
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[4872] | 89 | INTEGER , POINTER, DIMENSION(:) :: jcat ! indexes of categories where new ice grows |
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[3294] | 90 | REAL(wp), POINTER, DIMENSION(:) :: zswinew ! switch for new ice or not |
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[825] | 91 | |
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[3294] | 92 | REAL(wp), POINTER, DIMENSION(:) :: zv_newice ! volume of accreted ice |
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| 93 | REAL(wp), POINTER, DIMENSION(:) :: za_newice ! fractional area of accreted ice |
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| 94 | REAL(wp), POINTER, DIMENSION(:) :: zh_newice ! thickness of accreted ice |
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| 95 | REAL(wp), POINTER, DIMENSION(:) :: ze_newice ! heat content of accreted ice |
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| 96 | REAL(wp), POINTER, DIMENSION(:) :: zs_newice ! salinity of accreted ice |
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| 97 | REAL(wp), POINTER, DIMENSION(:) :: zo_newice ! age of accreted ice |
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| 98 | REAL(wp), POINTER, DIMENSION(:) :: zdv_res ! residual volume in case of excessive heat budget |
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| 99 | REAL(wp), POINTER, DIMENSION(:) :: zda_res ! residual area in case of excessive heat budget |
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[4688] | 100 | REAL(wp), POINTER, DIMENSION(:) :: zat_i_1d ! total ice fraction |
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[4872] | 101 | REAL(wp), POINTER, DIMENSION(:) :: zv_frazb ! accretion of frazil ice at the ice bottom |
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[4688] | 102 | REAL(wp), POINTER, DIMENSION(:) :: zvrel_1d ! relative ice / frazil velocity (1D vector) |
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[825] | 103 | |
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[4872] | 104 | REAL(wp), POINTER, DIMENSION(:,:) :: zv_b ! old volume of ice in category jl |
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| 105 | REAL(wp), POINTER, DIMENSION(:,:) :: za_b ! old area of ice in category jl |
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| 106 | REAL(wp), POINTER, DIMENSION(:,:) :: za_i_1d ! 1-D version of a_i |
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| 107 | REAL(wp), POINTER, DIMENSION(:,:) :: zv_i_1d ! 1-D version of v_i |
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| 108 | REAL(wp), POINTER, DIMENSION(:,:) :: zsmv_i_1d ! 1-D version of smv_i |
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[825] | 109 | |
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[4990] | 110 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ze_i_1d !: 1-D version of e_i |
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[825] | 111 | |
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[3294] | 112 | REAL(wp), POINTER, DIMENSION(:,:) :: zvrel ! relative ice / frazil velocity |
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[5123] | 113 | |
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| 114 | REAL(wp) :: zcai = 1.4e-3_wp |
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[3294] | 115 | !!-----------------------------------------------------------------------! |
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[825] | 116 | |
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[4688] | 117 | CALL wrk_alloc( jpij, jcat ) ! integer |
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[3294] | 118 | CALL wrk_alloc( jpij, zswinew, zv_newice, za_newice, zh_newice, ze_newice, zs_newice, zo_newice ) |
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[4869] | 119 | CALL wrk_alloc( jpij, zdv_res, zda_res, zat_i_1d, zv_frazb, zvrel_1d ) |
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[5202] | 120 | CALL wrk_alloc( jpij,jpl, zv_b, za_b, za_i_1d, zv_i_1d, zsmv_i_1d ) |
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[5182] | 121 | CALL wrk_alloc( jpij,nlay_i,jpl, ze_i_1d ) |
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[4688] | 122 | CALL wrk_alloc( jpi,jpj, zvrel ) |
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[3294] | 123 | |
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[5167] | 124 | CALL lim_var_agg(1) |
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| 125 | CALL lim_var_glo2eqv |
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[921] | 126 | !------------------------------------------------------------------------------| |
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| 127 | ! 2) Convert units for ice internal energy |
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| 128 | !------------------------------------------------------------------------------| |
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[825] | 129 | DO jl = 1, jpl |
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[921] | 130 | DO jk = 1, nlay_i |
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| 131 | DO jj = 1, jpj |
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| 132 | DO ji = 1, jpi |
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| 133 | !Energy of melting q(S,T) [J.m-3] |
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[5134] | 134 | rswitch = MAX( 0._wp , SIGN( 1._wp , v_i(ji,jj,jl) - epsi20 ) ) !0 if no ice |
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[5123] | 135 | e_i(ji,jj,jk,jl) = rswitch * e_i(ji,jj,jk,jl) / MAX( v_i(ji,jj,jl), epsi20 ) * REAL( nlay_i, wp ) |
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[921] | 136 | END DO |
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[825] | 137 | END DO |
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[921] | 138 | END DO |
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[825] | 139 | END DO |
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| 140 | |
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[921] | 141 | !------------------------------------------------------------------------------! |
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| 142 | ! 3) Collection thickness of ice formed in leads and polynyas |
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| 143 | !------------------------------------------------------------------------------! |
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[865] | 144 | ! hicol is the thickness of new ice formed in open water |
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| 145 | ! hicol can be either prescribed (frazswi = 0) |
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| 146 | ! or computed (frazswi = 1) |
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[825] | 147 | ! Frazil ice forms in open water, is transported by wind |
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| 148 | ! accumulates at the edge of the consolidated ice edge |
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| 149 | ! where it forms aggregates of a specific thickness called |
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| 150 | ! collection thickness. |
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| 151 | |
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[865] | 152 | ! Note : the following algorithm currently breaks vectorization |
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| 153 | ! |
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| 154 | |
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[3625] | 155 | zvrel(:,:) = 0._wp |
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[825] | 156 | |
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| 157 | ! Default new ice thickness |
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[5123] | 158 | hicol(:,:) = rn_hnewice |
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[825] | 159 | |
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[5123] | 160 | IF( ln_frazil ) THEN |
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[825] | 161 | |
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[921] | 162 | !-------------------- |
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| 163 | ! Physical constants |
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| 164 | !-------------------- |
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[3625] | 165 | hicol(:,:) = 0._wp |
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[825] | 166 | |
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[921] | 167 | zhicrit = 0.04 ! frazil ice thickness |
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| 168 | ztwogp = 2. * rau0 / ( grav * 0.3 * ( rau0 - rhoic ) ) ! reduced grav |
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[5123] | 169 | zsqcd = 1.0 / SQRT( 1.3 * zcai ) ! 1/SQRT(airdensity*drag) |
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[921] | 170 | zgamafr = 0.03 |
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[825] | 171 | |
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[4833] | 172 | DO jj = 2, jpj |
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| 173 | DO ji = 2, jpi |
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[4688] | 174 | IF ( qlead(ji,jj) < 0._wp ) THEN |
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[921] | 175 | !------------- |
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| 176 | ! Wind stress |
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| 177 | !------------- |
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| 178 | ! C-grid wind stress components |
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[5123] | 179 | ztaux = ( utau_ice(ji-1,jj ) * umask(ji-1,jj ,1) & |
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| 180 | & + utau_ice(ji ,jj ) * umask(ji ,jj ,1) ) * 0.5_wp |
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| 181 | ztauy = ( vtau_ice(ji ,jj-1) * vmask(ji ,jj-1,1) & |
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| 182 | & + vtau_ice(ji ,jj ) * vmask(ji ,jj ,1) ) * 0.5_wp |
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[921] | 183 | ! Square root of wind stress |
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[4688] | 184 | ztenagm = SQRT( SQRT( ztaux**2 + ztauy**2 ) ) |
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[825] | 185 | |
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[921] | 186 | !--------------------- |
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| 187 | ! Frazil ice velocity |
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| 188 | !--------------------- |
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[4990] | 189 | rswitch = MAX( 0._wp, SIGN( 1._wp , ztenagm - epsi10 ) ) |
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| 190 | zvfrx = rswitch * zgamafr * zsqcd * ztaux / MAX( ztenagm, epsi10 ) |
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| 191 | zvfry = rswitch * zgamafr * zsqcd * ztauy / MAX( ztenagm, epsi10 ) |
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[825] | 192 | |
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[921] | 193 | !------------------- |
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| 194 | ! Pack ice velocity |
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| 195 | !------------------- |
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| 196 | ! C-grid ice velocity |
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[4990] | 197 | rswitch = MAX( 0._wp, SIGN( 1._wp , at_i(ji,jj) ) ) |
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[5123] | 198 | zvgx = rswitch * ( 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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| 199 | zvgy = rswitch * ( 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] | 200 | |
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[921] | 201 | !----------------------------------- |
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| 202 | ! Relative frazil/pack ice velocity |
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| 203 | !----------------------------------- |
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| 204 | ! absolute relative velocity |
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[3625] | 205 | zvrel2 = MAX( ( zvfrx - zvgx ) * ( zvfrx - zvgx ) & |
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| 206 | & + ( zvfry - zvgy ) * ( zvfry - zvgy ) , 0.15 * 0.15 ) |
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| 207 | zvrel(ji,jj) = SQRT( zvrel2 ) |
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[825] | 208 | |
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[921] | 209 | !--------------------- |
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| 210 | ! Iterative procedure |
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| 211 | !--------------------- |
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| 212 | hicol(ji,jj) = zhicrit + 0.1 |
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[3625] | 213 | hicol(ji,jj) = zhicrit + hicol(ji,jj) & |
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| 214 | & / ( hicol(ji,jj) * hicol(ji,jj) - zhicrit * zhicrit ) * ztwogp * zvrel2 |
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[825] | 215 | |
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[3625] | 216 | !!gm better coding: above: hicol(ji,jj) * hicol(ji,jj) = (zhicrit + 0.1)*(zhicrit + 0.1) |
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| 217 | !!gm = zhicrit**2 + 0.2*zhicrit +0.01 |
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| 218 | !!gm therefore the 2 lines with hicol can be replaced by 1 line: |
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| 219 | !!gm hicol(ji,jj) = zhicrit + (zhicrit + 0.1) / ( 0.2 * zhicrit + 0.01 ) * ztwogp * zvrel2 |
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| 220 | !!gm further more (zhicrit + 0.1)/(0.2 * zhicrit + 0.01 )*ztwogp can be computed one for all outside the DO loop |
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| 221 | |
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[921] | 222 | iter = 1 |
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| 223 | iterate_frazil = .true. |
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[825] | 224 | |
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[5123] | 225 | DO WHILE ( iter < 100 .AND. iterate_frazil ) |
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[921] | 226 | zf = ( hicol(ji,jj) - zhicrit ) * ( hicol(ji,jj)**2 - zhicrit**2 ) & |
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| 227 | - hicol(ji,jj) * zhicrit * ztwogp * zvrel2 |
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| 228 | zfp = ( hicol(ji,jj) - zhicrit ) * ( 3.0*hicol(ji,jj) + zhicrit ) & |
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| 229 | - zhicrit * ztwogp * zvrel2 |
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| 230 | zhicol_new = hicol(ji,jj) - zf/zfp |
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| 231 | hicol(ji,jj) = zhicol_new |
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[825] | 232 | |
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[921] | 233 | iter = iter + 1 |
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[825] | 234 | |
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[921] | 235 | END DO ! do while |
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[825] | 236 | |
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[921] | 237 | ENDIF ! end of selection of pixels where ice forms |
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[825] | 238 | |
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[921] | 239 | END DO ! loop on ji ends |
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| 240 | END DO ! loop on jj ends |
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[4833] | 241 | ! |
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| 242 | CALL lbc_lnk( zvrel(:,:), 'T', 1. ) |
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| 243 | CALL lbc_lnk( hicol(:,:), 'T', 1. ) |
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[825] | 244 | |
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| 245 | ENDIF ! End of computation of frazil ice collection thickness |
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| 246 | |
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[921] | 247 | !------------------------------------------------------------------------------! |
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| 248 | ! 4) Identify grid points where new ice forms |
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| 249 | !------------------------------------------------------------------------------! |
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[825] | 250 | |
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| 251 | !------------------------------------- |
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| 252 | ! Select points for new ice formation |
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| 253 | !------------------------------------- |
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| 254 | ! This occurs if open water energy budget is negative |
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| 255 | nbpac = 0 |
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[4833] | 256 | npac(:) = 0 |
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| 257 | ! |
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[825] | 258 | DO jj = 1, jpj |
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| 259 | DO ji = 1, jpi |
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[4688] | 260 | IF ( qlead(ji,jj) < 0._wp ) THEN |
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[825] | 261 | nbpac = nbpac + 1 |
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| 262 | npac( nbpac ) = (jj - 1) * jpi + ji |
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| 263 | ENDIF |
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| 264 | END DO |
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| 265 | END DO |
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| 266 | |
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[4333] | 267 | ! debug point to follow |
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| 268 | jiindex_1d = 0 |
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[5128] | 269 | IF( ln_icectl ) THEN |
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| 270 | DO ji = mi0(iiceprt), mi1(iiceprt) |
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| 271 | DO jj = mj0(jiceprt), mj1(jiceprt) |
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[4688] | 272 | IF ( qlead(ji,jj) < 0._wp ) THEN |
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[4333] | 273 | jiindex_1d = (jj - 1) * jpi + ji |
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| 274 | ENDIF |
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| 275 | END DO |
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| 276 | END DO |
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| 277 | ENDIF |
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| 278 | |
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[5128] | 279 | IF( ln_icectl ) WRITE(numout,*) 'lim_thd_lac : nbpac = ', nbpac |
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[825] | 280 | |
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| 281 | !------------------------------ |
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| 282 | ! Move from 2-D to 1-D vectors |
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| 283 | !------------------------------ |
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| 284 | ! If ocean gains heat do nothing |
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| 285 | ! 0therwise compute new ice formation |
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| 286 | |
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| 287 | IF ( nbpac > 0 ) THEN |
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| 288 | |
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[4688] | 289 | CALL tab_2d_1d( nbpac, zat_i_1d (1:nbpac) , at_i , jpi, jpj, npac(1:nbpac) ) |
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[921] | 290 | DO jl = 1, jpl |
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[4688] | 291 | CALL tab_2d_1d( nbpac, za_i_1d (1:nbpac,jl), a_i (:,:,jl), jpi, jpj, npac(1:nbpac) ) |
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| 292 | CALL tab_2d_1d( nbpac, zv_i_1d (1:nbpac,jl), v_i (:,:,jl), jpi, jpj, npac(1:nbpac) ) |
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| 293 | CALL tab_2d_1d( nbpac, zsmv_i_1d(1:nbpac,jl), smv_i(:,:,jl), jpi, jpj, npac(1:nbpac) ) |
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[921] | 294 | DO jk = 1, nlay_i |
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[4688] | 295 | CALL tab_2d_1d( nbpac, ze_i_1d(1:nbpac,jk,jl), e_i(:,:,jk,jl) , jpi, jpj, npac(1:nbpac) ) |
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[5202] | 296 | END DO |
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| 297 | END DO |
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[825] | 298 | |
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[4688] | 299 | CALL tab_2d_1d( nbpac, qlead_1d (1:nbpac) , qlead , jpi, jpj, npac(1:nbpac) ) |
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[4872] | 300 | CALL tab_2d_1d( nbpac, t_bo_1d (1:nbpac) , t_bo , jpi, jpj, npac(1:nbpac) ) |
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[4688] | 301 | CALL tab_2d_1d( nbpac, sfx_opw_1d(1:nbpac) , sfx_opw, jpi, jpj, npac(1:nbpac) ) |
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| 302 | CALL tab_2d_1d( nbpac, wfx_opw_1d(1:nbpac) , wfx_opw, jpi, jpj, npac(1:nbpac) ) |
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[4872] | 303 | CALL tab_2d_1d( nbpac, hicol_1d (1:nbpac) , hicol , jpi, jpj, npac(1:nbpac) ) |
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[4688] | 304 | CALL tab_2d_1d( nbpac, zvrel_1d (1:nbpac) , zvrel , jpi, jpj, npac(1:nbpac) ) |
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[834] | 305 | |
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[4688] | 306 | CALL tab_2d_1d( nbpac, hfx_thd_1d(1:nbpac) , hfx_thd, jpi, jpj, npac(1:nbpac) ) |
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| 307 | CALL tab_2d_1d( nbpac, hfx_opw_1d(1:nbpac) , hfx_opw, jpi, jpj, npac(1:nbpac) ) |
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| 308 | |
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[921] | 309 | !------------------------------------------------------------------------------! |
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| 310 | ! 5) Compute thickness, salinity, enthalpy, age, area and volume of new ice |
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| 311 | !------------------------------------------------------------------------------! |
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[825] | 312 | |
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[4688] | 313 | !----------------------------------------- |
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| 314 | ! Keep old ice areas and volume in memory |
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| 315 | !----------------------------------------- |
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[4872] | 316 | zv_b(1:nbpac,:) = zv_i_1d(1:nbpac,:) |
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| 317 | za_b(1:nbpac,:) = za_i_1d(1:nbpac,:) |
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[921] | 318 | !---------------------- |
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| 319 | ! Thickness of new ice |
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| 320 | !---------------------- |
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| 321 | DO ji = 1, nbpac |
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[5123] | 322 | zh_newice(ji) = rn_hnewice |
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[921] | 323 | END DO |
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[5123] | 324 | IF( ln_frazil ) zh_newice(1:nbpac) = hicol_1d(1:nbpac) |
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[825] | 325 | |
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[921] | 326 | !---------------------- |
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| 327 | ! Salinity of new ice |
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| 328 | !---------------------- |
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[5123] | 329 | SELECT CASE ( nn_icesal ) |
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[3625] | 330 | CASE ( 1 ) ! Sice = constant |
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[5123] | 331 | zs_newice(1:nbpac) = rn_icesal |
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[3625] | 332 | CASE ( 2 ) ! Sice = F(z,t) [Vancoppenolle et al (2005)] |
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[921] | 333 | DO ji = 1, nbpac |
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[4161] | 334 | ii = MOD( npac(ji) - 1 , jpi ) + 1 |
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| 335 | ij = ( npac(ji) - 1 ) / jpi + 1 |
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[5123] | 336 | zs_newice(ji) = MIN( 4.606 + 0.91 / zh_newice(ji) , rn_simax , 0.5 * sss_m(ii,ij) ) |
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[3625] | 337 | END DO |
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| 338 | CASE ( 3 ) ! Sice = F(z) [multiyear ice] |
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[4833] | 339 | zs_newice(1:nbpac) = 2.3 |
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[3625] | 340 | END SELECT |
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[825] | 341 | |
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[921] | 342 | !------------------------- |
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| 343 | ! Heat content of new ice |
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| 344 | !------------------------- |
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| 345 | ! We assume that new ice is formed at the seawater freezing point |
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| 346 | DO ji = 1, nbpac |
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[5123] | 347 | ztmelts = - tmut * zs_newice(ji) + rt0 ! Melting point (K) |
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[4872] | 348 | ze_newice(ji) = rhoic * ( cpic * ( ztmelts - t_bo_1d(ji) ) & |
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[5123] | 349 | & + lfus * ( 1.0 - ( ztmelts - rt0 ) / MIN( t_bo_1d(ji) - rt0, -epsi10 ) ) & |
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| 350 | & - rcp * ( ztmelts - rt0 ) ) |
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| 351 | END DO |
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[4688] | 352 | |
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[921] | 353 | !---------------- |
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| 354 | ! Age of new ice |
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| 355 | !---------------- |
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| 356 | DO ji = 1, nbpac |
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[3625] | 357 | zo_newice(ji) = 0._wp |
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[5202] | 358 | END DO |
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[825] | 359 | |
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[921] | 360 | !------------------- |
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| 361 | ! Volume of new ice |
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| 362 | !------------------- |
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| 363 | DO ji = 1, nbpac |
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[825] | 364 | |
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[5123] | 365 | zEi = - ze_newice(ji) * r1_rhoic ! specific enthalpy of forming ice [J/kg] |
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[4688] | 366 | |
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[5123] | 367 | zEw = rcp * ( t_bo_1d(ji) - rt0 ) ! specific enthalpy of seawater at t_bo_1d [J/kg] |
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[4688] | 368 | ! clem: we suppose we are already at the freezing point (condition qlead<0 is satisfyied) |
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| 369 | |
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| 370 | zdE = zEi - zEw ! specific enthalpy difference [J/kg] |
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| 371 | |
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| 372 | zfmdt = - qlead_1d(ji) / zdE ! Fm.dt [kg/m2] (<0) |
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| 373 | ! clem: we use qlead instead of zqld (limthd) because we suppose we are at the freezing point |
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[5123] | 374 | zv_newice(ji) = - zfmdt * r1_rhoic |
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[4688] | 375 | |
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| 376 | zQm = zfmdt * zEw ! heat to the ocean >0 associated with mass flux |
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| 377 | |
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| 378 | ! Contribution to heat flux to the ocean [W.m-2], >0 |
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| 379 | hfx_thd_1d(ji) = hfx_thd_1d(ji) + zfmdt * zEw * r1_rdtice |
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| 380 | ! Total heat flux used in this process [W.m-2] |
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| 381 | hfx_opw_1d(ji) = hfx_opw_1d(ji) - zfmdt * zdE * r1_rdtice |
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| 382 | ! mass flux |
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| 383 | wfx_opw_1d(ji) = wfx_opw_1d(ji) - zv_newice(ji) * rhoic * r1_rdtice |
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| 384 | ! salt flux |
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| 385 | sfx_opw_1d(ji) = sfx_opw_1d(ji) - zv_newice(ji) * rhoic * zs_newice(ji) * r1_rdtice |
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| 386 | |
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[921] | 387 | ! A fraction zfrazb of frazil ice is accreted at the ice bottom |
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[4990] | 388 | rswitch = 1._wp - MAX( 0._wp, SIGN( 1._wp , - zat_i_1d(ji) ) ) |
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[5123] | 389 | zfrazb = rswitch * ( TANH ( rn_Cfrazb * ( zvrel_1d(ji) - rn_vfrazb ) ) + 1.0 ) * 0.5 * rn_maxfrazb |
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[4688] | 390 | zv_frazb(ji) = zfrazb * zv_newice(ji) |
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[921] | 391 | zv_newice(ji) = ( 1.0 - zfrazb ) * zv_newice(ji) |
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| 392 | END DO |
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[865] | 393 | |
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[921] | 394 | !----------------- |
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| 395 | ! Area of new ice |
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| 396 | !----------------- |
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| 397 | DO ji = 1, nbpac |
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[3625] | 398 | za_newice(ji) = zv_newice(ji) / zh_newice(ji) |
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[4688] | 399 | END DO |
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[825] | 400 | |
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[921] | 401 | !------------------------------------------------------------------------------! |
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| 402 | ! 6) Redistribute new ice area and volume into ice categories ! |
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| 403 | !------------------------------------------------------------------------------! |
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[825] | 404 | |
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[4688] | 405 | !------------------------ |
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| 406 | ! 6.1) lateral ice growth |
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| 407 | !------------------------ |
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[921] | 408 | ! If lateral ice growth gives an ice concentration gt 1, then |
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[3625] | 409 | ! we keep the excessive volume in memory and attribute it later to bottom accretion |
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[921] | 410 | DO ji = 1, nbpac |
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[5123] | 411 | IF ( za_newice(ji) > ( rn_amax - zat_i_1d(ji) ) ) THEN |
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| 412 | zda_res(ji) = za_newice(ji) - ( rn_amax - zat_i_1d(ji) ) |
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[3625] | 413 | zdv_res(ji) = zda_res (ji) * zh_newice(ji) |
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| 414 | za_newice(ji) = za_newice(ji) - zda_res (ji) |
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| 415 | zv_newice(ji) = zv_newice(ji) - zdv_res (ji) |
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[921] | 416 | ELSE |
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[3625] | 417 | zda_res(ji) = 0._wp |
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| 418 | zdv_res(ji) = 0._wp |
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[921] | 419 | ENDIF |
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[4688] | 420 | END DO |
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[825] | 421 | |
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[4688] | 422 | ! find which category to fill |
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| 423 | zat_i_1d(:) = 0._wp |
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[921] | 424 | DO jl = 1, jpl |
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| 425 | DO ji = 1, nbpac |
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[4688] | 426 | IF( zh_newice(ji) > hi_max(jl-1) .AND. zh_newice(ji) <= hi_max(jl) ) THEN |
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| 427 | za_i_1d (ji,jl) = za_i_1d (ji,jl) + za_newice(ji) |
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| 428 | zv_i_1d (ji,jl) = zv_i_1d (ji,jl) + zv_newice(ji) |
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| 429 | jcat (ji) = jl |
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[921] | 430 | ENDIF |
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[4688] | 431 | zat_i_1d(ji) = zat_i_1d(ji) + za_i_1d (ji,jl) |
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[3625] | 432 | END DO |
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| 433 | END DO |
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[825] | 434 | |
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[4688] | 435 | ! Heat content |
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[921] | 436 | DO ji = 1, nbpac |
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[4688] | 437 | jl = jcat(ji) ! categroy in which new ice is put |
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[4872] | 438 | zswinew (ji) = MAX( 0._wp , SIGN( 1._wp , - za_b(ji,jl) ) ) ! 0 if old ice |
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[921] | 439 | END DO |
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[825] | 440 | |
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[921] | 441 | DO jk = 1, nlay_i |
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| 442 | DO ji = 1, nbpac |
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[4688] | 443 | jl = jcat(ji) |
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[4990] | 444 | rswitch = MAX( 0._wp, SIGN( 1._wp , zv_i_1d(ji,jl) - epsi20 ) ) |
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[4688] | 445 | ze_i_1d(ji,jk,jl) = zswinew(ji) * ze_newice(ji) + & |
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[4872] | 446 | & ( 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] | 447 | & * rswitch / MAX( zv_i_1d(ji,jl), epsi20 ) |
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[2715] | 448 | END DO |
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| 449 | END DO |
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[825] | 450 | |
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[4688] | 451 | !------------------------------------------------ |
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| 452 | ! 6.2) bottom ice growth + ice enthalpy remapping |
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| 453 | !------------------------------------------------ |
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| 454 | DO jl = 1, jpl |
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[825] | 455 | |
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[4688] | 456 | ! for remapping |
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| 457 | h_i_old (1:nbpac,0:nlay_i+1) = 0._wp |
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| 458 | qh_i_old(1:nbpac,0:nlay_i+1) = 0._wp |
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[921] | 459 | DO jk = 1, nlay_i |
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| 460 | DO ji = 1, nbpac |
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[5123] | 461 | h_i_old (ji,jk) = zv_i_1d(ji,jl) * r1_nlay_i |
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[4688] | 462 | qh_i_old(ji,jk) = ze_i_1d(ji,jk,jl) * h_i_old(ji,jk) |
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[2715] | 463 | END DO |
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| 464 | END DO |
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[4688] | 465 | |
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| 466 | ! new volumes including lateral/bottom accretion + residual |
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[921] | 467 | DO ji = 1, nbpac |
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[4990] | 468 | rswitch = MAX( 0._wp, SIGN( 1._wp , zat_i_1d(ji) - epsi20 ) ) |
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| 469 | zv_newfra = rswitch * ( zdv_res(ji) + zv_frazb(ji) ) * za_i_1d(ji,jl) / MAX( zat_i_1d(ji) , epsi20 ) |
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| 470 | za_i_1d(ji,jl) = rswitch * za_i_1d(ji,jl) |
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[4688] | 471 | zv_i_1d(ji,jl) = zv_i_1d(ji,jl) + zv_newfra |
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| 472 | ! for remapping |
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| 473 | h_i_old (ji,nlay_i+1) = zv_newfra |
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| 474 | qh_i_old(ji,nlay_i+1) = ze_newice(ji) * zv_newfra |
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| 475 | ENDDO |
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| 476 | ! --- Ice enthalpy remapping --- ! |
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[4833] | 477 | CALL lim_thd_ent( 1, nbpac, ze_i_1d(1:nbpac,:,jl) ) |
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[4688] | 478 | ENDDO |
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| 479 | |
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[921] | 480 | !----------------- |
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| 481 | ! Update salinity |
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| 482 | !----------------- |
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[4161] | 483 | DO jl = 1, jpl |
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| 484 | DO ji = 1, nbpac |
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[4872] | 485 | zdv = zv_i_1d(ji,jl) - zv_b(ji,jl) |
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[4688] | 486 | zsmv_i_1d(ji,jl) = zsmv_i_1d(ji,jl) + zdv * zs_newice(ji) |
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| 487 | END DO |
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[4161] | 488 | END DO |
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| 489 | |
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[921] | 490 | !------------------------------------------------------------------------------! |
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[4688] | 491 | ! 7) Change 2D vectors to 1D vectors |
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[921] | 492 | !------------------------------------------------------------------------------! |
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| 493 | DO jl = 1, jpl |
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[4688] | 494 | CALL tab_1d_2d( nbpac, a_i (:,:,jl), npac(1:nbpac), za_i_1d (1:nbpac,jl), jpi, jpj ) |
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| 495 | CALL tab_1d_2d( nbpac, v_i (:,:,jl), npac(1:nbpac), zv_i_1d (1:nbpac,jl), jpi, jpj ) |
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| 496 | CALL tab_1d_2d( nbpac, smv_i (:,:,jl), npac(1:nbpac), zsmv_i_1d(1:nbpac,jl) , jpi, jpj ) |
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[921] | 497 | DO jk = 1, nlay_i |
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[4688] | 498 | CALL tab_1d_2d( nbpac, e_i(:,:,jk,jl), npac(1:nbpac), ze_i_1d(1:nbpac,jk,jl), jpi, jpj ) |
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[2715] | 499 | END DO |
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| 500 | END DO |
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[4688] | 501 | CALL tab_1d_2d( nbpac, sfx_opw, npac(1:nbpac), sfx_opw_1d(1:nbpac), jpi, jpj ) |
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| 502 | CALL tab_1d_2d( nbpac, wfx_opw, npac(1:nbpac), wfx_opw_1d(1:nbpac), jpi, jpj ) |
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| 503 | |
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| 504 | CALL tab_1d_2d( nbpac, hfx_thd, npac(1:nbpac), hfx_thd_1d(1:nbpac), jpi, jpj ) |
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| 505 | CALL tab_1d_2d( nbpac, hfx_opw, npac(1:nbpac), hfx_opw_1d(1:nbpac), jpi, jpj ) |
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[2715] | 506 | ! |
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[921] | 507 | ENDIF ! nbpac > 0 |
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[825] | 508 | |
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[921] | 509 | !------------------------------------------------------------------------------! |
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[4688] | 510 | ! 8) Change units for e_i |
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[921] | 511 | !------------------------------------------------------------------------------! |
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[825] | 512 | DO jl = 1, jpl |
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[4688] | 513 | DO jk = 1, nlay_i |
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| 514 | DO jj = 1, jpj |
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| 515 | DO ji = 1, jpi |
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[5123] | 516 | ! heat content in J/m2 |
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| 517 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) * v_i(ji,jj,jl) * r1_nlay_i |
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[4688] | 518 | END DO |
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| 519 | END DO |
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[825] | 520 | END DO |
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| 521 | END DO |
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| 522 | |
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[2715] | 523 | ! |
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[4688] | 524 | CALL wrk_dealloc( jpij, jcat ) ! integer |
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[3294] | 525 | CALL wrk_dealloc( jpij, zswinew, zv_newice, za_newice, zh_newice, ze_newice, zs_newice, zo_newice ) |
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[4869] | 526 | CALL wrk_dealloc( jpij, zdv_res, zda_res, zat_i_1d, zv_frazb, zvrel_1d ) |
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[5202] | 527 | CALL wrk_dealloc( jpij,jpl, zv_b, za_b, za_i_1d, zv_i_1d, zsmv_i_1d ) |
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[5182] | 528 | CALL wrk_dealloc( jpij,nlay_i,jpl, ze_i_1d ) |
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[4688] | 529 | CALL wrk_dealloc( jpi,jpj, zvrel ) |
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[2715] | 530 | ! |
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[825] | 531 | END SUBROUTINE lim_thd_lac |
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| 532 | |
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| 533 | #else |
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[2715] | 534 | !!---------------------------------------------------------------------- |
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| 535 | !! Default option NO LIM3 sea-ice model |
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| 536 | !!---------------------------------------------------------------------- |
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[825] | 537 | CONTAINS |
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| 538 | SUBROUTINE lim_thd_lac ! Empty routine |
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| 539 | END SUBROUTINE lim_thd_lac |
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| 540 | #endif |
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[2715] | 541 | |
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| 542 | !!====================================================================== |
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[825] | 543 | END MODULE limthd_lac |
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