[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 par_ice ! LIM parameters |
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| 25 | USE ice ! LIM variables |
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| 26 | USE limtab ! LIM 2D <==> 1D |
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| 27 | USE limcons ! LIM conservation |
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| 28 | USE in_out_manager ! I/O manager |
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| 29 | USE lib_mpp ! MPP library |
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| 30 | USE wrk_nemo ! work arrays |
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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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[4688] | 33 | USE limthd_ent |
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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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[4333] | 40 | REAL(wp) :: epsi10 = 1.e-10_wp ! |
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[4688] | 41 | REAL(wp) :: epsi20 = 1.e-20_wp ! |
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[825] | 42 | |
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| 43 | !!---------------------------------------------------------------------- |
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[4161] | 44 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
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[1156] | 45 | !! $Id$ |
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[2715] | 46 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[825] | 47 | !!---------------------------------------------------------------------- |
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| 48 | CONTAINS |
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[921] | 49 | |
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[825] | 50 | SUBROUTINE lim_thd_lac |
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| 51 | !!------------------------------------------------------------------- |
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| 52 | !! *** ROUTINE lim_thd_lac *** |
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| 53 | !! |
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| 54 | !! ** Purpose : Computation of the evolution of the ice thickness and |
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| 55 | !! concentration as a function of the heat balance in the leads. |
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| 56 | !! It is only used for lateral accretion |
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| 57 | !! |
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| 58 | !! ** Method : Ice is formed in the open water when ocean lose heat |
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| 59 | !! (heat budget of open water Bl is negative) . |
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| 60 | !! Computation of the increase of 1-A (ice concentration) fol- |
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| 61 | !! lowing the law : |
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| 62 | !! (dA/dt)acc = F[ (1-A)/(1-a) ] * [ Bl / (Li*h0) ] |
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| 63 | !! where - h0 is the thickness of ice created in the lead |
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| 64 | !! - a is a minimum fraction for leads |
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| 65 | !! - F is a monotonic non-increasing function defined as: |
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| 66 | !! F(X)=( 1 - X**exld )**(1.0/exld) |
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| 67 | !! - exld is the exponent closure rate (=2 default val.) |
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| 68 | !! |
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| 69 | !! ** Action : - Adjustment of snow and ice thicknesses and heat |
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| 70 | !! content in brine pockets |
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| 71 | !! - Updating ice internal temperature |
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| 72 | !! - Computation of variation of ice volume and mass |
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| 73 | !! - Computation of frldb after lateral accretion and |
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[4872] | 74 | !! update ht_s_1d, ht_i_1d and tbif_1d(:,:) |
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[825] | 75 | !!------------------------------------------------------------------------ |
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[4869] | 76 | INTEGER :: ji,jj,jk,jl ! dummy loop indices |
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[4870] | 77 | INTEGER :: nbpac ! local integers |
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[4869] | 78 | INTEGER :: ii, ij, iter ! - - |
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[4688] | 79 | REAL(wp) :: ztmelts, zdv, zfrazb, zweight, zindb, zinda, zde ! local scalars |
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[2715] | 80 | REAL(wp) :: zgamafr, zvfrx, zvgx, ztaux, ztwogp, zf , zhicol_new ! - - |
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| 81 | REAL(wp) :: ztenagm, zvfry, zvgy, ztauy, zvrel2, zfp, zsqcd , zhicrit ! - - |
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| 82 | LOGICAL :: iterate_frazil ! iterate frazil ice collection thickness |
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| 83 | CHARACTER (len = 15) :: fieldid |
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[4688] | 84 | |
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| 85 | REAL(wp) :: zQm ! enthalpy exchanged with the ocean (J/m2, >0 towards ocean) |
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| 86 | REAL(wp) :: zEi ! sea ice specific enthalpy (J/kg) |
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| 87 | REAL(wp) :: zEw ! seawater specific enthalpy (J/kg) |
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| 88 | REAL(wp) :: zfmdt ! mass flux x time step (kg/m2, >0 towards ocean) |
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| 89 | |
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| 90 | REAL(wp) :: zv_newfra |
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| 91 | |
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[4872] | 92 | INTEGER , POINTER, DIMENSION(:) :: jcat ! indexes of categories where new ice grows |
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[3294] | 93 | REAL(wp), POINTER, DIMENSION(:) :: zswinew ! switch for new ice or not |
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[825] | 94 | |
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[3294] | 95 | REAL(wp), POINTER, DIMENSION(:) :: zv_newice ! volume of accreted ice |
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| 96 | REAL(wp), POINTER, DIMENSION(:) :: za_newice ! fractional area of accreted ice |
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| 97 | REAL(wp), POINTER, DIMENSION(:) :: zh_newice ! thickness of accreted ice |
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| 98 | REAL(wp), POINTER, DIMENSION(:) :: ze_newice ! heat content of accreted ice |
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| 99 | REAL(wp), POINTER, DIMENSION(:) :: zs_newice ! salinity of accreted ice |
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| 100 | REAL(wp), POINTER, DIMENSION(:) :: zo_newice ! age of accreted ice |
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| 101 | REAL(wp), POINTER, DIMENSION(:) :: zdv_res ! residual volume in case of excessive heat budget |
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| 102 | REAL(wp), POINTER, DIMENSION(:) :: zda_res ! residual area in case of excessive heat budget |
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[4688] | 103 | REAL(wp), POINTER, DIMENSION(:) :: zat_i_1d ! total ice fraction |
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[4872] | 104 | REAL(wp), POINTER, DIMENSION(:) :: zv_frazb ! accretion of frazil ice at the ice bottom |
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[4688] | 105 | REAL(wp), POINTER, DIMENSION(:) :: zvrel_1d ! relative ice / frazil velocity (1D vector) |
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[825] | 106 | |
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[4872] | 107 | REAL(wp), POINTER, DIMENSION(:,:) :: zv_b ! old volume of ice in category jl |
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| 108 | REAL(wp), POINTER, DIMENSION(:,:) :: za_b ! old area of ice in category jl |
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| 109 | REAL(wp), POINTER, DIMENSION(:,:) :: za_i_1d ! 1-D version of a_i |
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| 110 | REAL(wp), POINTER, DIMENSION(:,:) :: zv_i_1d ! 1-D version of v_i |
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| 111 | REAL(wp), POINTER, DIMENSION(:,:) :: zoa_i_1d ! 1-D version of oa_i |
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| 112 | REAL(wp), POINTER, DIMENSION(:,:) :: zsmv_i_1d ! 1-D version of smv_i |
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[825] | 113 | |
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[4872] | 114 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ze_i_1d !: 1-D version of e_i |
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[825] | 115 | |
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[3294] | 116 | REAL(wp), POINTER, DIMENSION(:,:) :: zvrel ! relative ice / frazil velocity |
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| 117 | !!-----------------------------------------------------------------------! |
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[825] | 118 | |
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[4688] | 119 | CALL wrk_alloc( jpij, jcat ) ! integer |
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[3294] | 120 | CALL wrk_alloc( jpij, zswinew, zv_newice, za_newice, zh_newice, ze_newice, zs_newice, zo_newice ) |
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[4869] | 121 | CALL wrk_alloc( jpij, zdv_res, zda_res, zat_i_1d, zv_frazb, zvrel_1d ) |
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[4872] | 122 | CALL wrk_alloc( jpij,jpl, zv_b, za_b, za_i_1d, zv_i_1d, zoa_i_1d, zsmv_i_1d ) |
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[4873] | 123 | CALL wrk_alloc( jpij,nlay_i+1,jpl, ze_i_1d ) |
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[4688] | 124 | CALL wrk_alloc( jpi,jpj, zvrel ) |
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[3294] | 125 | |
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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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[4333] | 134 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , -v_i(ji,jj,jl) + epsi10 ) ) !0 if no ice and 1 if yes |
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[4833] | 135 | e_i(ji,jj,jk,jl) = zindb * e_i(ji,jj,jk,jl) / ( area(ji,jj) * MAX( v_i(ji,jj,jl) , epsi10 ) ) * REAL( nlay_i, wp ) |
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[4688] | 136 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) * unit_fac |
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[921] | 137 | END DO |
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[825] | 138 | END DO |
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[921] | 139 | END DO |
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[825] | 140 | END DO |
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| 141 | |
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[921] | 142 | !------------------------------------------------------------------------------! |
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| 143 | ! 3) Collection thickness of ice formed in leads and polynyas |
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| 144 | !------------------------------------------------------------------------------! |
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[865] | 145 | ! hicol is the thickness of new ice formed in open water |
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| 146 | ! hicol can be either prescribed (frazswi = 0) |
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| 147 | ! or computed (frazswi = 1) |
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[825] | 148 | ! Frazil ice forms in open water, is transported by wind |
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| 149 | ! accumulates at the edge of the consolidated ice edge |
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| 150 | ! where it forms aggregates of a specific thickness called |
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| 151 | ! collection thickness. |
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| 152 | |
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[865] | 153 | ! Note : the following algorithm currently breaks vectorization |
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| 154 | ! |
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| 155 | |
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[3625] | 156 | zvrel(:,:) = 0._wp |
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[825] | 157 | |
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| 158 | ! Default new ice thickness |
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[4688] | 159 | hicol(:,:) = hiccrit |
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[825] | 160 | |
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[4688] | 161 | IF( fraz_swi == 1 ) THEN |
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[825] | 162 | |
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[921] | 163 | !-------------------- |
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| 164 | ! Physical constants |
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| 165 | !-------------------- |
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[3625] | 166 | hicol(:,:) = 0._wp |
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[825] | 167 | |
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[921] | 168 | zhicrit = 0.04 ! frazil ice thickness |
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| 169 | ztwogp = 2. * rau0 / ( grav * 0.3 * ( rau0 - rhoic ) ) ! reduced grav |
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| 170 | zsqcd = 1.0 / SQRT( 1.3 * cai ) ! 1/SQRT(airdensity*drag) |
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| 171 | zgamafr = 0.03 |
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[825] | 172 | |
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[4833] | 173 | DO jj = 2, jpj |
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| 174 | DO ji = 2, jpi |
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[4688] | 175 | IF ( qlead(ji,jj) < 0._wp ) THEN |
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[921] | 176 | !------------- |
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| 177 | ! Wind stress |
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| 178 | !------------- |
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| 179 | ! C-grid wind stress components |
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[3625] | 180 | ztaux = ( utau_ice(ji-1,jj ) * tmu(ji-1,jj ) & |
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| 181 | & + utau_ice(ji ,jj ) * tmu(ji ,jj ) ) * 0.5_wp |
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| 182 | ztauy = ( vtau_ice(ji ,jj-1) * tmv(ji ,jj-1) & |
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| 183 | & + vtau_ice(ji ,jj ) * tmv(ji ,jj ) ) * 0.5_wp |
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[921] | 184 | ! Square root of wind stress |
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[4688] | 185 | ztenagm = SQRT( SQRT( ztaux**2 + ztauy**2 ) ) |
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[825] | 186 | |
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[921] | 187 | !--------------------- |
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| 188 | ! Frazil ice velocity |
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| 189 | !--------------------- |
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[4688] | 190 | zindb = MAX( 0._wp, SIGN( 1._wp , ztenagm - epsi10 ) ) |
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| 191 | zvfrx = zindb * zgamafr * zsqcd * ztaux / MAX( ztenagm, epsi10 ) |
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| 192 | zvfry = zindb * zgamafr * zsqcd * ztauy / MAX( ztenagm, epsi10 ) |
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[825] | 193 | |
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[921] | 194 | !------------------- |
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| 195 | ! Pack ice velocity |
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| 196 | !------------------- |
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| 197 | ! C-grid ice velocity |
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[3625] | 198 | zindb = MAX( 0._wp, SIGN( 1._wp , at_i(ji,jj) ) ) |
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| 199 | zvgx = zindb * ( u_ice(ji-1,jj ) * tmu(ji-1,jj ) & |
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| 200 | & + u_ice(ji,jj ) * tmu(ji ,jj ) ) * 0.5_wp |
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| 201 | zvgy = zindb * ( v_ice(ji ,jj-1) * tmv(ji ,jj-1) & |
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| 202 | & + v_ice(ji,jj ) * tmv(ji ,jj ) ) * 0.5_wp |
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[825] | 203 | |
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[921] | 204 | !----------------------------------- |
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| 205 | ! Relative frazil/pack ice velocity |
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| 206 | !----------------------------------- |
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| 207 | ! absolute relative velocity |
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[3625] | 208 | zvrel2 = MAX( ( zvfrx - zvgx ) * ( zvfrx - zvgx ) & |
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| 209 | & + ( zvfry - zvgy ) * ( zvfry - zvgy ) , 0.15 * 0.15 ) |
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| 210 | zvrel(ji,jj) = SQRT( zvrel2 ) |
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[825] | 211 | |
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[921] | 212 | !--------------------- |
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| 213 | ! Iterative procedure |
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| 214 | !--------------------- |
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| 215 | hicol(ji,jj) = zhicrit + 0.1 |
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[3625] | 216 | hicol(ji,jj) = zhicrit + hicol(ji,jj) & |
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| 217 | & / ( hicol(ji,jj) * hicol(ji,jj) - zhicrit * zhicrit ) * ztwogp * zvrel2 |
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[825] | 218 | |
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[3625] | 219 | !!gm better coding: above: hicol(ji,jj) * hicol(ji,jj) = (zhicrit + 0.1)*(zhicrit + 0.1) |
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| 220 | !!gm = zhicrit**2 + 0.2*zhicrit +0.01 |
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| 221 | !!gm therefore the 2 lines with hicol can be replaced by 1 line: |
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| 222 | !!gm hicol(ji,jj) = zhicrit + (zhicrit + 0.1) / ( 0.2 * zhicrit + 0.01 ) * ztwogp * zvrel2 |
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| 223 | !!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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| 224 | |
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[921] | 225 | iter = 1 |
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| 226 | iterate_frazil = .true. |
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[825] | 227 | |
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[921] | 228 | DO WHILE ( iter .LT. 100 .AND. iterate_frazil ) |
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| 229 | zf = ( hicol(ji,jj) - zhicrit ) * ( hicol(ji,jj)**2 - zhicrit**2 ) & |
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| 230 | - hicol(ji,jj) * zhicrit * ztwogp * zvrel2 |
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| 231 | zfp = ( hicol(ji,jj) - zhicrit ) * ( 3.0*hicol(ji,jj) + zhicrit ) & |
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| 232 | - zhicrit * ztwogp * zvrel2 |
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| 233 | zhicol_new = hicol(ji,jj) - zf/zfp |
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| 234 | hicol(ji,jj) = zhicol_new |
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[825] | 235 | |
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[921] | 236 | iter = iter + 1 |
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[825] | 237 | |
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[921] | 238 | END DO ! do while |
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[825] | 239 | |
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[921] | 240 | ENDIF ! end of selection of pixels where ice forms |
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[825] | 241 | |
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[921] | 242 | END DO ! loop on ji ends |
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| 243 | END DO ! loop on jj ends |
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[4833] | 244 | ! |
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| 245 | CALL lbc_lnk( zvrel(:,:), 'T', 1. ) |
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| 246 | CALL lbc_lnk( hicol(:,:), 'T', 1. ) |
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[825] | 247 | |
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| 248 | ENDIF ! End of computation of frazil ice collection thickness |
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| 249 | |
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[921] | 250 | !------------------------------------------------------------------------------! |
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| 251 | ! 4) Identify grid points where new ice forms |
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| 252 | !------------------------------------------------------------------------------! |
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[825] | 253 | |
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| 254 | !------------------------------------- |
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| 255 | ! Select points for new ice formation |
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| 256 | !------------------------------------- |
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| 257 | ! This occurs if open water energy budget is negative |
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| 258 | nbpac = 0 |
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[4833] | 259 | npac(:) = 0 |
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| 260 | ! |
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[825] | 261 | DO jj = 1, jpj |
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| 262 | DO ji = 1, jpi |
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[4688] | 263 | IF ( qlead(ji,jj) < 0._wp ) THEN |
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[825] | 264 | nbpac = nbpac + 1 |
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| 265 | npac( nbpac ) = (jj - 1) * jpi + ji |
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| 266 | ENDIF |
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| 267 | END DO |
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| 268 | END DO |
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| 269 | |
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[4333] | 270 | ! debug point to follow |
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| 271 | jiindex_1d = 0 |
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| 272 | IF( ln_nicep ) THEN |
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| 273 | DO ji = mi0(jiindx), mi1(jiindx) |
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| 274 | DO jj = mj0(jjindx), mj1(jjindx) |
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[4688] | 275 | IF ( qlead(ji,jj) < 0._wp ) THEN |
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[4333] | 276 | jiindex_1d = (jj - 1) * jpi + ji |
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| 277 | ENDIF |
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| 278 | END DO |
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| 279 | END DO |
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| 280 | ENDIF |
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| 281 | |
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| 282 | IF( ln_nicep ) WRITE(numout,*) 'lim_thd_lac : nbpac = ', nbpac |
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[825] | 283 | |
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| 284 | !------------------------------ |
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| 285 | ! Move from 2-D to 1-D vectors |
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| 286 | !------------------------------ |
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| 287 | ! If ocean gains heat do nothing |
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| 288 | ! 0therwise compute new ice formation |
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| 289 | |
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| 290 | IF ( nbpac > 0 ) THEN |
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| 291 | |
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[4688] | 292 | CALL tab_2d_1d( nbpac, zat_i_1d (1:nbpac) , at_i , jpi, jpj, npac(1:nbpac) ) |
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[921] | 293 | DO jl = 1, jpl |
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[4688] | 294 | CALL tab_2d_1d( nbpac, za_i_1d (1:nbpac,jl), a_i (:,:,jl), jpi, jpj, npac(1:nbpac) ) |
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| 295 | CALL tab_2d_1d( nbpac, zv_i_1d (1:nbpac,jl), v_i (:,:,jl), jpi, jpj, npac(1:nbpac) ) |
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| 296 | CALL tab_2d_1d( nbpac, zoa_i_1d (1:nbpac,jl), oa_i (:,:,jl), jpi, jpj, npac(1:nbpac) ) |
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| 297 | CALL tab_2d_1d( nbpac, zsmv_i_1d(1:nbpac,jl), smv_i(:,:,jl), jpi, jpj, npac(1:nbpac) ) |
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[921] | 298 | DO jk = 1, nlay_i |
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[4688] | 299 | 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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[921] | 300 | END DO ! jk |
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| 301 | END DO ! jl |
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[825] | 302 | |
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[4688] | 303 | CALL tab_2d_1d( nbpac, qlead_1d (1:nbpac) , qlead , jpi, jpj, npac(1:nbpac) ) |
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[4872] | 304 | CALL tab_2d_1d( nbpac, t_bo_1d (1:nbpac) , t_bo , jpi, jpj, npac(1:nbpac) ) |
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[4688] | 305 | CALL tab_2d_1d( nbpac, sfx_opw_1d(1:nbpac) , sfx_opw, jpi, jpj, npac(1:nbpac) ) |
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| 306 | CALL tab_2d_1d( nbpac, wfx_opw_1d(1:nbpac) , wfx_opw, jpi, jpj, npac(1:nbpac) ) |
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[4872] | 307 | CALL tab_2d_1d( nbpac, hicol_1d (1:nbpac) , hicol , jpi, jpj, npac(1:nbpac) ) |
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[4688] | 308 | CALL tab_2d_1d( nbpac, zvrel_1d (1:nbpac) , zvrel , jpi, jpj, npac(1:nbpac) ) |
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[834] | 309 | |
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[4688] | 310 | CALL tab_2d_1d( nbpac, hfx_thd_1d(1:nbpac) , hfx_thd, jpi, jpj, npac(1:nbpac) ) |
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| 311 | CALL tab_2d_1d( nbpac, hfx_opw_1d(1:nbpac) , hfx_opw, jpi, jpj, npac(1:nbpac) ) |
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| 312 | |
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[921] | 313 | !------------------------------------------------------------------------------! |
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| 314 | ! 5) Compute thickness, salinity, enthalpy, age, area and volume of new ice |
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| 315 | !------------------------------------------------------------------------------! |
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[825] | 316 | |
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[4688] | 317 | !----------------------------------------- |
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| 318 | ! Keep old ice areas and volume in memory |
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| 319 | !----------------------------------------- |
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[4872] | 320 | zv_b(1:nbpac,:) = zv_i_1d(1:nbpac,:) |
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| 321 | za_b(1:nbpac,:) = za_i_1d(1:nbpac,:) |
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[921] | 322 | !---------------------- |
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| 323 | ! Thickness of new ice |
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| 324 | !---------------------- |
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| 325 | DO ji = 1, nbpac |
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[4688] | 326 | zh_newice(ji) = hiccrit |
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[921] | 327 | END DO |
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[4872] | 328 | IF( fraz_swi == 1 ) zh_newice(1:nbpac) = hicol_1d(1:nbpac) |
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[825] | 329 | |
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[921] | 330 | !---------------------- |
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| 331 | ! Salinity of new ice |
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| 332 | !---------------------- |
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[3625] | 333 | SELECT CASE ( num_sal ) |
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| 334 | CASE ( 1 ) ! Sice = constant |
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[4833] | 335 | zs_newice(1:nbpac) = bulk_sal |
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[3625] | 336 | CASE ( 2 ) ! Sice = F(z,t) [Vancoppenolle et al (2005)] |
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[921] | 337 | DO ji = 1, nbpac |
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[4161] | 338 | ii = MOD( npac(ji) - 1 , jpi ) + 1 |
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| 339 | ij = ( npac(ji) - 1 ) / jpi + 1 |
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| 340 | zs_newice(ji) = MIN( 4.606 + 0.91 / zh_newice(ji) , s_i_max , 0.5 * sss_m(ii,ij) ) |
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[3625] | 341 | END DO |
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| 342 | CASE ( 3 ) ! Sice = F(z) [multiyear ice] |
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[4833] | 343 | zs_newice(1:nbpac) = 2.3 |
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[3625] | 344 | END SELECT |
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[825] | 345 | |
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[921] | 346 | !------------------------- |
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| 347 | ! Heat content of new ice |
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| 348 | !------------------------- |
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| 349 | ! We assume that new ice is formed at the seawater freezing point |
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| 350 | DO ji = 1, nbpac |
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[3625] | 351 | ztmelts = - tmut * zs_newice(ji) + rtt ! Melting point (K) |
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[4872] | 352 | ze_newice(ji) = rhoic * ( cpic * ( ztmelts - t_bo_1d(ji) ) & |
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| 353 | & + lfus * ( 1.0 - ( ztmelts - rtt ) / MIN( t_bo_1d(ji) - rtt, -epsi10 ) ) & |
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[3625] | 354 | & - rcp * ( ztmelts - rtt ) ) |
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[921] | 355 | END DO ! ji |
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[4688] | 356 | |
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[921] | 357 | !---------------- |
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| 358 | ! Age of new ice |
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| 359 | !---------------- |
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| 360 | DO ji = 1, nbpac |
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[3625] | 361 | zo_newice(ji) = 0._wp |
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[921] | 362 | END DO ! ji |
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[825] | 363 | |
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[921] | 364 | !------------------- |
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| 365 | ! Volume of new ice |
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| 366 | !------------------- |
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| 367 | DO ji = 1, nbpac |
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[825] | 368 | |
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[4688] | 369 | zEi = - ze_newice(ji) / rhoic ! specific enthalpy of forming ice [J/kg] |
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| 370 | |
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[4872] | 371 | zEw = rcp * ( t_bo_1d(ji) - rt0 ) ! specific enthalpy of seawater at t_bo_1d [J/kg] |
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[4688] | 372 | ! clem: we suppose we are already at the freezing point (condition qlead<0 is satisfyied) |
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| 373 | |
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| 374 | zdE = zEi - zEw ! specific enthalpy difference [J/kg] |
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| 375 | |
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| 376 | zfmdt = - qlead_1d(ji) / zdE ! Fm.dt [kg/m2] (<0) |
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| 377 | ! clem: we use qlead instead of zqld (limthd) because we suppose we are at the freezing point |
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| 378 | zv_newice(ji) = - zfmdt / rhoic |
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| 379 | |
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| 380 | zQm = zfmdt * zEw ! heat to the ocean >0 associated with mass flux |
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| 381 | |
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| 382 | ! Contribution to heat flux to the ocean [W.m-2], >0 |
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| 383 | hfx_thd_1d(ji) = hfx_thd_1d(ji) + zfmdt * zEw * r1_rdtice |
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| 384 | ! Total heat flux used in this process [W.m-2] |
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| 385 | hfx_opw_1d(ji) = hfx_opw_1d(ji) - zfmdt * zdE * r1_rdtice |
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| 386 | ! mass flux |
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| 387 | wfx_opw_1d(ji) = wfx_opw_1d(ji) - zv_newice(ji) * rhoic * r1_rdtice |
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| 388 | ! salt flux |
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| 389 | sfx_opw_1d(ji) = sfx_opw_1d(ji) - zv_newice(ji) * rhoic * zs_newice(ji) * r1_rdtice |
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| 390 | |
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[921] | 391 | ! A fraction zfrazb of frazil ice is accreted at the ice bottom |
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[4688] | 392 | zinda = 1._wp - MAX( 0._wp, SIGN( 1._wp , - zat_i_1d(ji) ) ) |
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| 393 | zfrazb = zinda * ( TANH ( Cfrazb * ( zvrel_1d(ji) - vfrazb ) ) + 1.0 ) * 0.5 * maxfrazb |
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| 394 | zv_frazb(ji) = zfrazb * zv_newice(ji) |
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[921] | 395 | zv_newice(ji) = ( 1.0 - zfrazb ) * zv_newice(ji) |
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| 396 | END DO |
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[865] | 397 | |
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[921] | 398 | !----------------- |
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| 399 | ! Area of new ice |
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| 400 | !----------------- |
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| 401 | DO ji = 1, nbpac |
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[3625] | 402 | za_newice(ji) = zv_newice(ji) / zh_newice(ji) |
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[4688] | 403 | END DO |
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[825] | 404 | |
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[921] | 405 | !------------------------------------------------------------------------------! |
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| 406 | ! 6) Redistribute new ice area and volume into ice categories ! |
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| 407 | !------------------------------------------------------------------------------! |
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[825] | 408 | |
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[4688] | 409 | !------------------------ |
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| 410 | ! 6.1) lateral ice growth |
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| 411 | !------------------------ |
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[921] | 412 | ! If lateral ice growth gives an ice concentration gt 1, then |
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[3625] | 413 | ! we keep the excessive volume in memory and attribute it later to bottom accretion |
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[921] | 414 | DO ji = 1, nbpac |
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[4688] | 415 | IF ( za_newice(ji) > ( amax - zat_i_1d(ji) ) ) THEN |
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| 416 | zda_res(ji) = za_newice(ji) - ( amax - zat_i_1d(ji) ) |
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[3625] | 417 | zdv_res(ji) = zda_res (ji) * zh_newice(ji) |
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| 418 | za_newice(ji) = za_newice(ji) - zda_res (ji) |
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| 419 | zv_newice(ji) = zv_newice(ji) - zdv_res (ji) |
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[921] | 420 | ELSE |
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[3625] | 421 | zda_res(ji) = 0._wp |
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| 422 | zdv_res(ji) = 0._wp |
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[921] | 423 | ENDIF |
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[4688] | 424 | END DO |
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[825] | 425 | |
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[4688] | 426 | ! find which category to fill |
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| 427 | zat_i_1d(:) = 0._wp |
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[921] | 428 | DO jl = 1, jpl |
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| 429 | DO ji = 1, nbpac |
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[4688] | 430 | IF( zh_newice(ji) > hi_max(jl-1) .AND. zh_newice(ji) <= hi_max(jl) ) THEN |
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| 431 | za_i_1d (ji,jl) = za_i_1d (ji,jl) + za_newice(ji) |
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| 432 | zv_i_1d (ji,jl) = zv_i_1d (ji,jl) + zv_newice(ji) |
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| 433 | jcat (ji) = jl |
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[921] | 434 | ENDIF |
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[4688] | 435 | zat_i_1d(ji) = zat_i_1d(ji) + za_i_1d (ji,jl) |
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[3625] | 436 | END DO |
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| 437 | END DO |
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[825] | 438 | |
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[4688] | 439 | ! Heat content |
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[921] | 440 | DO ji = 1, nbpac |
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[4688] | 441 | jl = jcat(ji) ! categroy in which new ice is put |
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[4872] | 442 | zswinew (ji) = MAX( 0._wp , SIGN( 1._wp , - za_b(ji,jl) ) ) ! 0 if old ice |
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[921] | 443 | END DO |
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[825] | 444 | |
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[921] | 445 | DO jk = 1, nlay_i |
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| 446 | DO ji = 1, nbpac |
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[4688] | 447 | jl = jcat(ji) |
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| 448 | zinda = MAX( 0._wp, SIGN( 1._wp , zv_i_1d(ji,jl) - epsi20 ) ) |
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| 449 | ze_i_1d(ji,jk,jl) = zswinew(ji) * ze_newice(ji) + & |
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[4872] | 450 | & ( 1.0 - zswinew(ji) ) * ( ze_newice(ji) * zv_newice(ji) + ze_i_1d(ji,jk,jl) * zv_b(ji,jl) ) & |
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[4688] | 451 | & * zinda / MAX( zv_i_1d(ji,jl), epsi20 ) |
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[2715] | 452 | END DO |
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| 453 | END DO |
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[825] | 454 | |
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[4688] | 455 | !------------------------------------------------ |
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| 456 | ! 6.2) bottom ice growth + ice enthalpy remapping |
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| 457 | !------------------------------------------------ |
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| 458 | DO jl = 1, jpl |
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[825] | 459 | |
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[4688] | 460 | ! for remapping |
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| 461 | h_i_old (1:nbpac,0:nlay_i+1) = 0._wp |
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| 462 | qh_i_old(1:nbpac,0:nlay_i+1) = 0._wp |
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[921] | 463 | DO jk = 1, nlay_i |
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| 464 | DO ji = 1, nbpac |
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[4688] | 465 | h_i_old (ji,jk) = zv_i_1d(ji,jl) / REAL( nlay_i ) |
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| 466 | qh_i_old(ji,jk) = ze_i_1d(ji,jk,jl) * h_i_old(ji,jk) |
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[2715] | 467 | END DO |
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| 468 | END DO |
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[4688] | 469 | |
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| 470 | ! new volumes including lateral/bottom accretion + residual |
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[921] | 471 | DO ji = 1, nbpac |
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[4688] | 472 | zinda = MAX( 0._wp, SIGN( 1._wp , zat_i_1d(ji) - epsi20 ) ) |
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| 473 | zv_newfra = zinda * ( zdv_res(ji) + zv_frazb(ji) ) * za_i_1d(ji,jl) / MAX( zat_i_1d(ji) , epsi20 ) |
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| 474 | za_i_1d(ji,jl) = zinda * za_i_1d(ji,jl) |
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| 475 | zv_i_1d(ji,jl) = zv_i_1d(ji,jl) + zv_newfra |
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| 476 | ! for remapping |
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| 477 | h_i_old (ji,nlay_i+1) = zv_newfra |
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| 478 | qh_i_old(ji,nlay_i+1) = ze_newice(ji) * zv_newfra |
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| 479 | ENDDO |
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[825] | 480 | |
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[4688] | 481 | ! --- Ice enthalpy remapping --- ! |
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[4833] | 482 | CALL lim_thd_ent( 1, nbpac, ze_i_1d(1:nbpac,:,jl) ) |
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[4688] | 483 | ENDDO |
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| 484 | |
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[921] | 485 | !------------ |
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| 486 | ! Update age |
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| 487 | !------------ |
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| 488 | DO jl = 1, jpl |
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| 489 | DO ji = 1, nbpac |
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[4688] | 490 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , - za_i_1d(ji,jl) + epsi20 ) ) ! 0 if no ice and 1 if yes |
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[4872] | 491 | zoa_i_1d(ji,jl) = za_b(ji,jl) * zoa_i_1d(ji,jl) / MAX( za_i_1d(ji,jl) , epsi20 ) * zindb |
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[2715] | 492 | END DO |
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| 493 | END DO |
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[825] | 494 | |
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[921] | 495 | !----------------- |
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| 496 | ! Update salinity |
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| 497 | !----------------- |
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[4161] | 498 | DO jl = 1, jpl |
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| 499 | DO ji = 1, nbpac |
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[4872] | 500 | zdv = zv_i_1d(ji,jl) - zv_b(ji,jl) |
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[4688] | 501 | zsmv_i_1d(ji,jl) = zsmv_i_1d(ji,jl) + zdv * zs_newice(ji) |
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| 502 | END DO |
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[4161] | 503 | END DO |
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| 504 | |
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[921] | 505 | !------------------------------------------------------------------------------! |
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[4688] | 506 | ! 7) Change 2D vectors to 1D vectors |
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[921] | 507 | !------------------------------------------------------------------------------! |
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| 508 | DO jl = 1, jpl |
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[4688] | 509 | CALL tab_1d_2d( nbpac, a_i (:,:,jl), npac(1:nbpac), za_i_1d (1:nbpac,jl), jpi, jpj ) |
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| 510 | CALL tab_1d_2d( nbpac, v_i (:,:,jl), npac(1:nbpac), zv_i_1d (1:nbpac,jl), jpi, jpj ) |
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| 511 | CALL tab_1d_2d( nbpac, oa_i(:,:,jl), npac(1:nbpac), zoa_i_1d(1:nbpac,jl), jpi, jpj ) |
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| 512 | CALL tab_1d_2d( nbpac, smv_i (:,:,jl), npac(1:nbpac), zsmv_i_1d(1:nbpac,jl) , jpi, jpj ) |
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[921] | 513 | DO jk = 1, nlay_i |
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[4688] | 514 | 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] | 515 | END DO |
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| 516 | END DO |
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[4688] | 517 | CALL tab_1d_2d( nbpac, sfx_opw, npac(1:nbpac), sfx_opw_1d(1:nbpac), jpi, jpj ) |
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| 518 | CALL tab_1d_2d( nbpac, wfx_opw, npac(1:nbpac), wfx_opw_1d(1:nbpac), jpi, jpj ) |
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| 519 | |
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| 520 | CALL tab_1d_2d( nbpac, hfx_thd, npac(1:nbpac), hfx_thd_1d(1:nbpac), jpi, jpj ) |
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| 521 | CALL tab_1d_2d( nbpac, hfx_opw, npac(1:nbpac), hfx_opw_1d(1:nbpac), jpi, jpj ) |
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[2715] | 522 | ! |
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[921] | 523 | ENDIF ! nbpac > 0 |
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[825] | 524 | |
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[921] | 525 | !------------------------------------------------------------------------------! |
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[4688] | 526 | ! 8) Change units for e_i |
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[921] | 527 | !------------------------------------------------------------------------------! |
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[825] | 528 | DO jl = 1, jpl |
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[4688] | 529 | DO jk = 1, nlay_i |
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| 530 | DO jj = 1, jpj |
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| 531 | DO ji = 1, jpi |
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| 532 | ! heat content in Joules |
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[4833] | 533 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) * area(ji,jj) * v_i(ji,jj,jl) / ( REAL( nlay_i ,wp ) * unit_fac ) |
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[4688] | 534 | END DO |
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| 535 | END DO |
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[825] | 536 | END DO |
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| 537 | END DO |
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| 538 | |
---|
[2715] | 539 | ! |
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[4688] | 540 | CALL wrk_dealloc( jpij, jcat ) ! integer |
---|
[3294] | 541 | CALL wrk_dealloc( jpij, zswinew, zv_newice, za_newice, zh_newice, ze_newice, zs_newice, zo_newice ) |
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[4869] | 542 | CALL wrk_dealloc( jpij, zdv_res, zda_res, zat_i_1d, zv_frazb, zvrel_1d ) |
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[4872] | 543 | CALL wrk_dealloc( jpij,jpl, zv_b, za_b, za_i_1d, zv_i_1d, zoa_i_1d, zsmv_i_1d ) |
---|
[4873] | 544 | CALL wrk_dealloc( jpij,nlay_i+1,jpl, ze_i_1d ) |
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[4688] | 545 | CALL wrk_dealloc( jpi,jpj, zvrel ) |
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[2715] | 546 | ! |
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[825] | 547 | END SUBROUTINE lim_thd_lac |
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| 548 | |
---|
| 549 | #else |
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[2715] | 550 | !!---------------------------------------------------------------------- |
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| 551 | !! Default option NO LIM3 sea-ice model |
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| 552 | !!---------------------------------------------------------------------- |
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[825] | 553 | CONTAINS |
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| 554 | SUBROUTINE lim_thd_lac ! Empty routine |
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| 555 | END SUBROUTINE lim_thd_lac |
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| 556 | #endif |
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[2715] | 557 | |
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| 558 | !!====================================================================== |
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[825] | 559 | END MODULE limthd_lac |
---|