[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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| 31 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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[921] | 32 | |
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[825] | 33 | IMPLICIT NONE |
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| 34 | PRIVATE |
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| 35 | |
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| 36 | PUBLIC lim_thd_lac ! called by lim_thd |
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| 37 | |
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[2715] | 38 | REAL(wp) :: epsi20 = 1e-20_wp ! constant values |
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| 39 | REAL(wp) :: epsi13 = 1e-13_wp ! |
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| 40 | REAL(wp) :: epsi11 = 1e-11_wp ! |
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| 41 | REAL(wp) :: epsi10 = 1e-10_wp ! |
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| 42 | REAL(wp) :: epsi06 = 1e-06_wp ! |
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| 43 | REAL(wp) :: epsi03 = 1e-03_wp ! |
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| 44 | REAL(wp) :: zzero = 0._wp ! |
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| 45 | REAL(wp) :: zone = 1._wp ! |
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[825] | 46 | |
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| 47 | !!---------------------------------------------------------------------- |
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[3625] | 48 | !! NEMO/LIM3 3.4 , UCL - NEMO Consortium (2011) |
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[1156] | 49 | !! $Id$ |
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[2715] | 50 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[825] | 51 | !!---------------------------------------------------------------------- |
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| 52 | CONTAINS |
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[921] | 53 | |
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[825] | 54 | SUBROUTINE lim_thd_lac |
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| 55 | !!------------------------------------------------------------------- |
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| 56 | !! *** ROUTINE lim_thd_lac *** |
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| 57 | !! |
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| 58 | !! ** Purpose : Computation of the evolution of the ice thickness and |
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| 59 | !! concentration as a function of the heat balance in the leads. |
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| 60 | !! It is only used for lateral accretion |
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| 61 | !! |
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| 62 | !! ** Method : Ice is formed in the open water when ocean lose heat |
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| 63 | !! (heat budget of open water Bl is negative) . |
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| 64 | !! Computation of the increase of 1-A (ice concentration) fol- |
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| 65 | !! lowing the law : |
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| 66 | !! (dA/dt)acc = F[ (1-A)/(1-a) ] * [ Bl / (Li*h0) ] |
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| 67 | !! where - h0 is the thickness of ice created in the lead |
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| 68 | !! - a is a minimum fraction for leads |
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| 69 | !! - F is a monotonic non-increasing function defined as: |
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| 70 | !! F(X)=( 1 - X**exld )**(1.0/exld) |
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| 71 | !! - exld is the exponent closure rate (=2 default val.) |
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| 72 | !! |
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| 73 | !! ** Action : - Adjustment of snow and ice thicknesses and heat |
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| 74 | !! content in brine pockets |
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| 75 | !! - Updating ice internal temperature |
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| 76 | !! - Computation of variation of ice volume and mass |
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| 77 | !! - Computation of frldb after lateral accretion and |
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| 78 | !! update ht_s_b, ht_i_b and tbif_1d(:,:) |
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| 79 | !!------------------------------------------------------------------------ |
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[3625] | 80 | INTEGER :: ji,jj,jk,jl,jm ! dummy loop indices |
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| 81 | INTEGER :: layer, nbpac ! local integers |
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| 82 | INTEGER :: zji, zjj, iter ! - - |
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| 83 | REAL(wp) :: ztmelts, zdv, zqold, zfrazb, zweight, zalphai, zindb, zde ! local scalars |
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[2715] | 84 | REAL(wp) :: zgamafr, zvfrx, zvgx, ztaux, ztwogp, zf , zhicol_new ! - - |
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| 85 | REAL(wp) :: ztenagm, zvfry, zvgy, ztauy, zvrel2, zfp, zsqcd , zhicrit ! - - |
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[3625] | 86 | REAL(wp) :: zcoef ! - - |
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[2715] | 87 | LOGICAL :: iterate_frazil ! iterate frazil ice collection thickness |
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| 88 | CHARACTER (len = 15) :: fieldid |
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| 89 | ! |
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[3294] | 90 | INTEGER , POINTER, DIMENSION(:) :: zcatac ! indexes of categories where new ice grows |
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| 91 | REAL(wp), POINTER, DIMENSION(:) :: zswinew ! switch for new ice or not |
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[825] | 92 | |
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[3294] | 93 | REAL(wp), POINTER, DIMENSION(:) :: zv_newice ! volume of accreted ice |
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| 94 | REAL(wp), POINTER, DIMENSION(:) :: za_newice ! fractional area of accreted ice |
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| 95 | REAL(wp), POINTER, DIMENSION(:) :: zh_newice ! thickness of accreted ice |
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| 96 | REAL(wp), POINTER, DIMENSION(:) :: ze_newice ! heat content of accreted ice |
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| 97 | REAL(wp), POINTER, DIMENSION(:) :: zs_newice ! salinity of accreted ice |
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| 98 | REAL(wp), POINTER, DIMENSION(:) :: zo_newice ! age of accreted ice |
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| 99 | REAL(wp), POINTER, DIMENSION(:) :: zdv_res ! residual volume in case of excessive heat budget |
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| 100 | REAL(wp), POINTER, DIMENSION(:) :: zda_res ! residual area in case of excessive heat budget |
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| 101 | REAL(wp), POINTER, DIMENSION(:) :: zat_i_ac ! total ice fraction |
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| 102 | REAL(wp), POINTER, DIMENSION(:) :: zat_i_lev ! total ice fraction for level ice only (type 1) |
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| 103 | REAL(wp), POINTER, DIMENSION(:) :: zdh_frazb ! accretion of frazil ice at the ice bottom |
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| 104 | REAL(wp), POINTER, DIMENSION(:) :: zvrel_ac ! relative ice / frazil velocity (1D vector) |
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[825] | 105 | |
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[3294] | 106 | REAL(wp), POINTER, DIMENSION(:,:) :: zhice_old ! previous ice thickness |
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| 107 | REAL(wp), POINTER, DIMENSION(:,:) :: zdummy ! dummy thickness of new ice |
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| 108 | REAL(wp), POINTER, DIMENSION(:,:) :: zdhicbot ! thickness of new ice which is accreted vertically |
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| 109 | REAL(wp), POINTER, DIMENSION(:,:) :: zv_old ! old volume of ice in category jl |
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| 110 | REAL(wp), POINTER, DIMENSION(:,:) :: za_old ! old area of ice in category jl |
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| 111 | REAL(wp), POINTER, DIMENSION(:,:) :: za_i_ac ! 1-D version of a_i |
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| 112 | REAL(wp), POINTER, DIMENSION(:,:) :: zv_i_ac ! 1-D version of v_i |
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| 113 | REAL(wp), POINTER, DIMENSION(:,:) :: zoa_i_ac ! 1-D version of oa_i |
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| 114 | REAL(wp), POINTER, DIMENSION(:,:) :: zsmv_i_ac ! 1-D version of smv_i |
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[825] | 115 | |
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[3294] | 116 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ze_i_ac !: 1-D version of e_i |
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[825] | 117 | |
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[3294] | 118 | REAL(wp), POINTER, DIMENSION(:) :: zqbgow ! heat budget of the open water (negative) |
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| 119 | REAL(wp), POINTER, DIMENSION(:) :: zdhex ! excessively thick accreted sea ice (hlead-hice) |
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[825] | 120 | |
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[3294] | 121 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zqm0 ! old layer-system heat content |
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| 122 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zthick0 ! old ice thickness |
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[825] | 123 | |
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[3294] | 124 | REAL(wp), POINTER, DIMENSION(:,:) :: vt_i_init, vt_i_final ! ice volume summed over categories |
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| 125 | REAL(wp), POINTER, DIMENSION(:,:) :: vt_s_init, vt_s_final ! snow volume summed over categories |
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| 126 | REAL(wp), POINTER, DIMENSION(:,:) :: et_i_init, et_i_final ! ice energy summed over categories |
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| 127 | REAL(wp), POINTER, DIMENSION(:,:) :: et_s_init ! snow energy summed over categories |
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| 128 | REAL(wp), POINTER, DIMENSION(:,:) :: zvrel ! relative ice / frazil velocity |
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| 129 | !!-----------------------------------------------------------------------! |
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[825] | 130 | |
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[3294] | 131 | CALL wrk_alloc( jpij, zcatac ) ! integer |
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| 132 | CALL wrk_alloc( jpij, zswinew, zv_newice, za_newice, zh_newice, ze_newice, zs_newice, zo_newice ) |
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| 133 | CALL wrk_alloc( jpij, zdv_res, zda_res, zat_i_ac, zat_i_lev, zdh_frazb, zvrel_ac, zqbgow, zdhex ) |
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| 134 | CALL wrk_alloc( jpij,jpl, zhice_old, zdummy, zdhicbot, zv_old, za_old, za_i_ac, zv_i_ac, zoa_i_ac, zsmv_i_ac ) |
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| 135 | CALL wrk_alloc( jpij,jkmax,jpl, ze_i_ac ) |
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| 136 | CALL wrk_alloc( jpij,jkmax+1,jpl, zqm0, zthick0 ) |
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| 137 | CALL wrk_alloc( jpi,jpj, vt_i_init, vt_i_final, vt_s_init, vt_s_final, et_i_init, et_i_final, et_s_init, zvrel ) |
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| 138 | |
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[2715] | 139 | et_i_init(:,:) = 0._wp |
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| 140 | et_s_init(:,:) = 0._wp |
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| 141 | vt_i_init(:,:) = 0._wp |
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| 142 | vt_s_init(:,:) = 0._wp |
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[825] | 143 | |
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[921] | 144 | !------------------------------------------------------------------------------! |
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| 145 | ! 1) Conservation check and changes in each ice category |
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| 146 | !------------------------------------------------------------------------------! |
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[3625] | 147 | IF( con_i ) THEN |
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| 148 | CALL lim_column_sum ( jpl, v_i , vt_i_init) |
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| 149 | CALL lim_column_sum ( jpl, v_s , vt_s_init) |
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| 150 | CALL lim_column_sum_energy ( jpl, nlay_i , e_i , et_i_init) |
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| 151 | CALL lim_column_sum ( jpl, e_s(:,:,1,:) , et_s_init) |
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[834] | 152 | ENDIF |
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[825] | 153 | |
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[921] | 154 | !------------------------------------------------------------------------------| |
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| 155 | ! 2) Convert units for ice internal energy |
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| 156 | !------------------------------------------------------------------------------| |
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[825] | 157 | DO jl = 1, jpl |
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[921] | 158 | DO jk = 1, nlay_i |
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| 159 | DO jj = 1, jpj |
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| 160 | DO ji = 1, jpi |
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| 161 | !Energy of melting q(S,T) [J.m-3] |
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[3625] | 162 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) / MAX( area(ji,jj) * v_i(ji,jj,jl) , epsi10 ) * nlay_i |
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| 163 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , -v_i(ji,jj,jl) ) ) !0 if no ice and 1 if yes |
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| 164 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) * unit_fac * zindb |
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[921] | 165 | END DO |
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[825] | 166 | END DO |
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[921] | 167 | END DO |
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[825] | 168 | END DO |
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| 169 | |
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[921] | 170 | !------------------------------------------------------------------------------! |
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| 171 | ! 3) Collection thickness of ice formed in leads and polynyas |
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| 172 | !------------------------------------------------------------------------------! |
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[865] | 173 | ! hicol is the thickness of new ice formed in open water |
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| 174 | ! hicol can be either prescribed (frazswi = 0) |
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| 175 | ! or computed (frazswi = 1) |
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[825] | 176 | ! Frazil ice forms in open water, is transported by wind |
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| 177 | ! accumulates at the edge of the consolidated ice edge |
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| 178 | ! where it forms aggregates of a specific thickness called |
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| 179 | ! collection thickness. |
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| 180 | |
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[865] | 181 | ! Note : the following algorithm currently breaks vectorization |
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| 182 | ! |
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| 183 | |
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[3625] | 184 | zvrel(:,:) = 0._wp |
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[825] | 185 | |
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| 186 | ! Default new ice thickness |
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[3625] | 187 | hicol(:,:) = hiccrit(1) |
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[825] | 188 | |
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[3625] | 189 | IF( fraz_swi == 1._wp ) THEN |
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[825] | 190 | |
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[921] | 191 | !-------------------- |
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| 192 | ! Physical constants |
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| 193 | !-------------------- |
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[3625] | 194 | hicol(:,:) = 0._wp |
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[825] | 195 | |
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[921] | 196 | zhicrit = 0.04 ! frazil ice thickness |
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| 197 | ztwogp = 2. * rau0 / ( grav * 0.3 * ( rau0 - rhoic ) ) ! reduced grav |
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| 198 | zsqcd = 1.0 / SQRT( 1.3 * cai ) ! 1/SQRT(airdensity*drag) |
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| 199 | zgamafr = 0.03 |
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[825] | 200 | |
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[921] | 201 | DO jj = 1, jpj |
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| 202 | DO ji = 1, jpi |
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[825] | 203 | |
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[921] | 204 | IF ( tms(ji,jj) * ( qcmif(ji,jj) - qldif(ji,jj) ) > 0.e0 ) THEN |
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| 205 | !------------- |
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| 206 | ! Wind stress |
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| 207 | !------------- |
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| 208 | ! C-grid wind stress components |
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[3625] | 209 | ztaux = ( utau_ice(ji-1,jj ) * tmu(ji-1,jj ) & |
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| 210 | & + utau_ice(ji ,jj ) * tmu(ji ,jj ) ) * 0.5_wp |
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| 211 | ztauy = ( vtau_ice(ji ,jj-1) * tmv(ji ,jj-1) & |
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| 212 | & + vtau_ice(ji ,jj ) * tmv(ji ,jj ) ) * 0.5_wp |
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[921] | 213 | ! Square root of wind stress |
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| 214 | ztenagm = SQRT( SQRT( ztaux * ztaux + ztauy * ztauy ) ) |
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[825] | 215 | |
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[921] | 216 | !--------------------- |
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| 217 | ! Frazil ice velocity |
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| 218 | !--------------------- |
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[2715] | 219 | zvfrx = zgamafr * zsqcd * ztaux / MAX(ztenagm,epsi10) |
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| 220 | zvfry = zgamafr * zsqcd * ztauy / MAX(ztenagm,epsi10) |
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[825] | 221 | |
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[921] | 222 | !------------------- |
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| 223 | ! Pack ice velocity |
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| 224 | !------------------- |
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| 225 | ! C-grid ice velocity |
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[3625] | 226 | zindb = MAX( 0._wp, SIGN( 1._wp , at_i(ji,jj) ) ) |
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| 227 | zvgx = zindb * ( u_ice(ji-1,jj ) * tmu(ji-1,jj ) & |
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| 228 | & + u_ice(ji,jj ) * tmu(ji ,jj ) ) * 0.5_wp |
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| 229 | zvgy = zindb * ( v_ice(ji ,jj-1) * tmv(ji ,jj-1) & |
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| 230 | & + v_ice(ji,jj ) * tmv(ji ,jj ) ) * 0.5_wp |
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[825] | 231 | |
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[921] | 232 | !----------------------------------- |
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| 233 | ! Relative frazil/pack ice velocity |
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| 234 | !----------------------------------- |
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| 235 | ! absolute relative velocity |
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[3625] | 236 | zvrel2 = MAX( ( zvfrx - zvgx ) * ( zvfrx - zvgx ) & |
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| 237 | & + ( zvfry - zvgy ) * ( zvfry - zvgy ) , 0.15 * 0.15 ) |
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| 238 | zvrel(ji,jj) = SQRT( zvrel2 ) |
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[825] | 239 | |
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[921] | 240 | !--------------------- |
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| 241 | ! Iterative procedure |
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| 242 | !--------------------- |
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| 243 | hicol(ji,jj) = zhicrit + 0.1 |
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[3625] | 244 | hicol(ji,jj) = zhicrit + hicol(ji,jj) & |
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| 245 | & / ( hicol(ji,jj) * hicol(ji,jj) - zhicrit * zhicrit ) * ztwogp * zvrel2 |
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[825] | 246 | |
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[3625] | 247 | !!gm better coding: above: hicol(ji,jj) * hicol(ji,jj) = (zhicrit + 0.1)*(zhicrit + 0.1) |
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| 248 | !!gm = zhicrit**2 + 0.2*zhicrit +0.01 |
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| 249 | !!gm therefore the 2 lines with hicol can be replaced by 1 line: |
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| 250 | !!gm hicol(ji,jj) = zhicrit + (zhicrit + 0.1) / ( 0.2 * zhicrit + 0.01 ) * ztwogp * zvrel2 |
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| 251 | !!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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| 252 | |
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[921] | 253 | iter = 1 |
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| 254 | iterate_frazil = .true. |
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[825] | 255 | |
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[921] | 256 | DO WHILE ( iter .LT. 100 .AND. iterate_frazil ) |
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| 257 | zf = ( hicol(ji,jj) - zhicrit ) * ( hicol(ji,jj)**2 - zhicrit**2 ) & |
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| 258 | - hicol(ji,jj) * zhicrit * ztwogp * zvrel2 |
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| 259 | zfp = ( hicol(ji,jj) - zhicrit ) * ( 3.0*hicol(ji,jj) + zhicrit ) & |
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| 260 | - zhicrit * ztwogp * zvrel2 |
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| 261 | zhicol_new = hicol(ji,jj) - zf/zfp |
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| 262 | hicol(ji,jj) = zhicol_new |
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[825] | 263 | |
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[921] | 264 | iter = iter + 1 |
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[825] | 265 | |
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[921] | 266 | END DO ! do while |
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[825] | 267 | |
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[921] | 268 | ENDIF ! end of selection of pixels where ice forms |
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[825] | 269 | |
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[921] | 270 | END DO ! loop on ji ends |
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| 271 | END DO ! loop on jj ends |
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[825] | 272 | |
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| 273 | ENDIF ! End of computation of frazil ice collection thickness |
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| 274 | |
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[921] | 275 | !------------------------------------------------------------------------------! |
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| 276 | ! 4) Identify grid points where new ice forms |
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| 277 | !------------------------------------------------------------------------------! |
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[825] | 278 | |
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| 279 | !------------------------------------- |
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| 280 | ! Select points for new ice formation |
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| 281 | !------------------------------------- |
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| 282 | ! This occurs if open water energy budget is negative |
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| 283 | nbpac = 0 |
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| 284 | DO jj = 1, jpj |
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| 285 | DO ji = 1, jpi |
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[3625] | 286 | IF ( tms(ji,jj) * ( qcmif(ji,jj) - qldif(ji,jj) ) > 0._wp ) THEN |
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[825] | 287 | nbpac = nbpac + 1 |
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| 288 | npac( nbpac ) = (jj - 1) * jpi + ji |
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[3625] | 289 | IF( ji == jiindx .AND. jj == jjindx ) jiindex_1d = nbpac |
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[825] | 290 | ENDIF |
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| 291 | END DO |
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| 292 | END DO |
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| 293 | |
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[3625] | 294 | IF( ln_nicep ) WRITE(numout,*) 'lim_thd_lac : nbpac = ', nbpac |
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[825] | 295 | |
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| 296 | !------------------------------ |
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| 297 | ! Move from 2-D to 1-D vectors |
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| 298 | !------------------------------ |
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| 299 | ! If ocean gains heat do nothing |
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| 300 | ! 0therwise compute new ice formation |
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| 301 | |
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| 302 | IF ( nbpac > 0 ) THEN |
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| 303 | |
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[3625] | 304 | CALL tab_2d_1d( nbpac, zat_i_ac (1:nbpac) , at_i , jpi, jpj, npac(1:nbpac) ) |
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[921] | 305 | DO jl = 1, jpl |
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[3625] | 306 | CALL tab_2d_1d( nbpac, za_i_ac (1:nbpac,jl), a_i (:,:,jl), jpi, jpj, npac(1:nbpac) ) |
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| 307 | CALL tab_2d_1d( nbpac, zv_i_ac (1:nbpac,jl), v_i (:,:,jl), jpi, jpj, npac(1:nbpac) ) |
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| 308 | CALL tab_2d_1d( nbpac, zoa_i_ac (1:nbpac,jl), oa_i (:,:,jl), jpi, jpj, npac(1:nbpac) ) |
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| 309 | CALL tab_2d_1d( nbpac, zsmv_i_ac(1:nbpac,jl), smv_i(:,:,jl), jpi, jpj, npac(1:nbpac) ) |
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[921] | 310 | DO jk = 1, nlay_i |
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[3625] | 311 | CALL tab_2d_1d( nbpac, ze_i_ac(1:nbpac,jk,jl), e_i(:,:,jk,jl) , jpi, jpj, npac(1:nbpac) ) |
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[921] | 312 | END DO ! jk |
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| 313 | END DO ! jl |
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[825] | 314 | |
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[3625] | 315 | CALL tab_2d_1d( nbpac, qldif_1d (1:nbpac) , qldif , jpi, jpj, npac(1:nbpac) ) |
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| 316 | CALL tab_2d_1d( nbpac, qcmif_1d (1:nbpac) , qcmif , jpi, jpj, npac(1:nbpac) ) |
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| 317 | CALL tab_2d_1d( nbpac, t_bo_b (1:nbpac) , t_bo , jpi, jpj, npac(1:nbpac) ) |
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| 318 | CALL tab_2d_1d( nbpac, sfx_thd_1d(1:nbpac) , sfx_thd, jpi, jpj, npac(1:nbpac) ) |
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| 319 | CALL tab_2d_1d( nbpac, rdm_ice_1d(1:nbpac) , rdm_ice, jpi, jpj, npac(1:nbpac) ) |
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| 320 | CALL tab_2d_1d( nbpac, hicol_b (1:nbpac) , hicol , jpi, jpj, npac(1:nbpac) ) |
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| 321 | CALL tab_2d_1d( nbpac, zvrel_ac (1:nbpac) , zvrel , jpi, jpj, npac(1:nbpac) ) |
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[834] | 322 | |
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[921] | 323 | !------------------------------------------------------------------------------! |
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| 324 | ! 5) Compute thickness, salinity, enthalpy, age, area and volume of new ice |
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| 325 | !------------------------------------------------------------------------------! |
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[825] | 326 | |
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[921] | 327 | !---------------------- |
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| 328 | ! Thickness of new ice |
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| 329 | !---------------------- |
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| 330 | DO ji = 1, nbpac |
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[3625] | 331 | zh_newice(ji) = hiccrit(1) |
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[921] | 332 | END DO |
---|
[3625] | 333 | IF( fraz_swi == 1.0 ) zh_newice(:) = hicol_b(:) |
---|
[825] | 334 | |
---|
[921] | 335 | !---------------------- |
---|
| 336 | ! Salinity of new ice |
---|
| 337 | !---------------------- |
---|
[825] | 338 | |
---|
[3625] | 339 | SELECT CASE ( num_sal ) |
---|
| 340 | CASE ( 1 ) ! Sice = constant |
---|
| 341 | zs_newice(:) = bulk_sal |
---|
| 342 | CASE ( 2 ) ! Sice = F(z,t) [Vancoppenolle et al (2005)] |
---|
[921] | 343 | DO ji = 1, nbpac |
---|
[3625] | 344 | zji = MOD( npac(ji) - 1 , jpi ) + 1 |
---|
| 345 | zjj = ( npac(ji) - 1 ) / jpi + 1 |
---|
| 346 | zs_newice(ji) = MIN( 4.606 + 0.91 / zh_newice(ji) , s_i_max , 0.5 * sss_m(zji,zjj) ) |
---|
| 347 | END DO |
---|
| 348 | CASE ( 3 ) ! Sice = F(z) [multiyear ice] |
---|
| 349 | zs_newice(:) = 2.3 |
---|
| 350 | END SELECT |
---|
[825] | 351 | |
---|
| 352 | |
---|
[921] | 353 | !------------------------- |
---|
| 354 | ! Heat content of new ice |
---|
| 355 | !------------------------- |
---|
| 356 | ! We assume that new ice is formed at the seawater freezing point |
---|
| 357 | DO ji = 1, nbpac |
---|
[3625] | 358 | ztmelts = - tmut * zs_newice(ji) + rtt ! Melting point (K) |
---|
| 359 | ze_newice(ji) = rhoic * ( cpic * ( ztmelts - t_bo_b(ji) ) & |
---|
| 360 | & + lfus * ( 1.0 - ( ztmelts - rtt ) / ( t_bo_b(ji) - rtt ) ) & |
---|
| 361 | & - rcp * ( ztmelts - rtt ) ) |
---|
| 362 | ze_newice(ji) = MAX( ze_newice(ji) , 0._wp ) & |
---|
| 363 | & + MAX( 0.0 , SIGN( 1.0 , - ze_newice(ji) ) ) * rhoic * lfus |
---|
[921] | 364 | END DO ! ji |
---|
| 365 | !---------------- |
---|
| 366 | ! Age of new ice |
---|
| 367 | !---------------- |
---|
| 368 | DO ji = 1, nbpac |
---|
[3625] | 369 | zo_newice(ji) = 0._wp |
---|
[921] | 370 | END DO ! ji |
---|
[825] | 371 | |
---|
[921] | 372 | !-------------------------- |
---|
| 373 | ! Open water energy budget |
---|
| 374 | !-------------------------- |
---|
| 375 | DO ji = 1, nbpac |
---|
[3625] | 376 | zqbgow(ji) = qldif_1d(ji) - qcmif_1d(ji) !<0 |
---|
[921] | 377 | END DO ! ji |
---|
[825] | 378 | |
---|
[921] | 379 | !------------------- |
---|
| 380 | ! Volume of new ice |
---|
| 381 | !------------------- |
---|
| 382 | DO ji = 1, nbpac |
---|
[3625] | 383 | zv_newice(ji) = - zqbgow(ji) / ze_newice(ji) |
---|
[825] | 384 | |
---|
[921] | 385 | ! A fraction zfrazb of frazil ice is accreted at the ice bottom |
---|
[3625] | 386 | zfrazb = ( TANH ( Cfrazb * ( zvrel_ac(ji) - vfrazb ) ) + 1.0 ) * 0.5 * maxfrazb |
---|
| 387 | zdh_frazb(ji) = zfrazb * zv_newice(ji) |
---|
[921] | 388 | zv_newice(ji) = ( 1.0 - zfrazb ) * zv_newice(ji) |
---|
| 389 | END DO |
---|
[865] | 390 | |
---|
[921] | 391 | !--------------------------------- |
---|
| 392 | ! Salt flux due to new ice growth |
---|
| 393 | !--------------------------------- |
---|
[3625] | 394 | ! note that for constant salinity zs_newice() = bulk_sal (see top of the subroutine) |
---|
| 395 | DO ji = 1, nbpac |
---|
| 396 | sfx_thd_1d(ji) = sfx_thd_1d(ji) - zs_newice(ji) * rhoic * zv_newice(ji) * r1_rdtice |
---|
| 397 | rdm_ice_1d(ji) = rdm_ice_1d(ji) + rhoic * zv_newice(ji) |
---|
| 398 | END DO ! ji |
---|
[825] | 399 | |
---|
[921] | 400 | !------------------------------------ |
---|
| 401 | ! Diags for energy conservation test |
---|
| 402 | !------------------------------------ |
---|
| 403 | DO ji = 1, nbpac |
---|
[3625] | 404 | zji = MOD( npac(ji) - 1 , jpi ) + 1 |
---|
| 405 | zjj = ( npac(ji) - 1 ) / jpi + 1 |
---|
| 406 | ! |
---|
| 407 | zde = ze_newice(ji) / unit_fac * area(zji,zjj) * zv_newice(ji) |
---|
| 408 | ! |
---|
| 409 | vt_i_init(zji,zjj) = vt_i_init(zji,zjj) + zv_newice(ji) ! volume |
---|
| 410 | et_i_init(zji,zjj) = et_i_init(zji,zjj) + zde ! Energy |
---|
| 411 | |
---|
[921] | 412 | END DO |
---|
[825] | 413 | |
---|
[921] | 414 | ! keep new ice volume in memory |
---|
[3625] | 415 | CALL tab_1d_2d( nbpac, v_newice , npac(1:nbpac), zv_newice(1:nbpac) , jpi, jpj ) |
---|
[825] | 416 | |
---|
[921] | 417 | !----------------- |
---|
| 418 | ! Area of new ice |
---|
| 419 | !----------------- |
---|
| 420 | DO ji = 1, nbpac |
---|
[3625] | 421 | zji = MOD( npac(ji) - 1 , jpi ) + 1 |
---|
| 422 | zjj = ( npac(ji) - 1 ) / jpi + 1 |
---|
| 423 | za_newice(ji) = zv_newice(ji) / zh_newice(ji) |
---|
| 424 | diag_lat_gr(zji,zjj) = zv_newice(ji) * r1_rdtice |
---|
[921] | 425 | END DO !ji |
---|
[825] | 426 | |
---|
[921] | 427 | !------------------------------------------------------------------------------! |
---|
| 428 | ! 6) Redistribute new ice area and volume into ice categories ! |
---|
| 429 | !------------------------------------------------------------------------------! |
---|
[825] | 430 | |
---|
[921] | 431 | !----------------------------------------- |
---|
| 432 | ! Keep old ice areas and volume in memory |
---|
| 433 | !----------------------------------------- |
---|
| 434 | zv_old(:,:) = zv_i_ac(:,:) |
---|
| 435 | za_old(:,:) = za_i_ac(:,:) |
---|
[825] | 436 | |
---|
[921] | 437 | !------------------------------------------- |
---|
| 438 | ! Compute excessive new ice area and volume |
---|
| 439 | !------------------------------------------- |
---|
| 440 | ! If lateral ice growth gives an ice concentration gt 1, then |
---|
[3625] | 441 | ! we keep the excessive volume in memory and attribute it later to bottom accretion |
---|
[921] | 442 | DO ji = 1, nbpac |
---|
[3625] | 443 | IF ( za_newice(ji) > ( 1._wp - zat_i_ac(ji) ) ) THEN |
---|
| 444 | zda_res(ji) = za_newice(ji) - (1.0 - zat_i_ac(ji) ) |
---|
| 445 | zdv_res(ji) = zda_res (ji) * zh_newice(ji) |
---|
| 446 | za_newice(ji) = za_newice(ji) - zda_res (ji) |
---|
| 447 | zv_newice(ji) = zv_newice(ji) - zdv_res (ji) |
---|
[921] | 448 | ELSE |
---|
[3625] | 449 | zda_res(ji) = 0._wp |
---|
| 450 | zdv_res(ji) = 0._wp |
---|
[921] | 451 | ENDIF |
---|
| 452 | END DO ! ji |
---|
[825] | 453 | |
---|
[921] | 454 | !------------------------------------------------ |
---|
| 455 | ! Laterally redistribute new ice volume and area |
---|
| 456 | !------------------------------------------------ |
---|
[2715] | 457 | zat_i_ac(:) = 0._wp |
---|
[921] | 458 | DO jl = 1, jpl |
---|
| 459 | DO ji = 1, nbpac |
---|
[3625] | 460 | IF( hi_max (jl-1) < zh_newice(ji) .AND. & |
---|
| 461 | & zh_newice(ji) <= hi_max (jl) ) THEN |
---|
[2715] | 462 | za_i_ac (ji,jl) = za_i_ac (ji,jl) + za_newice(ji) |
---|
| 463 | zv_i_ac (ji,jl) = zv_i_ac (ji,jl) + zv_newice(ji) |
---|
| 464 | zat_i_ac(ji) = zat_i_ac(ji) + za_i_ac (ji,jl) |
---|
| 465 | zcatac (ji) = jl |
---|
[921] | 466 | ENDIF |
---|
[3625] | 467 | END DO |
---|
| 468 | END DO |
---|
[825] | 469 | |
---|
[921] | 470 | !---------------------------------- |
---|
| 471 | ! Heat content - lateral accretion |
---|
| 472 | !---------------------------------- |
---|
| 473 | DO ji = 1, nbpac |
---|
[2715] | 474 | jl = zcatac(ji) ! categroy in which new ice is put |
---|
| 475 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , -za_old(ji,jl) ) ) ! zindb=1 if ice =0 otherwise |
---|
| 476 | zhice_old(ji,jl) = zv_old(ji,jl) / MAX( za_old(ji,jl) , epsi10 ) * zindb ! old ice thickness |
---|
| 477 | zdhex (ji) = MAX( 0._wp , zh_newice(ji) - zhice_old(ji,jl) ) ! difference in thickness |
---|
| 478 | zswinew (ji) = MAX( 0._wp , SIGN( 1._wp , - za_old(ji,jl) + epsi11 ) ) ! ice totally new in jl category |
---|
[921] | 479 | END DO |
---|
[825] | 480 | |
---|
[921] | 481 | DO jk = 1, nlay_i |
---|
| 482 | DO ji = 1, nbpac |
---|
| 483 | jl = zcatac(ji) |
---|
[3625] | 484 | zqold = ze_i_ac(ji,jk,jl) ! [ J.m-3 ] |
---|
[2715] | 485 | zalphai = MIN( zhice_old(ji,jl) * jk / nlay_i , zh_newice(ji) ) & |
---|
| 486 | & - MIN( zhice_old(ji,jl) * ( jk - 1 ) / nlay_i , zh_newice(ji) ) |
---|
| 487 | ze_i_ac(ji,jk,jl) = zswinew(ji) * ze_newice(ji) & |
---|
| 488 | + ( 1.0 - zswinew(ji) ) * ( za_old(ji,jl) * zqold * zhice_old(ji,jl) / nlay_i & |
---|
| 489 | + za_newice(ji) * ze_newice(ji) * zalphai & |
---|
[3625] | 490 | + za_newice(ji) * ze_newice(ji) * zdhex(ji) / nlay_i ) / ( zv_i_ac(ji,jl) / nlay_i ) |
---|
[2715] | 491 | END DO |
---|
| 492 | END DO |
---|
[825] | 493 | |
---|
[921] | 494 | !----------------------------------------------- |
---|
| 495 | ! Add excessive volume of new ice at the bottom |
---|
| 496 | !----------------------------------------------- |
---|
| 497 | ! If the ice concentration exceeds 1, the remaining volume of new ice |
---|
| 498 | ! is equally redistributed among all ice categories in which there is |
---|
| 499 | ! ice |
---|
[825] | 500 | |
---|
[921] | 501 | ! Fraction of level ice |
---|
| 502 | jm = 1 |
---|
[2715] | 503 | zat_i_lev(:) = 0._wp |
---|
[825] | 504 | |
---|
[921] | 505 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
---|
| 506 | DO ji = 1, nbpac |
---|
| 507 | zat_i_lev(ji) = zat_i_lev(ji) + za_i_ac(ji,jl) |
---|
| 508 | END DO |
---|
| 509 | END DO |
---|
[825] | 510 | |
---|
[921] | 511 | IF( ln_nicep ) WRITE(numout,*) ' zv_i_ac : ', zv_i_ac(jiindx, 1:jpl) |
---|
| 512 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
---|
| 513 | DO ji = 1, nbpac |
---|
[2715] | 514 | zindb = MAX( 0._wp, SIGN( 1._wp , zdv_res(ji) ) ) |
---|
| 515 | zv_i_ac(ji,jl) = zv_i_ac(ji,jl) + zindb * zdv_res(ji) * za_i_ac(ji,jl) / MAX( zat_i_lev(ji) , epsi06 ) |
---|
| 516 | END DO |
---|
| 517 | END DO |
---|
| 518 | IF( ln_nicep ) WRITE(numout,*) ' zv_i_ac : ', zv_i_ac(jiindx, 1:jpl) |
---|
[825] | 519 | |
---|
[921] | 520 | !--------------------------------- |
---|
| 521 | ! Heat content - bottom accretion |
---|
| 522 | !--------------------------------- |
---|
| 523 | jm = 1 |
---|
| 524 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
---|
| 525 | DO ji = 1, nbpac |
---|
[2715] | 526 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , - za_i_ac(ji,jl ) ) ) ! zindb=1 if ice =0 otherwise |
---|
| 527 | zhice_old(ji,jl) = zv_i_ac(ji,jl) / MAX( za_i_ac(ji,jl) , epsi10 ) * zindb |
---|
| 528 | zdhicbot (ji,jl) = zdv_res(ji) / MAX( za_i_ac(ji,jl) , epsi10 ) * zindb & |
---|
| 529 | & + zindb * zdh_frazb(ji) ! frazil ice may coalesce |
---|
[3625] | 530 | zdummy(ji,jl) = zv_i_ac(ji,jl) / MAX( za_i_ac(ji,jl) , epsi10 ) * zindb ! thickness of residual ice |
---|
[2715] | 531 | END DO |
---|
| 532 | END DO |
---|
[825] | 533 | |
---|
[921] | 534 | ! old layers thicknesses and enthalpies |
---|
| 535 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
---|
| 536 | DO jk = 1, nlay_i |
---|
| 537 | DO ji = 1, nbpac |
---|
[2715] | 538 | zthick0(ji,jk,jl) = zhice_old(ji,jl) / nlay_i |
---|
| 539 | zqm0 (ji,jk,jl) = ze_i_ac(ji,jk,jl) * zthick0(ji,jk,jl) |
---|
| 540 | END DO |
---|
| 541 | END DO |
---|
| 542 | END DO |
---|
| 543 | !!gm ??? why the previous do loop if ocerwriten by the following one ? |
---|
[921] | 544 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
---|
| 545 | DO ji = 1, nbpac |
---|
| 546 | zthick0(ji,nlay_i+1,jl) = zdhicbot(ji,jl) |
---|
[2715] | 547 | zqm0 (ji,nlay_i+1,jl) = ze_newice(ji) * zdhicbot(ji,jl) |
---|
[921] | 548 | END DO ! ji |
---|
| 549 | END DO ! jl |
---|
| 550 | |
---|
| 551 | ! Redistributing energy on the new grid |
---|
[2715] | 552 | ze_i_ac(:,:,:) = 0._wp |
---|
[921] | 553 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
---|
| 554 | DO jk = 1, nlay_i |
---|
| 555 | DO layer = 1, nlay_i + 1 |
---|
| 556 | DO ji = 1, nbpac |
---|
[2715] | 557 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , - za_i_ac(ji,jl) ) ) |
---|
[921] | 558 | ! Redistributing energy on the new grid |
---|
[2715] | 559 | zweight = MAX ( MIN( zhice_old(ji,jl) * layer , zdummy(ji,jl) * jk ) & |
---|
| 560 | & - MAX( zhice_old(ji,jl) * ( layer - 1 ) , zdummy(ji,jl) * ( jk - 1 ) ) , 0._wp ) & |
---|
| 561 | & /( MAX(nlay_i * zthick0(ji,layer,jl),epsi10) ) * zindb |
---|
| 562 | ze_i_ac(ji,jk,jl) = ze_i_ac(ji,jk,jl) + zweight * zqm0(ji,layer,jl) |
---|
[921] | 563 | END DO ! ji |
---|
| 564 | END DO ! layer |
---|
| 565 | END DO ! jk |
---|
| 566 | END DO ! jl |
---|
[825] | 567 | |
---|
[921] | 568 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
---|
| 569 | DO jk = 1, nlay_i |
---|
| 570 | DO ji = 1, nbpac |
---|
[2715] | 571 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , - zv_i_ac(ji,jl) ) ) |
---|
| 572 | ze_i_ac(ji,jk,jl) = ze_i_ac(ji,jk,jl) & |
---|
| 573 | & / MAX( zv_i_ac(ji,jl) , epsi10) * za_i_ac(ji,jl) * nlay_i * zindb |
---|
[921] | 574 | END DO |
---|
| 575 | END DO |
---|
| 576 | END DO |
---|
[825] | 577 | |
---|
[921] | 578 | !------------ |
---|
| 579 | ! Update age |
---|
| 580 | !------------ |
---|
| 581 | DO jl = 1, jpl |
---|
| 582 | DO ji = 1, nbpac |
---|
[2715] | 583 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , - za_i_ac(ji,jl) ) ) ! 0 if no ice and 1 if yes |
---|
| 584 | zoa_i_ac(ji,jl) = za_old(ji,jl) * zoa_i_ac(ji,jl) / MAX( za_i_ac(ji,jl) , epsi10 ) * zindb |
---|
| 585 | END DO |
---|
| 586 | END DO |
---|
[825] | 587 | |
---|
[921] | 588 | !----------------- |
---|
| 589 | ! Update salinity |
---|
| 590 | !----------------- |
---|
[3625] | 591 | IF( num_sal == 2 ) THEN ! Sice = F(z,t) |
---|
[921] | 592 | DO jl = 1, jpl |
---|
| 593 | DO ji = 1, nbpac |
---|
[3625] | 594 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , - zv_i_ac(ji,jl) ) ) ! 0 if no ice and 1 if yes |
---|
[2715] | 595 | zdv = zv_i_ac(ji,jl) - zv_old(ji,jl) |
---|
| 596 | zsmv_i_ac(ji,jl) = ( zsmv_i_ac(ji,jl) + zdv * zs_newice(ji) ) * zindb |
---|
| 597 | END DO |
---|
| 598 | END DO |
---|
| 599 | ENDIF |
---|
[825] | 600 | |
---|
[921] | 601 | !------------------------------------------------------------------------------! |
---|
| 602 | ! 8) Change 2D vectors to 1D vectors |
---|
| 603 | !------------------------------------------------------------------------------! |
---|
| 604 | DO jl = 1, jpl |
---|
[2715] | 605 | CALL tab_1d_2d( nbpac, a_i (:,:,jl), npac(1:nbpac), za_i_ac (1:nbpac,jl), jpi, jpj ) |
---|
| 606 | CALL tab_1d_2d( nbpac, v_i (:,:,jl), npac(1:nbpac), zv_i_ac (1:nbpac,jl), jpi, jpj ) |
---|
| 607 | CALL tab_1d_2d( nbpac, oa_i(:,:,jl), npac(1:nbpac), zoa_i_ac(1:nbpac,jl), jpi, jpj ) |
---|
[3625] | 608 | IF ( num_sal == 2 ) & |
---|
[2715] | 609 | CALL tab_1d_2d( nbpac, smv_i (:,:,jl), npac(1:nbpac), zsmv_i_ac(1:nbpac,jl) , jpi, jpj ) |
---|
[921] | 610 | DO jk = 1, nlay_i |
---|
[2715] | 611 | CALL tab_1d_2d( nbpac, e_i(:,:,jk,jl), npac(1:nbpac), ze_i_ac(1:nbpac,jk,jl), jpi, jpj ) |
---|
| 612 | END DO |
---|
| 613 | END DO |
---|
[3625] | 614 | CALL tab_1d_2d( nbpac, sfx_thd, npac(1:nbpac), sfx_thd_1d(1:nbpac), jpi, jpj ) |
---|
| 615 | CALL tab_1d_2d( nbpac, rdm_ice, npac(1:nbpac), rdm_ice_1d(1:nbpac), jpi, jpj ) |
---|
[2715] | 616 | ! |
---|
[921] | 617 | ENDIF ! nbpac > 0 |
---|
[825] | 618 | |
---|
[921] | 619 | !------------------------------------------------------------------------------! |
---|
| 620 | ! 9) Change units for e_i |
---|
| 621 | !------------------------------------------------------------------------------! |
---|
[825] | 622 | DO jl = 1, jpl |
---|
[2715] | 623 | DO jk = 1, nlay_i ! heat content in 10^9 Joules |
---|
[3625] | 624 | e_i(:,:,jk,jl) = e_i(:,:,jk,jl) * area(:,:) * v_i(:,:,jl) / nlay_i / unit_fac |
---|
[825] | 625 | END DO |
---|
| 626 | END DO |
---|
| 627 | |
---|
[921] | 628 | !------------------------------------------------------------------------------| |
---|
| 629 | ! 10) Conservation check and changes in each ice category |
---|
| 630 | !------------------------------------------------------------------------------| |
---|
[2715] | 631 | IF( con_i ) THEN |
---|
[921] | 632 | CALL lim_column_sum (jpl, v_i, vt_i_final) |
---|
| 633 | fieldid = 'v_i, limthd_lac' |
---|
| 634 | CALL lim_cons_check (vt_i_init, vt_i_final, 1.0e-6, fieldid) |
---|
[2715] | 635 | ! |
---|
[921] | 636 | CALL lim_column_sum_energy(jpl, nlay_i, e_i, et_i_final) |
---|
| 637 | fieldid = 'e_i, limthd_lac' |
---|
| 638 | CALL lim_cons_check (et_i_final, et_i_final, 1.0e-3, fieldid) |
---|
[2715] | 639 | ! |
---|
[921] | 640 | CALL lim_column_sum (jpl, v_s, vt_s_final) |
---|
| 641 | fieldid = 'v_s, limthd_lac' |
---|
| 642 | CALL lim_cons_check (vt_s_init, vt_s_final, 1.0e-6, fieldid) |
---|
[2715] | 643 | ! |
---|
[921] | 644 | ! CALL lim_column_sum (jpl, e_s(:,:,1,:) , et_s_init) |
---|
| 645 | ! fieldid = 'e_s, limthd_lac' |
---|
| 646 | ! CALL lim_cons_check (et_s_init, et_s_final, 1.0e-3, fieldid) |
---|
| 647 | IF( ln_nicep ) THEN |
---|
| 648 | WRITE(numout,*) ' vt_i_init : ', vt_i_init(jiindx,jjindx) |
---|
| 649 | WRITE(numout,*) ' vt_i_final: ', vt_i_final(jiindx,jjindx) |
---|
| 650 | WRITE(numout,*) ' et_i_init : ', et_i_init(jiindx,jjindx) |
---|
| 651 | WRITE(numout,*) ' et_i_final: ', et_i_final(jiindx,jjindx) |
---|
| 652 | ENDIF |
---|
[2715] | 653 | ! |
---|
[834] | 654 | ENDIF |
---|
[2715] | 655 | ! |
---|
[3294] | 656 | CALL wrk_dealloc( jpij, zcatac ) ! integer |
---|
| 657 | CALL wrk_dealloc( jpij, zswinew, zv_newice, za_newice, zh_newice, ze_newice, zs_newice, zo_newice ) |
---|
| 658 | CALL wrk_dealloc( jpij, zdv_res, zda_res, zat_i_ac, zat_i_lev, zdh_frazb, zvrel_ac, zqbgow, zdhex ) |
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| 659 | CALL wrk_dealloc( jpij,jpl, zhice_old, zdummy, zdhicbot, zv_old, za_old, za_i_ac, zv_i_ac, zoa_i_ac, zsmv_i_ac ) |
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| 660 | CALL wrk_dealloc( jpij,jkmax,jpl, ze_i_ac ) |
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| 661 | CALL wrk_dealloc( jpij,jkmax+1,jpl, zqm0, zthick0 ) |
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| 662 | CALL wrk_dealloc( jpi,jpj, vt_i_init, vt_i_final, vt_s_init, vt_s_final, et_i_init, et_i_final, et_s_init, zvrel ) |
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[2715] | 663 | ! |
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[825] | 664 | END SUBROUTINE lim_thd_lac |
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| 665 | |
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| 666 | #else |
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[2715] | 667 | !!---------------------------------------------------------------------- |
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| 668 | !! Default option NO LIM3 sea-ice model |
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| 669 | !!---------------------------------------------------------------------- |
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[825] | 670 | CONTAINS |
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| 671 | SUBROUTINE lim_thd_lac ! Empty routine |
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| 672 | END SUBROUTINE lim_thd_lac |
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| 673 | #endif |
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[2715] | 674 | |
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| 675 | !!====================================================================== |
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[825] | 676 | END MODULE limthd_lac |
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