[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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[825] | 15 | !! lim_lat_acr : lateral accretion of ice |
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[2528] | 16 | !!---------------------------------------------------------------------- |
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[825] | 17 | USE par_oce ! ocean parameters |
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[2715] | 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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[2777] | 29 | USE lib_mpp ! MPP library |
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[3294] | 30 | USE wrk_nemo ! work arrays |
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[921] | 31 | |
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[825] | 32 | IMPLICIT NONE |
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| 33 | PRIVATE |
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| 34 | |
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| 35 | PUBLIC lim_thd_lac ! called by lim_thd |
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| 36 | |
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[2715] | 37 | REAL(wp) :: epsi20 = 1e-20_wp ! constant values |
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| 38 | REAL(wp) :: epsi13 = 1e-13_wp ! |
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| 39 | REAL(wp) :: epsi11 = 1e-11_wp ! |
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| 40 | REAL(wp) :: epsi10 = 1e-10_wp ! |
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| 41 | REAL(wp) :: epsi06 = 1e-06_wp ! |
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| 42 | REAL(wp) :: epsi03 = 1e-03_wp ! |
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| 43 | REAL(wp) :: zzero = 0._wp ! |
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| 44 | REAL(wp) :: zone = 1._wp ! |
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[825] | 45 | |
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| 46 | !!---------------------------------------------------------------------- |
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[2715] | 47 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
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[1156] | 48 | !! $Id$ |
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[2715] | 49 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[825] | 50 | !!---------------------------------------------------------------------- |
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| 51 | CONTAINS |
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[921] | 52 | |
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[825] | 53 | SUBROUTINE lim_thd_lac |
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| 54 | !!------------------------------------------------------------------- |
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| 55 | !! *** ROUTINE lim_thd_lac *** |
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| 56 | !! |
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| 57 | !! ** Purpose : Computation of the evolution of the ice thickness and |
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| 58 | !! concentration as a function of the heat balance in the leads. |
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| 59 | !! It is only used for lateral accretion |
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| 60 | !! |
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| 61 | !! ** Method : Ice is formed in the open water when ocean lose heat |
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| 62 | !! (heat budget of open water Bl is negative) . |
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| 63 | !! Computation of the increase of 1-A (ice concentration) fol- |
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| 64 | !! lowing the law : |
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| 65 | !! (dA/dt)acc = F[ (1-A)/(1-a) ] * [ Bl / (Li*h0) ] |
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| 66 | !! where - h0 is the thickness of ice created in the lead |
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| 67 | !! - a is a minimum fraction for leads |
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| 68 | !! - F is a monotonic non-increasing function defined as: |
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| 69 | !! F(X)=( 1 - X**exld )**(1.0/exld) |
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| 70 | !! - exld is the exponent closure rate (=2 default val.) |
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| 71 | !! |
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| 72 | !! ** Action : - Adjustment of snow and ice thicknesses and heat |
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| 73 | !! content in brine pockets |
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| 74 | !! - Updating ice internal temperature |
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| 75 | !! - Computation of variation of ice volume and mass |
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| 76 | !! - Computation of frldb after lateral accretion and |
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| 77 | !! update ht_s_b, ht_i_b and tbif_1d(:,:) |
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| 78 | !!------------------------------------------------------------------------ |
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[2715] | 79 | INTEGER :: ji,jj,jk,jl,jm ! dummy loop indices |
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| 80 | INTEGER :: layer, nbpac ! local integers |
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| 81 | INTEGER :: zji, zjj, iter ! - - |
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| 82 | REAL(wp) :: ztmelts, zdv, zqold, zfrazb, zweight, zalphai, zindb, zde ! local scalars |
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| 83 | REAL(wp) :: zgamafr, zvfrx, zvgx, ztaux, ztwogp, zf , zhicol_new ! - - |
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| 84 | REAL(wp) :: ztenagm, zvfry, zvgy, ztauy, zvrel2, zfp, zsqcd , zhicrit ! - - |
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| 85 | LOGICAL :: iterate_frazil ! iterate frazil ice collection thickness |
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| 86 | CHARACTER (len = 15) :: fieldid |
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| 87 | ! |
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[3294] | 88 | INTEGER , POINTER, DIMENSION(:) :: zcatac ! indexes of categories where new ice grows |
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| 89 | REAL(wp), POINTER, DIMENSION(:) :: zswinew ! switch for new ice or not |
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[825] | 90 | |
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[3294] | 91 | REAL(wp), POINTER, DIMENSION(:) :: zv_newice ! volume of accreted ice |
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| 92 | REAL(wp), POINTER, DIMENSION(:) :: za_newice ! fractional area of accreted ice |
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| 93 | REAL(wp), POINTER, DIMENSION(:) :: zh_newice ! thickness of accreted ice |
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| 94 | REAL(wp), POINTER, DIMENSION(:) :: ze_newice ! heat content of accreted ice |
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| 95 | REAL(wp), POINTER, DIMENSION(:) :: zs_newice ! salinity of accreted ice |
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| 96 | REAL(wp), POINTER, DIMENSION(:) :: zo_newice ! age of accreted ice |
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| 97 | REAL(wp), POINTER, DIMENSION(:) :: zdv_res ! residual volume in case of excessive heat budget |
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| 98 | REAL(wp), POINTER, DIMENSION(:) :: zda_res ! residual area in case of excessive heat budget |
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| 99 | REAL(wp), POINTER, DIMENSION(:) :: zat_i_ac ! total ice fraction |
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| 100 | REAL(wp), POINTER, DIMENSION(:) :: zat_i_lev ! total ice fraction for level ice only (type 1) |
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| 101 | REAL(wp), POINTER, DIMENSION(:) :: zdh_frazb ! accretion of frazil ice at the ice bottom |
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| 102 | REAL(wp), POINTER, DIMENSION(:) :: zvrel_ac ! relative ice / frazil velocity (1D vector) |
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[825] | 103 | |
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[3294] | 104 | REAL(wp), POINTER, DIMENSION(:,:) :: zhice_old ! previous ice thickness |
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| 105 | REAL(wp), POINTER, DIMENSION(:,:) :: zdummy ! dummy thickness of new ice |
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| 106 | REAL(wp), POINTER, DIMENSION(:,:) :: zdhicbot ! thickness of new ice which is accreted vertically |
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| 107 | REAL(wp), POINTER, DIMENSION(:,:) :: zv_old ! old volume of ice in category jl |
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| 108 | REAL(wp), POINTER, DIMENSION(:,:) :: za_old ! old area of ice in category jl |
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| 109 | REAL(wp), POINTER, DIMENSION(:,:) :: za_i_ac ! 1-D version of a_i |
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| 110 | REAL(wp), POINTER, DIMENSION(:,:) :: zv_i_ac ! 1-D version of v_i |
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| 111 | REAL(wp), POINTER, DIMENSION(:,:) :: zoa_i_ac ! 1-D version of oa_i |
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| 112 | REAL(wp), POINTER, DIMENSION(:,:) :: zsmv_i_ac ! 1-D version of smv_i |
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[825] | 113 | |
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[3294] | 114 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ze_i_ac !: 1-D version of e_i |
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[825] | 115 | |
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[3294] | 116 | REAL(wp), POINTER, DIMENSION(:) :: zqbgow ! heat budget of the open water (negative) |
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| 117 | REAL(wp), POINTER, DIMENSION(:) :: zdhex ! excessively thick accreted sea ice (hlead-hice) |
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[825] | 118 | |
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[3294] | 119 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zqm0 ! old layer-system heat content |
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| 120 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zthick0 ! old ice thickness |
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[825] | 121 | |
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[3294] | 122 | REAL(wp), POINTER, DIMENSION(:,:) :: vt_i_init, vt_i_final ! ice volume summed over categories |
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| 123 | REAL(wp), POINTER, DIMENSION(:,:) :: vt_s_init, vt_s_final ! snow volume summed over categories |
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| 124 | REAL(wp), POINTER, DIMENSION(:,:) :: et_i_init, et_i_final ! ice energy summed over categories |
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| 125 | REAL(wp), POINTER, DIMENSION(:,:) :: et_s_init ! snow energy summed over categories |
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| 126 | REAL(wp), POINTER, DIMENSION(:,:) :: zvrel ! relative ice / frazil velocity |
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| 127 | !!-----------------------------------------------------------------------! |
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[825] | 128 | |
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[3294] | 129 | CALL wrk_alloc( jpij, zcatac ) ! integer |
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| 130 | CALL wrk_alloc( jpij, zswinew, zv_newice, za_newice, zh_newice, ze_newice, zs_newice, zo_newice ) |
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| 131 | CALL wrk_alloc( jpij, zdv_res, zda_res, zat_i_ac, zat_i_lev, zdh_frazb, zvrel_ac, zqbgow, zdhex ) |
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| 132 | 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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| 133 | CALL wrk_alloc( jpij,jkmax,jpl, ze_i_ac ) |
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| 134 | CALL wrk_alloc( jpij,jkmax+1,jpl, zqm0, zthick0 ) |
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| 135 | 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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| 136 | |
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[2715] | 137 | et_i_init(:,:) = 0._wp |
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| 138 | et_s_init(:,:) = 0._wp |
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| 139 | vt_i_init(:,:) = 0._wp |
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| 140 | vt_s_init(:,:) = 0._wp |
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[825] | 141 | |
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[921] | 142 | !------------------------------------------------------------------------------! |
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| 143 | ! 1) Conservation check and changes in each ice category |
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| 144 | !------------------------------------------------------------------------------! |
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[834] | 145 | IF ( con_i ) THEN |
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| 146 | CALL lim_column_sum (jpl, v_i, vt_i_init) |
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| 147 | CALL lim_column_sum (jpl, v_s, vt_s_init) |
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| 148 | CALL lim_column_sum_energy (jpl, nlay_i, e_i, et_i_init) |
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| 149 | CALL lim_column_sum (jpl, e_s(:,:,1,:) , et_s_init) |
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| 150 | ENDIF |
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[825] | 151 | |
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[921] | 152 | !------------------------------------------------------------------------------| |
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| 153 | ! 2) Convert units for ice internal energy |
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| 154 | !------------------------------------------------------------------------------| |
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[825] | 155 | DO jl = 1, jpl |
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[921] | 156 | DO jk = 1, nlay_i |
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| 157 | DO jj = 1, jpj |
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| 158 | DO ji = 1, jpi |
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| 159 | !Energy of melting q(S,T) [J.m-3] |
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| 160 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) / & |
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[2715] | 161 | MAX( area(ji,jj) * v_i(ji,jj,jl) , epsi10 ) * & |
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[921] | 162 | nlay_i |
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| 163 | zindb = 1.0-MAX(0.0,SIGN(1.0,-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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| 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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[825] | 184 | zvrel(:,:) = 0.0 |
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| 185 | |
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| 186 | ! Default new ice thickness |
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| 187 | DO jj = 1, jpj |
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| 188 | DO ji = 1, jpi |
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| 189 | hicol(ji,jj) = hiccrit(1) |
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| 190 | END DO |
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| 191 | END DO |
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| 192 | |
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| 193 | IF (fraz_swi.eq.1.0) THEN |
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| 194 | |
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[921] | 195 | !-------------------- |
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| 196 | ! Physical constants |
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| 197 | !-------------------- |
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| 198 | hicol(:,:) = 0.0 |
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[825] | 199 | |
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[921] | 200 | zhicrit = 0.04 ! frazil ice thickness |
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| 201 | ztwogp = 2. * rau0 / ( grav * 0.3 * ( rau0 - rhoic ) ) ! reduced grav |
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| 202 | zsqcd = 1.0 / SQRT( 1.3 * cai ) ! 1/SQRT(airdensity*drag) |
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| 203 | zgamafr = 0.03 |
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[825] | 204 | |
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[921] | 205 | DO jj = 1, jpj |
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| 206 | DO ji = 1, jpi |
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[825] | 207 | |
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[921] | 208 | IF ( tms(ji,jj) * ( qcmif(ji,jj) - qldif(ji,jj) ) > 0.e0 ) THEN |
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| 209 | !------------- |
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| 210 | ! Wind stress |
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| 211 | !------------- |
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| 212 | ! C-grid wind stress components |
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[1469] | 213 | ztaux = ( utau_ice(ji-1,jj ) * tmu(ji-1,jj ) & |
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| 214 | & + utau_ice(ji ,jj ) * tmu(ji ,jj ) ) / 2.0 |
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| 215 | ztauy = ( vtau_ice(ji ,jj-1) * tmv(ji ,jj-1) & |
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| 216 | & + vtau_ice(ji ,jj ) * tmv(ji ,jj ) ) / 2.0 |
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[921] | 217 | ! Square root of wind stress |
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| 218 | ztenagm = SQRT( SQRT( ztaux * ztaux + ztauy * ztauy ) ) |
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[825] | 219 | |
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[921] | 220 | !--------------------- |
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| 221 | ! Frazil ice velocity |
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| 222 | !--------------------- |
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[2715] | 223 | zvfrx = zgamafr * zsqcd * ztaux / MAX(ztenagm,epsi10) |
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| 224 | zvfry = zgamafr * zsqcd * ztauy / MAX(ztenagm,epsi10) |
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[825] | 225 | |
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[921] | 226 | !------------------- |
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| 227 | ! Pack ice velocity |
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| 228 | !------------------- |
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| 229 | ! C-grid ice velocity |
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| 230 | zindb = MAX(0.0, SIGN(1.0, at_i(ji,jj) )) |
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| 231 | zvgx = zindb * ( u_ice(ji-1,jj ) * tmu(ji-1,jj ) & |
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| 232 | + u_ice(ji,jj ) * tmu(ji ,jj ) ) / 2.0 |
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| 233 | zvgy = zindb * ( v_ice(ji ,jj-1) * tmv(ji ,jj-1) & |
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| 234 | + v_ice(ji,jj ) * tmv(ji ,jj ) ) / 2.0 |
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[825] | 235 | |
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[921] | 236 | !----------------------------------- |
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| 237 | ! Relative frazil/pack ice velocity |
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| 238 | !----------------------------------- |
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| 239 | ! absolute relative velocity |
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| 240 | zvrel2 = MAX( ( zvfrx - zvgx ) * ( zvfrx - zvgx ) + & |
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| 241 | ( zvfry - zvgy ) * ( zvfry - zvgy ) & |
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| 242 | , 0.15 * 0.15 ) |
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| 243 | zvrel(ji,jj) = SQRT(zvrel2) |
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[825] | 244 | |
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[921] | 245 | !--------------------- |
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| 246 | ! Iterative procedure |
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| 247 | !--------------------- |
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| 248 | hicol(ji,jj) = zhicrit + 0.1 |
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| 249 | hicol(ji,jj) = zhicrit + hicol(ji,jj) / & |
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| 250 | ( hicol(ji,jj) * hicol(ji,jj) - & |
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| 251 | zhicrit * zhicrit ) * ztwogp * zvrel2 |
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[825] | 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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| 286 | IF ( tms(ji,jj) * ( qcmif(ji,jj) - qldif(ji,jj) ) > 0.e0 ) THEN |
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| 287 | nbpac = nbpac + 1 |
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| 288 | npac( nbpac ) = (jj - 1) * jpi + ji |
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[888] | 289 | IF ( (ji.eq.jiindx).AND.(jj.eq.jjindx) ) THEN |
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[825] | 290 | jiindex_1d = nbpac |
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| 291 | ENDIF |
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| 292 | ENDIF |
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| 293 | END DO |
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| 294 | END DO |
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| 295 | |
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[921] | 296 | IF( ln_nicep ) THEN |
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[825] | 297 | WRITE(numout,*) 'lim_thd_lac : nbpac = ', nbpac |
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| 298 | ENDIF |
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| 299 | |
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| 300 | !------------------------------ |
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| 301 | ! Move from 2-D to 1-D vectors |
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| 302 | !------------------------------ |
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| 303 | ! If ocean gains heat do nothing |
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| 304 | ! 0therwise compute new ice formation |
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| 305 | |
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| 306 | IF ( nbpac > 0 ) THEN |
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| 307 | |
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[921] | 308 | CALL tab_2d_1d( nbpac, zat_i_ac (1:nbpac) , at_i , & |
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| 309 | jpi, jpj, npac(1:nbpac) ) |
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| 310 | DO jl = 1, jpl |
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| 311 | CALL tab_2d_1d( nbpac, za_i_ac(1:nbpac,jl) , a_i(:,:,jl) , & |
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| 312 | jpi, jpj, npac(1:nbpac) ) |
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| 313 | CALL tab_2d_1d( nbpac, zv_i_ac(1:nbpac,jl) , v_i(:,:,jl) , & |
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| 314 | jpi, jpj, npac(1:nbpac) ) |
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| 315 | CALL tab_2d_1d( nbpac, zoa_i_ac(1:nbpac,jl) , oa_i(:,:,jl) , & |
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| 316 | jpi, jpj, npac(1:nbpac) ) |
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| 317 | CALL tab_2d_1d( nbpac, zsmv_i_ac(1:nbpac,jl), smv_i(:,:,jl), & |
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| 318 | jpi, jpj, npac(1:nbpac) ) |
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| 319 | DO jk = 1, nlay_i |
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| 320 | CALL tab_2d_1d( nbpac, ze_i_ac(1:nbpac,jk,jl), e_i(:,:,jk,jl) , & |
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| 321 | jpi, jpj, npac(1:nbpac) ) |
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| 322 | END DO ! jk |
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| 323 | END DO ! jl |
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[825] | 324 | |
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[921] | 325 | CALL tab_2d_1d( nbpac, qldif_1d (1:nbpac) , qldif , & |
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| 326 | jpi, jpj, npac(1:nbpac) ) |
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| 327 | CALL tab_2d_1d( nbpac, qcmif_1d (1:nbpac) , qcmif , & |
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| 328 | jpi, jpj, npac(1:nbpac) ) |
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| 329 | CALL tab_2d_1d( nbpac, t_bo_b (1:nbpac) , t_bo , & |
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| 330 | jpi, jpj, npac(1:nbpac) ) |
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| 331 | CALL tab_2d_1d( nbpac, fseqv_1d (1:nbpac) , fseqv , & |
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| 332 | jpi, jpj, npac(1:nbpac) ) |
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| 333 | CALL tab_2d_1d( nbpac, hicol_b (1:nbpac) , hicol , & |
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| 334 | jpi, jpj, npac(1:nbpac) ) |
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| 335 | CALL tab_2d_1d( nbpac, zvrel_ac (1:nbpac) , zvrel , & |
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| 336 | jpi, jpj, npac(1:nbpac) ) |
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[834] | 337 | |
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[921] | 338 | !------------------------------------------------------------------------------! |
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| 339 | ! 5) Compute thickness, salinity, enthalpy, age, area and volume of new ice |
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| 340 | !------------------------------------------------------------------------------! |
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[825] | 341 | |
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[921] | 342 | !---------------------- |
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| 343 | ! Thickness of new ice |
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| 344 | !---------------------- |
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| 345 | DO ji = 1, nbpac |
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| 346 | zh_newice(ji) = hiccrit(1) |
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| 347 | END DO |
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| 348 | IF ( fraz_swi .EQ. 1.0 ) zh_newice(:) = hicol_b(:) |
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[825] | 349 | |
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[921] | 350 | !---------------------- |
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| 351 | ! Salinity of new ice |
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| 352 | !---------------------- |
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[825] | 353 | |
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[921] | 354 | IF ( num_sal .EQ. 1 ) THEN |
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| 355 | zs_newice(:) = bulk_sal |
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| 356 | ENDIF ! num_sal |
---|
[825] | 357 | |
---|
[921] | 358 | IF ( ( num_sal .EQ. 2 ) .OR. ( num_sal .EQ. 4 ) ) THEN |
---|
[825] | 359 | |
---|
[921] | 360 | DO ji = 1, nbpac |
---|
| 361 | zs_newice(ji) = MIN( 4.606 + 0.91 / zh_newice(ji) , s_i_max ) |
---|
| 362 | zji = MOD( npac(ji) - 1, jpi ) + 1 |
---|
| 363 | zjj = ( npac(ji) - 1 ) / jpi + 1 |
---|
| 364 | zs_newice(ji) = MIN( 0.5*sss_m(zji,zjj) , zs_newice(ji) ) |
---|
| 365 | END DO ! jl |
---|
[825] | 366 | |
---|
[921] | 367 | ENDIF ! num_sal |
---|
[825] | 368 | |
---|
[921] | 369 | IF ( num_sal .EQ. 3 ) THEN |
---|
| 370 | zs_newice(:) = 2.3 |
---|
| 371 | ENDIF ! num_sal |
---|
[825] | 372 | |
---|
[921] | 373 | !------------------------- |
---|
| 374 | ! Heat content of new ice |
---|
| 375 | !------------------------- |
---|
| 376 | ! We assume that new ice is formed at the seawater freezing point |
---|
| 377 | DO ji = 1, nbpac |
---|
| 378 | ztmelts = - tmut * zs_newice(ji) + rtt ! Melting point (K) |
---|
| 379 | ze_newice(ji) = rhoic * ( cpic * ( ztmelts - t_bo_b(ji) ) & |
---|
| 380 | + lfus * ( 1.0 - ( ztmelts - rtt ) & |
---|
| 381 | / ( t_bo_b(ji) - rtt ) ) & |
---|
| 382 | - rcp * ( ztmelts-rtt ) ) |
---|
| 383 | ze_newice(ji) = MAX( ze_newice(ji) , 0.0 ) + & |
---|
| 384 | MAX( 0.0 , SIGN( 1.0 , - ze_newice(ji) ) ) & |
---|
| 385 | * rhoic * lfus |
---|
| 386 | END DO ! ji |
---|
| 387 | !---------------- |
---|
| 388 | ! Age of new ice |
---|
| 389 | !---------------- |
---|
| 390 | DO ji = 1, nbpac |
---|
| 391 | zo_newice(ji) = 0.0 |
---|
| 392 | END DO ! ji |
---|
[825] | 393 | |
---|
[921] | 394 | !-------------------------- |
---|
| 395 | ! Open water energy budget |
---|
| 396 | !-------------------------- |
---|
| 397 | DO ji = 1, nbpac |
---|
| 398 | zqbgow(ji) = qldif_1d(ji) - qcmif_1d(ji) !<0 |
---|
| 399 | END DO ! ji |
---|
[825] | 400 | |
---|
[921] | 401 | !------------------- |
---|
| 402 | ! Volume of new ice |
---|
| 403 | !------------------- |
---|
| 404 | DO ji = 1, nbpac |
---|
| 405 | zv_newice(ji) = - zqbgow(ji) / ze_newice(ji) |
---|
[825] | 406 | |
---|
[921] | 407 | ! A fraction zfrazb of frazil ice is accreted at the ice bottom |
---|
| 408 | zfrazb = ( TANH ( Cfrazb * ( zvrel_ac(ji) - vfrazb ) ) & |
---|
| 409 | + 1.0 ) / 2.0 * maxfrazb |
---|
| 410 | zdh_frazb(ji) = zfrazb*zv_newice(ji) |
---|
| 411 | zv_newice(ji) = ( 1.0 - zfrazb ) * zv_newice(ji) |
---|
| 412 | END DO |
---|
[865] | 413 | |
---|
[921] | 414 | !--------------------------------- |
---|
| 415 | ! Salt flux due to new ice growth |
---|
| 416 | !--------------------------------- |
---|
| 417 | IF ( ( num_sal .EQ. 4 ) ) THEN |
---|
| 418 | DO ji = 1, nbpac |
---|
| 419 | zji = MOD( npac(ji) - 1, jpi ) + 1 |
---|
| 420 | zjj = ( npac(ji) - 1 ) / jpi + 1 |
---|
| 421 | fseqv_1d(ji) = fseqv_1d(ji) + & |
---|
| 422 | ( sss_m(zji,zjj) - bulk_sal ) * rhoic * & |
---|
| 423 | zv_newice(ji) / rdt_ice |
---|
| 424 | END DO |
---|
| 425 | ELSE |
---|
| 426 | DO ji = 1, nbpac |
---|
| 427 | zji = MOD( npac(ji) - 1, jpi ) + 1 |
---|
| 428 | zjj = ( npac(ji) - 1 ) / jpi + 1 |
---|
| 429 | fseqv_1d(ji) = fseqv_1d(ji) + & |
---|
| 430 | ( sss_m(zji,zjj) - zs_newice(ji) ) * rhoic * & |
---|
| 431 | zv_newice(ji) / rdt_ice |
---|
| 432 | END DO ! ji |
---|
| 433 | ENDIF |
---|
[825] | 434 | |
---|
[921] | 435 | !------------------------------------ |
---|
| 436 | ! Diags for energy conservation test |
---|
| 437 | !------------------------------------ |
---|
| 438 | DO ji = 1, nbpac |
---|
| 439 | ! Volume |
---|
| 440 | zji = MOD( npac(ji) - 1, jpi ) + 1 |
---|
| 441 | zjj = ( npac(ji) - 1 ) / jpi + 1 |
---|
| 442 | vt_i_init(zji,zjj) = vt_i_init(zji,zjj) + zv_newice(ji) |
---|
| 443 | ! Energy |
---|
| 444 | zde = ze_newice(ji) / unit_fac |
---|
| 445 | zde = zde * area(zji,zjj) * zv_newice(ji) |
---|
| 446 | et_i_init(zji,zjj) = et_i_init(zji,zjj) + zde |
---|
| 447 | END DO |
---|
[825] | 448 | |
---|
[921] | 449 | ! keep new ice volume in memory |
---|
| 450 | CALL tab_1d_2d( nbpac, v_newice , npac(1:nbpac), zv_newice(1:nbpac) , & |
---|
| 451 | jpi, jpj ) |
---|
[825] | 452 | |
---|
[921] | 453 | !----------------- |
---|
| 454 | ! Area of new ice |
---|
| 455 | !----------------- |
---|
| 456 | DO ji = 1, nbpac |
---|
| 457 | za_newice(ji) = zv_newice(ji) / zh_newice(ji) |
---|
| 458 | ! diagnostic |
---|
| 459 | zji = MOD( npac(ji) - 1, jpi ) + 1 |
---|
| 460 | zjj = ( npac(ji) - 1 ) / jpi + 1 |
---|
| 461 | diag_lat_gr(zji,zjj) = zv_newice(ji) / rdt_ice |
---|
| 462 | END DO !ji |
---|
[825] | 463 | |
---|
[921] | 464 | !------------------------------------------------------------------------------! |
---|
| 465 | ! 6) Redistribute new ice area and volume into ice categories ! |
---|
| 466 | !------------------------------------------------------------------------------! |
---|
[825] | 467 | |
---|
[921] | 468 | !----------------------------------------- |
---|
| 469 | ! Keep old ice areas and volume in memory |
---|
| 470 | !----------------------------------------- |
---|
| 471 | zv_old(:,:) = zv_i_ac(:,:) |
---|
| 472 | za_old(:,:) = za_i_ac(:,:) |
---|
[825] | 473 | |
---|
[921] | 474 | !------------------------------------------- |
---|
| 475 | ! Compute excessive new ice area and volume |
---|
| 476 | !------------------------------------------- |
---|
| 477 | ! If lateral ice growth gives an ice concentration gt 1, then |
---|
| 478 | ! we keep the excessive volume in memory and attribute it later |
---|
| 479 | ! to bottom accretion |
---|
| 480 | DO ji = 1, nbpac |
---|
| 481 | ! vectorize |
---|
| 482 | IF ( za_newice(ji) .GT. ( 1.0 - zat_i_ac(ji) ) ) THEN |
---|
| 483 | zda_res(ji) = za_newice(ji) - (1.0 - zat_i_ac(ji) ) |
---|
| 484 | zdv_res(ji) = zda_res(ji) * zh_newice(ji) |
---|
| 485 | za_newice(ji) = za_newice(ji) - zda_res(ji) |
---|
| 486 | zv_newice(ji) = zv_newice(ji) - zdv_res(ji) |
---|
| 487 | ELSE |
---|
| 488 | zda_res(ji) = 0.0 |
---|
| 489 | zdv_res(ji) = 0.0 |
---|
| 490 | ENDIF |
---|
| 491 | END DO ! ji |
---|
[825] | 492 | |
---|
[921] | 493 | !------------------------------------------------ |
---|
| 494 | ! Laterally redistribute new ice volume and area |
---|
| 495 | !------------------------------------------------ |
---|
[2715] | 496 | zat_i_ac(:) = 0._wp |
---|
[921] | 497 | DO jl = 1, jpl |
---|
| 498 | DO ji = 1, nbpac |
---|
[2715] | 499 | IF( hi_max (jl-1) < zh_newice(ji) .AND. & |
---|
| 500 | & zh_newice(ji) <= hi_max (jl) ) THEN |
---|
| 501 | za_i_ac (ji,jl) = za_i_ac (ji,jl) + za_newice(ji) |
---|
| 502 | zv_i_ac (ji,jl) = zv_i_ac (ji,jl) + zv_newice(ji) |
---|
| 503 | zat_i_ac(ji) = zat_i_ac(ji) + za_i_ac (ji,jl) |
---|
| 504 | zcatac (ji) = jl |
---|
[921] | 505 | ENDIF |
---|
| 506 | END DO ! ji |
---|
| 507 | END DO ! jl |
---|
[825] | 508 | |
---|
[921] | 509 | !---------------------------------- |
---|
| 510 | ! Heat content - lateral accretion |
---|
| 511 | !---------------------------------- |
---|
| 512 | DO ji = 1, nbpac |
---|
[2715] | 513 | jl = zcatac(ji) ! categroy in which new ice is put |
---|
| 514 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , -za_old(ji,jl) ) ) ! zindb=1 if ice =0 otherwise |
---|
| 515 | zhice_old(ji,jl) = zv_old(ji,jl) / MAX( za_old(ji,jl) , epsi10 ) * zindb ! old ice thickness |
---|
| 516 | zdhex (ji) = MAX( 0._wp , zh_newice(ji) - zhice_old(ji,jl) ) ! difference in thickness |
---|
| 517 | zswinew (ji) = MAX( 0._wp , SIGN( 1._wp , - za_old(ji,jl) + epsi11 ) ) ! ice totally new in jl category |
---|
[921] | 518 | END DO |
---|
[825] | 519 | |
---|
[921] | 520 | DO jk = 1, nlay_i |
---|
| 521 | DO ji = 1, nbpac |
---|
| 522 | jl = zcatac(ji) |
---|
[2715] | 523 | zqold = ze_i_ac(ji,jk,jl) ! [ J.m-3 ] |
---|
| 524 | zalphai = MIN( zhice_old(ji,jl) * jk / nlay_i , zh_newice(ji) ) & |
---|
| 525 | & - MIN( zhice_old(ji,jl) * ( jk - 1 ) / nlay_i , zh_newice(ji) ) |
---|
| 526 | ze_i_ac(ji,jk,jl) = zswinew(ji) * ze_newice(ji) & |
---|
| 527 | + ( 1.0 - zswinew(ji) ) * ( za_old(ji,jl) * zqold * zhice_old(ji,jl) / nlay_i & |
---|
| 528 | + za_newice(ji) * ze_newice(ji) * zalphai & |
---|
| 529 | + za_newice(ji) * ze_newice(ji) * zdhex(ji) / nlay_i ) / ( ( zv_i_ac(ji,jl) ) / nlay_i ) |
---|
| 530 | END DO |
---|
| 531 | END DO |
---|
[825] | 532 | |
---|
[921] | 533 | !----------------------------------------------- |
---|
| 534 | ! Add excessive volume of new ice at the bottom |
---|
| 535 | !----------------------------------------------- |
---|
| 536 | ! If the ice concentration exceeds 1, the remaining volume of new ice |
---|
| 537 | ! is equally redistributed among all ice categories in which there is |
---|
| 538 | ! ice |
---|
[825] | 539 | |
---|
[921] | 540 | ! Fraction of level ice |
---|
| 541 | jm = 1 |
---|
[2715] | 542 | zat_i_lev(:) = 0._wp |
---|
[825] | 543 | |
---|
[921] | 544 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
---|
| 545 | DO ji = 1, nbpac |
---|
| 546 | zat_i_lev(ji) = zat_i_lev(ji) + za_i_ac(ji,jl) |
---|
| 547 | END DO |
---|
| 548 | END DO |
---|
[825] | 549 | |
---|
[921] | 550 | IF( ln_nicep ) WRITE(numout,*) ' zv_i_ac : ', zv_i_ac(jiindx, 1:jpl) |
---|
| 551 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
---|
| 552 | DO ji = 1, nbpac |
---|
[2715] | 553 | zindb = MAX( 0._wp, SIGN( 1._wp , zdv_res(ji) ) ) |
---|
| 554 | 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 ) |
---|
| 555 | END DO |
---|
| 556 | END DO |
---|
| 557 | IF( ln_nicep ) WRITE(numout,*) ' zv_i_ac : ', zv_i_ac(jiindx, 1:jpl) |
---|
[825] | 558 | |
---|
[921] | 559 | !--------------------------------- |
---|
| 560 | ! Heat content - bottom accretion |
---|
| 561 | !--------------------------------- |
---|
| 562 | jm = 1 |
---|
| 563 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
---|
| 564 | DO ji = 1, nbpac |
---|
[2715] | 565 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , - za_i_ac(ji,jl ) ) ) ! zindb=1 if ice =0 otherwise |
---|
| 566 | zhice_old(ji,jl) = zv_i_ac(ji,jl) / MAX( za_i_ac(ji,jl) , epsi10 ) * zindb |
---|
| 567 | zdhicbot (ji,jl) = zdv_res(ji) / MAX( za_i_ac(ji,jl) , epsi10 ) * zindb & |
---|
| 568 | & + zindb * zdh_frazb(ji) ! frazil ice may coalesce |
---|
| 569 | zdummy(ji,jl) = zv_i_ac(ji,jl)/MAX(za_i_ac(ji,jl),epsi10)*zindb ! thickness of residual ice |
---|
| 570 | END DO |
---|
| 571 | END DO |
---|
[825] | 572 | |
---|
[921] | 573 | ! old layers thicknesses and enthalpies |
---|
| 574 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
---|
| 575 | DO jk = 1, nlay_i |
---|
| 576 | DO ji = 1, nbpac |
---|
[2715] | 577 | zthick0(ji,jk,jl) = zhice_old(ji,jl) / nlay_i |
---|
| 578 | zqm0 (ji,jk,jl) = ze_i_ac(ji,jk,jl) * zthick0(ji,jk,jl) |
---|
| 579 | END DO |
---|
| 580 | END DO |
---|
| 581 | END DO |
---|
| 582 | !!gm ??? why the previous do loop if ocerwriten by the following one ? |
---|
[921] | 583 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
---|
| 584 | DO ji = 1, nbpac |
---|
| 585 | zthick0(ji,nlay_i+1,jl) = zdhicbot(ji,jl) |
---|
[2715] | 586 | zqm0 (ji,nlay_i+1,jl) = ze_newice(ji) * zdhicbot(ji,jl) |
---|
[921] | 587 | END DO ! ji |
---|
| 588 | END DO ! jl |
---|
| 589 | |
---|
| 590 | ! Redistributing energy on the new grid |
---|
[2715] | 591 | ze_i_ac(:,:,:) = 0._wp |
---|
[921] | 592 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
---|
| 593 | DO jk = 1, nlay_i |
---|
| 594 | DO layer = 1, nlay_i + 1 |
---|
| 595 | DO ji = 1, nbpac |
---|
[2715] | 596 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , - za_i_ac(ji,jl) ) ) |
---|
[921] | 597 | ! Redistributing energy on the new grid |
---|
[2715] | 598 | zweight = MAX ( MIN( zhice_old(ji,jl) * layer , zdummy(ji,jl) * jk ) & |
---|
| 599 | & - MAX( zhice_old(ji,jl) * ( layer - 1 ) , zdummy(ji,jl) * ( jk - 1 ) ) , 0._wp ) & |
---|
| 600 | & /( MAX(nlay_i * zthick0(ji,layer,jl),epsi10) ) * zindb |
---|
| 601 | ze_i_ac(ji,jk,jl) = ze_i_ac(ji,jk,jl) + zweight * zqm0(ji,layer,jl) |
---|
[921] | 602 | END DO ! ji |
---|
| 603 | END DO ! layer |
---|
| 604 | END DO ! jk |
---|
| 605 | END DO ! jl |
---|
[825] | 606 | |
---|
[921] | 607 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
---|
| 608 | DO jk = 1, nlay_i |
---|
| 609 | DO ji = 1, nbpac |
---|
[2715] | 610 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , - zv_i_ac(ji,jl) ) ) |
---|
| 611 | ze_i_ac(ji,jk,jl) = ze_i_ac(ji,jk,jl) & |
---|
| 612 | & / MAX( zv_i_ac(ji,jl) , epsi10) * za_i_ac(ji,jl) * nlay_i * zindb |
---|
[921] | 613 | END DO |
---|
| 614 | END DO |
---|
| 615 | END DO |
---|
[825] | 616 | |
---|
[921] | 617 | !------------ |
---|
| 618 | ! Update age |
---|
| 619 | !------------ |
---|
| 620 | DO jl = 1, jpl |
---|
| 621 | DO ji = 1, nbpac |
---|
[2715] | 622 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , - za_i_ac(ji,jl) ) ) ! 0 if no ice and 1 if yes |
---|
| 623 | zoa_i_ac(ji,jl) = za_old(ji,jl) * zoa_i_ac(ji,jl) / MAX( za_i_ac(ji,jl) , epsi10 ) * zindb |
---|
| 624 | END DO |
---|
| 625 | END DO |
---|
[825] | 626 | |
---|
[921] | 627 | !----------------- |
---|
| 628 | ! Update salinity |
---|
| 629 | !----------------- |
---|
[2715] | 630 | IF( num_sal == 2 .OR. num_sal == 4 ) THEN |
---|
[921] | 631 | DO jl = 1, jpl |
---|
| 632 | DO ji = 1, nbpac |
---|
[2715] | 633 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , - zv_i_ac(ji,jl) ) ) ! 0 if no ice and 1 if yes |
---|
| 634 | zdv = zv_i_ac(ji,jl) - zv_old(ji,jl) |
---|
| 635 | zsmv_i_ac(ji,jl) = ( zsmv_i_ac(ji,jl) + zdv * zs_newice(ji) ) * zindb |
---|
| 636 | END DO |
---|
| 637 | END DO |
---|
| 638 | ENDIF |
---|
[825] | 639 | |
---|
[921] | 640 | !------------------------------------------------------------------------------! |
---|
| 641 | ! 8) Change 2D vectors to 1D vectors |
---|
| 642 | !------------------------------------------------------------------------------! |
---|
| 643 | DO jl = 1, jpl |
---|
[2715] | 644 | CALL tab_1d_2d( nbpac, a_i (:,:,jl), npac(1:nbpac), za_i_ac (1:nbpac,jl), jpi, jpj ) |
---|
| 645 | CALL tab_1d_2d( nbpac, v_i (:,:,jl), npac(1:nbpac), zv_i_ac (1:nbpac,jl), jpi, jpj ) |
---|
| 646 | CALL tab_1d_2d( nbpac, oa_i(:,:,jl), npac(1:nbpac), zoa_i_ac(1:nbpac,jl), jpi, jpj ) |
---|
| 647 | IF ( num_sal == 2 .OR. num_sal == 4 ) & |
---|
| 648 | CALL tab_1d_2d( nbpac, smv_i (:,:,jl), npac(1:nbpac), zsmv_i_ac(1:nbpac,jl) , jpi, jpj ) |
---|
[921] | 649 | DO jk = 1, nlay_i |
---|
[2715] | 650 | CALL tab_1d_2d( nbpac, e_i(:,:,jk,jl), npac(1:nbpac), ze_i_ac(1:nbpac,jk,jl), jpi, jpj ) |
---|
| 651 | END DO |
---|
| 652 | END DO |
---|
| 653 | CALL tab_1d_2d( nbpac, fseqv , npac(1:nbpac), fseqv_1d (1:nbpac) , jpi, jpj ) |
---|
| 654 | ! |
---|
[921] | 655 | ENDIF ! nbpac > 0 |
---|
[825] | 656 | |
---|
[921] | 657 | !------------------------------------------------------------------------------! |
---|
| 658 | ! 9) Change units for e_i |
---|
| 659 | !------------------------------------------------------------------------------! |
---|
[825] | 660 | DO jl = 1, jpl |
---|
[2715] | 661 | DO jk = 1, nlay_i ! heat content in 10^9 Joules |
---|
| 662 | e_i(:,:,jk,jl) = e_i(:,:,jk,jl) * area(:,:) * v_i(:,:,jl) / nlay_i / unit_fac |
---|
[825] | 663 | END DO |
---|
| 664 | END DO |
---|
| 665 | |
---|
[921] | 666 | !------------------------------------------------------------------------------| |
---|
| 667 | ! 10) Conservation check and changes in each ice category |
---|
| 668 | !------------------------------------------------------------------------------| |
---|
[2715] | 669 | IF( con_i ) THEN |
---|
[921] | 670 | CALL lim_column_sum (jpl, v_i, vt_i_final) |
---|
| 671 | fieldid = 'v_i, limthd_lac' |
---|
| 672 | CALL lim_cons_check (vt_i_init, vt_i_final, 1.0e-6, fieldid) |
---|
[2715] | 673 | ! |
---|
[921] | 674 | CALL lim_column_sum_energy(jpl, nlay_i, e_i, et_i_final) |
---|
| 675 | fieldid = 'e_i, limthd_lac' |
---|
| 676 | CALL lim_cons_check (et_i_final, et_i_final, 1.0e-3, fieldid) |
---|
[2715] | 677 | ! |
---|
[921] | 678 | CALL lim_column_sum (jpl, v_s, vt_s_final) |
---|
| 679 | fieldid = 'v_s, limthd_lac' |
---|
| 680 | CALL lim_cons_check (vt_s_init, vt_s_final, 1.0e-6, fieldid) |
---|
[2715] | 681 | ! |
---|
[921] | 682 | ! CALL lim_column_sum (jpl, e_s(:,:,1,:) , et_s_init) |
---|
| 683 | ! fieldid = 'e_s, limthd_lac' |
---|
| 684 | ! CALL lim_cons_check (et_s_init, et_s_final, 1.0e-3, fieldid) |
---|
| 685 | IF( ln_nicep ) THEN |
---|
| 686 | WRITE(numout,*) ' vt_i_init : ', vt_i_init(jiindx,jjindx) |
---|
| 687 | WRITE(numout,*) ' vt_i_final: ', vt_i_final(jiindx,jjindx) |
---|
| 688 | WRITE(numout,*) ' et_i_init : ', et_i_init(jiindx,jjindx) |
---|
| 689 | WRITE(numout,*) ' et_i_final: ', et_i_final(jiindx,jjindx) |
---|
| 690 | ENDIF |
---|
[2715] | 691 | ! |
---|
[834] | 692 | ENDIF |
---|
[2715] | 693 | ! |
---|
[3294] | 694 | CALL wrk_dealloc( jpij, zcatac ) ! integer |
---|
| 695 | CALL wrk_dealloc( jpij, zswinew, zv_newice, za_newice, zh_newice, ze_newice, zs_newice, zo_newice ) |
---|
| 696 | CALL wrk_dealloc( jpij, zdv_res, zda_res, zat_i_ac, zat_i_lev, zdh_frazb, zvrel_ac, zqbgow, zdhex ) |
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| 697 | 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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| 698 | CALL wrk_dealloc( jpij,jkmax,jpl, ze_i_ac ) |
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| 699 | CALL wrk_dealloc( jpij,jkmax+1,jpl, zqm0, zthick0 ) |
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| 700 | 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] | 701 | ! |
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[825] | 702 | END SUBROUTINE lim_thd_lac |
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| 703 | |
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| 704 | #else |
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[2715] | 705 | !!---------------------------------------------------------------------- |
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| 706 | !! Default option NO LIM3 sea-ice model |
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| 707 | !!---------------------------------------------------------------------- |
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[825] | 708 | CONTAINS |
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| 709 | SUBROUTINE lim_thd_lac ! Empty routine |
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| 710 | END SUBROUTINE lim_thd_lac |
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| 711 | #endif |
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[2715] | 712 | |
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| 713 | !!====================================================================== |
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[825] | 714 | END MODULE limthd_lac |
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