[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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[4332] | 38 | REAL(wp) :: epsi10 = 1.e-10_wp ! |
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[4634] | 39 | REAL(wp) :: epsi20 = 1.e-20_wp ! |
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[825] | 40 | |
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| 41 | !!---------------------------------------------------------------------- |
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[4045] | 42 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
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[1156] | 43 | !! $Id$ |
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[2715] | 44 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[825] | 45 | !!---------------------------------------------------------------------- |
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| 46 | CONTAINS |
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[921] | 47 | |
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[825] | 48 | SUBROUTINE lim_thd_lac |
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| 49 | !!------------------------------------------------------------------- |
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| 50 | !! *** ROUTINE lim_thd_lac *** |
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| 51 | !! |
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| 52 | !! ** Purpose : Computation of the evolution of the ice thickness and |
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| 53 | !! concentration as a function of the heat balance in the leads. |
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| 54 | !! It is only used for lateral accretion |
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| 55 | !! |
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| 56 | !! ** Method : Ice is formed in the open water when ocean lose heat |
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| 57 | !! (heat budget of open water Bl is negative) . |
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| 58 | !! Computation of the increase of 1-A (ice concentration) fol- |
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| 59 | !! lowing the law : |
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| 60 | !! (dA/dt)acc = F[ (1-A)/(1-a) ] * [ Bl / (Li*h0) ] |
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| 61 | !! where - h0 is the thickness of ice created in the lead |
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| 62 | !! - a is a minimum fraction for leads |
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| 63 | !! - F is a monotonic non-increasing function defined as: |
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| 64 | !! F(X)=( 1 - X**exld )**(1.0/exld) |
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| 65 | !! - exld is the exponent closure rate (=2 default val.) |
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| 66 | !! |
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| 67 | !! ** Action : - Adjustment of snow and ice thicknesses and heat |
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| 68 | !! content in brine pockets |
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| 69 | !! - Updating ice internal temperature |
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| 70 | !! - Computation of variation of ice volume and mass |
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| 71 | !! - Computation of frldb after lateral accretion and |
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| 72 | !! update ht_s_b, ht_i_b and tbif_1d(:,:) |
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| 73 | !!------------------------------------------------------------------------ |
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[4045] | 74 | INTEGER :: ji,jj,jk,jl,jm ! dummy loop indices |
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| 75 | INTEGER :: layer, nbpac ! local integers |
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| 76 | INTEGER :: ii, ij, iter ! - - |
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[4634] | 77 | REAL(wp) :: ztmelts, zdv, zfrazb, zweight, zindb, zinda, zde ! local scalars |
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[2715] | 78 | REAL(wp) :: zgamafr, zvfrx, zvgx, ztaux, ztwogp, zf , zhicol_new ! - - |
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| 79 | REAL(wp) :: ztenagm, zvfry, zvgy, ztauy, zvrel2, zfp, zsqcd , zhicrit ! - - |
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| 80 | LOGICAL :: iterate_frazil ! iterate frazil ice collection thickness |
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| 81 | CHARACTER (len = 15) :: fieldid |
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[4634] | 82 | |
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| 83 | REAL(wp) :: zQm ! enthalpy exchanged with the ocean (J/m2, >0 towards ocean) |
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| 84 | REAL(wp) :: zEi ! sea ice specific enthalpy (J/kg) |
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| 85 | REAL(wp) :: zEw ! seawater specific enthalpy (J/kg) |
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| 86 | REAL(wp) :: zfmdt ! mass flux x time step (kg/m2, >0 towards ocean) |
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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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[4634] | 101 | REAL(wp), POINTER, DIMENSION(:) :: zv_frazb ! accretion of frazil ice at the ice bottom |
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[3294] | 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(:,:) :: zv_old ! old volume of ice in category jl |
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| 105 | REAL(wp), POINTER, DIMENSION(:,:) :: za_old ! old area of ice in category jl |
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| 106 | REAL(wp), POINTER, DIMENSION(:,:) :: za_i_ac ! 1-D version of a_i |
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| 107 | REAL(wp), POINTER, DIMENSION(:,:) :: zv_i_ac ! 1-D version of v_i |
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| 108 | REAL(wp), POINTER, DIMENSION(:,:) :: zoa_i_ac ! 1-D version of oa_i |
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| 109 | REAL(wp), POINTER, DIMENSION(:,:) :: zsmv_i_ac ! 1-D version of smv_i |
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[825] | 110 | |
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[3294] | 111 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ze_i_ac !: 1-D version of e_i |
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[825] | 112 | |
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[3294] | 113 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zqm0 ! old layer-system heat content |
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| 114 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zthick0 ! old ice thickness |
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[825] | 115 | |
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[3294] | 116 | REAL(wp), POINTER, DIMENSION(:,:) :: vt_i_init, vt_i_final ! ice volume summed over categories |
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| 117 | REAL(wp), POINTER, DIMENSION(:,:) :: vt_s_init, vt_s_final ! snow volume summed over categories |
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| 118 | REAL(wp), POINTER, DIMENSION(:,:) :: et_i_init, et_i_final ! ice energy summed over categories |
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| 119 | REAL(wp), POINTER, DIMENSION(:,:) :: et_s_init ! snow energy summed over categories |
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| 120 | REAL(wp), POINTER, DIMENSION(:,:) :: zvrel ! relative ice / frazil velocity |
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| 121 | !!-----------------------------------------------------------------------! |
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[825] | 122 | |
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[3294] | 123 | CALL wrk_alloc( jpij, zcatac ) ! integer |
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| 124 | CALL wrk_alloc( jpij, zswinew, zv_newice, za_newice, zh_newice, ze_newice, zs_newice, zo_newice ) |
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[4634] | 125 | CALL wrk_alloc( jpij, zdv_res, zda_res, zat_i_ac, zat_i_lev, zv_frazb, zvrel_ac ) |
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| 126 | CALL wrk_alloc( jpij,jpl, zv_old, za_old, za_i_ac, zv_i_ac, zoa_i_ac, zsmv_i_ac ) |
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[3294] | 127 | CALL wrk_alloc( jpij,jkmax,jpl, ze_i_ac ) |
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| 128 | CALL wrk_alloc( jpij,jkmax+1,jpl, zqm0, zthick0 ) |
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| 129 | 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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| 130 | |
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[2715] | 131 | et_i_init(:,:) = 0._wp |
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| 132 | et_s_init(:,:) = 0._wp |
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| 133 | vt_i_init(:,:) = 0._wp |
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| 134 | vt_s_init(:,:) = 0._wp |
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[825] | 135 | |
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[921] | 136 | !------------------------------------------------------------------------------! |
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| 137 | ! 1) Conservation check and changes in each ice category |
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| 138 | !------------------------------------------------------------------------------! |
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[3625] | 139 | IF( con_i ) THEN |
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| 140 | CALL lim_column_sum ( jpl, v_i , vt_i_init) |
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| 141 | CALL lim_column_sum ( jpl, v_s , vt_s_init) |
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| 142 | CALL lim_column_sum_energy ( jpl, nlay_i , e_i , et_i_init) |
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| 143 | CALL lim_column_sum ( jpl, e_s(:,:,1,:) , et_s_init) |
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[834] | 144 | ENDIF |
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[825] | 145 | |
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[921] | 146 | !------------------------------------------------------------------------------| |
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| 147 | ! 2) Convert units for ice internal energy |
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| 148 | !------------------------------------------------------------------------------| |
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[825] | 149 | DO jl = 1, jpl |
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[921] | 150 | DO jk = 1, nlay_i |
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| 151 | DO jj = 1, jpj |
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| 152 | DO ji = 1, jpi |
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| 153 | !Energy of melting q(S,T) [J.m-3] |
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[4332] | 154 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , -v_i(ji,jj,jl) + epsi10 ) ) !0 if no ice and 1 if yes |
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[4634] | 155 | e_i(ji,jj,jk,jl) = zindb * e_i(ji,jj,jk,jl) / ( area(ji,jj) * MAX( v_i(ji,jj,jl) , epsi10 ) ) * REAL( nlay_i ) |
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| 156 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) * unit_fac |
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[921] | 157 | END DO |
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[825] | 158 | END DO |
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[921] | 159 | END DO |
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[825] | 160 | END DO |
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| 161 | |
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[921] | 162 | !------------------------------------------------------------------------------! |
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| 163 | ! 3) Collection thickness of ice formed in leads and polynyas |
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| 164 | !------------------------------------------------------------------------------! |
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[865] | 165 | ! hicol is the thickness of new ice formed in open water |
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| 166 | ! hicol can be either prescribed (frazswi = 0) |
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| 167 | ! or computed (frazswi = 1) |
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[825] | 168 | ! Frazil ice forms in open water, is transported by wind |
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| 169 | ! accumulates at the edge of the consolidated ice edge |
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| 170 | ! where it forms aggregates of a specific thickness called |
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| 171 | ! collection thickness. |
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| 172 | |
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[865] | 173 | ! Note : the following algorithm currently breaks vectorization |
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| 174 | ! |
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| 175 | |
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[3625] | 176 | zvrel(:,:) = 0._wp |
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[825] | 177 | |
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| 178 | ! Default new ice thickness |
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[3625] | 179 | hicol(:,:) = hiccrit(1) |
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[825] | 180 | |
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[3625] | 181 | IF( fraz_swi == 1._wp ) THEN |
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[825] | 182 | |
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[921] | 183 | !-------------------- |
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| 184 | ! Physical constants |
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| 185 | !-------------------- |
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[3625] | 186 | hicol(:,:) = 0._wp |
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[825] | 187 | |
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[921] | 188 | zhicrit = 0.04 ! frazil ice thickness |
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| 189 | ztwogp = 2. * rau0 / ( grav * 0.3 * ( rau0 - rhoic ) ) ! reduced grav |
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| 190 | zsqcd = 1.0 / SQRT( 1.3 * cai ) ! 1/SQRT(airdensity*drag) |
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| 191 | zgamafr = 0.03 |
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[825] | 192 | |
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[921] | 193 | DO jj = 1, jpj |
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| 194 | DO ji = 1, jpi |
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[825] | 195 | |
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[4634] | 196 | IF ( qlead(ji,jj) < 0._wp ) THEN |
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[921] | 197 | !------------- |
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| 198 | ! Wind stress |
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| 199 | !------------- |
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| 200 | ! C-grid wind stress components |
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[3625] | 201 | ztaux = ( utau_ice(ji-1,jj ) * tmu(ji-1,jj ) & |
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| 202 | & + utau_ice(ji ,jj ) * tmu(ji ,jj ) ) * 0.5_wp |
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| 203 | ztauy = ( vtau_ice(ji ,jj-1) * tmv(ji ,jj-1) & |
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| 204 | & + vtau_ice(ji ,jj ) * tmv(ji ,jj ) ) * 0.5_wp |
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[921] | 205 | ! Square root of wind stress |
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| 206 | ztenagm = SQRT( SQRT( ztaux * ztaux + ztauy * ztauy ) ) |
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[825] | 207 | |
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[921] | 208 | !--------------------- |
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| 209 | ! Frazil ice velocity |
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| 210 | !--------------------- |
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[2715] | 211 | zvfrx = zgamafr * zsqcd * ztaux / MAX(ztenagm,epsi10) |
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| 212 | zvfry = zgamafr * zsqcd * ztauy / MAX(ztenagm,epsi10) |
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[825] | 213 | |
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[921] | 214 | !------------------- |
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| 215 | ! Pack ice velocity |
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| 216 | !------------------- |
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| 217 | ! C-grid ice velocity |
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[3625] | 218 | zindb = MAX( 0._wp, SIGN( 1._wp , at_i(ji,jj) ) ) |
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| 219 | zvgx = zindb * ( u_ice(ji-1,jj ) * tmu(ji-1,jj ) & |
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| 220 | & + u_ice(ji,jj ) * tmu(ji ,jj ) ) * 0.5_wp |
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| 221 | zvgy = zindb * ( v_ice(ji ,jj-1) * tmv(ji ,jj-1) & |
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| 222 | & + v_ice(ji,jj ) * tmv(ji ,jj ) ) * 0.5_wp |
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[825] | 223 | |
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[921] | 224 | !----------------------------------- |
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| 225 | ! Relative frazil/pack ice velocity |
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| 226 | !----------------------------------- |
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| 227 | ! absolute relative velocity |
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[3625] | 228 | zvrel2 = MAX( ( zvfrx - zvgx ) * ( zvfrx - zvgx ) & |
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| 229 | & + ( zvfry - zvgy ) * ( zvfry - zvgy ) , 0.15 * 0.15 ) |
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| 230 | zvrel(ji,jj) = SQRT( zvrel2 ) |
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[825] | 231 | |
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[921] | 232 | !--------------------- |
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| 233 | ! Iterative procedure |
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| 234 | !--------------------- |
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| 235 | hicol(ji,jj) = zhicrit + 0.1 |
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[3625] | 236 | hicol(ji,jj) = zhicrit + hicol(ji,jj) & |
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| 237 | & / ( hicol(ji,jj) * hicol(ji,jj) - zhicrit * zhicrit ) * ztwogp * zvrel2 |
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[825] | 238 | |
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[3625] | 239 | !!gm better coding: above: hicol(ji,jj) * hicol(ji,jj) = (zhicrit + 0.1)*(zhicrit + 0.1) |
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| 240 | !!gm = zhicrit**2 + 0.2*zhicrit +0.01 |
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| 241 | !!gm therefore the 2 lines with hicol can be replaced by 1 line: |
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| 242 | !!gm hicol(ji,jj) = zhicrit + (zhicrit + 0.1) / ( 0.2 * zhicrit + 0.01 ) * ztwogp * zvrel2 |
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| 243 | !!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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| 244 | |
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[921] | 245 | iter = 1 |
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| 246 | iterate_frazil = .true. |
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[825] | 247 | |
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[921] | 248 | DO WHILE ( iter .LT. 100 .AND. iterate_frazil ) |
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| 249 | zf = ( hicol(ji,jj) - zhicrit ) * ( hicol(ji,jj)**2 - zhicrit**2 ) & |
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| 250 | - hicol(ji,jj) * zhicrit * ztwogp * zvrel2 |
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| 251 | zfp = ( hicol(ji,jj) - zhicrit ) * ( 3.0*hicol(ji,jj) + zhicrit ) & |
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| 252 | - zhicrit * ztwogp * zvrel2 |
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| 253 | zhicol_new = hicol(ji,jj) - zf/zfp |
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| 254 | hicol(ji,jj) = zhicol_new |
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[825] | 255 | |
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[921] | 256 | iter = iter + 1 |
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[825] | 257 | |
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[921] | 258 | END DO ! do while |
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[825] | 259 | |
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[921] | 260 | ENDIF ! end of selection of pixels where ice forms |
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[825] | 261 | |
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[921] | 262 | END DO ! loop on ji ends |
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| 263 | END DO ! loop on jj ends |
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[825] | 264 | |
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| 265 | ENDIF ! End of computation of frazil ice collection thickness |
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| 266 | |
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[921] | 267 | !------------------------------------------------------------------------------! |
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| 268 | ! 4) Identify grid points where new ice forms |
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| 269 | !------------------------------------------------------------------------------! |
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[825] | 270 | |
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| 271 | !------------------------------------- |
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| 272 | ! Select points for new ice formation |
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| 273 | !------------------------------------- |
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| 274 | ! This occurs if open water energy budget is negative |
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| 275 | nbpac = 0 |
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| 276 | DO jj = 1, jpj |
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| 277 | DO ji = 1, jpi |
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[4634] | 278 | IF ( qlead(ji,jj) < 0._wp ) THEN |
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[825] | 279 | nbpac = nbpac + 1 |
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| 280 | npac( nbpac ) = (jj - 1) * jpi + ji |
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| 281 | ENDIF |
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| 282 | END DO |
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| 283 | END DO |
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| 284 | |
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[4332] | 285 | ! debug point to follow |
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| 286 | jiindex_1d = 0 |
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| 287 | IF( ln_nicep ) THEN |
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| 288 | DO ji = mi0(jiindx), mi1(jiindx) |
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| 289 | DO jj = mj0(jjindx), mj1(jjindx) |
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[4634] | 290 | IF ( qlead(ji,jj) < 0._wp ) THEN |
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[4332] | 291 | jiindex_1d = (jj - 1) * jpi + ji |
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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 | ENDIF |
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| 296 | |
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| 297 | IF( ln_nicep ) WRITE(numout,*) 'lim_thd_lac : nbpac = ', nbpac |
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[825] | 298 | |
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| 299 | !------------------------------ |
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| 300 | ! Move from 2-D to 1-D vectors |
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| 301 | !------------------------------ |
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| 302 | ! If ocean gains heat do nothing |
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| 303 | ! 0therwise compute new ice formation |
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| 304 | |
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| 305 | IF ( nbpac > 0 ) THEN |
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| 306 | |
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[3625] | 307 | CALL tab_2d_1d( nbpac, zat_i_ac (1:nbpac) , at_i , jpi, jpj, npac(1:nbpac) ) |
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[921] | 308 | DO jl = 1, jpl |
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[3625] | 309 | CALL tab_2d_1d( nbpac, za_i_ac (1:nbpac,jl), a_i (:,:,jl), jpi, jpj, npac(1:nbpac) ) |
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| 310 | CALL tab_2d_1d( nbpac, zv_i_ac (1:nbpac,jl), v_i (:,:,jl), jpi, jpj, npac(1:nbpac) ) |
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| 311 | CALL tab_2d_1d( nbpac, zoa_i_ac (1:nbpac,jl), oa_i (:,:,jl), jpi, jpj, npac(1:nbpac) ) |
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| 312 | CALL tab_2d_1d( nbpac, zsmv_i_ac(1:nbpac,jl), smv_i(:,:,jl), jpi, jpj, npac(1:nbpac) ) |
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[921] | 313 | DO jk = 1, nlay_i |
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[3625] | 314 | 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] | 315 | END DO ! jk |
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| 316 | END DO ! jl |
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[825] | 317 | |
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[4634] | 318 | CALL tab_2d_1d( nbpac, qlead_1d (1:nbpac) , qlead , jpi, jpj, npac(1:nbpac) ) |
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[3625] | 319 | CALL tab_2d_1d( nbpac, t_bo_b (1:nbpac) , t_bo , jpi, jpj, npac(1:nbpac) ) |
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[4634] | 320 | CALL tab_2d_1d( nbpac, sfx_opw_1d(1:nbpac) , sfx_opw, jpi, jpj, npac(1:nbpac) ) |
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| 321 | CALL tab_2d_1d( nbpac, wfx_opw_1d(1:nbpac) , wfx_opw, jpi, jpj, npac(1:nbpac) ) |
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| 322 | CALL tab_2d_1d( nbpac, wfx_opw_1d(1:nbpac) , wfx_opw, jpi, jpj, npac(1:nbpac) ) |
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[3625] | 323 | CALL tab_2d_1d( nbpac, hicol_b (1:nbpac) , hicol , jpi, jpj, npac(1:nbpac) ) |
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| 324 | CALL tab_2d_1d( nbpac, zvrel_ac (1:nbpac) , zvrel , jpi, jpj, npac(1:nbpac) ) |
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[834] | 325 | |
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[4634] | 326 | CALL tab_2d_1d( nbpac, hfx_thd_1d(1:nbpac) , hfx_thd, jpi, jpj, npac(1:nbpac) ) |
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| 327 | CALL tab_2d_1d( nbpac, hfx_tot_1d(1:nbpac) , hfx_tot, jpi, jpj, npac(1:nbpac) ) |
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| 328 | |
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[921] | 329 | !------------------------------------------------------------------------------! |
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| 330 | ! 5) Compute thickness, salinity, enthalpy, age, area and volume of new ice |
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| 331 | !------------------------------------------------------------------------------! |
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[825] | 332 | |
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[4634] | 333 | !----------------------------------------- |
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| 334 | ! Keep old ice areas and volume in memory |
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| 335 | !----------------------------------------- |
---|
| 336 | zv_old(:,:) = zv_i_ac(:,:) |
---|
| 337 | za_old(:,:) = za_i_ac(:,:) |
---|
| 338 | |
---|
[921] | 339 | !---------------------- |
---|
| 340 | ! Thickness of new ice |
---|
| 341 | !---------------------- |
---|
| 342 | DO ji = 1, nbpac |
---|
[3625] | 343 | zh_newice(ji) = hiccrit(1) |
---|
[921] | 344 | END DO |
---|
[3625] | 345 | IF( fraz_swi == 1.0 ) zh_newice(:) = hicol_b(:) |
---|
[825] | 346 | |
---|
[921] | 347 | !---------------------- |
---|
| 348 | ! Salinity of new ice |
---|
| 349 | !---------------------- |
---|
[825] | 350 | |
---|
[3625] | 351 | SELECT CASE ( num_sal ) |
---|
| 352 | CASE ( 1 ) ! Sice = constant |
---|
| 353 | zs_newice(:) = bulk_sal |
---|
| 354 | CASE ( 2 ) ! Sice = F(z,t) [Vancoppenolle et al (2005)] |
---|
[921] | 355 | DO ji = 1, nbpac |
---|
[4045] | 356 | ii = MOD( npac(ji) - 1 , jpi ) + 1 |
---|
| 357 | ij = ( npac(ji) - 1 ) / jpi + 1 |
---|
| 358 | zs_newice(ji) = MIN( 4.606 + 0.91 / zh_newice(ji) , s_i_max , 0.5 * sss_m(ii,ij) ) |
---|
[3625] | 359 | END DO |
---|
| 360 | CASE ( 3 ) ! Sice = F(z) [multiyear ice] |
---|
| 361 | zs_newice(:) = 2.3 |
---|
| 362 | END SELECT |
---|
[825] | 363 | |
---|
| 364 | |
---|
[921] | 365 | !------------------------- |
---|
| 366 | ! Heat content of new ice |
---|
| 367 | !------------------------- |
---|
| 368 | ! We assume that new ice is formed at the seawater freezing point |
---|
| 369 | DO ji = 1, nbpac |
---|
[3625] | 370 | ztmelts = - tmut * zs_newice(ji) + rtt ! Melting point (K) |
---|
| 371 | ze_newice(ji) = rhoic * ( cpic * ( ztmelts - t_bo_b(ji) ) & |
---|
| 372 | & + lfus * ( 1.0 - ( ztmelts - rtt ) / ( t_bo_b(ji) - rtt ) ) & |
---|
| 373 | & - rcp * ( ztmelts - rtt ) ) |
---|
[4634] | 374 | ! MV HC 2014 comment I dont see why this line below is here... ? |
---|
| 375 | ! This implies that ze_newice gets to rhoic*Lfus if it was negative, but this should never happen |
---|
[3625] | 376 | ze_newice(ji) = MAX( ze_newice(ji) , 0._wp ) & |
---|
| 377 | & + MAX( 0.0 , SIGN( 1.0 , - ze_newice(ji) ) ) * rhoic * lfus |
---|
[921] | 378 | END DO ! ji |
---|
| 379 | !---------------- |
---|
| 380 | ! Age of new ice |
---|
| 381 | !---------------- |
---|
| 382 | DO ji = 1, nbpac |
---|
[3625] | 383 | zo_newice(ji) = 0._wp |
---|
[921] | 384 | END DO ! ji |
---|
[825] | 385 | |
---|
[921] | 386 | !------------------- |
---|
| 387 | ! Volume of new ice |
---|
| 388 | !------------------- |
---|
| 389 | DO ji = 1, nbpac |
---|
[825] | 390 | |
---|
[4634] | 391 | zEi = - ze_newice(ji) / rhoic ! specific enthalpy of forming ice [J/kg] |
---|
| 392 | |
---|
| 393 | zEw = rcp * ( t_bo_b(ji) - rt0 ) ! specific enthalpy of seawater at t_bo_b [J/kg] |
---|
| 394 | ! clem: we suppose we are already at the freezing point (condition qlead<0 is satisfyied) |
---|
| 395 | |
---|
| 396 | zdE = zEi - zEw ! specific enthalpy difference [J/kg] |
---|
| 397 | |
---|
| 398 | zfmdt = - qlead_1d(ji) / zdE ! Fm.dt [kg/m2] (<0) |
---|
| 399 | ! clem: we use qlead instead of zqld (limthd) because we suppose we are at the freezing point |
---|
| 400 | zv_newice(ji) = - zfmdt / rhoic |
---|
| 401 | |
---|
| 402 | zQm = zfmdt * zEw ! heat to the ocean >0 associated with mass flux |
---|
| 403 | |
---|
| 404 | ! Contribution to heat flux to the ocean [W.m-2], >0 |
---|
| 405 | hfx_thd_1d(ji) = hfx_thd_1d(ji) + zfmdt * zEw * r1_rdtice |
---|
| 406 | ! Total heat flux used in this process [W.m-2] |
---|
| 407 | hfx_tot_1d(ji) = hfx_tot_1d(ji) - zfmdt * zdE * r1_rdtice |
---|
| 408 | ! mass flux |
---|
| 409 | wfx_opw_1d(ji) = wfx_opw_1d(ji) + zv_newice(ji) * rhoic * r1_rdtice |
---|
| 410 | ! salt flux |
---|
| 411 | sfx_opw_1d(ji) = sfx_opw_1d(ji) - zv_newice(ji) * rhoic * zs_newice(ji) * r1_rdtice |
---|
| 412 | |
---|
[921] | 413 | ! A fraction zfrazb of frazil ice is accreted at the ice bottom |
---|
[3625] | 414 | zfrazb = ( TANH ( Cfrazb * ( zvrel_ac(ji) - vfrazb ) ) + 1.0 ) * 0.5 * maxfrazb |
---|
[4634] | 415 | zv_frazb(ji) = zfrazb * zv_newice(ji) |
---|
[921] | 416 | zv_newice(ji) = ( 1.0 - zfrazb ) * zv_newice(ji) |
---|
| 417 | END DO |
---|
[865] | 418 | |
---|
[921] | 419 | !------------------------------------ |
---|
| 420 | ! Diags for energy conservation test |
---|
| 421 | !------------------------------------ |
---|
| 422 | DO ji = 1, nbpac |
---|
[4045] | 423 | ii = MOD( npac(ji) - 1 , jpi ) + 1 |
---|
| 424 | ij = ( npac(ji) - 1 ) / jpi + 1 |
---|
[3625] | 425 | ! |
---|
[4045] | 426 | zde = ze_newice(ji) / unit_fac * area(ii,ij) * zv_newice(ji) |
---|
[4634] | 427 | !zde = ze_newice(ji) * area(ii,ij) * zv_newice(ji) |
---|
[3625] | 428 | ! |
---|
[4634] | 429 | ! clem: change that? |
---|
[4045] | 430 | vt_i_init(ii,ij) = vt_i_init(ii,ij) + zv_newice(ji) ! volume |
---|
| 431 | et_i_init(ii,ij) = et_i_init(ii,ij) + zde ! Energy |
---|
[3625] | 432 | |
---|
[921] | 433 | END DO |
---|
[825] | 434 | |
---|
[921] | 435 | !----------------- |
---|
| 436 | ! Area of new ice |
---|
| 437 | !----------------- |
---|
| 438 | DO ji = 1, nbpac |
---|
[3625] | 439 | za_newice(ji) = zv_newice(ji) / zh_newice(ji) |
---|
[921] | 440 | END DO !ji |
---|
[825] | 441 | |
---|
[921] | 442 | !------------------------------------------------------------------------------! |
---|
| 443 | ! 6) Redistribute new ice area and volume into ice categories ! |
---|
| 444 | !------------------------------------------------------------------------------! |
---|
[825] | 445 | |
---|
[921] | 446 | !------------------------------------------- |
---|
| 447 | ! Compute excessive new ice area and volume |
---|
| 448 | !------------------------------------------- |
---|
| 449 | ! If lateral ice growth gives an ice concentration gt 1, then |
---|
[3625] | 450 | ! we keep the excessive volume in memory and attribute it later to bottom accretion |
---|
[921] | 451 | DO ji = 1, nbpac |
---|
[4045] | 452 | IF ( za_newice(ji) > ( amax - zat_i_ac(ji) ) ) THEN |
---|
| 453 | zda_res(ji) = za_newice(ji) - ( amax - zat_i_ac(ji) ) |
---|
[3625] | 454 | zdv_res(ji) = zda_res (ji) * zh_newice(ji) |
---|
| 455 | za_newice(ji) = za_newice(ji) - zda_res (ji) |
---|
| 456 | zv_newice(ji) = zv_newice(ji) - zdv_res (ji) |
---|
[921] | 457 | ELSE |
---|
[3625] | 458 | zda_res(ji) = 0._wp |
---|
| 459 | zdv_res(ji) = 0._wp |
---|
[921] | 460 | ENDIF |
---|
| 461 | END DO ! ji |
---|
[825] | 462 | |
---|
[921] | 463 | !------------------------------------------------ |
---|
| 464 | ! Laterally redistribute new ice volume and area |
---|
| 465 | !------------------------------------------------ |
---|
[2715] | 466 | zat_i_ac(:) = 0._wp |
---|
[921] | 467 | DO jl = 1, jpl |
---|
| 468 | DO ji = 1, nbpac |
---|
[3625] | 469 | IF( hi_max (jl-1) < zh_newice(ji) .AND. & |
---|
| 470 | & zh_newice(ji) <= hi_max (jl) ) THEN |
---|
[2715] | 471 | za_i_ac (ji,jl) = za_i_ac (ji,jl) + za_newice(ji) |
---|
| 472 | zv_i_ac (ji,jl) = zv_i_ac (ji,jl) + zv_newice(ji) |
---|
| 473 | zcatac (ji) = jl |
---|
[921] | 474 | ENDIF |
---|
[4634] | 475 | zat_i_ac(ji) = zat_i_ac(ji) + za_i_ac (ji,jl) |
---|
[3625] | 476 | END DO |
---|
| 477 | END DO |
---|
[825] | 478 | |
---|
[921] | 479 | !---------------------------------- |
---|
| 480 | ! Heat content - lateral accretion |
---|
| 481 | !---------------------------------- |
---|
| 482 | DO ji = 1, nbpac |
---|
[2715] | 483 | jl = zcatac(ji) ! categroy in which new ice is put |
---|
[4634] | 484 | zswinew (ji) = MAX( 0._wp , SIGN( 1._wp , - za_old(ji,jl) + epsi10 ) ) ! 0 if old ice |
---|
[921] | 485 | END DO |
---|
[825] | 486 | |
---|
[921] | 487 | DO jk = 1, nlay_i |
---|
| 488 | DO ji = 1, nbpac |
---|
| 489 | jl = zcatac(ji) |
---|
[4634] | 490 | ze_i_ac(ji,jk,jl) = zswinew(ji) * ze_newice(ji) & |
---|
| 491 | & + ( 1.0 - zswinew(ji) ) * ( ze_newice(ji) * zv_newice(ji) + ze_i_ac(ji,jk,jl) * zv_old(ji,jl) ) / zv_i_ac(ji,jl) |
---|
[2715] | 492 | END DO |
---|
| 493 | END DO |
---|
[825] | 494 | |
---|
[921] | 495 | !----------------------------------------------- |
---|
| 496 | ! Add excessive volume of new ice at the bottom |
---|
| 497 | !----------------------------------------------- |
---|
| 498 | jm = 1 |
---|
[825] | 499 | |
---|
[4634] | 500 | ! --- Redistributing energy on the new grid (energy is equally distributed in every layer) --- ! |
---|
| 501 | ! DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
---|
| 502 | ! DO jk = 1, nlay_i |
---|
| 503 | ! DO ji = 1, nbpac |
---|
| 504 | ! ze_i_ac(ji,jk,jl) = ( ze_i_ac(ji,jk,jl) * zv_i_ac(ji,jl) + ze_newice(ji) * ( zdv_res(ji) + zv_frazb(ji) ) ) / & |
---|
| 505 | ! & ( zv_i_ac(ji,jl) + ( zdv_res(ji) + zv_frazb(ji) ) ) |
---|
| 506 | ! END DO |
---|
| 507 | ! END DO |
---|
| 508 | ! END DO |
---|
[825] | 509 | |
---|
[4634] | 510 | ! --- Redistributing energy on the new grid (energy is sent to the bottom) PART 1 --- ! |
---|
[921] | 511 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
---|
| 512 | DO jk = 1, nlay_i |
---|
| 513 | DO ji = 1, nbpac |
---|
[4634] | 514 | zthick0(ji,jk,jl) = zv_i_ac(ji,jl) / REAL( nlay_i ) |
---|
[2715] | 515 | zqm0 (ji,jk,jl) = ze_i_ac(ji,jk,jl) * zthick0(ji,jk,jl) |
---|
| 516 | END DO |
---|
| 517 | END DO |
---|
| 518 | END DO |
---|
[921] | 519 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
---|
| 520 | DO ji = 1, nbpac |
---|
[4634] | 521 | zinda = MAX( 0._wp, SIGN( 1._wp , zat_i_ac(ji) - epsi10 ) ) |
---|
| 522 | zthick0(ji,nlay_i+1,jl) = zinda * ( zdv_res(ji) + zv_frazb(ji) ) * za_i_ac(ji,jl) / MAX( zat_i_ac(ji) , epsi10 ) |
---|
| 523 | zqm0 (ji,nlay_i+1,jl) = ze_newice(ji) * zthick0(ji,nlay_i+1,jl) |
---|
[921] | 524 | END DO ! ji |
---|
| 525 | END DO ! jl |
---|
| 526 | |
---|
[2715] | 527 | ze_i_ac(:,:,:) = 0._wp |
---|
[921] | 528 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
---|
| 529 | DO jk = 1, nlay_i |
---|
| 530 | DO layer = 1, nlay_i + 1 |
---|
| 531 | DO ji = 1, nbpac |
---|
[4634] | 532 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , - zthick0(ji,layer,jl) + epsi10 ) ) |
---|
| 533 | zweight = zindb * MAX( 0._wp, & |
---|
| 534 | & MIN( zv_i_ac(ji,jl) * REAL( layer ), ( zv_i_ac(ji,jl) + zthick0(ji,nlay_i+1,jl) ) * REAL( jk ) ) & |
---|
| 535 | & - MAX( zv_i_ac(ji,jl) * REAL( layer - 1 ), ( zv_i_ac(ji,jl) + zthick0(ji,nlay_i+1,jl) ) * REAL( jk - 1 ) ) ) & |
---|
| 536 | & / ( REAL( nlay_i ) * MAX( zthick0(ji,layer,jl), epsi10 ) ) |
---|
| 537 | ze_i_ac(ji,jk,jl) = ze_i_ac(ji,jk,jl) + zweight * zqm0(ji,layer,jl) |
---|
| 538 | END DO |
---|
| 539 | END DO |
---|
| 540 | END DO |
---|
| 541 | END DO |
---|
[825] | 542 | |
---|
[4634] | 543 | ! --- new volumes and layer thickness --- |
---|
[921] | 544 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
---|
[4634] | 545 | DO ji = 1, nbpac |
---|
| 546 | zinda = MAX( 0._wp, SIGN( 1._wp , zat_i_ac(ji) - epsi10 ) ) |
---|
| 547 | zv_i_ac(ji,jl) = zv_i_ac(ji,jl) + zinda * ( zdv_res(ji) + zv_frazb(ji) ) * za_i_ac(ji,jl) / MAX( zat_i_ac(ji) , epsi10 ) |
---|
| 548 | END DO |
---|
| 549 | END DO |
---|
| 550 | |
---|
| 551 | ! --- Redistributing energy on the new grid (energy is sent to the bottom) PART 2 --- ! |
---|
| 552 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
---|
[921] | 553 | DO jk = 1, nlay_i |
---|
| 554 | DO ji = 1, nbpac |
---|
[4045] | 555 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , - zv_i_ac(ji,jl) + epsi10 ) ) |
---|
[4634] | 556 | ze_i_ac(ji,jk,jl) = zindb * ze_i_ac(ji,jk,jl) / MAX( zv_i_ac(ji,jl), epsi10 ) * REAL( nlay_i ) |
---|
[921] | 557 | END DO |
---|
| 558 | END DO |
---|
| 559 | END DO |
---|
[825] | 560 | |
---|
[4634] | 561 | |
---|
[921] | 562 | !------------ |
---|
| 563 | ! Update age |
---|
| 564 | !------------ |
---|
| 565 | DO jl = 1, jpl |
---|
| 566 | DO ji = 1, nbpac |
---|
[4045] | 567 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , - za_i_ac(ji,jl) + epsi10 ) ) ! 0 if no ice and 1 if yes |
---|
[2715] | 568 | zoa_i_ac(ji,jl) = za_old(ji,jl) * zoa_i_ac(ji,jl) / MAX( za_i_ac(ji,jl) , epsi10 ) * zindb |
---|
| 569 | END DO |
---|
| 570 | END DO |
---|
[825] | 571 | |
---|
[921] | 572 | !----------------- |
---|
| 573 | ! Update salinity |
---|
| 574 | !----------------- |
---|
[4045] | 575 | !clem IF( num_sal == 2 ) THEN |
---|
[921] | 576 | DO jl = 1, jpl |
---|
| 577 | DO ji = 1, nbpac |
---|
[2715] | 578 | zdv = zv_i_ac(ji,jl) - zv_old(ji,jl) |
---|
[4634] | 579 | zsmv_i_ac(ji,jl) = zsmv_i_ac(ji,jl) + zdv * zs_newice(ji) |
---|
[2715] | 580 | END DO |
---|
| 581 | END DO |
---|
[4045] | 582 | !clem ENDIF |
---|
[825] | 583 | |
---|
[921] | 584 | !------------------------------------------------------------------------------! |
---|
| 585 | ! 8) Change 2D vectors to 1D vectors |
---|
| 586 | !------------------------------------------------------------------------------! |
---|
| 587 | DO jl = 1, jpl |
---|
[2715] | 588 | CALL tab_1d_2d( nbpac, a_i (:,:,jl), npac(1:nbpac), za_i_ac (1:nbpac,jl), jpi, jpj ) |
---|
| 589 | CALL tab_1d_2d( nbpac, v_i (:,:,jl), npac(1:nbpac), zv_i_ac (1:nbpac,jl), jpi, jpj ) |
---|
| 590 | CALL tab_1d_2d( nbpac, oa_i(:,:,jl), npac(1:nbpac), zoa_i_ac(1:nbpac,jl), jpi, jpj ) |
---|
[4634] | 591 | CALL tab_1d_2d( nbpac, smv_i (:,:,jl), npac(1:nbpac), zsmv_i_ac(1:nbpac,jl) , jpi, jpj ) |
---|
[921] | 592 | DO jk = 1, nlay_i |
---|
[2715] | 593 | CALL tab_1d_2d( nbpac, e_i(:,:,jk,jl), npac(1:nbpac), ze_i_ac(1:nbpac,jk,jl), jpi, jpj ) |
---|
| 594 | END DO |
---|
| 595 | END DO |
---|
[4634] | 596 | CALL tab_1d_2d( nbpac, sfx_opw, npac(1:nbpac), sfx_opw_1d(1:nbpac), jpi, jpj ) |
---|
| 597 | CALL tab_1d_2d( nbpac, wfx_opw, npac(1:nbpac), wfx_opw_1d(1:nbpac), jpi, jpj ) |
---|
| 598 | CALL tab_1d_2d( nbpac, wfx_opw, npac(1:nbpac), wfx_opw_1d(1:nbpac), jpi, jpj ) |
---|
| 599 | |
---|
| 600 | CALL tab_1d_2d( nbpac, hfx_thd, npac(1:nbpac), hfx_thd_1d(1:nbpac), jpi, jpj ) |
---|
| 601 | CALL tab_1d_2d( nbpac, hfx_tot, npac(1:nbpac), hfx_tot_1d(1:nbpac), jpi, jpj ) |
---|
[2715] | 602 | ! |
---|
[921] | 603 | ENDIF ! nbpac > 0 |
---|
[825] | 604 | |
---|
[921] | 605 | !------------------------------------------------------------------------------! |
---|
| 606 | ! 9) Change units for e_i |
---|
| 607 | !------------------------------------------------------------------------------! |
---|
[825] | 608 | DO jl = 1, jpl |
---|
[4634] | 609 | DO jk = 1, nlay_i |
---|
| 610 | DO jj = 1, jpj |
---|
| 611 | DO ji = 1, jpi |
---|
| 612 | ! heat content in Joules |
---|
| 613 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) * area(ji,jj) * v_i(ji,jj,jl) / ( REAL( nlay_i ) * unit_fac ) |
---|
| 614 | !e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) * area(ji,jj) * v_i(ji,jj,jl) / ( REAL( nlay_i ) ) |
---|
| 615 | END DO |
---|
| 616 | END DO |
---|
[825] | 617 | END DO |
---|
| 618 | END DO |
---|
| 619 | |
---|
[921] | 620 | !------------------------------------------------------------------------------| |
---|
| 621 | ! 10) Conservation check and changes in each ice category |
---|
| 622 | !------------------------------------------------------------------------------| |
---|
[2715] | 623 | IF( con_i ) THEN |
---|
[921] | 624 | CALL lim_column_sum (jpl, v_i, vt_i_final) |
---|
| 625 | fieldid = 'v_i, limthd_lac' |
---|
| 626 | CALL lim_cons_check (vt_i_init, vt_i_final, 1.0e-6, fieldid) |
---|
[2715] | 627 | ! |
---|
[921] | 628 | CALL lim_column_sum_energy(jpl, nlay_i, e_i, et_i_final) |
---|
| 629 | fieldid = 'e_i, limthd_lac' |
---|
| 630 | CALL lim_cons_check (et_i_final, et_i_final, 1.0e-3, fieldid) |
---|
[2715] | 631 | ! |
---|
[921] | 632 | CALL lim_column_sum (jpl, v_s, vt_s_final) |
---|
| 633 | fieldid = 'v_s, limthd_lac' |
---|
| 634 | CALL lim_cons_check (vt_s_init, vt_s_final, 1.0e-6, fieldid) |
---|
[2715] | 635 | ! |
---|
[921] | 636 | ! CALL lim_column_sum (jpl, e_s(:,:,1,:) , et_s_init) |
---|
| 637 | ! fieldid = 'e_s, limthd_lac' |
---|
| 638 | ! CALL lim_cons_check (et_s_init, et_s_final, 1.0e-3, fieldid) |
---|
| 639 | IF( ln_nicep ) THEN |
---|
[4332] | 640 | DO ji = mi0(jiindx), mi1(jiindx) |
---|
| 641 | DO jj = mj0(jjindx), mj1(jjindx) |
---|
| 642 | WRITE(numout,*) ' vt_i_init : ', vt_i_init (ji,jj) |
---|
| 643 | WRITE(numout,*) ' vt_i_final: ', vt_i_final(ji,jj) |
---|
| 644 | WRITE(numout,*) ' et_i_init : ', et_i_init (ji,jj) |
---|
| 645 | WRITE(numout,*) ' et_i_final: ', et_i_final(ji,jj) |
---|
| 646 | END DO |
---|
| 647 | END DO |
---|
[921] | 648 | ENDIF |
---|
[2715] | 649 | ! |
---|
[834] | 650 | ENDIF |
---|
[2715] | 651 | ! |
---|
[3294] | 652 | CALL wrk_dealloc( jpij, zcatac ) ! integer |
---|
| 653 | CALL wrk_dealloc( jpij, zswinew, zv_newice, za_newice, zh_newice, ze_newice, zs_newice, zo_newice ) |
---|
[4634] | 654 | CALL wrk_dealloc( jpij, zdv_res, zda_res, zat_i_ac, zat_i_lev, zv_frazb, zvrel_ac ) |
---|
| 655 | CALL wrk_dealloc( jpij,jpl, zv_old, za_old, za_i_ac, zv_i_ac, zoa_i_ac, zsmv_i_ac ) |
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[3294] | 656 | CALL wrk_dealloc( jpij,jkmax,jpl, ze_i_ac ) |
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| 657 | CALL wrk_dealloc( jpij,jkmax+1,jpl, zqm0, zthick0 ) |
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| 658 | 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] | 659 | ! |
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[825] | 660 | END SUBROUTINE lim_thd_lac |
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| 661 | |
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| 662 | #else |
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[2715] | 663 | !!---------------------------------------------------------------------- |
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| 664 | !! Default option NO LIM3 sea-ice model |
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| 665 | !!---------------------------------------------------------------------- |
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[825] | 666 | CONTAINS |
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| 667 | SUBROUTINE lim_thd_lac ! Empty routine |
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| 668 | END SUBROUTINE lim_thd_lac |
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| 669 | #endif |
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[2715] | 670 | |
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| 671 | !!====================================================================== |
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[825] | 672 | END MODULE limthd_lac |
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