| 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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| 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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| 11 | #if defined key_lim3 |
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| 12 | !!---------------------------------------------------------------------- |
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| 13 | !! 'key_lim3' LIM3 sea-ice model |
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| 14 | !!---------------------------------------------------------------------- |
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| 15 | !! lim_lat_acr : lateral accretion of ice |
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| 16 | !!---------------------------------------------------------------------- |
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| 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 wrk_nemo ! workspace manager |
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| 29 | USE in_out_manager ! I/O manager |
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| 30 | USE lib_mpp ! MPP library |
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| 31 | |
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| 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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| 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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| 45 | |
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| 46 | !!---------------------------------------------------------------------- |
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| 47 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
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| 48 | !! $Id$ |
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| 49 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 50 | !!---------------------------------------------------------------------- |
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| 51 | CONTAINS |
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| 52 | |
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| 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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| 79 | USE wrk_nemo, ONLY : vt_i_init => wrk_2d_1 , vt_i_final => wrk_2d_4 , et_i_init => wrk_2d_7 |
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| 80 | USE wrk_nemo, ONLY : vt_s_init => wrk_2d_2 , vt_s_final => wrk_2d_5 , et_s_init => wrk_2d_8 |
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| 81 | USE wrk_nemo, ONLY : zvrel => wrk_2d_3 , et_i_final => wrk_2d_6 |
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| 82 | ! |
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| 83 | INTEGER :: ji,jj,jk,jl,jm ! dummy loop indices |
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| 84 | INTEGER :: layer, nbpac ! local integers |
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| 85 | INTEGER :: zji, zjj, iter ! - - |
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| 86 | REAL(wp) :: ztmelts, zdv, zqold, zfrazb, zweight, zalphai, zindb, zde ! local scalars |
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| 87 | REAL(wp) :: zgamafr, zvfrx, zvgx, ztaux, ztwogp, zf , zhicol_new ! - - |
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| 88 | REAL(wp) :: ztenagm, zvfry, zvgy, ztauy, zvrel2, zfp, zsqcd , zhicrit ! - - |
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| 89 | LOGICAL :: iterate_frazil ! iterate frazil ice collection thickness |
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| 90 | CHARACTER (len = 15) :: fieldid |
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| 91 | ! |
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| 92 | INTEGER, DIMENSION(jpij) :: zcatac ! indexes of categories where new ice grows |
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| 93 | |
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| 94 | REAL(wp), DIMENSION(jpij,jpl) :: zhice_old ! previous ice thickness |
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| 95 | REAL(wp), DIMENSION(jpij,jpl) :: zdummy ! dummy thickness of new ice |
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| 96 | REAL(wp), DIMENSION(jpij,jpl) :: zdhicbot ! thickness of new ice which is accreted vertically |
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| 97 | REAL(wp), DIMENSION(jpij,jpl) :: zv_old ! old volume of ice in category jl |
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| 98 | REAL(wp), DIMENSION(jpij,jpl) :: za_old ! old area of ice in category jl |
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| 99 | REAL(wp), DIMENSION(jpij,jpl) :: za_i_ac ! 1-D version of a_i |
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| 100 | REAL(wp), DIMENSION(jpij,jpl) :: zv_i_ac ! 1-D version of v_i |
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| 101 | REAL(wp), DIMENSION(jpij,jpl) :: zoa_i_ac ! 1-D version of oa_i |
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| 102 | REAL(wp), DIMENSION(jpij,jpl) :: zsmv_i_ac ! 1-D version of smv_i |
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| 103 | |
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| 104 | REAL(wp), DIMENSION(jpij,jkmax ,jpl) :: ze_i_ac !: 1-D version of e_i |
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| 105 | REAL(wp), DIMENSION(jpij,jkmax+1,jpl) :: zqm0 ! old layer-system heat content |
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| 106 | REAL(wp), DIMENSION(jpij,jkmax+1,jpl) :: zthick0 ! old ice thickness |
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| 107 | |
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| 108 | REAL(wp), POINTER, DIMENSION(:) :: zv_newice, zh_newice, zs_newice, zdv_res, zat_i_ac , zdh_frazb, zqbgow |
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| 109 | REAL(wp), POINTER, DIMENSION(:) :: za_newice, ze_newice, zo_newice, zda_res, zat_i_lev, zvrel_ac , zdhex |
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| 110 | REAL(wp), POINTER, DIMENSION(:) :: zswinew |
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| 111 | !!-----------------------------------------------------------------------! |
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| 112 | |
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| 113 | IF( wrk_in_use(1, 1,2,3,4,5,6,7,8,9,10,11,12,13,14) .OR. & |
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| 114 | & wrk_in_use(2, 1,2,3,4,5,6,7,8) ) THEN |
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| 115 | CALL ctl_stop('lim_thd_dh : requestead workspace arrays unavailable.') ; RETURN |
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| 116 | END IF |
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| 117 | ! Set-up pointers to sub-arrays of workspace arrays |
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| 118 | zv_newice => wrk_1d_1 (1:jpij) ! volume of accreted ice |
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| 119 | za_newice => wrk_1d_2 (1:jpij) ! fractional area of accreted ice |
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| 120 | zh_newice => wrk_1d_3 (1:jpij) ! thickness of accreted ice |
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| 121 | ze_newice => wrk_1d_4 (1:jpij) ! heat content of accreted ice |
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| 122 | zs_newice => wrk_1d_5 (1:jpij) ! salinity of accreted ice |
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| 123 | zo_newice => wrk_1d_6 (1:jpij) ! age of accreted ice |
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| 124 | zdv_res => wrk_1d_7 (1:jpij) ! residual volume in case of excessive heat budget |
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| 125 | zda_res => wrk_1d_8 (1:jpij) ! residual area in case of excessive heat budget |
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| 126 | zat_i_ac => wrk_1d_9 (1:jpij) ! total ice fraction |
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| 127 | zat_i_lev => wrk_1d_10(1:jpij) ! total ice fraction for level ice only (type 1) |
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| 128 | zdh_frazb => wrk_1d_11(1:jpij) ! accretion of frazil ice at the ice bottom |
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| 129 | zvrel_ac => wrk_1d_12(1:jpij) ! relative ice / frazil velocity (1D vector) |
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| 130 | zqbgow => wrk_1d_13(1:jpij) ! heat budget of the open water (negative) |
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| 131 | zdhex => wrk_1d_14(1:jpij) ! excessively thick accreted sea ice (hlead-hice) |
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| 132 | |
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| 133 | |
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| 134 | |
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| 135 | et_i_init(:,:) = 0._wp |
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| 136 | et_s_init(:,:) = 0._wp |
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| 137 | vt_i_init(:,:) = 0._wp |
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| 138 | vt_s_init(:,:) = 0._wp |
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| 139 | |
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| 140 | !------------------------------------------------------------------------------! |
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| 141 | ! 1) Conservation check and changes in each ice category |
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| 142 | !------------------------------------------------------------------------------! |
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| 143 | IF ( con_i ) THEN |
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| 144 | CALL lim_column_sum (jpl, v_i, vt_i_init) |
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| 145 | CALL lim_column_sum (jpl, v_s, vt_s_init) |
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| 146 | CALL lim_column_sum_energy (jpl, nlay_i, e_i, et_i_init) |
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| 147 | CALL lim_column_sum (jpl, e_s(:,:,1,:) , et_s_init) |
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| 148 | ENDIF |
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| 149 | |
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| 150 | !------------------------------------------------------------------------------| |
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| 151 | ! 2) Convert units for ice internal energy |
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| 152 | !------------------------------------------------------------------------------| |
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| 153 | DO jl = 1, jpl |
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| 154 | DO jk = 1, nlay_i |
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| 155 | DO jj = 1, jpj |
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| 156 | DO ji = 1, jpi |
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| 157 | !Energy of melting q(S,T) [J.m-3] |
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| 158 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) / & |
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| 159 | MAX( area(ji,jj) * v_i(ji,jj,jl) , epsi10 ) * & |
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| 160 | nlay_i |
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| 161 | 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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| 162 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl)*unit_fac*zindb |
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| 163 | END DO |
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| 164 | END DO |
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| 165 | END DO |
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| 166 | END DO |
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| 167 | |
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| 168 | !------------------------------------------------------------------------------! |
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| 169 | ! 3) Collection thickness of ice formed in leads and polynyas |
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| 170 | !------------------------------------------------------------------------------! |
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| 171 | ! hicol is the thickness of new ice formed in open water |
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| 172 | ! hicol can be either prescribed (frazswi = 0) |
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| 173 | ! or computed (frazswi = 1) |
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| 174 | ! Frazil ice forms in open water, is transported by wind |
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| 175 | ! accumulates at the edge of the consolidated ice edge |
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| 176 | ! where it forms aggregates of a specific thickness called |
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| 177 | ! collection thickness. |
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| 178 | |
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| 179 | ! Note : the following algorithm currently breaks vectorization |
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| 180 | ! |
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| 181 | |
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| 182 | zvrel(:,:) = 0.0 |
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| 183 | |
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| 184 | ! Default new ice thickness |
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| 185 | DO jj = 1, jpj |
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| 186 | DO ji = 1, jpi |
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| 187 | hicol(ji,jj) = hiccrit(1) |
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| 188 | END DO |
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| 189 | END DO |
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| 190 | |
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| 191 | IF (fraz_swi.eq.1.0) THEN |
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| 192 | |
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| 193 | !-------------------- |
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| 194 | ! Physical constants |
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| 195 | !-------------------- |
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| 196 | hicol(:,:) = 0.0 |
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| 197 | |
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| 198 | zhicrit = 0.04 ! frazil ice thickness |
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| 199 | ztwogp = 2. * rau0 / ( grav * 0.3 * ( rau0 - rhoic ) ) ! reduced grav |
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| 200 | zsqcd = 1.0 / SQRT( 1.3 * cai ) ! 1/SQRT(airdensity*drag) |
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| 201 | zgamafr = 0.03 |
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| 202 | |
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| 203 | DO jj = 1, jpj |
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| 204 | DO ji = 1, jpi |
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| 205 | |
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| 206 | IF ( tms(ji,jj) * ( qcmif(ji,jj) - qldif(ji,jj) ) > 0.e0 ) THEN |
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| 207 | !------------- |
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| 208 | ! Wind stress |
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| 209 | !------------- |
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| 210 | ! C-grid wind stress components |
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| 211 | ztaux = ( utau_ice(ji-1,jj ) * tmu(ji-1,jj ) & |
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| 212 | & + utau_ice(ji ,jj ) * tmu(ji ,jj ) ) / 2.0 |
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| 213 | ztauy = ( vtau_ice(ji ,jj-1) * tmv(ji ,jj-1) & |
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| 214 | & + vtau_ice(ji ,jj ) * tmv(ji ,jj ) ) / 2.0 |
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| 215 | ! Square root of wind stress |
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| 216 | ztenagm = SQRT( SQRT( ztaux * ztaux + ztauy * ztauy ) ) |
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| 217 | |
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| 218 | !--------------------- |
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| 219 | ! Frazil ice velocity |
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| 220 | !--------------------- |
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| 221 | zvfrx = zgamafr * zsqcd * ztaux / MAX(ztenagm,epsi10) |
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| 222 | zvfry = zgamafr * zsqcd * ztauy / MAX(ztenagm,epsi10) |
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| 223 | |
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| 224 | !------------------- |
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| 225 | ! Pack ice velocity |
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| 226 | !------------------- |
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| 227 | ! C-grid ice velocity |
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| 228 | zindb = MAX(0.0, SIGN(1.0, at_i(ji,jj) )) |
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| 229 | zvgx = zindb * ( u_ice(ji-1,jj ) * tmu(ji-1,jj ) & |
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| 230 | + u_ice(ji,jj ) * tmu(ji ,jj ) ) / 2.0 |
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| 231 | zvgy = zindb * ( v_ice(ji ,jj-1) * tmv(ji ,jj-1) & |
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| 232 | + v_ice(ji,jj ) * tmv(ji ,jj ) ) / 2.0 |
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| 233 | |
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| 234 | !----------------------------------- |
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| 235 | ! Relative frazil/pack ice velocity |
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| 236 | !----------------------------------- |
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| 237 | ! absolute relative velocity |
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| 238 | zvrel2 = MAX( ( zvfrx - zvgx ) * ( zvfrx - zvgx ) + & |
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| 239 | ( zvfry - zvgy ) * ( zvfry - zvgy ) & |
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| 240 | , 0.15 * 0.15 ) |
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| 241 | zvrel(ji,jj) = SQRT(zvrel2) |
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| 242 | |
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| 243 | !--------------------- |
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| 244 | ! Iterative procedure |
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| 245 | !--------------------- |
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| 246 | hicol(ji,jj) = zhicrit + 0.1 |
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| 247 | hicol(ji,jj) = zhicrit + hicol(ji,jj) / & |
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| 248 | ( hicol(ji,jj) * hicol(ji,jj) - & |
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| 249 | zhicrit * zhicrit ) * ztwogp * zvrel2 |
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| 250 | |
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| 251 | iter = 1 |
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| 252 | iterate_frazil = .true. |
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| 253 | |
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| 254 | DO WHILE ( iter .LT. 100 .AND. iterate_frazil ) |
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| 255 | zf = ( hicol(ji,jj) - zhicrit ) * ( hicol(ji,jj)**2 - zhicrit**2 ) & |
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| 256 | - hicol(ji,jj) * zhicrit * ztwogp * zvrel2 |
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| 257 | zfp = ( hicol(ji,jj) - zhicrit ) * ( 3.0*hicol(ji,jj) + zhicrit ) & |
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| 258 | - zhicrit * ztwogp * zvrel2 |
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| 259 | zhicol_new = hicol(ji,jj) - zf/zfp |
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| 260 | hicol(ji,jj) = zhicol_new |
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| 261 | |
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| 262 | iter = iter + 1 |
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| 263 | |
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| 264 | END DO ! do while |
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| 265 | |
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| 266 | ENDIF ! end of selection of pixels where ice forms |
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| 267 | |
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| 268 | END DO ! loop on ji ends |
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| 269 | END DO ! loop on jj ends |
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| 270 | |
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| 271 | ENDIF ! End of computation of frazil ice collection thickness |
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| 272 | |
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| 273 | !------------------------------------------------------------------------------! |
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| 274 | ! 4) Identify grid points where new ice forms |
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| 275 | !------------------------------------------------------------------------------! |
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| 276 | |
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| 277 | !------------------------------------- |
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| 278 | ! Select points for new ice formation |
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| 279 | !------------------------------------- |
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| 280 | ! This occurs if open water energy budget is negative |
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| 281 | nbpac = 0 |
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| 282 | DO jj = 1, jpj |
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| 283 | DO ji = 1, jpi |
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| 284 | IF ( tms(ji,jj) * ( qcmif(ji,jj) - qldif(ji,jj) ) > 0.e0 ) THEN |
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| 285 | nbpac = nbpac + 1 |
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| 286 | npac( nbpac ) = (jj - 1) * jpi + ji |
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| 287 | IF ( (ji.eq.jiindx).AND.(jj.eq.jjindx) ) THEN |
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| 288 | jiindex_1d = nbpac |
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| 289 | ENDIF |
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| 290 | ENDIF |
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| 291 | END DO |
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| 292 | END DO |
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| 293 | |
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| 294 | IF( ln_nicep ) THEN |
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| 295 | WRITE(numout,*) 'lim_thd_lac : nbpac = ', nbpac |
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| 296 | ENDIF |
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| 297 | |
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| 298 | !------------------------------ |
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| 299 | ! Move from 2-D to 1-D vectors |
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| 300 | !------------------------------ |
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| 301 | ! If ocean gains heat do nothing |
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| 302 | ! 0therwise compute new ice formation |
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| 303 | |
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| 304 | IF ( nbpac > 0 ) THEN |
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| 305 | |
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| 306 | CALL tab_2d_1d( nbpac, zat_i_ac (1:nbpac) , at_i , & |
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| 307 | jpi, jpj, npac(1:nbpac) ) |
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| 308 | DO jl = 1, jpl |
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| 309 | CALL tab_2d_1d( nbpac, za_i_ac(1:nbpac,jl) , a_i(:,:,jl) , & |
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| 310 | jpi, jpj, npac(1:nbpac) ) |
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| 311 | CALL tab_2d_1d( nbpac, zv_i_ac(1:nbpac,jl) , v_i(:,:,jl) , & |
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| 312 | jpi, jpj, npac(1:nbpac) ) |
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| 313 | CALL tab_2d_1d( nbpac, zoa_i_ac(1:nbpac,jl) , oa_i(:,:,jl) , & |
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| 314 | jpi, jpj, npac(1:nbpac) ) |
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| 315 | CALL tab_2d_1d( nbpac, zsmv_i_ac(1:nbpac,jl), smv_i(:,:,jl), & |
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| 316 | jpi, jpj, npac(1:nbpac) ) |
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| 317 | DO jk = 1, nlay_i |
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| 318 | CALL tab_2d_1d( nbpac, ze_i_ac(1:nbpac,jk,jl), e_i(:,:,jk,jl) , & |
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| 319 | jpi, jpj, npac(1:nbpac) ) |
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| 320 | END DO ! jk |
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| 321 | END DO ! jl |
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| 322 | |
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| 323 | CALL tab_2d_1d( nbpac, qldif_1d (1:nbpac) , qldif , & |
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| 324 | jpi, jpj, npac(1:nbpac) ) |
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| 325 | CALL tab_2d_1d( nbpac, qcmif_1d (1:nbpac) , qcmif , & |
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| 326 | jpi, jpj, npac(1:nbpac) ) |
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| 327 | CALL tab_2d_1d( nbpac, t_bo_b (1:nbpac) , t_bo , & |
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| 328 | jpi, jpj, npac(1:nbpac) ) |
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| 329 | CALL tab_2d_1d( nbpac, fseqv_1d (1:nbpac) , fseqv , & |
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| 330 | jpi, jpj, npac(1:nbpac) ) |
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| 331 | CALL tab_2d_1d( nbpac, hicol_b (1:nbpac) , hicol , & |
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| 332 | jpi, jpj, npac(1:nbpac) ) |
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| 333 | CALL tab_2d_1d( nbpac, zvrel_ac (1:nbpac) , zvrel , & |
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| 334 | jpi, jpj, npac(1:nbpac) ) |
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| 335 | |
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| 336 | !------------------------------------------------------------------------------! |
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| 337 | ! 5) Compute thickness, salinity, enthalpy, age, area and volume of new ice |
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| 338 | !------------------------------------------------------------------------------! |
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| 339 | |
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| 340 | !---------------------- |
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| 341 | ! Thickness of new ice |
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| 342 | !---------------------- |
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| 343 | DO ji = 1, nbpac |
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| 344 | zh_newice(ji) = hiccrit(1) |
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| 345 | END DO |
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| 346 | IF ( fraz_swi .EQ. 1.0 ) zh_newice(:) = hicol_b(:) |
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| 347 | |
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| 348 | !---------------------- |
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| 349 | ! Salinity of new ice |
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| 350 | !---------------------- |
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| 351 | |
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| 352 | IF ( num_sal .EQ. 1 ) THEN |
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| 353 | zs_newice(:) = bulk_sal |
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| 354 | ENDIF ! num_sal |
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| 355 | |
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| 356 | IF ( ( num_sal .EQ. 2 ) .OR. ( num_sal .EQ. 4 ) ) THEN |
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| 357 | |
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| 358 | DO ji = 1, nbpac |
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| 359 | zs_newice(ji) = MIN( 4.606 + 0.91 / zh_newice(ji) , s_i_max ) |
|---|
| 360 | zji = MOD( npac(ji) - 1, jpi ) + 1 |
|---|
| 361 | zjj = ( npac(ji) - 1 ) / jpi + 1 |
|---|
| 362 | zs_newice(ji) = MIN( 0.5*sss_m(zji,zjj) , zs_newice(ji) ) |
|---|
| 363 | END DO ! jl |
|---|
| 364 | |
|---|
| 365 | ENDIF ! num_sal |
|---|
| 366 | |
|---|
| 367 | IF ( num_sal .EQ. 3 ) THEN |
|---|
| 368 | zs_newice(:) = 2.3 |
|---|
| 369 | ENDIF ! num_sal |
|---|
| 370 | |
|---|
| 371 | !------------------------- |
|---|
| 372 | ! Heat content of new ice |
|---|
| 373 | !------------------------- |
|---|
| 374 | ! We assume that new ice is formed at the seawater freezing point |
|---|
| 375 | DO ji = 1, nbpac |
|---|
| 376 | ztmelts = - tmut * zs_newice(ji) + rtt ! Melting point (K) |
|---|
| 377 | ze_newice(ji) = rhoic * ( cpic * ( ztmelts - t_bo_b(ji) ) & |
|---|
| 378 | + lfus * ( 1.0 - ( ztmelts - rtt ) & |
|---|
| 379 | / ( t_bo_b(ji) - rtt ) ) & |
|---|
| 380 | - rcp * ( ztmelts-rtt ) ) |
|---|
| 381 | ze_newice(ji) = MAX( ze_newice(ji) , 0.0 ) + & |
|---|
| 382 | MAX( 0.0 , SIGN( 1.0 , - ze_newice(ji) ) ) & |
|---|
| 383 | * rhoic * lfus |
|---|
| 384 | END DO ! ji |
|---|
| 385 | !---------------- |
|---|
| 386 | ! Age of new ice |
|---|
| 387 | !---------------- |
|---|
| 388 | DO ji = 1, nbpac |
|---|
| 389 | zo_newice(ji) = 0.0 |
|---|
| 390 | END DO ! ji |
|---|
| 391 | |
|---|
| 392 | !-------------------------- |
|---|
| 393 | ! Open water energy budget |
|---|
| 394 | !-------------------------- |
|---|
| 395 | DO ji = 1, nbpac |
|---|
| 396 | zqbgow(ji) = qldif_1d(ji) - qcmif_1d(ji) !<0 |
|---|
| 397 | END DO ! ji |
|---|
| 398 | |
|---|
| 399 | !------------------- |
|---|
| 400 | ! Volume of new ice |
|---|
| 401 | !------------------- |
|---|
| 402 | DO ji = 1, nbpac |
|---|
| 403 | zv_newice(ji) = - zqbgow(ji) / ze_newice(ji) |
|---|
| 404 | |
|---|
| 405 | ! A fraction zfrazb of frazil ice is accreted at the ice bottom |
|---|
| 406 | zfrazb = ( TANH ( Cfrazb * ( zvrel_ac(ji) - vfrazb ) ) & |
|---|
| 407 | + 1.0 ) / 2.0 * maxfrazb |
|---|
| 408 | zdh_frazb(ji) = zfrazb*zv_newice(ji) |
|---|
| 409 | zv_newice(ji) = ( 1.0 - zfrazb ) * zv_newice(ji) |
|---|
| 410 | END DO |
|---|
| 411 | |
|---|
| 412 | !--------------------------------- |
|---|
| 413 | ! Salt flux due to new ice growth |
|---|
| 414 | !--------------------------------- |
|---|
| 415 | IF ( ( num_sal .EQ. 4 ) ) THEN |
|---|
| 416 | DO ji = 1, nbpac |
|---|
| 417 | zji = MOD( npac(ji) - 1, jpi ) + 1 |
|---|
| 418 | zjj = ( npac(ji) - 1 ) / jpi + 1 |
|---|
| 419 | fseqv_1d(ji) = fseqv_1d(ji) + & |
|---|
| 420 | ( sss_m(zji,zjj) - bulk_sal ) * rhoic * & |
|---|
| 421 | zv_newice(ji) / rdt_ice |
|---|
| 422 | END DO |
|---|
| 423 | ELSE |
|---|
| 424 | DO ji = 1, nbpac |
|---|
| 425 | zji = MOD( npac(ji) - 1, jpi ) + 1 |
|---|
| 426 | zjj = ( npac(ji) - 1 ) / jpi + 1 |
|---|
| 427 | fseqv_1d(ji) = fseqv_1d(ji) + & |
|---|
| 428 | ( sss_m(zji,zjj) - zs_newice(ji) ) * rhoic * & |
|---|
| 429 | zv_newice(ji) / rdt_ice |
|---|
| 430 | END DO ! ji |
|---|
| 431 | ENDIF |
|---|
| 432 | |
|---|
| 433 | !------------------------------------ |
|---|
| 434 | ! Diags for energy conservation test |
|---|
| 435 | !------------------------------------ |
|---|
| 436 | DO ji = 1, nbpac |
|---|
| 437 | ! Volume |
|---|
| 438 | zji = MOD( npac(ji) - 1, jpi ) + 1 |
|---|
| 439 | zjj = ( npac(ji) - 1 ) / jpi + 1 |
|---|
| 440 | vt_i_init(zji,zjj) = vt_i_init(zji,zjj) + zv_newice(ji) |
|---|
| 441 | ! Energy |
|---|
| 442 | zde = ze_newice(ji) / unit_fac |
|---|
| 443 | zde = zde * area(zji,zjj) * zv_newice(ji) |
|---|
| 444 | et_i_init(zji,zjj) = et_i_init(zji,zjj) + zde |
|---|
| 445 | END DO |
|---|
| 446 | |
|---|
| 447 | ! keep new ice volume in memory |
|---|
| 448 | CALL tab_1d_2d( nbpac, v_newice , npac(1:nbpac), zv_newice(1:nbpac) , & |
|---|
| 449 | jpi, jpj ) |
|---|
| 450 | |
|---|
| 451 | !----------------- |
|---|
| 452 | ! Area of new ice |
|---|
| 453 | !----------------- |
|---|
| 454 | DO ji = 1, nbpac |
|---|
| 455 | za_newice(ji) = zv_newice(ji) / zh_newice(ji) |
|---|
| 456 | ! diagnostic |
|---|
| 457 | zji = MOD( npac(ji) - 1, jpi ) + 1 |
|---|
| 458 | zjj = ( npac(ji) - 1 ) / jpi + 1 |
|---|
| 459 | diag_lat_gr(zji,zjj) = zv_newice(ji) / rdt_ice |
|---|
| 460 | END DO !ji |
|---|
| 461 | |
|---|
| 462 | !------------------------------------------------------------------------------! |
|---|
| 463 | ! 6) Redistribute new ice area and volume into ice categories ! |
|---|
| 464 | !------------------------------------------------------------------------------! |
|---|
| 465 | |
|---|
| 466 | !----------------------------------------- |
|---|
| 467 | ! Keep old ice areas and volume in memory |
|---|
| 468 | !----------------------------------------- |
|---|
| 469 | zv_old(:,:) = zv_i_ac(:,:) |
|---|
| 470 | za_old(:,:) = za_i_ac(:,:) |
|---|
| 471 | |
|---|
| 472 | !------------------------------------------- |
|---|
| 473 | ! Compute excessive new ice area and volume |
|---|
| 474 | !------------------------------------------- |
|---|
| 475 | ! If lateral ice growth gives an ice concentration gt 1, then |
|---|
| 476 | ! we keep the excessive volume in memory and attribute it later |
|---|
| 477 | ! to bottom accretion |
|---|
| 478 | DO ji = 1, nbpac |
|---|
| 479 | ! vectorize |
|---|
| 480 | IF ( za_newice(ji) .GT. ( 1.0 - zat_i_ac(ji) ) ) THEN |
|---|
| 481 | zda_res(ji) = za_newice(ji) - (1.0 - zat_i_ac(ji) ) |
|---|
| 482 | zdv_res(ji) = zda_res(ji) * zh_newice(ji) |
|---|
| 483 | za_newice(ji) = za_newice(ji) - zda_res(ji) |
|---|
| 484 | zv_newice(ji) = zv_newice(ji) - zdv_res(ji) |
|---|
| 485 | ELSE |
|---|
| 486 | zda_res(ji) = 0.0 |
|---|
| 487 | zdv_res(ji) = 0.0 |
|---|
| 488 | ENDIF |
|---|
| 489 | END DO ! ji |
|---|
| 490 | |
|---|
| 491 | !------------------------------------------------ |
|---|
| 492 | ! Laterally redistribute new ice volume and area |
|---|
| 493 | !------------------------------------------------ |
|---|
| 494 | zat_i_ac(:) = 0._wp |
|---|
| 495 | DO jl = 1, jpl |
|---|
| 496 | DO ji = 1, nbpac |
|---|
| 497 | IF( hi_max (jl-1) < zh_newice(ji) .AND. & |
|---|
| 498 | & zh_newice(ji) <= hi_max (jl) ) THEN |
|---|
| 499 | za_i_ac (ji,jl) = za_i_ac (ji,jl) + za_newice(ji) |
|---|
| 500 | zv_i_ac (ji,jl) = zv_i_ac (ji,jl) + zv_newice(ji) |
|---|
| 501 | zat_i_ac(ji) = zat_i_ac(ji) + za_i_ac (ji,jl) |
|---|
| 502 | zcatac (ji) = jl |
|---|
| 503 | ENDIF |
|---|
| 504 | END DO ! ji |
|---|
| 505 | END DO ! jl |
|---|
| 506 | |
|---|
| 507 | !---------------------------------- |
|---|
| 508 | ! Heat content - lateral accretion |
|---|
| 509 | !---------------------------------- |
|---|
| 510 | DO ji = 1, nbpac |
|---|
| 511 | jl = zcatac(ji) ! categroy in which new ice is put |
|---|
| 512 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , -za_old(ji,jl) ) ) ! zindb=1 if ice =0 otherwise |
|---|
| 513 | zhice_old(ji,jl) = zv_old(ji,jl) / MAX( za_old(ji,jl) , epsi10 ) * zindb ! old ice thickness |
|---|
| 514 | zdhex (ji) = MAX( 0._wp , zh_newice(ji) - zhice_old(ji,jl) ) ! difference in thickness |
|---|
| 515 | zswinew (ji) = MAX( 0._wp , SIGN( 1._wp , - za_old(ji,jl) + epsi11 ) ) ! ice totally new in jl category |
|---|
| 516 | END DO |
|---|
| 517 | |
|---|
| 518 | DO jk = 1, nlay_i |
|---|
| 519 | DO ji = 1, nbpac |
|---|
| 520 | jl = zcatac(ji) |
|---|
| 521 | zqold = ze_i_ac(ji,jk,jl) ! [ J.m-3 ] |
|---|
| 522 | zalphai = MIN( zhice_old(ji,jl) * jk / nlay_i , zh_newice(ji) ) & |
|---|
| 523 | & - MIN( zhice_old(ji,jl) * ( jk - 1 ) / nlay_i , zh_newice(ji) ) |
|---|
| 524 | ze_i_ac(ji,jk,jl) = zswinew(ji) * ze_newice(ji) & |
|---|
| 525 | + ( 1.0 - zswinew(ji) ) * ( za_old(ji,jl) * zqold * zhice_old(ji,jl) / nlay_i & |
|---|
| 526 | + za_newice(ji) * ze_newice(ji) * zalphai & |
|---|
| 527 | + za_newice(ji) * ze_newice(ji) * zdhex(ji) / nlay_i ) / ( ( zv_i_ac(ji,jl) ) / nlay_i ) |
|---|
| 528 | END DO |
|---|
| 529 | END DO |
|---|
| 530 | |
|---|
| 531 | !----------------------------------------------- |
|---|
| 532 | ! Add excessive volume of new ice at the bottom |
|---|
| 533 | !----------------------------------------------- |
|---|
| 534 | ! If the ice concentration exceeds 1, the remaining volume of new ice |
|---|
| 535 | ! is equally redistributed among all ice categories in which there is |
|---|
| 536 | ! ice |
|---|
| 537 | |
|---|
| 538 | ! Fraction of level ice |
|---|
| 539 | jm = 1 |
|---|
| 540 | zat_i_lev(:) = 0._wp |
|---|
| 541 | |
|---|
| 542 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
|---|
| 543 | DO ji = 1, nbpac |
|---|
| 544 | zat_i_lev(ji) = zat_i_lev(ji) + za_i_ac(ji,jl) |
|---|
| 545 | END DO |
|---|
| 546 | END DO |
|---|
| 547 | |
|---|
| 548 | IF( ln_nicep ) WRITE(numout,*) ' zv_i_ac : ', zv_i_ac(jiindx, 1:jpl) |
|---|
| 549 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
|---|
| 550 | DO ji = 1, nbpac |
|---|
| 551 | zindb = MAX( 0._wp, SIGN( 1._wp , zdv_res(ji) ) ) |
|---|
| 552 | 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 ) |
|---|
| 553 | END DO |
|---|
| 554 | END DO |
|---|
| 555 | IF( ln_nicep ) WRITE(numout,*) ' zv_i_ac : ', zv_i_ac(jiindx, 1:jpl) |
|---|
| 556 | |
|---|
| 557 | !--------------------------------- |
|---|
| 558 | ! Heat content - bottom accretion |
|---|
| 559 | !--------------------------------- |
|---|
| 560 | jm = 1 |
|---|
| 561 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
|---|
| 562 | DO ji = 1, nbpac |
|---|
| 563 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , - za_i_ac(ji,jl ) ) ) ! zindb=1 if ice =0 otherwise |
|---|
| 564 | zhice_old(ji,jl) = zv_i_ac(ji,jl) / MAX( za_i_ac(ji,jl) , epsi10 ) * zindb |
|---|
| 565 | zdhicbot (ji,jl) = zdv_res(ji) / MAX( za_i_ac(ji,jl) , epsi10 ) * zindb & |
|---|
| 566 | & + zindb * zdh_frazb(ji) ! frazil ice may coalesce |
|---|
| 567 | zdummy(ji,jl) = zv_i_ac(ji,jl)/MAX(za_i_ac(ji,jl),epsi10)*zindb ! thickness of residual ice |
|---|
| 568 | END DO |
|---|
| 569 | END DO |
|---|
| 570 | |
|---|
| 571 | ! old layers thicknesses and enthalpies |
|---|
| 572 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
|---|
| 573 | DO jk = 1, nlay_i |
|---|
| 574 | DO ji = 1, nbpac |
|---|
| 575 | zthick0(ji,jk,jl) = zhice_old(ji,jl) / nlay_i |
|---|
| 576 | zqm0 (ji,jk,jl) = ze_i_ac(ji,jk,jl) * zthick0(ji,jk,jl) |
|---|
| 577 | END DO |
|---|
| 578 | END DO |
|---|
| 579 | END DO |
|---|
| 580 | !!gm ??? why the previous do loop if ocerwriten by the following one ? |
|---|
| 581 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
|---|
| 582 | DO ji = 1, nbpac |
|---|
| 583 | zthick0(ji,nlay_i+1,jl) = zdhicbot(ji,jl) |
|---|
| 584 | zqm0 (ji,nlay_i+1,jl) = ze_newice(ji) * zdhicbot(ji,jl) |
|---|
| 585 | END DO ! ji |
|---|
| 586 | END DO ! jl |
|---|
| 587 | |
|---|
| 588 | ! Redistributing energy on the new grid |
|---|
| 589 | ze_i_ac(:,:,:) = 0._wp |
|---|
| 590 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
|---|
| 591 | DO jk = 1, nlay_i |
|---|
| 592 | DO layer = 1, nlay_i + 1 |
|---|
| 593 | DO ji = 1, nbpac |
|---|
| 594 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , - za_i_ac(ji,jl) ) ) |
|---|
| 595 | ! Redistributing energy on the new grid |
|---|
| 596 | zweight = MAX ( MIN( zhice_old(ji,jl) * layer , zdummy(ji,jl) * jk ) & |
|---|
| 597 | & - MAX( zhice_old(ji,jl) * ( layer - 1 ) , zdummy(ji,jl) * ( jk - 1 ) ) , 0._wp ) & |
|---|
| 598 | & /( MAX(nlay_i * zthick0(ji,layer,jl),epsi10) ) * zindb |
|---|
| 599 | ze_i_ac(ji,jk,jl) = ze_i_ac(ji,jk,jl) + zweight * zqm0(ji,layer,jl) |
|---|
| 600 | END DO ! ji |
|---|
| 601 | END DO ! layer |
|---|
| 602 | END DO ! jk |
|---|
| 603 | END DO ! jl |
|---|
| 604 | |
|---|
| 605 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
|---|
| 606 | DO jk = 1, nlay_i |
|---|
| 607 | DO ji = 1, nbpac |
|---|
| 608 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , - zv_i_ac(ji,jl) ) ) |
|---|
| 609 | ze_i_ac(ji,jk,jl) = ze_i_ac(ji,jk,jl) & |
|---|
| 610 | & / MAX( zv_i_ac(ji,jl) , epsi10) * za_i_ac(ji,jl) * nlay_i * zindb |
|---|
| 611 | END DO |
|---|
| 612 | END DO |
|---|
| 613 | END DO |
|---|
| 614 | |
|---|
| 615 | !------------ |
|---|
| 616 | ! Update age |
|---|
| 617 | !------------ |
|---|
| 618 | DO jl = 1, jpl |
|---|
| 619 | DO ji = 1, nbpac |
|---|
| 620 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , - za_i_ac(ji,jl) ) ) ! 0 if no ice and 1 if yes |
|---|
| 621 | zoa_i_ac(ji,jl) = za_old(ji,jl) * zoa_i_ac(ji,jl) / MAX( za_i_ac(ji,jl) , epsi10 ) * zindb |
|---|
| 622 | END DO |
|---|
| 623 | END DO |
|---|
| 624 | |
|---|
| 625 | !----------------- |
|---|
| 626 | ! Update salinity |
|---|
| 627 | !----------------- |
|---|
| 628 | IF( num_sal == 2 .OR. num_sal == 4 ) THEN |
|---|
| 629 | DO jl = 1, jpl |
|---|
| 630 | DO ji = 1, nbpac |
|---|
| 631 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , - zv_i_ac(ji,jl) ) ) ! 0 if no ice and 1 if yes |
|---|
| 632 | zdv = zv_i_ac(ji,jl) - zv_old(ji,jl) |
|---|
| 633 | zsmv_i_ac(ji,jl) = ( zsmv_i_ac(ji,jl) + zdv * zs_newice(ji) ) * zindb |
|---|
| 634 | END DO |
|---|
| 635 | END DO |
|---|
| 636 | ENDIF |
|---|
| 637 | |
|---|
| 638 | !------------------------------------------------------------------------------! |
|---|
| 639 | ! 8) Change 2D vectors to 1D vectors |
|---|
| 640 | !------------------------------------------------------------------------------! |
|---|
| 641 | DO jl = 1, jpl |
|---|
| 642 | CALL tab_1d_2d( nbpac, a_i (:,:,jl), npac(1:nbpac), za_i_ac (1:nbpac,jl), jpi, jpj ) |
|---|
| 643 | CALL tab_1d_2d( nbpac, v_i (:,:,jl), npac(1:nbpac), zv_i_ac (1:nbpac,jl), jpi, jpj ) |
|---|
| 644 | CALL tab_1d_2d( nbpac, oa_i(:,:,jl), npac(1:nbpac), zoa_i_ac(1:nbpac,jl), jpi, jpj ) |
|---|
| 645 | IF ( num_sal == 2 .OR. num_sal == 4 ) & |
|---|
| 646 | CALL tab_1d_2d( nbpac, smv_i (:,:,jl), npac(1:nbpac), zsmv_i_ac(1:nbpac,jl) , jpi, jpj ) |
|---|
| 647 | DO jk = 1, nlay_i |
|---|
| 648 | CALL tab_1d_2d( nbpac, e_i(:,:,jk,jl), npac(1:nbpac), ze_i_ac(1:nbpac,jk,jl), jpi, jpj ) |
|---|
| 649 | END DO |
|---|
| 650 | END DO |
|---|
| 651 | CALL tab_1d_2d( nbpac, fseqv , npac(1:nbpac), fseqv_1d (1:nbpac) , jpi, jpj ) |
|---|
| 652 | ! |
|---|
| 653 | ENDIF ! nbpac > 0 |
|---|
| 654 | |
|---|
| 655 | !------------------------------------------------------------------------------! |
|---|
| 656 | ! 9) Change units for e_i |
|---|
| 657 | !------------------------------------------------------------------------------! |
|---|
| 658 | DO jl = 1, jpl |
|---|
| 659 | DO jk = 1, nlay_i ! heat content in 10^9 Joules |
|---|
| 660 | e_i(:,:,jk,jl) = e_i(:,:,jk,jl) * area(:,:) * v_i(:,:,jl) / nlay_i / unit_fac |
|---|
| 661 | END DO |
|---|
| 662 | END DO |
|---|
| 663 | |
|---|
| 664 | !------------------------------------------------------------------------------| |
|---|
| 665 | ! 10) Conservation check and changes in each ice category |
|---|
| 666 | !------------------------------------------------------------------------------| |
|---|
| 667 | IF( con_i ) THEN |
|---|
| 668 | CALL lim_column_sum (jpl, v_i, vt_i_final) |
|---|
| 669 | fieldid = 'v_i, limthd_lac' |
|---|
| 670 | CALL lim_cons_check (vt_i_init, vt_i_final, 1.0e-6, fieldid) |
|---|
| 671 | ! |
|---|
| 672 | CALL lim_column_sum_energy(jpl, nlay_i, e_i, et_i_final) |
|---|
| 673 | fieldid = 'e_i, limthd_lac' |
|---|
| 674 | CALL lim_cons_check (et_i_final, et_i_final, 1.0e-3, fieldid) |
|---|
| 675 | ! |
|---|
| 676 | CALL lim_column_sum (jpl, v_s, vt_s_final) |
|---|
| 677 | fieldid = 'v_s, limthd_lac' |
|---|
| 678 | CALL lim_cons_check (vt_s_init, vt_s_final, 1.0e-6, fieldid) |
|---|
| 679 | ! |
|---|
| 680 | ! CALL lim_column_sum (jpl, e_s(:,:,1,:) , et_s_init) |
|---|
| 681 | ! fieldid = 'e_s, limthd_lac' |
|---|
| 682 | ! CALL lim_cons_check (et_s_init, et_s_final, 1.0e-3, fieldid) |
|---|
| 683 | IF( ln_nicep ) THEN |
|---|
| 684 | WRITE(numout,*) ' vt_i_init : ', vt_i_init(jiindx,jjindx) |
|---|
| 685 | WRITE(numout,*) ' vt_i_final: ', vt_i_final(jiindx,jjindx) |
|---|
| 686 | WRITE(numout,*) ' et_i_init : ', et_i_init(jiindx,jjindx) |
|---|
| 687 | WRITE(numout,*) ' et_i_final: ', et_i_final(jiindx,jjindx) |
|---|
| 688 | ENDIF |
|---|
| 689 | ! |
|---|
| 690 | ENDIF |
|---|
| 691 | ! |
|---|
| 692 | IF( wrk_not_released(1, 1,2,3,4,5,6,7,8,9,10,11,12,13,14) .OR. & |
|---|
| 693 | wrk_not_released(2, 1,2,3,4,5,6,7,8) ) & |
|---|
| 694 | CALL ctl_stop( 'lim_thd_lac : failed to release workspace arrays' ) |
|---|
| 695 | ! |
|---|
| 696 | END SUBROUTINE lim_thd_lac |
|---|
| 697 | |
|---|
| 698 | #else |
|---|
| 699 | !!---------------------------------------------------------------------- |
|---|
| 700 | !! Default option NO LIM3 sea-ice model |
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| 701 | !!---------------------------------------------------------------------- |
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| 702 | CONTAINS |
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| 703 | SUBROUTINE lim_thd_lac ! Empty routine |
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| 704 | END SUBROUTINE lim_thd_lac |
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| 705 | #endif |
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| 706 | |
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| 707 | !!====================================================================== |
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| 708 | END MODULE limthd_lac |
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