| 1 | MODULE limthd_lac |
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| 2 | #if defined key_lim3 |
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| 3 | !!====================================================================== |
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| 4 | !! *** MODULE limthd_lac *** |
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| 5 | !! lateral thermodynamic growth of the ice |
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| 6 | !!====================================================================== |
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| 7 | |
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| 8 | !!---------------------------------------------------------------------- |
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| 9 | !! lim_lat_acr : lateral accretion of ice |
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| 10 | !! * Modules used |
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| 11 | USE par_oce ! ocean parameters |
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| 12 | USE dom_oce |
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| 13 | USE in_out_manager |
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| 14 | USE phycst |
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| 15 | USE ice_oce ! ice variables |
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| 16 | USE thd_ice |
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| 17 | USE dom_ice |
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| 18 | USE par_ice |
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| 19 | USE ice |
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| 20 | USE iceini |
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| 21 | USE limtab |
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| 22 | USE limicepoints |
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| 23 | USE taumod |
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| 24 | USE blk_oce |
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| 25 | USE limcons |
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| 26 | |
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| 27 | IMPLICIT NONE |
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| 28 | PRIVATE |
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| 29 | |
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| 30 | !! * Routine accessibility |
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| 31 | PUBLIC lim_thd_lac ! called by lim_thd |
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| 32 | |
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| 33 | !! * Module variables |
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| 34 | REAL(wp) :: & ! constant values |
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| 35 | epsi20 = 1.e-20 , & |
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| 36 | epsi13 = 1.e-13 , & |
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| 37 | epsi11 = 1.e-13 , & |
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| 38 | epsi03 = 1.e-03 , & |
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| 39 | epsi06 = 1.e-06 , & |
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| 40 | zeps = 1.e-10 , & |
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| 41 | zzero = 0.e0 , & |
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| 42 | zone = 1.e0 |
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| 43 | |
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| 44 | !!---------------------------------------------------------------------- |
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| 45 | !! LIM 2.0, UCL-LOCEAN-IPSL (2005) |
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| 46 | !! $Header: /home/opalod/NEMOCVSROOT/NEMO/LIM_SRC/limthd_lac.F90,v 1.5 2005/03/27 18:34:42 opalod Exp $ |
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| 47 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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| 48 | !!---------------------------------------------------------------------- |
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| 49 | |
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| 50 | CONTAINS |
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| 51 | |
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| 52 | SUBROUTINE lim_thd_lac |
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| 53 | !!------------------------------------------------------------------- |
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| 54 | !! *** ROUTINE lim_thd_lac *** |
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| 55 | !! |
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| 56 | !! ** Purpose : Computation of the evolution of the ice thickness and |
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| 57 | !! concentration as a function of the heat balance in the leads. |
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| 58 | !! It is only used for lateral accretion |
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| 59 | !! |
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| 60 | !! ** Method : Ice is formed in the open water when ocean lose heat |
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| 61 | !! (heat budget of open water Bl is negative) . |
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| 62 | !! Computation of the increase of 1-A (ice concentration) fol- |
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| 63 | !! lowing the law : |
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| 64 | !! (dA/dt)acc = F[ (1-A)/(1-a) ] * [ Bl / (Li*h0) ] |
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| 65 | !! where - h0 is the thickness of ice created in the lead |
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| 66 | !! - a is a minimum fraction for leads |
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| 67 | !! - F is a monotonic non-increasing function defined as: |
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| 68 | !! F(X)=( 1 - X**exld )**(1.0/exld) |
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| 69 | !! - exld is the exponent closure rate (=2 default val.) |
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| 70 | !! |
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| 71 | !! ** Action : - Adjustment of snow and ice thicknesses and heat |
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| 72 | !! content in brine pockets |
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| 73 | !! - Updating ice internal temperature |
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| 74 | !! - Computation of variation of ice volume and mass |
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| 75 | !! - Computation of frldb after lateral accretion and |
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| 76 | !! update ht_s_b, ht_i_b and tbif_1d(:,:) |
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| 77 | !! |
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| 78 | !! ** References : Not available yet |
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| 79 | !! |
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| 80 | !! History : |
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| 81 | !! 1.0 ! 01-04 (T. Fichefet, M. A. Morales Maqueda, H. Goosse) |
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| 82 | !! ! original code |
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| 83 | !! 2.0 ! 02-08 (C. Ethe, G. Madec) F90, mpp |
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| 84 | !! 3.0 ! 12-05 (M. Vancoppenolle) Thorough rewrite of the routine |
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| 85 | !! Salinity variations in sea ice, |
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| 86 | !! Multi-layer code |
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| 87 | !! 3.1 ! 01-06 (M. Vancoppenolle) Ice thickness distribution |
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| 88 | !! 3.2 ! 04-07 (M. Vancoppenolle) Mass and energy conservation tested |
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| 89 | !!------------------------------------------------------------------------ |
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| 90 | !! * Arguments |
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| 91 | !! * Local variables |
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| 92 | INTEGER :: & |
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| 93 | ji,jj,jk,jl,jm , & !: dummy loop indices |
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| 94 | layer , & !: layer index |
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| 95 | nbpac !: nb of pts for lateral accretion |
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| 96 | |
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| 97 | INTEGER :: & |
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| 98 | zji , & !: ji of dummy test point |
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| 99 | zjj , & !: jj of dummy test point |
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| 100 | iter !: iteration for frazil ice computation |
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| 101 | |
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| 102 | INTEGER, DIMENSION(jpij) :: & |
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| 103 | zcatac , & !: indexes of categories where new ice grows |
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| 104 | zswinew !: switch for new ice or not |
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| 105 | |
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| 106 | REAL(wp), DIMENSION(jpij) :: & |
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| 107 | zv_newice , & !: volume of accreted ice |
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| 108 | za_newice , & !: fractional area of accreted ice |
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| 109 | zh_newice , & !: thickness of accreted ice |
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| 110 | ze_newice , & !: heat content of accreted ice |
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| 111 | zs_newice , & !: salinity of accreted ice |
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| 112 | zo_newice , & !: age of accreted ice |
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| 113 | zdv_res , & !: residual volume in case of excessive heat budget |
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| 114 | zda_res , & !: residual area in case of excessive heat budget |
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| 115 | zat_i_ac , & !: total ice fraction |
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| 116 | zat_i_lev , & !: total ice fraction for level ice only (type 1) |
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| 117 | zdh_frazb , & !: accretion of frazil ice at the ice bottom |
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| 118 | zvrel_ac !: relative ice / frazil velocity (1D vector) |
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| 119 | |
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| 120 | REAL(wp), DIMENSION(jpij,jpl) :: & |
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| 121 | zhice_old , & !: previous ice thickness |
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| 122 | zdummy , & !: dummy thickness of new ice |
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| 123 | zdhicbot , & !: thickness of new ice which is accreted vertically |
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| 124 | zv_old , & !: old volume of ice in category jl |
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| 125 | za_old , & !: old area of ice in category jl |
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| 126 | za_i_ac , & !: 1-D version of a_i |
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| 127 | zv_i_ac , & !: 1-D version of v_i |
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| 128 | zoa_i_ac , & !: 1-D version of oa_i |
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| 129 | zsmv_i_ac !: 1-D version of smv_i |
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| 130 | |
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| 131 | REAL(wp), DIMENSION(jpij,jkmax,jpl) :: & |
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| 132 | ze_i_ac !: 1-D version of e_i |
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| 133 | |
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| 134 | REAL(wp), DIMENSION(jpij) :: & |
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| 135 | zqbgow , & !: heat budget of the open water (negative) |
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| 136 | zdhex !: excessively thick accreted sea ice (hlead-hice) |
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| 137 | |
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| 138 | REAL(wp) :: & |
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| 139 | ztmelts , & !: melting point of an ice layer |
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| 140 | zdv , & !: increase in ice volume in each category |
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| 141 | zfrazb !: fraction of frazil ice accreted at the ice bottom |
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| 142 | |
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| 143 | ! Redistribution of energy after bottom accretion |
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| 144 | REAL(wp) :: & !: Energy redistribution |
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| 145 | zqold , & !: old ice enthalpy |
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| 146 | zweight , & !: weight of redistribution |
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| 147 | zeps6 , & !: epsilon value |
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| 148 | zalphai , & !: factor describing how old and new layers overlap each other [m] |
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| 149 | zindb |
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| 150 | |
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| 151 | REAL(wp), DIMENSION(jpij,jkmax+1,jpl) :: & |
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| 152 | zqm0 , & !: old layer-system heat content |
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| 153 | zthick0 !: old ice thickness |
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| 154 | |
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| 155 | ! Frazil ice collection thickness |
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| 156 | LOGICAL :: & !: iterate frazil ice collection thickness |
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| 157 | iterate_frazil |
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| 158 | |
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| 159 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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| 160 | zvrel !: relative ice / frazil velocity |
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| 161 | |
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| 162 | REAL(wp) :: & |
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| 163 | zgamafr , & !: mult. coeff. between frazil vel. and wind speed |
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| 164 | ztenagm , & !: square root of wind stress |
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| 165 | zvfrx , & !: x-component of frazil velocity |
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| 166 | zvfry , & !: y-component of frazil velocity |
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| 167 | zvgx , & !: x-component of ice velocity |
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| 168 | zvgy , & !: y-component of ice velocity |
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| 169 | ztaux , & !: x-component of wind stress |
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| 170 | ztauy , & !: y-component of wind stress |
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| 171 | ztwogp , & !: dummy factor including reduced gravity |
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| 172 | zvrel2 , & !: square of the relative ice-frazil velocity |
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| 173 | zf , & !: F for Newton-Raphson procedure |
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| 174 | zfp , & !: dF for Newton-Raphson procedure |
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| 175 | zhicol_new , & !: updated collection thickness |
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| 176 | zsqcd , & !: 1 / square root of ( airdensity * drag ) |
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| 177 | zhicrit !: minimum thickness of frazil ice |
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| 178 | |
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| 179 | ! Variables for energy conservation |
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| 180 | REAL (wp), DIMENSION(jpi,jpj) :: & ! |
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| 181 | vt_i_init, vt_i_final, & ! ice volume summed over categories |
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| 182 | vt_s_init, vt_s_final, & ! snow volume summed over categories |
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| 183 | et_i_init, et_i_final, & ! ice energy summed over categories |
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| 184 | et_s_init, et_s_final ! snow energy summed over categories |
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| 185 | |
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| 186 | REAL(wp) :: & |
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| 187 | zde , & ! :increment of energy in category jl |
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| 188 | zde_old , & ! :dummy variable for energy conservation |
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| 189 | zde_new , & ! :dummy variable for energy conservation |
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| 190 | zde_nice , & ! :dummy variable for energy conservation |
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| 191 | zde_diff ! :dummy variable for energy conservation |
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| 192 | |
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| 193 | CHARACTER (len = 15) :: fieldid |
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| 194 | |
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| 195 | !!-----------------------------------------------------------------------! |
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| 196 | |
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| 197 | et_i_init(:,:) = 0.0 |
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| 198 | et_s_init(:,:) = 0.0 |
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| 199 | vt_i_init(:,:) = 0.0 |
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| 200 | vt_s_init(:,:) = 0.0 |
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| 201 | IF(lwp) THEN |
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| 202 | WRITE(numout,*) 'lim_thd_lac : Creating new ice' |
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| 203 | WRITE(numout,*) '~~~~~~~~~~~' |
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| 204 | ENDIF |
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| 205 | zeps6 = 1.0e-6 |
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| 206 | |
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| 207 | !++++++++++ |
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| 208 | WRITE(numout,*) ' Step 0 ' |
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| 209 | WRITE(numout,*) ' v_i : ', v_i(jiindex,jjindex,1:jpl) |
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| 210 | WRITE(numout,*) ' a_i : ', a_i(jiindex,jjindex,1:jpl) |
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| 211 | DO jk = 1, nlay_i |
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| 212 | WRITE(numout,*) ' e_i : ', jk, e_i(jiindex,jjindex,jk,1:jpl) |
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| 213 | END DO |
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| 214 | !++++++++++ |
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| 215 | |
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| 216 | !------------------------------------------------------------------------------! |
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| 217 | ! 1) Conservation check and changes in each ice category |
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| 218 | !------------------------------------------------------------------------------! |
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| 219 | CALL lim_column_sum (jpl, v_i, vt_i_init) |
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| 220 | CALL lim_column_sum (jpl, v_s, vt_s_init) |
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| 221 | CALL lim_column_sum_energy (jpl, nlay_i, e_i, et_i_init) |
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| 222 | CALL lim_column_sum (jpl, e_s(:,:,1,:) , et_s_init) |
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| 223 | |
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| 224 | !------------------------------------------------------------------------------| |
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| 225 | ! 2) Convert units for ice internal energy |
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| 226 | !------------------------------------------------------------------------------| |
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| 227 | DO jl = 1, jpl |
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| 228 | DO jk = 1, nlay_i |
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| 229 | DO jj = 1, jpj |
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| 230 | DO ji = 1, jpi |
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| 231 | !Energy of melting q(S,T) [J.m-3] |
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| 232 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) / & |
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| 233 | MAX( area(ji,jj) * v_i(ji,jj,jl) , zeps ) * & |
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| 234 | nlay_i |
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| 235 | 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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| 236 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl)*unit_fac*zindb |
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| 237 | END DO |
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| 238 | END DO |
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| 239 | END DO |
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| 240 | END DO |
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| 241 | |
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| 242 | !------------------------------------------------------------------------------! |
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| 243 | ! 3) Collection thickness of ice formed in leads and polynyas |
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| 244 | !------------------------------------------------------------------------------! |
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| 245 | ! hicol is the thickness of new ice. |
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| 246 | ! Frazil ice forms in open water, is transported by wind |
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| 247 | ! accumulates at the edge of the consolidated ice edge |
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| 248 | ! where it forms aggregates of a specific thickness called |
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| 249 | ! collection thickness. |
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| 250 | |
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| 251 | zvrel(:,:) = 0.0 |
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| 252 | |
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| 253 | ! Default new ice thickness |
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| 254 | DO jj = 1, jpj |
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| 255 | DO ji = 1, jpi |
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| 256 | hicol(ji,jj) = hiccrit(1) |
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| 257 | END DO |
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| 258 | END DO |
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| 259 | |
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| 260 | IF (fraz_swi.eq.1.0) THEN |
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| 261 | |
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| 262 | !-------------------- |
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| 263 | ! Physical constants |
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| 264 | !-------------------- |
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| 265 | hicol(:,:) = 0.0 |
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| 266 | |
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| 267 | zhicrit = 0.04 ! frazil ice thickness |
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| 268 | ztwogp = 2. * rau0 / ( grav * 0.3 * ( rau0 - rhoic ) ) ! reduced grav |
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| 269 | zsqcd = 1.0 / SQRT( 1.3 * cai ) ! 1/SQRT(airdensity*drag) |
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| 270 | zgamafr = 0.03 |
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| 271 | |
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| 272 | !+++++ |
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| 273 | WRITE(numout,*) ' ztwogp : ', ztwogp |
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| 274 | WRITE(numout,*) ' rau0 : ', rau0 |
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| 275 | WRITE(numout,*) ' grav : ', grav |
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| 276 | WRITE(numout,*) ' rhoic : ', rhoic |
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| 277 | !+++++ |
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| 278 | |
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| 279 | DO jj = 1, jpj |
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| 280 | DO ji = 1, jpi |
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| 281 | |
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| 282 | IF ( tms(ji,jj) * ( qcmif(ji,jj) - qldif(ji,jj) ) > 0.e0 ) THEN |
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| 283 | !------------- |
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| 284 | ! Wind stress |
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| 285 | !------------- |
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| 286 | ! C-grid wind stress components |
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| 287 | ztaux = ( gtaux(ji-1,jj ) * tmu(ji-1,jj ) & |
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| 288 | + gtaux(ji ,jj ) * tmu(ji ,jj ) ) / 2.0 |
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| 289 | ztauy = ( gtauy(ji ,jj-1) * tmv(ji ,jj-1) & |
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| 290 | + gtauy(ji ,jj ) * tmv(ji ,jj ) ) / 2.0 |
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| 291 | ! Square root of wind stress |
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| 292 | ztenagm = SQRT( SQRT( ztaux * ztaux + ztauy * ztauy ) ) |
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| 293 | ! !+++++ |
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| 294 | ! tension on B-grid |
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| 295 | ! ztaux = ( gtaux(ji ,jj ) * tmu(ji,jj ) & |
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| 296 | ! + gtaux(ji+1,jj ) * tmu(ji+1,jj ) & |
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| 297 | ! + gtaux(ji,jj+1 ) * tmu(ji,jj+1 ) & |
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| 298 | ! + gtaux(ji+1,jj+1) * tmu(ji+1,jj+1) ) / 4.0 |
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| 299 | ! ztauy = ( gtauy(ji ,jj ) * tmu(ji,jj ) & |
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| 300 | ! + gtauy(ji+1,jj ) * tmu(ji+1,jj ) & |
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| 301 | ! + gtauy(ji,jj+1 ) * tmu(ji,jj+1 ) & |
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| 302 | ! + gtauy(ji+1,jj+1) * tmu(ji+1,jj+1) ) / 4.0 |
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| 303 | ! !+++++ |
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| 304 | ! !+++++ |
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| 305 | ! IF ( ( ji.EQ.jiindex ) .AND. ( jj.EQ.jjindex ) ) THEN |
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| 306 | ! WRITE(numout,*) |
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| 307 | ! WRITE(numout,*) ' ztaux : ', ztaux |
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| 308 | ! WRITE(numout,*) ' ztauy : ', ztauy |
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| 309 | ! WRITE(numout,*) ' |tau| : ', ztenagm |
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| 310 | ! ENDIF |
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| 311 | ! !+++++ |
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| 312 | |
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| 313 | !--------------------- |
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| 314 | ! Frazil ice velocity |
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| 315 | !--------------------- |
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| 316 | zvfrx = zgamafr * zsqcd * ztaux / MAX(ztenagm,zeps) |
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| 317 | zvfry = zgamafr * zsqcd * ztauy / MAX(ztenagm,zeps) |
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| 318 | |
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| 319 | !------------------- |
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| 320 | ! Pack ice velocity |
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| 321 | !------------------- |
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| 322 | ! C-grid ice velocity |
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| 323 | zindb = MAX(0.0, SIGN(1.0, at_i(ji,jj) )) |
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| 324 | zvgx = zindb * ( u_ice(ji-1,jj ) * tmu(ji-1,jj ) & |
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| 325 | + u_ice(ji,jj ) * tmu(ji ,jj ) ) / 2.0 |
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| 326 | zvgy = zindb * ( v_ice(ji ,jj-1) * tmv(ji ,jj-1) & |
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| 327 | + v_ice(ji,jj ) * tmv(ji ,jj ) ) / 2.0 |
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| 328 | |
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| 329 | !----------------------------------- |
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| 330 | ! Relative frazil/pack ice velocity |
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| 331 | !----------------------------------- |
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| 332 | ! absolute relative velocity |
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| 333 | zvrel2 = MAX( ( zvfrx - zvgx ) * ( zvfrx - zvgx ) + & |
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| 334 | ( zvfry - zvgy ) * ( zvfry - zvgy ) & |
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| 335 | , 0.15 * 0.15 ) |
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| 336 | zvrel(ji,jj) = SQRT(zvrel2) |
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| 337 | |
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| 338 | !+++++++++ |
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| 339 | ! ! ice drift on B-grid |
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| 340 | ! zindb = MAX(0.0, SIGN(1.0, at_i(ji,jj) )) |
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| 341 | ! zvgx = zindb * ( u_ice(ji,jj ) * tmu(ji,jj ) & |
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| 342 | ! + u_ice(ji+1,jj ) * tmu(ji+1,jj) & |
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| 343 | ! + u_ice(ji,jj+1 ) * tmu(ji,jj+1) & |
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| 344 | ! + u_ice(ji+1,jj+1) * tmu(ji+1,jj+1) ) & |
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| 345 | ! / 4.0 |
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| 346 | ! zvgy = zindb * ( v_ice(ji,jj ) * tmu(ji,jj ) & |
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| 347 | ! + v_ice(ji+1,jj ) * tmu(ji+1,jj) & |
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| 348 | ! + v_ice(ji,jj+1 ) * tmu(ji,jj+1) & |
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| 349 | ! + v_ice(ji+1,jj+1) * tmu(ji+1,jj+1) ) & |
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| 350 | ! / 4.0 |
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| 351 | |
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| 352 | ! !+++++ |
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| 353 | ! IF ( ( ji.EQ.jiindex ) .AND. ( jj.EQ.jjindex ) ) THEN |
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| 354 | ! WRITE(numout,*) |
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| 355 | ! WRITE(numout,*) ' zvfrx : ', zvfrx |
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| 356 | ! WRITE(numout,*) ' zvfry : ', zvfry |
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| 357 | ! WRITE(numout,*) ' zvgx : ', zvgx |
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| 358 | ! WRITE(numout,*) ' zvgy : ', zvgx |
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| 359 | ! ENDIF |
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| 360 | ! !+++++ |
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| 361 | |
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| 362 | ! !+++++ |
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| 363 | ! IF ( ( ji.EQ.jiindex ) .AND. ( jj.EQ.jjindex ) ) THEN |
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| 364 | ! WRITE(numout,*) |
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| 365 | ! WRITE(numout,*) ' zvrel2: ', zvrel2 |
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| 366 | ! WRITE(numout,*) ' zvrel : ', zvrel(ji,jj) |
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| 367 | ! ENDIF |
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| 368 | |
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| 369 | ! hicol(ji,jj) = 10.0 ! starting value has to be high!!! |
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| 370 | |
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| 371 | !--------------------- |
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| 372 | ! Iterative procedure |
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| 373 | !--------------------- |
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| 374 | hicol(ji,jj) = zhicrit + 0.1 |
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| 375 | hicol(ji,jj) = zhicrit + hicol(ji,jj) / & |
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| 376 | ( hicol(ji,jj) * hicol(ji,jj) - & |
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| 377 | zhicrit * zhicrit ) * ztwogp * zvrel2 |
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| 378 | |
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| 379 | iter = 1 |
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| 380 | iterate_frazil = .true. |
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| 381 | |
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| 382 | DO WHILE ( iter .LT. 100 .AND. iterate_frazil ) |
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| 383 | zf = ( hicol(ji,jj) - zhicrit ) * ( hicol(ji,jj)**2 - zhicrit**2 ) & |
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| 384 | - hicol(ji,jj) * zhicrit * ztwogp * zvrel2 |
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| 385 | zfp = ( hicol(ji,jj) - zhicrit ) * ( 3.0*hicol(ji,jj) + zhicrit ) & |
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| 386 | - zhicrit * ztwogp * zvrel2 |
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| 387 | zhicol_new = hicol(ji,jj) - zf/zfp |
|---|
| 388 | hicol(ji,jj) = zhicol_new |
|---|
| 389 | |
|---|
| 390 | !++++++++++++++++++++ |
|---|
| 391 | ! IF ( ABS(-zf/zfp) .LT. 1.0d-9 ) THEN |
|---|
| 392 | ! iterate_frazil = .false. |
|---|
| 393 | ! ENDIF |
|---|
| 394 | |
|---|
| 395 | ! IF ( (ji.eq.jiindex).AND.(jj.eq.jjindex) ) THEN |
|---|
| 396 | ! WRITE(numout,*) ' ------- iter = ', iter, & |
|---|
| 397 | ! '----------------' |
|---|
| 398 | ! WRITE(numout,*) ' iterate_frazil ', iterate_frazil |
|---|
| 399 | ! WRITE(numout,*) ' zf, zfp : ', zf, zfp |
|---|
| 400 | ! WRITE(numout,*) ' dhicol : ', -zf/zfp |
|---|
| 401 | ! WRITE(numout,*) ' hicol : ', hicol(ji,jj) |
|---|
| 402 | !++++++++++++++++++++ |
|---|
| 403 | ! ENDIF |
|---|
| 404 | |
|---|
| 405 | iter = iter + 1 |
|---|
| 406 | |
|---|
| 407 | END DO ! do while |
|---|
| 408 | ! hicol(ji,jj) = MAX( hicol(ji,jj) , 0.03) |
|---|
| 409 | ! WRITE(numout,*) ' zvrel2 : ', zvrel2, ' zvrel : ', SQRT(zvrel2), ' hicol : ',hicol(ji,jj) |
|---|
| 410 | |
|---|
| 411 | ENDIF ! end of selection of pixels where ice forms |
|---|
| 412 | |
|---|
| 413 | !+++++++++++ |
|---|
| 414 | IF ( hicol(ji,jj) .GT. 2.00 .OR. hicol(ji,jj) .LT. 0.0 ) THEN |
|---|
| 415 | WRITE(numout,*) ' ALERTE 125 : hicol too bad ' |
|---|
| 416 | WRITE(numout,*) ' ji,jj : ', ji, jj |
|---|
| 417 | WRITE(numout,*) ' lat : ', gphit(ji,jj) |
|---|
| 418 | WRITE(numout,*) ' lon : ', glamt(ji,jj) |
|---|
| 419 | WRITE(numout,*) ' hicol : ', hicol(ji,jj) |
|---|
| 420 | ENDIF |
|---|
| 421 | !+++++++++++ |
|---|
| 422 | |
|---|
| 423 | END DO ! loop on ji ends |
|---|
| 424 | END DO ! loop on jj ends |
|---|
| 425 | |
|---|
| 426 | WRITE(numout,*) ' ' |
|---|
| 427 | WRITE(numout,*) ' Apres calcul : ' |
|---|
| 428 | WRITE(numout,*) ' hicol : ', hicol(jiindex,jjindex) |
|---|
| 429 | WRITE(numout,*) ' at_i : ', at_i(jiindex,jjindex) |
|---|
| 430 | |
|---|
| 431 | ENDIF ! End of computation of frazil ice collection thickness |
|---|
| 432 | |
|---|
| 433 | !------------------------------------------------------------------------------! |
|---|
| 434 | ! 4) Identify grid points where new ice forms |
|---|
| 435 | !------------------------------------------------------------------------------! |
|---|
| 436 | |
|---|
| 437 | !------------------------------------- |
|---|
| 438 | ! Select points for new ice formation |
|---|
| 439 | !------------------------------------- |
|---|
| 440 | ! This occurs if open water energy budget is negative |
|---|
| 441 | nbpac = 0 |
|---|
| 442 | DO jj = 1, jpj |
|---|
| 443 | DO ji = 1, jpi |
|---|
| 444 | IF ( tms(ji,jj) * ( qcmif(ji,jj) - qldif(ji,jj) ) > 0.e0 ) THEN |
|---|
| 445 | nbpac = nbpac + 1 |
|---|
| 446 | npac( nbpac ) = (jj - 1) * jpi + ji |
|---|
| 447 | IF ( (ji.eq.jiindex).AND.(jj.eq.jjindex) ) THEN |
|---|
| 448 | jiindex_1d = nbpac |
|---|
| 449 | ENDIF |
|---|
| 450 | ENDIF |
|---|
| 451 | END DO |
|---|
| 452 | END DO |
|---|
| 453 | |
|---|
| 454 | IF(lwp) THEN |
|---|
| 455 | WRITE(numout,*) 'lim_thd_lac : nbpac = ', nbpac |
|---|
| 456 | ENDIF |
|---|
| 457 | |
|---|
| 458 | !------------------------------ |
|---|
| 459 | ! Move from 2-D to 1-D vectors |
|---|
| 460 | !------------------------------ |
|---|
| 461 | ! If ocean gains heat do nothing |
|---|
| 462 | ! 0therwise compute new ice formation |
|---|
| 463 | |
|---|
| 464 | IF ( nbpac > 0 ) THEN |
|---|
| 465 | |
|---|
| 466 | CALL tab_2d_1d( nbpac, zat_i_ac (1:nbpac) , at_i , & |
|---|
| 467 | jpi, jpj, npac(1:nbpac) ) |
|---|
| 468 | DO jl = 1, jpl |
|---|
| 469 | CALL tab_2d_1d( nbpac, za_i_ac(1:nbpac,jl) , a_i(:,:,jl) , & |
|---|
| 470 | jpi, jpj, npac(1:nbpac) ) |
|---|
| 471 | CALL tab_2d_1d( nbpac, zv_i_ac(1:nbpac,jl) , v_i(:,:,jl) , & |
|---|
| 472 | jpi, jpj, npac(1:nbpac) ) |
|---|
| 473 | CALL tab_2d_1d( nbpac, zoa_i_ac(1:nbpac,jl) , oa_i(:,:,jl) , & |
|---|
| 474 | jpi, jpj, npac(1:nbpac) ) |
|---|
| 475 | CALL tab_2d_1d( nbpac, zsmv_i_ac(1:nbpac,jl), smv_i(:,:,jl), & |
|---|
| 476 | jpi, jpj, npac(1:nbpac) ) |
|---|
| 477 | DO jk = 1, nlay_i |
|---|
| 478 | CALL tab_2d_1d( nbpac, ze_i_ac(1:nbpac,jk,jl), e_i(:,:,jk,jl) , & |
|---|
| 479 | jpi, jpj, npac(1:nbpac) ) |
|---|
| 480 | END DO ! jk |
|---|
| 481 | END DO ! jl |
|---|
| 482 | |
|---|
| 483 | CALL tab_2d_1d( nbpac, qldif_1d (1:nbpac) , qldif , & |
|---|
| 484 | jpi, jpj, npac(1:nbpac) ) |
|---|
| 485 | CALL tab_2d_1d( nbpac, qcmif_1d (1:nbpac) , qcmif , & |
|---|
| 486 | jpi, jpj, npac(1:nbpac) ) |
|---|
| 487 | CALL tab_2d_1d( nbpac, t_bo_b (1:nbpac) , t_bo , & |
|---|
| 488 | jpi, jpj, npac(1:nbpac) ) |
|---|
| 489 | CALL tab_2d_1d( nbpac, fseqv_1d (1:nbpac) , fseqv , & |
|---|
| 490 | jpi, jpj, npac(1:nbpac) ) |
|---|
| 491 | CALL tab_2d_1d( nbpac, hicol_b (1:nbpac) , hicol , & |
|---|
| 492 | jpi, jpj, npac(1:nbpac) ) |
|---|
| 493 | CALL tab_2d_1d( nbpac, zvrel_ac (1:nbpac) , zvrel , & |
|---|
| 494 | jpi, jpj, npac(1:nbpac) ) |
|---|
| 495 | |
|---|
| 496 | !------------------------------------------------------------------------------! |
|---|
| 497 | ! 5) Compute thickness, salinity, enthalpy, age, area and volume of new ice |
|---|
| 498 | !------------------------------------------------------------------------------! |
|---|
| 499 | !---------------------- |
|---|
| 500 | ! Thickness of new ice |
|---|
| 501 | !---------------------- |
|---|
| 502 | DO ji = 1, nbpac |
|---|
| 503 | zh_newice(ji) = hiccrit(1) |
|---|
| 504 | END DO |
|---|
| 505 | IF ( fraz_swi .EQ. 1.0 ) zh_newice(:) = hicol_b(:) |
|---|
| 506 | |
|---|
| 507 | !+++++++++++++ |
|---|
| 508 | DO ji = 1, nbpac |
|---|
| 509 | IF (zh_newice(ji) .LE. 0.0) THEN |
|---|
| 510 | zji = MOD( npac(ji) - 1, jpi ) + 1 |
|---|
| 511 | zjj = ( npac(ji) - 1 ) / jpi + 1 |
|---|
| 512 | WRITE(numout,*) ' collection thickness <= 0 ', zh_newice(ji), ji, zji, zjj |
|---|
| 513 | ! WRITE(numout,*) ' LATITUDE ', gphit(zji,zjj), ' LONGITUDE ', & |
|---|
| 514 | ! glamt(zji,zjj) |
|---|
| 515 | ! WRITE(numout,*) ' zh_newice ', zh_newice(ji) |
|---|
| 516 | ! WRITE(numout,*) ' ji ', ji |
|---|
| 517 | ! WRITE(numout,*) ' a_i ', a_i(zji,zjj,1:jpl) |
|---|
| 518 | ! WRITE(numout,*) ' v_i ', v_i(zji,zjj,1:jpl) |
|---|
| 519 | ENDIF |
|---|
| 520 | END DO |
|---|
| 521 | !+++++++++++++ |
|---|
| 522 | |
|---|
| 523 | !---------------------- |
|---|
| 524 | ! Salinity of new ice |
|---|
| 525 | !---------------------- |
|---|
| 526 | |
|---|
| 527 | IF ( num_sal .EQ. 1 ) THEN |
|---|
| 528 | zs_newice(:) = bulk_sal |
|---|
| 529 | ENDIF ! num_sal |
|---|
| 530 | |
|---|
| 531 | IF ( ( num_sal .EQ. 2 ) .OR. ( num_sal .EQ. 4 ) ) THEN |
|---|
| 532 | |
|---|
| 533 | DO ji = 1, nbpac |
|---|
| 534 | zs_newice(ji) = MIN( 4.606 + 0.91 / zh_newice(ji) , s_i_max ) |
|---|
| 535 | zji = MOD( npac(ji) - 1, jpi ) + 1 |
|---|
| 536 | zjj = ( npac(ji) - 1 ) / jpi + 1 |
|---|
| 537 | zs_newice(ji) = MIN( 0.5*sss_io(zji,zjj) , zs_newice(ji) ) |
|---|
| 538 | END DO ! jl |
|---|
| 539 | |
|---|
| 540 | ENDIF ! num_sal |
|---|
| 541 | |
|---|
| 542 | IF ( num_sal .EQ. 3 ) THEN |
|---|
| 543 | zs_newice(:) = 2.3 |
|---|
| 544 | ENDIF ! num_sal |
|---|
| 545 | |
|---|
| 546 | !------------------------- |
|---|
| 547 | ! Heat content of new ice |
|---|
| 548 | !------------------------- |
|---|
| 549 | ! We assume that new ice is formed at the seawater freezing point |
|---|
| 550 | DO ji = 1, nbpac |
|---|
| 551 | ztmelts = - tmut * zs_newice(ji) + rtt ! Melting point (K) |
|---|
| 552 | ze_newice(ji) = rhoic * ( cpic * ( ztmelts - t_bo_b(ji) ) & |
|---|
| 553 | + lfus * ( 1.0 - ( ztmelts - rtt ) & |
|---|
| 554 | / ( t_bo_b(ji) - rtt ) ) & |
|---|
| 555 | - rcp * ( ztmelts-rtt ) ) |
|---|
| 556 | !+++++++++++ |
|---|
| 557 | IF ( ji .EQ. jiindex_1D ) THEN |
|---|
| 558 | WRITE(numout,*) ' ze_newice : ', ze_newice(jiindex_1d) |
|---|
| 559 | ENDIF |
|---|
| 560 | !+++++++++++ |
|---|
| 561 | ze_newice(ji) = MAX( ze_newice(ji) , 0.0 ) + & |
|---|
| 562 | MAX( 0.0 , SIGN( 1.0 , - ze_newice(ji) ) ) & |
|---|
| 563 | * rhoic * lfus |
|---|
| 564 | !+++++++++++ |
|---|
| 565 | IF ( ji .EQ. jiindex_1D ) THEN |
|---|
| 566 | WRITE(numout,*) ' ze_newice : ', ze_newice(jiindex_1d) |
|---|
| 567 | ENDIF |
|---|
| 568 | !+++++++++++ |
|---|
| 569 | END DO ! ji |
|---|
| 570 | !+++++++++++ |
|---|
| 571 | IF ( jiindex_1d .GT. 0) WRITE(numout,*) ' ze_newice : ', ze_newice(jiindex_1d) |
|---|
| 572 | !+++++++++++ |
|---|
| 573 | |
|---|
| 574 | !---------------- |
|---|
| 575 | ! Age of new ice |
|---|
| 576 | !---------------- |
|---|
| 577 | DO ji = 1, nbpac |
|---|
| 578 | zo_newice(ji) = 0.0 |
|---|
| 579 | END DO ! ji |
|---|
| 580 | |
|---|
| 581 | !-------------------------- |
|---|
| 582 | ! Open water energy budget |
|---|
| 583 | !-------------------------- |
|---|
| 584 | DO ji = 1, nbpac |
|---|
| 585 | zqbgow(ji) = qldif_1d(ji) - qcmif_1d(ji) !<0 |
|---|
| 586 | END DO ! ji |
|---|
| 587 | !+++++++++++ |
|---|
| 588 | IF (jiindex_1d .GT. 0 ) THEN |
|---|
| 589 | WRITE(numout,*) ' qldif : ', qldif_1d(jiindex_1d) |
|---|
| 590 | WRITE(numout,*) ' qcmif : ', qcmif_1d(jiindex_1d) |
|---|
| 591 | WRITE(numout,*) ' zqbgow : ', zqbgow(jiindex_1d) |
|---|
| 592 | ENDIF |
|---|
| 593 | !+++++++++++ |
|---|
| 594 | |
|---|
| 595 | !------------------- |
|---|
| 596 | ! Volume of new ice |
|---|
| 597 | !------------------- |
|---|
| 598 | DO ji = 1, nbpac |
|---|
| 599 | zv_newice(ji) = - zqbgow(ji) / ze_newice(ji) |
|---|
| 600 | |
|---|
| 601 | ! A fraction zfrazb of frazil ice is accreted at the ice bottom |
|---|
| 602 | zfrazb = ( TANH ( Cfrazb * ( zvrel_ac(ji) - vfrazb ) ) & |
|---|
| 603 | + 1.0 ) / 2.0 * maxfrazb |
|---|
| 604 | zdh_frazb(ji) = zfrazb*zv_newice(ji) |
|---|
| 605 | zv_newice(ji) = ( 1.0 - zfrazb ) * zv_newice(ji) |
|---|
| 606 | END DO |
|---|
| 607 | !+++++++++++ |
|---|
| 608 | IF (jiindex_1d .GT. 0) THEN |
|---|
| 609 | WRITE(numout,*) ' zv_newice : ', zv_newice(jiindex_1d) |
|---|
| 610 | ENDIF |
|---|
| 611 | !+++++++++++ |
|---|
| 612 | |
|---|
| 613 | !------------------------------------ |
|---|
| 614 | ! Diags for energy conservation test |
|---|
| 615 | !------------------------------------ |
|---|
| 616 | DO ji = 1, nbpac |
|---|
| 617 | ! Volume |
|---|
| 618 | zji = MOD( npac(ji) - 1, jpi ) + 1 |
|---|
| 619 | zjj = ( npac(ji) - 1 ) / jpi + 1 |
|---|
| 620 | vt_i_init(zji,zjj) = vt_i_init(zji,zjj) + zv_newice(ji) |
|---|
| 621 | ! Energy |
|---|
| 622 | zde = ze_newice(ji) / unit_fac |
|---|
| 623 | zde = zde * area(zji,zjj) * zv_newice(ji) |
|---|
| 624 | et_i_init(zji,zjj) = et_i_init(zji,zjj) + zde |
|---|
| 625 | END DO |
|---|
| 626 | |
|---|
| 627 | ! keep new ice volume in memory |
|---|
| 628 | CALL tab_1d_2d( nbpac, v_newice , npac(1:nbpac), zv_newice(1:nbpac) , & |
|---|
| 629 | jpi, jpj ) |
|---|
| 630 | |
|---|
| 631 | !----------------- |
|---|
| 632 | ! Area of new ice |
|---|
| 633 | !----------------- |
|---|
| 634 | DO ji = 1, nbpac |
|---|
| 635 | za_newice(ji) = zv_newice(ji) / zh_newice(ji) |
|---|
| 636 | ! diagnostic |
|---|
| 637 | zji = MOD( npac(ji) - 1, jpi ) + 1 |
|---|
| 638 | zjj = ( npac(ji) - 1 ) / jpi + 1 |
|---|
| 639 | diag_lat_gr(zji,zjj) = zv_newice(ji) / rdt_ice |
|---|
| 640 | END DO !ji |
|---|
| 641 | |
|---|
| 642 | !------------------------------------------------------------------------------! |
|---|
| 643 | ! 6) Redistribute new ice area and volume into ice categories ! |
|---|
| 644 | !------------------------------------------------------------------------------! |
|---|
| 645 | |
|---|
| 646 | !----------------------------------------- |
|---|
| 647 | ! Keep old ice areas and volume in memory |
|---|
| 648 | !----------------------------------------- |
|---|
| 649 | zv_old(:,:) = zv_i_ac(:,:) |
|---|
| 650 | za_old(:,:) = za_i_ac(:,:) |
|---|
| 651 | |
|---|
| 652 | !------------------------------------------- |
|---|
| 653 | ! Compute excessive new ice area and volume |
|---|
| 654 | !------------------------------------------- |
|---|
| 655 | ! If lateral ice growth gives an ice concentration gt 1, then |
|---|
| 656 | ! we keep the excessive volume in memory and attribute it later |
|---|
| 657 | ! to bottom accretion |
|---|
| 658 | DO ji = 1, nbpac |
|---|
| 659 | ! vectorize |
|---|
| 660 | IF ( za_newice(ji) .GT. ( 1.0 - zat_i_ac(ji) ) ) THEN |
|---|
| 661 | zda_res(ji) = za_newice(ji) - (1.0 - zat_i_ac(ji) ) |
|---|
| 662 | zdv_res(ji) = zda_res(ji) * zh_newice(ji) |
|---|
| 663 | za_newice(ji) = za_newice(ji) - zda_res(ji) |
|---|
| 664 | zv_newice(ji) = zv_newice(ji) - zdv_res(ji) |
|---|
| 665 | IF ( ji .EQ. jiindex_1D ) THEN |
|---|
| 666 | WRITE(numout,*) ' zv_newice : ', zv_newice(ji) |
|---|
| 667 | WRITE(numout,*) ' zdv_res : ', zdv_res (ji) |
|---|
| 668 | ENDIF |
|---|
| 669 | ELSE |
|---|
| 670 | zda_res(ji) = 0.0 |
|---|
| 671 | zdv_res(ji) = 0.0 |
|---|
| 672 | ENDIF |
|---|
| 673 | END DO ! ji |
|---|
| 674 | |
|---|
| 675 | !------------------------------------------------ |
|---|
| 676 | ! Laterally redistribute new ice volume and area |
|---|
| 677 | !------------------------------------------------ |
|---|
| 678 | zat_i_ac(:) = 0.0 |
|---|
| 679 | |
|---|
| 680 | WRITE(numout,*) ' zv_i_ac : ', zv_i_ac(jiindex, 1:jpl) |
|---|
| 681 | DO jl = 1, jpl |
|---|
| 682 | DO ji = 1, nbpac |
|---|
| 683 | ! vectorize |
|---|
| 684 | IF ( ( hi_max(jl-1) .LT. zh_newice(ji) ) & |
|---|
| 685 | .AND. ( zh_newice(ji) .LE. hi_max(jl) ) ) THEN |
|---|
| 686 | za_i_ac(ji,jl) = za_i_ac(ji,jl) + za_newice(ji) |
|---|
| 687 | zv_i_ac(ji,jl) = zv_i_ac(ji,jl) + zv_newice(ji) |
|---|
| 688 | zat_i_ac(ji) = zat_i_ac(ji) + za_i_ac(ji,jl) |
|---|
| 689 | zcatac(ji) = jl |
|---|
| 690 | ENDIF |
|---|
| 691 | END DO ! ji |
|---|
| 692 | END DO ! jl |
|---|
| 693 | WRITE(numout,*) ' zv_i_ac : ', zv_i_ac(jiindex, 1:jpl) |
|---|
| 694 | |
|---|
| 695 | ! !++++++++++++++++ |
|---|
| 696 | DO ji = 1, nbpac |
|---|
| 697 | ! !+++++ |
|---|
| 698 | IF (zat_i_ac(ji).gt.1.0) THEN |
|---|
| 699 | zji = MOD( npac(ji) - 1, jpi ) + 1 |
|---|
| 700 | zjj = ( npac(ji) - 1 ) / jpi + 1 |
|---|
| 701 | WRITE(numout,*) ' *** ERROR MESSAGE *** ' |
|---|
| 702 | WRITE(numout,*) ' something MUST be wrong ' |
|---|
| 703 | WRITE(numout,*) ' at_i : ', zat_i_ac(ji) |
|---|
| 704 | WRITE(numout,*) ' is wrong ' |
|---|
| 705 | WRITE(numout,*) ' point : ', zji, zjj |
|---|
| 706 | ENDIF |
|---|
| 707 | END DO ! ji |
|---|
| 708 | !++++++++++++++++ |
|---|
| 709 | |
|---|
| 710 | !---------------------------------- |
|---|
| 711 | ! Heat content - lateral accretion |
|---|
| 712 | !---------------------------------- |
|---|
| 713 | DO ji = 1, nbpac |
|---|
| 714 | jl = zcatac(ji) ! categroy in which new ice is put |
|---|
| 715 | ! zindb = 0 if no ice and 1 if yes |
|---|
| 716 | zindb = 1.0 - MAX ( 0.0 , SIGN ( 1.0 , -za_old(ji,jl) ) ) |
|---|
| 717 | ! old ice thickness |
|---|
| 718 | zhice_old(ji,jl) = zv_old(ji,jl) & |
|---|
| 719 | / MAX ( za_old(ji,jl) , zeps ) * zindb |
|---|
| 720 | ! difference in thickness |
|---|
| 721 | zdhex(ji) = MAX( 0.0, zh_newice(ji) - zhice_old(ji,jl) ) |
|---|
| 722 | ! is ice totally new in category jl ? |
|---|
| 723 | zswinew(ji) = MAX( 0.0, SIGN( 1.0 , - za_old(ji,jl) + epsi11 ) ) |
|---|
| 724 | END DO |
|---|
| 725 | |
|---|
| 726 | DO jk = 1, nlay_i |
|---|
| 727 | DO ji = 1, nbpac |
|---|
| 728 | jl = zcatac(ji) |
|---|
| 729 | zqold = ze_i_ac(ji,jk,jl) ! [ J.m-3 ] |
|---|
| 730 | zalphai = MIN( zhice_old(ji,jl) * jk / nlay_i , & |
|---|
| 731 | zh_newice(ji) ) & |
|---|
| 732 | - MIN( zhice_old(ji,jl) * ( jk - 1 ) & |
|---|
| 733 | / nlay_i , zh_newice(ji) ) |
|---|
| 734 | ze_i_ac(ji,jk,jl) = & |
|---|
| 735 | zswinew(ji) * ze_newice(ji) & |
|---|
| 736 | + ( 1.0 - zswinew(ji) ) * & |
|---|
| 737 | ( za_old(ji,jl) * zqold * zhice_old(ji,jl) / nlay_i & |
|---|
| 738 | + za_newice(ji) * ze_newice(ji) * zalphai & |
|---|
| 739 | + za_newice(ji) * ze_newice(ji) * zdhex(ji) / nlay_i ) / & |
|---|
| 740 | ( ( zv_i_ac(ji,jl) ) / nlay_i ) |
|---|
| 741 | |
|---|
| 742 | END DO !ji |
|---|
| 743 | END DO !jl |
|---|
| 744 | |
|---|
| 745 | !----------------------------------------------- |
|---|
| 746 | ! Add excessive volume of new ice at the bottom |
|---|
| 747 | !----------------------------------------------- |
|---|
| 748 | ! If the ice concentration exceeds 1, the remaining volume of new ice |
|---|
| 749 | ! is equally redistributed among all ice categories in which there is |
|---|
| 750 | ! ice |
|---|
| 751 | |
|---|
| 752 | ! Fraction of level ice |
|---|
| 753 | jm = 1 |
|---|
| 754 | zat_i_lev(:) = 0.0 |
|---|
| 755 | |
|---|
| 756 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
|---|
| 757 | DO ji = 1, nbpac |
|---|
| 758 | zat_i_lev(ji) = zat_i_lev(ji) + za_i_ac(ji,jl) |
|---|
| 759 | END DO |
|---|
| 760 | END DO |
|---|
| 761 | |
|---|
| 762 | WRITE(numout,*) ' zv_i_ac : ', zv_i_ac(jiindex, 1:jpl) |
|---|
| 763 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
|---|
| 764 | DO ji = 1, nbpac |
|---|
| 765 | zindb = MAX( 0.0, SIGN( 1.0, zdv_res(ji) ) ) |
|---|
| 766 | zv_i_ac(ji,jl) = zv_i_ac(ji,jl) + & |
|---|
| 767 | zindb * zdv_res(ji) * za_i_ac(ji,jl) / & |
|---|
| 768 | MAX( zat_i_lev(ji) , epsi06 ) |
|---|
| 769 | END DO ! ji |
|---|
| 770 | END DO ! jl |
|---|
| 771 | WRITE(numout,*) ' zv_i_ac : ', zv_i_ac(jiindex, 1:jpl) |
|---|
| 772 | |
|---|
| 773 | !--------------------------------- |
|---|
| 774 | ! Heat content - bottom accretion |
|---|
| 775 | !--------------------------------- |
|---|
| 776 | jm = 1 |
|---|
| 777 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
|---|
| 778 | DO ji = 1, nbpac |
|---|
| 779 | ! zindb = 0 if no ice and 1 if yes |
|---|
| 780 | zindb = 1.0 - MAX( 0.0 , SIGN( 1.0 & |
|---|
| 781 | , - za_i_ac(ji,jl ) ) ) |
|---|
| 782 | zhice_old(ji,jl) = zv_i_ac(ji,jl) / & |
|---|
| 783 | MAX( za_i_ac(ji,jl) , zeps ) * zindb |
|---|
| 784 | zdhicbot(ji,jl) = zdv_res(ji) / MAX( za_i_ac(ji,jl) , zeps ) & |
|---|
| 785 | * zindb & |
|---|
| 786 | + zindb * zdh_frazb(ji) ! frazil ice |
|---|
| 787 | ! may coalesce |
|---|
| 788 | ! thickness of residual ice |
|---|
| 789 | zdummy(ji,jl) = zv_i_ac(ji,jl)/MAX(za_i_ac(ji,jl),zeps)*zindb |
|---|
| 790 | END DO !ji |
|---|
| 791 | END DO !jl |
|---|
| 792 | |
|---|
| 793 | ! old layers thicknesses and enthalpies |
|---|
| 794 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
|---|
| 795 | DO jk = 1, nlay_i |
|---|
| 796 | DO ji = 1, nbpac |
|---|
| 797 | zthick0(ji,jk,jl)= zhice_old(ji,jl) / nlay_i |
|---|
| 798 | zqm0 (ji,jk,jl)= ze_i_ac(ji,jk,jl) * zthick0(ji,jk,jl) |
|---|
| 799 | END DO !ji |
|---|
| 800 | END DO !jk |
|---|
| 801 | END DO !jl |
|---|
| 802 | |
|---|
| 803 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
|---|
| 804 | DO ji = 1, nbpac |
|---|
| 805 | zthick0(ji,nlay_i+1,jl) = zdhicbot(ji,jl) |
|---|
| 806 | zqm0 (ji,nlay_i+1,jl) = ze_newice(ji)*zdhicbot(ji,jl) |
|---|
| 807 | END DO ! ji |
|---|
| 808 | END DO ! jl |
|---|
| 809 | |
|---|
| 810 | ! Redistributing energy on the new grid |
|---|
| 811 | ze_i_ac(:,:,:) = 0.0 |
|---|
| 812 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
|---|
| 813 | DO jk = 1, nlay_i |
|---|
| 814 | DO layer = 1, nlay_i + 1 |
|---|
| 815 | DO ji = 1, nbpac |
|---|
| 816 | zindb = 1.0 - MAX( 0.0 , SIGN( 1.0 , & |
|---|
| 817 | - za_i_ac(ji,jl ) ) ) |
|---|
| 818 | ! Redistributing energy on the new grid |
|---|
| 819 | zweight = MAX ( & |
|---|
| 820 | MIN( zhice_old(ji,jl) * layer , zdummy(ji,jl) * jk ) - & |
|---|
| 821 | MAX( zhice_old(ji,jl) * ( layer - 1 ) , zdummy(ji,jl) * & |
|---|
| 822 | ( jk - 1 ) ) , 0.0 ) & |
|---|
| 823 | / ( MAX(nlay_i * zthick0(ji,layer,jl),zeps) ) * zindb |
|---|
| 824 | ze_i_ac(ji,jk,jl) = ze_i_ac(ji,jk,jl) + & |
|---|
| 825 | zweight * zqm0(ji,layer,jl) |
|---|
| 826 | END DO ! ji |
|---|
| 827 | END DO ! layer |
|---|
| 828 | END DO ! jk |
|---|
| 829 | END DO ! jl |
|---|
| 830 | |
|---|
| 831 | DO jl = ice_cat_bounds(jm,1), ice_cat_bounds(jm,2) |
|---|
| 832 | DO jk = 1, nlay_i |
|---|
| 833 | DO ji = 1, nbpac |
|---|
| 834 | zindb = 1.0 - MAX( 0.0 , SIGN( 1.0 & |
|---|
| 835 | , - zv_i_ac(ji,jl) ) ) !0 if no ice |
|---|
| 836 | ze_i_ac(ji,jk,jl) = ze_i_ac(ji,jk,jl) / & |
|---|
| 837 | MAX( zv_i_ac(ji,jl) , zeps) & |
|---|
| 838 | * za_i_ac(ji,jl) * nlay_i * zindb |
|---|
| 839 | END DO |
|---|
| 840 | END DO |
|---|
| 841 | END DO |
|---|
| 842 | |
|---|
| 843 | !------------ |
|---|
| 844 | ! Update age |
|---|
| 845 | !------------ |
|---|
| 846 | DO jl = 1, jpl |
|---|
| 847 | DO ji = 1, nbpac |
|---|
| 848 | !--ice age |
|---|
| 849 | zindb = 1.0 - MAX( 0.0 , SIGN( 1.0 , - & |
|---|
| 850 | za_i_ac(ji,jl) ) ) ! 0 if no ice and 1 if yes |
|---|
| 851 | !zo_i_ac(ji,jl) = zv_old(ji,jl) * zo_i_ac(ji,jl) / & |
|---|
| 852 | !MAX(zv_i_ac(ji,jl),zeps) * zindb |
|---|
| 853 | zoa_i_ac(ji,jl) = za_old(ji,jl) * zoa_i_ac(ji,jl) / & |
|---|
| 854 | MAX( za_i_ac(ji,jl) , zeps ) * zindb |
|---|
| 855 | END DO ! ji |
|---|
| 856 | END DO ! jl |
|---|
| 857 | |
|---|
| 858 | !----------------- |
|---|
| 859 | ! Update salinity |
|---|
| 860 | !----------------- |
|---|
| 861 | IF ( ( num_sal .EQ. 2 ) .OR. ( num_sal .EQ. 4 ) ) THEN |
|---|
| 862 | |
|---|
| 863 | DO jl = 1, jpl |
|---|
| 864 | DO ji = 1, nbpac |
|---|
| 865 | !zindb = 0 if no ice and 1 if yes |
|---|
| 866 | zindb = 1.0 - MAX( 0.0 , SIGN( 1.0 , - & |
|---|
| 867 | zv_i_ac(ji,jl) ) ) ! 0 if no ice and 1 if yes |
|---|
| 868 | zdv = zv_i_ac(ji,jl) - zv_old(ji,jl) |
|---|
| 869 | zsmv_i_ac(ji,jl) = ( zsmv_i_ac(ji,jl) + zdv * zs_newice(ji) ) * & |
|---|
| 870 | zindb |
|---|
| 871 | END DO ! ji |
|---|
| 872 | END DO ! jl |
|---|
| 873 | |
|---|
| 874 | ENDIF ! num_sal |
|---|
| 875 | |
|---|
| 876 | !--------------------------------- |
|---|
| 877 | ! Salt flux due to new ice growth |
|---|
| 878 | !--------------------------------- |
|---|
| 879 | IF ( ( num_sal .EQ. 4 ) ) THEN |
|---|
| 880 | DO ji = 1, nbpac |
|---|
| 881 | zji = MOD( npac(ji) - 1, jpi ) + 1 |
|---|
| 882 | zjj = ( npac(ji) - 1 ) / jpi + 1 |
|---|
| 883 | fseqv_1d(ji) = fseqv_1d(ji) + & |
|---|
| 884 | ( sss_io(zji,zjj) - bulk_sal ) * rhoic * & |
|---|
| 885 | zv_newice(ji) / rdt_ice |
|---|
| 886 | END DO |
|---|
| 887 | ELSE |
|---|
| 888 | DO ji = 1, nbpac |
|---|
| 889 | zji = MOD( npac(ji) - 1, jpi ) + 1 |
|---|
| 890 | zjj = ( npac(ji) - 1 ) / jpi + 1 |
|---|
| 891 | fseqv_1d(ji) = fseqv_1d(ji) + & |
|---|
| 892 | ( sss_io(zji,zjj) - zs_newice(ji) ) * rhoic * & |
|---|
| 893 | zv_newice(ji) / rdt_ice |
|---|
| 894 | END DO ! ji |
|---|
| 895 | ENDIF |
|---|
| 896 | |
|---|
| 897 | !------------------------------------------------------------------------------! |
|---|
| 898 | ! 8) Change 2D vectors to 1D vectors |
|---|
| 899 | !------------------------------------------------------------------------------! |
|---|
| 900 | |
|---|
| 901 | DO jl = 1, jpl |
|---|
| 902 | CALL tab_1d_2d( nbpac, a_i(:,:,jl) , npac(1:nbpac) , & |
|---|
| 903 | za_i_ac(1:nbpac,jl) , jpi, jpj ) |
|---|
| 904 | CALL tab_1d_2d( nbpac, v_i(:,:,jl) , npac(1:nbpac) , & |
|---|
| 905 | zv_i_ac(1:nbpac,jl) , jpi, jpj ) |
|---|
| 906 | CALL tab_1d_2d( nbpac, oa_i(:,:,jl), npac(1:nbpac) , & |
|---|
| 907 | zoa_i_ac(1:nbpac,jl), jpi, jpj ) |
|---|
| 908 | IF ( ( num_sal .EQ. 2 ) .OR. ( num_sal .EQ. 4 ) ) & |
|---|
| 909 | CALL tab_1d_2d( nbpac, smv_i(:,:,jl) , npac(1:nbpac) , & |
|---|
| 910 | zsmv_i_ac(1:nbpac,jl) , jpi, jpj ) |
|---|
| 911 | DO jk = 1, nlay_i |
|---|
| 912 | CALL tab_1d_2d( nbpac, e_i(:,:,jk,jl) , npac(1:nbpac), & |
|---|
| 913 | ze_i_ac(1:nbpac,jk,jl), jpi, jpj ) |
|---|
| 914 | END DO ! jk |
|---|
| 915 | END DO !jl |
|---|
| 916 | CALL tab_1d_2d( nbpac, fseqv , npac(1:nbpac), fseqv_1d (1:nbpac) , & |
|---|
| 917 | jpi, jpj ) |
|---|
| 918 | |
|---|
| 919 | ENDIF ! nbpac > 0 |
|---|
| 920 | |
|---|
| 921 | !------------------------------------------------------------------------------! |
|---|
| 922 | ! 9) Change units for e_i |
|---|
| 923 | !------------------------------------------------------------------------------! |
|---|
| 924 | |
|---|
| 925 | DO jl = 1, jpl |
|---|
| 926 | DO jk = 1, nlay_i |
|---|
| 927 | DO jj = 1, jpj |
|---|
| 928 | DO ji = 1, jpi |
|---|
| 929 | ! Correct dimensions to avoid big values |
|---|
| 930 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) / unit_fac |
|---|
| 931 | |
|---|
| 932 | ! Mutliply by ice volume, and divide by number |
|---|
| 933 | ! of layers to get heat content in 10^9 Joules |
|---|
| 934 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) * & |
|---|
| 935 | area(ji,jj) * v_i(ji,jj,jl) / & |
|---|
| 936 | nlay_i |
|---|
| 937 | END DO |
|---|
| 938 | END DO |
|---|
| 939 | END DO |
|---|
| 940 | END DO |
|---|
| 941 | |
|---|
| 942 | !++++ |
|---|
| 943 | WRITE(numout,*) 'lim_thd_lac : Salt flux diagnostic ' |
|---|
| 944 | WRITE(numout,*) '~~~~~~~~~~~~' |
|---|
| 945 | WRITE(numout,*) ' *** Salt fluxes at bottom interface ***' |
|---|
| 946 | WRITE(numout,*) ' fseqv : ', fseqv(jiindex,jjindex) |
|---|
| 947 | WRITE(numout,*) |
|---|
| 948 | !++++ |
|---|
| 949 | |
|---|
| 950 | !------------------------------------------------------------------------------| |
|---|
| 951 | ! 10) Conservation check and changes in each ice category |
|---|
| 952 | !------------------------------------------------------------------------------| |
|---|
| 953 | |
|---|
| 954 | CALL lim_column_sum (jpl, v_i, vt_i_final) |
|---|
| 955 | fieldid = 'v_i, limthd_lac' |
|---|
| 956 | CALL lim_cons_check (vt_i_init, vt_i_final, 1.0e-6, fieldid) |
|---|
| 957 | |
|---|
| 958 | CALL lim_column_sum_energy(jpl, nlay_i, e_i, et_i_final) |
|---|
| 959 | fieldid = 'e_i, limthd_lac' |
|---|
| 960 | CALL lim_cons_check (et_i_final, et_i_final, 1.0e-3, fieldid) |
|---|
| 961 | |
|---|
| 962 | CALL lim_column_sum (jpl, v_s, vt_s_final) |
|---|
| 963 | fieldid = 'v_s, limthd_lac' |
|---|
| 964 | CALL lim_cons_check (vt_s_init, vt_s_final, 1.0e-6, fieldid) |
|---|
| 965 | |
|---|
| 966 | ! CALL lim_column_sum (jpl, e_s(:,:,1,:) , et_s_init) |
|---|
| 967 | ! fieldid = 'e_s, limthd_lac' |
|---|
| 968 | ! CALL lim_cons_check (et_s_init, et_s_final, 1.0e-3, fieldid) |
|---|
| 969 | |
|---|
| 970 | WRITE(numout,*) ' vt_i_init : ', vt_i_init(jiindex,jjindex) |
|---|
| 971 | WRITE(numout,*) ' vt_i_final: ', vt_i_final(jiindex,jjindex) |
|---|
| 972 | WRITE(numout,*) ' et_i_init : ', et_i_init(jiindex,jjindex) |
|---|
| 973 | WRITE(numout,*) ' et_i_final: ', et_i_final(jiindex,jjindex) |
|---|
| 974 | |
|---|
| 975 | END SUBROUTINE lim_thd_lac |
|---|
| 976 | |
|---|
| 977 | #else |
|---|
| 978 | !!====================================================================== |
|---|
| 979 | !! *** MODULE limthd_lac *** |
|---|
| 980 | !! no sea ice model |
|---|
| 981 | !!====================================================================== |
|---|
| 982 | CONTAINS |
|---|
| 983 | SUBROUTINE lim_thd_lac ! Empty routine |
|---|
| 984 | END SUBROUTINE lim_thd_lac |
|---|
| 985 | #endif |
|---|
| 986 | END MODULE limthd_lac |
|---|
