[825] | 1 | MODULE limthd_dh |
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| 2 | #if defined key_lim3 |
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[834] | 3 | !!---------------------------------------------------------------------- |
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| 4 | !! 'key_lim3' LIM3 sea-ice model |
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| 5 | !!---------------------------------------------------------------------- |
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[825] | 6 | !!====================================================================== |
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| 7 | !! *** MODULE limthd_dh *** |
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| 8 | !! thermodynamic growth and decay of the ice |
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| 9 | !!====================================================================== |
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| 10 | |
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| 11 | !!---------------------------------------------------------------------- |
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| 12 | !! lim_thd_dh : vertical accr./abl. and lateral ablation of sea ice |
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| 13 | !! * Modules used |
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| 14 | |
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| 15 | USE par_oce ! ocean parameters |
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| 16 | USE phycst ! physical constants (OCE directory) |
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| 17 | USE ice_oce ! ice variables |
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[888] | 18 | USE sbc_oce ! Surface boundary condition: ocean fields |
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[825] | 19 | USE thd_ice |
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| 20 | USE iceini |
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| 21 | USE limistate |
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| 22 | USE in_out_manager |
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| 23 | USE ice |
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| 24 | USE par_ice |
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[869] | 25 | USE lib_mpp |
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[825] | 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_dh ! 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 = 1e-20 , & |
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| 36 | epsi13 = 1e-13 , & |
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| 37 | epsi16 = 1e-16 , & |
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| 38 | zzero = 0.e0 , & |
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| 39 | zone = 1.e0 |
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| 40 | |
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| 41 | !!---------------------------------------------------------------------- |
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[834] | 42 | !! LIM 3.0, UCL-ASTR-LOCEAN-IPSL (2008) |
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[825] | 43 | !!---------------------------------------------------------------------- |
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| 44 | |
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| 45 | CONTAINS |
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| 46 | |
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| 47 | SUBROUTINE lim_thd_dh(kideb,kiut,jl) |
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| 48 | !!------------------------------------------------------------------ |
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| 49 | !! *** ROUTINE lim_thd_dh *** |
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| 50 | !!------------------------------------------------------------------ |
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| 51 | !! ** Purpose : |
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| 52 | !! This routine determines variations of ice and snow thicknesses. |
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| 53 | !! ** Method : |
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| 54 | !! Ice/Snow surface melting arises from imbalance in surface fluxes |
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| 55 | !! Bottom accretion/ablation arises from flux budget |
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| 56 | !! Snow thickness can increase by precipitation and decrease by |
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| 57 | !! sublimation |
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| 58 | !! If snow load excesses Archmiede limit, snow-ice is formed by |
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| 59 | !! the flooding of sea-water in the snow |
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| 60 | !! ** Steps |
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| 61 | !! 1) Compute available flux of heat for surface ablation |
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| 62 | !! 2) Compute snow and sea ice enthalpies |
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| 63 | !! 3) Surface ablation and sublimation |
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| 64 | !! 4) Bottom accretion/ablation |
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| 65 | !! 5) Case of Total ablation |
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| 66 | !! 6) Snow ice formation |
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| 67 | !! |
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| 68 | !! ** Arguments |
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| 69 | !! |
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| 70 | !! ** Inputs / Outputs |
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| 71 | !! |
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| 72 | !! ** External |
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| 73 | !! |
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| 74 | !! ** References : Bitz and Lipscomb, JGR 99 |
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| 75 | !! Fichefet T. and M. Maqueda 1997, J. Geophys. Res., 102(C6), 12609-12646 |
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[834] | 76 | !! Vancoppenolle, Fichefet and Bitz, GRL 2005 |
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| 77 | !! Vancoppenolle et al., OM08 |
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[825] | 78 | !! |
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| 79 | !! ** History : |
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| 80 | !! original code 01-04 (LIM) |
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| 81 | !! original routine |
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[834] | 82 | !! (05-2003) M. Vancoppenolle, Louvain-La-Neuve, Belgium |
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| 83 | !! (06/07-2005) 3D version |
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| 84 | !! (03-2008) Clean code |
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[825] | 85 | !! |
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| 86 | !!------------------------------------------------------------------ |
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| 87 | !! * Arguments |
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| 88 | INTEGER , INTENT (IN) :: & |
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| 89 | kideb , & !: Start point on which the the computation is applied |
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| 90 | kiut , & !: End point on which the the computation is applied |
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| 91 | jl !: Thickness cateogry number |
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| 92 | |
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| 93 | !! * Local variables |
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| 94 | INTEGER :: & |
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| 95 | ji , & !: space index |
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| 96 | jk , & !: ice layer index |
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| 97 | isnow , & !: switch for presence (1) or absence (0) of snow |
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| 98 | zji , & !: 2D corresponding indices to ji |
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| 99 | zjj , & |
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| 100 | isnowic , & !: snow ice formation not |
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| 101 | i_ice_switch , & !: ice thickness above a certain treshold or not |
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| 102 | iter |
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| 103 | |
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| 104 | REAL(wp) :: & |
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| 105 | zhsnew , & !: new snow thickness |
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| 106 | zihgnew , & !: switch for total ablation |
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| 107 | ztmelts , & !: melting point |
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| 108 | zhn , & |
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| 109 | zdhcf , & |
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| 110 | zdhbf , & |
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| 111 | zhni , & |
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| 112 | zhnfi , & |
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| 113 | zihg , & |
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| 114 | zdhnm , & |
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| 115 | zhnnew , & |
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| 116 | zeps = 1.0e-13, & |
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| 117 | zhisn , & |
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| 118 | zfracs , & !: fractionation coefficient for bottom salt |
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| 119 | !: entrapment |
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| 120 | zds , & !: increment of bottom ice salinity |
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| 121 | zcoeff , & !: dummy argument for snowfall partitioning |
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| 122 | !: over ice and leads |
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| 123 | zsm_snowice, & !: snow-ice salinity |
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| 124 | zswi1 , & !: switch for computation of bottom salinity |
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| 125 | zswi12 , & !: switch for computation of bottom salinity |
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| 126 | zswi2 , & !: switch for computation of bottom salinity |
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| 127 | zgrr , & !: bottom growth rate |
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| 128 | zihic , & !: |
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| 129 | ztform !: bottom formation temperature |
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| 130 | |
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| 131 | REAL(wp) , DIMENSION(jpij) :: & |
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| 132 | zh_i , & ! ice layer thickness |
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| 133 | zh_s , & ! snow layer thickness |
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| 134 | ztfs , & ! melting point |
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| 135 | zhsold , & ! old snow thickness |
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| 136 | zqprec , & !: energy of fallen snow |
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| 137 | zqfont_su , & ! incoming, remaining surface energy |
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| 138 | zqfont_bo ! incoming, bottom energy |
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| 139 | |
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| 140 | REAL(wp) , DIMENSION(jpij) :: & |
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| 141 | z_f_surf, & ! surface heat for ablation |
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| 142 | zhgnew ! new ice thickness |
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| 143 | |
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| 144 | REAL(wp), DIMENSION(jpij) :: & |
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| 145 | zdh_s_mel , & ! snow melt |
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| 146 | zdh_s_pre , & ! snow precipitation |
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| 147 | zdh_s_sub , & ! snow sublimation |
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| 148 | zfsalt_melt ! salt flux due to ice melt |
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| 149 | |
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| 150 | REAL(wp) , DIMENSION(jpij,jkmax) :: & |
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| 151 | zdeltah |
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| 152 | |
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| 153 | ! Pathological cases |
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| 154 | REAL(wp), DIMENSION(jpij) :: & |
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| 155 | zfdt_init , & !: total incoming heat for ice melt |
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| 156 | zfdt_final , & !: total remaing heat for ice melt |
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| 157 | zqt_i , & !: total ice heat content |
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| 158 | zqt_s , & !: total snow heat content |
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| 159 | zqt_dummy !: dummy heat content |
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| 160 | |
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| 161 | REAL(wp), DIMENSION(jpij,jkmax) :: & |
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[834] | 162 | zqt_i_lay !: total ice heat content |
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[825] | 163 | |
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| 164 | ! Heat conservation |
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| 165 | REAL(wp), DIMENSION(jpij) :: & |
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| 166 | zfbase, & |
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| 167 | zdq_i |
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| 168 | |
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| 169 | INTEGER, DIMENSION(jpij) :: & |
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| 170 | innermelt |
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| 171 | |
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| 172 | REAL(wp) :: & |
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| 173 | meance_dh |
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| 174 | |
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| 175 | INTEGER :: & |
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| 176 | num_iter_max, & |
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| 177 | numce_dh |
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| 178 | |
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| 179 | !!----------------------------------------------------------------------------- |
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| 180 | |
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| 181 | WRITE(numout,*) 'lim_thd_dh : computation of vertical snow/ice accretion/ablation' |
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| 182 | WRITE(numout,*) '~~~~~~~~~' |
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[834] | 183 | |
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[825] | 184 | zfsalt_melt(:) = 0.0 |
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| 185 | ftotal_fin(:) = 0.0 |
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| 186 | zfdt_init(:) = 0.0 |
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| 187 | zfdt_final(:) = 0.0 |
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| 188 | |
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| 189 | DO ji = kideb, kiut |
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| 190 | old_ht_i_b(ji) = ht_i_b(ji) |
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| 191 | old_ht_s_b(ji) = ht_s_b(ji) |
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| 192 | END DO |
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| 193 | ! |
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| 194 | !------------------------------------------------------------------------------! |
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| 195 | ! 1) Calculate available heat for surface ablation ! |
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| 196 | !------------------------------------------------------------------------------! |
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| 197 | ! |
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| 198 | DO ji = kideb,kiut |
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| 199 | isnow = INT( 1.0 - MAX ( 0.0 , SIGN ( 1.0 , - ht_s_b(ji) ) ) ) |
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| 200 | ztfs(ji) = isnow * rtt + ( 1.0 - isnow ) * rtt |
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| 201 | z_f_surf(ji) = qnsr_ice_1d(ji) + ( 1.0 - i0(ji) ) * & |
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| 202 | qsr_ice_1d(ji) - fc_su(ji) |
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| 203 | z_f_surf(ji) = MAX( zzero , z_f_surf(ji) ) * & |
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| 204 | MAX( zzero , SIGN( zone , t_su_b(ji) - ztfs(ji) ) ) |
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| 205 | zfdt_init(ji) = ( z_f_surf(ji) + & |
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| 206 | MAX( fbif_1d(ji) + qlbbq_1d(ji) + fc_bo_i(ji),0.0 ) ) & |
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| 207 | * rdt_ice |
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| 208 | END DO ! ji |
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| 209 | |
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| 210 | zqfont_su(:) = 0.0 |
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| 211 | zqfont_bo(:) = 0.0 |
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| 212 | dsm_i_se_1d(:) = 0.0 |
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| 213 | dsm_i_si_1d(:) = 0.0 |
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[834] | 214 | ! |
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[825] | 215 | !------------------------------------------------------------------------------! |
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| 216 | ! 2) Computing layer thicknesses and snow and sea-ice enthalpies. ! |
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| 217 | !------------------------------------------------------------------------------! |
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[834] | 218 | ! |
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[825] | 219 | ! Layer thickness |
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| 220 | DO ji = kideb,kiut |
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| 221 | zh_i(ji) = ht_i_b(ji) / nlay_i |
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| 222 | zh_s(ji) = ht_s_b(ji) / nlay_s |
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| 223 | END DO |
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| 224 | |
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[834] | 225 | ! Total enthalpy of the snow |
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[825] | 226 | zqt_s(:) = 0.0 |
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| 227 | DO jk = 1, nlay_s |
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| 228 | DO ji = kideb,kiut |
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| 229 | zqt_s(ji) = zqt_s(ji) + q_s_b(ji,jk) * ht_s_b(ji) / nlay_s |
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| 230 | END DO |
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| 231 | END DO |
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| 232 | |
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[834] | 233 | ! Total enthalpy of the ice |
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[825] | 234 | zqt_i(:) = 0.0 |
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| 235 | DO jk = 1, nlay_i |
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| 236 | DO ji = kideb,kiut |
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| 237 | zqt_i(ji) = zqt_i(ji) + q_i_b(ji,jk) * ht_i_b(ji) / nlay_i |
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| 238 | zqt_i_lay(ji,jk) = q_i_b(ji,jk) * ht_i_b(ji) / nlay_i |
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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) Surface ablation and sublimation | |
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| 244 | !------------------------------------------------------------------------------| |
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| 245 | ! |
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[834] | 246 | !------------------------- |
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| 247 | ! 3.1 Snow precips / melt |
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| 248 | !------------------------- |
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[825] | 249 | ! Snow accumulation in one thermodynamic time step |
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| 250 | ! snowfall is partitionned between leads and ice |
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| 251 | ! if snow fall was uniform, a fraction (1-at_i) would fall into leads |
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| 252 | ! but because of the winds, more snow falls on leads than on sea ice |
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| 253 | ! and a greater fraction (1-at_i)^beta of the total mass of snow |
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[834] | 254 | ! (beta < 1) falls in leads. |
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[825] | 255 | ! In reality, beta depends on wind speed, |
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| 256 | ! and should decrease with increasing wind speed but here, it is |
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[834] | 257 | ! considered as a constant. an average value is 0.66 |
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[825] | 258 | ! Martin Vancoppenolle, December 2006 |
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| 259 | |
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| 260 | ! Snow fall |
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| 261 | DO ji = kideb, kiut |
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| 262 | zcoeff = ( 1.0 - ( 1.0 - at_i_b(ji) )**betas ) / at_i_b(ji) |
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| 263 | zdh_s_pre(ji) = zcoeff * sprecip_1d(ji) * rdt_ice / rhosn |
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| 264 | END DO |
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| 265 | zdh_s_mel(:) = 0.0 |
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| 266 | |
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| 267 | ! Melt of fallen snow |
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| 268 | DO ji = kideb, kiut |
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| 269 | ! tatm_ice is now in K |
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| 270 | zqprec(ji) = rhosn * ( cpic * ( rtt - tatm_ice_1d(ji) ) + lfus ) |
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| 271 | zqfont_su(ji) = z_f_surf(ji) * rdt_ice |
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| 272 | zdeltah(ji,1) = MIN( 0.0 , - zqfont_su(ji) / MAX( zqprec(ji) , epsi13 ) ) |
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| 273 | zqfont_su(ji) = MAX( 0.0 , - zdh_s_pre(ji) - zdeltah(ji,1) ) * & |
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| 274 | zqprec(ji) |
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| 275 | zdeltah(ji,1) = MAX( - zdh_s_pre(ji) , zdeltah(ji,1) ) |
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| 276 | zdh_s_mel(ji) = zdh_s_mel(ji) + zdeltah(ji,1) |
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| 277 | ! heat conservation |
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| 278 | qt_s_in(ji,jl) = qt_s_in(ji,jl) + zqprec(ji) * zdh_s_pre(ji) |
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| 279 | zqt_s(ji) = zqt_s(ji) + zqprec(ji) * zdh_s_pre(ji) |
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| 280 | END DO |
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| 281 | |
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[834] | 282 | ! Update total snow heat content |
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[825] | 283 | zqt_s(ji) = MAX ( zqt_s(ji) - zqfont_su(ji) , 0.0 ) |
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[869] | 284 | IF( lk_mpp ) CALL mpp_max(zqt_s(ji), kcom = ncomm_ice ) |
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[825] | 285 | |
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| 286 | ! Snow melt due to surface heat imbalance |
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| 287 | DO jk = 1, nlay_s |
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| 288 | DO ji = kideb, kiut |
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| 289 | zdeltah(ji,jk) = - zqfont_su(ji) / q_s_b(ji,jk) |
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| 290 | zqfont_su(ji) = MAX( 0.0 , - zh_s(ji) - zdeltah(ji,jk) ) * & |
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| 291 | q_s_b(ji,jk) |
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| 292 | zdeltah(ji,jk) = MAX( zdeltah(ji,jk) , - zh_s(ji) ) |
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| 293 | zdh_s_mel(ji) = zdh_s_mel(ji) + zdeltah(ji,jk) !resulting melt of snow |
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| 294 | END DO |
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| 295 | END DO |
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| 296 | |
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| 297 | ! Apply snow melt to snow depth |
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| 298 | DO ji = kideb, kiut |
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| 299 | dh_s_tot(ji) = zdh_s_mel(ji) + zdh_s_pre(ji) |
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| 300 | ! Old and new snow depths |
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| 301 | zhsold(ji) = ht_s_b(ji) |
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| 302 | zhsnew = ht_s_b(ji) + dh_s_tot(ji) |
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| 303 | ! If snow is still present zhn = 1, else zhn = 0 |
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| 304 | zhn = 1.0 - MAX( zzero , SIGN( zone , - zhsnew ) ) |
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| 305 | ht_s_b(ji) = MAX( zzero , zhsnew ) |
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| 306 | ! Volume and mass variations of snow |
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| 307 | dvsbq_1d(ji) = a_i_b(ji) * ( ht_s_b(ji) - zhsold(ji) & |
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| 308 | - zdh_s_mel(ji) ) |
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| 309 | dvsbq_1d(ji) = MIN( zzero, dvsbq_1d(ji) ) |
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| 310 | rdmsnif_1d(ji) = rhosn*dvsbq_1d(ji) |
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| 311 | END DO ! ji |
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| 312 | |
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[834] | 313 | !-------------------------- |
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| 314 | ! 3.2 Surface ice ablation |
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| 315 | !-------------------------- |
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[825] | 316 | DO ji = kideb, kiut |
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| 317 | dh_i_surf(ji) = 0.0 |
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[834] | 318 | ! For heat conservation test |
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[825] | 319 | z_f_surf(ji) = zqfont_su(ji) / rdt_ice ! heat conservation test |
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| 320 | zdq_i(ji) = 0.0 |
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| 321 | END DO ! ji |
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| 322 | |
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| 323 | DO jk = 1, nlay_i |
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| 324 | DO ji = kideb, kiut |
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[834] | 325 | ! melt of layer jk |
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[825] | 326 | zdeltah(ji,jk) = - zqfont_su(ji) / q_i_b(ji,jk) |
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[834] | 327 | ! recompute heat available |
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[825] | 328 | zqfont_su(ji) = MAX( 0.0 , - zh_i(ji) - zdeltah(ji,jk) ) * & |
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| 329 | q_i_b(ji,jk) |
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[834] | 330 | ! melt of layer jk cannot be higher than its thickness |
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[825] | 331 | zdeltah(ji,jk) = MAX( zdeltah(ji,jk) , - zh_i(ji) ) |
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[834] | 332 | ! update surface melt |
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[825] | 333 | dh_i_surf(ji) = dh_i_surf(ji) + zdeltah(ji,jk) |
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[834] | 334 | ! for energy conservation |
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[825] | 335 | zdq_i(ji) = zdq_i(ji) + zdeltah(ji,jk) * & |
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| 336 | q_i_b(ji,jk) / rdt_ice |
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[834] | 337 | ! contribution to ice-ocean salt flux |
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[825] | 338 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
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| 339 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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| 340 | zfsalt_melt(ji) = zfsalt_melt(ji) + & |
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[888] | 341 | ( sss_m(zji,zjj) - sm_i_b(ji) ) * & |
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[825] | 342 | a_i_b(ji) * & |
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| 343 | MIN( zdeltah(ji,jk) , 0.0 ) * rhoic / rdt_ice |
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| 344 | END DO ! ji |
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| 345 | END DO ! jk |
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| 346 | |
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| 347 | !------------------- |
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| 348 | ! Conservation test |
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| 349 | !------------------- |
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| 350 | IF ( con_i ) THEN |
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| 351 | numce_dh = 0 |
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| 352 | meance_dh = 0.0 |
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| 353 | DO ji = kideb, kiut |
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| 354 | |
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| 355 | IF ( ( z_f_surf(ji) + zdq_i(ji) ) .GE. 1.0e-3 ) THEN |
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| 356 | numce_dh = numce_dh + 1 |
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| 357 | meance_dh = meance_dh + z_f_surf(ji) + zdq_i(ji) |
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| 358 | ENDIF |
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| 359 | |
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[834] | 360 | IF ( z_f_surf(ji) + zdq_i(ji) .GE. 1.0e-3 ) THEN! |
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[825] | 361 | WRITE(numout,*) ' ALERTE heat loss for surface melt ' |
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| 362 | WRITE(numout,*) ' zji, zjj, jl :', zji, zjj, jl |
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| 363 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
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| 364 | WRITE(numout,*) ' z_f_surf : ', z_f_surf(ji) |
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| 365 | WRITE(numout,*) ' zdq_i : ', zdq_i(ji) |
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| 366 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
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| 367 | WRITE(numout,*) ' fc_bo_i : ', fc_bo_i(ji) |
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| 368 | WRITE(numout,*) ' fbif_1d : ', fbif_1d(ji) |
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| 369 | WRITE(numout,*) ' qlbbq_1d: ', qlbbq_1d(ji) |
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| 370 | WRITE(numout,*) ' s_i_new : ', s_i_new(ji) |
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[888] | 371 | WRITE(numout,*) ' sss_m : ', sss_m(zji,zjj) |
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[825] | 372 | ENDIF |
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| 373 | |
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| 374 | END DO ! ji |
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| 375 | |
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| 376 | IF ( numce_dh .GT. 0 ) meance_dh = meance_dh / numce_dh |
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| 377 | WRITE(numout,*) ' Error report - Category : ', jl |
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| 378 | WRITE(numout,*) ' ~~~~~~~~~~~~ ' |
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| 379 | WRITE(numout,*) ' Number of points where there is sur. me. error : ', numce_dh |
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| 380 | WRITE(numout,*) ' Mean basal growth error on error points : ', meance_dh |
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| 381 | |
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| 382 | ENDIF ! con_i |
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| 383 | |
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[834] | 384 | !---------------------- |
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| 385 | ! 3.3 Snow sublimation |
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| 386 | !---------------------- |
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[825] | 387 | |
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| 388 | DO ji = kideb, kiut |
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| 389 | ! if qla is positive (upwards), heat goes to the atmosphere, therefore |
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| 390 | ! snow sublimates, if qla is negative (downwards), snow condensates |
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| 391 | zdh_s_sub(ji) = - parsub * qla_ice_1d(ji) / ( rhosn * lsub ) * rdt_ice |
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| 392 | dh_s_tot(ji) = dh_s_tot(ji) + zdh_s_sub(ji) |
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| 393 | zdhcf = ht_s_b(ji) + zdh_s_sub(ji) |
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| 394 | ht_s_b(ji) = MAX( zzero , zdhcf ) |
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| 395 | ! we recompute dh_s_tot |
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| 396 | dh_s_tot(ji) = ht_s_b(ji) - zhsold(ji) |
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| 397 | qt_s_in(ji,jl) = qt_s_in(ji,jl) + zdh_s_sub(ji)*q_s_b(ji,1) |
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| 398 | END DO !ji |
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| 399 | |
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| 400 | zqt_dummy(:) = 0.0 |
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| 401 | DO jk = 1, nlay_s |
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| 402 | DO ji = kideb,kiut |
---|
| 403 | q_s_b(ji,jk) = rhosn * ( cpic * ( rtt - t_s_b(ji,jk) ) + lfus ) |
---|
| 404 | ! heat conservation |
---|
| 405 | zqt_dummy(ji) = zqt_dummy(ji) + q_s_b(ji,jk) * ht_s_b(ji) / nlay_s |
---|
| 406 | END DO |
---|
| 407 | END DO |
---|
| 408 | |
---|
| 409 | DO jk = 1, nlay_s !n |
---|
| 410 | DO ji = kideb, kiut !n |
---|
| 411 | ! In case of disparition of the snow, we have to update the snow |
---|
| 412 | ! temperatures |
---|
| 413 | zhisn = MAX( zzero , SIGN( zone, - ht_s_b(ji) ) ) |
---|
| 414 | t_s_b(ji,jk) = ( 1.0 - zhisn ) * t_s_b(ji,jk) + zhisn * rtt |
---|
| 415 | q_s_b(ji,jk) = ( 1.0 - zhisn ) * q_s_b(ji,jk) |
---|
| 416 | END DO |
---|
| 417 | END DO |
---|
| 418 | |
---|
| 419 | ! |
---|
| 420 | !------------------------------------------------------------------------------! |
---|
| 421 | ! 4) Basal growth / melt ! |
---|
| 422 | !------------------------------------------------------------------------------! |
---|
| 423 | ! |
---|
| 424 | ! Ice basal growth / melt is given by the ratio of heat budget over basal |
---|
| 425 | ! ice heat content. Basal heat budget is given by the difference between |
---|
| 426 | ! the inner conductive flux (fc_bo_i), from the open water heat flux |
---|
| 427 | ! (qlbbqb) and the turbulent ocean flux (fbif). |
---|
[834] | 428 | ! fc_bo_i is positive downwards. fbif and qlbbq are positive to the ice |
---|
[825] | 429 | |
---|
[834] | 430 | !----------------------------------------------------- |
---|
| 431 | ! 4.1 Basal growth - (a) salinity not varying in time |
---|
| 432 | !----------------------------------------------------- |
---|
| 433 | IF ( ( num_sal .NE. 2 ) .AND. ( num_sal .NE. 4 ) ) THEN |
---|
[825] | 434 | DO ji = kideb, kiut |
---|
| 435 | IF ( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) .LT. 0.0 ) THEN |
---|
| 436 | s_i_new(ji) = sm_i_b(ji) |
---|
| 437 | ! Melting point in K |
---|
| 438 | ztmelts = - tmut * s_i_new(ji) + rtt |
---|
| 439 | ! New ice heat content (Bitz and Lipscomb, 1999) |
---|
| 440 | ztform = t_i_b(ji,nlay_i) ! t_bo_b crashes in the |
---|
| 441 | ! Baltic |
---|
| 442 | q_i_b(ji,nlay_i+1) = rhoic * & |
---|
| 443 | ( cpic * ( ztmelts - ztform ) & |
---|
| 444 | + lfus * ( 1.0 - ( ztmelts - rtt ) / & |
---|
| 445 | ( ztform - rtt ) ) & |
---|
| 446 | - rcp * ( ztmelts-rtt ) ) |
---|
| 447 | ! Basal growth rate = - F*dt / q |
---|
| 448 | dh_i_bott(ji) = - rdt_ice*( fc_bo_i(ji) + fbif_1d(ji) + & |
---|
| 449 | qlbbq_1d(ji) ) / q_i_b(ji,nlay_i+1) |
---|
| 450 | ENDIF ! heat budget |
---|
| 451 | END DO ! ji |
---|
| 452 | ENDIF ! num_sal |
---|
| 453 | |
---|
[834] | 454 | !------------------------------------------------- |
---|
| 455 | ! 4.1 Basal growth - (b) salinity varying in time |
---|
| 456 | !------------------------------------------------- |
---|
[825] | 457 | IF ( ( num_sal .EQ. 2 ) .OR. ( num_sal .EQ. 4 ) ) THEN |
---|
| 458 | ! the growth rate (dh_i_bott) is function of the new ice |
---|
| 459 | ! heat content (q_i_b(nlay_i+1)). q_i_b depends on the new ice |
---|
| 460 | ! salinity (snewice). snewice depends on dh_i_bott |
---|
| 461 | ! it converges quickly, so, no problem |
---|
[834] | 462 | ! See Vancoppenolle et al., OM08 for more info on this |
---|
[825] | 463 | |
---|
| 464 | ! Initial value (tested 1D, can be anything between 1 and 20) |
---|
| 465 | num_iter_max = 4 |
---|
| 466 | s_i_new(:) = 4.0 |
---|
| 467 | |
---|
| 468 | ! Iterative procedure |
---|
| 469 | DO iter = 1, num_iter_max |
---|
| 470 | DO ji = kideb, kiut |
---|
| 471 | IF ( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) .LT. 0.0 ) THEN |
---|
| 472 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
---|
| 473 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
---|
| 474 | ! Melting point in K |
---|
| 475 | ztmelts = - tmut * s_i_new(ji) + rtt |
---|
| 476 | ! New ice heat content (Bitz and Lipscomb, 1999) |
---|
| 477 | q_i_b(ji,nlay_i+1) = rhoic * & |
---|
| 478 | ( cpic * ( ztmelts - t_bo_b(ji) ) & |
---|
| 479 | + lfus * ( 1.0 - ( ztmelts - rtt ) / & |
---|
| 480 | ( t_bo_b(ji) - rtt ) ) & |
---|
| 481 | - rcp * ( ztmelts-rtt ) ) |
---|
| 482 | ! Bottom growth rate = - F*dt / q |
---|
| 483 | dh_i_bott(ji) = - rdt_ice * ( fc_bo_i(ji) + fbif_1d(ji) & |
---|
| 484 | + qlbbq_1d(ji) ) / q_i_b(ji,nlay_i+1) |
---|
| 485 | ! New ice salinity ( Cox and Weeks, JGR, 1988 ) |
---|
| 486 | ! zswi2 (1) if dh_i_bott/rdt .GT. 3.6e-7 |
---|
| 487 | ! zswi12 (1) if dh_i_bott/rdt .LT. 3.6e-7 and .GT. 2.0e-8 |
---|
| 488 | ! zswi1 (1) if dh_i_bott/rdt .LT. 2.0e-8 |
---|
| 489 | zgrr = MIN( 1.0e-3, MAX ( dh_i_bott(ji) / rdt_ice , zeps ) ) |
---|
| 490 | zswi2 = MAX( zzero , SIGN( zone , zgrr - 3.6e-7 ) ) |
---|
| 491 | zswi12 = MAX( zzero , SIGN( zone , zgrr - 2.0e-8 ) ) * ( 1.0 - zswi2 ) |
---|
| 492 | zswi1 = 1. - zswi2 * zswi12 |
---|
| 493 | zfracs = zswi1 * 0.12 + & |
---|
| 494 | zswi12 * ( 0.8925 + 0.0568 * LOG( 100.0 * zgrr ) ) + & |
---|
| 495 | zswi2 * 0.26 / & |
---|
| 496 | ( 0.26 + 0.74 * EXP ( - 724300.0 * zgrr ) ) |
---|
[888] | 497 | zds = zfracs*sss_m(zji,zjj) - s_i_new(ji) |
---|
| 498 | s_i_new(ji) = zfracs * sss_m(zji,zjj) |
---|
[825] | 499 | ENDIF ! fc_bo_i |
---|
| 500 | END DO ! ji |
---|
| 501 | END DO ! iter |
---|
| 502 | |
---|
| 503 | ! Final values |
---|
| 504 | DO ji = kideb, kiut |
---|
| 505 | IF ( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) .LT. 0.0 ) THEN |
---|
| 506 | ! New ice salinity must not exceed 15 psu |
---|
| 507 | s_i_new(ji) = MIN( s_i_new(ji), s_i_max ) |
---|
| 508 | ! Metling point in K |
---|
| 509 | ztmelts = - tmut * s_i_new(ji) + rtt |
---|
| 510 | ! New ice heat content (Bitz and Lipscomb, 1999) |
---|
| 511 | q_i_b(ji,nlay_i+1) = rhoic * & |
---|
| 512 | ( cpic * ( ztmelts - t_bo_b(ji) ) & |
---|
| 513 | + lfus * ( 1.0 - ( ztmelts - rtt ) / & |
---|
| 514 | ( t_bo_b(ji) - rtt ) ) & |
---|
| 515 | - rcp * ( ztmelts-rtt ) ) |
---|
| 516 | ! Basal growth rate = - F*dt / q |
---|
| 517 | dh_i_bott(ji) = - rdt_ice*( fc_bo_i(ji) + fbif_1d(ji) + & |
---|
| 518 | qlbbq_1d(ji) ) / q_i_b(ji,nlay_i+1) |
---|
[834] | 519 | ! Salinity update |
---|
[825] | 520 | ! entrapment during bottom growth |
---|
| 521 | dsm_i_se_1d(ji) = ( s_i_new(ji)*dh_i_bott(ji) + & |
---|
| 522 | sm_i_b(ji)*ht_i_b(ji) ) / & |
---|
| 523 | MAX( ht_i_b(ji) + dh_i_bott(ji) ,zeps ) & |
---|
| 524 | - sm_i_b(ji) |
---|
| 525 | ENDIF ! heat budget |
---|
| 526 | END DO ! ji |
---|
| 527 | ENDIF ! num_sal |
---|
| 528 | |
---|
[834] | 529 | !---------------- |
---|
| 530 | ! 4.2 Basal melt |
---|
| 531 | !---------------- |
---|
[825] | 532 | meance_dh = 0.0 |
---|
| 533 | numce_dh = 0 |
---|
| 534 | innermelt(:) = 0 |
---|
| 535 | |
---|
| 536 | DO ji = kideb, kiut |
---|
| 537 | ! heat convergence at the surface > 0 |
---|
| 538 | IF ( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) .GE. 0.0 ) THEN |
---|
| 539 | |
---|
| 540 | s_i_new(ji) = s_i_b(ji,nlay_i) |
---|
| 541 | zqfont_bo(ji) = rdt_ice * ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) |
---|
| 542 | |
---|
| 543 | zfbase(ji) = zqfont_bo(ji) / rdt_ice ! heat conservation test |
---|
| 544 | zdq_i(ji) = 0.0 |
---|
| 545 | |
---|
| 546 | dh_i_bott(ji) = 0.0 |
---|
| 547 | ENDIF |
---|
| 548 | END DO |
---|
| 549 | |
---|
| 550 | DO jk = nlay_i, 1, -1 |
---|
| 551 | DO ji = kideb, kiut |
---|
| 552 | IF ( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) .GE. 0.0 ) THEN |
---|
| 553 | ztmelts = - tmut * s_i_b(ji,jk) + rtt |
---|
| 554 | IF ( t_i_b(ji,jk) .GE. ztmelts ) THEN |
---|
| 555 | zdeltah(ji,jk) = - zh_i(ji) |
---|
| 556 | dh_i_bott(ji) = dh_i_bott(ji) + zdeltah(ji,jk) |
---|
| 557 | innermelt(ji) = 1 |
---|
| 558 | ELSE ! normal ablation |
---|
| 559 | zdeltah(ji,jk) = - zqfont_bo(ji) / q_i_b(ji,jk) |
---|
| 560 | zqfont_bo(ji) = MAX( 0.0 , - zh_i(ji) - zdeltah(ji,jk) ) * & |
---|
| 561 | q_i_b(ji,jk) |
---|
| 562 | zdeltah(ji,jk) = MAX(zdeltah(ji,jk), - zh_i(ji) ) |
---|
| 563 | dh_i_bott(ji) = dh_i_bott(ji) + zdeltah(ji,jk) |
---|
| 564 | zdq_i(ji) = zdq_i(ji) + zdeltah(ji,jk) * & |
---|
| 565 | q_i_b(ji,jk) / rdt_ice |
---|
| 566 | ! contribution to salt flux |
---|
| 567 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
---|
| 568 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
---|
| 569 | zfsalt_melt(ji) = zfsalt_melt(ji) + & |
---|
[888] | 570 | ( sss_m(zji,zjj) - sm_i_b(ji) ) * & |
---|
[825] | 571 | a_i_b(ji) * & |
---|
| 572 | MIN( zdeltah(ji,jk) , 0.0 ) * rhoic / rdt_ice |
---|
| 573 | ENDIF |
---|
| 574 | ENDIF |
---|
| 575 | END DO ! ji |
---|
| 576 | END DO ! jk |
---|
| 577 | |
---|
[834] | 578 | !------------------- |
---|
| 579 | ! Conservation test |
---|
| 580 | !------------------- |
---|
[825] | 581 | IF ( con_i ) THEN |
---|
| 582 | DO ji = kideb, kiut |
---|
| 583 | IF ( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) .GE. 0.0 ) THEN |
---|
| 584 | IF ( ( zfbase(ji) + zdq_i(ji) ) .GE. 1.0e-3 ) THEN |
---|
| 585 | numce_dh = numce_dh + 1 |
---|
| 586 | meance_dh = meance_dh + zfbase(ji) + zdq_i(ji) |
---|
| 587 | ENDIF |
---|
[834] | 588 | IF ( zfbase(ji) + zdq_i(ji) .GE. 1.0e-3 ) THEN |
---|
[825] | 589 | WRITE(numout,*) ' ALERTE heat loss for basal melt ' |
---|
| 590 | WRITE(numout,*) ' zji, zjj, jl :', zji, zjj, jl |
---|
| 591 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
---|
| 592 | WRITE(numout,*) ' zfbase : ', zfbase(ji) |
---|
| 593 | WRITE(numout,*) ' zdq_i : ', zdq_i(ji) |
---|
| 594 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
---|
| 595 | WRITE(numout,*) ' fc_bo_i : ', fc_bo_i(ji) |
---|
| 596 | WRITE(numout,*) ' fbif_1d : ', fbif_1d(ji) |
---|
| 597 | WRITE(numout,*) ' qlbbq_1d: ', qlbbq_1d(ji) |
---|
| 598 | WRITE(numout,*) ' s_i_new : ', s_i_new(ji) |
---|
[888] | 599 | WRITE(numout,*) ' sss_m : ', sss_m(zji,zjj) |
---|
[825] | 600 | WRITE(numout,*) ' dh_i_bott : ', dh_i_bott(ji) |
---|
| 601 | WRITE(numout,*) ' innermelt : ', innermelt(ji) |
---|
| 602 | ENDIF |
---|
| 603 | ENDIF ! heat convergence at the surface |
---|
| 604 | END DO ! ji |
---|
| 605 | |
---|
| 606 | IF ( numce_dh .GT. 0 ) meance_dh = meance_dh / numce_dh |
---|
| 607 | WRITE(numout,*) ' Number of points where there is bas. me. error : ', numce_dh |
---|
| 608 | WRITE(numout,*) ' Mean basal melt error on error points : ', meance_dh |
---|
| 609 | WRITE(numout,*) ' Remaining bottom heat : ', zqfont_bo(jiindex_1d) |
---|
| 610 | |
---|
| 611 | ENDIF ! con_i |
---|
| 612 | |
---|
| 613 | ! |
---|
| 614 | !------------------------------------------------------------------------------! |
---|
| 615 | ! 5) Pathological cases ! |
---|
| 616 | !------------------------------------------------------------------------------! |
---|
| 617 | ! |
---|
[834] | 618 | !---------------------------------------------- |
---|
| 619 | ! 5.1 Excessive ablation in a 1-category model |
---|
| 620 | !---------------------------------------------- |
---|
[825] | 621 | |
---|
| 622 | DO ji = kideb, kiut |
---|
| 623 | ! in a 1-category sea ice model, bottom ablation must not exceed hmelt (-0.15) |
---|
| 624 | zdhbf = dh_i_bott(ji) |
---|
| 625 | IF (jpl.EQ.1) zdhbf = MAX( hmelt , dh_i_bott(ji) ) |
---|
| 626 | ! excessive energy is sent to lateral ablation |
---|
| 627 | fsup(ji) = rhoic*lfus * at_i_b(ji) / MAX( ( 1.0 - at_i_b(ji) ),epsi13) & |
---|
| 628 | * ( zdhbf - dh_i_bott(ji) ) / rdt_ice |
---|
| 629 | |
---|
| 630 | dh_i_bott(ji) = zdhbf |
---|
| 631 | !since ice volume is only used for outputs, we keep it global for all categories |
---|
| 632 | dvbbq_1d(ji) = a_i_b(ji)*dh_i_bott(ji) |
---|
| 633 | !new ice thickness |
---|
| 634 | zhgnew(ji) = ht_i_b(ji) + dh_i_surf(ji) + dh_i_bott(ji) |
---|
| 635 | |
---|
| 636 | ! diagnostic ( bottom ice growth ) |
---|
| 637 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
---|
| 638 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
---|
| 639 | diag_bot_gr(zji,zjj) = diag_bot_gr(zji,zjj) + MAX(dh_i_bott(ji),0.0)*a_i_b(ji) & |
---|
| 640 | / rdt_ice |
---|
| 641 | diag_sur_me(zji,zjj) = diag_sur_me(zji,zjj) + MIN(dh_i_surf(ji),0.0)*a_i_b(ji) & |
---|
| 642 | / rdt_ice |
---|
| 643 | diag_bot_me(zji,zjj) = diag_bot_me(zji,zjj) + MIN(dh_i_bott(ji),0.0)*a_i_b(ji) & |
---|
| 644 | / rdt_ice |
---|
| 645 | END DO |
---|
| 646 | |
---|
[834] | 647 | !----------------------------------- |
---|
| 648 | ! 5.2 More than available ice melts |
---|
| 649 | !----------------------------------- |
---|
[825] | 650 | ! then heat applied minus heat content at previous time step |
---|
| 651 | ! should equal heat remaining |
---|
| 652 | ! |
---|
| 653 | DO ji = kideb, kiut |
---|
| 654 | ! Adapt the remaining energy if too much ice melts |
---|
| 655 | !-------------------------------------------------- |
---|
| 656 | zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) !1 if ice |
---|
| 657 | ! 0 if no more ice |
---|
| 658 | zhgnew(ji) = zihgnew * zhgnew(ji) ! ice thickness is put to 0 |
---|
| 659 | ! remaining heat |
---|
[834] | 660 | zfdt_final(ji) = ( 1.0 - zihgnew ) * ( zqfont_su(ji) + zqfont_bo(ji) ) |
---|
[825] | 661 | |
---|
| 662 | ! If snow remains, energy is used to melt snow |
---|
| 663 | zhni = ht_s_b(ji) ! snow depth at previous time step |
---|
| 664 | zihg = MAX( zzero , SIGN ( zone , - ht_s_b(ji) ) ) ! 0 if snow |
---|
| 665 | |
---|
| 666 | ! energy of melting of remaining snow |
---|
| 667 | zqt_s(ji) = ( 1. - zihg) * zqt_s(ji) / MAX( zhni, zeps ) |
---|
| 668 | zdhnm = - ( 1. - zihg ) * ( 1. - zihgnew ) * ( zfdt_final(ji) / & |
---|
| 669 | MAX( zqt_s(ji) , zeps ) ) |
---|
| 670 | zhnfi = zhni + zdhnm |
---|
| 671 | zfdt_final(ji) = MAX ( zfdt_final(ji) + zqt_s(ji) * zdhnm , 0.0 ) |
---|
| 672 | ht_s_b(ji) = MAX( zzero , zhnfi ) |
---|
| 673 | zqt_s(ji) = zqt_s(ji) * ht_s_b(ji) |
---|
| 674 | |
---|
| 675 | ! Mass variations of ice and snow |
---|
| 676 | !--------------------------------- |
---|
| 677 | rdmicif_1d(ji) = rdmicif_1d(ji) + a_i_b(ji) * & |
---|
| 678 | (zhgnew(ji)-ht_i_b(ji))*rhoic ! good |
---|
| 679 | |
---|
| 680 | rdmsnif_1d(ji) = rdmsnif_1d(ji) + a_i_b(ji) * & |
---|
| 681 | (ht_s_b(ji)-zhni)*rhosn ! good too |
---|
| 682 | |
---|
| 683 | ! Remaining heat to the ocean |
---|
| 684 | !--------------------------------- |
---|
| 685 | ! focea is in W.m-2 * dt |
---|
| 686 | focea(ji) = - zfdt_final(ji) / rdt_ice |
---|
| 687 | |
---|
| 688 | END DO |
---|
| 689 | |
---|
| 690 | ftotal_fin (:) = zfdt_final(:) / rdt_ice |
---|
| 691 | |
---|
| 692 | !--------------------------- |
---|
| 693 | ! Salt flux and heat fluxes |
---|
| 694 | !--------------------------- |
---|
| 695 | DO ji = kideb, kiut |
---|
| 696 | zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) !1 if ice |
---|
| 697 | |
---|
| 698 | ! Salt flux |
---|
| 699 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
---|
| 700 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
---|
| 701 | IF ( num_sal .NE. 4 ) & |
---|
| 702 | fseqv_1d(ji) = fseqv_1d(ji) + zihgnew * zfsalt_melt(ji) + & |
---|
| 703 | (1.0 - zihgnew) * rdmicif_1d(ji) * & |
---|
[888] | 704 | ( sss_m(zji,zjj) - sm_i_b(ji) ) / rdt_ice |
---|
[825] | 705 | ! new lines |
---|
| 706 | IF ( num_sal .EQ. 4 ) & |
---|
| 707 | fseqv_1d(ji) = fseqv_1d(ji) + zihgnew * zfsalt_melt(ji) + & |
---|
| 708 | (1.0 - zihgnew) * rdmicif_1d(ji) * & |
---|
[888] | 709 | ( sss_m(zji,zjj) - bulk_sal ) / rdt_ice |
---|
[825] | 710 | ! Heat flux |
---|
| 711 | ! excessive bottom ablation energy (fsup) - 0 except if jpl = 1 |
---|
| 712 | ! excessive total ablation energy (focea) sent to the ocean |
---|
| 713 | qfvbq_1d(ji) = qfvbq_1d(ji) + & |
---|
| 714 | fsup(ji) + ( 1.0 - zihgnew ) * & |
---|
| 715 | focea(ji) * a_i_b(ji) * rdt_ice |
---|
| 716 | |
---|
| 717 | zihic = 1.0 - MAX( zzero , SIGN( zone , -ht_i_b(ji) ) ) |
---|
| 718 | ! equals 0 if ht_i = 0, 1 if ht_i gt 0 |
---|
| 719 | fscbq_1d(ji) = a_i_b(ji) * fstbif_1d(ji) |
---|
| 720 | qldif_1d(ji) = qldif_1d(ji) & |
---|
| 721 | + fsup(ji) + ( 1.0 - zihgnew ) * focea(ji) * a_i_b(ji) & |
---|
| 722 | * rdt_ice & |
---|
| 723 | + ( 1.0 - zihic ) * fscbq_1d(ji) * rdt_ice |
---|
| 724 | END DO ! ji |
---|
| 725 | |
---|
| 726 | !------------------------------------------- |
---|
| 727 | ! Correct temperature, energy and thickness |
---|
| 728 | !------------------------------------------- |
---|
| 729 | DO ji = kideb, kiut |
---|
| 730 | zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) |
---|
| 731 | t_su_b(ji) = zihgnew * t_su_b(ji) + ( 1.0 - zihgnew ) * rtt |
---|
| 732 | END DO ! ji |
---|
| 733 | |
---|
| 734 | DO jk = 1, nlay_i |
---|
| 735 | DO ji = kideb, kiut |
---|
| 736 | zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) |
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| 737 | t_i_b(ji,jk) = zihgnew * t_i_b(ji,jk) + ( 1.0 - zihgnew ) * rtt |
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| 738 | q_i_b(ji,jk) = zihgnew * q_i_b(ji,jk) |
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| 739 | END DO |
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| 740 | END DO ! ji |
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| 741 | |
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| 742 | DO ji = kideb, kiut |
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| 743 | ht_i_b(ji) = zhgnew(ji) |
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| 744 | END DO ! ji |
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| 745 | ! |
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| 746 | !------------------------------------------------------------------------------| |
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| 747 | ! 6) Snow-Ice formation | |
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| 748 | !------------------------------------------------------------------------------| |
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| 749 | ! |
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| 750 | ! When snow load excesses Archimede's limit, snow-ice interface goes down |
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| 751 | ! under sea-level, flooding of seawater transforms snow into ice |
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| 752 | ! dh_snowice is positive for the ice |
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| 753 | DO ji = kideb, kiut |
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| 754 | |
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| 755 | dh_snowice(ji) = MAX(zzero,(rhosn*ht_s_b(ji)+(rhoic-rau0) & |
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| 756 | * ht_i_b(ji))/(rhosn+rau0-rhoic)) |
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| 757 | zhgnew(ji) = MAX(zhgnew(ji),zhgnew(ji)+dh_snowice(ji)) |
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| 758 | zhnnew = MIN(ht_s_b(ji),ht_s_b(ji)-dh_snowice(ji)) |
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| 759 | |
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| 760 | ! Changes in ice volume and ice mass. |
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| 761 | dvnbq_1d(ji) = a_i_b(ji) * (zhgnew(ji)-ht_i_b(ji)) |
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| 762 | dmgwi_1d(ji) = dmgwi_1d(ji) + a_i_b(ji) & |
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| 763 | *(ht_s_b(ji)-zhnnew)*rhosn |
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| 764 | |
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| 765 | rdmicif_1d(ji) = rdmicif_1d(ji) + a_i_b(ji) & |
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| 766 | * ( zhgnew(ji) - ht_i_b(ji) )*rhoic |
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| 767 | rdmsnif_1d(ji) = rdmsnif_1d(ji) + a_i_b(ji) & |
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| 768 | * ( zhnnew - ht_s_b(ji) )*rhosn |
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| 769 | |
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| 770 | ! Equivalent salt flux (1) Snow-ice formation component |
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| 771 | ! ----------------------------------------------------- |
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| 772 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
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| 773 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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| 774 | |
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| 775 | zsm_snowice = ( rhoic - rhosn ) / rhoic * & |
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[888] | 776 | sss_m(zji,zjj) |
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[825] | 777 | |
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| 778 | IF ( num_sal .NE. 2 ) zsm_snowice = sm_i_b(ji) |
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| 779 | |
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| 780 | IF ( num_sal .NE. 4 ) & |
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| 781 | fseqv_1d(ji) = fseqv_1d(ji) + & |
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[888] | 782 | ( sss_m(zji,zjj) - zsm_snowice ) * & |
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[825] | 783 | a_i_b(ji) * & |
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| 784 | ( zhgnew(ji) - ht_i_b(ji) ) * rhoic / rdt_ice |
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| 785 | ! new lines |
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| 786 | IF ( num_sal .EQ. 4 ) & |
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| 787 | fseqv_1d(ji) = fseqv_1d(ji) + & |
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[888] | 788 | ( sss_m(zji,zjj) - bulk_sal ) * & |
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[825] | 789 | a_i_b(ji) * & |
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| 790 | ( zhgnew(ji) - ht_i_b(ji) ) * rhoic / rdt_ice |
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| 791 | |
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| 792 | ! entrapment during snow ice formation |
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[842] | 793 | i_ice_switch = 1.0 - MAX ( 0.0 , SIGN ( 1.0 , - ht_i_b(ji) + 1.0e-6 ) ) |
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[825] | 794 | isnowic = 1.0 - MAX ( 0.0 , SIGN ( 1.0 , - dh_snowice(ji) ) ) * & |
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| 795 | i_ice_switch |
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| 796 | IF ( ( num_sal .EQ. 2 ) .OR. ( num_sal .EQ. 4 ) ) & |
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| 797 | dsm_i_si_1d(ji) = ( zsm_snowice*dh_snowice(ji) & |
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| 798 | + sm_i_b(ji) * ht_i_b(ji) & |
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| 799 | / MAX( ht_i_b(ji) + dh_snowice(ji), zeps) & |
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| 800 | - sm_i_b(ji) ) * isnowic |
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| 801 | |
---|
| 802 | ! Actualize new snow and ice thickness. |
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| 803 | ht_s_b(ji) = zhnnew |
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| 804 | ht_i_b(ji) = zhgnew(ji) |
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| 805 | |
---|
| 806 | ! Total ablation ! new lines added to debug |
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| 807 | IF( ht_i_b(ji).LE.0.0 ) a_i_b(ji) = 0.0 |
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| 808 | |
---|
| 809 | ! diagnostic ( snow ice growth ) |
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| 810 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
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| 811 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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| 812 | diag_sni_gr(zji,zjj) = diag_sni_gr(zji,zjj) + dh_snowice(ji)*a_i_b(ji) / & |
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| 813 | rdt_ice |
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| 814 | |
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| 815 | END DO !ji |
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| 816 | |
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| 817 | END SUBROUTINE lim_thd_dh |
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| 818 | #else |
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| 819 | !!====================================================================== |
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| 820 | !! *** MODULE limthd_dh *** |
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| 821 | !! no sea ice model |
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| 822 | !!====================================================================== |
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| 823 | CONTAINS |
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| 824 | SUBROUTINE lim_thd_dh ! Empty routine |
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| 825 | END SUBROUTINE lim_thd_dh |
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| 826 | #endif |
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| 827 | END MODULE limthd_dh |
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