[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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[921] | 26 | |
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[825] | 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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[921] | 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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| 76 | !! Vancoppenolle, Fichefet and Bitz, GRL 2005 |
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| 77 | !! Vancoppenolle et al., OM08 |
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| 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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| 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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| 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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[825] | 92 | |
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[921] | 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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[825] | 103 | |
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[921] | 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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[825] | 130 | |
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[921] | 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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[825] | 139 | |
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[921] | 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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[825] | 143 | |
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[921] | 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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[825] | 149 | |
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[921] | 150 | REAL(wp) , DIMENSION(jpij,jkmax) :: & |
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| 151 | zdeltah |
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[825] | 152 | |
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[921] | 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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[825] | 160 | |
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[921] | 161 | REAL(wp), DIMENSION(jpij,jkmax) :: & |
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| 162 | zqt_i_lay !: total ice heat content |
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[825] | 163 | |
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[921] | 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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[825] | 168 | |
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[921] | 169 | INTEGER, DIMENSION(jpij) :: & |
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| 170 | innermelt |
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[825] | 171 | |
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[921] | 172 | REAL(wp) :: & |
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| 173 | meance_dh |
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[825] | 174 | |
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[921] | 175 | INTEGER :: & |
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| 176 | num_iter_max, & |
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| 177 | numce_dh |
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[825] | 178 | |
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| 179 | zfsalt_melt(:) = 0.0 |
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| 180 | ftotal_fin(:) = 0.0 |
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| 181 | zfdt_init(:) = 0.0 |
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| 182 | zfdt_final(:) = 0.0 |
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| 183 | |
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| 184 | DO ji = kideb, kiut |
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| 185 | old_ht_i_b(ji) = ht_i_b(ji) |
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| 186 | old_ht_s_b(ji) = ht_s_b(ji) |
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| 187 | END DO |
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[921] | 188 | ! |
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| 189 | !------------------------------------------------------------------------------! |
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| 190 | ! 1) Calculate available heat for surface ablation ! |
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| 191 | !------------------------------------------------------------------------------! |
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| 192 | ! |
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[825] | 193 | DO ji = kideb,kiut |
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| 194 | isnow = INT( 1.0 - MAX ( 0.0 , SIGN ( 1.0 , - ht_s_b(ji) ) ) ) |
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| 195 | ztfs(ji) = isnow * rtt + ( 1.0 - isnow ) * rtt |
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| 196 | z_f_surf(ji) = qnsr_ice_1d(ji) + ( 1.0 - i0(ji) ) * & |
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[921] | 197 | qsr_ice_1d(ji) - fc_su(ji) |
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[825] | 198 | z_f_surf(ji) = MAX( zzero , z_f_surf(ji) ) * & |
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[921] | 199 | MAX( zzero , SIGN( zone , t_su_b(ji) - ztfs(ji) ) ) |
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[825] | 200 | zfdt_init(ji) = ( z_f_surf(ji) + & |
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[921] | 201 | MAX( fbif_1d(ji) + qlbbq_1d(ji) + fc_bo_i(ji),0.0 ) ) & |
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| 202 | * rdt_ice |
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[825] | 203 | END DO ! ji |
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| 204 | |
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| 205 | zqfont_su(:) = 0.0 |
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| 206 | zqfont_bo(:) = 0.0 |
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| 207 | dsm_i_se_1d(:) = 0.0 |
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| 208 | dsm_i_si_1d(:) = 0.0 |
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[921] | 209 | ! |
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| 210 | !------------------------------------------------------------------------------! |
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| 211 | ! 2) Computing layer thicknesses and snow and sea-ice enthalpies. ! |
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| 212 | !------------------------------------------------------------------------------! |
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| 213 | ! |
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[825] | 214 | ! Layer thickness |
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| 215 | DO ji = kideb,kiut |
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| 216 | zh_i(ji) = ht_i_b(ji) / nlay_i |
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| 217 | zh_s(ji) = ht_s_b(ji) / nlay_s |
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| 218 | END DO |
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| 219 | |
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[834] | 220 | ! Total enthalpy of the snow |
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[825] | 221 | zqt_s(:) = 0.0 |
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| 222 | DO jk = 1, nlay_s |
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| 223 | DO ji = kideb,kiut |
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| 224 | zqt_s(ji) = zqt_s(ji) + q_s_b(ji,jk) * ht_s_b(ji) / nlay_s |
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| 225 | END DO |
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| 226 | END DO |
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| 227 | |
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[834] | 228 | ! Total enthalpy of the ice |
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[825] | 229 | zqt_i(:) = 0.0 |
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| 230 | DO jk = 1, nlay_i |
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| 231 | DO ji = kideb,kiut |
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| 232 | zqt_i(ji) = zqt_i(ji) + q_i_b(ji,jk) * ht_i_b(ji) / nlay_i |
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| 233 | zqt_i_lay(ji,jk) = q_i_b(ji,jk) * ht_i_b(ji) / nlay_i |
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| 234 | END DO |
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| 235 | END DO |
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[921] | 236 | ! |
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| 237 | !------------------------------------------------------------------------------| |
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| 238 | ! 3) Surface ablation and sublimation | |
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| 239 | !------------------------------------------------------------------------------| |
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| 240 | ! |
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[834] | 241 | !------------------------- |
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| 242 | ! 3.1 Snow precips / melt |
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| 243 | !------------------------- |
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[825] | 244 | ! Snow accumulation in one thermodynamic time step |
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| 245 | ! snowfall is partitionned between leads and ice |
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| 246 | ! if snow fall was uniform, a fraction (1-at_i) would fall into leads |
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| 247 | ! but because of the winds, more snow falls on leads than on sea ice |
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| 248 | ! and a greater fraction (1-at_i)^beta of the total mass of snow |
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[834] | 249 | ! (beta < 1) falls in leads. |
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[825] | 250 | ! In reality, beta depends on wind speed, |
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| 251 | ! and should decrease with increasing wind speed but here, it is |
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[834] | 252 | ! considered as a constant. an average value is 0.66 |
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[825] | 253 | ! Martin Vancoppenolle, December 2006 |
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| 254 | |
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| 255 | ! Snow fall |
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| 256 | DO ji = kideb, kiut |
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| 257 | zcoeff = ( 1.0 - ( 1.0 - at_i_b(ji) )**betas ) / at_i_b(ji) |
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| 258 | zdh_s_pre(ji) = zcoeff * sprecip_1d(ji) * rdt_ice / rhosn |
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| 259 | END DO |
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| 260 | zdh_s_mel(:) = 0.0 |
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| 261 | |
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| 262 | ! Melt of fallen snow |
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| 263 | DO ji = kideb, kiut |
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| 264 | ! tatm_ice is now in K |
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| 265 | zqprec(ji) = rhosn * ( cpic * ( rtt - tatm_ice_1d(ji) ) + lfus ) |
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| 266 | zqfont_su(ji) = z_f_surf(ji) * rdt_ice |
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| 267 | zdeltah(ji,1) = MIN( 0.0 , - zqfont_su(ji) / MAX( zqprec(ji) , epsi13 ) ) |
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| 268 | zqfont_su(ji) = MAX( 0.0 , - zdh_s_pre(ji) - zdeltah(ji,1) ) * & |
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[921] | 269 | zqprec(ji) |
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[825] | 270 | zdeltah(ji,1) = MAX( - zdh_s_pre(ji) , zdeltah(ji,1) ) |
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| 271 | zdh_s_mel(ji) = zdh_s_mel(ji) + zdeltah(ji,1) |
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| 272 | ! heat conservation |
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| 273 | qt_s_in(ji,jl) = qt_s_in(ji,jl) + zqprec(ji) * zdh_s_pre(ji) |
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| 274 | zqt_s(ji) = zqt_s(ji) + zqprec(ji) * zdh_s_pre(ji) |
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| 275 | END DO |
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| 276 | |
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[834] | 277 | ! Update total snow heat content |
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[825] | 278 | zqt_s(ji) = MAX ( zqt_s(ji) - zqfont_su(ji) , 0.0 ) |
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[869] | 279 | IF( lk_mpp ) CALL mpp_max(zqt_s(ji), kcom = ncomm_ice ) |
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[825] | 280 | |
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| 281 | ! Snow melt due to surface heat imbalance |
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| 282 | DO jk = 1, nlay_s |
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| 283 | DO ji = kideb, kiut |
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| 284 | zdeltah(ji,jk) = - zqfont_su(ji) / q_s_b(ji,jk) |
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| 285 | zqfont_su(ji) = MAX( 0.0 , - zh_s(ji) - zdeltah(ji,jk) ) * & |
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[921] | 286 | q_s_b(ji,jk) |
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[825] | 287 | zdeltah(ji,jk) = MAX( zdeltah(ji,jk) , - zh_s(ji) ) |
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| 288 | zdh_s_mel(ji) = zdh_s_mel(ji) + zdeltah(ji,jk) !resulting melt of snow |
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| 289 | END DO |
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| 290 | END DO |
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| 291 | |
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| 292 | ! Apply snow melt to snow depth |
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| 293 | DO ji = kideb, kiut |
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| 294 | dh_s_tot(ji) = zdh_s_mel(ji) + zdh_s_pre(ji) |
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| 295 | ! Old and new snow depths |
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| 296 | zhsold(ji) = ht_s_b(ji) |
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| 297 | zhsnew = ht_s_b(ji) + dh_s_tot(ji) |
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| 298 | ! If snow is still present zhn = 1, else zhn = 0 |
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| 299 | zhn = 1.0 - MAX( zzero , SIGN( zone , - zhsnew ) ) |
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| 300 | ht_s_b(ji) = MAX( zzero , zhsnew ) |
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| 301 | ! Volume and mass variations of snow |
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| 302 | dvsbq_1d(ji) = a_i_b(ji) * ( ht_s_b(ji) - zhsold(ji) & |
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[921] | 303 | - zdh_s_mel(ji) ) |
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[825] | 304 | dvsbq_1d(ji) = MIN( zzero, dvsbq_1d(ji) ) |
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| 305 | rdmsnif_1d(ji) = rhosn*dvsbq_1d(ji) |
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| 306 | END DO ! ji |
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| 307 | |
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[834] | 308 | !-------------------------- |
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| 309 | ! 3.2 Surface ice ablation |
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| 310 | !-------------------------- |
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[825] | 311 | DO ji = kideb, kiut |
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| 312 | dh_i_surf(ji) = 0.0 |
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[834] | 313 | ! For heat conservation test |
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[825] | 314 | z_f_surf(ji) = zqfont_su(ji) / rdt_ice ! heat conservation test |
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| 315 | zdq_i(ji) = 0.0 |
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| 316 | END DO ! ji |
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| 317 | |
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| 318 | DO jk = 1, nlay_i |
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| 319 | DO ji = kideb, kiut |
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[834] | 320 | ! melt of layer jk |
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[825] | 321 | zdeltah(ji,jk) = - zqfont_su(ji) / q_i_b(ji,jk) |
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[834] | 322 | ! recompute heat available |
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[825] | 323 | zqfont_su(ji) = MAX( 0.0 , - zh_i(ji) - zdeltah(ji,jk) ) * & |
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[921] | 324 | q_i_b(ji,jk) |
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[834] | 325 | ! melt of layer jk cannot be higher than its thickness |
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[825] | 326 | zdeltah(ji,jk) = MAX( zdeltah(ji,jk) , - zh_i(ji) ) |
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[834] | 327 | ! update surface melt |
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[825] | 328 | dh_i_surf(ji) = dh_i_surf(ji) + zdeltah(ji,jk) |
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[834] | 329 | ! for energy conservation |
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[825] | 330 | zdq_i(ji) = zdq_i(ji) + zdeltah(ji,jk) * & |
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[921] | 331 | q_i_b(ji,jk) / rdt_ice |
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[834] | 332 | ! contribution to ice-ocean salt flux |
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[825] | 333 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
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| 334 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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| 335 | zfsalt_melt(ji) = zfsalt_melt(ji) + & |
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[921] | 336 | ( sss_m(zji,zjj) - sm_i_b(ji) ) * & |
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| 337 | a_i_b(ji) * & |
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| 338 | MIN( zdeltah(ji,jk) , 0.0 ) * rhoic / rdt_ice |
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[825] | 339 | END DO ! ji |
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| 340 | END DO ! jk |
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| 341 | |
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| 342 | !------------------- |
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| 343 | ! Conservation test |
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| 344 | !------------------- |
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| 345 | IF ( con_i ) THEN |
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[921] | 346 | numce_dh = 0 |
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| 347 | meance_dh = 0.0 |
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| 348 | DO ji = kideb, kiut |
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[825] | 349 | |
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[921] | 350 | IF ( ( z_f_surf(ji) + zdq_i(ji) ) .GE. 1.0e-3 ) THEN |
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| 351 | numce_dh = numce_dh + 1 |
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| 352 | meance_dh = meance_dh + z_f_surf(ji) + zdq_i(ji) |
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| 353 | ENDIF |
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[825] | 354 | |
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[921] | 355 | IF ( z_f_surf(ji) + zdq_i(ji) .GE. 1.0e-3 ) THEN! |
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| 356 | WRITE(numout,*) ' ALERTE heat loss for surface melt ' |
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| 357 | WRITE(numout,*) ' zji, zjj, jl :', zji, zjj, jl |
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| 358 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
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| 359 | WRITE(numout,*) ' z_f_surf : ', z_f_surf(ji) |
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| 360 | WRITE(numout,*) ' zdq_i : ', zdq_i(ji) |
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| 361 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
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| 362 | WRITE(numout,*) ' fc_bo_i : ', fc_bo_i(ji) |
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| 363 | WRITE(numout,*) ' fbif_1d : ', fbif_1d(ji) |
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| 364 | WRITE(numout,*) ' qlbbq_1d: ', qlbbq_1d(ji) |
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| 365 | WRITE(numout,*) ' s_i_new : ', s_i_new(ji) |
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| 366 | WRITE(numout,*) ' sss_m : ', sss_m(zji,zjj) |
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| 367 | ENDIF |
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[825] | 368 | |
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[921] | 369 | END DO ! ji |
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[825] | 370 | |
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[921] | 371 | IF ( numce_dh .GT. 0 ) meance_dh = meance_dh / numce_dh |
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| 372 | WRITE(numout,*) ' Error report - Category : ', jl |
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| 373 | WRITE(numout,*) ' ~~~~~~~~~~~~ ' |
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| 374 | WRITE(numout,*) ' Number of points where there is sur. me. error : ', numce_dh |
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| 375 | WRITE(numout,*) ' Mean basal growth error on error points : ', meance_dh |
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[825] | 376 | |
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| 377 | ENDIF ! con_i |
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| 378 | |
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[834] | 379 | !---------------------- |
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| 380 | ! 3.3 Snow sublimation |
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| 381 | !---------------------- |
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[825] | 382 | |
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| 383 | DO ji = kideb, kiut |
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| 384 | ! if qla is positive (upwards), heat goes to the atmosphere, therefore |
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| 385 | ! snow sublimates, if qla is negative (downwards), snow condensates |
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| 386 | zdh_s_sub(ji) = - parsub * qla_ice_1d(ji) / ( rhosn * lsub ) * rdt_ice |
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| 387 | dh_s_tot(ji) = dh_s_tot(ji) + zdh_s_sub(ji) |
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| 388 | zdhcf = ht_s_b(ji) + zdh_s_sub(ji) |
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| 389 | ht_s_b(ji) = MAX( zzero , zdhcf ) |
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| 390 | ! we recompute dh_s_tot |
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| 391 | dh_s_tot(ji) = ht_s_b(ji) - zhsold(ji) |
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| 392 | qt_s_in(ji,jl) = qt_s_in(ji,jl) + zdh_s_sub(ji)*q_s_b(ji,1) |
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| 393 | END DO !ji |
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| 394 | |
---|
| 395 | zqt_dummy(:) = 0.0 |
---|
| 396 | DO jk = 1, nlay_s |
---|
| 397 | DO ji = kideb,kiut |
---|
| 398 | q_s_b(ji,jk) = rhosn * ( cpic * ( rtt - t_s_b(ji,jk) ) + lfus ) |
---|
| 399 | ! heat conservation |
---|
| 400 | zqt_dummy(ji) = zqt_dummy(ji) + q_s_b(ji,jk) * ht_s_b(ji) / nlay_s |
---|
| 401 | END DO |
---|
| 402 | END DO |
---|
| 403 | |
---|
| 404 | DO jk = 1, nlay_s !n |
---|
| 405 | DO ji = kideb, kiut !n |
---|
[921] | 406 | ! In case of disparition of the snow, we have to update the snow |
---|
| 407 | ! temperatures |
---|
[825] | 408 | zhisn = MAX( zzero , SIGN( zone, - ht_s_b(ji) ) ) |
---|
| 409 | t_s_b(ji,jk) = ( 1.0 - zhisn ) * t_s_b(ji,jk) + zhisn * rtt |
---|
| 410 | q_s_b(ji,jk) = ( 1.0 - zhisn ) * q_s_b(ji,jk) |
---|
| 411 | END DO |
---|
[921] | 412 | END DO |
---|
[825] | 413 | |
---|
[921] | 414 | ! |
---|
| 415 | !------------------------------------------------------------------------------! |
---|
| 416 | ! 4) Basal growth / melt ! |
---|
| 417 | !------------------------------------------------------------------------------! |
---|
| 418 | ! |
---|
[825] | 419 | ! Ice basal growth / melt is given by the ratio of heat budget over basal |
---|
| 420 | ! ice heat content. Basal heat budget is given by the difference between |
---|
| 421 | ! the inner conductive flux (fc_bo_i), from the open water heat flux |
---|
| 422 | ! (qlbbqb) and the turbulent ocean flux (fbif). |
---|
[834] | 423 | ! fc_bo_i is positive downwards. fbif and qlbbq are positive to the ice |
---|
[825] | 424 | |
---|
[834] | 425 | !----------------------------------------------------- |
---|
| 426 | ! 4.1 Basal growth - (a) salinity not varying in time |
---|
| 427 | !----------------------------------------------------- |
---|
| 428 | IF ( ( num_sal .NE. 2 ) .AND. ( num_sal .NE. 4 ) ) THEN |
---|
[825] | 429 | DO ji = kideb, kiut |
---|
| 430 | IF ( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) .LT. 0.0 ) THEN |
---|
| 431 | s_i_new(ji) = sm_i_b(ji) |
---|
| 432 | ! Melting point in K |
---|
| 433 | ztmelts = - tmut * s_i_new(ji) + rtt |
---|
| 434 | ! New ice heat content (Bitz and Lipscomb, 1999) |
---|
| 435 | ztform = t_i_b(ji,nlay_i) ! t_bo_b crashes in the |
---|
[921] | 436 | ! Baltic |
---|
[825] | 437 | q_i_b(ji,nlay_i+1) = rhoic * & |
---|
[921] | 438 | ( cpic * ( ztmelts - ztform ) & |
---|
| 439 | + lfus * ( 1.0 - ( ztmelts - rtt ) / & |
---|
| 440 | ( ztform - rtt ) ) & |
---|
| 441 | - rcp * ( ztmelts-rtt ) ) |
---|
[825] | 442 | ! Basal growth rate = - F*dt / q |
---|
| 443 | dh_i_bott(ji) = - rdt_ice*( fc_bo_i(ji) + fbif_1d(ji) + & |
---|
[921] | 444 | qlbbq_1d(ji) ) / q_i_b(ji,nlay_i+1) |
---|
[825] | 445 | ENDIF ! heat budget |
---|
| 446 | END DO ! ji |
---|
| 447 | ENDIF ! num_sal |
---|
| 448 | |
---|
[834] | 449 | !------------------------------------------------- |
---|
| 450 | ! 4.1 Basal growth - (b) salinity varying in time |
---|
| 451 | !------------------------------------------------- |
---|
[825] | 452 | IF ( ( num_sal .EQ. 2 ) .OR. ( num_sal .EQ. 4 ) ) THEN |
---|
| 453 | ! the growth rate (dh_i_bott) is function of the new ice |
---|
| 454 | ! heat content (q_i_b(nlay_i+1)). q_i_b depends on the new ice |
---|
| 455 | ! salinity (snewice). snewice depends on dh_i_bott |
---|
| 456 | ! it converges quickly, so, no problem |
---|
[834] | 457 | ! See Vancoppenolle et al., OM08 for more info on this |
---|
[825] | 458 | |
---|
| 459 | ! Initial value (tested 1D, can be anything between 1 and 20) |
---|
| 460 | num_iter_max = 4 |
---|
| 461 | s_i_new(:) = 4.0 |
---|
| 462 | |
---|
| 463 | ! Iterative procedure |
---|
| 464 | DO iter = 1, num_iter_max |
---|
| 465 | DO ji = kideb, kiut |
---|
| 466 | IF ( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) .LT. 0.0 ) THEN |
---|
| 467 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
---|
| 468 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
---|
| 469 | ! Melting point in K |
---|
| 470 | ztmelts = - tmut * s_i_new(ji) + rtt |
---|
| 471 | ! New ice heat content (Bitz and Lipscomb, 1999) |
---|
| 472 | q_i_b(ji,nlay_i+1) = rhoic * & |
---|
[921] | 473 | ( cpic * ( ztmelts - t_bo_b(ji) ) & |
---|
| 474 | + lfus * ( 1.0 - ( ztmelts - rtt ) / & |
---|
| 475 | ( t_bo_b(ji) - rtt ) ) & |
---|
| 476 | - rcp * ( ztmelts-rtt ) ) |
---|
[825] | 477 | ! Bottom growth rate = - F*dt / q |
---|
| 478 | dh_i_bott(ji) = - rdt_ice * ( fc_bo_i(ji) + fbif_1d(ji) & |
---|
[921] | 479 | + qlbbq_1d(ji) ) / q_i_b(ji,nlay_i+1) |
---|
[825] | 480 | ! New ice salinity ( Cox and Weeks, JGR, 1988 ) |
---|
| 481 | ! zswi2 (1) if dh_i_bott/rdt .GT. 3.6e-7 |
---|
| 482 | ! zswi12 (1) if dh_i_bott/rdt .LT. 3.6e-7 and .GT. 2.0e-8 |
---|
| 483 | ! zswi1 (1) if dh_i_bott/rdt .LT. 2.0e-8 |
---|
| 484 | zgrr = MIN( 1.0e-3, MAX ( dh_i_bott(ji) / rdt_ice , zeps ) ) |
---|
| 485 | zswi2 = MAX( zzero , SIGN( zone , zgrr - 3.6e-7 ) ) |
---|
| 486 | zswi12 = MAX( zzero , SIGN( zone , zgrr - 2.0e-8 ) ) * ( 1.0 - zswi2 ) |
---|
| 487 | zswi1 = 1. - zswi2 * zswi12 |
---|
| 488 | zfracs = zswi1 * 0.12 + & |
---|
[921] | 489 | zswi12 * ( 0.8925 + 0.0568 * LOG( 100.0 * zgrr ) ) + & |
---|
| 490 | zswi2 * 0.26 / & |
---|
| 491 | ( 0.26 + 0.74 * EXP ( - 724300.0 * zgrr ) ) |
---|
[888] | 492 | zds = zfracs*sss_m(zji,zjj) - s_i_new(ji) |
---|
| 493 | s_i_new(ji) = zfracs * sss_m(zji,zjj) |
---|
[825] | 494 | ENDIF ! fc_bo_i |
---|
| 495 | END DO ! ji |
---|
| 496 | END DO ! iter |
---|
| 497 | |
---|
| 498 | ! Final values |
---|
| 499 | DO ji = kideb, kiut |
---|
| 500 | IF ( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) .LT. 0.0 ) THEN |
---|
| 501 | ! New ice salinity must not exceed 15 psu |
---|
| 502 | s_i_new(ji) = MIN( s_i_new(ji), s_i_max ) |
---|
| 503 | ! Metling point in K |
---|
| 504 | ztmelts = - tmut * s_i_new(ji) + rtt |
---|
| 505 | ! New ice heat content (Bitz and Lipscomb, 1999) |
---|
| 506 | q_i_b(ji,nlay_i+1) = rhoic * & |
---|
[921] | 507 | ( cpic * ( ztmelts - t_bo_b(ji) ) & |
---|
| 508 | + lfus * ( 1.0 - ( ztmelts - rtt ) / & |
---|
| 509 | ( t_bo_b(ji) - rtt ) ) & |
---|
| 510 | - rcp * ( ztmelts-rtt ) ) |
---|
[825] | 511 | ! Basal growth rate = - F*dt / q |
---|
| 512 | dh_i_bott(ji) = - rdt_ice*( fc_bo_i(ji) + fbif_1d(ji) + & |
---|
[921] | 513 | qlbbq_1d(ji) ) / q_i_b(ji,nlay_i+1) |
---|
[834] | 514 | ! Salinity update |
---|
[825] | 515 | ! entrapment during bottom growth |
---|
| 516 | dsm_i_se_1d(ji) = ( s_i_new(ji)*dh_i_bott(ji) + & |
---|
[921] | 517 | sm_i_b(ji)*ht_i_b(ji) ) / & |
---|
| 518 | MAX( ht_i_b(ji) + dh_i_bott(ji) ,zeps ) & |
---|
| 519 | - sm_i_b(ji) |
---|
[825] | 520 | ENDIF ! heat budget |
---|
| 521 | END DO ! ji |
---|
| 522 | ENDIF ! num_sal |
---|
| 523 | |
---|
[834] | 524 | !---------------- |
---|
| 525 | ! 4.2 Basal melt |
---|
| 526 | !---------------- |
---|
[825] | 527 | meance_dh = 0.0 |
---|
| 528 | numce_dh = 0 |
---|
| 529 | innermelt(:) = 0 |
---|
| 530 | |
---|
| 531 | DO ji = kideb, kiut |
---|
| 532 | ! heat convergence at the surface > 0 |
---|
| 533 | IF ( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) .GE. 0.0 ) THEN |
---|
[921] | 534 | |
---|
[825] | 535 | s_i_new(ji) = s_i_b(ji,nlay_i) |
---|
| 536 | zqfont_bo(ji) = rdt_ice * ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) |
---|
| 537 | |
---|
| 538 | zfbase(ji) = zqfont_bo(ji) / rdt_ice ! heat conservation test |
---|
| 539 | zdq_i(ji) = 0.0 |
---|
| 540 | |
---|
| 541 | dh_i_bott(ji) = 0.0 |
---|
| 542 | ENDIF |
---|
| 543 | END DO |
---|
| 544 | |
---|
| 545 | DO jk = nlay_i, 1, -1 |
---|
| 546 | DO ji = kideb, kiut |
---|
| 547 | IF ( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) .GE. 0.0 ) THEN |
---|
| 548 | ztmelts = - tmut * s_i_b(ji,jk) + rtt |
---|
| 549 | IF ( t_i_b(ji,jk) .GE. ztmelts ) THEN |
---|
| 550 | zdeltah(ji,jk) = - zh_i(ji) |
---|
| 551 | dh_i_bott(ji) = dh_i_bott(ji) + zdeltah(ji,jk) |
---|
| 552 | innermelt(ji) = 1 |
---|
| 553 | ELSE ! normal ablation |
---|
| 554 | zdeltah(ji,jk) = - zqfont_bo(ji) / q_i_b(ji,jk) |
---|
| 555 | zqfont_bo(ji) = MAX( 0.0 , - zh_i(ji) - zdeltah(ji,jk) ) * & |
---|
[921] | 556 | q_i_b(ji,jk) |
---|
[825] | 557 | zdeltah(ji,jk) = MAX(zdeltah(ji,jk), - zh_i(ji) ) |
---|
| 558 | dh_i_bott(ji) = dh_i_bott(ji) + zdeltah(ji,jk) |
---|
| 559 | zdq_i(ji) = zdq_i(ji) + zdeltah(ji,jk) * & |
---|
[921] | 560 | q_i_b(ji,jk) / rdt_ice |
---|
| 561 | ! contribution to salt flux |
---|
[825] | 562 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
---|
| 563 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
---|
| 564 | zfsalt_melt(ji) = zfsalt_melt(ji) + & |
---|
[921] | 565 | ( sss_m(zji,zjj) - sm_i_b(ji) ) * & |
---|
| 566 | a_i_b(ji) * & |
---|
| 567 | MIN( zdeltah(ji,jk) , 0.0 ) * rhoic / rdt_ice |
---|
[825] | 568 | ENDIF |
---|
| 569 | ENDIF |
---|
| 570 | END DO ! ji |
---|
| 571 | END DO ! jk |
---|
| 572 | |
---|
[834] | 573 | !------------------- |
---|
| 574 | ! Conservation test |
---|
| 575 | !------------------- |
---|
[825] | 576 | IF ( con_i ) THEN |
---|
[921] | 577 | DO ji = kideb, kiut |
---|
| 578 | IF ( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) .GE. 0.0 ) THEN |
---|
| 579 | IF ( ( zfbase(ji) + zdq_i(ji) ) .GE. 1.0e-3 ) THEN |
---|
| 580 | numce_dh = numce_dh + 1 |
---|
| 581 | meance_dh = meance_dh + zfbase(ji) + zdq_i(ji) |
---|
| 582 | ENDIF |
---|
| 583 | IF ( zfbase(ji) + zdq_i(ji) .GE. 1.0e-3 ) THEN |
---|
| 584 | WRITE(numout,*) ' ALERTE heat loss for basal melt ' |
---|
| 585 | WRITE(numout,*) ' zji, zjj, jl :', zji, zjj, jl |
---|
| 586 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
---|
| 587 | WRITE(numout,*) ' zfbase : ', zfbase(ji) |
---|
| 588 | WRITE(numout,*) ' zdq_i : ', zdq_i(ji) |
---|
| 589 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
---|
| 590 | WRITE(numout,*) ' fc_bo_i : ', fc_bo_i(ji) |
---|
| 591 | WRITE(numout,*) ' fbif_1d : ', fbif_1d(ji) |
---|
| 592 | WRITE(numout,*) ' qlbbq_1d: ', qlbbq_1d(ji) |
---|
| 593 | WRITE(numout,*) ' s_i_new : ', s_i_new(ji) |
---|
| 594 | WRITE(numout,*) ' sss_m : ', sss_m(zji,zjj) |
---|
| 595 | WRITE(numout,*) ' dh_i_bott : ', dh_i_bott(ji) |
---|
| 596 | WRITE(numout,*) ' innermelt : ', innermelt(ji) |
---|
| 597 | ENDIF |
---|
| 598 | ENDIF ! heat convergence at the surface |
---|
| 599 | END DO ! ji |
---|
[825] | 600 | |
---|
[921] | 601 | IF ( numce_dh .GT. 0 ) meance_dh = meance_dh / numce_dh |
---|
| 602 | WRITE(numout,*) ' Number of points where there is bas. me. error : ', numce_dh |
---|
| 603 | WRITE(numout,*) ' Mean basal melt error on error points : ', meance_dh |
---|
| 604 | WRITE(numout,*) ' Remaining bottom heat : ', zqfont_bo(jiindex_1d) |
---|
[825] | 605 | |
---|
| 606 | ENDIF ! con_i |
---|
| 607 | |
---|
[921] | 608 | ! |
---|
| 609 | !------------------------------------------------------------------------------! |
---|
| 610 | ! 5) Pathological cases ! |
---|
| 611 | !------------------------------------------------------------------------------! |
---|
| 612 | ! |
---|
[834] | 613 | !---------------------------------------------- |
---|
| 614 | ! 5.1 Excessive ablation in a 1-category model |
---|
| 615 | !---------------------------------------------- |
---|
[825] | 616 | |
---|
| 617 | DO ji = kideb, kiut |
---|
| 618 | ! in a 1-category sea ice model, bottom ablation must not exceed hmelt (-0.15) |
---|
| 619 | zdhbf = dh_i_bott(ji) |
---|
| 620 | IF (jpl.EQ.1) zdhbf = MAX( hmelt , dh_i_bott(ji) ) |
---|
| 621 | ! excessive energy is sent to lateral ablation |
---|
| 622 | fsup(ji) = rhoic*lfus * at_i_b(ji) / MAX( ( 1.0 - at_i_b(ji) ),epsi13) & |
---|
[921] | 623 | * ( zdhbf - dh_i_bott(ji) ) / rdt_ice |
---|
[825] | 624 | |
---|
| 625 | dh_i_bott(ji) = zdhbf |
---|
| 626 | !since ice volume is only used for outputs, we keep it global for all categories |
---|
| 627 | dvbbq_1d(ji) = a_i_b(ji)*dh_i_bott(ji) |
---|
| 628 | !new ice thickness |
---|
| 629 | zhgnew(ji) = ht_i_b(ji) + dh_i_surf(ji) + dh_i_bott(ji) |
---|
| 630 | |
---|
| 631 | ! diagnostic ( bottom ice growth ) |
---|
| 632 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
---|
| 633 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
---|
| 634 | diag_bot_gr(zji,zjj) = diag_bot_gr(zji,zjj) + MAX(dh_i_bott(ji),0.0)*a_i_b(ji) & |
---|
[921] | 635 | / rdt_ice |
---|
[825] | 636 | diag_sur_me(zji,zjj) = diag_sur_me(zji,zjj) + MIN(dh_i_surf(ji),0.0)*a_i_b(ji) & |
---|
[921] | 637 | / rdt_ice |
---|
[825] | 638 | diag_bot_me(zji,zjj) = diag_bot_me(zji,zjj) + MIN(dh_i_bott(ji),0.0)*a_i_b(ji) & |
---|
[921] | 639 | / rdt_ice |
---|
[825] | 640 | END DO |
---|
| 641 | |
---|
[834] | 642 | !----------------------------------- |
---|
| 643 | ! 5.2 More than available ice melts |
---|
| 644 | !----------------------------------- |
---|
[825] | 645 | ! then heat applied minus heat content at previous time step |
---|
| 646 | ! should equal heat remaining |
---|
| 647 | ! |
---|
| 648 | DO ji = kideb, kiut |
---|
| 649 | ! Adapt the remaining energy if too much ice melts |
---|
| 650 | !-------------------------------------------------- |
---|
| 651 | zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) !1 if ice |
---|
| 652 | ! 0 if no more ice |
---|
| 653 | zhgnew(ji) = zihgnew * zhgnew(ji) ! ice thickness is put to 0 |
---|
| 654 | ! remaining heat |
---|
[834] | 655 | zfdt_final(ji) = ( 1.0 - zihgnew ) * ( zqfont_su(ji) + zqfont_bo(ji) ) |
---|
[825] | 656 | |
---|
| 657 | ! If snow remains, energy is used to melt snow |
---|
| 658 | zhni = ht_s_b(ji) ! snow depth at previous time step |
---|
| 659 | zihg = MAX( zzero , SIGN ( zone , - ht_s_b(ji) ) ) ! 0 if snow |
---|
| 660 | |
---|
| 661 | ! energy of melting of remaining snow |
---|
| 662 | zqt_s(ji) = ( 1. - zihg) * zqt_s(ji) / MAX( zhni, zeps ) |
---|
| 663 | zdhnm = - ( 1. - zihg ) * ( 1. - zihgnew ) * ( zfdt_final(ji) / & |
---|
[921] | 664 | MAX( zqt_s(ji) , zeps ) ) |
---|
[825] | 665 | zhnfi = zhni + zdhnm |
---|
| 666 | zfdt_final(ji) = MAX ( zfdt_final(ji) + zqt_s(ji) * zdhnm , 0.0 ) |
---|
| 667 | ht_s_b(ji) = MAX( zzero , zhnfi ) |
---|
| 668 | zqt_s(ji) = zqt_s(ji) * ht_s_b(ji) |
---|
| 669 | |
---|
| 670 | ! Mass variations of ice and snow |
---|
| 671 | !--------------------------------- |
---|
| 672 | rdmicif_1d(ji) = rdmicif_1d(ji) + a_i_b(ji) * & |
---|
[921] | 673 | (zhgnew(ji)-ht_i_b(ji))*rhoic ! good |
---|
[825] | 674 | |
---|
| 675 | rdmsnif_1d(ji) = rdmsnif_1d(ji) + a_i_b(ji) * & |
---|
[921] | 676 | (ht_s_b(ji)-zhni)*rhosn ! good too |
---|
[825] | 677 | |
---|
| 678 | ! Remaining heat to the ocean |
---|
| 679 | !--------------------------------- |
---|
| 680 | ! focea is in W.m-2 * dt |
---|
| 681 | focea(ji) = - zfdt_final(ji) / rdt_ice |
---|
| 682 | |
---|
| 683 | END DO |
---|
| 684 | |
---|
| 685 | ftotal_fin (:) = zfdt_final(:) / rdt_ice |
---|
| 686 | |
---|
| 687 | !--------------------------- |
---|
| 688 | ! Salt flux and heat fluxes |
---|
| 689 | !--------------------------- |
---|
| 690 | DO ji = kideb, kiut |
---|
| 691 | zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) !1 if ice |
---|
| 692 | |
---|
| 693 | ! Salt flux |
---|
| 694 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
---|
| 695 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
---|
| 696 | IF ( num_sal .NE. 4 ) & |
---|
[921] | 697 | fseqv_1d(ji) = fseqv_1d(ji) + zihgnew * zfsalt_melt(ji) + & |
---|
| 698 | (1.0 - zihgnew) * rdmicif_1d(ji) * & |
---|
| 699 | ( sss_m(zji,zjj) - sm_i_b(ji) ) / rdt_ice |
---|
[825] | 700 | ! new lines |
---|
| 701 | IF ( num_sal .EQ. 4 ) & |
---|
[921] | 702 | fseqv_1d(ji) = fseqv_1d(ji) + zihgnew * zfsalt_melt(ji) + & |
---|
| 703 | (1.0 - zihgnew) * rdmicif_1d(ji) * & |
---|
| 704 | ( sss_m(zji,zjj) - bulk_sal ) / rdt_ice |
---|
[825] | 705 | ! Heat flux |
---|
| 706 | ! excessive bottom ablation energy (fsup) - 0 except if jpl = 1 |
---|
| 707 | ! excessive total ablation energy (focea) sent to the ocean |
---|
| 708 | qfvbq_1d(ji) = qfvbq_1d(ji) + & |
---|
[921] | 709 | fsup(ji) + ( 1.0 - zihgnew ) * & |
---|
| 710 | focea(ji) * a_i_b(ji) * rdt_ice |
---|
[825] | 711 | |
---|
| 712 | zihic = 1.0 - MAX( zzero , SIGN( zone , -ht_i_b(ji) ) ) |
---|
| 713 | ! equals 0 if ht_i = 0, 1 if ht_i gt 0 |
---|
| 714 | fscbq_1d(ji) = a_i_b(ji) * fstbif_1d(ji) |
---|
| 715 | qldif_1d(ji) = qldif_1d(ji) & |
---|
[921] | 716 | + fsup(ji) + ( 1.0 - zihgnew ) * focea(ji) * a_i_b(ji) & |
---|
| 717 | * rdt_ice & |
---|
| 718 | + ( 1.0 - zihic ) * fscbq_1d(ji) * rdt_ice |
---|
[825] | 719 | END DO ! ji |
---|
| 720 | |
---|
| 721 | !------------------------------------------- |
---|
| 722 | ! Correct temperature, energy and thickness |
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| 723 | !------------------------------------------- |
---|
| 724 | DO ji = kideb, kiut |
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| 725 | zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) |
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| 726 | t_su_b(ji) = zihgnew * t_su_b(ji) + ( 1.0 - zihgnew ) * rtt |
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| 727 | END DO ! ji |
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| 728 | |
---|
| 729 | DO jk = 1, nlay_i |
---|
| 730 | DO ji = kideb, kiut |
---|
| 731 | zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) |
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| 732 | t_i_b(ji,jk) = zihgnew * t_i_b(ji,jk) + ( 1.0 - zihgnew ) * rtt |
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| 733 | q_i_b(ji,jk) = zihgnew * q_i_b(ji,jk) |
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| 734 | END DO |
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| 735 | END DO ! ji |
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| 736 | |
---|
| 737 | DO ji = kideb, kiut |
---|
| 738 | ht_i_b(ji) = zhgnew(ji) |
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| 739 | END DO ! ji |
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[921] | 740 | ! |
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| 741 | !------------------------------------------------------------------------------| |
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| 742 | ! 6) Snow-Ice formation | |
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| 743 | !------------------------------------------------------------------------------| |
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| 744 | ! |
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[825] | 745 | ! When snow load excesses Archimede's limit, snow-ice interface goes down |
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| 746 | ! under sea-level, flooding of seawater transforms snow into ice |
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| 747 | ! dh_snowice is positive for the ice |
---|
| 748 | DO ji = kideb, kiut |
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| 749 | |
---|
| 750 | dh_snowice(ji) = MAX(zzero,(rhosn*ht_s_b(ji)+(rhoic-rau0) & |
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[921] | 751 | * ht_i_b(ji))/(rhosn+rau0-rhoic)) |
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[825] | 752 | zhgnew(ji) = MAX(zhgnew(ji),zhgnew(ji)+dh_snowice(ji)) |
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| 753 | zhnnew = MIN(ht_s_b(ji),ht_s_b(ji)-dh_snowice(ji)) |
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| 754 | |
---|
[921] | 755 | ! Changes in ice volume and ice mass. |
---|
[825] | 756 | dvnbq_1d(ji) = a_i_b(ji) * (zhgnew(ji)-ht_i_b(ji)) |
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| 757 | dmgwi_1d(ji) = dmgwi_1d(ji) + a_i_b(ji) & |
---|
[921] | 758 | *(ht_s_b(ji)-zhnnew)*rhosn |
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[825] | 759 | |
---|
| 760 | rdmicif_1d(ji) = rdmicif_1d(ji) + a_i_b(ji) & |
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[921] | 761 | * ( zhgnew(ji) - ht_i_b(ji) )*rhoic |
---|
[825] | 762 | rdmsnif_1d(ji) = rdmsnif_1d(ji) + a_i_b(ji) & |
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[921] | 763 | * ( zhnnew - ht_s_b(ji) )*rhosn |
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[825] | 764 | |
---|
[921] | 765 | ! Equivalent salt flux (1) Snow-ice formation component |
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| 766 | ! ----------------------------------------------------- |
---|
[825] | 767 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
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| 768 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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| 769 | |
---|
| 770 | zsm_snowice = ( rhoic - rhosn ) / rhoic * & |
---|
[921] | 771 | sss_m(zji,zjj) |
---|
[825] | 772 | |
---|
| 773 | IF ( num_sal .NE. 2 ) zsm_snowice = sm_i_b(ji) |
---|
| 774 | |
---|
| 775 | IF ( num_sal .NE. 4 ) & |
---|
[921] | 776 | fseqv_1d(ji) = fseqv_1d(ji) + & |
---|
| 777 | ( sss_m(zji,zjj) - zsm_snowice ) * & |
---|
| 778 | a_i_b(ji) * & |
---|
| 779 | ( zhgnew(ji) - ht_i_b(ji) ) * rhoic / rdt_ice |
---|
[825] | 780 | ! new lines |
---|
| 781 | IF ( num_sal .EQ. 4 ) & |
---|
[921] | 782 | fseqv_1d(ji) = fseqv_1d(ji) + & |
---|
| 783 | ( sss_m(zji,zjj) - bulk_sal ) * & |
---|
| 784 | a_i_b(ji) * & |
---|
| 785 | ( zhgnew(ji) - ht_i_b(ji) ) * rhoic / rdt_ice |
---|
[825] | 786 | |
---|
| 787 | ! entrapment during snow ice formation |
---|
[842] | 788 | i_ice_switch = 1.0 - MAX ( 0.0 , SIGN ( 1.0 , - ht_i_b(ji) + 1.0e-6 ) ) |
---|
[825] | 789 | isnowic = 1.0 - MAX ( 0.0 , SIGN ( 1.0 , - dh_snowice(ji) ) ) * & |
---|
[921] | 790 | i_ice_switch |
---|
[825] | 791 | IF ( ( num_sal .EQ. 2 ) .OR. ( num_sal .EQ. 4 ) ) & |
---|
[921] | 792 | dsm_i_si_1d(ji) = ( zsm_snowice*dh_snowice(ji) & |
---|
| 793 | + sm_i_b(ji) * ht_i_b(ji) & |
---|
| 794 | / MAX( ht_i_b(ji) + dh_snowice(ji), zeps) & |
---|
| 795 | - sm_i_b(ji) ) * isnowic |
---|
[825] | 796 | |
---|
[921] | 797 | ! Actualize new snow and ice thickness. |
---|
[825] | 798 | ht_s_b(ji) = zhnnew |
---|
| 799 | ht_i_b(ji) = zhgnew(ji) |
---|
| 800 | |
---|
| 801 | ! Total ablation ! new lines added to debug |
---|
| 802 | IF( ht_i_b(ji).LE.0.0 ) a_i_b(ji) = 0.0 |
---|
| 803 | |
---|
| 804 | ! diagnostic ( snow ice growth ) |
---|
| 805 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
---|
| 806 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
---|
| 807 | diag_sni_gr(zji,zjj) = diag_sni_gr(zji,zjj) + dh_snowice(ji)*a_i_b(ji) / & |
---|
[921] | 808 | rdt_ice |
---|
[825] | 809 | |
---|
| 810 | END DO !ji |
---|
| 811 | |
---|
[921] | 812 | END SUBROUTINE lim_thd_dh |
---|
[825] | 813 | #else |
---|
| 814 | !!====================================================================== |
---|
| 815 | !! *** MODULE limthd_dh *** |
---|
| 816 | !! no sea ice model |
---|
| 817 | !!====================================================================== |
---|
| 818 | CONTAINS |
---|
| 819 | SUBROUTINE lim_thd_dh ! Empty routine |
---|
| 820 | END SUBROUTINE lim_thd_dh |
---|
| 821 | #endif |
---|
[921] | 822 | END MODULE limthd_dh |
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