[825] | 1 | MODULE limthd_dh |
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[1572] | 2 | !!====================================================================== |
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| 3 | !! *** MODULE limthd_dh *** |
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| 4 | !! LIM-3 : thermodynamic growth and decay of the ice |
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| 5 | !!====================================================================== |
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| 6 | !! History : LIM ! 2003-05 (M. Vancoppenolle) Original code in 1D |
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| 7 | !! ! 2005-06 (M. Vancoppenolle) 3D version |
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| 8 | !! 3.2 ! 2009-07 (M. Vancoppenolle, Y. Aksenov, G. Madec) bug correction in rdmsnif & rdmicif |
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| 9 | !!---------------------------------------------------------------------- |
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[825] | 10 | #if defined key_lim3 |
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[834] | 11 | !!---------------------------------------------------------------------- |
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| 12 | !! 'key_lim3' LIM3 sea-ice model |
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| 13 | !!---------------------------------------------------------------------- |
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[1572] | 14 | !! lim_thd_dh : vertical accr./abl. and lateral ablation of sea ice |
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[825] | 15 | !!---------------------------------------------------------------------- |
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| 16 | USE par_oce ! ocean parameters |
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| 17 | USE phycst ! physical constants (OCE directory) |
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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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[1572] | 30 | PUBLIC lim_thd_dh ! called by lim_thd |
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[825] | 31 | |
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[1572] | 32 | REAL(wp) :: epsi20 = 1e-20 ! constant values |
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| 33 | REAL(wp) :: epsi13 = 1e-13 ! |
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| 34 | REAL(wp) :: epsi16 = 1e-16 ! |
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| 35 | REAL(wp) :: zzero = 0.e0 ! |
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| 36 | REAL(wp) :: zone = 1.e0 ! |
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[825] | 37 | |
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| 38 | !!---------------------------------------------------------------------- |
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[1572] | 39 | !! NEMO/LIM 3.2, UCL-LOCEAN-IPSL (2009) |
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[1156] | 40 | !! $Id$ |
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| 41 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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[825] | 42 | !!---------------------------------------------------------------------- |
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| 43 | |
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| 44 | CONTAINS |
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| 45 | |
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| 46 | SUBROUTINE lim_thd_dh(kideb,kiut,jl) |
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[921] | 47 | !!------------------------------------------------------------------ |
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| 48 | !! *** ROUTINE lim_thd_dh *** |
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| 49 | !! |
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[1572] | 50 | !! ** Purpose : determines variations of ice and snow thicknesses. |
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[921] | 51 | !! |
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[1572] | 52 | !! ** Method : Ice/Snow surface melting arises from imbalance in surface fluxes |
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| 53 | !! Bottom accretion/ablation arises from flux budget |
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| 54 | !! Snow thickness can increase by precipitation and decrease by sublimation |
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| 55 | !! If snow load excesses Archmiede limit, snow-ice is formed by |
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| 56 | !! the flooding of sea-water in the snow |
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[921] | 57 | !! |
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[1572] | 58 | !! 1) Compute available flux of heat for surface ablation |
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| 59 | !! 2) Compute snow and sea ice enthalpies |
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| 60 | !! 3) Surface ablation and sublimation |
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| 61 | !! 4) Bottom accretion/ablation |
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| 62 | !! 5) Case of Total ablation |
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| 63 | !! 6) Snow ice formation |
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[921] | 64 | !! |
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[1572] | 65 | !! References : Bitz and Lipscomb, 1999, J. Geophys. Res. |
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| 66 | !! Fichefet T. and M. Maqueda 1997, J. Geophys. Res., 102(C6), 12609-12646 |
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| 67 | !! Vancoppenolle, Fichefet and Bitz, 2005, Geophys. Res. Let. |
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| 68 | !! Vancoppenolle et al.,2009, Ocean Modelling |
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[921] | 69 | !!------------------------------------------------------------------ |
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[1572] | 70 | INTEGER , INTENT(in) :: kideb, kiut ! Start/End point on which the the computation is applied |
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| 71 | INTEGER , INTENT(in) :: jl ! Thickness cateogry number |
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| 72 | !! |
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| 73 | INTEGER :: ji , jk ! dummy loop indices |
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| 74 | INTEGER :: zji, zjj ! 2D corresponding indices to ji |
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| 75 | INTEGER :: isnow ! switch for presence (1) or absence (0) of snow |
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| 76 | INTEGER :: isnowic ! snow ice formation not |
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| 77 | INTEGER :: i_ice_switch ! ice thickness above a certain treshold or not |
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| 78 | INTEGER :: iter |
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[825] | 79 | |
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[1572] | 80 | REAL(wp) :: zzfmass_i, zzfmass_s ! temporary scalar |
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| 81 | REAL(wp) :: zhsnew, zihgnew, ztmelts ! temporary scalar |
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| 82 | REAL(wp) :: zhn, zdhcf, zdhbf, zhni, zhnfi, zihg ! |
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| 83 | REAL(wp) :: zdhnm, zhnnew, zhisn, zihic ! |
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| 84 | REAL(wp) :: zfracs ! fractionation coefficient for bottom salt entrapment |
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| 85 | REAL(wp) :: zds ! increment of bottom ice salinity |
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| 86 | REAL(wp) :: zcoeff ! dummy argument for snowfall partitioning over ice and leads |
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| 87 | REAL(wp) :: zsm_snowice ! snow-ice salinity |
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| 88 | REAL(wp) :: zswi1 ! switch for computation of bottom salinity |
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| 89 | REAL(wp) :: zswi12 ! switch for computation of bottom salinity |
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| 90 | REAL(wp) :: zswi2 ! switch for computation of bottom salinity |
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| 91 | REAL(wp) :: zgrr ! bottom growth rate |
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| 92 | REAL(wp) :: ztform ! bottom formation temperature |
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[825] | 93 | |
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[1572] | 94 | REAL(wp), DIMENSION(jpij) :: zh_i ! ice layer thickness |
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| 95 | REAL(wp), DIMENSION(jpij) :: zh_s ! snow layer thickness |
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| 96 | REAL(wp), DIMENSION(jpij) :: ztfs ! melting point |
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| 97 | REAL(wp), DIMENSION(jpij) :: zhsold ! old snow thickness |
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| 98 | REAL(wp), DIMENSION(jpij) :: zqprec ! energy of fallen snow |
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| 99 | REAL(wp), DIMENSION(jpij) :: zqfont_su ! incoming, remaining surface energy |
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| 100 | REAL(wp), DIMENSION(jpij) :: zqfont_bo ! incoming, bottom energy |
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| 101 | REAL(wp), DIMENSION(jpij) :: z_f_surf ! surface heat for ablation |
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| 102 | REAL(wp), DIMENSION(jpij) :: zhgnew ! new ice thickness |
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| 103 | REAL(wp), DIMENSION(jpij) :: zfmass_i ! |
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[825] | 104 | |
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[1572] | 105 | REAL(wp), DIMENSION(jpij) :: zdh_s_mel ! snow melt |
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| 106 | REAL(wp), DIMENSION(jpij) :: zdh_s_pre ! snow precipitation |
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| 107 | REAL(wp), DIMENSION(jpij) :: zdh_s_sub ! snow sublimation |
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| 108 | REAL(wp), DIMENSION(jpij) :: zfsalt_melt ! salt flux due to ice melt |
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[825] | 109 | |
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[1572] | 110 | REAL(wp) , DIMENSION(jpij,jkmax) :: zdeltah |
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[825] | 111 | |
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[921] | 112 | ! Pathological cases |
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[1572] | 113 | REAL(wp), DIMENSION(jpij) :: zfdt_init ! total incoming heat for ice melt |
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| 114 | REAL(wp), DIMENSION(jpij) :: zfdt_final ! total remaing heat for ice melt |
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| 115 | REAL(wp), DIMENSION(jpij) :: zqt_i ! total ice heat content |
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| 116 | REAL(wp), DIMENSION(jpij) :: zqt_s ! total snow heat content |
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| 117 | REAL(wp), DIMENSION(jpij) :: zqt_dummy ! dummy heat content |
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[825] | 118 | |
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[1572] | 119 | REAL(wp), DIMENSION(jpij,jkmax) :: zqt_i_lay ! total ice heat content |
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[825] | 120 | |
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[921] | 121 | ! Heat conservation |
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[1572] | 122 | INTEGER :: num_iter_max, numce_dh |
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| 123 | REAL(wp) :: meance_dh |
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| 124 | INTEGER , DIMENSION(jpij) :: innermelt |
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| 125 | REAL(wp), DIMENSION(jpij) :: zfbase, zdq_i |
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| 126 | !!------------------------------------------------------------------ |
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[825] | 127 | |
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| 128 | zfsalt_melt(:) = 0.0 |
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| 129 | ftotal_fin(:) = 0.0 |
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| 130 | zfdt_init(:) = 0.0 |
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| 131 | zfdt_final(:) = 0.0 |
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| 132 | |
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| 133 | DO ji = kideb, kiut |
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| 134 | old_ht_i_b(ji) = ht_i_b(ji) |
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| 135 | old_ht_s_b(ji) = ht_s_b(ji) |
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| 136 | END DO |
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[921] | 137 | ! |
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| 138 | !------------------------------------------------------------------------------! |
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| 139 | ! 1) Calculate available heat for surface ablation ! |
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| 140 | !------------------------------------------------------------------------------! |
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| 141 | ! |
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[825] | 142 | DO ji = kideb,kiut |
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| 143 | isnow = INT( 1.0 - MAX ( 0.0 , SIGN ( 1.0 , - ht_s_b(ji) ) ) ) |
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| 144 | ztfs(ji) = isnow * rtt + ( 1.0 - isnow ) * rtt |
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[1572] | 145 | z_f_surf(ji) = qnsr_ice_1d(ji) + ( 1.0 - i0(ji) ) * qsr_ice_1d(ji) - fc_su(ji) |
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| 146 | z_f_surf(ji) = MAX( zzero , z_f_surf(ji) ) * MAX( zzero , SIGN( zone , t_su_b(ji) - ztfs(ji) ) ) |
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| 147 | zfdt_init(ji) = ( z_f_surf(ji) + MAX( fbif_1d(ji) + qlbbq_1d(ji) + fc_bo_i(ji),0.0 ) ) * rdt_ice |
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[825] | 148 | END DO ! ji |
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| 149 | |
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| 150 | zqfont_su(:) = 0.0 |
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| 151 | zqfont_bo(:) = 0.0 |
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| 152 | dsm_i_se_1d(:) = 0.0 |
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| 153 | dsm_i_si_1d(:) = 0.0 |
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[921] | 154 | ! |
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| 155 | !------------------------------------------------------------------------------! |
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| 156 | ! 2) Computing layer thicknesses and snow and sea-ice enthalpies. ! |
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| 157 | !------------------------------------------------------------------------------! |
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| 158 | ! |
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[825] | 159 | ! Layer thickness |
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| 160 | DO ji = kideb,kiut |
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| 161 | zh_i(ji) = ht_i_b(ji) / nlay_i |
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| 162 | zh_s(ji) = ht_s_b(ji) / nlay_s |
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| 163 | END DO |
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| 164 | |
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[834] | 165 | ! Total enthalpy of the snow |
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[825] | 166 | zqt_s(:) = 0.0 |
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| 167 | DO jk = 1, nlay_s |
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| 168 | DO ji = kideb,kiut |
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[1572] | 169 | zqt_s(ji) = zqt_s(ji) + q_s_b(ji,jk) * ht_s_b(ji) / nlay_s |
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[825] | 170 | END DO |
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| 171 | END DO |
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| 172 | |
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[834] | 173 | ! Total enthalpy of the ice |
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[825] | 174 | zqt_i(:) = 0.0 |
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| 175 | DO jk = 1, nlay_i |
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| 176 | DO ji = kideb,kiut |
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| 177 | zqt_i(ji) = zqt_i(ji) + q_i_b(ji,jk) * ht_i_b(ji) / nlay_i |
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[1572] | 178 | zqt_i_lay(ji,jk) = q_i_b(ji,jk) * ht_i_b(ji) / nlay_i |
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[825] | 179 | END DO |
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| 180 | END DO |
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[921] | 181 | ! |
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| 182 | !------------------------------------------------------------------------------| |
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| 183 | ! 3) Surface ablation and sublimation | |
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| 184 | !------------------------------------------------------------------------------| |
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| 185 | ! |
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[834] | 186 | !------------------------- |
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| 187 | ! 3.1 Snow precips / melt |
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| 188 | !------------------------- |
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[825] | 189 | ! Snow accumulation in one thermodynamic time step |
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| 190 | ! snowfall is partitionned between leads and ice |
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| 191 | ! if snow fall was uniform, a fraction (1-at_i) would fall into leads |
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| 192 | ! but because of the winds, more snow falls on leads than on sea ice |
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| 193 | ! and a greater fraction (1-at_i)^beta of the total mass of snow |
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[834] | 194 | ! (beta < 1) falls in leads. |
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[825] | 195 | ! In reality, beta depends on wind speed, |
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| 196 | ! and should decrease with increasing wind speed but here, it is |
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[834] | 197 | ! considered as a constant. an average value is 0.66 |
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[825] | 198 | ! Martin Vancoppenolle, December 2006 |
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| 199 | |
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| 200 | ! Snow fall |
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| 201 | DO ji = kideb, kiut |
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| 202 | zcoeff = ( 1.0 - ( 1.0 - at_i_b(ji) )**betas ) / at_i_b(ji) |
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| 203 | zdh_s_pre(ji) = zcoeff * sprecip_1d(ji) * rdt_ice / rhosn |
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| 204 | END DO |
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| 205 | zdh_s_mel(:) = 0.0 |
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| 206 | |
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| 207 | ! Melt of fallen snow |
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| 208 | DO ji = kideb, kiut |
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| 209 | ! tatm_ice is now in K |
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[1572] | 210 | zqprec (ji) = rhosn * ( cpic * ( rtt - tatm_ice_1d(ji) ) + lfus ) |
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| 211 | zqfont_su(ji) = z_f_surf(ji) * rdt_ice |
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| 212 | zdeltah (ji,1) = MIN( 0.e0 , - zqfont_su(ji) / MAX( zqprec(ji) , epsi13 ) ) |
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| 213 | zqfont_su(ji) = MAX( 0.e0 , - zdh_s_pre(ji) - zdeltah(ji,1) ) * zqprec(ji) |
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| 214 | zdeltah (ji,1) = MAX( - zdh_s_pre(ji) , zdeltah(ji,1) ) |
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| 215 | zdh_s_mel(ji) = zdh_s_mel(ji) + zdeltah(ji,1) |
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[825] | 216 | ! heat conservation |
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[1572] | 217 | qt_s_in(ji,jl) = qt_s_in(ji,jl) + zqprec(ji) * zdh_s_pre(ji) |
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| 218 | zqt_s (ji) = zqt_s (ji) + zqprec(ji) * zdh_s_pre(ji) |
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| 219 | zqt_s (ji) = MAX( zqt_s(ji) - zqfont_su(ji) , 0.e0 ) |
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[825] | 220 | END DO |
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| 221 | |
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| 222 | |
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| 223 | ! Snow melt due to surface heat imbalance |
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| 224 | DO jk = 1, nlay_s |
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| 225 | DO ji = kideb, kiut |
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[1572] | 226 | zdeltah (ji,jk) = - zqfont_su(ji) / q_s_b(ji,jk) |
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| 227 | zqfont_su(ji) = MAX( 0.0 , - zh_s(ji) - zdeltah(ji,jk) ) * q_s_b(ji,jk) |
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| 228 | zdeltah (ji,jk) = MAX( zdeltah(ji,jk) , - zh_s(ji) ) |
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| 229 | zdh_s_mel(ji) = zdh_s_mel(ji) + zdeltah(ji,jk) ! resulting melt of snow |
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[825] | 230 | END DO |
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| 231 | END DO |
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| 232 | |
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| 233 | ! Apply snow melt to snow depth |
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| 234 | DO ji = kideb, kiut |
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| 235 | dh_s_tot(ji) = zdh_s_mel(ji) + zdh_s_pre(ji) |
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| 236 | ! Old and new snow depths |
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| 237 | zhsold(ji) = ht_s_b(ji) |
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| 238 | zhsnew = ht_s_b(ji) + dh_s_tot(ji) |
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| 239 | ! If snow is still present zhn = 1, else zhn = 0 |
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| 240 | zhn = 1.0 - MAX( zzero , SIGN( zone , - zhsnew ) ) |
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| 241 | ht_s_b(ji) = MAX( zzero , zhsnew ) |
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| 242 | ! Volume and mass variations of snow |
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[1572] | 243 | dvsbq_1d (ji) = a_i_b(ji) * ( ht_s_b(ji) - zhsold(ji) - zdh_s_mel(ji) ) |
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| 244 | dvsbq_1d (ji) = MIN( zzero, dvsbq_1d(ji) ) |
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[1571] | 245 | rdmsnif_1d(ji) = rdmsnif_1d(ji) + rhosn * dvsbq_1d(ji) |
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[825] | 246 | END DO ! ji |
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| 247 | |
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[834] | 248 | !-------------------------- |
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| 249 | ! 3.2 Surface ice ablation |
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| 250 | !-------------------------- |
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[825] | 251 | DO ji = kideb, kiut |
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[1572] | 252 | dh_i_surf(ji) = 0.e0 |
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| 253 | z_f_surf (ji) = zqfont_su(ji) / rdt_ice ! heat conservation test |
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| 254 | zdq_i (ji) = 0.e0 |
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[825] | 255 | END DO ! ji |
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| 256 | |
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| 257 | DO jk = 1, nlay_i |
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| 258 | DO ji = kideb, kiut |
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[1572] | 259 | ! ! melt of layer jk |
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| 260 | zdeltah (ji,jk) = - zqfont_su(ji) / q_i_b(ji,jk) |
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| 261 | ! ! recompute heat available |
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| 262 | zqfont_su(ji) = MAX( 0.0 , - zh_i(ji) - zdeltah(ji,jk) ) * q_i_b(ji,jk) |
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| 263 | ! ! melt of layer jk cannot be higher than its thickness |
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| 264 | zdeltah (ji,jk) = MAX( zdeltah(ji,jk) , - zh_i(ji) ) |
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| 265 | ! ! update surface melt |
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| 266 | dh_i_surf(ji) = dh_i_surf(ji) + zdeltah(ji,jk) |
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| 267 | ! ! for energy conservation |
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| 268 | zdq_i (ji) = zdq_i(ji) + zdeltah(ji,jk) * q_i_b(ji,jk) / rdt_ice |
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| 269 | ! |
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[834] | 270 | ! contribution to ice-ocean salt flux |
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[1572] | 271 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
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| 272 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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| 273 | zfsalt_melt(ji) = zfsalt_melt(ji) + ( sss_m(zji,zjj) - sm_i_b(ji) ) * a_i_b(ji) & |
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| 274 | & * MIN( zdeltah(ji,jk) , 0.e0 ) * rhoic / rdt_ice |
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| 275 | END DO |
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| 276 | END DO |
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[825] | 277 | |
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[1572] | 278 | ! !------------------- |
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| 279 | IF( con_i ) THEN ! Conservation test |
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| 280 | ! !------------------- |
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| 281 | numce_dh = 0 |
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| 282 | meance_dh = 0.e0 |
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[921] | 283 | DO ji = kideb, kiut |
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| 284 | IF ( ( z_f_surf(ji) + zdq_i(ji) ) .GE. 1.0e-3 ) THEN |
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| 285 | numce_dh = numce_dh + 1 |
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| 286 | meance_dh = meance_dh + z_f_surf(ji) + zdq_i(ji) |
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| 287 | ENDIF |
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[1572] | 288 | IF( z_f_surf(ji) + zdq_i(ji) .GE. 1.0e-3 ) THEN! |
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[921] | 289 | WRITE(numout,*) ' ALERTE heat loss for surface melt ' |
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| 290 | WRITE(numout,*) ' zji, zjj, jl :', zji, zjj, jl |
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| 291 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
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| 292 | WRITE(numout,*) ' z_f_surf : ', z_f_surf(ji) |
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| 293 | WRITE(numout,*) ' zdq_i : ', zdq_i(ji) |
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| 294 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
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| 295 | WRITE(numout,*) ' fc_bo_i : ', fc_bo_i(ji) |
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| 296 | WRITE(numout,*) ' fbif_1d : ', fbif_1d(ji) |
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| 297 | WRITE(numout,*) ' qlbbq_1d: ', qlbbq_1d(ji) |
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| 298 | WRITE(numout,*) ' s_i_new : ', s_i_new(ji) |
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| 299 | WRITE(numout,*) ' sss_m : ', sss_m(zji,zjj) |
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| 300 | ENDIF |
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[1572] | 301 | END DO |
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| 302 | ! |
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| 303 | IF( numce_dh > 0 ) meance_dh = meance_dh / numce_dh |
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[921] | 304 | WRITE(numout,*) ' Error report - Category : ', jl |
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| 305 | WRITE(numout,*) ' ~~~~~~~~~~~~ ' |
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| 306 | WRITE(numout,*) ' Number of points where there is sur. me. error : ', numce_dh |
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| 307 | WRITE(numout,*) ' Mean basal growth error on error points : ', meance_dh |
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[1572] | 308 | ! |
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| 309 | ENDIF |
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[825] | 310 | |
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[834] | 311 | !---------------------- |
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| 312 | ! 3.3 Snow sublimation |
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| 313 | !---------------------- |
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[825] | 314 | |
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| 315 | DO ji = kideb, kiut |
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| 316 | ! if qla is positive (upwards), heat goes to the atmosphere, therefore |
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| 317 | ! snow sublimates, if qla is negative (downwards), snow condensates |
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[1572] | 318 | zdh_s_sub(ji) = - parsub * qla_ice_1d(ji) / ( rhosn * lsub ) * rdt_ice |
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| 319 | dh_s_tot (ji) = dh_s_tot(ji) + zdh_s_sub(ji) |
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| 320 | zdhcf = ht_s_b(ji) + zdh_s_sub(ji) |
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| 321 | ht_s_b (ji) = MAX( zzero , zdhcf ) |
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[825] | 322 | ! we recompute dh_s_tot |
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[1572] | 323 | dh_s_tot (ji) = ht_s_b(ji) - zhsold(ji) |
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| 324 | qt_s_in (ji,jl) = qt_s_in(ji,jl) + zdh_s_sub(ji)*q_s_b(ji,1) |
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| 325 | END DO |
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[825] | 326 | |
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[1572] | 327 | zqt_dummy(:) = 0.e0 |
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[825] | 328 | DO jk = 1, nlay_s |
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| 329 | DO ji = kideb,kiut |
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[1572] | 330 | q_s_b (ji,jk) = rhosn * ( cpic * ( rtt - t_s_b(ji,jk) ) + lfus ) |
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| 331 | zqt_dummy(ji) = zqt_dummy(ji) + q_s_b(ji,jk) * ht_s_b(ji) / nlay_s ! heat conservation |
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[825] | 332 | END DO |
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| 333 | END DO |
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| 334 | |
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[1572] | 335 | DO jk = 1, nlay_s |
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| 336 | DO ji = kideb, kiut |
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| 337 | ! In case of disparition of the snow, we have to update the snow temperatures |
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[825] | 338 | zhisn = MAX( zzero , SIGN( zone, - ht_s_b(ji) ) ) |
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| 339 | t_s_b(ji,jk) = ( 1.0 - zhisn ) * t_s_b(ji,jk) + zhisn * rtt |
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| 340 | q_s_b(ji,jk) = ( 1.0 - zhisn ) * q_s_b(ji,jk) |
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| 341 | END DO |
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[921] | 342 | END DO |
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[825] | 343 | |
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[921] | 344 | ! |
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| 345 | !------------------------------------------------------------------------------! |
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| 346 | ! 4) Basal growth / melt ! |
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| 347 | !------------------------------------------------------------------------------! |
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| 348 | ! |
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[825] | 349 | ! Ice basal growth / melt is given by the ratio of heat budget over basal |
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| 350 | ! ice heat content. Basal heat budget is given by the difference between |
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| 351 | ! the inner conductive flux (fc_bo_i), from the open water heat flux |
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| 352 | ! (qlbbqb) and the turbulent ocean flux (fbif). |
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[834] | 353 | ! fc_bo_i is positive downwards. fbif and qlbbq are positive to the ice |
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[825] | 354 | |
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[834] | 355 | !----------------------------------------------------- |
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| 356 | ! 4.1 Basal growth - (a) salinity not varying in time |
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| 357 | !----------------------------------------------------- |
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[1572] | 358 | IF( num_sal /= 2 .AND. num_sal /= 4 ) THEN |
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[825] | 359 | DO ji = kideb, kiut |
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[1572] | 360 | IF( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) < 0.0 ) THEN |
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[825] | 361 | s_i_new(ji) = sm_i_b(ji) |
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| 362 | ! Melting point in K |
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| 363 | ztmelts = - tmut * s_i_new(ji) + rtt |
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| 364 | ! New ice heat content (Bitz and Lipscomb, 1999) |
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| 365 | ztform = t_i_b(ji,nlay_i) ! t_bo_b crashes in the |
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[921] | 366 | ! Baltic |
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[1572] | 367 | q_i_b(ji,nlay_i+1) = rhoic * ( cpic * ( ztmelts - ztform ) & |
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| 368 | & + lfus * ( 1.0 - ( ztmelts - rtt ) / ( ztform - rtt ) ) & |
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| 369 | & - rcp * ( ztmelts - rtt ) ) |
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[825] | 370 | ! Basal growth rate = - F*dt / q |
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[1572] | 371 | dh_i_bott(ji) = - rdt_ice*( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) / q_i_b(ji,nlay_i+1) |
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| 372 | ENDIF |
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| 373 | END DO |
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| 374 | ENDIF |
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[825] | 375 | |
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[834] | 376 | !------------------------------------------------- |
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| 377 | ! 4.1 Basal growth - (b) salinity varying in time |
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| 378 | !------------------------------------------------- |
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[1572] | 379 | IF( num_sal == 2 .OR. num_sal == 4 ) THEN |
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[825] | 380 | ! the growth rate (dh_i_bott) is function of the new ice |
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| 381 | ! heat content (q_i_b(nlay_i+1)). q_i_b depends on the new ice |
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| 382 | ! salinity (snewice). snewice depends on dh_i_bott |
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| 383 | ! it converges quickly, so, no problem |
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[834] | 384 | ! See Vancoppenolle et al., OM08 for more info on this |
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[825] | 385 | |
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| 386 | ! Initial value (tested 1D, can be anything between 1 and 20) |
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| 387 | num_iter_max = 4 |
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[1572] | 388 | s_i_new(:) = 4.0 |
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[825] | 389 | |
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| 390 | ! Iterative procedure |
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| 391 | DO iter = 1, num_iter_max |
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| 392 | DO ji = kideb, kiut |
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[1572] | 393 | IF( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) < 0.e0 ) THEN |
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[825] | 394 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
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| 395 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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| 396 | ! Melting point in K |
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| 397 | ztmelts = - tmut * s_i_new(ji) + rtt |
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| 398 | ! New ice heat content (Bitz and Lipscomb, 1999) |
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[1572] | 399 | q_i_b(ji,nlay_i+1) = rhoic * ( cpic * ( ztmelts - t_bo_b(ji) ) & |
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| 400 | & + lfus * ( 1.0 - ( ztmelts - rtt ) / ( t_bo_b(ji) - rtt ) ) & |
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| 401 | & - rcp * ( ztmelts-rtt ) ) |
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[825] | 402 | ! Bottom growth rate = - F*dt / q |
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[1572] | 403 | dh_i_bott(ji) = - rdt_ice * ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) / q_i_b(ji,nlay_i+1) |
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[825] | 404 | ! New ice salinity ( Cox and Weeks, JGR, 1988 ) |
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| 405 | ! zswi2 (1) if dh_i_bott/rdt .GT. 3.6e-7 |
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| 406 | ! zswi12 (1) if dh_i_bott/rdt .LT. 3.6e-7 and .GT. 2.0e-8 |
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| 407 | ! zswi1 (1) if dh_i_bott/rdt .LT. 2.0e-8 |
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[1572] | 408 | zgrr = MIN( 1.0e-3, MAX ( dh_i_bott(ji) / rdt_ice , epsi13 ) ) |
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[825] | 409 | zswi2 = MAX( zzero , SIGN( zone , zgrr - 3.6e-7 ) ) |
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| 410 | zswi12 = MAX( zzero , SIGN( zone , zgrr - 2.0e-8 ) ) * ( 1.0 - zswi2 ) |
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| 411 | zswi1 = 1. - zswi2 * zswi12 |
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[1572] | 412 | zfracs = zswi1 * 0.12 + zswi12 * ( 0.8925 + 0.0568 * LOG( 100.0 * zgrr ) ) & |
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| 413 | & + zswi2 * 0.26 / ( 0.26 + 0.74 * EXP ( - 724300.0 * zgrr ) ) |
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| 414 | zds = zfracs * sss_m(zji,zjj) - s_i_new(ji) |
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[888] | 415 | s_i_new(ji) = zfracs * sss_m(zji,zjj) |
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[825] | 416 | ENDIF ! fc_bo_i |
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| 417 | END DO ! ji |
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| 418 | END DO ! iter |
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| 419 | |
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| 420 | ! Final values |
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| 421 | DO ji = kideb, kiut |
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[1572] | 422 | IF( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) .LT. 0.0 ) THEN |
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[825] | 423 | ! New ice salinity must not exceed 15 psu |
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| 424 | s_i_new(ji) = MIN( s_i_new(ji), s_i_max ) |
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| 425 | ! Metling point in K |
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| 426 | ztmelts = - tmut * s_i_new(ji) + rtt |
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| 427 | ! New ice heat content (Bitz and Lipscomb, 1999) |
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[1572] | 428 | q_i_b(ji,nlay_i+1) = rhoic * ( cpic * ( ztmelts - t_bo_b(ji) ) & |
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| 429 | & + lfus * ( 1.0 - ( ztmelts - rtt ) / ( t_bo_b(ji) - rtt ) ) & |
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| 430 | & - rcp * ( ztmelts - rtt ) ) |
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[825] | 431 | ! Basal growth rate = - F*dt / q |
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[1572] | 432 | dh_i_bott(ji) = - rdt_ice*( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) / q_i_b(ji,nlay_i+1) |
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[834] | 433 | ! Salinity update |
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[825] | 434 | ! entrapment during bottom growth |
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[1572] | 435 | dsm_i_se_1d(ji) = ( s_i_new(ji) * dh_i_bott(ji) + sm_i_b(ji) * ht_i_b(ji) ) & |
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| 436 | & / MAX( ht_i_b(ji) + dh_i_bott(ji) ,epsi13 ) - sm_i_b(ji) |
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[825] | 437 | ENDIF ! heat budget |
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[1572] | 438 | END DO |
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| 439 | ENDIF |
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[825] | 440 | |
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[834] | 441 | !---------------- |
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| 442 | ! 4.2 Basal melt |
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| 443 | !---------------- |
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[825] | 444 | meance_dh = 0.0 |
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[1572] | 445 | numce_dh = 0 |
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[825] | 446 | innermelt(:) = 0 |
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| 447 | |
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| 448 | DO ji = kideb, kiut |
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| 449 | ! heat convergence at the surface > 0 |
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[1572] | 450 | IF( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) >= 0.e0 ) THEN |
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[921] | 451 | |
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[825] | 452 | s_i_new(ji) = s_i_b(ji,nlay_i) |
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| 453 | zqfont_bo(ji) = rdt_ice * ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) |
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| 454 | |
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| 455 | zfbase(ji) = zqfont_bo(ji) / rdt_ice ! heat conservation test |
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[1572] | 456 | zdq_i(ji) = 0.e0 |
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[825] | 457 | |
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[1572] | 458 | dh_i_bott(ji) = 0.e0 |
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[825] | 459 | ENDIF |
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| 460 | END DO |
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| 461 | |
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| 462 | DO jk = nlay_i, 1, -1 |
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| 463 | DO ji = kideb, kiut |
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| 464 | IF ( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) .GE. 0.0 ) THEN |
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| 465 | ztmelts = - tmut * s_i_b(ji,jk) + rtt |
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| 466 | IF ( t_i_b(ji,jk) .GE. ztmelts ) THEN |
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| 467 | zdeltah(ji,jk) = - zh_i(ji) |
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| 468 | dh_i_bott(ji) = dh_i_bott(ji) + zdeltah(ji,jk) |
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| 469 | innermelt(ji) = 1 |
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| 470 | ELSE ! normal ablation |
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| 471 | zdeltah(ji,jk) = - zqfont_bo(ji) / q_i_b(ji,jk) |
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[1572] | 472 | zqfont_bo(ji) = MAX( 0.0 , - zh_i(ji) - zdeltah(ji,jk) ) * q_i_b(ji,jk) |
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[825] | 473 | zdeltah(ji,jk) = MAX(zdeltah(ji,jk), - zh_i(ji) ) |
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| 474 | dh_i_bott(ji) = dh_i_bott(ji) + zdeltah(ji,jk) |
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[1572] | 475 | zdq_i(ji) = zdq_i(ji) + zdeltah(ji,jk) * q_i_b(ji,jk) / rdt_ice |
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[921] | 476 | ! contribution to salt flux |
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[825] | 477 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
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| 478 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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[1572] | 479 | zfsalt_melt(ji) = zfsalt_melt(ji) + ( sss_m(zji,zjj) - sm_i_b(ji) ) * a_i_b(ji) & |
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| 480 | & * MIN( zdeltah(ji,jk) , 0.0 ) * rhoic / rdt_ice |
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[825] | 481 | ENDIF |
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| 482 | ENDIF |
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| 483 | END DO ! ji |
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| 484 | END DO ! jk |
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| 485 | |
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[1572] | 486 | ! !------------------- |
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| 487 | IF( con_i ) THEN ! Conservation test |
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| 488 | ! !------------------- |
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[921] | 489 | DO ji = kideb, kiut |
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[1572] | 490 | IF( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) >= 0.e0 ) THEN |
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| 491 | IF( ( zfbase(ji) + zdq_i(ji) ) >= 1.e-3 ) THEN |
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| 492 | numce_dh = numce_dh + 1 |
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[921] | 493 | meance_dh = meance_dh + zfbase(ji) + zdq_i(ji) |
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| 494 | ENDIF |
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| 495 | IF ( zfbase(ji) + zdq_i(ji) .GE. 1.0e-3 ) THEN |
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| 496 | WRITE(numout,*) ' ALERTE heat loss for basal melt ' |
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| 497 | WRITE(numout,*) ' zji, zjj, jl :', zji, zjj, jl |
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| 498 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
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| 499 | WRITE(numout,*) ' zfbase : ', zfbase(ji) |
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| 500 | WRITE(numout,*) ' zdq_i : ', zdq_i(ji) |
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| 501 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
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| 502 | WRITE(numout,*) ' fc_bo_i : ', fc_bo_i(ji) |
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| 503 | WRITE(numout,*) ' fbif_1d : ', fbif_1d(ji) |
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| 504 | WRITE(numout,*) ' qlbbq_1d: ', qlbbq_1d(ji) |
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| 505 | WRITE(numout,*) ' s_i_new : ', s_i_new(ji) |
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| 506 | WRITE(numout,*) ' sss_m : ', sss_m(zji,zjj) |
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| 507 | WRITE(numout,*) ' dh_i_bott : ', dh_i_bott(ji) |
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| 508 | WRITE(numout,*) ' innermelt : ', innermelt(ji) |
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| 509 | ENDIF |
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[1572] | 510 | ENDIF |
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| 511 | END DO |
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| 512 | IF( numce_dh > 0 ) meance_dh = meance_dh / numce_dh |
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[921] | 513 | WRITE(numout,*) ' Number of points where there is bas. me. error : ', numce_dh |
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| 514 | WRITE(numout,*) ' Mean basal melt error on error points : ', meance_dh |
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| 515 | WRITE(numout,*) ' Remaining bottom heat : ', zqfont_bo(jiindex_1d) |
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[1572] | 516 | ! |
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| 517 | ENDIF |
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[825] | 518 | |
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[921] | 519 | ! |
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| 520 | !------------------------------------------------------------------------------! |
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| 521 | ! 5) Pathological cases ! |
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| 522 | !------------------------------------------------------------------------------! |
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| 523 | ! |
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[834] | 524 | !---------------------------------------------- |
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| 525 | ! 5.1 Excessive ablation in a 1-category model |
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| 526 | !---------------------------------------------- |
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[825] | 527 | |
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| 528 | DO ji = kideb, kiut |
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[1572] | 529 | ! ! in a 1-category sea ice model, bottom ablation must not exceed hmelt (-0.15) |
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| 530 | IF( jpl == 1 ) THEN ; zdhbf = MAX( hmelt , dh_i_bott(ji) ) |
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| 531 | ELSE ; zdhbf = dh_i_bott(ji) |
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| 532 | ENDIF |
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| 533 | ! ! excessive energy is sent to lateral ablation |
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| 534 | fsup (ji) = rhoic * lfus * at_i_b(ji) / MAX( 1.0 - at_i_b(ji) , epsi13 ) & |
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| 535 | & * ( zdhbf - dh_i_bott(ji) ) / rdt_ice |
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[825] | 536 | dh_i_bott(ji) = zdhbf |
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[1572] | 537 | ! !since ice volume is only used for outputs, we keep it global for all categories |
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| 538 | dvbbq_1d (ji) = a_i_b(ji) * dh_i_bott(ji) |
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| 539 | ! !new ice thickness |
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| 540 | zhgnew (ji) = ht_i_b(ji) + dh_i_surf(ji) + dh_i_bott(ji) |
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| 541 | ! ! diagnostic ( bottom ice growth ) |
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| 542 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
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| 543 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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| 544 | diag_bot_gr(zji,zjj) = diag_bot_gr(zji,zjj) + MAX(dh_i_bott(ji),0.0)*a_i_b(ji) / rdt_ice |
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| 545 | diag_sur_me(zji,zjj) = diag_sur_me(zji,zjj) + MIN(dh_i_surf(ji),0.0)*a_i_b(ji) / rdt_ice |
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| 546 | diag_bot_me(zji,zjj) = diag_bot_me(zji,zjj) + MIN(dh_i_bott(ji),0.0)*a_i_b(ji) / rdt_ice |
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[825] | 547 | END DO |
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| 548 | |
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[834] | 549 | !----------------------------------- |
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| 550 | ! 5.2 More than available ice melts |
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| 551 | !----------------------------------- |
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[825] | 552 | ! then heat applied minus heat content at previous time step |
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| 553 | ! should equal heat remaining |
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| 554 | ! |
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| 555 | DO ji = kideb, kiut |
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| 556 | ! Adapt the remaining energy if too much ice melts |
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| 557 | !-------------------------------------------------- |
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| 558 | zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) !1 if ice |
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| 559 | ! 0 if no more ice |
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[1572] | 560 | zhgnew (ji) = zihgnew * zhgnew(ji) ! ice thickness is put to 0 |
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[825] | 561 | ! remaining heat |
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[834] | 562 | zfdt_final(ji) = ( 1.0 - zihgnew ) * ( zqfont_su(ji) + zqfont_bo(ji) ) |
---|
[825] | 563 | |
---|
| 564 | ! If snow remains, energy is used to melt snow |
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[1572] | 565 | zhni = ht_s_b(ji) ! snow depth at previous time step |
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| 566 | zihg = MAX( zzero , SIGN ( zone , - ht_s_b(ji) ) ) ! 0 if snow |
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[825] | 567 | |
---|
| 568 | ! energy of melting of remaining snow |
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[1572] | 569 | zqt_s(ji) = ( 1. - zihg ) * zqt_s(ji) / MAX( zhni, epsi13 ) |
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| 570 | zdhnm = - ( 1. - zihg ) * ( 1. - zihgnew ) * zfdt_final(ji) / MAX( zqt_s(ji) , epsi13 ) |
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[825] | 571 | zhnfi = zhni + zdhnm |
---|
[1572] | 572 | zfdt_final(ji) = MAX( zfdt_final(ji) + zqt_s(ji) * zdhnm , 0.0 ) |
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[825] | 573 | ht_s_b(ji) = MAX( zzero , zhnfi ) |
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| 574 | zqt_s(ji) = zqt_s(ji) * ht_s_b(ji) |
---|
| 575 | |
---|
| 576 | ! Mass variations of ice and snow |
---|
| 577 | !--------------------------------- |
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[1572] | 578 | ! ! mass variation of the jl category |
---|
[1571] | 579 | zzfmass_s = - a_i_b(ji) * ( zhni - ht_s_b(ji) ) * rhosn ! snow |
---|
| 580 | zzfmass_i = a_i_b(ji) * ( zhgnew(ji) - ht_i_b(ji) ) * rhoic ! ice |
---|
| 581 | ! |
---|
| 582 | zfmass_i(ji) = zzfmass_i ! ice variation saved to compute salt flux (see below) |
---|
| 583 | ! |
---|
| 584 | ! ! mass variation cumulated over category |
---|
| 585 | rdmsnif_1d(ji) = rdmsnif_1d(ji) + zzfmass_s ! snow |
---|
| 586 | rdmicif_1d(ji) = rdmicif_1d(ji) + zzfmass_i ! ice |
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[825] | 587 | |
---|
| 588 | ! Remaining heat to the ocean |
---|
| 589 | !--------------------------------- |
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[1572] | 590 | focea(ji) = - zfdt_final(ji) / rdt_ice ! focea is in W.m-2 * dt |
---|
[825] | 591 | |
---|
| 592 | END DO |
---|
| 593 | |
---|
| 594 | ftotal_fin (:) = zfdt_final(:) / rdt_ice |
---|
| 595 | |
---|
| 596 | !--------------------------- |
---|
| 597 | ! Salt flux and heat fluxes |
---|
| 598 | !--------------------------- |
---|
| 599 | DO ji = kideb, kiut |
---|
[1572] | 600 | zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) !1 if ice |
---|
[825] | 601 | |
---|
| 602 | ! Salt flux |
---|
[1572] | 603 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
---|
| 604 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
---|
[825] | 605 | ! new lines |
---|
[1572] | 606 | IF( num_sal == 4 ) THEN |
---|
| 607 | fseqv_1d(ji) = fseqv_1d(ji) + zihgnew * zfsalt_melt(ji) & |
---|
| 608 | & + (1.0 - zihgnew) * zfmass_i(ji) * ( sss_m(zji,zjj) - bulk_sal ) / rdt_ice |
---|
| 609 | ELSE |
---|
| 610 | fseqv_1d(ji) = fseqv_1d(ji) + zihgnew * zfsalt_melt(ji) & |
---|
| 611 | & + (1.0 - zihgnew) * zfmass_i(ji) * ( sss_m(zji,zjj) - sm_i_b(ji) ) / rdt_ice |
---|
| 612 | ENDIF |
---|
[825] | 613 | ! Heat flux |
---|
| 614 | ! excessive bottom ablation energy (fsup) - 0 except if jpl = 1 |
---|
| 615 | ! excessive total ablation energy (focea) sent to the ocean |
---|
[1572] | 616 | qfvbq_1d(ji) = qfvbq_1d(ji) + fsup(ji) + ( 1.0 - zihgnew ) * focea(ji) * a_i_b(ji) * rdt_ice |
---|
[825] | 617 | |
---|
| 618 | zihic = 1.0 - MAX( zzero , SIGN( zone , -ht_i_b(ji) ) ) |
---|
| 619 | ! equals 0 if ht_i = 0, 1 if ht_i gt 0 |
---|
| 620 | fscbq_1d(ji) = a_i_b(ji) * fstbif_1d(ji) |
---|
[1572] | 621 | qldif_1d(ji) = qldif_1d(ji) + fsup(ji) + ( 1.0 - zihgnew ) * focea(ji) * a_i_b(ji) * rdt_ice & |
---|
| 622 | & + ( 1.0 - zihic ) * fscbq_1d(ji) * rdt_ice |
---|
[825] | 623 | END DO ! ji |
---|
| 624 | |
---|
| 625 | !------------------------------------------- |
---|
| 626 | ! Correct temperature, energy and thickness |
---|
| 627 | !------------------------------------------- |
---|
| 628 | DO ji = kideb, kiut |
---|
[1572] | 629 | zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) |
---|
| 630 | t_su_b(ji) = zihgnew * t_su_b(ji) + ( 1.0 - zihgnew ) * rtt |
---|
[825] | 631 | END DO ! ji |
---|
| 632 | |
---|
| 633 | DO jk = 1, nlay_i |
---|
| 634 | DO ji = kideb, kiut |
---|
[1572] | 635 | zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) |
---|
| 636 | t_i_b(ji,jk) = zihgnew * t_i_b(ji,jk) + ( 1.0 - zihgnew ) * rtt |
---|
| 637 | q_i_b(ji,jk) = zihgnew * q_i_b(ji,jk) |
---|
[825] | 638 | END DO |
---|
| 639 | END DO ! ji |
---|
| 640 | |
---|
| 641 | DO ji = kideb, kiut |
---|
| 642 | ht_i_b(ji) = zhgnew(ji) |
---|
| 643 | END DO ! ji |
---|
[921] | 644 | ! |
---|
| 645 | !------------------------------------------------------------------------------| |
---|
| 646 | ! 6) Snow-Ice formation | |
---|
| 647 | !------------------------------------------------------------------------------| |
---|
[1572] | 648 | ! When snow load excesses Archimede's limit, snow-ice interface goes down under sea-level, |
---|
| 649 | ! flooding of seawater transforms snow into ice dh_snowice is positive for the ice |
---|
[825] | 650 | DO ji = kideb, kiut |
---|
[1572] | 651 | ! |
---|
| 652 | dh_snowice(ji) = MAX( zzero , ( rhosn * ht_s_b(ji) + (rhoic-rau0) * ht_i_b(ji) ) / ( rhosn+rau0-rhoic ) ) |
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| 653 | zhgnew(ji) = MAX( zhgnew(ji) , zhgnew(ji) + dh_snowice(ji) ) |
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| 654 | zhnnew = MIN( ht_s_b(ji) , ht_s_b(ji) - dh_snowice(ji) ) |
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[825] | 655 | |
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[921] | 656 | ! Changes in ice volume and ice mass. |
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[1572] | 657 | dvnbq_1d (ji) = a_i_b(ji) * ( zhgnew(ji)-ht_i_b(ji) ) |
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| 658 | dmgwi_1d (ji) = dmgwi_1d(ji) + a_i_b(ji) * ( ht_s_b(ji) - zhnnew ) * rhosn |
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[825] | 659 | |
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[1572] | 660 | rdmicif_1d(ji) = rdmicif_1d(ji) + a_i_b(ji) * ( zhgnew(ji) - ht_i_b(ji) ) * rhoic |
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| 661 | rdmsnif_1d(ji) = rdmsnif_1d(ji) + a_i_b(ji) * ( zhnnew - ht_s_b(ji) ) * rhosn |
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[825] | 662 | |
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[921] | 663 | ! Equivalent salt flux (1) Snow-ice formation component |
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| 664 | ! ----------------------------------------------------- |
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[1572] | 665 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
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| 666 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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[825] | 667 | |
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[1572] | 668 | IF( num_sal /= 2 ) THEN ; zsm_snowice = sm_i_b(ji) |
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| 669 | ELSE ; zsm_snowice = ( rhoic - rhosn ) / rhoic * sss_m(zji,zjj) |
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| 670 | ENDIF |
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| 671 | IF( num_sal == 4 ) THEN |
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| 672 | fseqv_1d(ji) = fseqv_1d(ji) + ( sss_m(zji,zjj) - bulk_sal ) * a_i_b(ji) & |
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| 673 | & * ( zhgnew(ji) - ht_i_b(ji) ) * rhoic / rdt_ice |
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| 674 | ELSE |
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| 675 | fseqv_1d(ji) = fseqv_1d(ji) + ( sss_m(zji,zjj) - zsm_snowice ) * a_i_b(ji) & |
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| 676 | & * ( zhgnew(ji) - ht_i_b(ji) ) * rhoic / rdt_ice |
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| 677 | ENDIF |
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[825] | 678 | ! entrapment during snow ice formation |
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[1572] | 679 | i_ice_switch = 1.0 - MAX( 0.e0 , SIGN( 1.0 , - ht_i_b(ji) + 1.0e-6 ) ) |
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| 680 | isnowic = 1.0 - MAX( 0.e0 , SIGN( 1.0 , - dh_snowice(ji) ) ) * i_ice_switch |
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| 681 | IF( num_sal == 2 .OR. num_sal == 4 ) & |
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| 682 | dsm_i_si_1d(ji) = ( zsm_snowice*dh_snowice(ji) & |
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| 683 | & + sm_i_b(ji) * ht_i_b(ji) / MAX( ht_i_b(ji) + dh_snowice(ji), epsi13) & |
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| 684 | & - sm_i_b(ji) ) * isnowic |
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[825] | 685 | |
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[921] | 686 | ! Actualize new snow and ice thickness. |
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[825] | 687 | ht_s_b(ji) = zhnnew |
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| 688 | ht_i_b(ji) = zhgnew(ji) |
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| 689 | |
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| 690 | ! Total ablation ! new lines added to debug |
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[1572] | 691 | IF( ht_i_b(ji) <= 0.e0 ) a_i_b(ji) = 0.0 |
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[825] | 692 | |
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| 693 | ! diagnostic ( snow ice growth ) |
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[1572] | 694 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
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| 695 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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| 696 | diag_sni_gr(zji,zjj) = diag_sni_gr(zji,zjj) + dh_snowice(ji)*a_i_b(ji) / rdt_ice |
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| 697 | ! |
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[825] | 698 | END DO !ji |
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| 699 | |
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[921] | 700 | END SUBROUTINE lim_thd_dh |
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[1572] | 701 | |
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[825] | 702 | #else |
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[1572] | 703 | !!---------------------------------------------------------------------- |
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| 704 | !! Default option NO LIM3 sea-ice model |
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| 705 | !!---------------------------------------------------------------------- |
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[825] | 706 | CONTAINS |
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| 707 | SUBROUTINE lim_thd_dh ! Empty routine |
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| 708 | END SUBROUTINE lim_thd_dh |
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| 709 | #endif |
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[1572] | 710 | |
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| 711 | !!====================================================================== |
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[921] | 712 | END MODULE limthd_dh |
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