[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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[2715] | 9 | !! 4.0 ! 2011-02 (G. Madec) dynamical allocation |
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[1572] | 10 | !!---------------------------------------------------------------------- |
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[825] | 11 | #if defined key_lim3 |
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[834] | 12 | !!---------------------------------------------------------------------- |
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| 13 | !! 'key_lim3' LIM3 sea-ice model |
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| 14 | !!---------------------------------------------------------------------- |
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[1572] | 15 | !! lim_thd_dh : vertical accr./abl. and lateral ablation of sea ice |
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[825] | 16 | !!---------------------------------------------------------------------- |
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| 17 | USE par_oce ! ocean parameters |
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| 18 | USE phycst ! physical constants (OCE directory) |
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[888] | 19 | USE sbc_oce ! Surface boundary condition: ocean fields |
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[2715] | 20 | USE ice ! LIM variables |
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| 21 | USE par_ice ! LIM parameters |
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| 22 | USE thd_ice ! LIM thermodynamics |
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| 23 | USE in_out_manager ! I/O manager |
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| 24 | USE lib_mpp ! MPP library |
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[3294] | 25 | USE wrk_nemo ! work arrays |
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[3938] | 26 | USE lib_fortran ! to use key_nosignedzero |
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[921] | 27 | |
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[825] | 28 | IMPLICIT NONE |
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| 29 | PRIVATE |
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| 30 | |
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[1572] | 31 | PUBLIC lim_thd_dh ! called by lim_thd |
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[825] | 32 | |
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[1572] | 33 | REAL(wp) :: epsi20 = 1e-20 ! constant values |
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| 34 | REAL(wp) :: epsi13 = 1e-13 ! |
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| 35 | REAL(wp) :: epsi16 = 1e-16 ! |
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| 36 | REAL(wp) :: zzero = 0.e0 ! |
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| 37 | REAL(wp) :: zone = 1.e0 ! |
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[825] | 38 | |
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| 39 | !!---------------------------------------------------------------------- |
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[2715] | 40 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2010) |
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[1156] | 41 | !! $Id$ |
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[2715] | 42 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[825] | 43 | !!---------------------------------------------------------------------- |
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| 44 | CONTAINS |
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| 45 | |
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[2715] | 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 :: iter |
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[825] | 76 | |
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[3938] | 77 | REAL(wp) :: isnow ! switch for presence (1) or absence (0) of snow |
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| 78 | REAL(wp) :: isnowic ! snow ice formation not |
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| 79 | REAL(wp) :: i_ice_switch ! ice thickness above a certain treshold or not |
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| 80 | |
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[2715] | 81 | REAL(wp) :: zzfmass_i, zihgnew ! local scalar |
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| 82 | REAL(wp) :: zzfmass_s, zhsnew, ztmelts ! local scalar |
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[1572] | 83 | REAL(wp) :: zhn, zdhcf, zdhbf, zhni, zhnfi, zihg ! |
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[2715] | 84 | REAL(wp) :: zdhnm, zhnnew, zhisn, zihic, zzc ! |
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[1572] | 85 | REAL(wp) :: zfracs ! fractionation coefficient for bottom salt entrapment |
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| 86 | REAL(wp) :: zds ! increment of bottom ice salinity |
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| 87 | REAL(wp) :: zcoeff ! dummy argument for snowfall partitioning over ice and leads |
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| 88 | REAL(wp) :: zsm_snowice ! snow-ice salinity |
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| 89 | REAL(wp) :: zswi1 ! switch for computation of bottom salinity |
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| 90 | REAL(wp) :: zswi12 ! switch for computation of bottom salinity |
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| 91 | REAL(wp) :: zswi2 ! switch for computation of bottom salinity |
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| 92 | REAL(wp) :: zgrr ! bottom growth rate |
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| 93 | REAL(wp) :: ztform ! bottom formation temperature |
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[2715] | 94 | ! |
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[3294] | 95 | REAL(wp), POINTER, DIMENSION(:) :: zh_i ! ice layer thickness |
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| 96 | REAL(wp), POINTER, DIMENSION(:) :: zh_s ! snow layer thickness |
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| 97 | REAL(wp), POINTER, DIMENSION(:) :: ztfs ! melting point |
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| 98 | REAL(wp), POINTER, DIMENSION(:) :: zhsold ! old snow thickness |
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| 99 | REAL(wp), POINTER, DIMENSION(:) :: zqprec ! energy of fallen snow |
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| 100 | REAL(wp), POINTER, DIMENSION(:) :: zqfont_su ! incoming, remaining surface energy |
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| 101 | REAL(wp), POINTER, DIMENSION(:) :: zqfont_bo ! incoming, bottom energy |
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| 102 | REAL(wp), POINTER, DIMENSION(:) :: z_f_surf ! surface heat for ablation |
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| 103 | REAL(wp), POINTER, DIMENSION(:) :: zhgnew ! new ice thickness |
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| 104 | REAL(wp), POINTER, DIMENSION(:) :: zfmass_i ! |
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| 105 | |
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| 106 | REAL(wp), POINTER, DIMENSION(:) :: zdh_s_mel ! snow melt |
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| 107 | REAL(wp), POINTER, DIMENSION(:) :: zdh_s_pre ! snow precipitation |
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| 108 | REAL(wp), POINTER, DIMENSION(:) :: zdh_s_sub ! snow sublimation |
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| 109 | REAL(wp), POINTER, DIMENSION(:) :: zfsalt_melt ! salt flux due to ice melt |
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| 110 | |
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| 111 | REAL(wp), POINTER, DIMENSION(:,:) :: zdeltah |
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| 112 | |
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| 113 | ! Pathological cases |
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| 114 | REAL(wp), POINTER, DIMENSION(:) :: zfdt_init ! total incoming heat for ice melt |
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| 115 | REAL(wp), POINTER, DIMENSION(:) :: zfdt_final ! total remaing heat for ice melt |
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| 116 | REAL(wp), POINTER, DIMENSION(:) :: zqt_i ! total ice heat content |
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| 117 | REAL(wp), POINTER, DIMENSION(:) :: zqt_s ! total snow heat content |
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| 118 | REAL(wp), POINTER, DIMENSION(:) :: zqt_dummy ! dummy heat content |
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| 119 | |
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| 120 | REAL(wp), POINTER, DIMENSION(:,:) :: zqt_i_lay ! total ice heat content |
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| 121 | |
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[3938] | 122 | ! mass and salt flux (clem) |
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[3963] | 123 | REAL(wp) :: zdvres, zdvsur, zdvbot |
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[3938] | 124 | REAL(wp), POINTER, DIMENSION(:) :: zviold, zvsold ! old ice volume... |
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| 125 | |
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[3294] | 126 | ! Heat conservation |
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| 127 | INTEGER :: num_iter_max, numce_dh |
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| 128 | REAL(wp) :: meance_dh |
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| 129 | REAL(wp), POINTER, DIMENSION(:) :: zinnermelt |
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| 130 | REAL(wp), POINTER, DIMENSION(:) :: zfbase, zdq_i |
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[1572] | 131 | !!------------------------------------------------------------------ |
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[825] | 132 | |
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[3294] | 133 | CALL wrk_alloc( jpij, zh_i, zh_s, ztfs, zhsold, zqprec, zqfont_su, zqfont_bo, z_f_surf, zhgnew, zfmass_i ) |
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| 134 | CALL wrk_alloc( jpij, zdh_s_mel, zdh_s_pre, zdh_s_sub, zfsalt_melt, zfdt_init, zfdt_final, zqt_i, zqt_s, zqt_dummy ) |
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| 135 | CALL wrk_alloc( jpij, zinnermelt, zfbase, zdq_i ) |
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| 136 | CALL wrk_alloc( jpij, jkmax, zdeltah, zqt_i_lay ) |
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[825] | 137 | |
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[3938] | 138 | CALL wrk_alloc( jpij, zviold, zvsold ) ! clem |
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| 139 | |
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[2715] | 140 | zfsalt_melt(:) = 0._wp |
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| 141 | ftotal_fin(:) = 0._wp |
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| 142 | zfdt_init(:) = 0._wp |
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| 143 | zfdt_final(:) = 0._wp |
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[3938] | 144 | dh_i_surf(:) = 0._wp |
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| 145 | dh_i_bott(:) = 0._wp |
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| 146 | dh_snowice(:) = 0._wp |
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[2715] | 147 | |
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[825] | 148 | DO ji = kideb, kiut |
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| 149 | old_ht_i_b(ji) = ht_i_b(ji) |
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| 150 | old_ht_s_b(ji) = ht_s_b(ji) |
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[3938] | 151 | zviold(ji) = a_i_b(ji) * ht_i_b(ji) ! clem |
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| 152 | zvsold(ji) = a_i_b(ji) * ht_s_b(ji) ! clem |
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[825] | 153 | END DO |
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[921] | 154 | ! |
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| 155 | !------------------------------------------------------------------------------! |
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| 156 | ! 1) Calculate available heat for surface ablation ! |
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| 157 | !------------------------------------------------------------------------------! |
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| 158 | ! |
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[2715] | 159 | DO ji = kideb, kiut |
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[3938] | 160 | isnow = 1.0 - MAX ( 0.0 , SIGN ( 1.0 , - ht_s_b(ji) ) ) |
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[825] | 161 | ztfs(ji) = isnow * rtt + ( 1.0 - isnow ) * rtt |
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[1572] | 162 | z_f_surf(ji) = qnsr_ice_1d(ji) + ( 1.0 - i0(ji) ) * qsr_ice_1d(ji) - fc_su(ji) |
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| 163 | z_f_surf(ji) = MAX( zzero , z_f_surf(ji) ) * MAX( zzero , SIGN( zone , t_su_b(ji) - ztfs(ji) ) ) |
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| 164 | 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] | 165 | END DO ! ji |
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| 166 | |
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[2715] | 167 | zqfont_su (:) = 0._wp |
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| 168 | zqfont_bo (:) = 0._wp |
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| 169 | dsm_i_se_1d(:) = 0._wp |
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| 170 | dsm_i_si_1d(:) = 0._wp |
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[921] | 171 | ! |
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| 172 | !------------------------------------------------------------------------------! |
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| 173 | ! 2) Computing layer thicknesses and snow and sea-ice enthalpies. ! |
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| 174 | !------------------------------------------------------------------------------! |
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| 175 | ! |
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[2715] | 176 | DO ji = kideb, kiut ! Layer thickness |
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[3938] | 177 | zh_i(ji) = ht_i_b(ji) / REAL( nlay_i ) |
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| 178 | zh_s(ji) = ht_s_b(ji) / REAL( nlay_s ) |
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[825] | 179 | END DO |
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[2715] | 180 | ! |
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| 181 | zqt_s(:) = 0._wp ! Total enthalpy of the snow |
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[825] | 182 | DO jk = 1, nlay_s |
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[2715] | 183 | DO ji = kideb, kiut |
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[3938] | 184 | zqt_s(ji) = zqt_s(ji) + q_s_b(ji,jk) * ht_s_b(ji) / REAL( nlay_s ) |
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[825] | 185 | END DO |
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| 186 | END DO |
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[2715] | 187 | ! |
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| 188 | zqt_i(:) = 0._wp ! Total enthalpy of the ice |
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[825] | 189 | DO jk = 1, nlay_i |
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[2715] | 190 | DO ji = kideb, kiut |
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[3938] | 191 | zzc = q_i_b(ji,jk) * ht_i_b(ji) / REAL( nlay_i ) |
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[2715] | 192 | zqt_i(ji) = zqt_i(ji) + zzc |
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| 193 | zqt_i_lay(ji,jk) = zzc |
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[825] | 194 | END DO |
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| 195 | END DO |
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[921] | 196 | ! |
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| 197 | !------------------------------------------------------------------------------| |
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| 198 | ! 3) Surface ablation and sublimation | |
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| 199 | !------------------------------------------------------------------------------| |
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| 200 | ! |
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[834] | 201 | !------------------------- |
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| 202 | ! 3.1 Snow precips / melt |
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| 203 | !------------------------- |
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[825] | 204 | ! Snow accumulation in one thermodynamic time step |
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| 205 | ! snowfall is partitionned between leads and ice |
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| 206 | ! if snow fall was uniform, a fraction (1-at_i) would fall into leads |
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| 207 | ! but because of the winds, more snow falls on leads than on sea ice |
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| 208 | ! and a greater fraction (1-at_i)^beta of the total mass of snow |
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[834] | 209 | ! (beta < 1) falls in leads. |
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[825] | 210 | ! In reality, beta depends on wind speed, |
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| 211 | ! and should decrease with increasing wind speed but here, it is |
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[834] | 212 | ! considered as a constant. an average value is 0.66 |
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[825] | 213 | ! Martin Vancoppenolle, December 2006 |
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| 214 | |
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| 215 | ! Snow fall |
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| 216 | DO ji = kideb, kiut |
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| 217 | zcoeff = ( 1.0 - ( 1.0 - at_i_b(ji) )**betas ) / at_i_b(ji) |
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| 218 | zdh_s_pre(ji) = zcoeff * sprecip_1d(ji) * rdt_ice / rhosn |
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| 219 | END DO |
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[2715] | 220 | zdh_s_mel(:) = 0._wp |
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[825] | 221 | |
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| 222 | ! Melt of fallen snow |
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| 223 | DO ji = kideb, kiut |
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| 224 | ! tatm_ice is now in K |
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[1572] | 225 | zqprec (ji) = rhosn * ( cpic * ( rtt - tatm_ice_1d(ji) ) + lfus ) |
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| 226 | zqfont_su(ji) = z_f_surf(ji) * rdt_ice |
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| 227 | zdeltah (ji,1) = MIN( 0.e0 , - zqfont_su(ji) / MAX( zqprec(ji) , epsi13 ) ) |
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| 228 | zqfont_su(ji) = MAX( 0.e0 , - zdh_s_pre(ji) - zdeltah(ji,1) ) * zqprec(ji) |
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| 229 | zdeltah (ji,1) = MAX( - zdh_s_pre(ji) , zdeltah(ji,1) ) |
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| 230 | zdh_s_mel(ji) = zdh_s_mel(ji) + zdeltah(ji,1) |
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[825] | 231 | ! heat conservation |
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[1572] | 232 | qt_s_in(ji,jl) = qt_s_in(ji,jl) + zqprec(ji) * zdh_s_pre(ji) |
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| 233 | zqt_s (ji) = zqt_s (ji) + zqprec(ji) * zdh_s_pre(ji) |
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| 234 | zqt_s (ji) = MAX( zqt_s(ji) - zqfont_su(ji) , 0.e0 ) |
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[825] | 235 | END DO |
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| 236 | |
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| 237 | |
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| 238 | ! Snow melt due to surface heat imbalance |
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| 239 | DO jk = 1, nlay_s |
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| 240 | DO ji = kideb, kiut |
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[1572] | 241 | zdeltah (ji,jk) = - zqfont_su(ji) / q_s_b(ji,jk) |
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| 242 | zqfont_su(ji) = MAX( 0.0 , - zh_s(ji) - zdeltah(ji,jk) ) * q_s_b(ji,jk) |
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| 243 | zdeltah (ji,jk) = MAX( zdeltah(ji,jk) , - zh_s(ji) ) |
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| 244 | zdh_s_mel(ji) = zdh_s_mel(ji) + zdeltah(ji,jk) ! resulting melt of snow |
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[825] | 245 | END DO |
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| 246 | END DO |
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| 247 | |
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| 248 | ! Apply snow melt to snow depth |
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| 249 | DO ji = kideb, kiut |
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| 250 | dh_s_tot(ji) = zdh_s_mel(ji) + zdh_s_pre(ji) |
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| 251 | ! Old and new snow depths |
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| 252 | zhsold(ji) = ht_s_b(ji) |
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| 253 | zhsnew = ht_s_b(ji) + dh_s_tot(ji) |
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| 254 | ! If snow is still present zhn = 1, else zhn = 0 |
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| 255 | zhn = 1.0 - MAX( zzero , SIGN( zone , - zhsnew ) ) |
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| 256 | ht_s_b(ji) = MAX( zzero , zhsnew ) |
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[3963] | 257 | ! we recompute dh_s_tot (clem) |
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| 258 | dh_s_tot (ji) = ht_s_b(ji) - zhsold(ji) |
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[825] | 259 | ! Volume and mass variations of snow |
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[3938] | 260 | ! dvsbq_1d (ji) = a_i_b(ji) * ( ht_s_b(ji) - zhsold(ji) - zdh_s_mel(ji) ) |
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| 261 | dvsbq_1d (ji) = a_i_b(ji) * ( ht_s_b(ji) - zhsold(ji) - zdh_s_pre(ji) ) ! IOVINO |
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[1572] | 262 | dvsbq_1d (ji) = MIN( zzero, dvsbq_1d(ji) ) |
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[3938] | 263 | !clem rdmsnif_1d(ji) = rdmsnif_1d(ji) + rhosn * dvsbq_1d(ji) |
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[825] | 264 | END DO ! ji |
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| 265 | |
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[834] | 266 | !-------------------------- |
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| 267 | ! 3.2 Surface ice ablation |
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| 268 | !-------------------------- |
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[825] | 269 | DO ji = kideb, kiut |
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[1572] | 270 | z_f_surf (ji) = zqfont_su(ji) / rdt_ice ! heat conservation test |
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[2715] | 271 | zdq_i (ji) = 0._wp |
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[825] | 272 | END DO ! ji |
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| 273 | |
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| 274 | DO jk = 1, nlay_i |
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| 275 | DO ji = kideb, kiut |
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[1572] | 276 | ! ! melt of layer jk |
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| 277 | zdeltah (ji,jk) = - zqfont_su(ji) / q_i_b(ji,jk) |
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| 278 | ! ! recompute heat available |
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| 279 | zqfont_su(ji) = MAX( 0.0 , - zh_i(ji) - zdeltah(ji,jk) ) * q_i_b(ji,jk) |
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| 280 | ! ! melt of layer jk cannot be higher than its thickness |
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| 281 | zdeltah (ji,jk) = MAX( zdeltah(ji,jk) , - zh_i(ji) ) |
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| 282 | ! ! update surface melt |
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| 283 | dh_i_surf(ji) = dh_i_surf(ji) + zdeltah(ji,jk) |
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| 284 | ! ! for energy conservation |
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| 285 | zdq_i (ji) = zdq_i(ji) + zdeltah(ji,jk) * q_i_b(ji,jk) / rdt_ice |
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| 286 | ! |
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[3963] | 287 | ! clem |
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[3938] | 288 | fseqv_1d(ji) = fseqv_1d(ji) - sm_i_b(ji) * a_i_b(ji) & |
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| 289 | & * MIN( zdeltah(ji,jk) , 0._wp ) * rhoic / rdt_ice |
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[3963] | 290 | ! fseqv_1d(ji) = fseqv_1d(ji) - sm_i_b(ji) * a_i_b(ji) * zdeltah(ji,jk) * rhoic / rdt_ice |
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[1572] | 291 | END DO |
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| 292 | END DO |
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[825] | 293 | |
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[1572] | 294 | ! !------------------- |
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| 295 | IF( con_i ) THEN ! Conservation test |
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| 296 | ! !------------------- |
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| 297 | numce_dh = 0 |
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[2715] | 298 | meance_dh = 0._wp |
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[921] | 299 | DO ji = kideb, kiut |
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| 300 | IF ( ( z_f_surf(ji) + zdq_i(ji) ) .GE. 1.0e-3 ) THEN |
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| 301 | numce_dh = numce_dh + 1 |
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| 302 | meance_dh = meance_dh + z_f_surf(ji) + zdq_i(ji) |
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| 303 | ENDIF |
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[1572] | 304 | IF( z_f_surf(ji) + zdq_i(ji) .GE. 1.0e-3 ) THEN! |
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[921] | 305 | WRITE(numout,*) ' ALERTE heat loss for surface melt ' |
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| 306 | WRITE(numout,*) ' zji, zjj, jl :', zji, zjj, jl |
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[2715] | 307 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
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| 308 | WRITE(numout,*) ' z_f_surf : ', z_f_surf(ji) |
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| 309 | WRITE(numout,*) ' zdq_i : ', zdq_i(ji) |
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| 310 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
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| 311 | WRITE(numout,*) ' fc_bo_i : ', fc_bo_i(ji) |
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| 312 | WRITE(numout,*) ' fbif_1d : ', fbif_1d(ji) |
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| 313 | WRITE(numout,*) ' qlbbq_1d : ', qlbbq_1d(ji) |
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| 314 | WRITE(numout,*) ' s_i_new : ', s_i_new(ji) |
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| 315 | WRITE(numout,*) ' sss_m : ', sss_m(zji,zjj) |
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[921] | 316 | ENDIF |
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[1572] | 317 | END DO |
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| 318 | ! |
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| 319 | IF( numce_dh > 0 ) meance_dh = meance_dh / numce_dh |
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[921] | 320 | WRITE(numout,*) ' Error report - Category : ', jl |
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| 321 | WRITE(numout,*) ' ~~~~~~~~~~~~ ' |
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| 322 | WRITE(numout,*) ' Number of points where there is sur. me. error : ', numce_dh |
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| 323 | WRITE(numout,*) ' Mean basal growth error on error points : ', meance_dh |
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[1572] | 324 | ! |
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| 325 | ENDIF |
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[825] | 326 | |
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[834] | 327 | !---------------------- |
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| 328 | ! 3.3 Snow sublimation |
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| 329 | !---------------------- |
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[825] | 330 | |
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| 331 | DO ji = kideb, kiut |
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| 332 | ! if qla is positive (upwards), heat goes to the atmosphere, therefore |
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| 333 | ! snow sublimates, if qla is negative (downwards), snow condensates |
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[1572] | 334 | zdh_s_sub(ji) = - parsub * qla_ice_1d(ji) / ( rhosn * lsub ) * rdt_ice |
---|
| 335 | dh_s_tot (ji) = dh_s_tot(ji) + zdh_s_sub(ji) |
---|
| 336 | zdhcf = ht_s_b(ji) + zdh_s_sub(ji) |
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| 337 | ht_s_b (ji) = MAX( zzero , zdhcf ) |
---|
[825] | 338 | ! we recompute dh_s_tot |
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[1572] | 339 | dh_s_tot (ji) = ht_s_b(ji) - zhsold(ji) |
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| 340 | qt_s_in (ji,jl) = qt_s_in(ji,jl) + zdh_s_sub(ji)*q_s_b(ji,1) |
---|
| 341 | END DO |
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[825] | 342 | |
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[1572] | 343 | zqt_dummy(:) = 0.e0 |
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[825] | 344 | DO jk = 1, nlay_s |
---|
| 345 | DO ji = kideb,kiut |
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[1572] | 346 | q_s_b (ji,jk) = rhosn * ( cpic * ( rtt - t_s_b(ji,jk) ) + lfus ) |
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[3938] | 347 | zqt_dummy(ji) = zqt_dummy(ji) + q_s_b(ji,jk) * ht_s_b(ji) / REAL( nlay_s ) ! heat conservation |
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[825] | 348 | END DO |
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| 349 | END DO |
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| 350 | |
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[1572] | 351 | DO jk = 1, nlay_s |
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| 352 | DO ji = kideb, kiut |
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| 353 | ! In case of disparition of the snow, we have to update the snow temperatures |
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[825] | 354 | zhisn = MAX( zzero , SIGN( zone, - ht_s_b(ji) ) ) |
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| 355 | t_s_b(ji,jk) = ( 1.0 - zhisn ) * t_s_b(ji,jk) + zhisn * rtt |
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| 356 | q_s_b(ji,jk) = ( 1.0 - zhisn ) * q_s_b(ji,jk) |
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| 357 | END DO |
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[921] | 358 | END DO |
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[825] | 359 | |
---|
[921] | 360 | ! |
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| 361 | !------------------------------------------------------------------------------! |
---|
| 362 | ! 4) Basal growth / melt ! |
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| 363 | !------------------------------------------------------------------------------! |
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| 364 | ! |
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[825] | 365 | ! Ice basal growth / melt is given by the ratio of heat budget over basal |
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| 366 | ! ice heat content. Basal heat budget is given by the difference between |
---|
| 367 | ! the inner conductive flux (fc_bo_i), from the open water heat flux |
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| 368 | ! (qlbbqb) and the turbulent ocean flux (fbif). |
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[834] | 369 | ! fc_bo_i is positive downwards. fbif and qlbbq are positive to the ice |
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[825] | 370 | |
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[834] | 371 | !----------------------------------------------------- |
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| 372 | ! 4.1 Basal growth - (a) salinity not varying in time |
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| 373 | !----------------------------------------------------- |
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[1572] | 374 | IF( num_sal /= 2 .AND. num_sal /= 4 ) THEN |
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[825] | 375 | DO ji = kideb, kiut |
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[1572] | 376 | IF( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) < 0.0 ) THEN |
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[825] | 377 | s_i_new(ji) = sm_i_b(ji) |
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| 378 | ! Melting point in K |
---|
| 379 | ztmelts = - tmut * s_i_new(ji) + rtt |
---|
| 380 | ! New ice heat content (Bitz and Lipscomb, 1999) |
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| 381 | ztform = t_i_b(ji,nlay_i) ! t_bo_b crashes in the |
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[921] | 382 | ! Baltic |
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[1572] | 383 | q_i_b(ji,nlay_i+1) = rhoic * ( cpic * ( ztmelts - ztform ) & |
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| 384 | & + lfus * ( 1.0 - ( ztmelts - rtt ) / ( ztform - rtt ) ) & |
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| 385 | & - rcp * ( ztmelts - rtt ) ) |
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[825] | 386 | ! Basal growth rate = - F*dt / q |
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[1572] | 387 | dh_i_bott(ji) = - rdt_ice*( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) / q_i_b(ji,nlay_i+1) |
---|
[3938] | 388 | fseqv_1d(ji) = fseqv_1d(ji) - s_i_new(ji) * a_i_b(ji) * dh_i_bott(ji) * rhoic / rdt_ice |
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[1572] | 389 | ENDIF |
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| 390 | END DO |
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| 391 | ENDIF |
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[825] | 392 | |
---|
[834] | 393 | !------------------------------------------------- |
---|
| 394 | ! 4.1 Basal growth - (b) salinity varying in time |
---|
| 395 | !------------------------------------------------- |
---|
[1572] | 396 | IF( num_sal == 2 .OR. num_sal == 4 ) THEN |
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[825] | 397 | ! the growth rate (dh_i_bott) is function of the new ice |
---|
| 398 | ! heat content (q_i_b(nlay_i+1)). q_i_b depends on the new ice |
---|
| 399 | ! salinity (snewice). snewice depends on dh_i_bott |
---|
| 400 | ! it converges quickly, so, no problem |
---|
[834] | 401 | ! See Vancoppenolle et al., OM08 for more info on this |
---|
[825] | 402 | |
---|
| 403 | ! Initial value (tested 1D, can be anything between 1 and 20) |
---|
| 404 | num_iter_max = 4 |
---|
[1572] | 405 | s_i_new(:) = 4.0 |
---|
[825] | 406 | |
---|
| 407 | ! Iterative procedure |
---|
| 408 | DO iter = 1, num_iter_max |
---|
| 409 | DO ji = kideb, kiut |
---|
[1572] | 410 | IF( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) < 0.e0 ) THEN |
---|
[825] | 411 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
---|
| 412 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
---|
| 413 | ! Melting point in K |
---|
| 414 | ztmelts = - tmut * s_i_new(ji) + rtt |
---|
| 415 | ! New ice heat content (Bitz and Lipscomb, 1999) |
---|
[1572] | 416 | q_i_b(ji,nlay_i+1) = rhoic * ( cpic * ( ztmelts - t_bo_b(ji) ) & |
---|
| 417 | & + lfus * ( 1.0 - ( ztmelts - rtt ) / ( t_bo_b(ji) - rtt ) ) & |
---|
| 418 | & - rcp * ( ztmelts-rtt ) ) |
---|
[825] | 419 | ! Bottom growth rate = - F*dt / q |
---|
[1572] | 420 | dh_i_bott(ji) = - rdt_ice * ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) / q_i_b(ji,nlay_i+1) |
---|
[825] | 421 | ! New ice salinity ( Cox and Weeks, JGR, 1988 ) |
---|
| 422 | ! zswi2 (1) if dh_i_bott/rdt .GT. 3.6e-7 |
---|
| 423 | ! zswi12 (1) if dh_i_bott/rdt .LT. 3.6e-7 and .GT. 2.0e-8 |
---|
| 424 | ! zswi1 (1) if dh_i_bott/rdt .LT. 2.0e-8 |
---|
[1572] | 425 | zgrr = MIN( 1.0e-3, MAX ( dh_i_bott(ji) / rdt_ice , epsi13 ) ) |
---|
[825] | 426 | zswi2 = MAX( zzero , SIGN( zone , zgrr - 3.6e-7 ) ) |
---|
| 427 | zswi12 = MAX( zzero , SIGN( zone , zgrr - 2.0e-8 ) ) * ( 1.0 - zswi2 ) |
---|
| 428 | zswi1 = 1. - zswi2 * zswi12 |
---|
[1572] | 429 | zfracs = zswi1 * 0.12 + zswi12 * ( 0.8925 + 0.0568 * LOG( 100.0 * zgrr ) ) & |
---|
| 430 | & + zswi2 * 0.26 / ( 0.26 + 0.74 * EXP ( - 724300.0 * zgrr ) ) |
---|
| 431 | zds = zfracs * sss_m(zji,zjj) - s_i_new(ji) |
---|
[888] | 432 | s_i_new(ji) = zfracs * sss_m(zji,zjj) |
---|
[825] | 433 | ENDIF ! fc_bo_i |
---|
| 434 | END DO ! ji |
---|
| 435 | END DO ! iter |
---|
| 436 | |
---|
| 437 | ! Final values |
---|
| 438 | DO ji = kideb, kiut |
---|
[1572] | 439 | IF( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) .LT. 0.0 ) THEN |
---|
[825] | 440 | ! New ice salinity must not exceed 15 psu |
---|
| 441 | s_i_new(ji) = MIN( s_i_new(ji), s_i_max ) |
---|
| 442 | ! Metling point in K |
---|
| 443 | ztmelts = - tmut * s_i_new(ji) + rtt |
---|
| 444 | ! New ice heat content (Bitz and Lipscomb, 1999) |
---|
[1572] | 445 | q_i_b(ji,nlay_i+1) = rhoic * ( cpic * ( ztmelts - t_bo_b(ji) ) & |
---|
| 446 | & + lfus * ( 1.0 - ( ztmelts - rtt ) / ( t_bo_b(ji) - rtt ) ) & |
---|
| 447 | & - rcp * ( ztmelts - rtt ) ) |
---|
[825] | 448 | ! Basal growth rate = - F*dt / q |
---|
[1572] | 449 | dh_i_bott(ji) = - rdt_ice*( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) / q_i_b(ji,nlay_i+1) |
---|
[834] | 450 | ! Salinity update |
---|
[825] | 451 | ! entrapment during bottom growth |
---|
[3963] | 452 | !clem:movedown dsm_i_se_1d(ji) = ( s_i_new(ji) * dh_i_bott(ji) + sm_i_b(ji) * ht_i_b(ji) ) & |
---|
| 453 | !clem:movedown & / MAX( ht_i_b(ji) + dh_i_bott(ji) ,epsi13 ) - sm_i_b(ji) |
---|
[3938] | 454 | fseqv_1d(ji) = fseqv_1d(ji) - s_i_new(ji) * a_i_b(ji) * dh_i_bott(ji) * rhoic / rdt_ice |
---|
[825] | 455 | ENDIF ! heat budget |
---|
[1572] | 456 | END DO |
---|
| 457 | ENDIF |
---|
[825] | 458 | |
---|
[834] | 459 | !---------------- |
---|
| 460 | ! 4.2 Basal melt |
---|
| 461 | !---------------- |
---|
[2715] | 462 | meance_dh = 0._wp |
---|
[1572] | 463 | numce_dh = 0 |
---|
[2715] | 464 | zinnermelt(:) = 0._wp |
---|
[825] | 465 | |
---|
| 466 | DO ji = kideb, kiut |
---|
| 467 | ! heat convergence at the surface > 0 |
---|
[2715] | 468 | IF( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) >= 0._wp ) THEN |
---|
[825] | 469 | s_i_new(ji) = s_i_b(ji,nlay_i) |
---|
| 470 | zqfont_bo(ji) = rdt_ice * ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) |
---|
[2715] | 471 | zfbase(ji) = zqfont_bo(ji) / rdt_ice ! heat conservation test |
---|
| 472 | zdq_i(ji) = 0._wp |
---|
| 473 | dh_i_bott(ji) = 0._wp |
---|
[825] | 474 | ENDIF |
---|
| 475 | END DO |
---|
| 476 | |
---|
| 477 | DO jk = nlay_i, 1, -1 |
---|
| 478 | DO ji = kideb, kiut |
---|
| 479 | IF ( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) .GE. 0.0 ) THEN |
---|
[2715] | 480 | ztmelts = - tmut * s_i_b(ji,jk) + rtt |
---|
| 481 | IF( t_i_b(ji,jk) >= ztmelts ) THEN |
---|
[825] | 482 | zdeltah(ji,jk) = - zh_i(ji) |
---|
| 483 | dh_i_bott(ji) = dh_i_bott(ji) + zdeltah(ji,jk) |
---|
[2715] | 484 | zinnermelt(ji) = 1._wp |
---|
[825] | 485 | ELSE ! normal ablation |
---|
| 486 | zdeltah(ji,jk) = - zqfont_bo(ji) / q_i_b(ji,jk) |
---|
[1572] | 487 | zqfont_bo(ji) = MAX( 0.0 , - zh_i(ji) - zdeltah(ji,jk) ) * q_i_b(ji,jk) |
---|
[825] | 488 | zdeltah(ji,jk) = MAX(zdeltah(ji,jk), - zh_i(ji) ) |
---|
| 489 | dh_i_bott(ji) = dh_i_bott(ji) + zdeltah(ji,jk) |
---|
[1572] | 490 | zdq_i(ji) = zdq_i(ji) + zdeltah(ji,jk) * q_i_b(ji,jk) / rdt_ice |
---|
[825] | 491 | ENDIF |
---|
[3963] | 492 | ! clem |
---|
[3938] | 493 | fseqv_1d(ji) = fseqv_1d(ji) - sm_i_b(ji) * a_i_b(ji) & |
---|
| 494 | & * MIN( zdeltah(ji,jk) , 0._wp ) * rhoic / rdt_ice |
---|
[3963] | 495 | ! fseqv_1d(ji) = fseqv_1d(ji) - sm_i_b(ji) * a_i_b(ji) * zdeltah(ji,jk) * rhoic / rdt_ice |
---|
[825] | 496 | ENDIF |
---|
| 497 | END DO ! ji |
---|
| 498 | END DO ! jk |
---|
| 499 | |
---|
[1572] | 500 | ! !------------------- |
---|
| 501 | IF( con_i ) THEN ! Conservation test |
---|
| 502 | ! !------------------- |
---|
[921] | 503 | DO ji = kideb, kiut |
---|
[1572] | 504 | IF( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) >= 0.e0 ) THEN |
---|
| 505 | IF( ( zfbase(ji) + zdq_i(ji) ) >= 1.e-3 ) THEN |
---|
| 506 | numce_dh = numce_dh + 1 |
---|
[921] | 507 | meance_dh = meance_dh + zfbase(ji) + zdq_i(ji) |
---|
| 508 | ENDIF |
---|
| 509 | IF ( zfbase(ji) + zdq_i(ji) .GE. 1.0e-3 ) THEN |
---|
[2715] | 510 | WRITE(numout,*) ' ALERTE heat loss for basal melt : zji, zjj, jl :', zji, zjj, jl |
---|
| 511 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
---|
| 512 | WRITE(numout,*) ' zfbase : ', zfbase(ji) |
---|
| 513 | WRITE(numout,*) ' zdq_i : ', zdq_i(ji) |
---|
| 514 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
---|
| 515 | WRITE(numout,*) ' fc_bo_i : ', fc_bo_i(ji) |
---|
| 516 | WRITE(numout,*) ' fbif_1d : ', fbif_1d(ji) |
---|
| 517 | WRITE(numout,*) ' qlbbq_1d : ', qlbbq_1d(ji) |
---|
| 518 | WRITE(numout,*) ' s_i_new : ', s_i_new(ji) |
---|
| 519 | WRITE(numout,*) ' sss_m : ', sss_m(zji,zjj) |
---|
[921] | 520 | WRITE(numout,*) ' dh_i_bott : ', dh_i_bott(ji) |
---|
[2715] | 521 | WRITE(numout,*) ' innermelt : ', INT( zinnermelt(ji) ) |
---|
[921] | 522 | ENDIF |
---|
[1572] | 523 | ENDIF |
---|
| 524 | END DO |
---|
| 525 | IF( numce_dh > 0 ) meance_dh = meance_dh / numce_dh |
---|
[921] | 526 | WRITE(numout,*) ' Number of points where there is bas. me. error : ', numce_dh |
---|
| 527 | WRITE(numout,*) ' Mean basal melt error on error points : ', meance_dh |
---|
| 528 | WRITE(numout,*) ' Remaining bottom heat : ', zqfont_bo(jiindex_1d) |
---|
[1572] | 529 | ! |
---|
| 530 | ENDIF |
---|
[825] | 531 | |
---|
[921] | 532 | ! |
---|
| 533 | !------------------------------------------------------------------------------! |
---|
| 534 | ! 5) Pathological cases ! |
---|
| 535 | !------------------------------------------------------------------------------! |
---|
| 536 | ! |
---|
[834] | 537 | !---------------------------------------------- |
---|
| 538 | ! 5.1 Excessive ablation in a 1-category model |
---|
| 539 | !---------------------------------------------- |
---|
[825] | 540 | |
---|
| 541 | DO ji = kideb, kiut |
---|
[1572] | 542 | ! ! in a 1-category sea ice model, bottom ablation must not exceed hmelt (-0.15) |
---|
| 543 | IF( jpl == 1 ) THEN ; zdhbf = MAX( hmelt , dh_i_bott(ji) ) |
---|
| 544 | ELSE ; zdhbf = dh_i_bott(ji) |
---|
| 545 | ENDIF |
---|
[3938] | 546 | zdvres = zdhbf - dh_i_bott(ji) |
---|
| 547 | dh_i_bott(ji) = zdhbf |
---|
| 548 | fseqv_1d(ji) = fseqv_1d(ji) - sm_i_b(ji) * a_i_b(ji) * zdvres * rhoic / rdt_ice |
---|
[1572] | 549 | ! ! excessive energy is sent to lateral ablation |
---|
[3938] | 550 | fsup (ji) = rhoic * lfus * at_i_b(ji) / MAX( 1.0 - at_i_b(ji) , epsi13 ) * zdvres / rdt_ice |
---|
[825] | 551 | END DO |
---|
| 552 | |
---|
[834] | 553 | !----------------------------------- |
---|
| 554 | ! 5.2 More than available ice melts |
---|
| 555 | !----------------------------------- |
---|
[825] | 556 | ! then heat applied minus heat content at previous time step |
---|
| 557 | ! should equal heat remaining |
---|
| 558 | ! |
---|
| 559 | DO ji = kideb, kiut |
---|
| 560 | ! Adapt the remaining energy if too much ice melts |
---|
| 561 | !-------------------------------------------------- |
---|
[3963] | 562 | zdvres = MAX( 0._wp, - ht_i_b(ji) - dh_i_surf(ji) - dh_i_bott(ji) ) |
---|
| 563 | zdvsur = MIN( 0._wp, dh_i_surf(ji) + zdvres ) - dh_i_surf(ji) ! fill the surface first |
---|
| 564 | zdvbot = MAX( 0._wp, zdvres - zdvsur ) ! then the bottom |
---|
| 565 | dh_i_surf (ji) = dh_i_surf(ji) + zdvsur ! clem |
---|
| 566 | dh_i_bott (ji) = dh_i_bott(ji) + zdvbot ! clem |
---|
| 567 | |
---|
| 568 | ! new ice thickness (clem) |
---|
| 569 | zhgnew(ji) = ht_i_b(ji) + dh_i_surf(ji) + dh_i_bott(ji) |
---|
| 570 | zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) !1 if ice |
---|
| 571 | zhgnew(ji) = zihgnew * zhgnew(ji) ! ice thickness is put to 0 |
---|
| 572 | |
---|
| 573 | ! !since ice volume is only used for outputs, we keep it global for all categories |
---|
| 574 | dvbbq_1d (ji) = a_i_b(ji) * dh_i_bott(ji) |
---|
| 575 | |
---|
| 576 | ! remaining heat |
---|
[834] | 577 | zfdt_final(ji) = ( 1.0 - zihgnew ) * ( zqfont_su(ji) + zqfont_bo(ji) ) |
---|
[825] | 578 | |
---|
| 579 | ! If snow remains, energy is used to melt snow |
---|
[1572] | 580 | zhni = ht_s_b(ji) ! snow depth at previous time step |
---|
| 581 | zihg = MAX( zzero , SIGN ( zone , - ht_s_b(ji) ) ) ! 0 if snow |
---|
[825] | 582 | |
---|
| 583 | ! energy of melting of remaining snow |
---|
[1572] | 584 | zqt_s(ji) = ( 1. - zihg ) * zqt_s(ji) / MAX( zhni, epsi13 ) |
---|
| 585 | zdhnm = - ( 1. - zihg ) * ( 1. - zihgnew ) * zfdt_final(ji) / MAX( zqt_s(ji) , epsi13 ) |
---|
[825] | 586 | zhnfi = zhni + zdhnm |
---|
[1572] | 587 | zfdt_final(ji) = MAX( zfdt_final(ji) + zqt_s(ji) * zdhnm , 0.0 ) |
---|
[825] | 588 | ht_s_b(ji) = MAX( zzero , zhnfi ) |
---|
| 589 | zqt_s(ji) = zqt_s(ji) * ht_s_b(ji) |
---|
[3963] | 590 | ! we recompute dh_s_tot (clem) |
---|
| 591 | dh_s_tot (ji) = ht_s_b(ji) - zhsold(ji) |
---|
[825] | 592 | |
---|
| 593 | ! Mass variations of ice and snow |
---|
| 594 | !--------------------------------- |
---|
[1572] | 595 | ! ! mass variation of the jl category |
---|
[1571] | 596 | zzfmass_s = - a_i_b(ji) * ( zhni - ht_s_b(ji) ) * rhosn ! snow |
---|
| 597 | zzfmass_i = a_i_b(ji) * ( zhgnew(ji) - ht_i_b(ji) ) * rhoic ! ice |
---|
| 598 | ! |
---|
| 599 | zfmass_i(ji) = zzfmass_i ! ice variation saved to compute salt flux (see below) |
---|
| 600 | ! |
---|
| 601 | ! ! mass variation cumulated over category |
---|
[3938] | 602 | !clem rdmsnif_1d(ji) = rdmsnif_1d(ji) + zzfmass_s ! snow |
---|
| 603 | !clem rdmicif_1d(ji) = rdmicif_1d(ji) + zzfmass_i ! ice |
---|
[825] | 604 | |
---|
| 605 | ! Remaining heat to the ocean |
---|
| 606 | !--------------------------------- |
---|
[1572] | 607 | focea(ji) = - zfdt_final(ji) / rdt_ice ! focea is in W.m-2 * dt |
---|
[3963] | 608 | |
---|
| 609 | ! residual salt flux (clem) |
---|
| 610 | !-------------------------- |
---|
| 611 | ! surface |
---|
| 612 | fseqv_1d(ji) = fseqv_1d(ji) - sm_i_b(ji) * a_i_b(ji) * zdvsur * rhoic / rdt_ice |
---|
| 613 | ! bottom |
---|
| 614 | IF ( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) >= 0._wp ) THEN ! melting |
---|
| 615 | fseqv_1d(ji) = fseqv_1d(ji) - sm_i_b(ji) * a_i_b(ji) * zdvbot * rhoic / rdt_ice |
---|
| 616 | ELSE ! growth |
---|
| 617 | fseqv_1d(ji) = fseqv_1d(ji) - s_i_new(ji) * a_i_b(ji) * zdvbot * rhoic / rdt_ice |
---|
| 618 | ENDIF |
---|
| 619 | ! |
---|
[3938] | 620 | ! ! diagnostic ( bottom ice growth ) |
---|
| 621 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
---|
| 622 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
---|
| 623 | diag_bot_gr(zji,zjj) = diag_bot_gr(zji,zjj) + MAX(dh_i_bott(ji),0.0)*a_i_b(ji) / rdt_ice |
---|
| 624 | diag_sur_me(zji,zjj) = diag_sur_me(zji,zjj) + MIN(dh_i_surf(ji),0.0)*a_i_b(ji) / rdt_ice |
---|
| 625 | 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] | 626 | END DO |
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| 627 | |
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| 628 | ftotal_fin (:) = zfdt_final(:) / rdt_ice |
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| 629 | |
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| 630 | !--------------------------- |
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| 631 | ! Salt flux and heat fluxes |
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| 632 | !--------------------------- |
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| 633 | DO ji = kideb, kiut |
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[1572] | 634 | zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) !1 if ice |
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[825] | 635 | |
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| 636 | ! Salt flux |
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[1572] | 637 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
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| 638 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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[825] | 639 | ! new lines |
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[3938] | 640 | !IF( num_sal == 4 ) THEN |
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| 641 | ! ! IOVINO |
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| 642 | ! fseqv_1d(ji) = fseqv_1d(ji) + zihgnew * zfsalt_melt(ji) & |
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| 643 | ! & - (1.0 - zihgnew) * zfmass_i(ji) * bulk_sal / rdt_ice |
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| 644 | !ELSE |
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| 645 | ! ! IOVINO |
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| 646 | ! fseqv_1d(ji) = fseqv_1d(ji) + zihgnew * zfsalt_melt(ji) & |
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| 647 | ! & - (1.0 - zihgnew) * zfmass_i(ji) * sm_i_b(ji) / rdt_ice |
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| 648 | !ENDIF |
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[825] | 649 | ! Heat flux |
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| 650 | ! excessive bottom ablation energy (fsup) - 0 except if jpl = 1 |
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| 651 | ! excessive total ablation energy (focea) sent to the ocean |
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[1572] | 652 | qfvbq_1d(ji) = qfvbq_1d(ji) + fsup(ji) + ( 1.0 - zihgnew ) * focea(ji) * a_i_b(ji) * rdt_ice |
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[825] | 653 | |
---|
| 654 | zihic = 1.0 - MAX( zzero , SIGN( zone , -ht_i_b(ji) ) ) |
---|
| 655 | ! equals 0 if ht_i = 0, 1 if ht_i gt 0 |
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| 656 | fscbq_1d(ji) = a_i_b(ji) * fstbif_1d(ji) |
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[1572] | 657 | qldif_1d(ji) = qldif_1d(ji) + fsup(ji) + ( 1.0 - zihgnew ) * focea(ji) * a_i_b(ji) * rdt_ice & |
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| 658 | & + ( 1.0 - zihic ) * fscbq_1d(ji) * rdt_ice |
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[3938] | 659 | !IF ( (zji.eq.jiindx).AND.(zjj.eq.jjindx) ) THEN |
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| 660 | ! !clemclem |
---|
| 661 | ! WRITE(numout,*) 'lim_thd_dh : qldif = ', qldif_1d(ji) |
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| 662 | ! !clemclem |
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| 663 | !ENDIF |
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[825] | 664 | END DO ! ji |
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| 665 | |
---|
| 666 | !------------------------------------------- |
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| 667 | ! Correct temperature, energy and thickness |
---|
| 668 | !------------------------------------------- |
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| 669 | DO ji = kideb, kiut |
---|
[1572] | 670 | zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) |
---|
| 671 | t_su_b(ji) = zihgnew * t_su_b(ji) + ( 1.0 - zihgnew ) * rtt |
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[825] | 672 | END DO ! ji |
---|
| 673 | |
---|
| 674 | DO jk = 1, nlay_i |
---|
| 675 | DO ji = kideb, kiut |
---|
[1572] | 676 | zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) |
---|
| 677 | t_i_b(ji,jk) = zihgnew * t_i_b(ji,jk) + ( 1.0 - zihgnew ) * rtt |
---|
| 678 | q_i_b(ji,jk) = zihgnew * q_i_b(ji,jk) |
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[825] | 679 | END DO |
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| 680 | END DO ! ji |
---|
| 681 | |
---|
| 682 | DO ji = kideb, kiut |
---|
| 683 | ht_i_b(ji) = zhgnew(ji) |
---|
| 684 | END DO ! ji |
---|
[921] | 685 | ! |
---|
| 686 | !------------------------------------------------------------------------------| |
---|
| 687 | ! 6) Snow-Ice formation | |
---|
| 688 | !------------------------------------------------------------------------------| |
---|
[1572] | 689 | ! When snow load excesses Archimede's limit, snow-ice interface goes down under sea-level, |
---|
| 690 | ! flooding of seawater transforms snow into ice dh_snowice is positive for the ice |
---|
[825] | 691 | DO ji = kideb, kiut |
---|
[1572] | 692 | ! |
---|
| 693 | dh_snowice(ji) = MAX( zzero , ( rhosn * ht_s_b(ji) + (rhoic-rau0) * ht_i_b(ji) ) / ( rhosn+rau0-rhoic ) ) |
---|
| 694 | zhgnew(ji) = MAX( zhgnew(ji) , zhgnew(ji) + dh_snowice(ji) ) |
---|
| 695 | zhnnew = MIN( ht_s_b(ji) , ht_s_b(ji) - dh_snowice(ji) ) |
---|
[825] | 696 | |
---|
[921] | 697 | ! Changes in ice volume and ice mass. |
---|
[1572] | 698 | dvnbq_1d (ji) = a_i_b(ji) * ( zhgnew(ji)-ht_i_b(ji) ) |
---|
| 699 | dmgwi_1d (ji) = dmgwi_1d(ji) + a_i_b(ji) * ( ht_s_b(ji) - zhnnew ) * rhosn |
---|
[825] | 700 | |
---|
[3938] | 701 | !clem rdmicif_1d(ji) = rdmicif_1d(ji) + a_i_b(ji) * ( zhgnew(ji) - ht_i_b(ji) ) * rhoic |
---|
| 702 | !clem rdmsnif_1d(ji) = rdmsnif_1d(ji) + a_i_b(ji) * ( zhnnew - ht_s_b(ji) ) * rhosn |
---|
[825] | 703 | |
---|
[921] | 704 | ! Equivalent salt flux (1) Snow-ice formation component |
---|
| 705 | ! ----------------------------------------------------- |
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[1572] | 706 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
---|
| 707 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
---|
[825] | 708 | |
---|
[1572] | 709 | IF( num_sal /= 2 ) THEN ; zsm_snowice = sm_i_b(ji) |
---|
| 710 | ELSE ; zsm_snowice = ( rhoic - rhosn ) / rhoic * sss_m(zji,zjj) |
---|
| 711 | ENDIF |
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[3938] | 712 | !IF( num_sal == 4 ) THEN |
---|
| 713 | ! ! IOVINO |
---|
| 714 | ! fseqv_1d(ji) = fseqv_1d(ji) - bulk_sal * a_i_b(ji) * dh_snowice(ji) * rhoic / rdt_ice |
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| 715 | !ELSE |
---|
| 716 | ! ! IOVINO |
---|
| 717 | ! fseqv_1d(ji) = fseqv_1d(ji) - zsm_snowice * a_i_b(ji) * dh_snowice(ji) * rhoic / rdt_ice |
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| 718 | !ENDIF |
---|
[825] | 719 | ! entrapment during snow ice formation |
---|
| 720 | |
---|
[3938] | 721 | !clem IF( num_sal == 2 .OR. num_sal == 4 ) & |
---|
| 722 | !clem dsm_i_si_1d(ji) = ( zsm_snowice*dh_snowice(ji) & |
---|
| 723 | !clem & + sm_i_b(ji) * ht_i_b(ji) / MAX( ht_i_b(ji) + dh_snowice(ji), epsi13) & |
---|
| 724 | !clem & - sm_i_b(ji) ) * isnowic |
---|
| 725 | |
---|
[3963] | 726 | ! clem: new salinity difference stored (to be used in limthd_ent.F90) |
---|
| 727 | IF ( num_sal == 2 .OR. num_sal == 4 ) THEN |
---|
| 728 | i_ice_switch = 1.0 - MAX( 0.e0 , SIGN( 1.0 , - zhgnew(ji) + epsi13 ) ) |
---|
| 729 | ! salinity dif due to snow-ice formation |
---|
| 730 | dsm_i_si_1d(ji) = ( zsm_snowice - sm_i_b(ji) ) * dh_snowice(ji) / MAX( zhgnew(ji), epsi13 ) * i_ice_switch |
---|
| 731 | ! salinity dif due to bottom growth |
---|
| 732 | IF ( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) < 0._wp ) THEN |
---|
| 733 | dsm_i_se_1d(ji) = ( s_i_new(ji) - sm_i_b(ji) ) * dh_i_bott(ji) / MAX( zhgnew(ji), epsi13 ) * i_ice_switch |
---|
| 734 | ENDIF |
---|
| 735 | ENDIF |
---|
| 736 | |
---|
[921] | 737 | ! Actualize new snow and ice thickness. |
---|
[825] | 738 | ht_s_b(ji) = zhnnew |
---|
| 739 | ht_i_b(ji) = zhgnew(ji) |
---|
| 740 | |
---|
| 741 | ! Total ablation ! new lines added to debug |
---|
[2715] | 742 | IF( ht_i_b(ji) <= 0._wp ) a_i_b(ji) = 0._wp |
---|
[825] | 743 | |
---|
| 744 | ! diagnostic ( snow ice growth ) |
---|
[1572] | 745 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
---|
| 746 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
---|
| 747 | diag_sni_gr(zji,zjj) = diag_sni_gr(zji,zjj) + dh_snowice(ji)*a_i_b(ji) / rdt_ice |
---|
[3938] | 748 | |
---|
| 749 | ! salt flux |
---|
| 750 | fseqv_1d(ji) = fseqv_1d(ji) - zsm_snowice * a_i_b(ji) * dh_snowice(ji) * rhoic / rdt_ice |
---|
| 751 | !-------------------------------- |
---|
| 752 | ! Update mass fluxes (clem) |
---|
| 753 | !-------------------------------- |
---|
| 754 | rdmicif_1d(ji) = rdmicif_1d(ji) + ( a_i_b(ji) * ht_i_b(ji) - zviold(ji) ) * rhoic |
---|
| 755 | rdmsnif_1d(ji) = rdmsnif_1d(ji) + ( a_i_b(ji) * ht_s_b(ji) - zvsold(ji) ) * rhosn |
---|
| 756 | |
---|
[825] | 757 | END DO !ji |
---|
[2715] | 758 | ! |
---|
[3294] | 759 | CALL wrk_dealloc( jpij, zh_i, zh_s, ztfs, zhsold, zqprec, zqfont_su, zqfont_bo, z_f_surf, zhgnew, zfmass_i ) |
---|
| 760 | CALL wrk_dealloc( jpij, zdh_s_mel, zdh_s_pre, zdh_s_sub, zfsalt_melt, zfdt_init, zfdt_final, zqt_i, zqt_s, zqt_dummy ) |
---|
| 761 | CALL wrk_dealloc( jpij, zinnermelt, zfbase, zdq_i ) |
---|
| 762 | CALL wrk_dealloc( jpij, jkmax, zdeltah, zqt_i_lay ) |
---|
[2715] | 763 | ! |
---|
[3938] | 764 | CALL wrk_dealloc( jpij, zviold, zvsold ) ! clem |
---|
| 765 | ! |
---|
[921] | 766 | END SUBROUTINE lim_thd_dh |
---|
[1572] | 767 | |
---|
[825] | 768 | #else |
---|
[1572] | 769 | !!---------------------------------------------------------------------- |
---|
| 770 | !! Default option NO LIM3 sea-ice model |
---|
| 771 | !!---------------------------------------------------------------------- |
---|
[825] | 772 | CONTAINS |
---|
| 773 | SUBROUTINE lim_thd_dh ! Empty routine |
---|
| 774 | END SUBROUTINE lim_thd_dh |
---|
| 775 | #endif |
---|
[1572] | 776 | |
---|
| 777 | !!====================================================================== |
---|
[921] | 778 | END MODULE limthd_dh |
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