| 1 | MODULE limthd_dh |
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| 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 | !! 4.0 ! 2011-02 (G. Madec) dynamical allocation |
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| 10 | !!---------------------------------------------------------------------- |
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| 11 | #if defined key_lim3 |
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| 12 | !!---------------------------------------------------------------------- |
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| 13 | !! 'key_lim3' LIM3 sea-ice model |
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| 14 | !!---------------------------------------------------------------------- |
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| 15 | !! lim_thd_dh : vertical accr./abl. and lateral ablation of sea ice |
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| 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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| 19 | USE sbc_oce ! Surface boundary condition: ocean fields |
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| 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 wrk_nemo ! workspace manager |
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| 24 | USE in_out_manager ! I/O manager |
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| 25 | USE lib_mpp ! MPP library |
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| 26 | |
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| 27 | IMPLICIT NONE |
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| 28 | PRIVATE |
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| 29 | |
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| 30 | PUBLIC lim_thd_dh ! called by lim_thd |
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| 31 | |
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| 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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| 37 | |
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| 38 | !!---------------------------------------------------------------------- |
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| 39 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2010) |
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| 40 | !! $Id$ |
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| 41 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 42 | !!---------------------------------------------------------------------- |
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| 43 | CONTAINS |
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| 44 | |
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| 45 | SUBROUTINE lim_thd_dh( kideb, kiut, jl ) |
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| 46 | !!------------------------------------------------------------------ |
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| 47 | !! *** ROUTINE lim_thd_dh *** |
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| 48 | !! |
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| 49 | !! ** Purpose : determines variations of ice and snow thicknesses. |
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| 50 | !! |
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| 51 | !! ** Method : Ice/Snow surface melting arises from imbalance in surface fluxes |
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| 52 | !! Bottom accretion/ablation arises from flux budget |
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| 53 | !! Snow thickness can increase by precipitation and decrease by sublimation |
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| 54 | !! If snow load excesses Archmiede limit, snow-ice is formed by |
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| 55 | !! the flooding of sea-water in the snow |
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| 56 | !! |
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| 57 | !! 1) Compute available flux of heat for surface ablation |
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| 58 | !! 2) Compute snow and sea ice enthalpies |
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| 59 | !! 3) Surface ablation and sublimation |
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| 60 | !! 4) Bottom accretion/ablation |
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| 61 | !! 5) Case of Total ablation |
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| 62 | !! 6) Snow ice formation |
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| 63 | !! |
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| 64 | !! References : Bitz and Lipscomb, 1999, J. Geophys. Res. |
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| 65 | !! Fichefet T. and M. Maqueda 1997, J. Geophys. Res., 102(C6), 12609-12646 |
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| 66 | !! Vancoppenolle, Fichefet and Bitz, 2005, Geophys. Res. Let. |
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| 67 | !! Vancoppenolle et al.,2009, Ocean Modelling |
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| 68 | !!------------------------------------------------------------------ |
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| 69 | INTEGER , INTENT(in) :: kideb, kiut ! Start/End point on which the the computation is applied |
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| 70 | INTEGER , INTENT(in) :: jl ! Thickness cateogry number |
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| 71 | !! |
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| 72 | INTEGER :: ji , jk ! dummy loop indices |
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| 73 | INTEGER :: zji, zjj ! 2D corresponding indices to ji |
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| 74 | INTEGER :: isnow ! switch for presence (1) or absence (0) of snow |
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| 75 | INTEGER :: isnowic ! snow ice formation not |
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| 76 | INTEGER :: i_ice_switch ! ice thickness above a certain treshold or not |
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| 77 | INTEGER :: iter |
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| 78 | INTEGER :: num_iter_max, numce_dh |
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| 79 | |
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| 80 | REAL(wp) :: meance_dh |
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| 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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| 83 | REAL(wp) :: zhn, zdhcf, zdhbf, zhni, zhnfi, zihg ! |
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| 84 | REAL(wp) :: zdhnm, zhnnew, zhisn, zihic, zzc ! |
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| 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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| 94 | ! |
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| 95 | REAL(wp), POINTER, DIMENSION(:) :: zh_i, ztfs , zqfont_su, zqprec , zhgnew |
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| 96 | REAL(wp), POINTER, DIMENSION(:) :: zh_s, zhsold, zqfont_bo, z_f_surf, zfmass_i |
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| 97 | REAL(wp), POINTER, DIMENSION(:) :: zdh_s_mel, zdh_s_sub , zfdt_init , zqt_i, zqt_dummy, zdq_i |
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| 98 | REAL(wp), POINTER, DIMENSION(:) :: zdh_s_pre, zfsalt_melt, zfdt_final, zqt_s, zfbase , zinnermelt |
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| 99 | ! |
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| 100 | REAL(wp), DIMENSION(jpij,jkmax) :: zdeltah |
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| 101 | REAL(wp), DIMENSION(jpij,jkmax) :: zqt_i_lay ! total ice heat content |
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| 102 | !!------------------------------------------------------------------ |
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| 103 | |
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| 104 | IF( wrk_in_use(1, 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22) ) THEN |
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| 105 | CALL ctl_stop('lim_thd_dh: requestead workspace arrays unavailable') ; RETURN |
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| 106 | ENDIF |
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| 107 | ! Set-up pointers to sub-arrays of workspace arrays |
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| 108 | zh_i => wrk_1d_1 (1:jpij) ! ice layer thickness |
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| 109 | zh_s => wrk_1d_2 (1:jpij) ! snow layer thickness |
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| 110 | ztfs => wrk_1d_3 (1:jpij) ! melting point |
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| 111 | zhsold => wrk_1d_4 (1:jpij) ! old snow thickness |
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| 112 | zqprec => wrk_1d_5 (1:jpij) ! energy of fallen snow |
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| 113 | zqfont_su => wrk_1d_6 (1:jpij) ! incoming, remaining surface energy |
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| 114 | zqfont_bo => wrk_1d_7 (1:jpij) ! incoming, bottom energy |
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| 115 | z_f_surf => wrk_1d_8 (1:jpij) ! surface heat for ablation |
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| 116 | zhgnew => wrk_1d_9 (1:jpij) ! new ice thickness |
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| 117 | zfmass_i => wrk_1d_10(1:jpij) ! |
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| 118 | ! |
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| 119 | zdh_s_mel => wrk_1d_11(1:jpij) ! snow melt |
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| 120 | zdh_s_pre => wrk_1d_12(1:jpij) ! snow precipitation |
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| 121 | zdh_s_sub => wrk_1d_13(1:jpij) ! snow sublimation |
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| 122 | zfsalt_melt => wrk_1d_14(1:jpij) ! salt flux due to ice melt |
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| 123 | ! |
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| 124 | ! ! Pathological cases |
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| 125 | zfdt_init => wrk_1d_15(1:jpij) ! total incoming heat for ice melt |
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| 126 | zfdt_final => wrk_1d_16(1:jpij) ! total remaing heat for ice melt |
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| 127 | zqt_i => wrk_1d_17(1:jpij) ! total ice heat content |
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| 128 | zqt_s => wrk_1d_18(1:jpij) ! total snow heat content |
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| 129 | zqt_dummy => wrk_1d_19(1:jpij) ! dummy heat content |
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| 130 | |
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| 131 | zfbase => wrk_1d_20(1:jpij) |
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| 132 | zdq_i => wrk_1d_21(1:jpij) |
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| 133 | zinnermelt => wrk_1d_22(1:jpij) |
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| 134 | |
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| 135 | zfsalt_melt(:) = 0._wp |
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| 136 | ftotal_fin(:) = 0._wp |
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| 137 | zfdt_init(:) = 0._wp |
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| 138 | zfdt_final(:) = 0._wp |
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| 139 | |
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| 140 | DO ji = kideb, kiut |
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| 141 | old_ht_i_b(ji) = ht_i_b(ji) |
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| 142 | old_ht_s_b(ji) = ht_s_b(ji) |
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| 143 | END DO |
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| 144 | ! |
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| 145 | !------------------------------------------------------------------------------! |
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| 146 | ! 1) Calculate available heat for surface ablation ! |
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| 147 | !------------------------------------------------------------------------------! |
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| 148 | ! |
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| 149 | DO ji = kideb, kiut |
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| 150 | isnow = INT( 1.0 - MAX ( 0.0 , SIGN ( 1.0 , - ht_s_b(ji) ) ) ) |
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| 151 | ztfs(ji) = isnow * rtt + ( 1.0 - isnow ) * rtt |
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| 152 | z_f_surf(ji) = qnsr_ice_1d(ji) + ( 1.0 - i0(ji) ) * qsr_ice_1d(ji) - fc_su(ji) |
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| 153 | z_f_surf(ji) = MAX( zzero , z_f_surf(ji) ) * MAX( zzero , SIGN( zone , t_su_b(ji) - ztfs(ji) ) ) |
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| 154 | 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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| 155 | END DO ! ji |
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| 156 | |
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| 157 | zqfont_su (:) = 0._wp |
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| 158 | zqfont_bo (:) = 0._wp |
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| 159 | dsm_i_se_1d(:) = 0._wp |
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| 160 | dsm_i_si_1d(:) = 0._wp |
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| 161 | ! |
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| 162 | !------------------------------------------------------------------------------! |
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| 163 | ! 2) Computing layer thicknesses and snow and sea-ice enthalpies. ! |
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| 164 | !------------------------------------------------------------------------------! |
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| 165 | ! |
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| 166 | DO ji = kideb, kiut ! Layer thickness |
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| 167 | zh_i(ji) = ht_i_b(ji) / nlay_i |
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| 168 | zh_s(ji) = ht_s_b(ji) / nlay_s |
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| 169 | END DO |
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| 170 | ! |
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| 171 | zqt_s(:) = 0._wp ! Total enthalpy of the snow |
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| 172 | DO jk = 1, nlay_s |
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| 173 | DO ji = kideb, kiut |
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| 174 | zqt_s(ji) = zqt_s(ji) + q_s_b(ji,jk) * ht_s_b(ji) / nlay_s |
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| 175 | END DO |
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| 176 | END DO |
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| 177 | ! |
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| 178 | zqt_i(:) = 0._wp ! Total enthalpy of the ice |
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| 179 | DO jk = 1, nlay_i |
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| 180 | DO ji = kideb, kiut |
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| 181 | zzc = q_i_b(ji,jk) * ht_i_b(ji) / nlay_i |
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| 182 | zqt_i(ji) = zqt_i(ji) + zzc |
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| 183 | zqt_i_lay(ji,jk) = zzc |
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| 184 | END DO |
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| 185 | END DO |
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| 186 | ! |
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| 187 | !------------------------------------------------------------------------------| |
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| 188 | ! 3) Surface ablation and sublimation | |
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| 189 | !------------------------------------------------------------------------------| |
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| 190 | ! |
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| 191 | !------------------------- |
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| 192 | ! 3.1 Snow precips / melt |
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| 193 | !------------------------- |
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| 194 | ! Snow accumulation in one thermodynamic time step |
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| 195 | ! snowfall is partitionned between leads and ice |
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| 196 | ! if snow fall was uniform, a fraction (1-at_i) would fall into leads |
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| 197 | ! but because of the winds, more snow falls on leads than on sea ice |
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| 198 | ! and a greater fraction (1-at_i)^beta of the total mass of snow |
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| 199 | ! (beta < 1) falls in leads. |
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| 200 | ! In reality, beta depends on wind speed, |
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| 201 | ! and should decrease with increasing wind speed but here, it is |
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| 202 | ! considered as a constant. an average value is 0.66 |
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| 203 | ! Martin Vancoppenolle, December 2006 |
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| 204 | |
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| 205 | ! Snow fall |
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| 206 | DO ji = kideb, kiut |
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| 207 | zcoeff = ( 1.0 - ( 1.0 - at_i_b(ji) )**betas ) / at_i_b(ji) |
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| 208 | zdh_s_pre(ji) = zcoeff * sprecip_1d(ji) * rdt_ice / rhosn |
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| 209 | END DO |
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| 210 | zdh_s_mel(:) = 0._wp |
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| 211 | |
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| 212 | ! Melt of fallen snow |
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| 213 | DO ji = kideb, kiut |
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| 214 | ! tatm_ice is now in K |
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| 215 | zqprec (ji) = rhosn * ( cpic * ( rtt - tatm_ice_1d(ji) ) + lfus ) |
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| 216 | zqfont_su(ji) = z_f_surf(ji) * rdt_ice |
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| 217 | zdeltah (ji,1) = MIN( 0.e0 , - zqfont_su(ji) / MAX( zqprec(ji) , epsi13 ) ) |
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| 218 | zqfont_su(ji) = MAX( 0.e0 , - zdh_s_pre(ji) - zdeltah(ji,1) ) * zqprec(ji) |
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| 219 | zdeltah (ji,1) = MAX( - zdh_s_pre(ji) , zdeltah(ji,1) ) |
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| 220 | zdh_s_mel(ji) = zdh_s_mel(ji) + zdeltah(ji,1) |
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| 221 | ! heat conservation |
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| 222 | qt_s_in(ji,jl) = qt_s_in(ji,jl) + zqprec(ji) * zdh_s_pre(ji) |
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| 223 | zqt_s (ji) = zqt_s (ji) + zqprec(ji) * zdh_s_pre(ji) |
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| 224 | zqt_s (ji) = MAX( zqt_s(ji) - zqfont_su(ji) , 0.e0 ) |
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| 225 | END DO |
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| 226 | |
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| 227 | |
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| 228 | ! Snow melt due to surface heat imbalance |
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| 229 | DO jk = 1, nlay_s |
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| 230 | DO ji = kideb, kiut |
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| 231 | zdeltah (ji,jk) = - zqfont_su(ji) / q_s_b(ji,jk) |
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| 232 | zqfont_su(ji) = MAX( 0.0 , - zh_s(ji) - zdeltah(ji,jk) ) * q_s_b(ji,jk) |
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| 233 | zdeltah (ji,jk) = MAX( zdeltah(ji,jk) , - zh_s(ji) ) |
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| 234 | zdh_s_mel(ji) = zdh_s_mel(ji) + zdeltah(ji,jk) ! resulting melt of snow |
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| 235 | END DO |
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| 236 | END DO |
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| 237 | |
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| 238 | ! Apply snow melt to snow depth |
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| 239 | DO ji = kideb, kiut |
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| 240 | dh_s_tot(ji) = zdh_s_mel(ji) + zdh_s_pre(ji) |
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| 241 | ! Old and new snow depths |
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| 242 | zhsold(ji) = ht_s_b(ji) |
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| 243 | zhsnew = ht_s_b(ji) + dh_s_tot(ji) |
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| 244 | ! If snow is still present zhn = 1, else zhn = 0 |
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| 245 | zhn = 1.0 - MAX( zzero , SIGN( zone , - zhsnew ) ) |
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| 246 | ht_s_b(ji) = MAX( zzero , zhsnew ) |
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| 247 | ! Volume and mass variations of snow |
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| 248 | dvsbq_1d (ji) = a_i_b(ji) * ( ht_s_b(ji) - zhsold(ji) - zdh_s_mel(ji) ) |
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| 249 | dvsbq_1d (ji) = MIN( zzero, dvsbq_1d(ji) ) |
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| 250 | rdmsnif_1d(ji) = rdmsnif_1d(ji) + rhosn * dvsbq_1d(ji) |
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| 251 | END DO ! ji |
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| 252 | |
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| 253 | !-------------------------- |
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| 254 | ! 3.2 Surface ice ablation |
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| 255 | !-------------------------- |
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| 256 | DO ji = kideb, kiut |
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| 257 | dh_i_surf(ji) = 0._wp |
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| 258 | z_f_surf (ji) = zqfont_su(ji) / rdt_ice ! heat conservation test |
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| 259 | zdq_i (ji) = 0._wp |
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| 260 | END DO ! ji |
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| 261 | |
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| 262 | DO jk = 1, nlay_i |
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| 263 | DO ji = kideb, kiut |
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| 264 | ! ! melt of layer jk |
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| 265 | zdeltah (ji,jk) = - zqfont_su(ji) / q_i_b(ji,jk) |
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| 266 | ! ! recompute heat available |
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| 267 | zqfont_su(ji) = MAX( 0.0 , - zh_i(ji) - zdeltah(ji,jk) ) * q_i_b(ji,jk) |
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| 268 | ! ! melt of layer jk cannot be higher than its thickness |
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| 269 | zdeltah (ji,jk) = MAX( zdeltah(ji,jk) , - zh_i(ji) ) |
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| 270 | ! ! update surface melt |
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| 271 | dh_i_surf(ji) = dh_i_surf(ji) + zdeltah(ji,jk) |
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| 272 | ! ! for energy conservation |
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| 273 | zdq_i (ji) = zdq_i(ji) + zdeltah(ji,jk) * q_i_b(ji,jk) / rdt_ice |
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| 274 | ! |
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| 275 | ! contribution to ice-ocean salt flux |
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| 276 | zji = MOD( npb(ji) - 1 , jpi ) + 1 |
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| 277 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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| 278 | zfsalt_melt(ji) = zfsalt_melt(ji) + ( sss_m(zji,zjj) - sm_i_b(ji) ) * a_i_b(ji) & |
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| 279 | & * MIN( zdeltah(ji,jk) , 0.e0 ) * rhoic / rdt_ice |
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| 280 | END DO |
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| 281 | END DO |
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| 282 | |
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| 283 | ! !------------------- |
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| 284 | IF( con_i ) THEN ! Conservation test |
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| 285 | ! !------------------- |
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| 286 | numce_dh = 0 |
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| 287 | meance_dh = 0._wp |
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| 288 | DO ji = kideb, kiut |
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| 289 | IF ( ( z_f_surf(ji) + zdq_i(ji) ) .GE. 1.0e-3 ) THEN |
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| 290 | numce_dh = numce_dh + 1 |
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| 291 | meance_dh = meance_dh + z_f_surf(ji) + zdq_i(ji) |
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| 292 | ENDIF |
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| 293 | IF( z_f_surf(ji) + zdq_i(ji) .GE. 1.0e-3 ) THEN! |
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| 294 | WRITE(numout,*) ' ALERTE heat loss for surface melt ' |
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| 295 | WRITE(numout,*) ' zji, zjj, jl :', zji, zjj, jl |
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| 296 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
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| 297 | WRITE(numout,*) ' z_f_surf : ', z_f_surf(ji) |
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| 298 | WRITE(numout,*) ' zdq_i : ', zdq_i(ji) |
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| 299 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
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| 300 | WRITE(numout,*) ' fc_bo_i : ', fc_bo_i(ji) |
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| 301 | WRITE(numout,*) ' fbif_1d : ', fbif_1d(ji) |
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| 302 | WRITE(numout,*) ' qlbbq_1d : ', qlbbq_1d(ji) |
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| 303 | WRITE(numout,*) ' s_i_new : ', s_i_new(ji) |
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| 304 | WRITE(numout,*) ' sss_m : ', sss_m(zji,zjj) |
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| 305 | ENDIF |
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| 306 | END DO |
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| 307 | ! |
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| 308 | IF( numce_dh > 0 ) meance_dh = meance_dh / numce_dh |
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| 309 | WRITE(numout,*) ' Error report - Category : ', jl |
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| 310 | WRITE(numout,*) ' ~~~~~~~~~~~~ ' |
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| 311 | WRITE(numout,*) ' Number of points where there is sur. me. error : ', numce_dh |
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| 312 | WRITE(numout,*) ' Mean basal growth error on error points : ', meance_dh |
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| 313 | ! |
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| 314 | ENDIF |
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| 315 | |
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| 316 | !---------------------- |
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| 317 | ! 3.3 Snow sublimation |
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| 318 | !---------------------- |
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| 319 | |
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| 320 | DO ji = kideb, kiut |
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| 321 | ! if qla is positive (upwards), heat goes to the atmosphere, therefore |
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| 322 | ! snow sublimates, if qla is negative (downwards), snow condensates |
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| 323 | zdh_s_sub(ji) = - parsub * qla_ice_1d(ji) / ( rhosn * lsub ) * rdt_ice |
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| 324 | dh_s_tot (ji) = dh_s_tot(ji) + zdh_s_sub(ji) |
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| 325 | zdhcf = ht_s_b(ji) + zdh_s_sub(ji) |
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| 326 | ht_s_b (ji) = MAX( zzero , zdhcf ) |
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| 327 | ! we recompute dh_s_tot |
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| 328 | dh_s_tot (ji) = ht_s_b(ji) - zhsold(ji) |
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| 329 | qt_s_in (ji,jl) = qt_s_in(ji,jl) + zdh_s_sub(ji)*q_s_b(ji,1) |
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| 330 | END DO |
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| 331 | |
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| 332 | zqt_dummy(:) = 0.e0 |
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| 333 | DO jk = 1, nlay_s |
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| 334 | DO ji = kideb,kiut |
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| 335 | q_s_b (ji,jk) = rhosn * ( cpic * ( rtt - t_s_b(ji,jk) ) + lfus ) |
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| 336 | zqt_dummy(ji) = zqt_dummy(ji) + q_s_b(ji,jk) * ht_s_b(ji) / nlay_s ! heat conservation |
|---|
| 337 | END DO |
|---|
| 338 | END DO |
|---|
| 339 | |
|---|
| 340 | DO jk = 1, nlay_s |
|---|
| 341 | DO ji = kideb, kiut |
|---|
| 342 | ! In case of disparition of the snow, we have to update the snow temperatures |
|---|
| 343 | zhisn = MAX( zzero , SIGN( zone, - ht_s_b(ji) ) ) |
|---|
| 344 | t_s_b(ji,jk) = ( 1.0 - zhisn ) * t_s_b(ji,jk) + zhisn * rtt |
|---|
| 345 | q_s_b(ji,jk) = ( 1.0 - zhisn ) * q_s_b(ji,jk) |
|---|
| 346 | END DO |
|---|
| 347 | END DO |
|---|
| 348 | |
|---|
| 349 | ! |
|---|
| 350 | !------------------------------------------------------------------------------! |
|---|
| 351 | ! 4) Basal growth / melt ! |
|---|
| 352 | !------------------------------------------------------------------------------! |
|---|
| 353 | ! |
|---|
| 354 | ! Ice basal growth / melt is given by the ratio of heat budget over basal |
|---|
| 355 | ! ice heat content. Basal heat budget is given by the difference between |
|---|
| 356 | ! the inner conductive flux (fc_bo_i), from the open water heat flux |
|---|
| 357 | ! (qlbbqb) and the turbulent ocean flux (fbif). |
|---|
| 358 | ! fc_bo_i is positive downwards. fbif and qlbbq are positive to the ice |
|---|
| 359 | |
|---|
| 360 | !----------------------------------------------------- |
|---|
| 361 | ! 4.1 Basal growth - (a) salinity not varying in time |
|---|
| 362 | !----------------------------------------------------- |
|---|
| 363 | IF( num_sal /= 2 .AND. num_sal /= 4 ) THEN |
|---|
| 364 | DO ji = kideb, kiut |
|---|
| 365 | IF( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) < 0.0 ) THEN |
|---|
| 366 | s_i_new(ji) = sm_i_b(ji) |
|---|
| 367 | ! Melting point in K |
|---|
| 368 | ztmelts = - tmut * s_i_new(ji) + rtt |
|---|
| 369 | ! New ice heat content (Bitz and Lipscomb, 1999) |
|---|
| 370 | ztform = t_i_b(ji,nlay_i) ! t_bo_b crashes in the |
|---|
| 371 | ! Baltic |
|---|
| 372 | q_i_b(ji,nlay_i+1) = rhoic * ( cpic * ( ztmelts - ztform ) & |
|---|
| 373 | & + lfus * ( 1.0 - ( ztmelts - rtt ) / ( ztform - rtt ) ) & |
|---|
| 374 | & - rcp * ( ztmelts - rtt ) ) |
|---|
| 375 | ! Basal growth rate = - F*dt / q |
|---|
| 376 | dh_i_bott(ji) = - rdt_ice*( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) / q_i_b(ji,nlay_i+1) |
|---|
| 377 | ENDIF |
|---|
| 378 | END DO |
|---|
| 379 | ENDIF |
|---|
| 380 | |
|---|
| 381 | !------------------------------------------------- |
|---|
| 382 | ! 4.1 Basal growth - (b) salinity varying in time |
|---|
| 383 | !------------------------------------------------- |
|---|
| 384 | IF( num_sal == 2 .OR. num_sal == 4 ) THEN |
|---|
| 385 | ! the growth rate (dh_i_bott) is function of the new ice |
|---|
| 386 | ! heat content (q_i_b(nlay_i+1)). q_i_b depends on the new ice |
|---|
| 387 | ! salinity (snewice). snewice depends on dh_i_bott |
|---|
| 388 | ! it converges quickly, so, no problem |
|---|
| 389 | ! See Vancoppenolle et al., OM08 for more info on this |
|---|
| 390 | |
|---|
| 391 | ! Initial value (tested 1D, can be anything between 1 and 20) |
|---|
| 392 | num_iter_max = 4 |
|---|
| 393 | s_i_new(:) = 4.0 |
|---|
| 394 | |
|---|
| 395 | ! Iterative procedure |
|---|
| 396 | DO iter = 1, num_iter_max |
|---|
| 397 | DO ji = kideb, kiut |
|---|
| 398 | IF( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) < 0.e0 ) THEN |
|---|
| 399 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
|---|
| 400 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
|---|
| 401 | ! Melting point in K |
|---|
| 402 | ztmelts = - tmut * s_i_new(ji) + rtt |
|---|
| 403 | ! New ice heat content (Bitz and Lipscomb, 1999) |
|---|
| 404 | q_i_b(ji,nlay_i+1) = rhoic * ( cpic * ( ztmelts - t_bo_b(ji) ) & |
|---|
| 405 | & + lfus * ( 1.0 - ( ztmelts - rtt ) / ( t_bo_b(ji) - rtt ) ) & |
|---|
| 406 | & - rcp * ( ztmelts-rtt ) ) |
|---|
| 407 | ! Bottom growth rate = - F*dt / q |
|---|
| 408 | dh_i_bott(ji) = - rdt_ice * ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) / q_i_b(ji,nlay_i+1) |
|---|
| 409 | ! New ice salinity ( Cox and Weeks, JGR, 1988 ) |
|---|
| 410 | ! zswi2 (1) if dh_i_bott/rdt .GT. 3.6e-7 |
|---|
| 411 | ! zswi12 (1) if dh_i_bott/rdt .LT. 3.6e-7 and .GT. 2.0e-8 |
|---|
| 412 | ! zswi1 (1) if dh_i_bott/rdt .LT. 2.0e-8 |
|---|
| 413 | zgrr = MIN( 1.0e-3, MAX ( dh_i_bott(ji) / rdt_ice , epsi13 ) ) |
|---|
| 414 | zswi2 = MAX( zzero , SIGN( zone , zgrr - 3.6e-7 ) ) |
|---|
| 415 | zswi12 = MAX( zzero , SIGN( zone , zgrr - 2.0e-8 ) ) * ( 1.0 - zswi2 ) |
|---|
| 416 | zswi1 = 1. - zswi2 * zswi12 |
|---|
| 417 | zfracs = zswi1 * 0.12 + zswi12 * ( 0.8925 + 0.0568 * LOG( 100.0 * zgrr ) ) & |
|---|
| 418 | & + zswi2 * 0.26 / ( 0.26 + 0.74 * EXP ( - 724300.0 * zgrr ) ) |
|---|
| 419 | zds = zfracs * sss_m(zji,zjj) - s_i_new(ji) |
|---|
| 420 | s_i_new(ji) = zfracs * sss_m(zji,zjj) |
|---|
| 421 | ENDIF ! fc_bo_i |
|---|
| 422 | END DO ! ji |
|---|
| 423 | END DO ! iter |
|---|
| 424 | |
|---|
| 425 | ! Final values |
|---|
| 426 | DO ji = kideb, kiut |
|---|
| 427 | IF( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) .LT. 0.0 ) THEN |
|---|
| 428 | ! New ice salinity must not exceed 15 psu |
|---|
| 429 | s_i_new(ji) = MIN( s_i_new(ji), s_i_max ) |
|---|
| 430 | ! Metling point in K |
|---|
| 431 | ztmelts = - tmut * s_i_new(ji) + rtt |
|---|
| 432 | ! New ice heat content (Bitz and Lipscomb, 1999) |
|---|
| 433 | q_i_b(ji,nlay_i+1) = rhoic * ( cpic * ( ztmelts - t_bo_b(ji) ) & |
|---|
| 434 | & + lfus * ( 1.0 - ( ztmelts - rtt ) / ( t_bo_b(ji) - rtt ) ) & |
|---|
| 435 | & - rcp * ( ztmelts - rtt ) ) |
|---|
| 436 | ! Basal growth rate = - F*dt / q |
|---|
| 437 | dh_i_bott(ji) = - rdt_ice*( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) / q_i_b(ji,nlay_i+1) |
|---|
| 438 | ! Salinity update |
|---|
| 439 | ! entrapment during bottom growth |
|---|
| 440 | dsm_i_se_1d(ji) = ( s_i_new(ji) * dh_i_bott(ji) + sm_i_b(ji) * ht_i_b(ji) ) & |
|---|
| 441 | & / MAX( ht_i_b(ji) + dh_i_bott(ji) ,epsi13 ) - sm_i_b(ji) |
|---|
| 442 | ENDIF ! heat budget |
|---|
| 443 | END DO |
|---|
| 444 | ENDIF |
|---|
| 445 | |
|---|
| 446 | !---------------- |
|---|
| 447 | ! 4.2 Basal melt |
|---|
| 448 | !---------------- |
|---|
| 449 | meance_dh = 0._wp |
|---|
| 450 | numce_dh = 0 |
|---|
| 451 | zinnermelt(:) = 0._wp |
|---|
| 452 | |
|---|
| 453 | DO ji = kideb, kiut |
|---|
| 454 | ! heat convergence at the surface > 0 |
|---|
| 455 | IF( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) >= 0._wp ) THEN |
|---|
| 456 | s_i_new(ji) = s_i_b(ji,nlay_i) |
|---|
| 457 | zqfont_bo(ji) = rdt_ice * ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) |
|---|
| 458 | zfbase(ji) = zqfont_bo(ji) / rdt_ice ! heat conservation test |
|---|
| 459 | zdq_i(ji) = 0._wp |
|---|
| 460 | dh_i_bott(ji) = 0._wp |
|---|
| 461 | ENDIF |
|---|
| 462 | END DO |
|---|
| 463 | |
|---|
| 464 | DO jk = nlay_i, 1, -1 |
|---|
| 465 | DO ji = kideb, kiut |
|---|
| 466 | IF ( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) .GE. 0.0 ) THEN |
|---|
| 467 | ztmelts = - tmut * s_i_b(ji,jk) + rtt |
|---|
| 468 | IF( t_i_b(ji,jk) >= ztmelts ) THEN |
|---|
| 469 | zdeltah(ji,jk) = - zh_i(ji) |
|---|
| 470 | dh_i_bott(ji) = dh_i_bott(ji) + zdeltah(ji,jk) |
|---|
| 471 | zinnermelt(ji) = 1._wp |
|---|
| 472 | ELSE ! normal ablation |
|---|
| 473 | zdeltah(ji,jk) = - zqfont_bo(ji) / q_i_b(ji,jk) |
|---|
| 474 | zqfont_bo(ji) = MAX( 0.0 , - zh_i(ji) - zdeltah(ji,jk) ) * q_i_b(ji,jk) |
|---|
| 475 | zdeltah(ji,jk) = MAX(zdeltah(ji,jk), - zh_i(ji) ) |
|---|
| 476 | dh_i_bott(ji) = dh_i_bott(ji) + zdeltah(ji,jk) |
|---|
| 477 | zdq_i(ji) = zdq_i(ji) + zdeltah(ji,jk) * q_i_b(ji,jk) / rdt_ice |
|---|
| 478 | ! contribution to salt flux |
|---|
| 479 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
|---|
| 480 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
|---|
| 481 | zfsalt_melt(ji) = zfsalt_melt(ji) + ( sss_m(zji,zjj) - sm_i_b(ji) ) * a_i_b(ji) & |
|---|
| 482 | & * MIN( zdeltah(ji,jk) , 0.0 ) * rhoic / rdt_ice |
|---|
| 483 | ENDIF |
|---|
| 484 | ENDIF |
|---|
| 485 | END DO ! ji |
|---|
| 486 | END DO ! jk |
|---|
| 487 | |
|---|
| 488 | ! !------------------- |
|---|
| 489 | IF( con_i ) THEN ! Conservation test |
|---|
| 490 | ! !------------------- |
|---|
| 491 | DO ji = kideb, kiut |
|---|
| 492 | IF( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) >= 0.e0 ) THEN |
|---|
| 493 | IF( ( zfbase(ji) + zdq_i(ji) ) >= 1.e-3 ) THEN |
|---|
| 494 | numce_dh = numce_dh + 1 |
|---|
| 495 | meance_dh = meance_dh + zfbase(ji) + zdq_i(ji) |
|---|
| 496 | ENDIF |
|---|
| 497 | IF ( zfbase(ji) + zdq_i(ji) .GE. 1.0e-3 ) THEN |
|---|
| 498 | WRITE(numout,*) ' ALERTE heat loss for basal melt : zji, zjj, jl :', zji, zjj, jl |
|---|
| 499 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
|---|
| 500 | WRITE(numout,*) ' zfbase : ', zfbase(ji) |
|---|
| 501 | WRITE(numout,*) ' zdq_i : ', zdq_i(ji) |
|---|
| 502 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
|---|
| 503 | WRITE(numout,*) ' fc_bo_i : ', fc_bo_i(ji) |
|---|
| 504 | WRITE(numout,*) ' fbif_1d : ', fbif_1d(ji) |
|---|
| 505 | WRITE(numout,*) ' qlbbq_1d : ', qlbbq_1d(ji) |
|---|
| 506 | WRITE(numout,*) ' s_i_new : ', s_i_new(ji) |
|---|
| 507 | WRITE(numout,*) ' sss_m : ', sss_m(zji,zjj) |
|---|
| 508 | WRITE(numout,*) ' dh_i_bott : ', dh_i_bott(ji) |
|---|
| 509 | WRITE(numout,*) ' innermelt : ', INT( zinnermelt(ji) ) |
|---|
| 510 | ENDIF |
|---|
| 511 | ENDIF |
|---|
| 512 | END DO |
|---|
| 513 | IF( numce_dh > 0 ) meance_dh = meance_dh / numce_dh |
|---|
| 514 | WRITE(numout,*) ' Number of points where there is bas. me. error : ', numce_dh |
|---|
| 515 | WRITE(numout,*) ' Mean basal melt error on error points : ', meance_dh |
|---|
| 516 | WRITE(numout,*) ' Remaining bottom heat : ', zqfont_bo(jiindex_1d) |
|---|
| 517 | ! |
|---|
| 518 | ENDIF |
|---|
| 519 | |
|---|
| 520 | ! |
|---|
| 521 | !------------------------------------------------------------------------------! |
|---|
| 522 | ! 5) Pathological cases ! |
|---|
| 523 | !------------------------------------------------------------------------------! |
|---|
| 524 | ! |
|---|
| 525 | !---------------------------------------------- |
|---|
| 526 | ! 5.1 Excessive ablation in a 1-category model |
|---|
| 527 | !---------------------------------------------- |
|---|
| 528 | |
|---|
| 529 | DO ji = kideb, kiut |
|---|
| 530 | ! ! in a 1-category sea ice model, bottom ablation must not exceed hmelt (-0.15) |
|---|
| 531 | IF( jpl == 1 ) THEN ; zdhbf = MAX( hmelt , dh_i_bott(ji) ) |
|---|
| 532 | ELSE ; zdhbf = dh_i_bott(ji) |
|---|
| 533 | ENDIF |
|---|
| 534 | ! ! excessive energy is sent to lateral ablation |
|---|
| 535 | fsup (ji) = rhoic * lfus * at_i_b(ji) / MAX( 1.0 - at_i_b(ji) , epsi13 ) & |
|---|
| 536 | & * ( zdhbf - dh_i_bott(ji) ) / rdt_ice |
|---|
| 537 | dh_i_bott(ji) = zdhbf |
|---|
| 538 | ! !since ice volume is only used for outputs, we keep it global for all categories |
|---|
| 539 | dvbbq_1d (ji) = a_i_b(ji) * dh_i_bott(ji) |
|---|
| 540 | ! !new ice thickness |
|---|
| 541 | zhgnew (ji) = ht_i_b(ji) + dh_i_surf(ji) + dh_i_bott(ji) |
|---|
| 542 | ! ! diagnostic ( bottom ice growth ) |
|---|
| 543 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
|---|
| 544 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
|---|
| 545 | diag_bot_gr(zji,zjj) = diag_bot_gr(zji,zjj) + MAX(dh_i_bott(ji),0.0)*a_i_b(ji) / rdt_ice |
|---|
| 546 | diag_sur_me(zji,zjj) = diag_sur_me(zji,zjj) + MIN(dh_i_surf(ji),0.0)*a_i_b(ji) / rdt_ice |
|---|
| 547 | diag_bot_me(zji,zjj) = diag_bot_me(zji,zjj) + MIN(dh_i_bott(ji),0.0)*a_i_b(ji) / rdt_ice |
|---|
| 548 | END DO |
|---|
| 549 | |
|---|
| 550 | !----------------------------------- |
|---|
| 551 | ! 5.2 More than available ice melts |
|---|
| 552 | !----------------------------------- |
|---|
| 553 | ! then heat applied minus heat content at previous time step |
|---|
| 554 | ! should equal heat remaining |
|---|
| 555 | ! |
|---|
| 556 | DO ji = kideb, kiut |
|---|
| 557 | ! Adapt the remaining energy if too much ice melts |
|---|
| 558 | !-------------------------------------------------- |
|---|
| 559 | zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) !1 if ice |
|---|
| 560 | ! 0 if no more ice |
|---|
| 561 | zhgnew (ji) = zihgnew * zhgnew(ji) ! ice thickness is put to 0 |
|---|
| 562 | ! remaining heat |
|---|
| 563 | zfdt_final(ji) = ( 1.0 - zihgnew ) * ( zqfont_su(ji) + zqfont_bo(ji) ) |
|---|
| 564 | |
|---|
| 565 | ! If snow remains, energy is used to melt snow |
|---|
| 566 | zhni = ht_s_b(ji) ! snow depth at previous time step |
|---|
| 567 | zihg = MAX( zzero , SIGN ( zone , - ht_s_b(ji) ) ) ! 0 if snow |
|---|
| 568 | |
|---|
| 569 | ! energy of melting of remaining snow |
|---|
| 570 | zqt_s(ji) = ( 1. - zihg ) * zqt_s(ji) / MAX( zhni, epsi13 ) |
|---|
| 571 | zdhnm = - ( 1. - zihg ) * ( 1. - zihgnew ) * zfdt_final(ji) / MAX( zqt_s(ji) , epsi13 ) |
|---|
| 572 | zhnfi = zhni + zdhnm |
|---|
| 573 | zfdt_final(ji) = MAX( zfdt_final(ji) + zqt_s(ji) * zdhnm , 0.0 ) |
|---|
| 574 | ht_s_b(ji) = MAX( zzero , zhnfi ) |
|---|
| 575 | zqt_s(ji) = zqt_s(ji) * ht_s_b(ji) |
|---|
| 576 | |
|---|
| 577 | ! Mass variations of ice and snow |
|---|
| 578 | !--------------------------------- |
|---|
| 579 | ! ! mass variation of the jl category |
|---|
| 580 | zzfmass_s = - a_i_b(ji) * ( zhni - ht_s_b(ji) ) * rhosn ! snow |
|---|
| 581 | zzfmass_i = a_i_b(ji) * ( zhgnew(ji) - ht_i_b(ji) ) * rhoic ! ice |
|---|
| 582 | ! |
|---|
| 583 | zfmass_i(ji) = zzfmass_i ! ice variation saved to compute salt flux (see below) |
|---|
| 584 | ! |
|---|
| 585 | ! ! mass variation cumulated over category |
|---|
| 586 | rdmsnif_1d(ji) = rdmsnif_1d(ji) + zzfmass_s ! snow |
|---|
| 587 | rdmicif_1d(ji) = rdmicif_1d(ji) + zzfmass_i ! ice |
|---|
| 588 | |
|---|
| 589 | ! Remaining heat to the ocean |
|---|
| 590 | !--------------------------------- |
|---|
| 591 | focea(ji) = - zfdt_final(ji) / rdt_ice ! focea is in W.m-2 * dt |
|---|
| 592 | |
|---|
| 593 | END DO |
|---|
| 594 | |
|---|
| 595 | ftotal_fin (:) = zfdt_final(:) / rdt_ice |
|---|
| 596 | |
|---|
| 597 | !--------------------------- |
|---|
| 598 | ! Salt flux and heat fluxes |
|---|
| 599 | !--------------------------- |
|---|
| 600 | DO ji = kideb, kiut |
|---|
| 601 | zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) !1 if ice |
|---|
| 602 | |
|---|
| 603 | ! Salt flux |
|---|
| 604 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
|---|
| 605 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
|---|
| 606 | ! new lines |
|---|
| 607 | IF( num_sal == 4 ) THEN |
|---|
| 608 | fseqv_1d(ji) = fseqv_1d(ji) + zihgnew * zfsalt_melt(ji) & |
|---|
| 609 | & + (1.0 - zihgnew) * zfmass_i(ji) * ( sss_m(zji,zjj) - bulk_sal ) / rdt_ice |
|---|
| 610 | ELSE |
|---|
| 611 | fseqv_1d(ji) = fseqv_1d(ji) + zihgnew * zfsalt_melt(ji) & |
|---|
| 612 | & + (1.0 - zihgnew) * zfmass_i(ji) * ( sss_m(zji,zjj) - sm_i_b(ji) ) / rdt_ice |
|---|
| 613 | ENDIF |
|---|
| 614 | ! Heat flux |
|---|
| 615 | ! excessive bottom ablation energy (fsup) - 0 except if jpl = 1 |
|---|
| 616 | ! excessive total ablation energy (focea) sent to the ocean |
|---|
| 617 | qfvbq_1d(ji) = qfvbq_1d(ji) + fsup(ji) + ( 1.0 - zihgnew ) * focea(ji) * a_i_b(ji) * rdt_ice |
|---|
| 618 | |
|---|
| 619 | zihic = 1.0 - MAX( zzero , SIGN( zone , -ht_i_b(ji) ) ) |
|---|
| 620 | ! equals 0 if ht_i = 0, 1 if ht_i gt 0 |
|---|
| 621 | fscbq_1d(ji) = a_i_b(ji) * fstbif_1d(ji) |
|---|
| 622 | qldif_1d(ji) = qldif_1d(ji) + fsup(ji) + ( 1.0 - zihgnew ) * focea(ji) * a_i_b(ji) * rdt_ice & |
|---|
| 623 | & + ( 1.0 - zihic ) * fscbq_1d(ji) * rdt_ice |
|---|
| 624 | END DO ! ji |
|---|
| 625 | |
|---|
| 626 | !------------------------------------------- |
|---|
| 627 | ! Correct temperature, energy and thickness |
|---|
| 628 | !------------------------------------------- |
|---|
| 629 | DO ji = kideb, kiut |
|---|
| 630 | zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) |
|---|
| 631 | t_su_b(ji) = zihgnew * t_su_b(ji) + ( 1.0 - zihgnew ) * rtt |
|---|
| 632 | END DO ! ji |
|---|
| 633 | |
|---|
| 634 | DO jk = 1, nlay_i |
|---|
| 635 | DO ji = kideb, kiut |
|---|
| 636 | zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) |
|---|
| 637 | t_i_b(ji,jk) = zihgnew * t_i_b(ji,jk) + ( 1.0 - zihgnew ) * rtt |
|---|
| 638 | q_i_b(ji,jk) = zihgnew * q_i_b(ji,jk) |
|---|
| 639 | END DO |
|---|
| 640 | END DO ! ji |
|---|
| 641 | |
|---|
| 642 | DO ji = kideb, kiut |
|---|
| 643 | ht_i_b(ji) = zhgnew(ji) |
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| 644 | END DO ! ji |
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| 645 | ! |
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| 646 | !------------------------------------------------------------------------------| |
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| 647 | ! 6) Snow-Ice formation | |
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| 648 | !------------------------------------------------------------------------------| |
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| 649 | ! When snow load excesses Archimede's limit, snow-ice interface goes down under sea-level, |
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| 650 | ! flooding of seawater transforms snow into ice dh_snowice is positive for the ice |
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| 651 | DO ji = kideb, kiut |
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| 652 | ! |
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| 653 | dh_snowice(ji) = MAX( zzero , ( rhosn * ht_s_b(ji) + (rhoic-rau0) * ht_i_b(ji) ) / ( rhosn+rau0-rhoic ) ) |
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| 654 | zhgnew(ji) = MAX( zhgnew(ji) , zhgnew(ji) + dh_snowice(ji) ) |
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| 655 | zhnnew = MIN( ht_s_b(ji) , ht_s_b(ji) - dh_snowice(ji) ) |
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| 656 | |
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| 657 | ! Changes in ice volume and ice mass. |
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| 658 | dvnbq_1d (ji) = a_i_b(ji) * ( zhgnew(ji)-ht_i_b(ji) ) |
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| 659 | dmgwi_1d (ji) = dmgwi_1d(ji) + a_i_b(ji) * ( ht_s_b(ji) - zhnnew ) * rhosn |
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| 660 | |
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| 661 | rdmicif_1d(ji) = rdmicif_1d(ji) + a_i_b(ji) * ( zhgnew(ji) - ht_i_b(ji) ) * rhoic |
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| 662 | rdmsnif_1d(ji) = rdmsnif_1d(ji) + a_i_b(ji) * ( zhnnew - ht_s_b(ji) ) * rhosn |
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| 663 | |
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| 664 | ! Equivalent salt flux (1) Snow-ice formation component |
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| 665 | ! ----------------------------------------------------- |
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| 666 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
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| 667 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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| 668 | |
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| 669 | IF( num_sal /= 2 ) THEN ; zsm_snowice = sm_i_b(ji) |
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| 670 | ELSE ; zsm_snowice = ( rhoic - rhosn ) / rhoic * sss_m(zji,zjj) |
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| 671 | ENDIF |
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| 672 | IF( num_sal == 4 ) THEN |
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| 673 | fseqv_1d(ji) = fseqv_1d(ji) + ( sss_m(zji,zjj) - bulk_sal ) * a_i_b(ji) & |
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| 674 | & * ( zhgnew(ji) - ht_i_b(ji) ) * rhoic / rdt_ice |
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| 675 | ELSE |
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| 676 | fseqv_1d(ji) = fseqv_1d(ji) + ( sss_m(zji,zjj) - zsm_snowice ) * a_i_b(ji) & |
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| 677 | & * ( zhgnew(ji) - ht_i_b(ji) ) * rhoic / rdt_ice |
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| 678 | ENDIF |
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| 679 | ! entrapment during snow ice formation |
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| 680 | i_ice_switch = 1.0 - MAX( 0.e0 , SIGN( 1.0 , - ht_i_b(ji) + 1.0e-6 ) ) |
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| 681 | isnowic = 1.0 - MAX( 0.e0 , SIGN( 1.0 , - dh_snowice(ji) ) ) * i_ice_switch |
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| 682 | IF( num_sal == 2 .OR. num_sal == 4 ) & |
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| 683 | dsm_i_si_1d(ji) = ( zsm_snowice*dh_snowice(ji) & |
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| 684 | & + sm_i_b(ji) * ht_i_b(ji) / MAX( ht_i_b(ji) + dh_snowice(ji), epsi13) & |
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| 685 | & - sm_i_b(ji) ) * isnowic |
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| 686 | |
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| 687 | ! Actualize new snow and ice thickness. |
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| 688 | ht_s_b(ji) = zhnnew |
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| 689 | ht_i_b(ji) = zhgnew(ji) |
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| 690 | |
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| 691 | ! Total ablation ! new lines added to debug |
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| 692 | IF( ht_i_b(ji) <= 0._wp ) a_i_b(ji) = 0._wp |
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| 693 | |
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| 694 | ! diagnostic ( snow ice growth ) |
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| 695 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
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| 696 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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| 697 | diag_sni_gr(zji,zjj) = diag_sni_gr(zji,zjj) + dh_snowice(ji)*a_i_b(ji) / rdt_ice |
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| 698 | ! |
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| 699 | END DO !ji |
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| 700 | ! |
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| 701 | IF( wrk_not_released(1, 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21) ) & |
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| 702 | CALL ctl_stop('lim_thd_dh : failed to release workspace arrays') |
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| 703 | ! |
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| 704 | END SUBROUTINE lim_thd_dh |
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| 705 | |
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| 706 | #else |
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| 707 | !!---------------------------------------------------------------------- |
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| 708 | !! Default option NO LIM3 sea-ice model |
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| 709 | !!---------------------------------------------------------------------- |
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| 710 | CONTAINS |
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| 711 | SUBROUTINE lim_thd_dh ! Empty routine |
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| 712 | END SUBROUTINE lim_thd_dh |
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| 713 | #endif |
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| 714 | |
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| 715 | !!====================================================================== |
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| 716 | END MODULE limthd_dh |
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