[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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[4688] | 8 | !! 3.2 ! 2009-07 (M. Vancoppenolle, Y. Aksenov, G. Madec) bug correction in wfx_snw & wfx_ice |
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[3625] | 9 | !! 3.4 ! 2011-02 (G. Madec) dynamical allocation |
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| 10 | !! 3.5 ! 2012-10 (G. Madec & co) salt flux + bug fixes |
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[1572] | 11 | !!---------------------------------------------------------------------- |
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[825] | 12 | #if defined key_lim3 |
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[834] | 13 | !!---------------------------------------------------------------------- |
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| 14 | !! 'key_lim3' LIM3 sea-ice model |
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| 15 | !!---------------------------------------------------------------------- |
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[3625] | 16 | !! lim_thd_dh : vertical accr./abl. and lateral ablation of sea ice |
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[825] | 17 | !!---------------------------------------------------------------------- |
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[3625] | 18 | USE par_oce ! ocean parameters |
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| 19 | USE phycst ! physical constants (OCE directory) |
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| 20 | USE sbc_oce ! Surface boundary condition: ocean fields |
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| 21 | USE ice ! LIM variables |
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| 22 | USE par_ice ! LIM parameters |
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| 23 | USE thd_ice ! LIM thermodynamics |
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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 | USE wrk_nemo ! work arrays |
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| 27 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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[4688] | 28 | |
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[825] | 29 | IMPLICIT NONE |
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| 30 | PRIVATE |
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| 31 | |
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[1572] | 32 | PUBLIC lim_thd_dh ! called by lim_thd |
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[825] | 33 | |
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| 34 | !!---------------------------------------------------------------------- |
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[4161] | 35 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2010) |
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[1156] | 36 | !! $Id$ |
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[2715] | 37 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[825] | 38 | !!---------------------------------------------------------------------- |
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| 39 | CONTAINS |
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| 40 | |
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[4688] | 41 | SUBROUTINE lim_thd_dh( kideb, kiut ) |
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[921] | 42 | !!------------------------------------------------------------------ |
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| 43 | !! *** ROUTINE lim_thd_dh *** |
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| 44 | !! |
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[1572] | 45 | !! ** Purpose : determines variations of ice and snow thicknesses. |
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[921] | 46 | !! |
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[1572] | 47 | !! ** Method : Ice/Snow surface melting arises from imbalance in surface fluxes |
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| 48 | !! Bottom accretion/ablation arises from flux budget |
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| 49 | !! Snow thickness can increase by precipitation and decrease by sublimation |
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| 50 | !! If snow load excesses Archmiede limit, snow-ice is formed by |
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| 51 | !! the flooding of sea-water in the snow |
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[921] | 52 | !! |
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[1572] | 53 | !! 1) Compute available flux of heat for surface ablation |
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| 54 | !! 2) Compute snow and sea ice enthalpies |
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| 55 | !! 3) Surface ablation and sublimation |
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| 56 | !! 4) Bottom accretion/ablation |
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| 57 | !! 5) Case of Total ablation |
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| 58 | !! 6) Snow ice formation |
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[921] | 59 | !! |
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[1572] | 60 | !! References : Bitz and Lipscomb, 1999, J. Geophys. Res. |
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| 61 | !! Fichefet T. and M. Maqueda 1997, J. Geophys. Res., 102(C6), 12609-12646 |
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| 62 | !! Vancoppenolle, Fichefet and Bitz, 2005, Geophys. Res. Let. |
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| 63 | !! Vancoppenolle et al.,2009, Ocean Modelling |
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[921] | 64 | !!------------------------------------------------------------------ |
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[1572] | 65 | INTEGER , INTENT(in) :: kideb, kiut ! Start/End point on which the the computation is applied |
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| 66 | !! |
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| 67 | INTEGER :: ji , jk ! dummy loop indices |
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[4161] | 68 | INTEGER :: ii, ij ! 2D corresponding indices to ji |
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[1572] | 69 | INTEGER :: iter |
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[825] | 70 | |
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[4688] | 71 | REAL(wp) :: ztmelts ! local scalar |
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| 72 | REAL(wp) :: zdh, zfdum ! |
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[1572] | 73 | REAL(wp) :: zfracs ! fractionation coefficient for bottom salt entrapment |
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| 74 | REAL(wp) :: zcoeff ! dummy argument for snowfall partitioning over ice and leads |
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[4688] | 75 | REAL(wp) :: zs_snic ! snow-ice salinity |
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[1572] | 76 | REAL(wp) :: zswi1 ! switch for computation of bottom salinity |
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| 77 | REAL(wp) :: zswi12 ! switch for computation of bottom salinity |
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| 78 | REAL(wp) :: zswi2 ! switch for computation of bottom salinity |
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| 79 | REAL(wp) :: zgrr ! bottom growth rate |
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[4688] | 80 | REAL(wp) :: zt_i_new ! bottom formation temperature |
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| 81 | |
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| 82 | REAL(wp) :: zQm ! enthalpy exchanged with the ocean (J/m2), >0 towards the ocean |
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| 83 | REAL(wp) :: zEi ! specific enthalpy of sea ice (J/kg) |
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| 84 | REAL(wp) :: zEw ! specific enthalpy of exchanged water (J/kg) |
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| 85 | REAL(wp) :: zdE ! specific enthalpy difference (J/kg) |
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| 86 | REAL(wp) :: zfmdt ! exchange mass flux x time step (J/m2), >0 towards the ocean |
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| 87 | REAL(wp) :: zsstK ! SST in Kelvin |
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| 88 | |
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[3294] | 89 | REAL(wp), POINTER, DIMENSION(:) :: zh_s ! snow layer thickness |
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[4688] | 90 | REAL(wp), POINTER, DIMENSION(:) :: zqprec ! energy of fallen snow (J.m-3) |
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| 91 | REAL(wp), POINTER, DIMENSION(:) :: zq_su ! heat for surface ablation (J.m-2) |
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| 92 | REAL(wp), POINTER, DIMENSION(:) :: zq_bo ! heat for bottom ablation (J.m-2) |
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| 93 | REAL(wp), POINTER, DIMENSION(:) :: zq_1cat ! corrected heat in case 1-cat and hmelt>15cm (J.m-2) |
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| 94 | REAL(wp), POINTER, DIMENSION(:) :: zq_rema ! remaining heat at the end of the routine (J.m-2) |
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| 95 | REAL(wp), POINTER, DIMENSION(:) :: zf_tt ! Heat budget to determine melting or freezing(W.m-2) |
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| 96 | INTEGER , POINTER, DIMENSION(:) :: icount ! number of layers vanished by melting |
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[3294] | 97 | |
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[3625] | 98 | REAL(wp), POINTER, DIMENSION(:) :: zdh_s_mel ! snow melt |
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| 99 | REAL(wp), POINTER, DIMENSION(:) :: zdh_s_pre ! snow precipitation |
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| 100 | REAL(wp), POINTER, DIMENSION(:) :: zdh_s_sub ! snow sublimation |
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[3294] | 101 | |
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| 102 | REAL(wp), POINTER, DIMENSION(:,:) :: zdeltah |
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[4688] | 103 | REAL(wp), POINTER, DIMENSION(:,:) :: zh_i ! ice layer thickness |
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[3294] | 104 | |
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[4688] | 105 | REAL(wp), POINTER, DIMENSION(:) :: zqh_i ! total ice heat content (J.m-2) |
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| 106 | REAL(wp), POINTER, DIMENSION(:) :: zqh_s ! total snow heat content (J.m-2) |
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| 107 | REAL(wp), POINTER, DIMENSION(:) :: zq_s ! total snow enthalpy (J.m-3) |
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[3294] | 108 | |
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[4161] | 109 | ! mass and salt flux (clem) |
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[4990] | 110 | REAL(wp) :: zdvres, zswitch_sal |
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[4161] | 111 | |
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[3294] | 112 | ! Heat conservation |
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[4688] | 113 | INTEGER :: num_iter_max |
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| 114 | |
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[1572] | 115 | !!------------------------------------------------------------------ |
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[825] | 116 | |
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[4688] | 117 | ! Discriminate between varying salinity (num_sal=2) and prescribed cases (other values) |
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| 118 | SELECT CASE( num_sal ) ! varying salinity or not |
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| 119 | CASE( 1, 3, 4 ) ; zswitch_sal = 0 ! prescribed salinity profile |
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| 120 | CASE( 2 ) ; zswitch_sal = 1 ! varying salinity profile |
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| 121 | END SELECT |
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[825] | 122 | |
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[4688] | 123 | CALL wrk_alloc( jpij, zh_s, zqprec, zq_su, zq_bo, zf_tt, zq_1cat, zq_rema ) |
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| 124 | CALL wrk_alloc( jpij, zdh_s_mel, zdh_s_pre, zdh_s_sub, zqh_i, zqh_s, zq_s ) |
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[4873] | 125 | CALL wrk_alloc( jpij, nlay_i+1, zdeltah, zh_i ) |
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[4688] | 126 | CALL wrk_alloc( jpij, icount ) |
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[4161] | 127 | |
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[4688] | 128 | dh_i_surf (:) = 0._wp ; dh_i_bott (:) = 0._wp ; dh_snowice(:) = 0._wp |
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| 129 | dsm_i_se_1d(:) = 0._wp ; dsm_i_si_1d(:) = 0._wp |
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| 130 | |
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| 131 | zqprec (:) = 0._wp ; zq_su (:) = 0._wp ; zq_bo (:) = 0._wp ; zf_tt (:) = 0._wp |
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| 132 | zq_1cat(:) = 0._wp ; zq_rema(:) = 0._wp |
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[2715] | 133 | |
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[4688] | 134 | zh_s (:) = 0._wp |
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| 135 | zdh_s_pre(:) = 0._wp |
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| 136 | zdh_s_mel(:) = 0._wp |
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| 137 | zdh_s_sub(:) = 0._wp |
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| 138 | zqh_s (:) = 0._wp |
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| 139 | zqh_i (:) = 0._wp |
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[4161] | 140 | |
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[4688] | 141 | zh_i (:,:) = 0._wp |
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| 142 | zdeltah (:,:) = 0._wp |
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| 143 | icount (:) = 0 |
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| 144 | |
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| 145 | ! initialize layer thicknesses and enthalpies |
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| 146 | h_i_old (:,0:nlay_i+1) = 0._wp |
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| 147 | qh_i_old(:,0:nlay_i+1) = 0._wp |
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| 148 | DO jk = 1, nlay_i |
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| 149 | DO ji = kideb, kiut |
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[4872] | 150 | h_i_old (ji,jk) = ht_i_1d(ji) / REAL( nlay_i ) |
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| 151 | qh_i_old(ji,jk) = q_i_1d(ji,jk) * h_i_old(ji,jk) |
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[4688] | 152 | ENDDO |
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| 153 | ENDDO |
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[921] | 154 | ! |
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| 155 | !------------------------------------------------------------------------------! |
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[4688] | 156 | ! 1) Calculate available heat for surface and bottom ablation ! |
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[921] | 157 | !------------------------------------------------------------------------------! |
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| 158 | ! |
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[2715] | 159 | DO ji = kideb, kiut |
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[4990] | 160 | rswitch = 1._wp - MAX( 0._wp , SIGN( 1._wp , - ht_s_1d(ji) ) ) |
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| 161 | ztmelts = rswitch * rtt + ( 1._wp - rswitch ) * rtt |
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[825] | 162 | |
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[4990] | 163 | zfdum = qns_ice_1d(ji) + ( 1._wp - i0(ji) ) * qsr_ice_1d(ji) - fc_su(ji) |
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| 164 | zf_tt(ji) = fc_bo_i(ji) + fhtur_1d(ji) + fhld_1d(ji) |
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[4688] | 165 | |
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[4872] | 166 | zq_su (ji) = MAX( 0._wp, zfdum * rdt_ice ) * MAX( 0._wp , SIGN( 1._wp, t_su_1d(ji) - ztmelts ) ) |
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[4688] | 167 | zq_bo (ji) = MAX( 0._wp, zf_tt(ji) * rdt_ice ) |
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| 168 | END DO |
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| 169 | |
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[921] | 170 | ! |
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| 171 | !------------------------------------------------------------------------------! |
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[4688] | 172 | ! If snow temperature is above freezing point, then snow melts |
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| 173 | ! (should not happen but sometimes it does) |
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[921] | 174 | !------------------------------------------------------------------------------! |
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[4688] | 175 | DO ji = kideb, kiut |
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[4872] | 176 | IF( t_s_1d(ji,1) > rtt ) THEN !!! Internal melting |
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[4688] | 177 | ! Contribution to heat flux to the ocean [W.m-2], < 0 |
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[4872] | 178 | hfx_res_1d(ji) = hfx_res_1d(ji) + q_s_1d(ji,1) * ht_s_1d(ji) * a_i_1d(ji) * r1_rdtice |
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[4688] | 179 | ! Contribution to mass flux |
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[4872] | 180 | wfx_snw_1d(ji) = wfx_snw_1d(ji) + rhosn * ht_s_1d(ji) * a_i_1d(ji) * r1_rdtice |
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[4688] | 181 | ! updates |
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[4872] | 182 | ht_s_1d(ji) = 0._wp |
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| 183 | q_s_1d (ji,1) = 0._wp |
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| 184 | t_s_1d (ji,1) = rtt |
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[4688] | 185 | END IF |
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| 186 | END DO |
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| 187 | |
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| 188 | !------------------------------------------------------------! |
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| 189 | ! 2) Computing layer thicknesses and enthalpies. ! |
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| 190 | !------------------------------------------------------------! |
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[921] | 191 | ! |
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[4688] | 192 | DO ji = kideb, kiut |
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[4872] | 193 | zh_s(ji) = ht_s_1d(ji) / REAL( nlay_s ) |
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[825] | 194 | END DO |
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[2715] | 195 | ! |
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[825] | 196 | DO jk = 1, nlay_s |
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[2715] | 197 | DO ji = kideb, kiut |
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[4872] | 198 | zqh_s(ji) = zqh_s(ji) + q_s_1d(ji,jk) * zh_s(ji) |
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[825] | 199 | END DO |
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| 200 | END DO |
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[2715] | 201 | ! |
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[825] | 202 | DO jk = 1, nlay_i |
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[2715] | 203 | DO ji = kideb, kiut |
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[4872] | 204 | zh_i(ji,jk) = ht_i_1d(ji) / REAL( nlay_i ) |
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| 205 | zqh_i(ji) = zqh_i(ji) + q_i_1d(ji,jk) * zh_i(ji,jk) |
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[825] | 206 | END DO |
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| 207 | END DO |
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[921] | 208 | ! |
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| 209 | !------------------------------------------------------------------------------| |
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| 210 | ! 3) Surface ablation and sublimation | |
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| 211 | !------------------------------------------------------------------------------| |
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| 212 | ! |
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[834] | 213 | !------------------------- |
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| 214 | ! 3.1 Snow precips / melt |
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| 215 | !------------------------- |
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[825] | 216 | ! Snow accumulation in one thermodynamic time step |
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| 217 | ! snowfall is partitionned between leads and ice |
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| 218 | ! if snow fall was uniform, a fraction (1-at_i) would fall into leads |
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| 219 | ! but because of the winds, more snow falls on leads than on sea ice |
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| 220 | ! and a greater fraction (1-at_i)^beta of the total mass of snow |
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[834] | 221 | ! (beta < 1) falls in leads. |
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[825] | 222 | ! In reality, beta depends on wind speed, |
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| 223 | ! and should decrease with increasing wind speed but here, it is |
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[834] | 224 | ! considered as a constant. an average value is 0.66 |
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[825] | 225 | ! Martin Vancoppenolle, December 2006 |
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| 226 | |
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| 227 | DO ji = kideb, kiut |
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[4688] | 228 | !----------- |
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| 229 | ! Snow fall |
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| 230 | !----------- |
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| 231 | ! thickness change |
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[4872] | 232 | zcoeff = ( 1._wp - ( 1._wp - at_i_1d(ji) )**betas ) / at_i_1d(ji) |
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[825] | 233 | zdh_s_pre(ji) = zcoeff * sprecip_1d(ji) * rdt_ice / rhosn |
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[4688] | 234 | ! enthalpy of the precip (>0, J.m-3) (tatm_ice is now in K) |
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| 235 | zqprec (ji) = rhosn * ( cpic * ( rtt - MIN( tatm_ice_1d(ji), rt0_snow) ) + lfus ) |
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| 236 | IF( sprecip_1d(ji) == 0._wp ) zqprec(ji) = 0._wp |
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| 237 | ! heat flux from snow precip (>0, W.m-2) |
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[4872] | 238 | hfx_spr_1d(ji) = hfx_spr_1d(ji) + zdh_s_pre(ji) * a_i_1d(ji) * zqprec(ji) * r1_rdtice |
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[4688] | 239 | ! mass flux, <0 |
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[4872] | 240 | wfx_spr_1d(ji) = wfx_spr_1d(ji) - rhosn * a_i_1d(ji) * zdh_s_pre(ji) * r1_rdtice |
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[4688] | 241 | ! update thickness |
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[4872] | 242 | ht_s_1d (ji) = MAX( 0._wp , ht_s_1d(ji) + zdh_s_pre(ji) ) |
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[825] | 243 | |
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[4688] | 244 | !--------------------- |
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| 245 | ! Melt of falling snow |
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| 246 | !--------------------- |
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| 247 | ! thickness change |
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| 248 | IF( zdh_s_pre(ji) > 0._wp ) THEN |
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[4990] | 249 | rswitch = 1._wp - MAX( 0._wp , SIGN( 1._wp , - zqprec(ji) + epsi20 ) ) |
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| 250 | zdh_s_mel (ji) = - rswitch * zq_su(ji) / MAX( zqprec(ji) , epsi20 ) |
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[4688] | 251 | zdh_s_mel (ji) = MAX( - zdh_s_pre(ji), zdh_s_mel(ji) ) ! bound melting |
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| 252 | ! heat used to melt snow (W.m-2, >0) |
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[4872] | 253 | hfx_snw_1d(ji) = hfx_snw_1d(ji) - zdh_s_mel(ji) * a_i_1d(ji) * zqprec(ji) * r1_rdtice |
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[4688] | 254 | ! snow melting only = water into the ocean (then without snow precip), >0 |
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[4872] | 255 | wfx_snw_1d(ji) = wfx_snw_1d(ji) - rhosn * a_i_1d(ji) * zdh_s_mel(ji) * r1_rdtice |
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[4688] | 256 | |
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| 257 | ! updates available heat + thickness |
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| 258 | zq_su (ji) = MAX( 0._wp , zq_su (ji) + zdh_s_mel(ji) * zqprec(ji) ) |
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[4872] | 259 | ht_s_1d(ji) = MAX( 0._wp , ht_s_1d(ji) + zdh_s_mel(ji) ) |
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| 260 | zh_s (ji) = ht_s_1d(ji) / REAL( nlay_s ) |
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[4688] | 261 | |
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| 262 | ENDIF |
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[825] | 263 | END DO |
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| 264 | |
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[4688] | 265 | ! If heat still available, then melt more snow |
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| 266 | zdeltah(:,:) = 0._wp ! important |
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[825] | 267 | DO jk = 1, nlay_s |
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| 268 | DO ji = kideb, kiut |
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[4688] | 269 | ! thickness change |
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[4990] | 270 | rswitch = 1._wp - MAX( 0._wp, SIGN( 1._wp, - ht_s_1d(ji) ) ) |
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| 271 | rswitch = rswitch * ( 1._wp - MAX( 0._wp, SIGN( 1._wp, - q_s_1d(ji,jk) + epsi20 ) ) ) |
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| 272 | zdeltah (ji,jk) = - rswitch * zq_su(ji) / MAX( q_s_1d(ji,jk), epsi20 ) |
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[4688] | 273 | zdeltah (ji,jk) = MAX( zdeltah(ji,jk) , - zh_s(ji) ) ! bound melting |
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| 274 | zdh_s_mel(ji) = zdh_s_mel(ji) + zdeltah(ji,jk) |
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| 275 | ! heat used to melt snow(W.m-2, >0) |
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[4872] | 276 | hfx_snw_1d(ji) = hfx_snw_1d(ji) - zdeltah(ji,jk) * a_i_1d(ji) * q_s_1d(ji,jk) * r1_rdtice |
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[4688] | 277 | ! snow melting only = water into the ocean (then without snow precip) |
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[4872] | 278 | wfx_snw_1d(ji) = wfx_snw_1d(ji) - rhosn * a_i_1d(ji) * zdeltah(ji,jk) * r1_rdtice |
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[825] | 279 | |
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[4688] | 280 | ! updates available heat + thickness |
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[4872] | 281 | zq_su (ji) = MAX( 0._wp , zq_su (ji) + zdeltah(ji,jk) * q_s_1d(ji,jk) ) |
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| 282 | ht_s_1d(ji) = MAX( 0._wp , ht_s_1d(ji) + zdeltah(ji,jk) ) |
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[825] | 283 | |
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[1572] | 284 | END DO |
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| 285 | END DO |
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[825] | 286 | |
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[4688] | 287 | !---------------------- |
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| 288 | ! 3.2 Snow sublimation |
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| 289 | !---------------------- |
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| 290 | ! qla_ice is always >=0 (upwards), heat goes to the atmosphere, therefore snow sublimates |
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| 291 | ! clem comment: not counted in mass exchange in limsbc since this is an exchange with atm. (not ocean) |
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| 292 | ! clem comment: ice should also sublimate |
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| 293 | IF( lk_cpl ) THEN |
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| 294 | ! coupled mode: sublimation already included in emp_ice (to do in limsbc_ice) |
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| 295 | zdh_s_sub(:) = 0._wp |
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| 296 | ELSE |
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| 297 | ! forced mode: snow thickness change due to sublimation |
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[921] | 298 | DO ji = kideb, kiut |
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[4872] | 299 | zdh_s_sub(ji) = MAX( - ht_s_1d(ji) , - parsub * qla_ice_1d(ji) / ( rhosn * lsub ) * rdt_ice ) |
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[4688] | 300 | ! Heat flux by sublimation [W.m-2], < 0 |
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| 301 | ! sublimate first snow that had fallen, then pre-existing snow |
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| 302 | zcoeff = ( MAX( zdh_s_sub(ji), - MAX( 0._wp, zdh_s_pre(ji) + zdh_s_mel(ji) ) ) * zqprec(ji) + & |
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[4872] | 303 | & ( zdh_s_sub(ji) - MAX( zdh_s_sub(ji), - MAX( 0._wp, zdh_s_pre(ji) + zdh_s_mel(ji) ) ) ) * q_s_1d(ji,1) ) & |
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| 304 | & * a_i_1d(ji) * r1_rdtice |
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[4688] | 305 | hfx_sub_1d(ji) = hfx_sub_1d(ji) + zcoeff |
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| 306 | ! Mass flux by sublimation |
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[4872] | 307 | wfx_sub_1d(ji) = wfx_sub_1d(ji) - rhosn * a_i_1d(ji) * zdh_s_sub(ji) * r1_rdtice |
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[4688] | 308 | ! new snow thickness |
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[4872] | 309 | ht_s_1d(ji) = MAX( 0._wp , ht_s_1d(ji) + zdh_s_sub(ji) ) |
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[1572] | 310 | END DO |
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| 311 | ENDIF |
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[825] | 312 | |
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[4688] | 313 | ! --- Update snow diags --- ! |
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[825] | 314 | DO ji = kideb, kiut |
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[4688] | 315 | dh_s_tot(ji) = zdh_s_mel(ji) + zdh_s_pre(ji) + zdh_s_sub(ji) |
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[4872] | 316 | zh_s(ji) = ht_s_1d(ji) / REAL( nlay_s ) |
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[4688] | 317 | END DO ! ji |
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[825] | 318 | |
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[4688] | 319 | !------------------------------------------- |
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| 320 | ! 3.3 Update temperature, energy |
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| 321 | !------------------------------------------- |
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| 322 | ! new temp and enthalpy of the snow (remaining snow precip + remaining pre-existing snow) |
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| 323 | zq_s(:) = 0._wp |
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[825] | 324 | DO jk = 1, nlay_s |
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| 325 | DO ji = kideb,kiut |
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[4990] | 326 | rswitch = MAX( 0._wp , SIGN( 1._wp, - ht_s_1d(ji) + epsi20 ) ) |
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| 327 | q_s_1d(ji,jk) = ( 1._wp - rswitch ) / MAX( ht_s_1d(ji), epsi20 ) * & |
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[4688] | 328 | & ( ( MAX( 0._wp, dh_s_tot(ji) ) ) * zqprec(ji) + & |
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[4872] | 329 | & ( - MAX( 0._wp, dh_s_tot(ji) ) + ht_s_1d(ji) ) * rhosn * ( cpic * ( rtt - t_s_1d(ji,jk) ) + lfus ) ) |
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| 330 | zq_s(ji) = zq_s(ji) + q_s_1d(ji,jk) |
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[825] | 331 | END DO |
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| 332 | END DO |
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| 333 | |
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[4688] | 334 | !-------------------------- |
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| 335 | ! 3.4 Surface ice ablation |
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| 336 | !-------------------------- |
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| 337 | zdeltah(:,:) = 0._wp ! important |
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| 338 | DO jk = 1, nlay_i |
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| 339 | DO ji = kideb, kiut |
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[4872] | 340 | zEi = - q_i_1d(ji,jk) / rhoic ! Specific enthalpy of layer k [J/kg, <0] |
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[4688] | 341 | |
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[4872] | 342 | ztmelts = - tmut * s_i_1d(ji,jk) + rtt ! Melting point of layer k [K] |
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[4688] | 343 | |
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| 344 | zEw = rcp * ( ztmelts - rt0 ) ! Specific enthalpy of resulting meltwater [J/kg, <0] |
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| 345 | |
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| 346 | zdE = zEi - zEw ! Specific enthalpy difference < 0 |
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| 347 | |
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| 348 | zfmdt = - zq_su(ji) / zdE ! Mass flux to the ocean [kg/m2, >0] |
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| 349 | |
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| 350 | zdeltah(ji,jk) = - zfmdt / rhoic ! Melt of layer jk [m, <0] |
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| 351 | |
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| 352 | zdeltah(ji,jk) = MIN( 0._wp , MAX( zdeltah(ji,jk) , - zh_i(ji,jk) ) ) ! Melt of layer jk cannot exceed the layer thickness [m, <0] |
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| 353 | |
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| 354 | zq_su(ji) = MAX( 0._wp , zq_su(ji) - zdeltah(ji,jk) * rhoic * zdE ) ! update available heat |
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| 355 | |
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| 356 | dh_i_surf(ji) = dh_i_surf(ji) + zdeltah(ji,jk) ! Cumulate surface melt |
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| 357 | |
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| 358 | zfmdt = - rhoic * zdeltah(ji,jk) ! Recompute mass flux [kg/m2, >0] |
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| 359 | |
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| 360 | zQm = zfmdt * zEw ! Energy of the melt water sent to the ocean [J/m2, <0] |
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| 361 | |
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[4872] | 362 | ! Contribution to salt flux (clem: using sm_i_1d and not s_i_1d(jk) is ok) |
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| 363 | sfx_sum_1d(ji) = sfx_sum_1d(ji) - sm_i_1d(ji) * a_i_1d(ji) * zdeltah(ji,jk) * rhoic * r1_rdtice |
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[4688] | 364 | |
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| 365 | ! Contribution to heat flux [W.m-2], < 0 |
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[4872] | 366 | hfx_thd_1d(ji) = hfx_thd_1d(ji) + zfmdt * a_i_1d(ji) * zEw * r1_rdtice |
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[4688] | 367 | |
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| 368 | ! Total heat flux used in this process [W.m-2], > 0 |
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[4872] | 369 | hfx_sum_1d(ji) = hfx_sum_1d(ji) - zfmdt * a_i_1d(ji) * zdE * r1_rdtice |
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[4688] | 370 | |
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| 371 | ! Contribution to mass flux |
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[4872] | 372 | wfx_sum_1d(ji) = wfx_sum_1d(ji) - rhoic * a_i_1d(ji) * zdeltah(ji,jk) * r1_rdtice |
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[4688] | 373 | |
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| 374 | ! record which layers have disappeared (for bottom melting) |
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| 375 | ! => icount=0 : no layer has vanished |
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| 376 | ! => icount=5 : 5 layers have vanished |
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[4990] | 377 | rswitch = MAX( 0._wp , SIGN( 1._wp , - ( zh_i(ji,jk) + zdeltah(ji,jk) ) ) ) |
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| 378 | icount(ji) = icount(ji) + NINT( rswitch ) |
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[4688] | 379 | zh_i(ji,jk) = MAX( 0._wp , zh_i(ji,jk) + zdeltah(ji,jk) ) |
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| 380 | |
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| 381 | ! update heat content (J.m-2) and layer thickness |
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[4872] | 382 | qh_i_old(ji,jk) = qh_i_old(ji,jk) + zdeltah(ji,jk) * q_i_1d(ji,jk) |
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[4688] | 383 | h_i_old (ji,jk) = h_i_old (ji,jk) + zdeltah(ji,jk) |
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[825] | 384 | END DO |
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[921] | 385 | END DO |
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[4688] | 386 | ! update ice thickness |
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| 387 | DO ji = kideb, kiut |
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[4872] | 388 | ht_i_1d(ji) = MAX( 0._wp , ht_i_1d(ji) + dh_i_surf(ji) ) |
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[4688] | 389 | END DO |
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[825] | 390 | |
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[921] | 391 | ! |
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| 392 | !------------------------------------------------------------------------------! |
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| 393 | ! 4) Basal growth / melt ! |
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| 394 | !------------------------------------------------------------------------------! |
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| 395 | ! |
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[4688] | 396 | !------------------ |
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| 397 | ! 4.1 Basal growth |
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| 398 | !------------------ |
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| 399 | ! Basal growth is driven by heat imbalance at the ice-ocean interface, |
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| 400 | ! between the inner conductive flux (fc_bo_i), from the open water heat flux |
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| 401 | ! (fhld) and the turbulent ocean flux (fhtur). |
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| 402 | ! fc_bo_i is positive downwards. fhtur and fhld are positive to the ice |
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[825] | 403 | |
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[4688] | 404 | ! If salinity varies in time, an iterative procedure is required, because |
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| 405 | ! the involved quantities are inter-dependent. |
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| 406 | ! Basal growth (dh_i_bott) depends upon new ice specific enthalpy (zEi), |
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| 407 | ! which depends on forming ice salinity (s_i_new), which depends on dh/dt (dh_i_bott) |
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| 408 | ! -> need for an iterative procedure, which converges quickly |
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| 409 | |
---|
| 410 | IF ( num_sal == 2 ) THEN |
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| 411 | num_iter_max = 5 |
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| 412 | ELSE |
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| 413 | num_iter_max = 1 |
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[1572] | 414 | ENDIF |
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[825] | 415 | |
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[4688] | 416 | !clem debug. Just to be sure that enthalpy at nlay_i+1 is null |
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| 417 | DO ji = kideb, kiut |
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[4872] | 418 | q_i_1d(ji,nlay_i+1) = 0._wp |
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[4688] | 419 | END DO |
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[825] | 420 | |
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[4688] | 421 | ! Iterative procedure |
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| 422 | DO iter = 1, num_iter_max |
---|
| 423 | DO ji = kideb, kiut |
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| 424 | IF( zf_tt(ji) < 0._wp ) THEN |
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[825] | 425 | |
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[4688] | 426 | ! New bottom ice salinity (Cox & Weeks, JGR88 ) |
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| 427 | !--- zswi1 if dh/dt < 2.0e-8 |
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| 428 | !--- zswi12 if 2.0e-8 < dh/dt < 3.6e-7 |
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| 429 | !--- zswi2 if dh/dt > 3.6e-7 |
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| 430 | zgrr = MIN( 1.0e-3, MAX ( dh_i_bott(ji) * r1_rdtice , epsi10 ) ) |
---|
| 431 | zswi2 = MAX( 0._wp , SIGN( 1._wp , zgrr - 3.6e-7 ) ) |
---|
| 432 | zswi12 = MAX( 0._wp , SIGN( 1._wp , zgrr - 2.0e-8 ) ) * ( 1.0 - zswi2 ) |
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| 433 | zswi1 = 1. - zswi2 * zswi12 |
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| 434 | zfracs = MIN ( zswi1 * 0.12 + zswi12 * ( 0.8925 + 0.0568 * LOG( 100.0 * zgrr ) ) & |
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| 435 | & + zswi2 * 0.26 / ( 0.26 + 0.74 * EXP ( - 724300.0 * zgrr ) ) , 0.5 ) |
---|
[825] | 436 | |
---|
[4688] | 437 | ii = MOD( npb(ji) - 1, jpi ) + 1 ; ij = ( npb(ji) - 1 ) / jpi + 1 |
---|
[825] | 438 | |
---|
[4688] | 439 | s_i_new(ji) = zswitch_sal * zfracs * sss_m(ii,ij) & ! New ice salinity |
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[4872] | 440 | + ( 1. - zswitch_sal ) * sm_i_1d(ji) |
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[4688] | 441 | ! New ice growth |
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| 442 | ztmelts = - tmut * s_i_new(ji) + rtt ! New ice melting point (K) |
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[825] | 443 | |
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[4872] | 444 | zt_i_new = zswitch_sal * t_bo_1d(ji) + ( 1. - zswitch_sal) * t_i_1d(ji, nlay_i) |
---|
[4688] | 445 | |
---|
| 446 | zEi = cpic * ( zt_i_new - ztmelts ) & ! Specific enthalpy of forming ice (J/kg, <0) |
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| 447 | & - lfus * ( 1.0 - ( ztmelts - rtt ) / ( zt_i_new - rtt ) ) & |
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| 448 | & + rcp * ( ztmelts-rtt ) |
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| 449 | |
---|
[4872] | 450 | zEw = rcp * ( t_bo_1d(ji) - rt0 ) ! Specific enthalpy of seawater (J/kg, < 0) |
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[4688] | 451 | |
---|
| 452 | zdE = zEi - zEw ! Specific enthalpy difference (J/kg, <0) |
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| 453 | |
---|
| 454 | dh_i_bott(ji) = rdt_ice * MAX( 0._wp , zf_tt(ji) / ( zdE * rhoic ) ) |
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| 455 | |
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[4872] | 456 | q_i_1d(ji,nlay_i+1) = -zEi * rhoic ! New ice energy of melting (J/m3, >0) |
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[4688] | 457 | |
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| 458 | ENDIF ! fc_bo_i |
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| 459 | END DO ! ji |
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| 460 | END DO ! iter |
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| 461 | |
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| 462 | ! Contribution to Energy and Salt Fluxes |
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[825] | 463 | DO ji = kideb, kiut |
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[4688] | 464 | IF( zf_tt(ji) < 0._wp ) THEN |
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| 465 | ! New ice growth |
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| 466 | |
---|
| 467 | zfmdt = - rhoic * dh_i_bott(ji) ! Mass flux x time step (kg/m2, < 0) |
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| 468 | |
---|
| 469 | ztmelts = - tmut * s_i_new(ji) + rtt ! New ice melting point (K) |
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| 470 | |
---|
[4872] | 471 | zt_i_new = zswitch_sal * t_bo_1d(ji) + ( 1. - zswitch_sal) * t_i_1d(ji, nlay_i) |
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[4688] | 472 | |
---|
| 473 | zEi = cpic * ( zt_i_new - ztmelts ) & ! Specific enthalpy of forming ice (J/kg, <0) |
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| 474 | & - lfus * ( 1.0 - ( ztmelts - rtt ) / ( zt_i_new - rtt ) ) & |
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| 475 | & + rcp * ( ztmelts-rtt ) |
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| 476 | |
---|
[4872] | 477 | zEw = rcp * ( t_bo_1d(ji) - rt0 ) ! Specific enthalpy of seawater (J/kg, < 0) |
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[4688] | 478 | |
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| 479 | zdE = zEi - zEw ! Specific enthalpy difference (J/kg, <0) |
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| 480 | |
---|
| 481 | ! Contribution to heat flux to the ocean [W.m-2], >0 |
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[4872] | 482 | hfx_thd_1d(ji) = hfx_thd_1d(ji) + zfmdt * a_i_1d(ji) * zEw * r1_rdtice |
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[4688] | 483 | |
---|
| 484 | ! Total heat flux used in this process [W.m-2], <0 |
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[4872] | 485 | hfx_bog_1d(ji) = hfx_bog_1d(ji) - zfmdt * a_i_1d(ji) * zdE * r1_rdtice |
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[4688] | 486 | |
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| 487 | ! Contribution to salt flux, <0 |
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[4872] | 488 | sfx_bog_1d(ji) = sfx_bog_1d(ji) + s_i_new(ji) * a_i_1d(ji) * zfmdt * r1_rdtice |
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[4688] | 489 | |
---|
| 490 | ! Contribution to mass flux, <0 |
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[4872] | 491 | wfx_bog_1d(ji) = wfx_bog_1d(ji) - rhoic * a_i_1d(ji) * dh_i_bott(ji) * r1_rdtice |
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[4688] | 492 | |
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| 493 | ! update heat content (J.m-2) and layer thickness |
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[4872] | 494 | qh_i_old(ji,nlay_i+1) = qh_i_old(ji,nlay_i+1) + dh_i_bott(ji) * q_i_1d(ji,nlay_i+1) |
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[4688] | 495 | h_i_old (ji,nlay_i+1) = h_i_old (ji,nlay_i+1) + dh_i_bott(ji) |
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[825] | 496 | ENDIF |
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| 497 | END DO |
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| 498 | |
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[4688] | 499 | !---------------- |
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| 500 | ! 4.2 Basal melt |
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| 501 | !---------------- |
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| 502 | zdeltah(:,:) = 0._wp ! important |
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[825] | 503 | DO jk = nlay_i, 1, -1 |
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| 504 | DO ji = kideb, kiut |
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[4688] | 505 | IF( zf_tt(ji) >= 0._wp .AND. jk > icount(ji) ) THEN ! do not calculate where layer has already disappeared from surface melting |
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[825] | 506 | |
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[4872] | 507 | ztmelts = - tmut * s_i_1d(ji,jk) + rtt ! Melting point of layer jk (K) |
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[825] | 508 | |
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[4872] | 509 | IF( t_i_1d(ji,jk) >= ztmelts ) THEN !!! Internal melting |
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[825] | 510 | |
---|
[4872] | 511 | zEi = - q_i_1d(ji,jk) / rhoic ! Specific enthalpy of melting ice (J/kg, <0) |
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[825] | 512 | |
---|
[4872] | 513 | !!zEw = rcp * ( t_i_1d(ji,jk) - rtt ) ! Specific enthalpy of meltwater at T = t_i_1d (J/kg, <0) |
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[4161] | 514 | |
---|
[4688] | 515 | zdE = 0._wp ! Specific enthalpy difference (J/kg, <0) |
---|
| 516 | ! set up at 0 since no energy is needed to melt water...(it is already melted) |
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[4161] | 517 | |
---|
[4688] | 518 | zdeltah (ji,jk) = MIN( 0._wp , - zh_i(ji,jk) ) ! internal melting occurs when the internal temperature is above freezing |
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| 519 | ! this should normally not happen, but sometimes, heat diffusion leads to this |
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[825] | 520 | |
---|
[4688] | 521 | dh_i_bott (ji) = dh_i_bott(ji) + zdeltah(ji,jk) |
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[825] | 522 | |
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[4688] | 523 | zfmdt = - zdeltah(ji,jk) * rhoic ! Mass flux x time step > 0 |
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[825] | 524 | |
---|
[4688] | 525 | ! Contribution to heat flux to the ocean [W.m-2], <0 (ice enthalpy zEi is "sent" to the ocean) |
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[4872] | 526 | hfx_res_1d(ji) = hfx_res_1d(ji) + zfmdt * a_i_1d(ji) * zEi * r1_rdtice |
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[825] | 527 | |
---|
[4872] | 528 | ! Contribution to salt flux (clem: using sm_i_1d and not s_i_1d(jk) is ok) |
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| 529 | sfx_res_1d(ji) = sfx_res_1d(ji) - sm_i_1d(ji) * a_i_1d(ji) * zdeltah(ji,jk) * rhoic * r1_rdtice |
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[4688] | 530 | |
---|
| 531 | ! Contribution to mass flux |
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[4872] | 532 | wfx_res_1d(ji) = wfx_res_1d(ji) - rhoic * a_i_1d(ji) * zdeltah(ji,jk) * r1_rdtice |
---|
[825] | 533 | |
---|
[4688] | 534 | ! update heat content (J.m-2) and layer thickness |
---|
[4872] | 535 | qh_i_old(ji,jk) = qh_i_old(ji,jk) + zdeltah(ji,jk) * q_i_1d(ji,jk) |
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[4688] | 536 | h_i_old (ji,jk) = h_i_old (ji,jk) + zdeltah(ji,jk) |
---|
[825] | 537 | |
---|
[4688] | 538 | ELSE !!! Basal melting |
---|
[825] | 539 | |
---|
[4872] | 540 | zEi = - q_i_1d(ji,jk) / rhoic ! Specific enthalpy of melting ice (J/kg, <0) |
---|
[825] | 541 | |
---|
[4688] | 542 | zEw = rcp * ( ztmelts - rtt )! Specific enthalpy of meltwater (J/kg, <0) |
---|
[825] | 543 | |
---|
[4688] | 544 | zdE = zEi - zEw ! Specific enthalpy difference (J/kg, <0) |
---|
| 545 | |
---|
| 546 | zfmdt = - zq_bo(ji) / zdE ! Mass flux x time step (kg/m2, >0) |
---|
| 547 | |
---|
| 548 | zdeltah(ji,jk) = - zfmdt / rhoic ! Gross thickness change |
---|
| 549 | |
---|
| 550 | zdeltah(ji,jk) = MIN( 0._wp , MAX( zdeltah(ji,jk), - zh_i(ji,jk) ) ) ! bound thickness change |
---|
| 551 | |
---|
| 552 | zq_bo(ji) = MAX( 0._wp , zq_bo(ji) - zdeltah(ji,jk) * rhoic * zdE ) ! update available heat. MAX is necessary for roundup errors |
---|
| 553 | |
---|
| 554 | dh_i_bott(ji) = dh_i_bott(ji) + zdeltah(ji,jk) ! Update basal melt |
---|
| 555 | |
---|
| 556 | zfmdt = - zdeltah(ji,jk) * rhoic ! Mass flux x time step > 0 |
---|
| 557 | |
---|
| 558 | zQm = zfmdt * zEw ! Heat exchanged with ocean |
---|
| 559 | |
---|
| 560 | ! Contribution to heat flux to the ocean [W.m-2], <0 |
---|
[4872] | 561 | hfx_thd_1d(ji) = hfx_thd_1d(ji) + zfmdt * a_i_1d(ji) * zEw * r1_rdtice |
---|
[4688] | 562 | |
---|
[4872] | 563 | ! Contribution to salt flux (clem: using sm_i_1d and not s_i_1d(jk) is ok) |
---|
| 564 | sfx_bom_1d(ji) = sfx_bom_1d(ji) - sm_i_1d(ji) * a_i_1d(ji) * zdeltah(ji,jk) * rhoic * r1_rdtice |
---|
[4688] | 565 | |
---|
| 566 | ! Total heat flux used in this process [W.m-2], >0 |
---|
[4872] | 567 | hfx_bom_1d(ji) = hfx_bom_1d(ji) - zfmdt * a_i_1d(ji) * zdE * r1_rdtice |
---|
[4688] | 568 | |
---|
| 569 | ! Contribution to mass flux |
---|
[4872] | 570 | wfx_bom_1d(ji) = wfx_bom_1d(ji) - rhoic * a_i_1d(ji) * zdeltah(ji,jk) * r1_rdtice |
---|
[4688] | 571 | |
---|
| 572 | ! update heat content (J.m-2) and layer thickness |
---|
[4872] | 573 | qh_i_old(ji,jk) = qh_i_old(ji,jk) + zdeltah(ji,jk) * q_i_1d(ji,jk) |
---|
[4688] | 574 | h_i_old (ji,jk) = h_i_old (ji,jk) + zdeltah(ji,jk) |
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| 575 | ENDIF |
---|
| 576 | |
---|
| 577 | ENDIF |
---|
| 578 | END DO ! ji |
---|
| 579 | END DO ! jk |
---|
| 580 | |
---|
| 581 | !------------------------------------------------------------------------------! |
---|
| 582 | ! Excessive ablation in a 1-category model |
---|
| 583 | ! in a 1-category sea ice model, bottom ablation must not exceed hmelt (-0.15) |
---|
| 584 | !------------------------------------------------------------------------------! |
---|
| 585 | ! ??? keep ??? |
---|
| 586 | ! clem bug: I think this should be included above, so we would not have to |
---|
| 587 | ! track heat/salt/mass fluxes backwards |
---|
| 588 | ! IF( jpl == 1 ) THEN |
---|
| 589 | ! DO ji = kideb, kiut |
---|
| 590 | ! IF( zf_tt(ji) >= 0._wp ) THEN |
---|
| 591 | ! zdh = MAX( hmelt , dh_i_bott(ji) ) |
---|
| 592 | ! zdvres = zdh - dh_i_bott(ji) ! >=0 |
---|
| 593 | ! dh_i_bott(ji) = zdh |
---|
| 594 | ! |
---|
| 595 | ! ! excessive energy is sent to lateral ablation |
---|
[4990] | 596 | ! rswitch = MAX( 0._wp, SIGN( 1._wp , 1._wp - at_i_1d(ji) - epsi20 ) ) |
---|
| 597 | ! zq_1cat(ji) = rswitch * rhoic * lfus * at_i_1d(ji) / MAX( 1._wp - at_i_1d(ji) , epsi20 ) * zdvres ! J.m-2 >=0 |
---|
[4688] | 598 | ! |
---|
| 599 | ! ! correct salt and mass fluxes |
---|
[4872] | 600 | ! sfx_bom_1d(ji) = sfx_bom_1d(ji) - sm_i_1d(ji) * a_i_1d(ji) * zdvres * rhoic * r1_rdtice ! this is only a raw approximation |
---|
| 601 | ! wfx_bom_1d(ji) = wfx_bom_1d(ji) - rhoic * a_i_1d(ji) * zdvres * r1_rdtice |
---|
[4688] | 602 | ! ENDIF |
---|
| 603 | ! END DO |
---|
| 604 | ! ENDIF |
---|
| 605 | |
---|
[825] | 606 | !------------------------------------------- |
---|
[4688] | 607 | ! Update temperature, energy |
---|
[825] | 608 | !------------------------------------------- |
---|
| 609 | DO ji = kideb, kiut |
---|
[4872] | 610 | ht_i_1d(ji) = MAX( 0._wp , ht_i_1d(ji) + dh_i_bott(ji) ) |
---|
[4688] | 611 | END DO |
---|
[825] | 612 | |
---|
[4688] | 613 | !------------------------------------------- |
---|
| 614 | ! 5. What to do with remaining energy |
---|
| 615 | !------------------------------------------- |
---|
| 616 | ! If heat still available for melting and snow remains, then melt more snow |
---|
| 617 | !------------------------------------------- |
---|
| 618 | zdeltah(:,:) = 0._wp ! important |
---|
| 619 | DO ji = kideb, kiut |
---|
| 620 | zq_rema(ji) = zq_su(ji) + zq_bo(ji) |
---|
[4872] | 621 | ! zindh = 1._wp - MAX( 0._wp, SIGN( 1._wp, - ht_s_1d(ji) ) ) ! =1 if snow |
---|
[4688] | 622 | ! zindq = 1._wp - MAX( 0._wp, SIGN( 1._wp, - zq_s(ji) + epsi20 ) ) |
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| 623 | ! zdeltah (ji,1) = - zindh * zindq * zq_rema(ji) / MAX( zq_s(ji), epsi20 ) |
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[4872] | 624 | ! zdeltah (ji,1) = MIN( 0._wp , MAX( zdeltah(ji,1) , - ht_s_1d(ji) ) ) ! bound melting |
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[4688] | 625 | ! zdh_s_mel(ji) = zdh_s_mel(ji) + zdeltah(ji,1) |
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| 626 | ! dh_s_tot (ji) = dh_s_tot(ji) + zdeltah(ji,1) |
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[4872] | 627 | ! ht_s_1d (ji) = ht_s_1d(ji) + zdeltah(ji,1) |
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[4688] | 628 | ! |
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| 629 | ! zq_rema(ji) = zq_rema(ji) + zdeltah(ji,1) * zq_s(ji) ! update available heat (J.m-2) |
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| 630 | ! ! heat used to melt snow |
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[4872] | 631 | ! hfx_snw_1d(ji) = hfx_snw_1d(ji) - zdeltah(ji,1) * a_i_1d(ji) * zq_s(ji) * r1_rdtice ! W.m-2 (>0) |
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[4688] | 632 | ! ! Contribution to mass flux |
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[4872] | 633 | ! wfx_snw_1d(ji) = wfx_snw_1d(ji) - rhosn * a_i_1d(ji) * zdeltah(ji,1) * r1_rdtice |
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[4688] | 634 | ! |
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| 635 | ii = MOD( npb(ji) - 1, jpi ) + 1 ; ij = ( npb(ji) - 1 ) / jpi + 1 |
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| 636 | ! Remaining heat flux (W.m-2) is sent to the ocean heat budget |
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[4872] | 637 | hfx_out(ii,ij) = hfx_out(ii,ij) + ( zq_1cat(ji) + zq_rema(ji) * a_i_1d(ji) ) * r1_rdtice |
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[825] | 638 | |
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[4688] | 639 | IF( ln_nicep .AND. zq_rema(ji) < 0. .AND. lwp ) WRITE(numout,*) 'ALERTE zq_rema <0 = ', zq_rema(ji) |
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| 640 | END DO |
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| 641 | |
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[921] | 642 | ! |
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| 643 | !------------------------------------------------------------------------------| |
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| 644 | ! 6) Snow-Ice formation | |
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| 645 | !------------------------------------------------------------------------------| |
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[1572] | 646 | ! When snow load excesses Archimede's limit, snow-ice interface goes down under sea-level, |
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| 647 | ! flooding of seawater transforms snow into ice dh_snowice is positive for the ice |
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[825] | 648 | DO ji = kideb, kiut |
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[1572] | 649 | ! |
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[4872] | 650 | dh_snowice(ji) = MAX( 0._wp , ( rhosn * ht_s_1d(ji) + (rhoic-rau0) * ht_i_1d(ji) ) / ( rhosn+rau0-rhoic ) ) |
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[825] | 651 | |
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[4872] | 652 | ht_i_1d(ji) = ht_i_1d(ji) + dh_snowice(ji) |
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| 653 | ht_s_1d(ji) = ht_s_1d(ji) - dh_snowice(ji) |
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[825] | 654 | |
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[4688] | 655 | ! Salinity of snow ice |
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| 656 | ii = MOD( npb(ji) - 1, jpi ) + 1 ; ij = ( npb(ji) - 1 ) / jpi + 1 |
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[4872] | 657 | zs_snic = zswitch_sal * sss_m(ii,ij) * ( rhoic - rhosn ) / rhoic + ( 1. - zswitch_sal ) * sm_i_1d(ji) |
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[825] | 658 | |
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| 659 | ! entrapment during snow ice formation |
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[4688] | 660 | ! new salinity difference stored (to be used in limthd_ent.F90) |
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[4161] | 661 | IF ( num_sal == 2 ) THEN |
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[4990] | 662 | rswitch = MAX( 0._wp , SIGN( 1._wp , ht_i_1d(ji) - epsi10 ) ) |
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[4161] | 663 | ! salinity dif due to snow-ice formation |
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[4990] | 664 | dsm_i_si_1d(ji) = ( zs_snic - sm_i_1d(ji) ) * dh_snowice(ji) / MAX( ht_i_1d(ji), epsi10 ) * rswitch |
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[4161] | 665 | ! salinity dif due to bottom growth |
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[4688] | 666 | IF ( zf_tt(ji) < 0._wp ) THEN |
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[4990] | 667 | dsm_i_se_1d(ji) = ( s_i_new(ji) - sm_i_1d(ji) ) * dh_i_bott(ji) / MAX( ht_i_1d(ji), epsi10 ) * rswitch |
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[4161] | 668 | ENDIF |
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| 669 | ENDIF |
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[825] | 670 | |
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[4688] | 671 | ! Contribution to energy flux to the ocean [J/m2], >0 (if sst<0) |
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| 672 | ii = MOD( npb(ji) - 1, jpi ) + 1 ; ij = ( npb(ji) - 1 ) / jpi + 1 |
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| 673 | zfmdt = ( rhosn - rhoic ) * MAX( dh_snowice(ji), 0._wp ) ! <0 |
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| 674 | zsstK = sst_m(ii,ij) + rt0 |
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| 675 | zEw = rcp * ( zsstK - rt0 ) |
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| 676 | zQm = zfmdt * zEw |
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| 677 | |
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| 678 | ! Contribution to heat flux |
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[4872] | 679 | hfx_thd_1d(ji) = hfx_thd_1d(ji) + zfmdt * a_i_1d(ji) * zEw * r1_rdtice |
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[825] | 680 | |
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[4688] | 681 | ! Contribution to salt flux |
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[4872] | 682 | sfx_sni_1d(ji) = sfx_sni_1d(ji) + sss_m(ii,ij) * a_i_1d(ji) * zfmdt * r1_rdtice |
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[4688] | 683 | |
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| 684 | ! Contribution to mass flux |
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| 685 | ! All snow is thrown in the ocean, and seawater is taken to replace the volume |
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[4872] | 686 | wfx_sni_1d(ji) = wfx_sni_1d(ji) - a_i_1d(ji) * dh_snowice(ji) * rhoic * r1_rdtice |
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| 687 | wfx_snw_1d(ji) = wfx_snw_1d(ji) + a_i_1d(ji) * dh_snowice(ji) * rhosn * r1_rdtice |
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[4688] | 688 | |
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| 689 | ! update heat content (J.m-2) and layer thickness |
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[4872] | 690 | qh_i_old(ji,0) = qh_i_old(ji,0) + dh_snowice(ji) * q_s_1d(ji,1) + zfmdt * zEw |
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[4688] | 691 | h_i_old (ji,0) = h_i_old (ji,0) + dh_snowice(ji) |
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| 692 | |
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| 693 | ! Total ablation (to debug) |
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[4872] | 694 | IF( ht_i_1d(ji) <= 0._wp ) a_i_1d(ji) = 0._wp |
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[825] | 695 | |
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[4688] | 696 | END DO !ji |
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[4161] | 697 | |
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[2715] | 698 | ! |
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[4688] | 699 | !------------------------------------------- |
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| 700 | ! Update temperature, energy |
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| 701 | !------------------------------------------- |
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| 702 | !clem bug: we should take snow into account here |
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| 703 | DO ji = kideb, kiut |
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[4990] | 704 | rswitch = 1.0 - MAX( 0._wp , SIGN( 1._wp , - ht_i_1d(ji) ) ) |
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| 705 | t_su_1d(ji) = rswitch * t_su_1d(ji) + ( 1.0 - rswitch ) * rtt |
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[4688] | 706 | END DO ! ji |
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| 707 | |
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| 708 | DO jk = 1, nlay_s |
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| 709 | DO ji = kideb,kiut |
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| 710 | ! mask enthalpy |
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[4990] | 711 | rswitch = MAX( 0._wp , SIGN( 1._wp, - ht_s_1d(ji) ) ) |
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| 712 | q_s_1d(ji,jk) = ( 1.0 - rswitch ) * q_s_1d(ji,jk) |
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[4872] | 713 | ! recalculate t_s_1d from q_s_1d |
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[4990] | 714 | t_s_1d(ji,jk) = rtt + ( 1._wp - rswitch ) * ( - q_s_1d(ji,jk) / ( rhosn * cpic ) + lfus / cpic ) |
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[4688] | 715 | END DO |
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| 716 | END DO |
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| 717 | |
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| 718 | CALL wrk_dealloc( jpij, zh_s, zqprec, zq_su, zq_bo, zf_tt, zq_1cat, zq_rema ) |
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| 719 | CALL wrk_dealloc( jpij, zdh_s_mel, zdh_s_pre, zdh_s_sub, zqh_i, zqh_s, zq_s ) |
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[4873] | 720 | CALL wrk_dealloc( jpij, nlay_i+1, zdeltah, zh_i ) |
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[4688] | 721 | CALL wrk_dealloc( jpij, icount ) |
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[2715] | 722 | ! |
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[4161] | 723 | ! |
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[921] | 724 | END SUBROUTINE lim_thd_dh |
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[1572] | 725 | |
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[825] | 726 | #else |
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[1572] | 727 | !!---------------------------------------------------------------------- |
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| 728 | !! Default option NO LIM3 sea-ice model |
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| 729 | !!---------------------------------------------------------------------- |
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[825] | 730 | CONTAINS |
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| 731 | SUBROUTINE lim_thd_dh ! Empty routine |
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| 732 | END SUBROUTINE lim_thd_dh |
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| 733 | #endif |
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[1572] | 734 | |
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| 735 | !!====================================================================== |
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[921] | 736 | END MODULE limthd_dh |
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