[825] | 1 | MODULE limthd_ent |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE limthd_ent *** |
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| 4 | !! Redistribution of Enthalpy in the ice |
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| 5 | !! on the new vertical grid |
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| 6 | !! after vertical growth/decay |
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| 7 | !!====================================================================== |
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[2715] | 8 | !! History : LIM ! 2003-05 (M. Vancoppenolle) Original code in 1D |
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| 9 | !! ! 2005-07 (M. Vancoppenolle) 3D version |
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| 10 | !! ! 2006-11 (X. Fettweis) Vectorized |
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| 11 | !! 3.0 ! 2008-03 (M. Vancoppenolle) Energy conservation and clean code |
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| 12 | !! 4.0 ! 2011-02 (G. Madec) dynamical allocation |
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| 13 | !!---------------------------------------------------------------------- |
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[2528] | 14 | #if defined key_lim3 |
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| 15 | !!---------------------------------------------------------------------- |
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| 16 | !! 'key_lim3' LIM3 sea-ice model |
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| 17 | !!---------------------------------------------------------------------- |
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[3625] | 18 | !! lim_thd_ent : ice redistribution of enthalpy |
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[2528] | 19 | !!---------------------------------------------------------------------- |
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[3625] | 20 | USE par_oce ! ocean parameters |
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| 21 | USE dom_oce ! domain variables |
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| 22 | USE domain ! |
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| 23 | USE phycst ! physical constants |
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| 24 | USE ice ! LIM variables |
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| 25 | USE par_ice ! LIM parameters |
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| 26 | USE thd_ice ! LIM thermodynamics |
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| 27 | USE limvar ! LIM variables |
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| 28 | USE in_out_manager ! I/O manager |
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| 29 | USE lib_mpp ! MPP library |
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| 30 | USE wrk_nemo ! work arrays |
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| 31 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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[825] | 32 | |
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| 33 | IMPLICIT NONE |
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| 34 | PRIVATE |
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| 35 | |
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[3294] | 36 | PUBLIC lim_thd_ent ! called by lim_thd |
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[825] | 37 | |
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[4333] | 38 | REAL(wp) :: epsi20 = 1.e-20_wp ! constant values |
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| 39 | REAL(wp) :: epsi10 = 1.e-10_wp ! |
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[2715] | 40 | REAL(wp) :: zzero = 0._wp ! |
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| 41 | REAL(wp) :: zone = 1._wp ! |
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| 42 | |
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[825] | 43 | !!---------------------------------------------------------------------- |
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[4161] | 44 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
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[1156] | 45 | !! $Id$ |
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[2528] | 46 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[825] | 47 | !!---------------------------------------------------------------------- |
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| 48 | CONTAINS |
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[3294] | 49 | |
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[2715] | 50 | SUBROUTINE lim_thd_ent( kideb, kiut, jl ) |
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[825] | 51 | !!------------------------------------------------------------------- |
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| 52 | !! *** ROUTINE lim_thd_ent *** |
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| 53 | !! |
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| 54 | !! ** Purpose : |
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| 55 | !! This routine computes new vertical grids |
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| 56 | !! in the ice and in the snow, and consistently redistributes |
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| 57 | !! temperatures in the snow / ice. |
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| 58 | !! Redistribution is made so as to ensure to energy conservation |
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| 59 | !! |
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| 60 | !! |
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| 61 | !! ** Method : linear conservative remapping |
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| 62 | !! |
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[834] | 63 | !! ** Steps : 1) Grid |
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| 64 | !! 2) Switches |
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| 65 | !! 3) Snow redistribution |
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| 66 | !! 4) Ice enthalpy redistribution |
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| 67 | !! 5) Ice salinity, recover temperature |
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[825] | 68 | !! |
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[2715] | 69 | !! References : Bitz & Lipscomb, JGR 99; Vancoppenolle et al., GRL, 2005 |
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| 70 | !!------------------------------------------------------------------- |
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| 71 | INTEGER , INTENT(in) :: kideb, kiut ! Start/End point on which the the computation is applied |
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| 72 | INTEGER , INTENT(in) :: jl ! Thickness cateogry number |
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[825] | 73 | |
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[2715] | 74 | INTEGER :: ji,jk ! dummy loop indices |
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[4161] | 75 | INTEGER :: ii, ij , & ! dummy indices |
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[825] | 76 | ntop0 , & ! old layer top index |
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| 77 | nbot1 , & ! new layer bottom index |
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| 78 | ntop1 , & ! new layer top index |
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| 79 | limsum , & ! temporary loop index |
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| 80 | nlayi0,nlays0 , & ! old number of layers |
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| 81 | maxnbot0 , & ! old layer bottom index |
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| 82 | layer0, layer1 ! old/new layer indexes |
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| 83 | |
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| 84 | |
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| 85 | REAL(wp) :: & |
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| 86 | ztmelts , & ! ice melting point |
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| 87 | zqsnic , & ! enthalpy of snow ice layer |
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| 88 | zhsnow , & ! temporary snow thickness variable |
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| 89 | zswitch , & ! dummy switch argument |
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| 90 | zfac1 , & ! dummy factor |
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| 91 | zfac2 , & ! dummy factor |
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| 92 | ztform , & !: bottom formation temperature |
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| 93 | zaaa , & !: dummy factor |
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| 94 | zbbb , & !: dummy factor |
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| 95 | zccc , & !: dummy factor |
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| 96 | zdiscrim !: dummy factor |
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| 97 | |
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[3294] | 98 | INTEGER, POINTER, DIMENSION(:) :: snswi ! snow switch |
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| 99 | INTEGER, POINTER, DIMENSION(:) :: nbot0 ! old layer bottom index |
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| 100 | INTEGER, POINTER, DIMENSION(:) :: icsuind ! ice surface index |
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| 101 | INTEGER, POINTER, DIMENSION(:) :: icsuswi ! ice surface switch |
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| 102 | INTEGER, POINTER, DIMENSION(:) :: icboind ! ice bottom index |
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| 103 | INTEGER, POINTER, DIMENSION(:) :: icboswi ! ice bottom switch |
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| 104 | INTEGER, POINTER, DIMENSION(:) :: snicind ! snow ice index |
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| 105 | INTEGER, POINTER, DIMENSION(:) :: snicswi ! snow ice switch |
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| 106 | INTEGER, POINTER, DIMENSION(:) :: snind ! snow index |
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[2715] | 107 | ! |
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[3294] | 108 | REAL(wp), POINTER, DIMENSION(:) :: zh_i ! thickness of an ice layer |
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| 109 | REAL(wp), POINTER, DIMENSION(:) :: zh_s ! thickness of a snow layer |
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| 110 | REAL(wp), POINTER, DIMENSION(:) :: zqsnow ! enthalpy of the snow put in snow ice |
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| 111 | REAL(wp), POINTER, DIMENSION(:) :: zdeltah ! temporary variable |
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| 112 | REAL(wp), POINTER, DIMENSION(:) :: zqti_in, zqts_in |
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| 113 | REAL(wp), POINTER, DIMENSION(:) :: zqti_fin, zqts_fin |
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| 114 | |
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| 115 | REAL(wp), POINTER, DIMENSION(:,:) :: zm0 ! old layer-system vertical cotes |
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| 116 | REAL(wp), POINTER, DIMENSION(:,:) :: qm0 ! old layer-system heat content |
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| 117 | REAL(wp), POINTER, DIMENSION(:,:) :: z_s ! new snow system vertical cotes |
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| 118 | REAL(wp), POINTER, DIMENSION(:,:) :: z_i ! new ice system vertical cotes |
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| 119 | REAL(wp), POINTER, DIMENSION(:,:) :: zthick0 ! old ice thickness |
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| 120 | REAL(wp), POINTER, DIMENSION(:,:) :: zhl0 ! old and new layer thicknesses |
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| 121 | REAL(wp), POINTER, DIMENSION(:,:) :: zrl01 |
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[4333] | 122 | |
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| 123 | REAL(wp) :: zinda |
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[2715] | 124 | !!------------------------------------------------------------------- |
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[825] | 125 | |
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[3294] | 126 | CALL wrk_alloc( jpij, snswi, nbot0, icsuind, icsuswi, icboind, icboswi, snicind, snicswi, snind ) ! integer |
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| 127 | CALL wrk_alloc( jpij, zh_i, zh_s, zqsnow, zdeltah, zqti_in, zqts_in, zqti_fin, zqts_fin ) ! real |
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| 128 | CALL wrk_alloc( jpij,jkmax+4, zm0, qm0, z_s, z_i, zthick0, zhl0, kjstart = 0 ) |
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| 129 | CALL wrk_alloc( jkmax+4,jkmax+4, zrl01, kistart = 0, kjstart = 0 ) |
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[825] | 130 | |
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[2715] | 131 | zthick0(:,:) = 0._wp |
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| 132 | zm0 (:,:) = 0._wp |
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| 133 | qm0 (:,:) = 0._wp |
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| 134 | zrl01 (:,:) = 0._wp |
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| 135 | zhl0 (:,:) = 0._wp |
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| 136 | z_i (:,:) = 0._wp |
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| 137 | z_s (:,:) = 0._wp |
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[825] | 138 | |
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[921] | 139 | ! |
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| 140 | !------------------------------------------------------------------------------| |
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| 141 | ! 1) Grid | |
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| 142 | !------------------------------------------------------------------------------| |
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[2715] | 143 | nlays0 = nlay_s |
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| 144 | nlayi0 = nlay_i |
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[825] | 145 | |
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| 146 | DO ji = kideb, kiut |
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[4161] | 147 | zh_i(ji) = old_ht_i_b(ji) / REAL( nlay_i ) |
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| 148 | zh_s(ji) = old_ht_s_b(ji) / REAL( nlay_s ) |
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[2715] | 149 | END DO |
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[825] | 150 | |
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[921] | 151 | ! |
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| 152 | !------------------------------------------------------------------------------| |
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| 153 | ! 2) Switches | |
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| 154 | !------------------------------------------------------------------------------| |
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[825] | 155 | ! 2.1 snind(ji), snswi(ji) |
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| 156 | ! snow surface behaviour : computation of snind(ji)-snswi(ji) |
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| 157 | ! snind(ji) : index which equals |
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| 158 | ! 0 if snow is accumulating |
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| 159 | ! 1 if 1st layer is melting |
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| 160 | ! 2 if 2nd layer is melting ... |
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| 161 | DO ji = kideb, kiut |
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[2715] | 162 | snind (ji) = 0 |
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| 163 | zdeltah(ji) = 0._wp |
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[825] | 164 | ENDDO !ji |
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| 165 | |
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| 166 | DO jk = 1, nlays0 |
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[921] | 167 | DO ji = kideb, kiut |
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[4161] | 168 | snind(ji) = jk * NINT(MAX(0.0,SIGN(1.0,-dh_s_tot(ji)-zdeltah(ji)))) & |
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| 169 | + snind(ji) * (1 - NINT(MAX(0.0,SIGN(1.0,-dh_s_tot(ji)-zdeltah(ji))))) |
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[921] | 170 | zdeltah(ji)= zdeltah(ji) + zh_s(ji) |
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| 171 | END DO ! ji |
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[2715] | 172 | END DO ! jk |
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[825] | 173 | |
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| 174 | ! snswi(ji) : switch which value equals 1 if snow melts |
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| 175 | ! 0 if not |
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| 176 | DO ji = kideb, kiut |
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[4161] | 177 | snswi(ji) = MAX(0,NINT(-dh_s_tot(ji)/MAX(epsi20,ABS(dh_s_tot(ji))))) |
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[2715] | 178 | END DO ! ji |
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[921] | 179 | |
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[825] | 180 | ! 2.2 icsuind(ji), icsuswi(ji) |
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| 181 | ! ice surface behaviour : computation of icsuind(ji)-icsuswi(ji) |
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| 182 | ! icsuind(ji) : index which equals |
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| 183 | ! 0 if nothing happens at the surface |
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| 184 | ! 1 if first layer is melting |
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| 185 | ! 2 if 2nd layer is reached by melt ... |
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| 186 | DO ji = kideb, kiut |
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[2715] | 187 | icsuind(ji) = 0 |
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| 188 | zdeltah(ji) = 0._wp |
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| 189 | END DO !ji |
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[825] | 190 | DO jk = 1, nlayi0 |
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[921] | 191 | DO ji = kideb, kiut |
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[4161] | 192 | icsuind(ji) = jk * NINT(MAX(0.0,SIGN(1.0,-dh_i_surf(ji)-zdeltah(ji)))) & |
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| 193 | + icsuind(ji) * (1 - NINT(MAX(0.0,SIGN(1.0,-dh_i_surf(ji)-zdeltah(ji))))) |
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[921] | 194 | zdeltah(ji) = zdeltah(ji) + zh_i(ji) |
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| 195 | END DO ! ji |
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[825] | 196 | ENDDO !jk |
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| 197 | |
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| 198 | ! icsuswi(ji) : switch which equals |
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| 199 | ! 1 if ice melts at the surface |
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| 200 | ! 0 if not |
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| 201 | DO ji = kideb, kiut |
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[4161] | 202 | icsuswi(ji) = MAX(0,NINT(-dh_i_surf(ji)/MAX(epsi20 , ABS(dh_i_surf(ji)) ) ) ) |
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[825] | 203 | ENDDO |
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| 204 | |
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| 205 | ! 2.3 icboind(ji), icboswi(ji) |
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| 206 | ! ice bottom behaviour : computation of icboind(ji)-icboswi(ji) |
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| 207 | ! icboind(ji) : index which equals |
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| 208 | ! 0 if accretion is on the way |
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| 209 | ! 1 if last layer has started to melt |
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| 210 | ! 2 if penultiem layer is melting ... and so on |
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| 211 | ! N+1 if all layers melt and that snow transforms into ice |
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| 212 | DO ji = kideb, kiut |
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[2715] | 213 | icboind(ji) = 0 |
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| 214 | zdeltah(ji) = 0._wp |
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| 215 | END DO |
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[825] | 216 | DO jk = nlayi0, 1, -1 |
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[921] | 217 | DO ji = kideb, kiut |
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[4161] | 218 | icboind(ji) = (nlayi0+1-jk) * NINT(MAX(0.0,SIGN(1.0,-dh_i_bott(ji)-zdeltah(ji)))) & |
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| 219 | & + icboind(ji) * (1 - NINT(MAX(0.0,SIGN(1.0,-dh_i_bott(ji)-zdeltah(ji))))) |
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[921] | 220 | zdeltah(ji) = zdeltah(ji) + zh_i(ji) |
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| 221 | END DO |
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[2715] | 222 | END DO |
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[825] | 223 | |
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| 224 | DO ji = kideb, kiut |
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| 225 | ! case of total ablation with remaining snow |
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[2715] | 226 | IF ( ( ht_i_b(ji) .GT. epsi20 ) .AND. & |
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| 227 | ( ht_i_b(ji) - dh_snowice(ji) .LT. epsi20 ) ) icboind(ji) = nlay_i + 1 |
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[825] | 228 | END DO |
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| 229 | |
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| 230 | ! icboswi(ji) : switch which equals |
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| 231 | ! 1 if ice accretion is on the way |
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| 232 | ! 0 if ablation is on the way |
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| 233 | DO ji = kideb, kiut |
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[4161] | 234 | icboswi(ji) = MAX(0,NINT(dh_i_bott(ji) / MAX(epsi20,ABS(dh_i_bott(ji))))) |
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[2715] | 235 | END DO |
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[825] | 236 | |
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| 237 | ! 2.4 snicind(ji), snicswi(ji) |
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| 238 | ! snow ice formation : calcul de snicind(ji)-snicswi(ji) |
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| 239 | ! snicind(ji) : index which equals |
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| 240 | ! 0 if no snow-ice forms |
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| 241 | ! 1 if last layer of snow has started to melt |
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| 242 | ! 2 if penultiem layer ... |
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| 243 | DO ji = kideb, kiut |
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[2715] | 244 | snicind(ji) = 0 |
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| 245 | zdeltah(ji) = 0._wp |
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| 246 | END DO |
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[825] | 247 | DO jk = nlays0, 1, -1 |
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[921] | 248 | DO ji = kideb, kiut |
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| 249 | snicind(ji) = (nlays0+1-jk) & |
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[4161] | 250 | * NINT(MAX(0.0,SIGN(1.0,dh_snowice(ji)-zdeltah(ji)))) + snicind(ji) & |
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| 251 | * (1 - NINT(MAX(0.0,SIGN(1.0,dh_snowice(ji)-zdeltah(ji))))) |
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[921] | 252 | zdeltah(ji) = zdeltah(ji) + zh_s(ji) |
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| 253 | END DO |
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[2715] | 254 | END DO |
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[825] | 255 | |
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| 256 | ! snicswi(ji) : switch which equals |
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| 257 | ! 1 if snow-ice forms |
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| 258 | ! 0 if not |
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| 259 | DO ji = kideb, kiut |
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[4161] | 260 | snicswi(ji) = MAX(0,NINT(dh_snowice(ji)/MAX(epsi20,ABS(dh_snowice(ji))))) |
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[825] | 261 | ENDDO |
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| 262 | |
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[921] | 263 | ! |
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| 264 | !------------------------------------------------------------------------------| |
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| 265 | ! 3) Snow redistribution | |
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| 266 | !------------------------------------------------------------------------------| |
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| 267 | ! |
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[825] | 268 | !------------- |
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| 269 | ! Old profile |
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| 270 | !------------- |
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| 271 | |
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| 272 | ! by 'old', it is meant that layers coming from accretion are included, |
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| 273 | ! and that interfacial layers which were partly melted are reduced |
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| 274 | |
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| 275 | ! indexes of the vectors |
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| 276 | !------------------------ |
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[2715] | 277 | ntop0 = 1 |
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| 278 | maxnbot0 = 0 |
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[825] | 279 | |
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| 280 | DO ji = kideb, kiut |
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[4161] | 281 | nbot0(ji) = nlays0 + 1 - snind(ji) + ( 1 - snicind(ji) ) * snicswi(ji) |
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[921] | 282 | ! cotes of the top of the layers |
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[2715] | 283 | zm0(ji,0) = 0._wp |
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| 284 | maxnbot0 = MAX ( maxnbot0 , nbot0(ji) ) |
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| 285 | END DO |
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| 286 | IF( lk_mpp ) CALL mpp_max( maxnbot0, kcom=ncomm_ice ) |
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[825] | 287 | |
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| 288 | DO jk = 1, maxnbot0 |
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[921] | 289 | DO ji = kideb, kiut |
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| 290 | !change |
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[2715] | 291 | limsum = ( 1 - snswi(ji) ) * ( jk - 1 ) + snswi(ji) * ( jk + snind(ji) - 1 ) |
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| 292 | limsum = MIN( limsum , nlay_s ) |
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[4161] | 293 | zm0(ji,jk) = dh_s_tot(ji) + zh_s(ji) * REAL( limsum ) |
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[921] | 294 | END DO |
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[2715] | 295 | END DO |
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[825] | 296 | |
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| 297 | DO ji = kideb, kiut |
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[4161] | 298 | zm0(ji,nbot0(ji)) = dh_s_tot(ji) - REAL( snicswi(ji) ) * dh_snowice(ji) + zh_s(ji) * REAL( nlays0 ) |
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| 299 | zm0(ji,1) = dh_s_tot(ji) * REAL( 1 - snswi(ji) ) + REAL( snswi(ji) ) * zm0(ji,1) |
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[2715] | 300 | END DO |
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[825] | 301 | |
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| 302 | DO jk = ntop0, maxnbot0 |
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[921] | 303 | DO ji = kideb, kiut |
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[2715] | 304 | zthick0(ji,jk) = zm0(ji,jk) - zm0(ji,jk-1) ! layer thickness |
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[921] | 305 | END DO |
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[2715] | 306 | END DO |
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[825] | 307 | |
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[2715] | 308 | zqts_in(:) = 0._wp |
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[921] | 309 | |
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[2715] | 310 | DO ji = kideb, kiut ! layer heat content |
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[4161] | 311 | qm0 (ji,1) = rhosn * ( cpic * ( rtt - REAL( 1 - snswi(ji) ) * tatm_ice_1d(ji) & |
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| 312 | & - REAL( snswi(ji) ) * t_s_b (ji,1) ) & |
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[2715] | 313 | & + lfus ) * zthick0(ji,1) |
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| 314 | zqts_in(ji) = zqts_in(ji) + qm0(ji,1) |
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| 315 | END DO |
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[825] | 316 | |
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| 317 | DO jk = 2, maxnbot0 |
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[921] | 318 | DO ji = kideb, kiut |
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[2715] | 319 | limsum = ( 1 - snswi(ji) ) * ( jk - 1 ) + snswi(ji) * ( jk + snind(ji) - 1 ) |
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[921] | 320 | limsum = MIN( limsum , nlay_s ) |
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[2715] | 321 | qm0(ji,jk) = rhosn * ( cpic * ( rtt - t_s_b(ji,limsum) ) + lfus ) * zthick0(ji,jk) |
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[4161] | 322 | zswitch = 1.0 - MAX (0.0, SIGN ( 1.0, - ht_s_b(ji) ) ) |
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| 323 | zqts_in(ji) = zqts_in(ji) + REAL( 1 - snswi(ji) ) * qm0(ji,jk) * zswitch |
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[921] | 324 | END DO ! jk |
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[2715] | 325 | END DO ! ji |
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[825] | 326 | |
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| 327 | !------------------------------------------------ |
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| 328 | ! Energy given by the snow in snow-ice formation |
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| 329 | !------------------------------------------------ |
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| 330 | ! zqsnow, enthalpy of the flooded snow |
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| 331 | DO ji = kideb, kiut |
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[2715] | 332 | zqsnow (ji) = rhosn * lfus |
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| 333 | zdeltah(ji) = 0._wp |
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| 334 | END DO |
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[825] | 335 | |
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| 336 | DO jk = nlays0, 1, -1 |
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[921] | 337 | DO ji = kideb, kiut |
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[2715] | 338 | zhsnow = MAX( 0._wp , dh_snowice(ji)-zdeltah(ji) ) |
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| 339 | zqsnow (ji) = zqsnow (ji) + rhosn*cpic*(rtt-t_s_b(ji,jk)) |
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[921] | 340 | zdeltah(ji) = zdeltah(ji) + zh_s(ji) |
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| 341 | END DO |
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[2715] | 342 | END DO |
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[825] | 343 | |
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| 344 | DO ji = kideb, kiut |
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| 345 | zqsnow(ji) = zqsnow(ji) * dh_snowice(ji) |
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| 346 | END DO |
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| 347 | |
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| 348 | !------------------ |
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[834] | 349 | ! new snow profile |
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[825] | 350 | !------------------ |
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| 351 | |
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| 352 | !-------------- |
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| 353 | ! Vector index |
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| 354 | !-------------- |
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[2715] | 355 | ntop1 = 1 |
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| 356 | nbot1 = nlay_s |
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[825] | 357 | |
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| 358 | !------------------- |
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| 359 | ! Layer coordinates |
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| 360 | !------------------- |
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| 361 | DO ji = kideb, kiut |
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[4161] | 362 | zh_s(ji) = ht_s_b(ji) / REAL( nlay_s ) |
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[2715] | 363 | z_s(ji,0) = 0._wp |
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[825] | 364 | ENDDO |
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| 365 | |
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| 366 | DO jk = 1, nlay_s |
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[921] | 367 | DO ji = kideb, kiut |
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[4161] | 368 | z_s(ji,jk) = zh_s(ji) * REAL( jk ) |
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[921] | 369 | END DO |
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[2715] | 370 | END DO |
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[825] | 371 | |
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| 372 | !----------------- |
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| 373 | ! Layer thickness |
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| 374 | !----------------- |
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| 375 | DO layer0 = ntop0, maxnbot0 |
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[921] | 376 | DO ji = kideb, kiut |
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| 377 | zhl0(ji,layer0) = zm0(ji,layer0) - zm0(ji,layer0-1) |
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| 378 | END DO |
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[2715] | 379 | END DO |
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[825] | 380 | |
---|
| 381 | DO layer1 = ntop1, nbot1 |
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[921] | 382 | DO ji = kideb, kiut |
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[2715] | 383 | q_s_b(ji,layer1) = 0._wp |
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[921] | 384 | END DO |
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[2715] | 385 | END DO |
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[825] | 386 | |
---|
| 387 | !---------------- |
---|
| 388 | ! Weight factors |
---|
| 389 | !---------------- |
---|
| 390 | DO layer0 = ntop0, maxnbot0 |
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[921] | 391 | DO layer1 = ntop1, nbot1 |
---|
| 392 | DO ji = kideb, kiut |
---|
[4333] | 393 | zinda = MAX( 0._wp, SIGN( 1._wp , zhl0(ji,layer0) - epsi10 ) ) |
---|
| 394 | zrl01(layer1,layer0) = zinda * MAX(0.0,( MIN(zm0(ji,layer0),z_s(ji,layer1)) & |
---|
[2715] | 395 | & - MAX(zm0(ji,layer0-1), z_s(ji,layer1-1))) / MAX(zhl0(ji,layer0),epsi10)) |
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| 396 | q_s_b(ji,layer1) = q_s_b(ji,layer1) + zrl01(layer1,layer0)*qm0(ji,layer0) & |
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[4161] | 397 | & * MAX(0.0,SIGN(1.0,REAL(nbot0(ji)-layer0))) |
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[921] | 398 | END DO |
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| 399 | END DO |
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[2715] | 400 | END DO |
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[825] | 401 | |
---|
| 402 | ! Heat conservation |
---|
[2715] | 403 | zqts_fin(:) = 0._wp |
---|
[825] | 404 | DO jk = 1, nlay_s |
---|
| 405 | DO ji = kideb, kiut |
---|
| 406 | zqts_fin(ji) = zqts_fin(ji) + q_s_b(ji,jk) |
---|
| 407 | END DO |
---|
| 408 | END DO |
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| 409 | |
---|
[4333] | 410 | IF ( con_i .AND. jiindex_1d > 0 ) THEN |
---|
[921] | 411 | DO ji = kideb, kiut |
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[3625] | 412 | IF ( ABS ( zqts_in(ji) - zqts_fin(ji) ) * r1_rdtice > 1.0e-6 ) THEN |
---|
[4161] | 413 | ii = MOD( npb(ji) - 1, jpi ) + 1 |
---|
| 414 | ij = ( npb(ji) - 1 ) / jpi + 1 |
---|
| 415 | WRITE(numout,*) ' violation of heat conservation : ', ABS ( zqts_in(ji) - zqts_fin(ji) ) * r1_rdtice |
---|
| 416 | WRITE(numout,*) ' ji, jj : ', ii, ij |
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[921] | 417 | WRITE(numout,*) ' ht_s_b : ', ht_s_b(ji) |
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[3625] | 418 | WRITE(numout,*) ' zqts_in : ', zqts_in (ji) * r1_rdtice |
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| 419 | WRITE(numout,*) ' zqts_fin : ', zqts_fin(ji) * r1_rdtice |
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[921] | 420 | WRITE(numout,*) ' dh_snowice : ', dh_snowice(ji) |
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| 421 | WRITE(numout,*) ' dh_s_tot : ', dh_s_tot(ji) |
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| 422 | WRITE(numout,*) ' snswi : ', snswi(ji) |
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| 423 | ENDIF |
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| 424 | END DO |
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[825] | 425 | ENDIF |
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| 426 | |
---|
| 427 | !--------------------- |
---|
| 428 | ! Recover heat content |
---|
| 429 | !--------------------- |
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[1724] | 430 | DO jk = 1, nlay_s |
---|
[825] | 431 | DO ji = kideb, kiut |
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[4333] | 432 | zinda = MAX( 0._wp, SIGN( 1._wp , zh_s(ji) - epsi10 ) ) |
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| 433 | q_s_b(ji,jk) = zinda * q_s_b(ji,jk) / MAX( zh_s(ji) , epsi10 ) |
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[825] | 434 | END DO !ji |
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[2715] | 435 | END DO !jk |
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[825] | 436 | |
---|
| 437 | !--------------------- |
---|
| 438 | ! Recover temperature |
---|
| 439 | !--------------------- |
---|
| 440 | zfac1 = 1. / ( rhosn * cpic ) |
---|
| 441 | zfac2 = lfus / cpic |
---|
| 442 | DO jk = 1, nlay_s |
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[921] | 443 | DO ji = kideb, kiut |
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[4161] | 444 | zswitch = MAX ( 0.0 , SIGN ( 1.0, - ht_s_b(ji) ) ) |
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[2715] | 445 | t_s_b(ji,jk) = rtt + ( 1.0 - zswitch ) * ( - zfac1 * q_s_b(ji,jk) + zfac2 ) |
---|
[921] | 446 | END DO |
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[2715] | 447 | END DO |
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[921] | 448 | ! |
---|
| 449 | !------------------------------------------------------------------------------| |
---|
| 450 | ! 4) Ice redistribution | |
---|
| 451 | !------------------------------------------------------------------------------| |
---|
| 452 | ! |
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[825] | 453 | !------------- |
---|
| 454 | ! OLD PROFILE |
---|
| 455 | !------------- |
---|
| 456 | |
---|
| 457 | !---------------- |
---|
| 458 | ! Vector indexes |
---|
| 459 | !---------------- |
---|
[2715] | 460 | ntop0 = 1 |
---|
| 461 | maxnbot0 = 0 |
---|
[825] | 462 | |
---|
| 463 | DO ji = kideb, kiut |
---|
[921] | 464 | ! reference number of the bottommost layer |
---|
[2715] | 465 | nbot0(ji) = MAX( 1 , MIN( nlayi0 + ( 1 - icboind(ji) ) + & |
---|
| 466 | & ( 1 - icsuind(ji) ) * icsuswi(ji) + snicswi(ji) , nlay_i + 2 ) ) |
---|
[825] | 467 | ! maximum reference number of the bottommost layer over all domain |
---|
[2715] | 468 | maxnbot0 = MAX( maxnbot0 , nbot0(ji) ) |
---|
| 469 | END DO |
---|
[825] | 470 | |
---|
| 471 | !------------------------- |
---|
| 472 | ! Cotes of old ice layers |
---|
| 473 | !------------------------- |
---|
[2777] | 474 | zm0(:,0) = 0._wp |
---|
[921] | 475 | |
---|
[825] | 476 | DO jk = 1, maxnbot0 |
---|
| 477 | DO ji = kideb, kiut |
---|
| 478 | ! jk goes from 1 to nbot0 |
---|
| 479 | ! the ice layer number goes from 1 to nlay_i |
---|
| 480 | ! limsum is the real ice layer number corresponding to present jk |
---|
[834] | 481 | limsum = ( (icsuswi(ji)*(icsuind(ji)+jk-1) + & |
---|
[921] | 482 | (1-icsuswi(ji))*jk))*(1-snicswi(ji)) + (jk-1)*snicswi(ji) |
---|
[4161] | 483 | zm0(ji,jk)= REAL(icsuswi(ji))*dh_i_surf(ji) + REAL(snicswi(ji))*dh_snowice(ji) & |
---|
| 484 | + REAL(limsum) * zh_i(ji) |
---|
[825] | 485 | END DO |
---|
[2715] | 486 | END DO |
---|
[825] | 487 | |
---|
| 488 | DO ji = kideb, kiut |
---|
[4161] | 489 | zm0(ji,nbot0(ji)) = REAL(icsuswi(ji))*dh_i_surf(ji) + REAL(snicswi(ji))*dh_snowice(ji) + dh_i_bott(ji) & |
---|
| 490 | + zh_i(ji) * REAL(nlayi0) |
---|
| 491 | zm0(ji,1) = REAL(snicswi(ji))*dh_snowice(ji) + REAL(1-snicswi(ji))*zm0(ji,1) |
---|
[2715] | 492 | END DO |
---|
[825] | 493 | |
---|
| 494 | !----------------------------- |
---|
| 495 | ! Thickness of old ice layers |
---|
| 496 | !----------------------------- |
---|
| 497 | DO jk = ntop0, maxnbot0 |
---|
[921] | 498 | DO ji = kideb, kiut |
---|
| 499 | zthick0(ji,jk) = zm0(ji,jk) - zm0(ji,jk-1) |
---|
| 500 | END DO |
---|
[2715] | 501 | END DO |
---|
[825] | 502 | |
---|
| 503 | !--------------------------- |
---|
| 504 | ! Inner layers heat content |
---|
| 505 | !--------------------------- |
---|
| 506 | qm0(:,:) = 0.0 |
---|
| 507 | zqti_in(:) = 0.0 |
---|
| 508 | |
---|
| 509 | DO jk = ntop0, maxnbot0 |
---|
| 510 | DO ji = kideb, kiut |
---|
| 511 | limsum = MAX(1,MIN(snicswi(ji)*(jk-1) + icsuswi(ji)*(jk-1+icsuind(ji)) + & |
---|
[921] | 512 | (1-icsuswi(ji))*(1-snicswi(ji))*jk,nlay_i)) |
---|
[825] | 513 | ztmelts = -tmut * s_i_b(ji,limsum) + rtt |
---|
| 514 | qm0(ji,jk) = rhoic * ( cpic * (ztmelts-t_i_b(ji,limsum)) + lfus * ( 1.0-(ztmelts-rtt)/ & |
---|
[2715] | 515 | MIN((t_i_b(ji,limsum)-rtt),-epsi20) ) - rcp*(ztmelts-rtt) ) & |
---|
[921] | 516 | * zthick0(ji,jk) |
---|
[825] | 517 | END DO |
---|
[2715] | 518 | END DO |
---|
[825] | 519 | |
---|
| 520 | !---------------------------- |
---|
| 521 | ! Bottom layers heat content |
---|
| 522 | !---------------------------- |
---|
| 523 | DO ji = kideb, kiut |
---|
[4161] | 524 | ztmelts = REAL( 1 - icboswi(ji) ) * (-tmut * s_i_b (ji,nlayi0) ) & ! case of melting ice |
---|
| 525 | & + REAL( icboswi(ji) ) * (-tmut * s_i_new(ji) ) & ! case of forming ice |
---|
[2715] | 526 | & + rtt ! in Kelvin |
---|
[825] | 527 | |
---|
[921] | 528 | ! bottom formation temperature |
---|
| 529 | ztform = t_i_b(ji,nlay_i) |
---|
[3625] | 530 | IF( num_sal == 2 ) ztform = t_bo_b(ji) |
---|
[4161] | 531 | qm0(ji,nbot0(ji)) = REAL( 1 - icboswi(ji) )*qm0(ji,nbot0(ji)) & ! case of melting ice |
---|
| 532 | & + REAL( icboswi(ji) ) * rhoic * ( cpic*(ztmelts-ztform) & ! case of forming ice |
---|
[2715] | 533 | + lfus *( 1.0-(ztmelts-rtt) / MIN ( (ztform-rtt) , - epsi10 ) ) & |
---|
| 534 | - rcp*(ztmelts-rtt) ) * zthick0(ji,nbot0(ji) ) |
---|
| 535 | END DO |
---|
[825] | 536 | |
---|
| 537 | !----------------------------- |
---|
| 538 | ! Snow ice layer heat content |
---|
| 539 | !----------------------------- |
---|
| 540 | DO ji = kideb, kiut |
---|
| 541 | ! energy of the flooding seawater |
---|
| 542 | zqsnic = rau0 * rcp * ( rtt - t_bo_b(ji) ) * dh_snowice(ji) * & |
---|
[4161] | 543 | (rhoic - rhosn) / rhoic * REAL(snicswi(ji)) ! generally positive |
---|
[825] | 544 | ! Heat conservation diagnostic |
---|
| 545 | qt_i_in(ji,jl) = qt_i_in(ji,jl) + zqsnic |
---|
| 546 | |
---|
| 547 | qldif_1d(ji) = qldif_1d(ji) + zqsnic * a_i_b(ji) |
---|
| 548 | |
---|
| 549 | ! enthalpy of the newly formed snow-ice layer |
---|
| 550 | ! = enthalpy of snow + enthalpy of frozen water |
---|
| 551 | zqsnic = zqsnow(ji) + zqsnic |
---|
[4161] | 552 | qm0(ji,1) = REAL(snicswi(ji)) * zqsnic + REAL( 1 - snicswi(ji) ) * qm0(ji,1) |
---|
[825] | 553 | |
---|
[2715] | 554 | END DO ! ji |
---|
[825] | 555 | |
---|
| 556 | DO jk = ntop0, maxnbot0 |
---|
[921] | 557 | DO ji = kideb, kiut |
---|
| 558 | ! Heat conservation |
---|
[4333] | 559 | zqti_in(ji) = zqti_in(ji) + qm0(ji,jk) * MAX( 0.0 , SIGN(1.0,ht_i_b(ji)-epsi10) ) & |
---|
[4161] | 560 | & * MAX( 0.0 , SIGN( 1. , REAL(nbot0(ji) - jk) ) ) |
---|
[921] | 561 | END DO |
---|
[2715] | 562 | END DO |
---|
[825] | 563 | |
---|
| 564 | !------------- |
---|
| 565 | ! NEW PROFILE |
---|
| 566 | !------------- |
---|
| 567 | |
---|
| 568 | !--------------- |
---|
| 569 | ! Vectors index |
---|
| 570 | !--------------- |
---|
[2715] | 571 | ntop1 = 1 |
---|
| 572 | nbot1 = nlay_i |
---|
[825] | 573 | |
---|
| 574 | !------------------ |
---|
| 575 | ! Layers thickness |
---|
| 576 | !------------------ |
---|
| 577 | DO ji = kideb, kiut |
---|
[4161] | 578 | zh_i(ji) = ht_i_b(ji) / REAL( nlay_i ) |
---|
[825] | 579 | ENDDO |
---|
| 580 | |
---|
| 581 | !------------- |
---|
| 582 | ! Layer cotes |
---|
| 583 | !------------- |
---|
[2715] | 584 | z_i(:,0) = 0._wp |
---|
[825] | 585 | DO jk = 1, nlay_i |
---|
[921] | 586 | DO ji = kideb, kiut |
---|
| 587 | z_i(ji,jk) = zh_i(ji) * jk |
---|
| 588 | END DO |
---|
[2715] | 589 | END DO |
---|
[825] | 590 | |
---|
| 591 | !--thicknesses of the layers |
---|
| 592 | DO layer0 = ntop0, maxnbot0 |
---|
[921] | 593 | DO ji = kideb, kiut |
---|
[2715] | 594 | zhl0(ji,layer0) = zm0(ji,layer0) - zm0(ji,layer0-1) ! thicknesses of the layers |
---|
[921] | 595 | END DO |
---|
[2715] | 596 | END DO |
---|
[825] | 597 | |
---|
| 598 | !------------------------ |
---|
| 599 | ! Weights for relayering |
---|
| 600 | !------------------------ |
---|
[2715] | 601 | q_i_b(:,:) = 0._wp |
---|
[825] | 602 | DO layer0 = ntop0, maxnbot0 |
---|
[921] | 603 | DO layer1 = ntop1, nbot1 |
---|
| 604 | DO ji = kideb, kiut |
---|
[4333] | 605 | zinda = MAX( 0._wp, SIGN( 1._wp , zhl0(ji,layer0) - epsi10 ) ) |
---|
| 606 | zrl01(layer1,layer0) = zinda * MAX(0.0,( MIN(zm0(ji,layer0),z_i(ji,layer1)) & |
---|
[921] | 607 | - MAX(zm0(ji,layer0-1), z_i(ji,layer1-1)))/MAX(zhl0(ji,layer0),epsi10)) |
---|
| 608 | q_i_b(ji,layer1) = q_i_b(ji,layer1) & |
---|
| 609 | + zrl01(layer1,layer0)*qm0(ji,layer0) & |
---|
[4333] | 610 | * MAX(0.0,SIGN(1.0,ht_i_b(ji)-epsi10)) & |
---|
[4161] | 611 | * MAX(0.0,SIGN(1.0,REAL(nbot0(ji)-layer0))) |
---|
[921] | 612 | END DO |
---|
| 613 | END DO |
---|
[2715] | 614 | END DO |
---|
[825] | 615 | |
---|
| 616 | !------------------------- |
---|
| 617 | ! Heat conservation check |
---|
| 618 | !------------------------- |
---|
[2715] | 619 | zqti_fin(:) = 0._wp |
---|
[825] | 620 | DO jk = 1, nlay_i |
---|
| 621 | DO ji = kideb, kiut |
---|
| 622 | zqti_fin(ji) = zqti_fin(ji) + q_i_b(ji,jk) |
---|
| 623 | END DO |
---|
| 624 | END DO |
---|
[921] | 625 | ! |
---|
[4333] | 626 | IF ( con_i .AND. jiindex_1d > 0 ) THEN |
---|
[4161] | 627 | DO ji = kideb, kiut |
---|
| 628 | IF ( ABS ( zqti_in(ji) - zqti_fin(ji) ) * r1_rdtice > 1.0e-6 ) THEN |
---|
| 629 | ii = MOD( npb(ji) - 1, jpi ) + 1 |
---|
| 630 | ij = ( npb(ji) - 1 ) / jpi + 1 |
---|
| 631 | WRITE(numout,*) ' violation of heat conservation : ', ABS ( zqti_in(ji) - zqti_fin(ji) ) * r1_rdtice |
---|
| 632 | WRITE(numout,*) ' ji, jj : ', ii, ij |
---|
| 633 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
---|
| 634 | WRITE(numout,*) ' zqti_in : ', zqti_in (ji) * r1_rdtice |
---|
| 635 | WRITE(numout,*) ' zqti_fin : ', zqti_fin(ji) * r1_rdtice |
---|
| 636 | WRITE(numout,*) ' dh_i_bott: ', dh_i_bott(ji) |
---|
| 637 | WRITE(numout,*) ' dh_i_surf: ', dh_i_surf(ji) |
---|
| 638 | WRITE(numout,*) ' dh_snowice:', dh_snowice(ji) |
---|
| 639 | WRITE(numout,*) ' icsuswi : ', icsuswi(ji) |
---|
| 640 | WRITE(numout,*) ' icboswi : ', icboswi(ji) |
---|
| 641 | WRITE(numout,*) ' snicswi : ', snicswi(ji) |
---|
| 642 | ENDIF |
---|
| 643 | END DO |
---|
| 644 | ENDIF |
---|
[825] | 645 | |
---|
| 646 | !---------------------- |
---|
| 647 | ! Recover heat content |
---|
| 648 | !---------------------- |
---|
| 649 | DO jk = 1, nlay_i |
---|
| 650 | DO ji = kideb, kiut |
---|
[4333] | 651 | zinda = MAX( 0._wp, SIGN( 1._wp , zh_i(ji) - epsi10 ) ) |
---|
| 652 | q_i_b(ji,jk) = zinda * q_i_b(ji,jk) / MAX( zh_i(ji) , epsi10 ) |
---|
[825] | 653 | END DO !ji |
---|
[2715] | 654 | END DO !jk |
---|
[825] | 655 | |
---|
| 656 | ! Heat conservation |
---|
| 657 | zqti_fin(:) = 0.0 |
---|
| 658 | DO jk = 1, nlay_i |
---|
| 659 | DO ji = kideb, kiut |
---|
| 660 | zqti_fin(ji) = zqti_fin(ji) + q_i_b(ji,jk) * zh_i(ji) |
---|
| 661 | END DO |
---|
| 662 | END DO |
---|
[834] | 663 | |
---|
[921] | 664 | ! |
---|
| 665 | !------------------------------------------------------------------------------| |
---|
| 666 | ! 5) Update salinity and recover temperature | |
---|
| 667 | !------------------------------------------------------------------------------| |
---|
| 668 | ! |
---|
[834] | 669 | ! Update salinity (basal entrapment, snow ice formation) |
---|
[825] | 670 | DO ji = kideb, kiut |
---|
[2715] | 671 | sm_i_b(ji) = sm_i_b(ji) + dsm_i_se_1d(ji) + dsm_i_si_1d(ji) |
---|
[825] | 672 | END DO !ji |
---|
| 673 | |
---|
| 674 | ! Recover temperature |
---|
| 675 | DO jk = 1, nlay_i |
---|
| 676 | DO ji = kideb, kiut |
---|
| 677 | ztmelts = -tmut*s_i_b(ji,jk) + rtt |
---|
| 678 | !Conversion q(S,T) -> T (second order equation) |
---|
| 679 | zaaa = cpic |
---|
[2715] | 680 | zbbb = ( rcp - cpic ) * ( ztmelts - rtt ) + q_i_b(ji,jk) / rhoic - lfus |
---|
[825] | 681 | zccc = lfus * ( ztmelts - rtt ) |
---|
| 682 | zdiscrim = SQRT( MAX(zbbb*zbbb - 4.0*zaaa*zccc,0.0) ) |
---|
[2715] | 683 | t_i_b(ji,jk) = rtt - ( zbbb + zdiscrim ) / ( 2.0 *zaaa ) |
---|
[825] | 684 | END DO !ji |
---|
| 685 | |
---|
| 686 | END DO !jk |
---|
[2715] | 687 | ! |
---|
[3294] | 688 | CALL wrk_dealloc( jpij, snswi, nbot0, icsuind, icsuswi, icboind, icboswi, snicind, snicswi, snind ) ! integer |
---|
| 689 | CALL wrk_dealloc( jpij, zh_i, zh_s, zqsnow, zdeltah, zqti_in, zqts_in, zqti_fin, zqts_fin ) ! real |
---|
| 690 | CALL wrk_dealloc( jpij,jkmax+4, zm0, qm0, z_s, z_i, zthick0, zhl0, kjstart = 0 ) |
---|
| 691 | CALL wrk_dealloc( jkmax+4,jkmax+4, zrl01, kistart = 0, kjstart = 0 ) |
---|
[2715] | 692 | ! |
---|
[921] | 693 | END SUBROUTINE lim_thd_ent |
---|
[825] | 694 | |
---|
| 695 | #else |
---|
[2715] | 696 | !!---------------------------------------------------------------------- |
---|
| 697 | !! Default option NO LIM3 sea-ice model |
---|
| 698 | !!---------------------------------------------------------------------- |
---|
[825] | 699 | CONTAINS |
---|
| 700 | SUBROUTINE lim_thd_ent ! Empty routine |
---|
| 701 | END SUBROUTINE lim_thd_ent |
---|
| 702 | #endif |
---|
[2715] | 703 | |
---|
| 704 | !!====================================================================== |
---|
[921] | 705 | END MODULE limthd_ent |
---|