[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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[834] | 18 | !! lim_thd_ent : ice redistribution of enthalpy |
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[2528] | 19 | !!---------------------------------------------------------------------- |
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[825] | 20 | USE par_oce ! ocean parameters |
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[2715] | 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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[3186] | 30 | USE wrk_nemo ! work arrays |
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[825] | 31 | |
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| 32 | IMPLICIT NONE |
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| 33 | PRIVATE |
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| 34 | |
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[3148] | 35 | PUBLIC lim_thd_ent ! called by lim_thd |
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[825] | 36 | |
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[2715] | 37 | REAL(wp) :: epsi20 = 1e-20_wp ! constant values |
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| 38 | REAL(wp) :: epsi13 = 1e-13_wp ! |
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| 39 | REAL(wp) :: epsi10 = 1e-10_wp ! |
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| 40 | REAL(wp) :: epsi06 = 1e-06_wp ! |
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| 41 | REAL(wp) :: zzero = 0._wp ! |
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| 42 | REAL(wp) :: zone = 1._wp ! |
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| 43 | |
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[825] | 44 | !!---------------------------------------------------------------------- |
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[2715] | 45 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
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[1156] | 46 | !! $Id$ |
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[2528] | 47 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[825] | 48 | !!---------------------------------------------------------------------- |
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| 49 | CONTAINS |
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[3148] | 50 | |
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[2715] | 51 | SUBROUTINE lim_thd_ent( kideb, kiut, jl ) |
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[825] | 52 | !!------------------------------------------------------------------- |
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| 53 | !! *** ROUTINE lim_thd_ent *** |
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| 54 | !! |
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| 55 | !! ** Purpose : |
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| 56 | !! This routine computes new vertical grids |
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| 57 | !! in the ice and in the snow, and consistently redistributes |
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| 58 | !! temperatures in the snow / ice. |
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| 59 | !! Redistribution is made so as to ensure to energy conservation |
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| 60 | !! |
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| 61 | !! |
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| 62 | !! ** Method : linear conservative remapping |
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| 63 | !! |
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[834] | 64 | !! ** Steps : 1) Grid |
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| 65 | !! 2) Switches |
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| 66 | !! 3) Snow redistribution |
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| 67 | !! 4) Ice enthalpy redistribution |
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| 68 | !! 5) Ice salinity, recover temperature |
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[825] | 69 | !! |
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[2715] | 70 | !! References : Bitz & Lipscomb, JGR 99; Vancoppenolle et al., GRL, 2005 |
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| 71 | !!------------------------------------------------------------------- |
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| 72 | INTEGER , INTENT(in) :: kideb, kiut ! Start/End point on which the the computation is applied |
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| 73 | INTEGER , INTENT(in) :: jl ! Thickness cateogry number |
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[825] | 74 | |
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[2715] | 75 | INTEGER :: ji,jk ! dummy loop indices |
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| 76 | INTEGER :: zji, zjj , & ! dummy indices |
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[825] | 77 | ntop0 , & ! old layer top index |
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| 78 | nbot1 , & ! new layer bottom index |
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| 79 | ntop1 , & ! new layer top index |
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| 80 | limsum , & ! temporary loop index |
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| 81 | nlayi0,nlays0 , & ! old number of layers |
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| 82 | maxnbot0 , & ! old layer bottom index |
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| 83 | layer0, layer1 ! old/new layer indexes |
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| 84 | |
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| 85 | |
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| 86 | REAL(wp) :: & |
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| 87 | ztmelts , & ! ice melting point |
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| 88 | zqsnic , & ! enthalpy of snow ice layer |
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| 89 | zhsnow , & ! temporary snow thickness variable |
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| 90 | zswitch , & ! dummy switch argument |
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| 91 | zfac1 , & ! dummy factor |
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| 92 | zfac2 , & ! dummy factor |
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| 93 | ztform , & !: bottom formation temperature |
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| 94 | zaaa , & !: dummy factor |
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| 95 | zbbb , & !: dummy factor |
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| 96 | zccc , & !: dummy factor |
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| 97 | zdiscrim !: dummy factor |
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| 98 | |
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[3148] | 99 | INTEGER, POINTER, DIMENSION(:) :: snswi ! snow switch |
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| 100 | INTEGER, POINTER, DIMENSION(:) :: nbot0 ! old layer bottom index |
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| 101 | INTEGER, POINTER, DIMENSION(:) :: icsuind ! ice surface index |
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| 102 | INTEGER, POINTER, DIMENSION(:) :: icsuswi ! ice surface switch |
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| 103 | INTEGER, POINTER, DIMENSION(:) :: icboind ! ice bottom index |
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| 104 | INTEGER, POINTER, DIMENSION(:) :: icboswi ! ice bottom switch |
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| 105 | INTEGER, POINTER, DIMENSION(:) :: snicind ! snow ice index |
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| 106 | INTEGER, POINTER, DIMENSION(:) :: snicswi ! snow ice switch |
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| 107 | INTEGER, POINTER, DIMENSION(:) :: snind ! snow index |
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[2715] | 108 | ! |
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[3148] | 109 | REAL(wp), POINTER, DIMENSION(:) :: zh_i ! thickness of an ice layer |
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| 110 | REAL(wp), POINTER, DIMENSION(:) :: zh_s ! thickness of a snow layer |
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| 111 | REAL(wp), POINTER, DIMENSION(:) :: zqsnow ! enthalpy of the snow put in snow ice |
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| 112 | REAL(wp), POINTER, DIMENSION(:) :: zdeltah ! temporary variable |
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| 113 | REAL(wp), POINTER, DIMENSION(:) :: zqti_in, zqts_in |
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| 114 | REAL(wp), POINTER, DIMENSION(:) :: zqti_fin, zqts_fin |
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| 115 | |
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| 116 | REAL(wp), POINTER, DIMENSION(:,:) :: zm0 ! old layer-system vertical cotes |
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| 117 | REAL(wp), POINTER, DIMENSION(:,:) :: qm0 ! old layer-system heat content |
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| 118 | REAL(wp), POINTER, DIMENSION(:,:) :: z_s ! new snow system vertical cotes |
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| 119 | REAL(wp), POINTER, DIMENSION(:,:) :: z_i ! new ice system vertical cotes |
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| 120 | REAL(wp), POINTER, DIMENSION(:,:) :: zthick0 ! old ice thickness |
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| 121 | REAL(wp), POINTER, DIMENSION(:,:) :: zhl0 ! old and new layer thicknesses |
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| 122 | REAL(wp), POINTER, DIMENSION(:,:) :: zrl01 |
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[2715] | 123 | !!------------------------------------------------------------------- |
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[825] | 124 | |
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[3148] | 125 | CALL wrk_alloc( jpij, snswi, nbot0, icsuind, icsuswi, icboind, icboswi, snicind, snicswi, snind ) ! integer |
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| 126 | CALL wrk_alloc( jpij, zh_i, zh_s, zqsnow, zdeltah, zqti_in, zqts_in, zqti_fin, zqts_fin ) ! real |
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| 127 | CALL wrk_alloc( jpij,jkmax+4, zm0, qm0, z_s, z_i, zthick0, zhl0, kjstart = 0 ) |
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| 128 | CALL wrk_alloc( jkmax+4,jkmax+4, zrl01, kistart = 0, kjstart = 0 ) |
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[825] | 129 | |
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[2715] | 130 | zthick0(:,:) = 0._wp |
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| 131 | zm0 (:,:) = 0._wp |
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| 132 | qm0 (:,:) = 0._wp |
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| 133 | zrl01 (:,:) = 0._wp |
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| 134 | zhl0 (:,:) = 0._wp |
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| 135 | z_i (:,:) = 0._wp |
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| 136 | z_s (:,:) = 0._wp |
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[825] | 137 | |
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[921] | 138 | ! |
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| 139 | !------------------------------------------------------------------------------| |
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| 140 | ! 1) Grid | |
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| 141 | !------------------------------------------------------------------------------| |
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[2715] | 142 | nlays0 = nlay_s |
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| 143 | nlayi0 = nlay_i |
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[825] | 144 | |
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| 145 | DO ji = kideb, kiut |
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[2715] | 146 | zh_i(ji) = old_ht_i_b(ji) / nlay_i |
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| 147 | zh_s(ji) = old_ht_s_b(ji) / nlay_s |
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| 148 | END DO |
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[825] | 149 | |
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[921] | 150 | ! |
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| 151 | !------------------------------------------------------------------------------| |
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| 152 | ! 2) Switches | |
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| 153 | !------------------------------------------------------------------------------| |
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[825] | 154 | ! 2.1 snind(ji), snswi(ji) |
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| 155 | ! snow surface behaviour : computation of snind(ji)-snswi(ji) |
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| 156 | ! snind(ji) : index which equals |
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| 157 | ! 0 if snow is accumulating |
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| 158 | ! 1 if 1st layer is melting |
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| 159 | ! 2 if 2nd layer is melting ... |
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| 160 | DO ji = kideb, kiut |
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[2715] | 161 | snind (ji) = 0 |
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| 162 | zdeltah(ji) = 0._wp |
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[825] | 163 | ENDDO !ji |
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| 164 | |
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| 165 | DO jk = 1, nlays0 |
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[921] | 166 | DO ji = kideb, kiut |
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[2715] | 167 | snind(ji) = jk * INT(MAX(0.0,SIGN(1.0,-dh_s_tot(ji)-zdeltah(ji)-epsi20))) & |
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| 168 | + snind(ji) * (1 - INT(MAX(0.0,SIGN(1.0,-dh_s_tot(ji)-zdeltah(ji)-epsi20)))) |
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[921] | 169 | zdeltah(ji)= zdeltah(ji) + zh_s(ji) |
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| 170 | END DO ! ji |
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[2715] | 171 | END DO ! jk |
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[825] | 172 | |
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| 173 | ! snswi(ji) : switch which value equals 1 if snow melts |
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| 174 | ! 0 if not |
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| 175 | DO ji = kideb, kiut |
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[2715] | 176 | snswi(ji) = MAX(0,INT(-dh_s_tot(ji)/MAX(epsi20,ABS(dh_s_tot(ji))))) |
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| 177 | END DO ! ji |
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[921] | 178 | |
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[825] | 179 | ! 2.2 icsuind(ji), icsuswi(ji) |
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| 180 | ! ice surface behaviour : computation of icsuind(ji)-icsuswi(ji) |
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| 181 | ! icsuind(ji) : index which equals |
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| 182 | ! 0 if nothing happens at the surface |
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| 183 | ! 1 if first layer is melting |
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| 184 | ! 2 if 2nd layer is reached by melt ... |
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| 185 | DO ji = kideb, kiut |
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[2715] | 186 | icsuind(ji) = 0 |
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| 187 | zdeltah(ji) = 0._wp |
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| 188 | END DO !ji |
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[825] | 189 | DO jk = 1, nlayi0 |
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[921] | 190 | DO ji = kideb, kiut |
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[2715] | 191 | icsuind(ji) = jk * INT(MAX(0.0,SIGN(1.0,-dh_i_surf(ji)-zdeltah(ji)-epsi20))) & |
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| 192 | + icsuind(ji) * (1 - INT(MAX(0.0,SIGN(1.0,-dh_i_surf(ji)-zdeltah(ji)-epsi20)))) |
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[921] | 193 | zdeltah(ji) = zdeltah(ji) + zh_i(ji) |
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| 194 | END DO ! ji |
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[825] | 195 | ENDDO !jk |
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| 196 | |
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| 197 | ! icsuswi(ji) : switch which equals |
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| 198 | ! 1 if ice melts at the surface |
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| 199 | ! 0 if not |
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| 200 | DO ji = kideb, kiut |
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[2715] | 201 | icsuswi(ji) = MAX(0,INT(-dh_i_surf(ji)/MAX(epsi20 , ABS(dh_i_surf(ji)) ) ) ) |
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[825] | 202 | ENDDO |
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| 203 | |
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| 204 | ! 2.3 icboind(ji), icboswi(ji) |
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| 205 | ! ice bottom behaviour : computation of icboind(ji)-icboswi(ji) |
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| 206 | ! icboind(ji) : index which equals |
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| 207 | ! 0 if accretion is on the way |
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| 208 | ! 1 if last layer has started to melt |
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| 209 | ! 2 if penultiem layer is melting ... and so on |
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| 210 | ! N+1 if all layers melt and that snow transforms into ice |
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| 211 | DO ji = kideb, kiut |
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[2715] | 212 | icboind(ji) = 0 |
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| 213 | zdeltah(ji) = 0._wp |
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| 214 | END DO |
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[825] | 215 | DO jk = nlayi0, 1, -1 |
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[921] | 216 | DO ji = kideb, kiut |
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[2715] | 217 | icboind(ji) = (nlayi0+1-jk) * INT(MAX(0.0,SIGN(1.0,-dh_i_bott(ji)-zdeltah(ji)-epsi20))) & |
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| 218 | & + icboind(ji) * (1 - INT(MAX(0.0,SIGN(1.0,-dh_i_bott(ji)-zdeltah(ji)-epsi20)))) |
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[921] | 219 | zdeltah(ji) = zdeltah(ji) + zh_i(ji) |
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| 220 | END DO |
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[2715] | 221 | END DO |
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[825] | 222 | |
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| 223 | DO ji = kideb, kiut |
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| 224 | ! case of total ablation with remaining snow |
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[2715] | 225 | IF ( ( ht_i_b(ji) .GT. epsi20 ) .AND. & |
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| 226 | ( ht_i_b(ji) - dh_snowice(ji) .LT. epsi20 ) ) icboind(ji) = nlay_i + 1 |
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[825] | 227 | END DO |
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| 228 | |
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| 229 | ! icboswi(ji) : switch which equals |
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| 230 | ! 1 if ice accretion is on the way |
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| 231 | ! 0 if ablation is on the way |
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| 232 | DO ji = kideb, kiut |
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[2715] | 233 | icboswi(ji) = MAX(0,INT(dh_i_bott(ji) / MAX(epsi20,ABS(dh_i_bott(ji))))) |
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| 234 | END DO |
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[825] | 235 | |
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| 236 | ! 2.4 snicind(ji), snicswi(ji) |
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| 237 | ! snow ice formation : calcul de snicind(ji)-snicswi(ji) |
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| 238 | ! snicind(ji) : index which equals |
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| 239 | ! 0 if no snow-ice forms |
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| 240 | ! 1 if last layer of snow has started to melt |
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| 241 | ! 2 if penultiem layer ... |
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| 242 | DO ji = kideb, kiut |
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[2715] | 243 | snicind(ji) = 0 |
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| 244 | zdeltah(ji) = 0._wp |
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| 245 | END DO |
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[825] | 246 | DO jk = nlays0, 1, -1 |
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[921] | 247 | DO ji = kideb, kiut |
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| 248 | snicind(ji) = (nlays0+1-jk) & |
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[2715] | 249 | * INT(MAX(0.0,SIGN(1.0,dh_snowice(ji)-zdeltah(ji)-epsi20))) + snicind(ji) & |
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| 250 | * (1 - INT(MAX(0.0,SIGN(1.0,dh_snowice(ji)-zdeltah(ji)-epsi20)))) |
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[921] | 251 | zdeltah(ji) = zdeltah(ji) + zh_s(ji) |
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| 252 | END DO |
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[2715] | 253 | END DO |
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[825] | 254 | |
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| 255 | ! snicswi(ji) : switch which equals |
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| 256 | ! 1 if snow-ice forms |
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| 257 | ! 0 if not |
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| 258 | DO ji = kideb, kiut |
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[2715] | 259 | snicswi(ji) = MAX(0,INT(dh_snowice(ji)/MAX(epsi20,ABS(dh_snowice(ji))))) |
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[825] | 260 | ENDDO |
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| 261 | |
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[921] | 262 | ! |
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| 263 | !------------------------------------------------------------------------------| |
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| 264 | ! 3) Snow redistribution | |
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| 265 | !------------------------------------------------------------------------------| |
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| 266 | ! |
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[825] | 267 | !------------- |
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| 268 | ! Old profile |
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| 269 | !------------- |
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| 270 | |
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| 271 | ! by 'old', it is meant that layers coming from accretion are included, |
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| 272 | ! and that interfacial layers which were partly melted are reduced |
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| 273 | |
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| 274 | ! indexes of the vectors |
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| 275 | !------------------------ |
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[2715] | 276 | ntop0 = 1 |
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| 277 | maxnbot0 = 0 |
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[825] | 278 | |
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| 279 | DO ji = kideb, kiut |
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[2715] | 280 | nbot0(ji) = nlays0 + 1 - snind(ji) + ( 1. - snicind(ji) ) * snicswi(ji) |
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[921] | 281 | ! cotes of the top of the layers |
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[2715] | 282 | zm0(ji,0) = 0._wp |
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| 283 | maxnbot0 = MAX ( maxnbot0 , nbot0(ji) ) |
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| 284 | END DO |
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| 285 | IF( lk_mpp ) CALL mpp_max( maxnbot0, kcom=ncomm_ice ) |
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[825] | 286 | |
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| 287 | DO jk = 1, maxnbot0 |
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[921] | 288 | DO ji = kideb, kiut |
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| 289 | !change |
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[2715] | 290 | limsum = ( 1 - snswi(ji) ) * ( jk - 1 ) + snswi(ji) * ( jk + snind(ji) - 1 ) |
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| 291 | limsum = MIN( limsum , nlay_s ) |
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| 292 | zm0(ji,jk) = dh_s_tot(ji) + zh_s(ji) * limsum |
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[921] | 293 | END DO |
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[2715] | 294 | END DO |
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[825] | 295 | |
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| 296 | DO ji = kideb, kiut |
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[2715] | 297 | zm0(ji,nbot0(ji)) = dh_s_tot(ji) - snicswi(ji) * dh_snowice(ji) + zh_s(ji) * nlays0 |
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| 298 | zm0(ji,1) = dh_s_tot(ji) * (1 -snswi(ji) ) + snswi(ji) * zm0(ji,1) |
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| 299 | END DO |
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[825] | 300 | |
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| 301 | DO jk = ntop0, maxnbot0 |
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[921] | 302 | DO ji = kideb, kiut |
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[2715] | 303 | zthick0(ji,jk) = zm0(ji,jk) - zm0(ji,jk-1) ! layer thickness |
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[921] | 304 | END DO |
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[2715] | 305 | END DO |
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[825] | 306 | |
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[2715] | 307 | zqts_in(:) = 0._wp |
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[921] | 308 | |
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[2715] | 309 | DO ji = kideb, kiut ! layer heat content |
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| 310 | qm0 (ji,1) = rhosn * ( cpic * ( rtt - ( 1. - snswi(ji) ) * tatm_ice_1d(ji) & |
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| 311 | & - snswi(ji) * t_s_b (ji,1) ) & |
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| 312 | & + lfus ) * zthick0(ji,1) |
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| 313 | zqts_in(ji) = zqts_in(ji) + qm0(ji,1) |
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| 314 | END DO |
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[825] | 315 | |
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| 316 | DO jk = 2, maxnbot0 |
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[921] | 317 | DO ji = kideb, kiut |
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[2715] | 318 | limsum = ( 1 - snswi(ji) ) * ( jk - 1 ) + snswi(ji) * ( jk + snind(ji) - 1 ) |
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[921] | 319 | limsum = MIN( limsum , nlay_s ) |
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[2715] | 320 | qm0(ji,jk) = rhosn * ( cpic * ( rtt - t_s_b(ji,limsum) ) + lfus ) * zthick0(ji,jk) |
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| 321 | zswitch = 1.0 - MAX (0.0, SIGN ( 1.0, epsi20 - ht_s_b(ji) ) ) |
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[921] | 322 | zqts_in(ji) = zqts_in(ji) + ( 1. - snswi(ji) ) * qm0(ji,jk) * zswitch |
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| 323 | END DO ! jk |
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[2715] | 324 | END DO ! ji |
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[825] | 325 | |
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| 326 | !------------------------------------------------ |
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| 327 | ! Energy given by the snow in snow-ice formation |
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| 328 | !------------------------------------------------ |
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| 329 | ! zqsnow, enthalpy of the flooded snow |
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| 330 | DO ji = kideb, kiut |
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[2715] | 331 | zqsnow (ji) = rhosn * lfus |
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| 332 | zdeltah(ji) = 0._wp |
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| 333 | END DO |
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[825] | 334 | |
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| 335 | DO jk = nlays0, 1, -1 |
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[921] | 336 | DO ji = kideb, kiut |
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[2715] | 337 | zhsnow = MAX( 0._wp , dh_snowice(ji)-zdeltah(ji) ) |
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| 338 | zqsnow (ji) = zqsnow (ji) + rhosn*cpic*(rtt-t_s_b(ji,jk)) |
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[921] | 339 | zdeltah(ji) = zdeltah(ji) + zh_s(ji) |
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| 340 | END DO |
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[2715] | 341 | END DO |
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[825] | 342 | |
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| 343 | DO ji = kideb, kiut |
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| 344 | zqsnow(ji) = zqsnow(ji) * dh_snowice(ji) |
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| 345 | END DO |
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| 346 | |
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| 347 | !------------------ |
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[834] | 348 | ! new snow profile |
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[825] | 349 | !------------------ |
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| 350 | |
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| 351 | !-------------- |
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| 352 | ! Vector index |
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| 353 | !-------------- |
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[2715] | 354 | ntop1 = 1 |
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| 355 | nbot1 = nlay_s |
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[825] | 356 | |
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| 357 | !------------------- |
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| 358 | ! Layer coordinates |
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| 359 | !------------------- |
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| 360 | DO ji = kideb, kiut |
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| 361 | zh_s(ji) = ht_s_b(ji) / nlay_s |
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[2715] | 362 | z_s(ji,0) = 0._wp |
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[825] | 363 | ENDDO |
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| 364 | |
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| 365 | DO jk = 1, nlay_s |
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[921] | 366 | DO ji = kideb, kiut |
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| 367 | z_s(ji,jk) = zh_s(ji) * jk |
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| 368 | END DO |
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[2715] | 369 | END DO |
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[825] | 370 | |
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| 371 | !----------------- |
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| 372 | ! Layer thickness |
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| 373 | !----------------- |
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| 374 | DO layer0 = ntop0, maxnbot0 |
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[921] | 375 | DO ji = kideb, kiut |
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| 376 | zhl0(ji,layer0) = zm0(ji,layer0) - zm0(ji,layer0-1) |
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| 377 | END DO |
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[2715] | 378 | END DO |
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[825] | 379 | |
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| 380 | DO layer1 = ntop1, nbot1 |
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[921] | 381 | DO ji = kideb, kiut |
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[2715] | 382 | q_s_b(ji,layer1) = 0._wp |
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[921] | 383 | END DO |
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[2715] | 384 | END DO |
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[825] | 385 | |
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| 386 | !---------------- |
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| 387 | ! Weight factors |
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| 388 | !---------------- |
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| 389 | DO layer0 = ntop0, maxnbot0 |
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[921] | 390 | DO layer1 = ntop1, nbot1 |
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| 391 | DO ji = kideb, kiut |
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[2715] | 392 | zrl01(layer1,layer0) = MAX(0.0,( MIN(zm0(ji,layer0),z_s(ji,layer1)) & |
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| 393 | & - MAX(zm0(ji,layer0-1), z_s(ji,layer1-1))) / MAX(zhl0(ji,layer0),epsi10)) |
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| 394 | q_s_b(ji,layer1) = q_s_b(ji,layer1) + zrl01(layer1,layer0)*qm0(ji,layer0) & |
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| 395 | & * MAX(0.0,SIGN(1.0,nbot0(ji)-layer0+epsi20)) |
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[921] | 396 | END DO |
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| 397 | END DO |
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[2715] | 398 | END DO |
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[825] | 399 | |
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| 400 | ! Heat conservation |
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[2715] | 401 | zqts_fin(:) = 0._wp |
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[825] | 402 | DO jk = 1, nlay_s |
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| 403 | DO ji = kideb, kiut |
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| 404 | zqts_fin(ji) = zqts_fin(ji) + q_s_b(ji,jk) |
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| 405 | END DO |
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| 406 | END DO |
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| 407 | |
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| 408 | IF ( con_i ) THEN |
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[921] | 409 | DO ji = kideb, kiut |
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| 410 | IF ( ABS ( zqts_in(ji) - zqts_fin(ji) ) / rdt_ice .GT. 1.0e-6 ) THEN |
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| 411 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
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| 412 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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| 413 | WRITE(numout,*) ' violation of heat conservation : ', & |
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| 414 | ABS ( zqts_in(ji) - zqts_fin(ji) ) / rdt_ice |
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| 415 | WRITE(numout,*) ' ji, jj : ', zji, zjj |
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| 416 | WRITE(numout,*) ' ht_s_b : ', ht_s_b(ji) |
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| 417 | WRITE(numout,*) ' zqts_in : ', zqts_in(ji) / rdt_ice |
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| 418 | WRITE(numout,*) ' zqts_fin : ', zqts_fin(ji) / rdt_ice |
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| 419 | WRITE(numout,*) ' dh_snowice : ', dh_snowice(ji) |
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| 420 | WRITE(numout,*) ' dh_s_tot : ', dh_s_tot(ji) |
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| 421 | WRITE(numout,*) ' snswi : ', snswi(ji) |
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| 422 | ENDIF |
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| 423 | END DO |
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[825] | 424 | ENDIF |
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| 425 | |
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| 426 | !--------------------- |
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| 427 | ! Recover heat content |
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| 428 | !--------------------- |
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[1724] | 429 | DO jk = 1, nlay_s |
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[825] | 430 | DO ji = kideb, kiut |
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[2715] | 431 | q_s_b(ji,jk) = q_s_b(ji,jk) / MAX( zh_s(ji) , epsi20 ) |
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[825] | 432 | END DO !ji |
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[2715] | 433 | END DO !jk |
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[825] | 434 | |
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| 435 | !--------------------- |
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| 436 | ! Recover temperature |
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| 437 | !--------------------- |
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| 438 | zfac1 = 1. / ( rhosn * cpic ) |
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| 439 | zfac2 = lfus / cpic |
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| 440 | DO jk = 1, nlay_s |
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[921] | 441 | DO ji = kideb, kiut |
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[2715] | 442 | zswitch = MAX ( 0.0 , SIGN ( 1.0, epsi20 - ht_s_b(ji) ) ) |
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| 443 | t_s_b(ji,jk) = rtt + ( 1.0 - zswitch ) * ( - zfac1 * q_s_b(ji,jk) + zfac2 ) |
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[921] | 444 | END DO |
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[2715] | 445 | END DO |
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[921] | 446 | ! |
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| 447 | !------------------------------------------------------------------------------| |
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| 448 | ! 4) Ice redistribution | |
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| 449 | !------------------------------------------------------------------------------| |
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| 450 | ! |
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[825] | 451 | !------------- |
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| 452 | ! OLD PROFILE |
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| 453 | !------------- |
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| 454 | |
---|
| 455 | !---------------- |
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| 456 | ! Vector indexes |
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| 457 | !---------------- |
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[2715] | 458 | ntop0 = 1 |
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| 459 | maxnbot0 = 0 |
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[825] | 460 | |
---|
| 461 | DO ji = kideb, kiut |
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[921] | 462 | ! reference number of the bottommost layer |
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[2715] | 463 | nbot0(ji) = MAX( 1 , MIN( nlayi0 + ( 1 - icboind(ji) ) + & |
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| 464 | & ( 1 - icsuind(ji) ) * icsuswi(ji) + snicswi(ji) , nlay_i + 2 ) ) |
---|
[825] | 465 | ! maximum reference number of the bottommost layer over all domain |
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[2715] | 466 | maxnbot0 = MAX( maxnbot0 , nbot0(ji) ) |
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| 467 | END DO |
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[825] | 468 | |
---|
| 469 | !------------------------- |
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| 470 | ! Cotes of old ice layers |
---|
| 471 | !------------------------- |
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[2777] | 472 | zm0(:,0) = 0._wp |
---|
[921] | 473 | |
---|
[825] | 474 | DO jk = 1, maxnbot0 |
---|
| 475 | DO ji = kideb, kiut |
---|
| 476 | ! jk goes from 1 to nbot0 |
---|
| 477 | ! the ice layer number goes from 1 to nlay_i |
---|
| 478 | ! limsum is the real ice layer number corresponding to present jk |
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[834] | 479 | limsum = ( (icsuswi(ji)*(icsuind(ji)+jk-1) + & |
---|
[921] | 480 | (1-icsuswi(ji))*jk))*(1-snicswi(ji)) + (jk-1)*snicswi(ji) |
---|
[825] | 481 | zm0(ji,jk)= icsuswi(ji)*dh_i_surf(ji) + snicswi(ji)*dh_snowice(ji) & |
---|
[921] | 482 | + limsum * zh_i(ji) |
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[825] | 483 | END DO |
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[2715] | 484 | END DO |
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[825] | 485 | |
---|
| 486 | DO ji = kideb, kiut |
---|
| 487 | zm0(ji,nbot0(ji)) = icsuswi(ji)*dh_i_surf(ji) + snicswi(ji)*dh_snowice(ji) + dh_i_bott(ji) & |
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[921] | 488 | + zh_i(ji) * nlayi0 |
---|
[825] | 489 | zm0(ji,1) = snicswi(ji)*dh_snowice(ji) + (1-snicswi(ji))*zm0(ji,1) |
---|
[2715] | 490 | END DO |
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[825] | 491 | |
---|
| 492 | !----------------------------- |
---|
| 493 | ! Thickness of old ice layers |
---|
| 494 | !----------------------------- |
---|
| 495 | DO jk = ntop0, maxnbot0 |
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[921] | 496 | DO ji = kideb, kiut |
---|
| 497 | zthick0(ji,jk) = zm0(ji,jk) - zm0(ji,jk-1) |
---|
| 498 | END DO |
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[2715] | 499 | END DO |
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[825] | 500 | |
---|
| 501 | !--------------------------- |
---|
| 502 | ! Inner layers heat content |
---|
| 503 | !--------------------------- |
---|
| 504 | qm0(:,:) = 0.0 |
---|
| 505 | zqti_in(:) = 0.0 |
---|
| 506 | |
---|
| 507 | DO jk = ntop0, maxnbot0 |
---|
| 508 | DO ji = kideb, kiut |
---|
| 509 | limsum = MAX(1,MIN(snicswi(ji)*(jk-1) + icsuswi(ji)*(jk-1+icsuind(ji)) + & |
---|
[921] | 510 | (1-icsuswi(ji))*(1-snicswi(ji))*jk,nlay_i)) |
---|
[825] | 511 | ztmelts = -tmut * s_i_b(ji,limsum) + rtt |
---|
| 512 | qm0(ji,jk) = rhoic * ( cpic * (ztmelts-t_i_b(ji,limsum)) + lfus * ( 1.0-(ztmelts-rtt)/ & |
---|
[2715] | 513 | MIN((t_i_b(ji,limsum)-rtt),-epsi20) ) - rcp*(ztmelts-rtt) ) & |
---|
[921] | 514 | * zthick0(ji,jk) |
---|
[825] | 515 | END DO |
---|
[2715] | 516 | END DO |
---|
[825] | 517 | |
---|
| 518 | !---------------------------- |
---|
| 519 | ! Bottom layers heat content |
---|
| 520 | !---------------------------- |
---|
| 521 | DO ji = kideb, kiut |
---|
[2715] | 522 | ztmelts = ( 1.0 - icboswi(ji) ) * (-tmut * s_i_b (ji,nlayi0) ) & ! case of melting ice |
---|
| 523 | & + icboswi(ji) * (-tmut * s_i_new(ji) ) & ! case of forming ice |
---|
| 524 | & + rtt ! in Kelvin |
---|
[825] | 525 | |
---|
[921] | 526 | ! bottom formation temperature |
---|
| 527 | ztform = t_i_b(ji,nlay_i) |
---|
| 528 | IF ( ( num_sal .EQ. 2 ) .OR. ( num_sal .EQ. 4 ) ) ztform = t_bo_b(ji) |
---|
[2715] | 529 | qm0(ji,nbot0(ji)) = ( 1.0 - icboswi(ji) )*qm0(ji,nbot0(ji)) & ! case of melting ice |
---|
| 530 | & + icboswi(ji) * rhoic * ( cpic*(ztmelts-ztform) & ! case of forming ice |
---|
| 531 | + lfus *( 1.0-(ztmelts-rtt) / MIN ( (ztform-rtt) , - epsi10 ) ) & |
---|
| 532 | - rcp*(ztmelts-rtt) ) * zthick0(ji,nbot0(ji) ) |
---|
| 533 | END DO |
---|
[825] | 534 | |
---|
| 535 | !----------------------------- |
---|
| 536 | ! Snow ice layer heat content |
---|
| 537 | !----------------------------- |
---|
| 538 | DO ji = kideb, kiut |
---|
| 539 | ! energy of the flooding seawater |
---|
| 540 | zqsnic = rau0 * rcp * ( rtt - t_bo_b(ji) ) * dh_snowice(ji) * & |
---|
[921] | 541 | (rhoic - rhosn) / rhoic * snicswi(ji) ! generally positive |
---|
[825] | 542 | ! Heat conservation diagnostic |
---|
| 543 | qt_i_in(ji,jl) = qt_i_in(ji,jl) + zqsnic |
---|
| 544 | |
---|
| 545 | qldif_1d(ji) = qldif_1d(ji) + zqsnic * a_i_b(ji) |
---|
| 546 | |
---|
| 547 | ! enthalpy of the newly formed snow-ice layer |
---|
| 548 | ! = enthalpy of snow + enthalpy of frozen water |
---|
| 549 | zqsnic = zqsnow(ji) + zqsnic |
---|
| 550 | qm0(ji,1) = snicswi(ji) * zqsnic + ( 1 - snicswi(ji) ) * qm0(ji,1) |
---|
| 551 | |
---|
[2715] | 552 | END DO ! ji |
---|
[825] | 553 | |
---|
| 554 | DO jk = ntop0, maxnbot0 |
---|
[921] | 555 | DO ji = kideb, kiut |
---|
| 556 | ! Heat conservation |
---|
[2715] | 557 | zqti_in(ji) = zqti_in(ji) + qm0(ji,jk) * MAX( 0.0 , SIGN(1.0,ht_i_b(ji)-epsi06+epsi20) ) & |
---|
| 558 | & * MAX( 0.0 , SIGN( 1. , nbot0(ji) - jk + epsi20 ) ) |
---|
[921] | 559 | END DO |
---|
[2715] | 560 | END DO |
---|
[825] | 561 | |
---|
| 562 | !------------- |
---|
| 563 | ! NEW PROFILE |
---|
| 564 | !------------- |
---|
| 565 | |
---|
| 566 | !--------------- |
---|
| 567 | ! Vectors index |
---|
| 568 | !--------------- |
---|
[2715] | 569 | ntop1 = 1 |
---|
| 570 | nbot1 = nlay_i |
---|
[825] | 571 | |
---|
| 572 | !------------------ |
---|
| 573 | ! Layers thickness |
---|
| 574 | !------------------ |
---|
| 575 | DO ji = kideb, kiut |
---|
[2715] | 576 | zh_i(ji) = ht_i_b(ji) / nlay_i |
---|
[825] | 577 | ENDDO |
---|
| 578 | |
---|
| 579 | !------------- |
---|
| 580 | ! Layer cotes |
---|
| 581 | !------------- |
---|
[2715] | 582 | z_i(:,0) = 0._wp |
---|
[825] | 583 | DO jk = 1, nlay_i |
---|
[921] | 584 | DO ji = kideb, kiut |
---|
| 585 | z_i(ji,jk) = zh_i(ji) * jk |
---|
| 586 | END DO |
---|
[2715] | 587 | END DO |
---|
[825] | 588 | |
---|
| 589 | !--thicknesses of the layers |
---|
| 590 | DO layer0 = ntop0, maxnbot0 |
---|
[921] | 591 | DO ji = kideb, kiut |
---|
[2715] | 592 | zhl0(ji,layer0) = zm0(ji,layer0) - zm0(ji,layer0-1) ! thicknesses of the layers |
---|
[921] | 593 | END DO |
---|
[2715] | 594 | END DO |
---|
[825] | 595 | |
---|
| 596 | !------------------------ |
---|
| 597 | ! Weights for relayering |
---|
| 598 | !------------------------ |
---|
[2715] | 599 | q_i_b(:,:) = 0._wp |
---|
[825] | 600 | DO layer0 = ntop0, maxnbot0 |
---|
[921] | 601 | DO layer1 = ntop1, nbot1 |
---|
| 602 | DO ji = kideb, kiut |
---|
| 603 | zrl01(layer1,layer0) = MAX(0.0,( MIN(zm0(ji,layer0),z_i(ji,layer1)) & |
---|
| 604 | - MAX(zm0(ji,layer0-1), z_i(ji,layer1-1)))/MAX(zhl0(ji,layer0),epsi10)) |
---|
| 605 | q_i_b(ji,layer1) = q_i_b(ji,layer1) & |
---|
| 606 | + zrl01(layer1,layer0)*qm0(ji,layer0) & |
---|
[2715] | 607 | * MAX(0.0,SIGN(1.0,ht_i_b(ji)-epsi06+epsi20)) & |
---|
| 608 | * MAX(0.0,SIGN(1.0,nbot0(ji)-layer0+epsi20)) |
---|
[921] | 609 | END DO |
---|
| 610 | END DO |
---|
[2715] | 611 | END DO |
---|
[825] | 612 | |
---|
| 613 | !------------------------- |
---|
| 614 | ! Heat conservation check |
---|
| 615 | !------------------------- |
---|
[2715] | 616 | zqti_fin(:) = 0._wp |
---|
[825] | 617 | DO jk = 1, nlay_i |
---|
| 618 | DO ji = kideb, kiut |
---|
| 619 | zqti_fin(ji) = zqti_fin(ji) + q_i_b(ji,jk) |
---|
| 620 | END DO |
---|
| 621 | END DO |
---|
[921] | 622 | ! |
---|
[825] | 623 | DO ji = kideb, kiut |
---|
| 624 | IF ( ABS ( zqti_in(ji) - zqti_fin(ji) ) / rdt_ice .GT. 1.0e-6 ) THEN |
---|
| 625 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
---|
| 626 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
---|
[2715] | 627 | WRITE(numout,*) ' violation of heat conservation : ', ABS ( zqti_in(ji) - zqti_fin(ji) ) / rdt_ice |
---|
[825] | 628 | WRITE(numout,*) ' ji, jj : ', zji, zjj |
---|
| 629 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
---|
| 630 | WRITE(numout,*) ' zqti_in : ', zqti_in(ji) / rdt_ice |
---|
| 631 | WRITE(numout,*) ' zqti_fin : ', zqti_fin(ji) / rdt_ice |
---|
| 632 | WRITE(numout,*) ' dh_i_bott: ', dh_i_bott(ji) |
---|
| 633 | WRITE(numout,*) ' dh_i_surf: ', dh_i_surf(ji) |
---|
| 634 | WRITE(numout,*) ' dh_snowice:', dh_snowice(ji) |
---|
| 635 | WRITE(numout,*) ' icsuswi : ', icsuswi(ji) |
---|
| 636 | WRITE(numout,*) ' icboswi : ', icboswi(ji) |
---|
| 637 | WRITE(numout,*) ' snicswi : ', snicswi(ji) |
---|
| 638 | ENDIF |
---|
| 639 | END DO |
---|
| 640 | |
---|
| 641 | !---------------------- |
---|
| 642 | ! Recover heat content |
---|
| 643 | !---------------------- |
---|
| 644 | DO jk = 1, nlay_i |
---|
| 645 | DO ji = kideb, kiut |
---|
[2715] | 646 | q_i_b(ji,jk) = q_i_b(ji,jk) / MAX( zh_i(ji) , epsi20 ) |
---|
[825] | 647 | END DO !ji |
---|
[2715] | 648 | END DO !jk |
---|
[825] | 649 | |
---|
| 650 | ! Heat conservation |
---|
| 651 | zqti_fin(:) = 0.0 |
---|
| 652 | DO jk = 1, nlay_i |
---|
| 653 | DO ji = kideb, kiut |
---|
| 654 | zqti_fin(ji) = zqti_fin(ji) + q_i_b(ji,jk) * zh_i(ji) |
---|
| 655 | END DO |
---|
| 656 | END DO |
---|
[834] | 657 | |
---|
[921] | 658 | ! |
---|
| 659 | !------------------------------------------------------------------------------| |
---|
| 660 | ! 5) Update salinity and recover temperature | |
---|
| 661 | !------------------------------------------------------------------------------| |
---|
| 662 | ! |
---|
[834] | 663 | ! Update salinity (basal entrapment, snow ice formation) |
---|
[825] | 664 | DO ji = kideb, kiut |
---|
[2715] | 665 | sm_i_b(ji) = sm_i_b(ji) + dsm_i_se_1d(ji) + dsm_i_si_1d(ji) |
---|
[825] | 666 | END DO !ji |
---|
| 667 | |
---|
| 668 | ! Recover temperature |
---|
| 669 | DO jk = 1, nlay_i |
---|
| 670 | DO ji = kideb, kiut |
---|
| 671 | ztmelts = -tmut*s_i_b(ji,jk) + rtt |
---|
| 672 | !Conversion q(S,T) -> T (second order equation) |
---|
| 673 | zaaa = cpic |
---|
[2715] | 674 | zbbb = ( rcp - cpic ) * ( ztmelts - rtt ) + q_i_b(ji,jk) / rhoic - lfus |
---|
[825] | 675 | zccc = lfus * ( ztmelts - rtt ) |
---|
| 676 | zdiscrim = SQRT( MAX(zbbb*zbbb - 4.0*zaaa*zccc,0.0) ) |
---|
[2715] | 677 | t_i_b(ji,jk) = rtt - ( zbbb + zdiscrim ) / ( 2.0 *zaaa ) |
---|
[825] | 678 | END DO !ji |
---|
| 679 | |
---|
| 680 | END DO !jk |
---|
[2715] | 681 | ! |
---|
[3148] | 682 | CALL wrk_dealloc( jpij, snswi, nbot0, icsuind, icsuswi, icboind, icboswi, snicind, snicswi, snind ) ! integer |
---|
| 683 | CALL wrk_dealloc( jpij, zh_i, zh_s, zqsnow, zdeltah, zqti_in, zqts_in, zqti_fin, zqts_fin ) ! real |
---|
| 684 | CALL wrk_dealloc( jpij,jkmax+4, zm0, qm0, z_s, z_i, zthick0, zhl0, kjstart = 0 ) |
---|
| 685 | CALL wrk_dealloc( jkmax+4,jkmax+4, zrl01, kistart = 0, kjstart = 0 ) |
---|
[2715] | 686 | ! |
---|
[921] | 687 | END SUBROUTINE lim_thd_ent |
---|
[825] | 688 | |
---|
| 689 | #else |
---|
[2715] | 690 | !!---------------------------------------------------------------------- |
---|
| 691 | !! Default option NO LIM3 sea-ice model |
---|
| 692 | !!---------------------------------------------------------------------- |
---|
[825] | 693 | CONTAINS |
---|
| 694 | SUBROUTINE lim_thd_ent ! Empty routine |
---|
| 695 | END SUBROUTINE lim_thd_ent |
---|
| 696 | #endif |
---|
[2715] | 697 | |
---|
| 698 | !!====================================================================== |
---|
[921] | 699 | END MODULE limthd_ent |
---|