[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 wrk_nemo ! workspace manager |
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| 30 | USE lib_mpp ! MPP library |
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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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[2528] | 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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| 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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[2715] | 99 | INTEGER, DIMENSION(jpij) :: & |
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| 100 | snswi , & ! snow switch |
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| 101 | nbot0 , & ! old layer bottom index |
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| 102 | icsuind , & ! ice surface index |
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| 103 | icsuswi , & ! ice surface switch |
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| 104 | icboind , & ! ice bottom index |
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| 105 | icboswi , & ! ice bottom switch |
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| 106 | snicind , & ! snow ice index |
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| 107 | snicswi , & ! snow ice switch |
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| 108 | snind ! snow index |
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| 109 | ! |
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| 110 | REAL(wp), DIMENSION(jpij,0:jkmax+3) :: zm0 ! old layer-system vertical cotes |
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| 111 | REAL(wp), DIMENSION(jpij,0:jkmax+3) :: qm0 ! old layer-system heat content |
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| 112 | REAL(wp), DIMENSION(jpij,0:jkmax+3) :: z_s ! new snow system vertical cotes |
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| 113 | REAL(wp), DIMENSION(jpij,0:jkmax+3) :: z_i ! new ice system vertical cotes |
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| 114 | REAL(wp), DIMENSION(jpij,0:jkmax+3) :: zthick0 ! old ice thickness |
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| 115 | REAL(wp), DIMENSION(jpij,0:jkmax+3) :: zhl0 ! old and new layer thicknesses |
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| 116 | ! |
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| 117 | REAL(wp), DIMENSION(0:jkmax+3,0:jkmax+3) :: zrl01 |
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| 118 | ! |
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| 119 | REAL(wp), POINTER, DIMENSION(:) :: zh_i, zqsnow , zqti_in, zqti_fin |
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| 120 | REAL(wp), POINTER, DIMENSION(:) :: zh_s, zdeltah, zqts_in, zqts_fin |
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| 121 | !!------------------------------------------------------------------- |
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[825] | 122 | |
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[2715] | 123 | IF( wrk_in_use(1, 1,2,3,4,5,6,7,8) ) THEN |
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[2777] | 124 | CALL ctl_stop('lim_thd_ent : requestead workspace arrays unavailable') ; RETURN |
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[2715] | 125 | END IF |
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[825] | 126 | |
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[2715] | 127 | ! Set-up pointers to sub-arrays of workspace arrays |
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| 128 | zh_i => wrk_1d_1 (1:jpij) ! thickness of an ice layer |
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| 129 | zh_s => wrk_1d_2 (1:jpij) ! thickness of a snow layer |
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| 130 | zqsnow => wrk_1d_3 (1:jpij) ! enthalpy of the snow put in snow ice |
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| 131 | zdeltah => wrk_1d_4 (1:jpij) ! temporary variable |
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| 132 | zqti_in => wrk_1d_5 (1:jpij) ! Energy conservation |
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| 133 | zqts_in => wrk_1d_6 (1:jpij) ! - - |
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| 134 | zqti_fin => wrk_1d_7 (1:jpij) ! - - |
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| 135 | zqts_fin => wrk_1d_8 (1:jpij) ! - - |
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[921] | 136 | |
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[2715] | 137 | zthick0(:,:) = 0._wp |
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| 138 | zm0 (:,:) = 0._wp |
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| 139 | qm0 (:,:) = 0._wp |
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| 140 | zrl01 (:,:) = 0._wp |
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| 141 | zhl0 (:,:) = 0._wp |
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| 142 | z_i (:,:) = 0._wp |
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| 143 | z_s (:,:) = 0._wp |
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[825] | 144 | |
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[921] | 145 | ! |
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| 146 | !------------------------------------------------------------------------------| |
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| 147 | ! 1) Grid | |
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| 148 | !------------------------------------------------------------------------------| |
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[2715] | 149 | nlays0 = nlay_s |
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| 150 | nlayi0 = nlay_i |
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[825] | 151 | |
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| 152 | DO ji = kideb, kiut |
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[2715] | 153 | zh_i(ji) = old_ht_i_b(ji) / nlay_i |
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| 154 | zh_s(ji) = old_ht_s_b(ji) / nlay_s |
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| 155 | END DO |
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[825] | 156 | |
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[921] | 157 | ! |
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| 158 | !------------------------------------------------------------------------------| |
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| 159 | ! 2) Switches | |
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| 160 | !------------------------------------------------------------------------------| |
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[825] | 161 | ! 2.1 snind(ji), snswi(ji) |
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| 162 | ! snow surface behaviour : computation of snind(ji)-snswi(ji) |
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| 163 | ! snind(ji) : index which equals |
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| 164 | ! 0 if snow is accumulating |
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| 165 | ! 1 if 1st layer is melting |
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| 166 | ! 2 if 2nd layer is melting ... |
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| 167 | DO ji = kideb, kiut |
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[2715] | 168 | snind (ji) = 0 |
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| 169 | zdeltah(ji) = 0._wp |
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[825] | 170 | ENDDO !ji |
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| 171 | |
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| 172 | DO jk = 1, nlays0 |
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[921] | 173 | DO ji = kideb, kiut |
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[2715] | 174 | snind(ji) = jk * INT(MAX(0.0,SIGN(1.0,-dh_s_tot(ji)-zdeltah(ji)-epsi20))) & |
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| 175 | + snind(ji) * (1 - INT(MAX(0.0,SIGN(1.0,-dh_s_tot(ji)-zdeltah(ji)-epsi20)))) |
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[921] | 176 | zdeltah(ji)= zdeltah(ji) + zh_s(ji) |
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| 177 | END DO ! ji |
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[2715] | 178 | END DO ! jk |
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[825] | 179 | |
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| 180 | ! snswi(ji) : switch which value equals 1 if snow melts |
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| 181 | ! 0 if not |
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| 182 | DO ji = kideb, kiut |
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[2715] | 183 | snswi(ji) = MAX(0,INT(-dh_s_tot(ji)/MAX(epsi20,ABS(dh_s_tot(ji))))) |
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| 184 | END DO ! ji |
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[921] | 185 | |
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[825] | 186 | ! 2.2 icsuind(ji), icsuswi(ji) |
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| 187 | ! ice surface behaviour : computation of icsuind(ji)-icsuswi(ji) |
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| 188 | ! icsuind(ji) : index which equals |
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| 189 | ! 0 if nothing happens at the surface |
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| 190 | ! 1 if first layer is melting |
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| 191 | ! 2 if 2nd layer is reached by melt ... |
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| 192 | DO ji = kideb, kiut |
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[2715] | 193 | icsuind(ji) = 0 |
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| 194 | zdeltah(ji) = 0._wp |
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| 195 | END DO !ji |
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[825] | 196 | DO jk = 1, nlayi0 |
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[921] | 197 | DO ji = kideb, kiut |
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[2715] | 198 | icsuind(ji) = jk * INT(MAX(0.0,SIGN(1.0,-dh_i_surf(ji)-zdeltah(ji)-epsi20))) & |
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| 199 | + icsuind(ji) * (1 - INT(MAX(0.0,SIGN(1.0,-dh_i_surf(ji)-zdeltah(ji)-epsi20)))) |
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[921] | 200 | zdeltah(ji) = zdeltah(ji) + zh_i(ji) |
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| 201 | END DO ! ji |
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[825] | 202 | ENDDO !jk |
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| 203 | |
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| 204 | ! icsuswi(ji) : switch which equals |
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| 205 | ! 1 if ice melts at the surface |
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| 206 | ! 0 if not |
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| 207 | DO ji = kideb, kiut |
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[2715] | 208 | icsuswi(ji) = MAX(0,INT(-dh_i_surf(ji)/MAX(epsi20 , ABS(dh_i_surf(ji)) ) ) ) |
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[825] | 209 | ENDDO |
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| 210 | |
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| 211 | ! 2.3 icboind(ji), icboswi(ji) |
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| 212 | ! ice bottom behaviour : computation of icboind(ji)-icboswi(ji) |
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| 213 | ! icboind(ji) : index which equals |
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| 214 | ! 0 if accretion is on the way |
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| 215 | ! 1 if last layer has started to melt |
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| 216 | ! 2 if penultiem layer is melting ... and so on |
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| 217 | ! N+1 if all layers melt and that snow transforms into ice |
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| 218 | DO ji = kideb, kiut |
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[2715] | 219 | icboind(ji) = 0 |
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| 220 | zdeltah(ji) = 0._wp |
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| 221 | END DO |
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[825] | 222 | DO jk = nlayi0, 1, -1 |
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[921] | 223 | DO ji = kideb, kiut |
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[2715] | 224 | icboind(ji) = (nlayi0+1-jk) * INT(MAX(0.0,SIGN(1.0,-dh_i_bott(ji)-zdeltah(ji)-epsi20))) & |
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| 225 | & + icboind(ji) * (1 - INT(MAX(0.0,SIGN(1.0,-dh_i_bott(ji)-zdeltah(ji)-epsi20)))) |
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[921] | 226 | zdeltah(ji) = zdeltah(ji) + zh_i(ji) |
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| 227 | END DO |
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[2715] | 228 | END DO |
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[825] | 229 | |
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| 230 | DO ji = kideb, kiut |
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| 231 | ! case of total ablation with remaining snow |
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[2715] | 232 | IF ( ( ht_i_b(ji) .GT. epsi20 ) .AND. & |
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| 233 | ( ht_i_b(ji) - dh_snowice(ji) .LT. epsi20 ) ) icboind(ji) = nlay_i + 1 |
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[825] | 234 | END DO |
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| 235 | |
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| 236 | ! icboswi(ji) : switch which equals |
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| 237 | ! 1 if ice accretion is on the way |
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| 238 | ! 0 if ablation is on the way |
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| 239 | DO ji = kideb, kiut |
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[2715] | 240 | icboswi(ji) = MAX(0,INT(dh_i_bott(ji) / MAX(epsi20,ABS(dh_i_bott(ji))))) |
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| 241 | END DO |
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[825] | 242 | |
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| 243 | ! 2.4 snicind(ji), snicswi(ji) |
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| 244 | ! snow ice formation : calcul de snicind(ji)-snicswi(ji) |
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| 245 | ! snicind(ji) : index which equals |
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| 246 | ! 0 if no snow-ice forms |
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| 247 | ! 1 if last layer of snow has started to melt |
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| 248 | ! 2 if penultiem layer ... |
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| 249 | DO ji = kideb, kiut |
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[2715] | 250 | snicind(ji) = 0 |
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| 251 | zdeltah(ji) = 0._wp |
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| 252 | END DO |
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[825] | 253 | DO jk = nlays0, 1, -1 |
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[921] | 254 | DO ji = kideb, kiut |
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| 255 | snicind(ji) = (nlays0+1-jk) & |
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[2715] | 256 | * INT(MAX(0.0,SIGN(1.0,dh_snowice(ji)-zdeltah(ji)-epsi20))) + snicind(ji) & |
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| 257 | * (1 - INT(MAX(0.0,SIGN(1.0,dh_snowice(ji)-zdeltah(ji)-epsi20)))) |
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[921] | 258 | zdeltah(ji) = zdeltah(ji) + zh_s(ji) |
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| 259 | END DO |
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[2715] | 260 | END DO |
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[825] | 261 | |
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| 262 | ! snicswi(ji) : switch which equals |
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| 263 | ! 1 if snow-ice forms |
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| 264 | ! 0 if not |
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| 265 | DO ji = kideb, kiut |
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[2715] | 266 | snicswi(ji) = MAX(0,INT(dh_snowice(ji)/MAX(epsi20,ABS(dh_snowice(ji))))) |
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[825] | 267 | ENDDO |
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| 268 | |
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[921] | 269 | ! |
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| 270 | !------------------------------------------------------------------------------| |
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| 271 | ! 3) Snow redistribution | |
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| 272 | !------------------------------------------------------------------------------| |
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| 273 | ! |
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[825] | 274 | !------------- |
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| 275 | ! Old profile |
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| 276 | !------------- |
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| 277 | |
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| 278 | ! by 'old', it is meant that layers coming from accretion are included, |
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| 279 | ! and that interfacial layers which were partly melted are reduced |
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| 280 | |
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| 281 | ! indexes of the vectors |
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| 282 | !------------------------ |
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[2715] | 283 | ntop0 = 1 |
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| 284 | maxnbot0 = 0 |
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[825] | 285 | |
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| 286 | DO ji = kideb, kiut |
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[2715] | 287 | nbot0(ji) = nlays0 + 1 - snind(ji) + ( 1. - snicind(ji) ) * snicswi(ji) |
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[921] | 288 | ! cotes of the top of the layers |
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[2715] | 289 | zm0(ji,0) = 0._wp |
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| 290 | maxnbot0 = MAX ( maxnbot0 , nbot0(ji) ) |
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| 291 | END DO |
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| 292 | IF( lk_mpp ) CALL mpp_max( maxnbot0, kcom=ncomm_ice ) |
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[825] | 293 | |
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| 294 | DO jk = 1, maxnbot0 |
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[921] | 295 | DO ji = kideb, kiut |
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| 296 | !change |
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[2715] | 297 | limsum = ( 1 - snswi(ji) ) * ( jk - 1 ) + snswi(ji) * ( jk + snind(ji) - 1 ) |
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| 298 | limsum = MIN( limsum , nlay_s ) |
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| 299 | zm0(ji,jk) = dh_s_tot(ji) + zh_s(ji) * limsum |
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[921] | 300 | END DO |
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[2715] | 301 | END DO |
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[825] | 302 | |
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| 303 | DO ji = kideb, kiut |
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[2715] | 304 | zm0(ji,nbot0(ji)) = dh_s_tot(ji) - snicswi(ji) * dh_snowice(ji) + zh_s(ji) * nlays0 |
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| 305 | zm0(ji,1) = dh_s_tot(ji) * (1 -snswi(ji) ) + snswi(ji) * zm0(ji,1) |
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| 306 | END DO |
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[825] | 307 | |
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| 308 | DO jk = ntop0, maxnbot0 |
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[921] | 309 | DO ji = kideb, kiut |
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[2715] | 310 | zthick0(ji,jk) = zm0(ji,jk) - zm0(ji,jk-1) ! layer thickness |
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[921] | 311 | END DO |
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[2715] | 312 | END DO |
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[825] | 313 | |
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[2715] | 314 | zqts_in(:) = 0._wp |
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[921] | 315 | |
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[2715] | 316 | DO ji = kideb, kiut ! layer heat content |
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| 317 | qm0 (ji,1) = rhosn * ( cpic * ( rtt - ( 1. - snswi(ji) ) * tatm_ice_1d(ji) & |
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| 318 | & - snswi(ji) * t_s_b (ji,1) ) & |
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| 319 | & + lfus ) * zthick0(ji,1) |
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| 320 | zqts_in(ji) = zqts_in(ji) + qm0(ji,1) |
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| 321 | END DO |
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[825] | 322 | |
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| 323 | DO jk = 2, maxnbot0 |
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[921] | 324 | DO ji = kideb, kiut |
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[2715] | 325 | limsum = ( 1 - snswi(ji) ) * ( jk - 1 ) + snswi(ji) * ( jk + snind(ji) - 1 ) |
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[921] | 326 | limsum = MIN( limsum , nlay_s ) |
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[2715] | 327 | qm0(ji,jk) = rhosn * ( cpic * ( rtt - t_s_b(ji,limsum) ) + lfus ) * zthick0(ji,jk) |
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| 328 | zswitch = 1.0 - MAX (0.0, SIGN ( 1.0, epsi20 - ht_s_b(ji) ) ) |
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[921] | 329 | zqts_in(ji) = zqts_in(ji) + ( 1. - snswi(ji) ) * qm0(ji,jk) * zswitch |
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| 330 | END DO ! jk |
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[2715] | 331 | END DO ! ji |
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[825] | 332 | |
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| 333 | !------------------------------------------------ |
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| 334 | ! Energy given by the snow in snow-ice formation |
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| 335 | !------------------------------------------------ |
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| 336 | ! zqsnow, enthalpy of the flooded snow |
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| 337 | DO ji = kideb, kiut |
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[2715] | 338 | zqsnow (ji) = rhosn * lfus |
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| 339 | zdeltah(ji) = 0._wp |
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| 340 | END DO |
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[825] | 341 | |
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| 342 | DO jk = nlays0, 1, -1 |
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[921] | 343 | DO ji = kideb, kiut |
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[2715] | 344 | zhsnow = MAX( 0._wp , dh_snowice(ji)-zdeltah(ji) ) |
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| 345 | zqsnow (ji) = zqsnow (ji) + rhosn*cpic*(rtt-t_s_b(ji,jk)) |
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[921] | 346 | zdeltah(ji) = zdeltah(ji) + zh_s(ji) |
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| 347 | END DO |
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[2715] | 348 | END DO |
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[825] | 349 | |
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| 350 | DO ji = kideb, kiut |
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| 351 | zqsnow(ji) = zqsnow(ji) * dh_snowice(ji) |
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| 352 | END DO |
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| 353 | |
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| 354 | !------------------ |
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[834] | 355 | ! new snow profile |
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[825] | 356 | !------------------ |
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| 357 | |
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| 358 | !-------------- |
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| 359 | ! Vector index |
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| 360 | !-------------- |
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[2715] | 361 | ntop1 = 1 |
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| 362 | nbot1 = nlay_s |
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[825] | 363 | |
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| 364 | !------------------- |
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| 365 | ! Layer coordinates |
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| 366 | !------------------- |
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| 367 | DO ji = kideb, kiut |
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| 368 | zh_s(ji) = ht_s_b(ji) / nlay_s |
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[2715] | 369 | z_s(ji,0) = 0._wp |
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[825] | 370 | ENDDO |
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| 371 | |
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| 372 | DO jk = 1, nlay_s |
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[921] | 373 | DO ji = kideb, kiut |
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| 374 | z_s(ji,jk) = zh_s(ji) * jk |
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| 375 | END DO |
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[2715] | 376 | END DO |
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[825] | 377 | |
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| 378 | !----------------- |
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| 379 | ! Layer thickness |
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| 380 | !----------------- |
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| 381 | DO layer0 = ntop0, maxnbot0 |
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[921] | 382 | DO ji = kideb, kiut |
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| 383 | zhl0(ji,layer0) = zm0(ji,layer0) - zm0(ji,layer0-1) |
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| 384 | END DO |
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[2715] | 385 | END DO |
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[825] | 386 | |
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| 387 | DO layer1 = ntop1, nbot1 |
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[921] | 388 | DO ji = kideb, kiut |
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[2715] | 389 | q_s_b(ji,layer1) = 0._wp |
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[921] | 390 | END DO |
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[2715] | 391 | END DO |
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[825] | 392 | |
---|
| 393 | !---------------- |
---|
| 394 | ! Weight factors |
---|
| 395 | !---------------- |
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| 396 | DO layer0 = ntop0, maxnbot0 |
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[921] | 397 | DO layer1 = ntop1, nbot1 |
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| 398 | DO ji = kideb, kiut |
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[2715] | 399 | zrl01(layer1,layer0) = MAX(0.0,( MIN(zm0(ji,layer0),z_s(ji,layer1)) & |
---|
| 400 | & - MAX(zm0(ji,layer0-1), z_s(ji,layer1-1))) / MAX(zhl0(ji,layer0),epsi10)) |
---|
| 401 | q_s_b(ji,layer1) = q_s_b(ji,layer1) + zrl01(layer1,layer0)*qm0(ji,layer0) & |
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| 402 | & * MAX(0.0,SIGN(1.0,nbot0(ji)-layer0+epsi20)) |
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[921] | 403 | END DO |
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| 404 | END DO |
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[2715] | 405 | END DO |
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[825] | 406 | |
---|
| 407 | ! Heat conservation |
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[2715] | 408 | zqts_fin(:) = 0._wp |
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[825] | 409 | DO jk = 1, nlay_s |
---|
| 410 | DO ji = kideb, kiut |
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| 411 | zqts_fin(ji) = zqts_fin(ji) + q_s_b(ji,jk) |
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| 412 | END DO |
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| 413 | END DO |
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| 414 | |
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| 415 | IF ( con_i ) THEN |
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[921] | 416 | DO ji = kideb, kiut |
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| 417 | IF ( ABS ( zqts_in(ji) - zqts_fin(ji) ) / rdt_ice .GT. 1.0e-6 ) THEN |
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| 418 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
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| 419 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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| 420 | WRITE(numout,*) ' violation of heat conservation : ', & |
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| 421 | ABS ( zqts_in(ji) - zqts_fin(ji) ) / rdt_ice |
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| 422 | WRITE(numout,*) ' ji, jj : ', zji, zjj |
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| 423 | WRITE(numout,*) ' ht_s_b : ', ht_s_b(ji) |
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| 424 | WRITE(numout,*) ' zqts_in : ', zqts_in(ji) / rdt_ice |
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| 425 | WRITE(numout,*) ' zqts_fin : ', zqts_fin(ji) / rdt_ice |
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| 426 | WRITE(numout,*) ' dh_snowice : ', dh_snowice(ji) |
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| 427 | WRITE(numout,*) ' dh_s_tot : ', dh_s_tot(ji) |
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| 428 | WRITE(numout,*) ' snswi : ', snswi(ji) |
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| 429 | ENDIF |
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| 430 | END DO |
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[825] | 431 | ENDIF |
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| 432 | |
---|
| 433 | !--------------------- |
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| 434 | ! Recover heat content |
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| 435 | !--------------------- |
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[1724] | 436 | DO jk = 1, nlay_s |
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[825] | 437 | DO ji = kideb, kiut |
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[2715] | 438 | q_s_b(ji,jk) = q_s_b(ji,jk) / MAX( zh_s(ji) , epsi20 ) |
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[825] | 439 | END DO !ji |
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[2715] | 440 | END DO !jk |
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[825] | 441 | |
---|
| 442 | !--------------------- |
---|
| 443 | ! Recover temperature |
---|
| 444 | !--------------------- |
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| 445 | zfac1 = 1. / ( rhosn * cpic ) |
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| 446 | zfac2 = lfus / cpic |
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| 447 | DO jk = 1, nlay_s |
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[921] | 448 | DO ji = kideb, kiut |
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[2715] | 449 | zswitch = MAX ( 0.0 , SIGN ( 1.0, epsi20 - ht_s_b(ji) ) ) |
---|
| 450 | t_s_b(ji,jk) = rtt + ( 1.0 - zswitch ) * ( - zfac1 * q_s_b(ji,jk) + zfac2 ) |
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[921] | 451 | END DO |
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[2715] | 452 | END DO |
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[921] | 453 | ! |
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| 454 | !------------------------------------------------------------------------------| |
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| 455 | ! 4) Ice redistribution | |
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| 456 | !------------------------------------------------------------------------------| |
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| 457 | ! |
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[825] | 458 | !------------- |
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| 459 | ! OLD PROFILE |
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| 460 | !------------- |
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| 461 | |
---|
| 462 | !---------------- |
---|
| 463 | ! Vector indexes |
---|
| 464 | !---------------- |
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[2715] | 465 | ntop0 = 1 |
---|
| 466 | maxnbot0 = 0 |
---|
[825] | 467 | |
---|
| 468 | DO ji = kideb, kiut |
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[921] | 469 | ! reference number of the bottommost layer |
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[2715] | 470 | nbot0(ji) = MAX( 1 , MIN( nlayi0 + ( 1 - icboind(ji) ) + & |
---|
| 471 | & ( 1 - icsuind(ji) ) * icsuswi(ji) + snicswi(ji) , nlay_i + 2 ) ) |
---|
[825] | 472 | ! maximum reference number of the bottommost layer over all domain |
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[2715] | 473 | maxnbot0 = MAX( maxnbot0 , nbot0(ji) ) |
---|
| 474 | END DO |
---|
[825] | 475 | |
---|
| 476 | !------------------------- |
---|
| 477 | ! Cotes of old ice layers |
---|
| 478 | !------------------------- |
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[2777] | 479 | zm0(:,0) = 0._wp |
---|
[921] | 480 | |
---|
[825] | 481 | DO jk = 1, maxnbot0 |
---|
| 482 | DO ji = kideb, kiut |
---|
| 483 | ! jk goes from 1 to nbot0 |
---|
| 484 | ! the ice layer number goes from 1 to nlay_i |
---|
| 485 | ! limsum is the real ice layer number corresponding to present jk |
---|
[834] | 486 | limsum = ( (icsuswi(ji)*(icsuind(ji)+jk-1) + & |
---|
[921] | 487 | (1-icsuswi(ji))*jk))*(1-snicswi(ji)) + (jk-1)*snicswi(ji) |
---|
[825] | 488 | zm0(ji,jk)= icsuswi(ji)*dh_i_surf(ji) + snicswi(ji)*dh_snowice(ji) & |
---|
[921] | 489 | + limsum * zh_i(ji) |
---|
[825] | 490 | END DO |
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[2715] | 491 | END DO |
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[825] | 492 | |
---|
| 493 | DO ji = kideb, kiut |
---|
| 494 | zm0(ji,nbot0(ji)) = icsuswi(ji)*dh_i_surf(ji) + snicswi(ji)*dh_snowice(ji) + dh_i_bott(ji) & |
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[921] | 495 | + zh_i(ji) * nlayi0 |
---|
[825] | 496 | zm0(ji,1) = snicswi(ji)*dh_snowice(ji) + (1-snicswi(ji))*zm0(ji,1) |
---|
[2715] | 497 | END DO |
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[825] | 498 | |
---|
| 499 | !----------------------------- |
---|
| 500 | ! Thickness of old ice layers |
---|
| 501 | !----------------------------- |
---|
| 502 | DO jk = ntop0, maxnbot0 |
---|
[921] | 503 | DO ji = kideb, kiut |
---|
| 504 | zthick0(ji,jk) = zm0(ji,jk) - zm0(ji,jk-1) |
---|
| 505 | END DO |
---|
[2715] | 506 | END DO |
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[825] | 507 | |
---|
| 508 | !--------------------------- |
---|
| 509 | ! Inner layers heat content |
---|
| 510 | !--------------------------- |
---|
| 511 | qm0(:,:) = 0.0 |
---|
| 512 | zqti_in(:) = 0.0 |
---|
| 513 | |
---|
| 514 | DO jk = ntop0, maxnbot0 |
---|
| 515 | DO ji = kideb, kiut |
---|
| 516 | limsum = MAX(1,MIN(snicswi(ji)*(jk-1) + icsuswi(ji)*(jk-1+icsuind(ji)) + & |
---|
[921] | 517 | (1-icsuswi(ji))*(1-snicswi(ji))*jk,nlay_i)) |
---|
[825] | 518 | ztmelts = -tmut * s_i_b(ji,limsum) + rtt |
---|
| 519 | qm0(ji,jk) = rhoic * ( cpic * (ztmelts-t_i_b(ji,limsum)) + lfus * ( 1.0-(ztmelts-rtt)/ & |
---|
[2715] | 520 | MIN((t_i_b(ji,limsum)-rtt),-epsi20) ) - rcp*(ztmelts-rtt) ) & |
---|
[921] | 521 | * zthick0(ji,jk) |
---|
[825] | 522 | END DO |
---|
[2715] | 523 | END DO |
---|
[825] | 524 | |
---|
| 525 | !---------------------------- |
---|
| 526 | ! Bottom layers heat content |
---|
| 527 | !---------------------------- |
---|
| 528 | DO ji = kideb, kiut |
---|
[2715] | 529 | ztmelts = ( 1.0 - icboswi(ji) ) * (-tmut * s_i_b (ji,nlayi0) ) & ! case of melting ice |
---|
| 530 | & + icboswi(ji) * (-tmut * s_i_new(ji) ) & ! case of forming ice |
---|
| 531 | & + rtt ! in Kelvin |
---|
[825] | 532 | |
---|
[921] | 533 | ! bottom formation temperature |
---|
| 534 | ztform = t_i_b(ji,nlay_i) |
---|
| 535 | IF ( ( num_sal .EQ. 2 ) .OR. ( num_sal .EQ. 4 ) ) ztform = t_bo_b(ji) |
---|
[2715] | 536 | qm0(ji,nbot0(ji)) = ( 1.0 - icboswi(ji) )*qm0(ji,nbot0(ji)) & ! case of melting ice |
---|
| 537 | & + icboswi(ji) * rhoic * ( cpic*(ztmelts-ztform) & ! case of forming ice |
---|
| 538 | + lfus *( 1.0-(ztmelts-rtt) / MIN ( (ztform-rtt) , - epsi10 ) ) & |
---|
| 539 | - rcp*(ztmelts-rtt) ) * zthick0(ji,nbot0(ji) ) |
---|
| 540 | END DO |
---|
[825] | 541 | |
---|
| 542 | !----------------------------- |
---|
| 543 | ! Snow ice layer heat content |
---|
| 544 | !----------------------------- |
---|
| 545 | DO ji = kideb, kiut |
---|
| 546 | ! energy of the flooding seawater |
---|
| 547 | zqsnic = rau0 * rcp * ( rtt - t_bo_b(ji) ) * dh_snowice(ji) * & |
---|
[921] | 548 | (rhoic - rhosn) / rhoic * snicswi(ji) ! generally positive |
---|
[825] | 549 | ! Heat conservation diagnostic |
---|
| 550 | qt_i_in(ji,jl) = qt_i_in(ji,jl) + zqsnic |
---|
| 551 | |
---|
| 552 | qldif_1d(ji) = qldif_1d(ji) + zqsnic * a_i_b(ji) |
---|
| 553 | |
---|
| 554 | ! enthalpy of the newly formed snow-ice layer |
---|
| 555 | ! = enthalpy of snow + enthalpy of frozen water |
---|
| 556 | zqsnic = zqsnow(ji) + zqsnic |
---|
| 557 | qm0(ji,1) = snicswi(ji) * zqsnic + ( 1 - snicswi(ji) ) * qm0(ji,1) |
---|
| 558 | |
---|
[2715] | 559 | END DO ! ji |
---|
[825] | 560 | |
---|
| 561 | DO jk = ntop0, maxnbot0 |
---|
[921] | 562 | DO ji = kideb, kiut |
---|
| 563 | ! Heat conservation |
---|
[2715] | 564 | zqti_in(ji) = zqti_in(ji) + qm0(ji,jk) * MAX( 0.0 , SIGN(1.0,ht_i_b(ji)-epsi06+epsi20) ) & |
---|
| 565 | & * MAX( 0.0 , SIGN( 1. , nbot0(ji) - jk + epsi20 ) ) |
---|
[921] | 566 | END DO |
---|
[2715] | 567 | END DO |
---|
[825] | 568 | |
---|
| 569 | !------------- |
---|
| 570 | ! NEW PROFILE |
---|
| 571 | !------------- |
---|
| 572 | |
---|
| 573 | !--------------- |
---|
| 574 | ! Vectors index |
---|
| 575 | !--------------- |
---|
[2715] | 576 | ntop1 = 1 |
---|
| 577 | nbot1 = nlay_i |
---|
[825] | 578 | |
---|
| 579 | !------------------ |
---|
| 580 | ! Layers thickness |
---|
| 581 | !------------------ |
---|
| 582 | DO ji = kideb, kiut |
---|
[2715] | 583 | zh_i(ji) = ht_i_b(ji) / nlay_i |
---|
[825] | 584 | ENDDO |
---|
| 585 | |
---|
| 586 | !------------- |
---|
| 587 | ! Layer cotes |
---|
| 588 | !------------- |
---|
[2715] | 589 | z_i(:,0) = 0._wp |
---|
[825] | 590 | DO jk = 1, nlay_i |
---|
[921] | 591 | DO ji = kideb, kiut |
---|
| 592 | z_i(ji,jk) = zh_i(ji) * jk |
---|
| 593 | END DO |
---|
[2715] | 594 | END DO |
---|
[825] | 595 | |
---|
| 596 | !--thicknesses of the layers |
---|
| 597 | DO layer0 = ntop0, maxnbot0 |
---|
[921] | 598 | DO ji = kideb, kiut |
---|
[2715] | 599 | zhl0(ji,layer0) = zm0(ji,layer0) - zm0(ji,layer0-1) ! thicknesses of the layers |
---|
[921] | 600 | END DO |
---|
[2715] | 601 | END DO |
---|
[825] | 602 | |
---|
| 603 | !------------------------ |
---|
| 604 | ! Weights for relayering |
---|
| 605 | !------------------------ |
---|
[2715] | 606 | q_i_b(:,:) = 0._wp |
---|
[825] | 607 | DO layer0 = ntop0, maxnbot0 |
---|
[921] | 608 | DO layer1 = ntop1, nbot1 |
---|
| 609 | DO ji = kideb, kiut |
---|
| 610 | zrl01(layer1,layer0) = MAX(0.0,( MIN(zm0(ji,layer0),z_i(ji,layer1)) & |
---|
| 611 | - MAX(zm0(ji,layer0-1), z_i(ji,layer1-1)))/MAX(zhl0(ji,layer0),epsi10)) |
---|
| 612 | q_i_b(ji,layer1) = q_i_b(ji,layer1) & |
---|
| 613 | + zrl01(layer1,layer0)*qm0(ji,layer0) & |
---|
[2715] | 614 | * MAX(0.0,SIGN(1.0,ht_i_b(ji)-epsi06+epsi20)) & |
---|
| 615 | * MAX(0.0,SIGN(1.0,nbot0(ji)-layer0+epsi20)) |
---|
[921] | 616 | END DO |
---|
| 617 | END DO |
---|
[2715] | 618 | END DO |
---|
[825] | 619 | |
---|
| 620 | !------------------------- |
---|
| 621 | ! Heat conservation check |
---|
| 622 | !------------------------- |
---|
[2715] | 623 | zqti_fin(:) = 0._wp |
---|
[825] | 624 | DO jk = 1, nlay_i |
---|
| 625 | DO ji = kideb, kiut |
---|
| 626 | zqti_fin(ji) = zqti_fin(ji) + q_i_b(ji,jk) |
---|
| 627 | END DO |
---|
| 628 | END DO |
---|
[921] | 629 | ! |
---|
[825] | 630 | DO ji = kideb, kiut |
---|
| 631 | IF ( ABS ( zqti_in(ji) - zqti_fin(ji) ) / rdt_ice .GT. 1.0e-6 ) THEN |
---|
| 632 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
---|
| 633 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
---|
[2715] | 634 | WRITE(numout,*) ' violation of heat conservation : ', ABS ( zqti_in(ji) - zqti_fin(ji) ) / rdt_ice |
---|
[825] | 635 | WRITE(numout,*) ' ji, jj : ', zji, zjj |
---|
| 636 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
---|
| 637 | WRITE(numout,*) ' zqti_in : ', zqti_in(ji) / rdt_ice |
---|
| 638 | WRITE(numout,*) ' zqti_fin : ', zqti_fin(ji) / rdt_ice |
---|
| 639 | WRITE(numout,*) ' dh_i_bott: ', dh_i_bott(ji) |
---|
| 640 | WRITE(numout,*) ' dh_i_surf: ', dh_i_surf(ji) |
---|
| 641 | WRITE(numout,*) ' dh_snowice:', dh_snowice(ji) |
---|
| 642 | WRITE(numout,*) ' icsuswi : ', icsuswi(ji) |
---|
| 643 | WRITE(numout,*) ' icboswi : ', icboswi(ji) |
---|
| 644 | WRITE(numout,*) ' snicswi : ', snicswi(ji) |
---|
| 645 | ENDIF |
---|
| 646 | END DO |
---|
| 647 | |
---|
| 648 | !---------------------- |
---|
| 649 | ! Recover heat content |
---|
| 650 | !---------------------- |
---|
| 651 | DO jk = 1, nlay_i |
---|
| 652 | DO ji = kideb, kiut |
---|
[2715] | 653 | q_i_b(ji,jk) = q_i_b(ji,jk) / MAX( zh_i(ji) , epsi20 ) |
---|
[825] | 654 | END DO !ji |
---|
[2715] | 655 | END DO !jk |
---|
[825] | 656 | |
---|
| 657 | ! Heat conservation |
---|
| 658 | zqti_fin(:) = 0.0 |
---|
| 659 | DO jk = 1, nlay_i |
---|
| 660 | DO ji = kideb, kiut |
---|
| 661 | zqti_fin(ji) = zqti_fin(ji) + q_i_b(ji,jk) * zh_i(ji) |
---|
| 662 | END DO |
---|
| 663 | END DO |
---|
[834] | 664 | |
---|
[921] | 665 | ! |
---|
| 666 | !------------------------------------------------------------------------------| |
---|
| 667 | ! 5) Update salinity and recover temperature | |
---|
| 668 | !------------------------------------------------------------------------------| |
---|
| 669 | ! |
---|
[834] | 670 | ! Update salinity (basal entrapment, snow ice formation) |
---|
[825] | 671 | DO ji = kideb, kiut |
---|
[2715] | 672 | sm_i_b(ji) = sm_i_b(ji) + dsm_i_se_1d(ji) + dsm_i_si_1d(ji) |
---|
[825] | 673 | END DO !ji |
---|
| 674 | |
---|
| 675 | ! Recover temperature |
---|
| 676 | DO jk = 1, nlay_i |
---|
| 677 | DO ji = kideb, kiut |
---|
| 678 | ztmelts = -tmut*s_i_b(ji,jk) + rtt |
---|
| 679 | !Conversion q(S,T) -> T (second order equation) |
---|
| 680 | zaaa = cpic |
---|
[2715] | 681 | zbbb = ( rcp - cpic ) * ( ztmelts - rtt ) + q_i_b(ji,jk) / rhoic - lfus |
---|
[825] | 682 | zccc = lfus * ( ztmelts - rtt ) |
---|
| 683 | zdiscrim = SQRT( MAX(zbbb*zbbb - 4.0*zaaa*zccc,0.0) ) |
---|
[2715] | 684 | t_i_b(ji,jk) = rtt - ( zbbb + zdiscrim ) / ( 2.0 *zaaa ) |
---|
[825] | 685 | END DO !ji |
---|
| 686 | |
---|
| 687 | END DO !jk |
---|
[2715] | 688 | ! |
---|
| 689 | IF( wrk_not_released(1, 1,2,3,4,5,6,7,8) ) CALL ctl_stop( 'lim_thd_ent : failed to release workspace arrays' ) |
---|
| 690 | ! |
---|
[921] | 691 | END SUBROUTINE lim_thd_ent |
---|
[825] | 692 | |
---|
| 693 | #else |
---|
[2715] | 694 | !!---------------------------------------------------------------------- |
---|
| 695 | !! Default option NO LIM3 sea-ice model |
---|
| 696 | !!---------------------------------------------------------------------- |
---|
[825] | 697 | CONTAINS |
---|
| 698 | SUBROUTINE lim_thd_ent ! Empty routine |
---|
| 699 | END SUBROUTINE lim_thd_ent |
---|
| 700 | #endif |
---|
[2715] | 701 | |
---|
| 702 | !!====================================================================== |
---|
[921] | 703 | END MODULE limthd_ent |
---|