[825] | 1 | MODULE limitd_th |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE limitd_th *** |
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[3625] | 4 | !! LIM3 ice model : ice thickness distribution: Thermodynamics |
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[825] | 5 | !!====================================================================== |
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[2715] | 6 | !! History : - ! (W. H. Lipscomb and E.C. Hunke) CICE (c) original code |
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| 7 | !! 3.0 ! 2005-12 (M. Vancoppenolle) adaptation to LIM-3 |
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[4869] | 8 | !! - ! 2006-06 (M. Vancoppenolle) adaptation to include salt, age |
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[2715] | 9 | !! - ! 2007-04 (M. Vancoppenolle) Mass conservation checked |
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| 10 | !!---------------------------------------------------------------------- |
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[2528] | 11 | #if defined key_lim3 |
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[825] | 12 | !!---------------------------------------------------------------------- |
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[2528] | 13 | !! 'key_lim3' : LIM3 sea-ice model |
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| 14 | !!---------------------------------------------------------------------- |
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[2715] | 15 | !! lim_itd_th_rem : |
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| 16 | !! lim_itd_th_reb : |
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| 17 | !! lim_itd_fitline : |
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| 18 | !! lim_itd_shiftice : |
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[2528] | 19 | !!---------------------------------------------------------------------- |
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[4161] | 20 | USE par_oce ! ocean parameters |
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| 21 | USE dom_oce ! ocean domain |
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| 22 | USE phycst ! physical constants (ocean directory) |
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| 23 | USE thd_ice ! LIM-3 thermodynamic variables |
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| 24 | USE ice ! LIM-3 variables |
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| 25 | USE limvar ! LIM-3 variables |
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| 26 | USE prtctl ! Print control |
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| 27 | USE in_out_manager ! I/O manager |
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| 28 | USE lib_mpp ! MPP library |
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| 29 | USE wrk_nemo ! work arrays |
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| 30 | USE lib_fortran ! to use key_nosignedzero |
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[5123] | 31 | USE limcons ! conservation tests |
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[921] | 32 | |
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[825] | 33 | IMPLICIT NONE |
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| 34 | PRIVATE |
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| 35 | |
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[2715] | 36 | PUBLIC lim_itd_th_rem |
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| 37 | PUBLIC lim_itd_th_reb |
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[825] | 38 | |
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| 39 | !!---------------------------------------------------------------------- |
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[4161] | 40 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2010) |
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[1156] | 41 | !! $Id$ |
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[2715] | 42 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[825] | 43 | !!---------------------------------------------------------------------- |
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| 44 | CONTAINS |
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| 45 | |
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[4869] | 46 | SUBROUTINE lim_itd_th_rem( klbnd, kubnd, kt ) |
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[921] | 47 | !!------------------------------------------------------------------ |
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| 48 | !! *** ROUTINE lim_itd_th_rem *** |
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| 49 | !! |
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[2715] | 50 | !! ** Purpose : computes the redistribution of ice thickness |
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| 51 | !! after thermodynamic growth of ice thickness |
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| 52 | !! |
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[921] | 53 | !! ** Method : Linear remapping |
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| 54 | !! |
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[2715] | 55 | !! References : W.H. Lipscomb, JGR 2001 |
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[921] | 56 | !!------------------------------------------------------------------ |
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[2715] | 57 | INTEGER , INTENT (in) :: klbnd ! Start thickness category index point |
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| 58 | INTEGER , INTENT (in) :: kubnd ! End point on which the the computation is applied |
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| 59 | INTEGER , INTENT (in) :: kt ! Ocean time step |
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| 60 | ! |
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| 61 | INTEGER :: ji, jj, jl ! dummy loop index |
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[4161] | 62 | INTEGER :: ii, ij ! 2D corresponding indices to ji |
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| 63 | INTEGER :: nd ! local integer |
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[2715] | 64 | REAL(wp) :: zx1, zwk1, zdh0, zetamin, zdamax ! local scalars |
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[4161] | 65 | REAL(wp) :: zx2, zwk2, zda0, zetamax ! - - |
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[5123] | 66 | REAL(wp) :: zx3 |
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[2715] | 67 | CHARACTER (len = 15) :: fieldid |
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[825] | 68 | |
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[3294] | 69 | INTEGER , POINTER, DIMENSION(:,:,:) :: zdonor ! donor category index |
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[825] | 70 | |
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[3294] | 71 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zdhice ! ice thickness increment |
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| 72 | REAL(wp), POINTER, DIMENSION(:,:,:) :: g0 ! coefficients for fitting the line of the ITD |
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| 73 | REAL(wp), POINTER, DIMENSION(:,:,:) :: g1 ! coefficients for fitting the line of the ITD |
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| 74 | REAL(wp), POINTER, DIMENSION(:,:,:) :: hL ! left boundary for the ITD for each thickness |
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| 75 | REAL(wp), POINTER, DIMENSION(:,:,:) :: hR ! left boundary for the ITD for each thickness |
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[4872] | 76 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zht_i_b ! old ice thickness |
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[3294] | 77 | REAL(wp), POINTER, DIMENSION(:,:,:) :: dummy_es |
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| 78 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zdaice, zdvice ! local increment of ice area and volume |
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| 79 | REAL(wp), POINTER, DIMENSION(:) :: zvetamin, zvetamax ! maximum values for etas |
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| 80 | INTEGER , POINTER, DIMENSION(:) :: nind_i, nind_j ! compressed indices for i/j directions |
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| 81 | INTEGER :: nbrem ! number of cells with ice to transfer |
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| 82 | REAL(wp) :: zslope ! used to compute local thermodynamic "speeds" |
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| 83 | REAL(wp), POINTER, DIMENSION(:,:) :: zhb0, zhb1 ! category boundaries for thinnes categories |
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| 84 | REAL(wp), POINTER, DIMENSION(:,:) :: vt_i_init, vt_i_final ! ice volume summed over categories |
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| 85 | REAL(wp), POINTER, DIMENSION(:,:) :: vt_s_init, vt_s_final ! snow volume summed over categories |
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| 86 | REAL(wp), POINTER, DIMENSION(:,:) :: et_i_init, et_i_final ! ice energy summed over categories |
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| 87 | REAL(wp), POINTER, DIMENSION(:,:) :: et_s_init, et_s_final ! snow energy summed over categories |
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| 88 | INTEGER , POINTER, DIMENSION(:,:) :: zremap_flag ! compute remapping or not ???? |
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| 89 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zhbnew ! new boundaries of ice categories |
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| 90 | !!------------------------------------------------------------------ |
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[825] | 91 | |
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[5407] | 92 | CALL wrk_alloc( jpi,jpj, zremap_flag ) |
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| 93 | CALL wrk_alloc( jpi,jpj,jpl-1, zdonor ) |
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[4872] | 94 | CALL wrk_alloc( jpi,jpj,jpl, zdhice, g0, g1, hL, hR, zht_i_b, dummy_es ) |
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[3294] | 95 | CALL wrk_alloc( jpi,jpj,jpl-1, zdaice, zdvice ) |
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| 96 | CALL wrk_alloc( jpi,jpj,jpl+1, zhbnew, kkstart = 0 ) |
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| 97 | CALL wrk_alloc( (jpi+1)*(jpj+1), zvetamin, zvetamax ) |
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[5407] | 98 | CALL wrk_alloc( (jpi+1)*(jpj+1), nind_i, nind_j ) |
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[3294] | 99 | CALL wrk_alloc( jpi,jpj, zhb0,zhb1,vt_i_init,vt_i_final,vt_s_init,vt_s_final,et_i_init,et_i_final,et_s_init,et_s_final ) |
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[825] | 100 | |
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[921] | 101 | !!---------------------------------------------------------------------------------------------- |
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| 102 | !! 0) Conservation checkand changes in each ice category |
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| 103 | !!---------------------------------------------------------------------------------------------- |
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[2715] | 104 | IF( con_i ) THEN |
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[825] | 105 | CALL lim_column_sum (jpl, v_i, vt_i_init) |
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| 106 | CALL lim_column_sum (jpl, v_s, vt_s_init) |
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| 107 | CALL lim_column_sum_energy (jpl, nlay_i, e_i, et_i_init) |
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| 108 | dummy_es(:,:,:) = e_s(:,:,1,:) |
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| 109 | CALL lim_column_sum (jpl, dummy_es(:,:,:) , et_s_init) |
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| 110 | ENDIF |
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| 111 | |
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[921] | 112 | !!---------------------------------------------------------------------------------------------- |
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| 113 | !! 1) Compute thickness and changes in each ice category |
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| 114 | !!---------------------------------------------------------------------------------------------- |
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[2715] | 115 | IF( kt == nit000 .AND. lwp) THEN |
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[921] | 116 | WRITE(numout,*) |
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| 117 | WRITE(numout,*) 'lim_itd_th_rem : Remapping the ice thickness distribution' |
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| 118 | WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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| 119 | WRITE(numout,*) ' klbnd : ', klbnd |
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| 120 | WRITE(numout,*) ' kubnd : ', kubnd |
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| 121 | ENDIF |
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[825] | 122 | |
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[2715] | 123 | zdhice(:,:,:) = 0._wp |
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[921] | 124 | DO jl = klbnd, kubnd |
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| 125 | DO jj = 1, jpj |
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| 126 | DO ji = 1, jpi |
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[5134] | 127 | rswitch = MAX( 0.0, SIGN( 1.0, a_i(ji,jj,jl) - epsi10 ) ) !0 if no ice and 1 if yes |
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[4990] | 128 | ht_i(ji,jj,jl) = v_i(ji,jj,jl) / MAX( a_i(ji,jj,jl), epsi10 ) * rswitch |
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[5407] | 129 | rswitch = MAX( 0.0, SIGN( 1.0, a_i_b(ji,jj,jl) - epsi10) ) |
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[4990] | 130 | zht_i_b(ji,jj,jl) = v_i_b(ji,jj,jl) / MAX( a_i_b(ji,jj,jl), epsi10 ) * rswitch |
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[5407] | 131 | IF( a_i(ji,jj,jl) > epsi10 ) zdhice(ji,jj,jl) = ht_i(ji,jj,jl) - zht_i_b(ji,jj,jl) ! clem: useless IF statement? |
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[921] | 132 | END DO |
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| 133 | END DO |
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| 134 | END DO |
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| 135 | |
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| 136 | !----------------------------------------------------------------------------------------------- |
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| 137 | ! 2) Compute fractional ice area in each grid cell |
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| 138 | !----------------------------------------------------------------------------------------------- |
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[2715] | 139 | at_i(:,:) = 0._wp |
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[825] | 140 | DO jl = klbnd, kubnd |
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[2715] | 141 | at_i(:,:) = at_i(:,:) + a_i(:,:,jl) |
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[825] | 142 | END DO |
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| 143 | |
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[921] | 144 | !----------------------------------------------------------------------------------------------- |
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| 145 | ! 3) Identify grid cells with ice |
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| 146 | !----------------------------------------------------------------------------------------------- |
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[825] | 147 | nbrem = 0 |
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| 148 | DO jj = 1, jpj |
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| 149 | DO ji = 1, jpi |
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[5123] | 150 | IF ( at_i(ji,jj) > epsi10 ) THEN |
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[825] | 151 | nbrem = nbrem + 1 |
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| 152 | nind_i(nbrem) = ji |
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| 153 | nind_j(nbrem) = jj |
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[3294] | 154 | zremap_flag(ji,jj) = 1 |
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[825] | 155 | ELSE |
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[3294] | 156 | zremap_flag(ji,jj) = 0 |
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[825] | 157 | ENDIF |
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[5123] | 158 | END DO |
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| 159 | END DO |
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[825] | 160 | |
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[921] | 161 | !----------------------------------------------------------------------------------------------- |
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| 162 | ! 4) Compute new category boundaries |
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| 163 | !----------------------------------------------------------------------------------------------- |
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[825] | 164 | !- 4.1 Compute category boundaries |
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[2715] | 165 | zhbnew(:,:,:) = 0._wp |
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[825] | 166 | |
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| 167 | DO jl = klbnd, kubnd - 1 |
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| 168 | DO ji = 1, nbrem |
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[4161] | 169 | ii = nind_i(ji) |
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| 170 | ij = nind_j(ji) |
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[825] | 171 | ! |
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[4688] | 172 | zhbnew(ii,ij,jl) = hi_max(jl) |
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[5407] | 173 | IF ( a_i_b(ii,ij,jl) > epsi10 .AND. a_i_b(ii,ij,jl+1) > epsi10 ) THEN |
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[825] | 174 | !interpolate between adjacent category growth rates |
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[4872] | 175 | zslope = ( zdhice(ii,ij,jl+1) - zdhice(ii,ij,jl) ) / ( zht_i_b(ii,ij,jl+1) - zht_i_b(ii,ij,jl) ) |
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| 176 | zhbnew(ii,ij,jl) = hi_max(jl) + zdhice(ii,ij,jl) + zslope * ( hi_max(jl) - zht_i_b(ii,ij,jl) ) |
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[5407] | 177 | ELSEIF( a_i_b(ii,ij,jl) > epsi10) THEN |
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[4161] | 178 | zhbnew(ii,ij,jl) = hi_max(jl) + zdhice(ii,ij,jl) |
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[5407] | 179 | ELSEIF( a_i_b(ii,ij,jl+1) > epsi10) THEN |
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[4161] | 180 | zhbnew(ii,ij,jl) = hi_max(jl) + zdhice(ii,ij,jl+1) |
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[825] | 181 | ENDIF |
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[2715] | 182 | END DO |
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[825] | 183 | |
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[921] | 184 | !- 4.2 Check that each zhbnew lies between adjacent values of ice thickness |
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[825] | 185 | DO ji = 1, nbrem |
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[4161] | 186 | ii = nind_i(ji) |
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| 187 | ij = nind_j(ji) |
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[5407] | 188 | |
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| 189 | ! clem: we do not want ht_i to be too close to either HR or HL otherwise a division by nearly 0 is possible |
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| 190 | ! in lim_itd_fitline in the case (HR-HL) = 3(Hice - HL) or = 3(HR - Hice) |
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| 191 | IF ( a_i(ii,ij,jl ) > epsi10 .AND. ht_i(ii,ij,jl ) > ( zhbnew(ii,ij,jl) - epsi10 ) ) THEN |
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[4161] | 192 | zremap_flag(ii,ij) = 0 |
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[5407] | 193 | ELSEIF( a_i(ii,ij,jl+1) > epsi10 .AND. ht_i(ii,ij,jl+1) < ( zhbnew(ii,ij,jl) + epsi10 ) ) THEN |
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[4161] | 194 | zremap_flag(ii,ij) = 0 |
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[825] | 195 | ENDIF |
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| 196 | |
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[921] | 197 | !- 4.3 Check that each zhbnew does not exceed maximal values hi_max |
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[5407] | 198 | IF( zhbnew(ii,ij,jl) < hi_max(jl-1) ) zremap_flag(ii,ij) = 0 |
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[4688] | 199 | IF( zhbnew(ii,ij,jl) > hi_max(jl+1) ) zremap_flag(ii,ij) = 0 |
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[5407] | 200 | ! clem bug: why is not the following instead? |
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| 201 | !!IF( zhbnew(ii,ij,jl) < hi_max(jl-1) ) zremap_flag(ii,ij) = 0 |
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| 202 | !!IF( zhbnew(ii,ij,jl) > hi_max(jl ) ) zremap_flag(ii,ij) = 0 |
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| 203 | |
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[4688] | 204 | END DO |
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| 205 | |
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[5123] | 206 | END DO |
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[825] | 207 | |
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[921] | 208 | !----------------------------------------------------------------------------------------------- |
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| 209 | ! 5) Identify cells where ITD is to be remapped |
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| 210 | !----------------------------------------------------------------------------------------------- |
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| 211 | nbrem = 0 |
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| 212 | DO jj = 1, jpj |
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| 213 | DO ji = 1, jpi |
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[4688] | 214 | IF( zremap_flag(ji,jj) == 1 ) THEN |
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[921] | 215 | nbrem = nbrem + 1 |
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| 216 | nind_i(nbrem) = ji |
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| 217 | nind_j(nbrem) = jj |
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| 218 | ENDIF |
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[4688] | 219 | END DO |
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| 220 | END DO |
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[825] | 221 | |
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[921] | 222 | !----------------------------------------------------------------------------------------------- |
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| 223 | ! 6) Fill arrays with lowermost / uppermost boundaries of 'new' categories |
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| 224 | !----------------------------------------------------------------------------------------------- |
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| 225 | DO jj = 1, jpj |
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| 226 | DO ji = 1, jpi |
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[5407] | 227 | zhb0(ji,jj) = hi_max(0) |
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| 228 | zhb1(ji,jj) = hi_max(1) |
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[825] | 229 | |
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[2715] | 230 | IF( a_i(ji,jj,kubnd) > epsi10 ) THEN |
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[5134] | 231 | zhbnew(ji,jj,kubnd) = MAX( hi_max(kubnd-1), 3._wp * ht_i(ji,jj,kubnd) - 2._wp * zhbnew(ji,jj,kubnd-1) ) |
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[921] | 232 | ELSE |
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[5407] | 233 | !clem bug zhbnew(ji,jj,kubnd) = hi_max(kubnd) |
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| 234 | zhbnew(ji,jj,kubnd) = hi_max(kubnd-1) ! not used anyway |
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[921] | 235 | ENDIF |
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[825] | 236 | |
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[5407] | 237 | ! clem: we do not want ht_i_b to be too close to either HR or HL otherwise a division by nearly 0 is possible |
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| 238 | ! in lim_itd_fitline in the case (HR-HL) = 3(Hice - HL) or = 3(HR - Hice) |
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| 239 | IF ( zht_i_b(ji,jj,klbnd) < ( zhb0(ji,jj) + epsi10 ) ) THEN |
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| 240 | zremap_flag(ji,jj) = 0 |
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| 241 | ELSEIF( zht_i_b(ji,jj,klbnd) > ( zhb1(ji,jj) - epsi10 ) ) THEN |
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| 242 | zremap_flag(ji,jj) = 0 |
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| 243 | ENDIF |
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| 244 | |
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[5134] | 245 | END DO |
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| 246 | END DO |
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[825] | 247 | |
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[921] | 248 | !----------------------------------------------------------------------------------------------- |
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| 249 | ! 7) Compute g(h) |
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| 250 | !----------------------------------------------------------------------------------------------- |
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| 251 | !- 7.1 g(h) for category 1 at start of time step |
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[5123] | 252 | CALL lim_itd_fitline( klbnd, zhb0, zhb1, zht_i_b(:,:,klbnd), g0(:,:,klbnd), g1(:,:,klbnd), hL(:,:,klbnd), & |
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[2715] | 253 | & hR(:,:,klbnd), zremap_flag ) |
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[825] | 254 | |
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[921] | 255 | !- 7.2 Area lost due to melting of thin ice (first category, klbnd) |
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| 256 | DO ji = 1, nbrem |
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[4161] | 257 | ii = nind_i(ji) |
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| 258 | ij = nind_j(ji) |
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[825] | 259 | |
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[5123] | 260 | IF( a_i(ii,ij,klbnd) > epsi10 ) THEN |
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[5407] | 261 | |
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[4161] | 262 | zdh0 = zdhice(ii,ij,klbnd) !decrease of ice thickness in the lower category |
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[5407] | 263 | |
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| 264 | IF( zdh0 < 0.0 ) THEN !remove area from category 1 |
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[5123] | 265 | zdh0 = MIN( -zdh0, hi_max(klbnd) ) |
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[921] | 266 | !Integrate g(1) from 0 to dh0 to estimate area melted |
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[5123] | 267 | zetamax = MIN( zdh0, hR(ii,ij,klbnd) ) - hL(ii,ij,klbnd) |
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[5407] | 268 | |
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[5123] | 269 | IF( zetamax > 0.0 ) THEN |
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[5407] | 270 | zx1 = zetamax |
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| 271 | zx2 = 0.5 * zetamax * zetamax |
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| 272 | zda0 = g1(ii,ij,klbnd) * zx2 + g0(ii,ij,klbnd) * zx1 ! ice area removed |
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| 273 | zdamax = a_i(ii,ij,klbnd) * (1.0 - ht_i(ii,ij,klbnd) / zht_i_b(ii,ij,klbnd) ) ! Constrain new thickness <= ht_i |
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| 274 | zda0 = MIN( zda0, zdamax ) ! ice area lost due to melting |
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| 275 | ! of thin ice (zdamax > 0) |
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[921] | 276 | ! Remove area, conserving volume |
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[5123] | 277 | ht_i(ii,ij,klbnd) = ht_i(ii,ij,klbnd) * a_i(ii,ij,klbnd) / ( a_i(ii,ij,klbnd) - zda0 ) |
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[4161] | 278 | a_i(ii,ij,klbnd) = a_i(ii,ij,klbnd) - zda0 |
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[5123] | 279 | v_i(ii,ij,klbnd) = a_i(ii,ij,klbnd) * ht_i(ii,ij,klbnd) ! clem-useless ? |
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| 280 | ENDIF |
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[825] | 281 | |
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[5407] | 282 | ELSE ! if ice accretion zdh0 > 0 |
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| 283 | ! zhbnew was 0, and is shifted to the right to account for thin ice growth in openwater (F0 = f1) |
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[5123] | 284 | zhbnew(ii,ij,klbnd-1) = MIN( zdh0, hi_max(klbnd) ) |
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[5407] | 285 | ENDIF |
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[825] | 286 | |
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[5407] | 287 | ENDIF |
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[825] | 288 | |
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[5134] | 289 | END DO |
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[825] | 290 | |
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[921] | 291 | !- 7.3 g(h) for each thickness category |
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| 292 | DO jl = klbnd, kubnd |
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[5123] | 293 | CALL lim_itd_fitline( jl, zhbnew(:,:,jl-1), zhbnew(:,:,jl), ht_i(:,:,jl), & |
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| 294 | & g0(:,:,jl), g1(:,:,jl), hL(:,:,jl), hR(:,:,jl), zremap_flag ) |
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[921] | 295 | END DO |
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[825] | 296 | |
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[921] | 297 | !----------------------------------------------------------------------------------------------- |
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| 298 | ! 8) Compute area and volume to be shifted across each boundary |
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| 299 | !----------------------------------------------------------------------------------------------- |
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[825] | 300 | |
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[921] | 301 | DO jl = klbnd, kubnd - 1 |
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| 302 | DO jj = 1, jpj |
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| 303 | DO ji = 1, jpi |
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| 304 | zdonor(ji,jj,jl) = 0 |
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| 305 | zdaice(ji,jj,jl) = 0.0 |
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| 306 | zdvice(ji,jj,jl) = 0.0 |
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| 307 | END DO |
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| 308 | END DO |
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[825] | 309 | |
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[921] | 310 | DO ji = 1, nbrem |
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[4161] | 311 | ii = nind_i(ji) |
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| 312 | ij = nind_j(ji) |
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[825] | 313 | |
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[5123] | 314 | IF (zhbnew(ii,ij,jl) > hi_max(jl)) THEN ! transfer from jl to jl+1 |
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[921] | 315 | ! left and right integration limits in eta space |
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[5123] | 316 | zvetamin(ji) = MAX( hi_max(jl), hL(ii,ij,jl) ) - hL(ii,ij,jl) |
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[5407] | 317 | zvetamax(ji) = MIN( zhbnew(ii,ij,jl), hR(ii,ij,jl) ) - hL(ii,ij,jl) |
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[4161] | 318 | zdonor(ii,ij,jl) = jl |
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[825] | 319 | |
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[5407] | 320 | ELSE ! zhbnew(jl) <= hi_max(jl) ; transfer from jl+1 to jl |
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[921] | 321 | ! left and right integration limits in eta space |
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| 322 | zvetamin(ji) = 0.0 |
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[5123] | 323 | zvetamax(ji) = MIN( hi_max(jl), hR(ii,ij,jl+1) ) - hL(ii,ij,jl+1) |
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[4161] | 324 | zdonor(ii,ij,jl) = jl + 1 |
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[825] | 325 | |
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[5407] | 326 | ENDIF |
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[825] | 327 | |
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[5123] | 328 | zetamax = MAX( zvetamax(ji), zvetamin(ji) ) ! no transfer if etamax < etamin |
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[921] | 329 | zetamin = zvetamin(ji) |
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[825] | 330 | |
---|
[921] | 331 | zx1 = zetamax - zetamin |
---|
[5123] | 332 | zwk1 = zetamin * zetamin |
---|
| 333 | zwk2 = zetamax * zetamax |
---|
| 334 | zx2 = 0.5 * ( zwk2 - zwk1 ) |
---|
[921] | 335 | zwk1 = zwk1 * zetamin |
---|
| 336 | zwk2 = zwk2 * zetamax |
---|
[5123] | 337 | zx3 = 1.0 / 3.0 * ( zwk2 - zwk1 ) |
---|
[4161] | 338 | nd = zdonor(ii,ij,jl) |
---|
| 339 | zdaice(ii,ij,jl) = g1(ii,ij,nd)*zx2 + g0(ii,ij,nd)*zx1 |
---|
[4688] | 340 | zdvice(ii,ij,jl) = g1(ii,ij,nd)*zx3 + g0(ii,ij,nd)*zx2 + zdaice(ii,ij,jl)*hL(ii,ij,nd) |
---|
[921] | 341 | |
---|
[5123] | 342 | END DO |
---|
[5407] | 343 | END DO |
---|
[921] | 344 | |
---|
| 345 | !!---------------------------------------------------------------------------------------------- |
---|
| 346 | !! 9) Shift ice between categories |
---|
| 347 | !!---------------------------------------------------------------------------------------------- |
---|
| 348 | CALL lim_itd_shiftice ( klbnd, kubnd, zdonor, zdaice, zdvice ) |
---|
| 349 | |
---|
| 350 | !!---------------------------------------------------------------------------------------------- |
---|
| 351 | !! 10) Make sure ht_i >= minimum ice thickness hi_min |
---|
| 352 | !!---------------------------------------------------------------------------------------------- |
---|
| 353 | |
---|
| 354 | DO ji = 1, nbrem |
---|
[4161] | 355 | ii = nind_i(ji) |
---|
| 356 | ij = nind_j(ji) |
---|
[5123] | 357 | IF ( a_i(ii,ij,1) > epsi10 .AND. ht_i(ii,ij,1) < rn_himin ) THEN |
---|
[5134] | 358 | a_i (ii,ij,1) = a_i(ii,ij,1) * ht_i(ii,ij,1) / rn_himin |
---|
[7319] | 359 | ! MV MP 2016 |
---|
[8061] | 360 | IF ( nn_pnd_scheme > 0 ) THEN |
---|
[7319] | 361 | a_ip(ii,ij,1) = a_ip(ii,ij,1) * ht_i(ii,ij,1) / rn_himin |
---|
| 362 | ENDIF |
---|
| 363 | ! END MV MP 2016 |
---|
[5123] | 364 | ht_i(ii,ij,1) = rn_himin |
---|
[921] | 365 | ENDIF |
---|
[5123] | 366 | END DO |
---|
[921] | 367 | |
---|
| 368 | !!---------------------------------------------------------------------------------------------- |
---|
| 369 | !! 11) Conservation check |
---|
| 370 | !!---------------------------------------------------------------------------------------------- |
---|
[825] | 371 | IF ( con_i ) THEN |
---|
| 372 | CALL lim_column_sum (jpl, v_i, vt_i_final) |
---|
| 373 | fieldid = ' v_i : limitd_th ' |
---|
| 374 | CALL lim_cons_check (vt_i_init, vt_i_final, 1.0e-6, fieldid) |
---|
| 375 | |
---|
| 376 | CALL lim_column_sum_energy (jpl, nlay_i, e_i, et_i_final) |
---|
| 377 | fieldid = ' e_i : limitd_th ' |
---|
| 378 | CALL lim_cons_check (et_i_init, et_i_final, 1.0e-3, fieldid) |
---|
| 379 | |
---|
| 380 | CALL lim_column_sum (jpl, v_s, vt_s_final) |
---|
| 381 | fieldid = ' v_s : limitd_th ' |
---|
| 382 | CALL lim_cons_check (vt_s_init, vt_s_final, 1.0e-6, fieldid) |
---|
| 383 | |
---|
| 384 | dummy_es(:,:,:) = e_s(:,:,1,:) |
---|
| 385 | CALL lim_column_sum (jpl, dummy_es(:,:,:) , et_s_final) |
---|
| 386 | fieldid = ' e_s : limitd_th ' |
---|
| 387 | CALL lim_cons_check (et_s_init, et_s_final, 1.0e-3, fieldid) |
---|
| 388 | ENDIF |
---|
| 389 | |
---|
[5407] | 390 | CALL wrk_dealloc( jpi,jpj, zremap_flag ) |
---|
| 391 | CALL wrk_dealloc( jpi,jpj,jpl-1, zdonor ) |
---|
[4872] | 392 | CALL wrk_dealloc( jpi,jpj,jpl, zdhice, g0, g1, hL, hR, zht_i_b, dummy_es ) |
---|
[3294] | 393 | CALL wrk_dealloc( jpi,jpj,jpl-1, zdaice, zdvice ) |
---|
| 394 | CALL wrk_dealloc( jpi,jpj,jpl+1, zhbnew, kkstart = 0 ) |
---|
| 395 | CALL wrk_dealloc( (jpi+1)*(jpj+1), zvetamin, zvetamax ) |
---|
[5407] | 396 | CALL wrk_dealloc( (jpi+1)*(jpj+1), nind_i, nind_j ) |
---|
[3294] | 397 | CALL wrk_dealloc( jpi,jpj, zhb0,zhb1,vt_i_init,vt_i_final,vt_s_init,vt_s_final,et_i_init,et_i_final,et_s_init,et_s_final ) |
---|
| 398 | |
---|
[921] | 399 | END SUBROUTINE lim_itd_th_rem |
---|
[825] | 400 | |
---|
| 401 | |
---|
[5123] | 402 | SUBROUTINE lim_itd_fitline( num_cat, HbL, Hbr, hice, g0, g1, hL, hR, zremap_flag ) |
---|
[921] | 403 | !!------------------------------------------------------------------ |
---|
| 404 | !! *** ROUTINE lim_itd_fitline *** |
---|
| 405 | !! |
---|
[2715] | 406 | !! ** Purpose : fit g(h) with a line using area, volume constraints |
---|
[921] | 407 | !! |
---|
[2715] | 408 | !! ** Method : Fit g(h) with a line, satisfying area and volume constraints. |
---|
| 409 | !! To reduce roundoff errors caused by large values of g0 and g1, |
---|
| 410 | !! we actually compute g(eta), where eta = h - hL, and hL is the |
---|
| 411 | !! left boundary. |
---|
[921] | 412 | !!------------------------------------------------------------------ |
---|
[2715] | 413 | INTEGER , INTENT(in ) :: num_cat ! category index |
---|
| 414 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: HbL, HbR ! left and right category boundaries |
---|
| 415 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: hice ! ice thickness |
---|
| 416 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: g0, g1 ! coefficients in linear equation for g(eta) |
---|
| 417 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: hL ! min value of range over which g(h) > 0 |
---|
| 418 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: hR ! max value of range over which g(h) > 0 |
---|
[3294] | 419 | INTEGER , DIMENSION(jpi,jpj), INTENT(in ) :: zremap_flag ! |
---|
[2715] | 420 | ! |
---|
[5407] | 421 | INTEGER :: ji,jj ! horizontal indices |
---|
[2715] | 422 | REAL(wp) :: zh13 ! HbL + 1/3 * (HbR - HbL) |
---|
| 423 | REAL(wp) :: zh23 ! HbL + 2/3 * (HbR - HbL) |
---|
| 424 | REAL(wp) :: zdhr ! 1 / (hR - hL) |
---|
| 425 | REAL(wp) :: zwk1, zwk2 ! temporary variables |
---|
| 426 | !!------------------------------------------------------------------ |
---|
| 427 | ! |
---|
[825] | 428 | DO jj = 1, jpj |
---|
| 429 | DO ji = 1, jpi |
---|
[2715] | 430 | ! |
---|
[4333] | 431 | IF( zremap_flag(ji,jj) == 1 .AND. a_i(ji,jj,num_cat) > epsi10 & |
---|
[5407] | 432 | & .AND. hice(ji,jj) > 0._wp ) THEN |
---|
[825] | 433 | |
---|
[921] | 434 | ! Initialize hL and hR |
---|
[825] | 435 | hL(ji,jj) = HbL(ji,jj) |
---|
| 436 | hR(ji,jj) = HbR(ji,jj) |
---|
| 437 | |
---|
[921] | 438 | ! Change hL or hR if hice falls outside central third of range |
---|
[5123] | 439 | zh13 = 1.0 / 3.0 * ( 2.0 * hL(ji,jj) + hR(ji,jj) ) |
---|
| 440 | zh23 = 1.0 / 3.0 * ( hL(ji,jj) + 2.0 * hR(ji,jj) ) |
---|
[825] | 441 | |
---|
[2715] | 442 | IF ( hice(ji,jj) < zh13 ) THEN ; hR(ji,jj) = 3._wp * hice(ji,jj) - 2._wp * hL(ji,jj) |
---|
| 443 | ELSEIF( hice(ji,jj) > zh23 ) THEN ; hL(ji,jj) = 3._wp * hice(ji,jj) - 2._wp * hR(ji,jj) |
---|
[825] | 444 | ENDIF |
---|
| 445 | |
---|
[921] | 446 | ! Compute coefficients of g(eta) = g0 + g1*eta |
---|
[2715] | 447 | zdhr = 1._wp / (hR(ji,jj) - hL(ji,jj)) |
---|
| 448 | zwk1 = 6._wp * a_i(ji,jj,num_cat) * zdhr |
---|
| 449 | zwk2 = ( hice(ji,jj) - hL(ji,jj) ) * zdhr |
---|
[5123] | 450 | g0(ji,jj) = zwk1 * ( 2._wp / 3._wp - zwk2 ) |
---|
| 451 | g1(ji,jj) = 2._wp * zdhr * zwk1 * ( zwk2 - 0.5 ) |
---|
[2715] | 452 | ! |
---|
[5407] | 453 | ELSE ! remap_flag = .false. or a_i < epsi10 |
---|
[2715] | 454 | hL(ji,jj) = 0._wp |
---|
| 455 | hR(ji,jj) = 0._wp |
---|
| 456 | g0(ji,jj) = 0._wp |
---|
| 457 | g1(ji,jj) = 0._wp |
---|
[5407] | 458 | ENDIF |
---|
[2715] | 459 | ! |
---|
| 460 | END DO |
---|
| 461 | END DO |
---|
| 462 | ! |
---|
| 463 | END SUBROUTINE lim_itd_fitline |
---|
[825] | 464 | |
---|
| 465 | |
---|
[2715] | 466 | SUBROUTINE lim_itd_shiftice( klbnd, kubnd, zdonor, zdaice, zdvice ) |
---|
[921] | 467 | !!------------------------------------------------------------------ |
---|
| 468 | !! *** ROUTINE lim_itd_shiftice *** |
---|
[2715] | 469 | !! |
---|
| 470 | !! ** Purpose : shift ice across category boundaries, conserving everything |
---|
[921] | 471 | !! ( area, volume, energy, age*vol, and mass of salt ) |
---|
| 472 | !! |
---|
| 473 | !! ** Method : |
---|
| 474 | !!------------------------------------------------------------------ |
---|
[3294] | 475 | INTEGER , INTENT(in ) :: klbnd ! Start thickness category index point |
---|
| 476 | INTEGER , INTENT(in ) :: kubnd ! End point on which the the computation is applied |
---|
[2715] | 477 | INTEGER , DIMENSION(jpi,jpj,jpl-1), INTENT(in ) :: zdonor ! donor category index |
---|
| 478 | REAL(wp), DIMENSION(jpi,jpj,jpl-1), INTENT(inout) :: zdaice ! ice area transferred across boundary |
---|
| 479 | REAL(wp), DIMENSION(jpi,jpj,jpl-1), INTENT(inout) :: zdvice ! ice volume transferred across boundary |
---|
[825] | 480 | |
---|
[2715] | 481 | INTEGER :: ji, jj, jl, jl2, jl1, jk ! dummy loop indices |
---|
[5407] | 482 | INTEGER :: ii, ij ! indices when changing from 2D-1D is done |
---|
[825] | 483 | |
---|
[3294] | 484 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zaTsfn |
---|
| 485 | REAL(wp), POINTER, DIMENSION(:,:) :: zworka ! temporary array used here |
---|
[825] | 486 | |
---|
[2715] | 487 | REAL(wp) :: zdvsnow, zdesnow ! snow volume and energy transferred |
---|
| 488 | REAL(wp) :: zdeice ! ice energy transferred |
---|
| 489 | REAL(wp) :: zdsm_vice ! ice salinity times volume transferred |
---|
| 490 | REAL(wp) :: zdo_aice ! ice age times volume transferred |
---|
| 491 | REAL(wp) :: zdaTsf ! aicen*Tsfcn transferred |
---|
[7319] | 492 | ! MV MP 2016 |
---|
| 493 | REAL(wp) :: zdapnd ! pond fraction transferred |
---|
| 494 | REAL(wp) :: zdvpnd ! pond volume transferred |
---|
| 495 | ! END MV MP 2016 |
---|
[825] | 496 | |
---|
[3294] | 497 | INTEGER, POINTER, DIMENSION(:) :: nind_i, nind_j ! compressed indices for i/j directions |
---|
[825] | 498 | |
---|
[5407] | 499 | INTEGER :: nbrem ! number of cells with ice to transfer |
---|
[2715] | 500 | !!------------------------------------------------------------------ |
---|
[825] | 501 | |
---|
[3294] | 502 | CALL wrk_alloc( jpi,jpj,jpl, zaTsfn ) |
---|
| 503 | CALL wrk_alloc( jpi,jpj, zworka ) |
---|
[5407] | 504 | CALL wrk_alloc( (jpi+1)*(jpj+1), nind_i, nind_j ) |
---|
[3294] | 505 | |
---|
[921] | 506 | !---------------------------------------------------------------------------------------------- |
---|
| 507 | ! 1) Define a variable equal to a_i*T_su |
---|
| 508 | !---------------------------------------------------------------------------------------------- |
---|
[825] | 509 | |
---|
| 510 | DO jl = klbnd, kubnd |
---|
[5123] | 511 | zaTsfn(:,:,jl) = a_i(:,:,jl) * t_su(:,:,jl) |
---|
[2715] | 512 | END DO |
---|
[825] | 513 | |
---|
[921] | 514 | !------------------------------------------------------------------------------- |
---|
[5407] | 515 | ! 2) Transfer volume and energy between categories |
---|
[921] | 516 | !------------------------------------------------------------------------------- |
---|
[825] | 517 | |
---|
| 518 | DO jl = klbnd, kubnd - 1 |
---|
| 519 | nbrem = 0 |
---|
| 520 | DO jj = 1, jpj |
---|
| 521 | DO ji = 1, jpi |
---|
[5123] | 522 | IF (zdaice(ji,jj,jl) > 0.0 ) THEN ! daice(n) can be < puny |
---|
[825] | 523 | nbrem = nbrem + 1 |
---|
| 524 | nind_i(nbrem) = ji |
---|
| 525 | nind_j(nbrem) = jj |
---|
[5123] | 526 | ENDIF |
---|
[825] | 527 | END DO |
---|
| 528 | END DO |
---|
| 529 | |
---|
| 530 | DO ji = 1, nbrem |
---|
[4161] | 531 | ii = nind_i(ji) |
---|
| 532 | ij = nind_j(ji) |
---|
[825] | 533 | |
---|
[4161] | 534 | jl1 = zdonor(ii,ij,jl) |
---|
[5407] | 535 | rswitch = MAX( 0._wp , SIGN( 1._wp , v_i(ii,ij,jl1) - epsi10 ) ) |
---|
| 536 | zworka(ii,ij) = zdvice(ii,ij,jl) / MAX( v_i(ii,ij,jl1), epsi10 ) * rswitch |
---|
[2715] | 537 | IF( jl1 == jl) THEN ; jl2 = jl1+1 |
---|
[5123] | 538 | ELSE ; jl2 = jl |
---|
[825] | 539 | ENDIF |
---|
| 540 | |
---|
| 541 | !-------------- |
---|
| 542 | ! Ice areas |
---|
| 543 | !-------------- |
---|
[4161] | 544 | a_i(ii,ij,jl1) = a_i(ii,ij,jl1) - zdaice(ii,ij,jl) |
---|
| 545 | a_i(ii,ij,jl2) = a_i(ii,ij,jl2) + zdaice(ii,ij,jl) |
---|
[825] | 546 | |
---|
| 547 | !-------------- |
---|
| 548 | ! Ice volumes |
---|
| 549 | !-------------- |
---|
[4161] | 550 | v_i(ii,ij,jl1) = v_i(ii,ij,jl1) - zdvice(ii,ij,jl) |
---|
| 551 | v_i(ii,ij,jl2) = v_i(ii,ij,jl2) + zdvice(ii,ij,jl) |
---|
[825] | 552 | |
---|
| 553 | !-------------- |
---|
| 554 | ! Snow volumes |
---|
| 555 | !-------------- |
---|
[4688] | 556 | zdvsnow = v_s(ii,ij,jl1) * zworka(ii,ij) |
---|
[4161] | 557 | v_s(ii,ij,jl1) = v_s(ii,ij,jl1) - zdvsnow |
---|
| 558 | v_s(ii,ij,jl2) = v_s(ii,ij,jl2) + zdvsnow |
---|
[825] | 559 | |
---|
| 560 | !-------------------- |
---|
| 561 | ! Snow heat content |
---|
| 562 | !-------------------- |
---|
[4688] | 563 | zdesnow = e_s(ii,ij,1,jl1) * zworka(ii,ij) |
---|
[4161] | 564 | e_s(ii,ij,1,jl1) = e_s(ii,ij,1,jl1) - zdesnow |
---|
| 565 | e_s(ii,ij,1,jl2) = e_s(ii,ij,1,jl2) + zdesnow |
---|
[825] | 566 | |
---|
| 567 | !-------------- |
---|
| 568 | ! Ice age |
---|
| 569 | !-------------- |
---|
[4688] | 570 | zdo_aice = oa_i(ii,ij,jl1) * zdaice(ii,ij,jl) |
---|
[4161] | 571 | oa_i(ii,ij,jl1) = oa_i(ii,ij,jl1) - zdo_aice |
---|
| 572 | oa_i(ii,ij,jl2) = oa_i(ii,ij,jl2) + zdo_aice |
---|
[825] | 573 | |
---|
| 574 | !-------------- |
---|
| 575 | ! Ice salinity |
---|
| 576 | !-------------- |
---|
[4688] | 577 | zdsm_vice = smv_i(ii,ij,jl1) * zworka(ii,ij) |
---|
[4161] | 578 | smv_i(ii,ij,jl1) = smv_i(ii,ij,jl1) - zdsm_vice |
---|
| 579 | smv_i(ii,ij,jl2) = smv_i(ii,ij,jl2) + zdsm_vice |
---|
[825] | 580 | |
---|
| 581 | !--------------------- |
---|
| 582 | ! Surface temperature |
---|
| 583 | !--------------------- |
---|
[4688] | 584 | zdaTsf = t_su(ii,ij,jl1) * zdaice(ii,ij,jl) |
---|
[4161] | 585 | zaTsfn(ii,ij,jl1) = zaTsfn(ii,ij,jl1) - zdaTsf |
---|
| 586 | zaTsfn(ii,ij,jl2) = zaTsfn(ii,ij,jl2) + zdaTsf |
---|
[825] | 587 | |
---|
[7319] | 588 | ! MV MP 2016 |
---|
[8061] | 589 | IF ( nn_pnd_scheme > 0 ) THEN |
---|
[7319] | 590 | !--------------------- |
---|
| 591 | ! Pond fraction |
---|
| 592 | !--------------------- |
---|
| 593 | zdapnd = a_ip(ii,ij,jl1) * zdaice(ii,ij,jl) |
---|
| 594 | a_ip(ii,ij,jl1) = a_ip(ii,ij,jl1) - zdapnd |
---|
| 595 | a_ip(ii,ij,jl2) = a_ip(ii,ij,jl2) + zdapnd |
---|
| 596 | |
---|
| 597 | !--------------------- |
---|
| 598 | ! Pond volume |
---|
| 599 | !--------------------- |
---|
| 600 | zdvpnd = v_ip(ii,ij,jl1) * zdaice(ii,ij,jl) |
---|
| 601 | v_ip(ii,ij,jl1) = v_ip(ii,ij,jl1) - zdvpnd |
---|
| 602 | v_ip(ii,ij,jl2) = v_ip(ii,ij,jl2) + zdvpnd |
---|
| 603 | |
---|
| 604 | ENDIF |
---|
| 605 | ! END MV MP 2016 |
---|
| 606 | |
---|
[5123] | 607 | END DO |
---|
[825] | 608 | |
---|
| 609 | !------------------ |
---|
| 610 | ! Ice heat content |
---|
| 611 | !------------------ |
---|
| 612 | |
---|
| 613 | DO jk = 1, nlay_i |
---|
| 614 | DO ji = 1, nbrem |
---|
[4161] | 615 | ii = nind_i(ji) |
---|
| 616 | ij = nind_j(ji) |
---|
[825] | 617 | |
---|
[4161] | 618 | jl1 = zdonor(ii,ij,jl) |
---|
[5123] | 619 | IF (jl1 == jl) THEN |
---|
[825] | 620 | jl2 = jl+1 |
---|
| 621 | ELSE ! n1 = n+1 |
---|
| 622 | jl2 = jl |
---|
| 623 | ENDIF |
---|
| 624 | |
---|
[4161] | 625 | zdeice = e_i(ii,ij,jk,jl1) * zworka(ii,ij) |
---|
| 626 | e_i(ii,ij,jk,jl1) = e_i(ii,ij,jk,jl1) - zdeice |
---|
| 627 | e_i(ii,ij,jk,jl2) = e_i(ii,ij,jk,jl2) + zdeice |
---|
[5123] | 628 | END DO |
---|
| 629 | END DO |
---|
[825] | 630 | |
---|
| 631 | END DO ! boundaries, 1 to ncat-1 |
---|
| 632 | |
---|
| 633 | !----------------------------------------------------------------- |
---|
| 634 | ! Update ice thickness and temperature |
---|
| 635 | !----------------------------------------------------------------- |
---|
| 636 | |
---|
| 637 | DO jl = klbnd, kubnd |
---|
| 638 | DO jj = 1, jpj |
---|
[921] | 639 | DO ji = 1, jpi |
---|
[2715] | 640 | IF ( a_i(ji,jj,jl) > epsi10 ) THEN |
---|
| 641 | ht_i(ji,jj,jl) = v_i (ji,jj,jl) / a_i(ji,jj,jl) |
---|
[921] | 642 | t_su(ji,jj,jl) = zaTsfn(ji,jj,jl) / a_i(ji,jj,jl) |
---|
| 643 | ELSE |
---|
[2715] | 644 | ht_i(ji,jj,jl) = 0._wp |
---|
[5123] | 645 | t_su(ji,jj,jl) = rt0 |
---|
[921] | 646 | ENDIF |
---|
[5123] | 647 | END DO |
---|
| 648 | END DO |
---|
| 649 | END DO |
---|
[2715] | 650 | ! |
---|
[3294] | 651 | CALL wrk_dealloc( jpi,jpj,jpl, zaTsfn ) |
---|
| 652 | CALL wrk_dealloc( jpi,jpj, zworka ) |
---|
[5407] | 653 | CALL wrk_dealloc( (jpi+1)*(jpj+1), nind_i, nind_j ) |
---|
[3294] | 654 | ! |
---|
[921] | 655 | END SUBROUTINE lim_itd_shiftice |
---|
[2715] | 656 | |
---|
[825] | 657 | |
---|
[4869] | 658 | SUBROUTINE lim_itd_th_reb( klbnd, kubnd ) |
---|
[921] | 659 | !!------------------------------------------------------------------ |
---|
| 660 | !! *** ROUTINE lim_itd_th_reb *** |
---|
[2715] | 661 | !! |
---|
[921] | 662 | !! ** Purpose : rebin - rebins thicknesses into defined categories |
---|
| 663 | !! |
---|
| 664 | !! ** Method : |
---|
| 665 | !!------------------------------------------------------------------ |
---|
[2715] | 666 | INTEGER , INTENT (in) :: klbnd ! Start thickness category index point |
---|
| 667 | INTEGER , INTENT (in) :: kubnd ! End point on which the the computation is applied |
---|
| 668 | ! |
---|
| 669 | INTEGER :: ji,jj, jl ! dummy loop indices |
---|
| 670 | INTEGER :: zshiftflag ! = .true. if ice must be shifted |
---|
[921] | 671 | CHARACTER (len = 15) :: fieldid |
---|
[825] | 672 | |
---|
[3294] | 673 | INTEGER , POINTER, DIMENSION(:,:,:) :: zdonor ! donor category index |
---|
| 674 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zdaice, zdvice ! ice area and volume transferred |
---|
[825] | 675 | |
---|
[3294] | 676 | REAL(wp), POINTER, DIMENSION(:,:) :: vt_i_init, vt_i_final ! ice volume summed over categories |
---|
| 677 | REAL(wp), POINTER, DIMENSION(:,:) :: vt_s_init, vt_s_final ! snow volume summed over categories |
---|
[2715] | 678 | !!------------------------------------------------------------------ |
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[3294] | 679 | |
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| 680 | CALL wrk_alloc( jpi,jpj,jpl, zdonor ) ! interger |
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| 681 | CALL wrk_alloc( jpi,jpj,jpl, zdaice, zdvice ) |
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| 682 | CALL wrk_alloc( jpi,jpj, vt_i_init, vt_i_final, vt_s_init, vt_s_final ) |
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[2715] | 683 | ! |
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| 684 | IF( con_i ) THEN ! conservation check |
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[834] | 685 | CALL lim_column_sum (jpl, v_i, vt_i_init) |
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| 686 | CALL lim_column_sum (jpl, v_s, vt_s_init) |
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| 687 | ENDIF |
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[825] | 688 | |
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[921] | 689 | ! |
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| 690 | !------------------------------------------------------------------------------ |
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| 691 | ! 1) Compute ice thickness. |
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| 692 | !------------------------------------------------------------------------------ |
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[825] | 693 | DO jl = klbnd, kubnd |
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| 694 | DO jj = 1, jpj |
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[921] | 695 | DO ji = 1, jpi |
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[5134] | 696 | rswitch = MAX( 0._wp , SIGN( 1._wp, a_i(ji,jj,jl) - epsi10 ) ) |
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| 697 | ht_i(ji,jj,jl) = v_i (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi10 ) * rswitch |
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[2715] | 698 | END DO |
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| 699 | END DO |
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| 700 | END DO |
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[825] | 701 | |
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[921] | 702 | !------------------------------------------------------------------------------ |
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[5134] | 703 | ! 2) If a category thickness is not in bounds, shift the |
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[921] | 704 | ! entire area, volume, and energy to the neighboring category |
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| 705 | !------------------------------------------------------------------------------ |
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[825] | 706 | !------------------------- |
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| 707 | ! Initialize shift arrays |
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| 708 | !------------------------- |
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| 709 | DO jl = klbnd, kubnd |
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[2715] | 710 | zdonor(:,:,jl) = 0 |
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| 711 | zdaice(:,:,jl) = 0._wp |
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| 712 | zdvice(:,:,jl) = 0._wp |
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[825] | 713 | END DO |
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| 714 | |
---|
| 715 | !------------------------- |
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| 716 | ! Move thin categories up |
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| 717 | !------------------------- |
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| 718 | |
---|
| 719 | DO jl = klbnd, kubnd - 1 ! loop over category boundaries |
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| 720 | |
---|
[921] | 721 | !--------------------------------------- |
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| 722 | ! identify thicknesses that are too big |
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| 723 | !--------------------------------------- |
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[869] | 724 | zshiftflag = 0 |
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[825] | 725 | |
---|
| 726 | DO jj = 1, jpj |
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| 727 | DO ji = 1, jpi |
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[2715] | 728 | IF( a_i(ji,jj,jl) > epsi10 .AND. ht_i(ji,jj,jl) > hi_max(jl) ) THEN |
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[869] | 729 | zshiftflag = 1 |
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[825] | 730 | zdonor(ji,jj,jl) = jl |
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[4161] | 731 | ! begin TECLIM change |
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[4293] | 732 | !zdaice(ji,jj,jl) = a_i(ji,jj,jl) * 0.5_wp |
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| 733 | !zdvice(ji,jj,jl) = v_i(ji,jj,jl)-zdaice(ji,jj,jl)*(hi_max(jl)+hi_max(jl-1)) * 0.5_wp |
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[4161] | 734 | ! end TECLIM change |
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[4293] | 735 | ! clem: how much of a_i you send in cat sup is somewhat arbitrary |
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[5134] | 736 | zdaice(ji,jj,jl) = a_i(ji,jj,jl) * ( ht_i(ji,jj,jl) - hi_max(jl) + epsi20 ) / ht_i(ji,jj,jl) |
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| 737 | zdvice(ji,jj,jl) = v_i(ji,jj,jl) - ( a_i(ji,jj,jl) - zdaice(ji,jj,jl) ) * ( hi_max(jl) - epsi20 ) |
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[825] | 738 | ENDIF |
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[5123] | 739 | END DO |
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| 740 | END DO |
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[2715] | 741 | IF(lk_mpp) CALL mpp_max( zshiftflag ) |
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[825] | 742 | |
---|
[2715] | 743 | IF( zshiftflag == 1 ) THEN ! Shift ice between categories |
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| 744 | CALL lim_itd_shiftice( klbnd, kubnd, zdonor, zdaice, zdvice ) |
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[921] | 745 | ! Reset shift parameters |
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[2715] | 746 | zdonor(:,:,jl) = 0 |
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| 747 | zdaice(:,:,jl) = 0._wp |
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| 748 | zdvice(:,:,jl) = 0._wp |
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| 749 | ENDIF |
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| 750 | ! |
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[5134] | 751 | END DO |
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[825] | 752 | |
---|
| 753 | !---------------------------- |
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| 754 | ! Move thick categories down |
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| 755 | !---------------------------- |
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| 756 | |
---|
| 757 | DO jl = kubnd - 1, 1, -1 ! loop over category boundaries |
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| 758 | |
---|
[921] | 759 | !----------------------------------------- |
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| 760 | ! Identify thicknesses that are too small |
---|
| 761 | !----------------------------------------- |
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[869] | 762 | zshiftflag = 0 |
---|
[825] | 763 | |
---|
[4688] | 764 | DO jj = 1, jpj |
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| 765 | DO ji = 1, jpi |
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| 766 | IF( a_i(ji,jj,jl+1) > epsi10 .AND. ht_i(ji,jj,jl+1) <= hi_max(jl) ) THEN |
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| 767 | ! |
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| 768 | zshiftflag = 1 |
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| 769 | zdonor(ji,jj,jl) = jl + 1 |
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| 770 | zdaice(ji,jj,jl) = a_i(ji,jj,jl+1) |
---|
| 771 | zdvice(ji,jj,jl) = v_i(ji,jj,jl+1) |
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| 772 | ENDIF |
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[5123] | 773 | END DO |
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| 774 | END DO |
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[4688] | 775 | |
---|
| 776 | IF(lk_mpp) CALL mpp_max( zshiftflag ) |
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| 777 | |
---|
| 778 | IF( zshiftflag == 1 ) THEN ! Shift ice between categories |
---|
| 779 | CALL lim_itd_shiftice( klbnd, kubnd, zdonor, zdaice, zdvice ) |
---|
| 780 | ! Reset shift parameters |
---|
| 781 | zdonor(:,:,jl) = 0 |
---|
| 782 | zdaice(:,:,jl) = 0._wp |
---|
| 783 | zdvice(:,:,jl) = 0._wp |
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| 784 | ENDIF |
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| 785 | |
---|
[5123] | 786 | END DO |
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[825] | 787 | |
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[921] | 788 | !------------------------------------------------------------------------------ |
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[5134] | 789 | ! 3) Conservation check |
---|
[921] | 790 | !------------------------------------------------------------------------------ |
---|
[825] | 791 | |
---|
[2715] | 792 | IF( con_i ) THEN |
---|
[921] | 793 | CALL lim_column_sum (jpl, v_i, vt_i_final) |
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| 794 | fieldid = ' v_i : limitd_reb ' |
---|
| 795 | CALL lim_cons_check (vt_i_init, vt_i_final, 1.0e-6, fieldid) |
---|
[825] | 796 | |
---|
[921] | 797 | CALL lim_column_sum (jpl, v_s, vt_s_final) |
---|
| 798 | fieldid = ' v_s : limitd_reb ' |
---|
| 799 | CALL lim_cons_check (vt_s_init, vt_s_final, 1.0e-6, fieldid) |
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| 800 | ENDIF |
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[2715] | 801 | ! |
---|
[5407] | 802 | CALL wrk_dealloc( jpi,jpj,jpl, zdonor ) |
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[3294] | 803 | CALL wrk_dealloc( jpi,jpj,jpl, zdaice, zdvice ) |
---|
| 804 | CALL wrk_dealloc( jpi,jpj, vt_i_init, vt_i_final, vt_s_init, vt_s_final ) |
---|
| 805 | |
---|
[921] | 806 | END SUBROUTINE lim_itd_th_reb |
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[825] | 807 | |
---|
| 808 | #else |
---|
[2715] | 809 | !!---------------------------------------------------------------------- |
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| 810 | !! Default option Dummy module NO LIM sea-ice model |
---|
| 811 | !!---------------------------------------------------------------------- |
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[825] | 812 | CONTAINS |
---|
| 813 | SUBROUTINE lim_itd_th_rem |
---|
| 814 | END SUBROUTINE lim_itd_th_rem |
---|
| 815 | SUBROUTINE lim_itd_fitline |
---|
| 816 | END SUBROUTINE lim_itd_fitline |
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| 817 | SUBROUTINE lim_itd_shiftice |
---|
| 818 | END SUBROUTINE lim_itd_shiftice |
---|
| 819 | SUBROUTINE lim_itd_th_reb |
---|
| 820 | END SUBROUTINE lim_itd_th_reb |
---|
| 821 | #endif |
---|
[2715] | 822 | !!====================================================================== |
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[921] | 823 | END MODULE limitd_th |
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