[825] | 1 | MODULE limitd_th |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE limitd_th *** |
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| 4 | !! Thermodynamics of ice thickness distribution |
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| 5 | !! computation of changes in g(h) |
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| 6 | !!====================================================================== |
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[2715] | 7 | !! History : - ! (W. H. Lipscomb and E.C. Hunke) CICE (c) original code |
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| 8 | !! 3.0 ! 2005-12 (M. Vancoppenolle) adaptation to LIM-3 |
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| 9 | !! - ! 2006-06 (M. Vancoppenolle) adaptation to include salt, age and types |
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| 10 | !! - ! 2007-04 (M. Vancoppenolle) Mass conservation checked |
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| 11 | !!---------------------------------------------------------------------- |
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[2528] | 12 | #if defined key_lim3 |
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[825] | 13 | !!---------------------------------------------------------------------- |
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[2528] | 14 | !! 'key_lim3' : LIM3 sea-ice model |
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| 15 | !!---------------------------------------------------------------------- |
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[2715] | 16 | !! lim_itd_th : thermodynamics of ice thickness distribution |
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| 17 | !! lim_itd_th_rem : |
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| 18 | !! lim_itd_th_reb : |
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| 19 | !! lim_itd_fitline : |
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| 20 | !! lim_itd_shiftice : |
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[2528] | 21 | !!---------------------------------------------------------------------- |
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[2715] | 22 | USE dom_ice ! LIM-3 domain |
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[825] | 23 | USE par_oce ! ocean parameters |
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[2715] | 24 | USE dom_oce ! ocean domain |
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[825] | 25 | USE phycst ! physical constants (ocean directory) |
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[2715] | 26 | USE thd_ice ! LIM-3 thermodynamic variables |
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| 27 | USE ice ! LIM-3 variables |
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| 28 | USE par_ice ! LIM-3 parameters |
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| 29 | USE limthd_lac ! LIM-3 lateral accretion |
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| 30 | USE limvar ! LIM-3 variables |
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| 31 | USE limcons ! LIM-3 conservation |
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[863] | 32 | USE prtctl ! Print control |
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[2715] | 33 | USE in_out_manager ! I/O manager |
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| 34 | USE lib_mpp ! MPP library |
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[3294] | 35 | USE wrk_nemo ! work arrays |
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[3558] | 36 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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[921] | 37 | |
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[825] | 38 | IMPLICIT NONE |
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| 39 | PRIVATE |
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| 40 | |
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[3294] | 41 | PUBLIC lim_itd_th ! called by ice_stp |
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[2715] | 42 | PUBLIC lim_itd_th_rem |
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| 43 | PUBLIC lim_itd_th_reb |
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| 44 | PUBLIC lim_itd_fitline |
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| 45 | PUBLIC lim_itd_shiftice |
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[825] | 46 | |
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[2715] | 47 | REAL(wp) :: epsi20 = 1e-20_wp ! constant values |
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| 48 | REAL(wp) :: epsi13 = 1e-13_wp ! |
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| 49 | REAL(wp) :: epsi10 = 1e-10_wp ! |
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[825] | 50 | |
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| 51 | !!---------------------------------------------------------------------- |
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[2715] | 52 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2010) |
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[1156] | 53 | !! $Id$ |
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[2715] | 54 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[825] | 55 | !!---------------------------------------------------------------------- |
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| 56 | CONTAINS |
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| 57 | |
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[921] | 58 | SUBROUTINE lim_itd_th( kt ) |
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| 59 | !!------------------------------------------------------------------ |
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| 60 | !! *** ROUTINE lim_itd_th *** |
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| 61 | !! |
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[2715] | 62 | !! ** Purpose : computes the thermodynamics of ice thickness distribution |
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[921] | 63 | !! |
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[2715] | 64 | !! ** Method : |
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[921] | 65 | !!------------------------------------------------------------------ |
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[2715] | 66 | INTEGER, INTENT(in) :: kt ! time step index |
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| 67 | ! |
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| 68 | INTEGER :: jl, ja, jm, jbnd1, jbnd2 ! ice types dummy loop index |
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[825] | 69 | |
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[2715] | 70 | !!------------------------------------------------------------------ |
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[825] | 71 | |
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[921] | 72 | IF( kt == nit000 .AND. lwp ) THEN |
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| 73 | WRITE(numout,*) |
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| 74 | WRITE(numout,*) 'lim_itd_th : Thermodynamics of the ice thickness distribution' |
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| 75 | WRITE(numout,*) '~~~~~~~~~~~' |
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| 76 | ENDIF |
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[825] | 77 | |
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[921] | 78 | !------------------------------------------------------------------------------| |
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| 79 | ! 1) Transport of ice between thickness categories. | |
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| 80 | !------------------------------------------------------------------------------| |
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[825] | 81 | ! Given thermodynamic growth rates, transport ice between |
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| 82 | ! thickness categories. |
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| 83 | DO jm = 1, jpm |
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| 84 | jbnd1 = ice_cat_bounds(jm,1) |
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| 85 | jbnd2 = ice_cat_bounds(jm,2) |
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[2715] | 86 | IF( ice_ncat_types(jm) > 1 ) CALL lim_itd_th_rem( jbnd1, jbnd2, jm, kt ) |
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[825] | 87 | END DO |
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[2715] | 88 | ! |
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| 89 | CALL lim_var_glo2eqv ! only for info |
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[825] | 90 | CALL lim_var_agg(1) |
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| 91 | |
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[921] | 92 | !------------------------------------------------------------------------------| |
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| 93 | ! 3) Add frazil ice growing in leads. |
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| 94 | !------------------------------------------------------------------------------| |
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[825] | 95 | |
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| 96 | CALL lim_thd_lac |
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[2715] | 97 | CALL lim_var_glo2eqv ! only for info |
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[825] | 98 | |
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[921] | 99 | !---------------------------------------------------------------------------------------- |
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| 100 | ! 4) Computation of trend terms and get back to old values |
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| 101 | !---------------------------------------------------------------------------------------- |
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[825] | 102 | |
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| 103 | !- Trend terms |
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| 104 | d_a_i_thd (:,:,:) = a_i(:,:,:) - old_a_i(:,:,:) |
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| 105 | d_v_s_thd (:,:,:) = v_s(:,:,:) - old_v_s(:,:,:) |
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| 106 | d_v_i_thd (:,:,:) = v_i(:,:,:) - old_v_i(:,:,:) |
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| 107 | d_e_s_thd(:,:,:,:) = e_s(:,:,:,:) - old_e_s(:,:,:,:) |
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| 108 | d_e_i_thd(:,:,:,:) = e_i(:,:,:,:) - old_e_i(:,:,:,:) |
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| 109 | |
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[2715] | 110 | d_smv_i_thd(:,:,:) = 0._wp |
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| 111 | IF( num_sal == 2 .OR. num_sal == 4 ) d_smv_i_thd(:,:,:) = smv_i(:,:,:) - old_smv_i(:,:,:) |
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[825] | 112 | |
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[863] | 113 | IF(ln_ctl) THEN ! Control print |
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[867] | 114 | CALL prt_ctl_info(' ') |
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| 115 | CALL prt_ctl_info(' - Cell values : ') |
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| 116 | CALL prt_ctl_info(' ~~~~~~~~~~~~~ ') |
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[863] | 117 | CALL prt_ctl(tab2d_1=area , clinfo1=' lim_itd_th : cell area :') |
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| 118 | CALL prt_ctl(tab2d_1=at_i , clinfo1=' lim_itd_th : at_i :') |
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| 119 | CALL prt_ctl(tab2d_1=vt_i , clinfo1=' lim_itd_th : vt_i :') |
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| 120 | CALL prt_ctl(tab2d_1=vt_s , clinfo1=' lim_itd_th : vt_s :') |
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| 121 | DO jl = 1, jpl |
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[867] | 122 | CALL prt_ctl_info(' ') |
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[863] | 123 | CALL prt_ctl_info(' - Category : ', ivar1=jl) |
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| 124 | CALL prt_ctl_info(' ~~~~~~~~~~') |
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| 125 | CALL prt_ctl(tab2d_1=a_i (:,:,jl) , clinfo1= ' lim_itd_th : a_i : ') |
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| 126 | CALL prt_ctl(tab2d_1=ht_i (:,:,jl) , clinfo1= ' lim_itd_th : ht_i : ') |
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| 127 | CALL prt_ctl(tab2d_1=ht_s (:,:,jl) , clinfo1= ' lim_itd_th : ht_s : ') |
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| 128 | CALL prt_ctl(tab2d_1=v_i (:,:,jl) , clinfo1= ' lim_itd_th : v_i : ') |
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| 129 | CALL prt_ctl(tab2d_1=v_s (:,:,jl) , clinfo1= ' lim_itd_th : v_s : ') |
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| 130 | CALL prt_ctl(tab2d_1=e_s (:,:,1,jl) , clinfo1= ' lim_itd_th : e_s : ') |
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| 131 | CALL prt_ctl(tab2d_1=t_su (:,:,jl) , clinfo1= ' lim_itd_th : t_su : ') |
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| 132 | CALL prt_ctl(tab2d_1=t_s (:,:,1,jl) , clinfo1= ' lim_itd_th : t_snow : ') |
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| 133 | CALL prt_ctl(tab2d_1=sm_i (:,:,jl) , clinfo1= ' lim_itd_th : sm_i : ') |
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| 134 | CALL prt_ctl(tab2d_1=smv_i (:,:,jl) , clinfo1= ' lim_itd_th : smv_i : ') |
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| 135 | DO ja = 1, nlay_i |
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[867] | 136 | CALL prt_ctl_info(' ') |
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[863] | 137 | CALL prt_ctl_info(' - Layer : ', ivar1=ja) |
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| 138 | CALL prt_ctl_info(' ~~~~~~~') |
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| 139 | CALL prt_ctl(tab2d_1=t_i(:,:,ja,jl) , clinfo1= ' lim_itd_th : t_i : ') |
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| 140 | CALL prt_ctl(tab2d_1=e_i(:,:,ja,jl) , clinfo1= ' lim_itd_th : e_i : ') |
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| 141 | END DO |
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| 142 | END DO |
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| 143 | ENDIF |
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[921] | 144 | |
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[867] | 145 | !- Recover Old values |
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[2715] | 146 | a_i(:,:,:) = old_a_i (:,:,:) |
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| 147 | v_s(:,:,:) = old_v_s (:,:,:) |
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| 148 | v_i(:,:,:) = old_v_i (:,:,:) |
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| 149 | e_s(:,:,:,:) = old_e_s (:,:,:,:) |
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| 150 | e_i(:,:,:,:) = old_e_i (:,:,:,:) |
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| 151 | ! |
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| 152 | IF( num_sal == 2 .OR. num_sal == 4 ) smv_i(:,:,:) = old_smv_i (:,:,:) |
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| 153 | ! |
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[921] | 154 | END SUBROUTINE lim_itd_th |
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| 155 | ! |
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[867] | 156 | |
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[921] | 157 | SUBROUTINE lim_itd_th_rem( klbnd, kubnd, ntyp, kt ) |
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| 158 | !!------------------------------------------------------------------ |
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| 159 | !! *** ROUTINE lim_itd_th_rem *** |
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| 160 | !! |
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[2715] | 161 | !! ** Purpose : computes the redistribution of ice thickness |
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| 162 | !! after thermodynamic growth of ice thickness |
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| 163 | !! |
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[921] | 164 | !! ** Method : Linear remapping |
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| 165 | !! |
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[2715] | 166 | !! References : W.H. Lipscomb, JGR 2001 |
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[921] | 167 | !!------------------------------------------------------------------ |
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[2715] | 168 | INTEGER , INTENT (in) :: klbnd ! Start thickness category index point |
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| 169 | INTEGER , INTENT (in) :: kubnd ! End point on which the the computation is applied |
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| 170 | INTEGER , INTENT (in) :: ntyp ! Number of the type used |
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| 171 | INTEGER , INTENT (in) :: kt ! Ocean time step |
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| 172 | ! |
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| 173 | INTEGER :: ji, jj, jl ! dummy loop index |
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| 174 | INTEGER :: zji, zjj, nd ! local integer |
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| 175 | REAL(wp) :: zx1, zwk1, zdh0, zetamin, zdamax ! local scalars |
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| 176 | REAL(wp) :: zx2, zwk2, zda0, zetamax, zhimin ! - - |
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| 177 | REAL(wp) :: zx3, zareamin, zindb ! - - |
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| 178 | CHARACTER (len = 15) :: fieldid |
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[825] | 179 | |
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[3294] | 180 | INTEGER , POINTER, DIMENSION(:,:,:) :: zdonor ! donor category index |
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[825] | 181 | |
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[3294] | 182 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zdhice ! ice thickness increment |
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| 183 | REAL(wp), POINTER, DIMENSION(:,:,:) :: g0 ! coefficients for fitting the line of the ITD |
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| 184 | REAL(wp), POINTER, DIMENSION(:,:,:) :: g1 ! coefficients for fitting the line of the ITD |
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| 185 | REAL(wp), POINTER, DIMENSION(:,:,:) :: hL ! left boundary for the ITD for each thickness |
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| 186 | REAL(wp), POINTER, DIMENSION(:,:,:) :: hR ! left boundary for the ITD for each thickness |
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| 187 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zht_i_o ! old ice thickness |
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| 188 | REAL(wp), POINTER, DIMENSION(:,:,:) :: dummy_es |
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| 189 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zdaice, zdvice ! local increment of ice area and volume |
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| 190 | REAL(wp), POINTER, DIMENSION(:) :: zvetamin, zvetamax ! maximum values for etas |
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| 191 | INTEGER , POINTER, DIMENSION(:) :: nind_i, nind_j ! compressed indices for i/j directions |
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| 192 | INTEGER :: nbrem ! number of cells with ice to transfer |
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| 193 | REAL(wp) :: zslope ! used to compute local thermodynamic "speeds" |
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| 194 | REAL(wp), POINTER, DIMENSION(:,:) :: zhb0, zhb1 ! category boundaries for thinnes categories |
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| 195 | REAL(wp), POINTER, DIMENSION(:,:) :: vt_i_init, vt_i_final ! ice volume summed over categories |
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| 196 | REAL(wp), POINTER, DIMENSION(:,:) :: vt_s_init, vt_s_final ! snow volume summed over categories |
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| 197 | REAL(wp), POINTER, DIMENSION(:,:) :: et_i_init, et_i_final ! ice energy summed over categories |
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| 198 | REAL(wp), POINTER, DIMENSION(:,:) :: et_s_init, et_s_final ! snow energy summed over categories |
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| 199 | INTEGER , POINTER, DIMENSION(:,:) :: zremap_flag ! compute remapping or not ???? |
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| 200 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zhbnew ! new boundaries of ice categories |
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| 201 | !!------------------------------------------------------------------ |
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[825] | 202 | |
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[3294] | 203 | CALL wrk_alloc( jpi,jpj, zremap_flag ) ! integer |
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| 204 | CALL wrk_alloc( jpi,jpj,jpl-1, zdonor ) ! integer |
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| 205 | CALL wrk_alloc( jpi,jpj,jpl, zdhice, g0, g1, hL, hR, zht_i_o, dummy_es ) |
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| 206 | CALL wrk_alloc( jpi,jpj,jpl-1, zdaice, zdvice ) |
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| 207 | CALL wrk_alloc( jpi,jpj,jpl+1, zhbnew, kkstart = 0 ) |
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| 208 | CALL wrk_alloc( (jpi+1)*(jpj+1), zvetamin, zvetamax ) |
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| 209 | CALL wrk_alloc( (jpi+1)*(jpj+1), nind_i, nind_j ) ! integer |
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| 210 | 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] | 211 | |
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[2715] | 212 | zhimin = 0.1 !minimum ice thickness tolerated by the model |
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| 213 | zareamin = epsi10 !minimum area in thickness categories tolerated by the conceptors of the model |
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[921] | 214 | |
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| 215 | !!---------------------------------------------------------------------------------------------- |
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| 216 | !! 0) Conservation checkand changes in each ice category |
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| 217 | !!---------------------------------------------------------------------------------------------- |
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[2715] | 218 | IF( con_i ) THEN |
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[825] | 219 | CALL lim_column_sum (jpl, v_i, vt_i_init) |
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| 220 | CALL lim_column_sum (jpl, v_s, vt_s_init) |
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| 221 | CALL lim_column_sum_energy (jpl, nlay_i, e_i, et_i_init) |
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| 222 | dummy_es(:,:,:) = e_s(:,:,1,:) |
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| 223 | CALL lim_column_sum (jpl, dummy_es(:,:,:) , et_s_init) |
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| 224 | ENDIF |
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| 225 | |
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[921] | 226 | !!---------------------------------------------------------------------------------------------- |
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| 227 | !! 1) Compute thickness and changes in each ice category |
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| 228 | !!---------------------------------------------------------------------------------------------- |
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[2715] | 229 | IF( kt == nit000 .AND. lwp) THEN |
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[921] | 230 | WRITE(numout,*) |
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| 231 | WRITE(numout,*) 'lim_itd_th_rem : Remapping the ice thickness distribution' |
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| 232 | WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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| 233 | WRITE(numout,*) ' klbnd : ', klbnd |
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| 234 | WRITE(numout,*) ' kubnd : ', kubnd |
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| 235 | WRITE(numout,*) ' ntyp : ', ntyp |
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| 236 | ENDIF |
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[825] | 237 | |
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[2715] | 238 | zdhice(:,:,:) = 0._wp |
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[921] | 239 | DO jl = klbnd, kubnd |
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| 240 | DO jj = 1, jpj |
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| 241 | DO ji = 1, jpi |
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| 242 | zindb = 1.0-MAX(0.0,SIGN(1.0,-a_i(ji,jj,jl))) !0 if no ice and 1 if yes |
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[2715] | 243 | ht_i(ji,jj,jl) = v_i(ji,jj,jl) / MAX(a_i(ji,jj,jl),epsi10) * zindb |
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[921] | 244 | zindb = 1.0-MAX(0.0,SIGN(1.0,-old_a_i(ji,jj,jl))) !0 if no ice and 1 if yes |
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[2715] | 245 | zht_i_o(ji,jj,jl) = old_v_i(ji,jj,jl) / MAX(old_a_i(ji,jj,jl),epsi10) * zindb |
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| 246 | IF( a_i(ji,jj,jl) > 1e-6 ) zdhice(ji,jj,jl) = ht_i(ji,jj,jl) - zht_i_o(ji,jj,jl) |
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[921] | 247 | END DO |
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| 248 | END DO |
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| 249 | END DO |
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| 250 | |
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| 251 | !----------------------------------------------------------------------------------------------- |
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| 252 | ! 2) Compute fractional ice area in each grid cell |
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| 253 | !----------------------------------------------------------------------------------------------- |
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[2715] | 254 | at_i(:,:) = 0._wp |
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[825] | 255 | DO jl = klbnd, kubnd |
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[2715] | 256 | at_i(:,:) = at_i(:,:) + a_i(:,:,jl) |
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[825] | 257 | END DO |
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| 258 | |
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[921] | 259 | !----------------------------------------------------------------------------------------------- |
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| 260 | ! 3) Identify grid cells with ice |
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| 261 | !----------------------------------------------------------------------------------------------- |
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[825] | 262 | nbrem = 0 |
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| 263 | DO jj = 1, jpj |
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| 264 | DO ji = 1, jpi |
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| 265 | IF ( at_i(ji,jj) .gt. zareamin ) THEN |
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| 266 | nbrem = nbrem + 1 |
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| 267 | nind_i(nbrem) = ji |
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| 268 | nind_j(nbrem) = jj |
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[3294] | 269 | zremap_flag(ji,jj) = 1 |
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[825] | 270 | ELSE |
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[3294] | 271 | zremap_flag(ji,jj) = 0 |
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[825] | 272 | ENDIF |
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| 273 | END DO !ji |
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| 274 | END DO !jj |
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| 275 | |
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[921] | 276 | !----------------------------------------------------------------------------------------------- |
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| 277 | ! 4) Compute new category boundaries |
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| 278 | !----------------------------------------------------------------------------------------------- |
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[825] | 279 | !- 4.1 Compute category boundaries |
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[862] | 280 | ! Tricky trick see limitd_me.F90 |
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[844] | 281 | ! will be soon removed, CT |
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| 282 | ! hi_max(kubnd) = 999.99 |
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[2715] | 283 | zhbnew(:,:,:) = 0._wp |
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[825] | 284 | |
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| 285 | DO jl = klbnd, kubnd - 1 |
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| 286 | DO ji = 1, nbrem |
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| 287 | zji = nind_i(ji) |
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| 288 | zjj = nind_j(ji) |
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| 289 | ! |
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[2715] | 290 | IF ( ( zht_i_o(zji,zjj,jl) .GT.epsi10 ) .AND. & |
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| 291 | ( zht_i_o(zji,zjj,jl+1).GT.epsi10 ) ) THEN |
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[825] | 292 | !interpolate between adjacent category growth rates |
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| 293 | zslope = ( zdhice(zji,zjj,jl+1) - zdhice(zji,zjj,jl) ) / & |
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[921] | 294 | ( zht_i_o (zji,zjj,jl+1) - zht_i_o (zji,zjj,jl) ) |
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[825] | 295 | zhbnew(zji,zjj,jl) = hi_max(jl) + zdhice(zji,zjj,jl) + & |
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[921] | 296 | zslope * ( hi_max(jl) - zht_i_o(zji,zjj,jl) ) |
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[2715] | 297 | ELSEIF (zht_i_o(zji,zjj,jl).gt.epsi10) THEN |
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[825] | 298 | zhbnew(zji,zjj,jl) = hi_max(jl) + zdhice(zji,zjj,jl) |
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[2715] | 299 | ELSEIF (zht_i_o(zji,zjj,jl+1).gt.epsi10) THEN |
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[825] | 300 | zhbnew(zji,zjj,jl) = hi_max(jl) + zdhice(zji,zjj,jl+1) |
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| 301 | ELSE |
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| 302 | zhbnew(zji,zjj,jl) = hi_max(jl) |
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| 303 | ENDIF |
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[2715] | 304 | END DO |
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[825] | 305 | |
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[921] | 306 | !- 4.2 Check that each zhbnew lies between adjacent values of ice thickness |
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[825] | 307 | DO ji = 1, nbrem |
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| 308 | ! jl, ji |
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| 309 | zji = nind_i(ji) |
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| 310 | zjj = nind_j(ji) |
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| 311 | ! jl, ji |
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[2715] | 312 | IF ( ( a_i(zji,zjj,jl) .GT.epsi10) .AND. & |
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[921] | 313 | ( ht_i(zji,zjj,jl).GE. zhbnew(zji,zjj,jl) ) & |
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[825] | 314 | ) THEN |
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[3294] | 315 | zremap_flag(zji,zjj) = 0 |
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[2715] | 316 | ELSEIF ( ( a_i(zji,zjj,jl+1) .GT. epsi10 ) .AND. & |
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[921] | 317 | ( ht_i(zji,zjj,jl+1).LE. zhbnew(zji,zjj,jl) ) & |
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| 318 | ) THEN |
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[3294] | 319 | zremap_flag(zji,zjj) = 0 |
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[825] | 320 | ENDIF |
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| 321 | |
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[921] | 322 | !- 4.3 Check that each zhbnew does not exceed maximal values hi_max |
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[825] | 323 | ! jl, ji |
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| 324 | IF (zhbnew(zji,zjj,jl).gt.hi_max(jl+1)) THEN |
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[3294] | 325 | zremap_flag(zji,zjj) = 0 |
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[825] | 326 | ENDIF |
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| 327 | ! jl, ji |
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| 328 | IF (zhbnew(zji,zjj,jl).lt.hi_max(jl-1)) THEN |
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[3294] | 329 | zremap_flag(zji,zjj) = 0 |
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[825] | 330 | ENDIF |
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| 331 | ! jl, ji |
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| 332 | END DO !ji |
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| 333 | ! ji |
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| 334 | END DO !jl |
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| 335 | |
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[921] | 336 | !----------------------------------------------------------------------------------------------- |
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| 337 | ! 5) Identify cells where ITD is to be remapped |
---|
| 338 | !----------------------------------------------------------------------------------------------- |
---|
| 339 | nbrem = 0 |
---|
| 340 | DO jj = 1, jpj |
---|
| 341 | DO ji = 1, jpi |
---|
[3294] | 342 | IF ( zremap_flag(ji,jj) == 1 ) THEN |
---|
[921] | 343 | nbrem = nbrem + 1 |
---|
| 344 | nind_i(nbrem) = ji |
---|
| 345 | nind_j(nbrem) = jj |
---|
| 346 | ENDIF |
---|
| 347 | END DO !ji |
---|
| 348 | END DO !jj |
---|
[825] | 349 | |
---|
[921] | 350 | !----------------------------------------------------------------------------------------------- |
---|
| 351 | ! 6) Fill arrays with lowermost / uppermost boundaries of 'new' categories |
---|
| 352 | !----------------------------------------------------------------------------------------------- |
---|
| 353 | DO jj = 1, jpj |
---|
| 354 | DO ji = 1, jpi |
---|
| 355 | zhb0(ji,jj) = hi_max_typ(0,ntyp) ! 0eme |
---|
| 356 | zhb1(ji,jj) = hi_max_typ(1,ntyp) ! 1er |
---|
[825] | 357 | |
---|
[2715] | 358 | zhbnew(ji,jj,klbnd-1) = 0._wp |
---|
[825] | 359 | |
---|
[2715] | 360 | IF( a_i(ji,jj,kubnd) > epsi10 ) THEN |
---|
| 361 | zhbnew(ji,jj,kubnd) = 3._wp * ht_i(ji,jj,kubnd) - 2._wp * zhbnew(ji,jj,kubnd-1) |
---|
[921] | 362 | ELSE |
---|
| 363 | zhbnew(ji,jj,kubnd) = hi_max(kubnd) |
---|
| 364 | ENDIF |
---|
[825] | 365 | |
---|
[2715] | 366 | IF( zhbnew(ji,jj,kubnd) < hi_max(kubnd-1) ) zhbnew(ji,jj,kubnd) = hi_max(kubnd-1) |
---|
[825] | 367 | |
---|
[921] | 368 | END DO !jj |
---|
| 369 | END DO !jj |
---|
[825] | 370 | |
---|
[921] | 371 | !----------------------------------------------------------------------------------------------- |
---|
| 372 | ! 7) Compute g(h) |
---|
| 373 | !----------------------------------------------------------------------------------------------- |
---|
| 374 | !- 7.1 g(h) for category 1 at start of time step |
---|
[2715] | 375 | CALL lim_itd_fitline( klbnd, zhb0, zhb1, zht_i_o(:,:,klbnd), & |
---|
| 376 | & g0(:,:,klbnd), g1(:,:,klbnd), hL(:,:,klbnd), & |
---|
| 377 | & hR(:,:,klbnd), zremap_flag ) |
---|
[825] | 378 | |
---|
[921] | 379 | !- 7.2 Area lost due to melting of thin ice (first category, klbnd) |
---|
| 380 | DO ji = 1, nbrem |
---|
| 381 | zji = nind_i(ji) |
---|
| 382 | zjj = nind_j(ji) |
---|
[825] | 383 | |
---|
[921] | 384 | !ji |
---|
[2715] | 385 | IF (a_i(zji,zjj,klbnd) .gt. epsi10) THEN |
---|
[921] | 386 | zdh0 = zdhice(zji,zjj,klbnd) !decrease of ice thickness in the lower category |
---|
[2715] | 387 | ! ji, a_i > epsi10 |
---|
[921] | 388 | IF (zdh0 .lt. 0.0) THEN !remove area from category 1 |
---|
[2715] | 389 | ! ji, a_i > epsi10; zdh0 < 0 |
---|
[921] | 390 | zdh0 = MIN(-zdh0,hi_max(klbnd)) |
---|
[825] | 391 | |
---|
[921] | 392 | !Integrate g(1) from 0 to dh0 to estimate area melted |
---|
| 393 | zetamax = MIN(zdh0,hR(zji,zjj,klbnd)) - hL(zji,zjj,klbnd) |
---|
| 394 | IF (zetamax.gt.0.0) THEN |
---|
| 395 | zx1 = zetamax |
---|
| 396 | zx2 = 0.5 * zetamax*zetamax |
---|
| 397 | zda0 = g1(zji,zjj,klbnd) * zx2 + g0(zji,zjj,klbnd) * zx1 !ice area removed |
---|
| 398 | ! Constrain new thickness <= ht_i |
---|
| 399 | zdamax = a_i(zji,zjj,klbnd) * & |
---|
| 400 | (1.0 - ht_i(zji,zjj,klbnd)/zht_i_o(zji,zjj,klbnd)) ! zdamax > 0 |
---|
| 401 | !ice area lost due to melting of thin ice |
---|
| 402 | zda0 = MIN(zda0, zdamax) |
---|
[825] | 403 | |
---|
[921] | 404 | ! Remove area, conserving volume |
---|
| 405 | ht_i(zji,zjj,klbnd) = ht_i(zji,zjj,klbnd) & |
---|
| 406 | * a_i(zji,zjj,klbnd) / ( a_i(zji,zjj,klbnd) - zda0 ) |
---|
| 407 | a_i(zji,zjj,klbnd) = a_i(zji,zjj,klbnd) - zda0 |
---|
| 408 | v_i(zji,zjj,klbnd) = a_i(zji,zjj,klbnd)*ht_i(zji,zjj,klbnd) |
---|
| 409 | ENDIF ! zetamax > 0 |
---|
[2715] | 410 | ! ji, a_i > epsi10 |
---|
[825] | 411 | |
---|
[921] | 412 | ELSE ! if ice accretion |
---|
[2715] | 413 | ! ji, a_i > epsi10; zdh0 > 0 |
---|
[921] | 414 | IF ( ntyp .EQ. 1 ) zhbnew(zji,zjj,klbnd-1) = MIN(zdh0,hi_max(klbnd)) |
---|
| 415 | ! zhbnew was 0, and is shifted to the right to account for thin ice |
---|
| 416 | ! growth in openwater (F0 = f1) |
---|
| 417 | IF ( ntyp .NE. 1 ) zhbnew(zji,zjj,0) = 0 |
---|
| 418 | ! in other types there is |
---|
| 419 | ! no open water growth (F0 = 0) |
---|
| 420 | ENDIF ! zdh0 |
---|
[825] | 421 | |
---|
[2715] | 422 | ! a_i > epsi10 |
---|
| 423 | ENDIF ! a_i > epsi10 |
---|
[825] | 424 | |
---|
[921] | 425 | END DO ! ji |
---|
[825] | 426 | |
---|
[921] | 427 | !- 7.3 g(h) for each thickness category |
---|
| 428 | DO jl = klbnd, kubnd |
---|
| 429 | CALL lim_itd_fitline(jl, zhbnew(:,:,jl-1), zhbnew(:,:,jl), ht_i(:,:,jl), & |
---|
| 430 | g0(:,:,jl), g1(:,:,jl), hL(:,:,jl), hR(:,:,jl), & |
---|
| 431 | zremap_flag) |
---|
| 432 | END DO |
---|
[825] | 433 | |
---|
[921] | 434 | !----------------------------------------------------------------------------------------------- |
---|
| 435 | ! 8) Compute area and volume to be shifted across each boundary |
---|
| 436 | !----------------------------------------------------------------------------------------------- |
---|
[825] | 437 | |
---|
[921] | 438 | DO jl = klbnd, kubnd - 1 |
---|
| 439 | DO jj = 1, jpj |
---|
| 440 | DO ji = 1, jpi |
---|
| 441 | zdonor(ji,jj,jl) = 0 |
---|
| 442 | zdaice(ji,jj,jl) = 0.0 |
---|
| 443 | zdvice(ji,jj,jl) = 0.0 |
---|
| 444 | END DO |
---|
| 445 | END DO |
---|
[825] | 446 | |
---|
[921] | 447 | DO ji = 1, nbrem |
---|
| 448 | zji = nind_i(ji) |
---|
| 449 | zjj = nind_j(ji) |
---|
[825] | 450 | |
---|
[921] | 451 | IF (zhbnew(zji,zjj,jl) .gt. hi_max(jl)) THEN ! transfer from jl to jl+1 |
---|
[825] | 452 | |
---|
[921] | 453 | ! left and right integration limits in eta space |
---|
| 454 | zvetamin(ji) = MAX(hi_max(jl), hL(zji,zjj,jl)) - hL(zji,zjj,jl) |
---|
| 455 | zvetamax(ji) = MIN(zhbnew(zji,zjj,jl), hR(zji,zjj,jl)) - hL(zji,zjj,jl) |
---|
| 456 | zdonor(zji,zjj,jl) = jl |
---|
[825] | 457 | |
---|
[921] | 458 | ELSE ! zhbnew(jl) <= hi_max(jl) ; transfer from jl+1 to jl |
---|
[825] | 459 | |
---|
[921] | 460 | ! left and right integration limits in eta space |
---|
| 461 | zvetamin(ji) = 0.0 |
---|
| 462 | zvetamax(ji) = MIN(hi_max(jl), hR(zji,zjj,jl+1)) - hL(zji,zjj,jl+1) |
---|
| 463 | zdonor(zji,zjj,jl) = jl + 1 |
---|
[825] | 464 | |
---|
[921] | 465 | ENDIF ! zhbnew(jl) > hi_max(jl) |
---|
[825] | 466 | |
---|
[921] | 467 | zetamax = MAX(zvetamax(ji), zvetamin(ji)) ! no transfer if etamax < etamin |
---|
| 468 | zetamin = zvetamin(ji) |
---|
[825] | 469 | |
---|
[921] | 470 | zx1 = zetamax - zetamin |
---|
| 471 | zwk1 = zetamin*zetamin |
---|
| 472 | zwk2 = zetamax*zetamax |
---|
| 473 | zx2 = 0.5 * (zwk2 - zwk1) |
---|
| 474 | zwk1 = zwk1 * zetamin |
---|
| 475 | zwk2 = zwk2 * zetamax |
---|
| 476 | zx3 = 1.0/3.0 * (zwk2 - zwk1) |
---|
| 477 | nd = zdonor(zji,zjj,jl) |
---|
| 478 | zdaice(zji,zjj,jl) = g1(zji,zjj,nd)*zx2 + g0(zji,zjj,nd)*zx1 |
---|
| 479 | zdvice(zji,zjj,jl) = g1(zji,zjj,nd)*zx3 + g0(zji,zjj,nd)*zx2 + & |
---|
| 480 | zdaice(zji,zjj,jl)*hL(zji,zjj,nd) |
---|
| 481 | |
---|
| 482 | END DO ! ji |
---|
| 483 | END DO ! jl klbnd -> kubnd - 1 |
---|
| 484 | |
---|
| 485 | !!---------------------------------------------------------------------------------------------- |
---|
| 486 | !! 9) Shift ice between categories |
---|
| 487 | !!---------------------------------------------------------------------------------------------- |
---|
| 488 | CALL lim_itd_shiftice ( klbnd, kubnd, zdonor, zdaice, zdvice ) |
---|
| 489 | |
---|
| 490 | !!---------------------------------------------------------------------------------------------- |
---|
| 491 | !! 10) Make sure ht_i >= minimum ice thickness hi_min |
---|
| 492 | !!---------------------------------------------------------------------------------------------- |
---|
| 493 | |
---|
| 494 | DO ji = 1, nbrem |
---|
| 495 | zji = nind_i(ji) |
---|
| 496 | zjj = nind_j(ji) |
---|
| 497 | IF ( ( zhimin .GT. 0.0 ) .AND. & |
---|
[2715] | 498 | ( ( a_i(zji,zjj,1) .GT. epsi10 ) .AND. ( ht_i(zji,zjj,1) .LT. zhimin ) ) & |
---|
[921] | 499 | ) THEN |
---|
| 500 | a_i(zji,zjj,1) = a_i(zji,zjj,1) * ht_i(zji,zjj,1) / zhimin |
---|
| 501 | ht_i(zji,zjj,1) = zhimin |
---|
| 502 | v_i(zji,zjj,1) = a_i(zji,zjj,1)*ht_i(zji,zjj,1) |
---|
| 503 | ENDIF |
---|
| 504 | END DO !ji |
---|
| 505 | |
---|
| 506 | !!---------------------------------------------------------------------------------------------- |
---|
| 507 | !! 11) Conservation check |
---|
| 508 | !!---------------------------------------------------------------------------------------------- |
---|
[825] | 509 | IF ( con_i ) THEN |
---|
| 510 | CALL lim_column_sum (jpl, v_i, vt_i_final) |
---|
| 511 | fieldid = ' v_i : limitd_th ' |
---|
| 512 | CALL lim_cons_check (vt_i_init, vt_i_final, 1.0e-6, fieldid) |
---|
| 513 | |
---|
| 514 | CALL lim_column_sum_energy (jpl, nlay_i, e_i, et_i_final) |
---|
| 515 | fieldid = ' e_i : limitd_th ' |
---|
| 516 | CALL lim_cons_check (et_i_init, et_i_final, 1.0e-3, fieldid) |
---|
| 517 | |
---|
| 518 | CALL lim_column_sum (jpl, v_s, vt_s_final) |
---|
| 519 | fieldid = ' v_s : limitd_th ' |
---|
| 520 | CALL lim_cons_check (vt_s_init, vt_s_final, 1.0e-6, fieldid) |
---|
| 521 | |
---|
| 522 | dummy_es(:,:,:) = e_s(:,:,1,:) |
---|
| 523 | CALL lim_column_sum (jpl, dummy_es(:,:,:) , et_s_final) |
---|
| 524 | fieldid = ' e_s : limitd_th ' |
---|
| 525 | CALL lim_cons_check (et_s_init, et_s_final, 1.0e-3, fieldid) |
---|
| 526 | ENDIF |
---|
| 527 | |
---|
[3294] | 528 | CALL wrk_dealloc( jpi,jpj, zremap_flag ) ! integer |
---|
| 529 | CALL wrk_dealloc( jpi,jpj,jpl-1, zdonor ) ! integer |
---|
| 530 | CALL wrk_dealloc( jpi,jpj,jpl, zdhice, g0, g1, hL, hR, zht_i_o, dummy_es ) |
---|
| 531 | CALL wrk_dealloc( jpi,jpj,jpl-1, zdaice, zdvice ) |
---|
| 532 | CALL wrk_dealloc( jpi,jpj,jpl+1, zhbnew, kkstart = 0 ) |
---|
| 533 | CALL wrk_dealloc( (jpi+1)*(jpj+1), zvetamin, zvetamax ) |
---|
| 534 | CALL wrk_dealloc( (jpi+1)*(jpj+1), nind_i, nind_j ) ! integer |
---|
| 535 | 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 ) |
---|
| 536 | |
---|
[921] | 537 | END SUBROUTINE lim_itd_th_rem |
---|
[825] | 538 | |
---|
| 539 | |
---|
[2715] | 540 | SUBROUTINE lim_itd_fitline( num_cat, HbL, Hbr, hice, & |
---|
| 541 | & g0, g1, hL, hR, zremap_flag ) |
---|
[921] | 542 | !!------------------------------------------------------------------ |
---|
| 543 | !! *** ROUTINE lim_itd_fitline *** |
---|
| 544 | !! |
---|
[2715] | 545 | !! ** Purpose : fit g(h) with a line using area, volume constraints |
---|
[921] | 546 | !! |
---|
[2715] | 547 | !! ** Method : Fit g(h) with a line, satisfying area and volume constraints. |
---|
| 548 | !! To reduce roundoff errors caused by large values of g0 and g1, |
---|
| 549 | !! we actually compute g(eta), where eta = h - hL, and hL is the |
---|
| 550 | !! left boundary. |
---|
[921] | 551 | !!------------------------------------------------------------------ |
---|
[2715] | 552 | INTEGER , INTENT(in ) :: num_cat ! category index |
---|
| 553 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: HbL, HbR ! left and right category boundaries |
---|
| 554 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: hice ! ice thickness |
---|
| 555 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: g0, g1 ! coefficients in linear equation for g(eta) |
---|
| 556 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: hL ! min value of range over which g(h) > 0 |
---|
| 557 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: hR ! max value of range over which g(h) > 0 |
---|
[3294] | 558 | INTEGER , DIMENSION(jpi,jpj), INTENT(in ) :: zremap_flag ! |
---|
[2715] | 559 | ! |
---|
| 560 | INTEGER :: ji,jj ! horizontal indices |
---|
| 561 | REAL(wp) :: zh13 ! HbL + 1/3 * (HbR - HbL) |
---|
| 562 | REAL(wp) :: zh23 ! HbL + 2/3 * (HbR - HbL) |
---|
| 563 | REAL(wp) :: zdhr ! 1 / (hR - hL) |
---|
| 564 | REAL(wp) :: zwk1, zwk2 ! temporary variables |
---|
| 565 | REAL(wp) :: zacrith ! critical minimum concentration in an ice category |
---|
| 566 | !!------------------------------------------------------------------ |
---|
| 567 | ! |
---|
[825] | 568 | zacrith = 1.0e-6 |
---|
[2715] | 569 | ! |
---|
[825] | 570 | DO jj = 1, jpj |
---|
| 571 | DO ji = 1, jpi |
---|
[2715] | 572 | ! |
---|
[3294] | 573 | IF( zremap_flag(ji,jj) == 1 .AND. a_i(ji,jj,num_cat) > zacrith & |
---|
| 574 | & .AND. hice(ji,jj) > 0._wp ) THEN |
---|
[825] | 575 | |
---|
[921] | 576 | ! Initialize hL and hR |
---|
| 577 | |
---|
[825] | 578 | hL(ji,jj) = HbL(ji,jj) |
---|
| 579 | hR(ji,jj) = HbR(ji,jj) |
---|
| 580 | |
---|
[921] | 581 | ! Change hL or hR if hice falls outside central third of range |
---|
[825] | 582 | |
---|
| 583 | zh13 = 1.0/3.0 * (2.0*hL(ji,jj) + hR(ji,jj)) |
---|
| 584 | zh23 = 1.0/3.0 * (hL(ji,jj) + 2.0*hR(ji,jj)) |
---|
| 585 | |
---|
[2715] | 586 | IF ( hice(ji,jj) < zh13 ) THEN ; hR(ji,jj) = 3._wp * hice(ji,jj) - 2._wp * hL(ji,jj) |
---|
| 587 | ELSEIF( hice(ji,jj) > zh23 ) THEN ; hL(ji,jj) = 3._wp * hice(ji,jj) - 2._wp * hR(ji,jj) |
---|
[825] | 588 | ENDIF |
---|
| 589 | |
---|
[921] | 590 | ! Compute coefficients of g(eta) = g0 + g1*eta |
---|
| 591 | |
---|
[2715] | 592 | zdhr = 1._wp / (hR(ji,jj) - hL(ji,jj)) |
---|
| 593 | zwk1 = 6._wp * a_i(ji,jj,num_cat) * zdhr |
---|
| 594 | zwk2 = ( hice(ji,jj) - hL(ji,jj) ) * zdhr |
---|
| 595 | g0(ji,jj) = zwk1 * ( 2._wp/3._wp - zwk2 ) |
---|
| 596 | g1(ji,jj) = 2._wp * zdhr * zwk1 * (zwk2 - 0.5) |
---|
| 597 | ! |
---|
| 598 | ELSE ! remap_flag = .false. or a_i < epsi10 |
---|
| 599 | hL(ji,jj) = 0._wp |
---|
| 600 | hR(ji,jj) = 0._wp |
---|
| 601 | g0(ji,jj) = 0._wp |
---|
| 602 | g1(ji,jj) = 0._wp |
---|
| 603 | ENDIF ! a_i > epsi10 |
---|
| 604 | ! |
---|
| 605 | END DO |
---|
| 606 | END DO |
---|
| 607 | ! |
---|
| 608 | END SUBROUTINE lim_itd_fitline |
---|
[825] | 609 | |
---|
| 610 | |
---|
[2715] | 611 | SUBROUTINE lim_itd_shiftice( klbnd, kubnd, zdonor, zdaice, zdvice ) |
---|
[921] | 612 | !!------------------------------------------------------------------ |
---|
| 613 | !! *** ROUTINE lim_itd_shiftice *** |
---|
[2715] | 614 | !! |
---|
| 615 | !! ** Purpose : shift ice across category boundaries, conserving everything |
---|
[921] | 616 | !! ( area, volume, energy, age*vol, and mass of salt ) |
---|
| 617 | !! |
---|
| 618 | !! ** Method : |
---|
| 619 | !!------------------------------------------------------------------ |
---|
[3294] | 620 | INTEGER , INTENT(in ) :: klbnd ! Start thickness category index point |
---|
| 621 | INTEGER , INTENT(in ) :: kubnd ! End point on which the the computation is applied |
---|
[2715] | 622 | INTEGER , DIMENSION(jpi,jpj,jpl-1), INTENT(in ) :: zdonor ! donor category index |
---|
| 623 | REAL(wp), DIMENSION(jpi,jpj,jpl-1), INTENT(inout) :: zdaice ! ice area transferred across boundary |
---|
| 624 | REAL(wp), DIMENSION(jpi,jpj,jpl-1), INTENT(inout) :: zdvice ! ice volume transferred across boundary |
---|
[825] | 625 | |
---|
[2715] | 626 | INTEGER :: ji, jj, jl, jl2, jl1, jk ! dummy loop indices |
---|
| 627 | INTEGER :: zji, zjj ! indices when changing from 2D-1D is done |
---|
[825] | 628 | |
---|
[3294] | 629 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zaTsfn |
---|
| 630 | REAL(wp), POINTER, DIMENSION(:,:) :: zworka ! temporary array used here |
---|
[825] | 631 | |
---|
[2715] | 632 | REAL(wp) :: zdvsnow, zdesnow ! snow volume and energy transferred |
---|
| 633 | REAL(wp) :: zdeice ! ice energy transferred |
---|
| 634 | REAL(wp) :: zdsm_vice ! ice salinity times volume transferred |
---|
| 635 | REAL(wp) :: zdo_aice ! ice age times volume transferred |
---|
| 636 | REAL(wp) :: zdaTsf ! aicen*Tsfcn transferred |
---|
| 637 | REAL(wp) :: zindsn ! snow or not |
---|
| 638 | REAL(wp) :: zindb ! ice or not |
---|
[825] | 639 | |
---|
[3294] | 640 | INTEGER, POINTER, DIMENSION(:) :: nind_i, nind_j ! compressed indices for i/j directions |
---|
[825] | 641 | |
---|
[2715] | 642 | INTEGER :: nbrem ! number of cells with ice to transfer |
---|
[825] | 643 | |
---|
[2715] | 644 | LOGICAL :: zdaice_negative ! true if daice < -puny |
---|
| 645 | LOGICAL :: zdvice_negative ! true if dvice < -puny |
---|
| 646 | LOGICAL :: zdaice_greater_aicen ! true if daice > aicen |
---|
| 647 | LOGICAL :: zdvice_greater_vicen ! true if dvice > vicen |
---|
| 648 | !!------------------------------------------------------------------ |
---|
[825] | 649 | |
---|
[3294] | 650 | CALL wrk_alloc( jpi,jpj,jpl, zaTsfn ) |
---|
| 651 | CALL wrk_alloc( jpi,jpj, zworka ) |
---|
| 652 | CALL wrk_alloc( (jpi+1)*(jpj+1), nind_i, nind_j ) ! integer |
---|
| 653 | |
---|
[921] | 654 | !---------------------------------------------------------------------------------------------- |
---|
| 655 | ! 1) Define a variable equal to a_i*T_su |
---|
| 656 | !---------------------------------------------------------------------------------------------- |
---|
[825] | 657 | |
---|
| 658 | DO jl = klbnd, kubnd |
---|
[2715] | 659 | zaTsfn(:,:,jl) = a_i(:,:,jl)*t_su(:,:,jl) |
---|
| 660 | END DO |
---|
[825] | 661 | |
---|
[921] | 662 | !---------------------------------------------------------------------------------------------- |
---|
| 663 | ! 2) Check for daice or dvice out of range, allowing for roundoff error |
---|
| 664 | !---------------------------------------------------------------------------------------------- |
---|
[825] | 665 | ! Note: zdaice < 0 or zdvice < 0 usually happens when category jl |
---|
| 666 | ! has a small area, with h(n) very close to a boundary. Then |
---|
| 667 | ! the coefficients of g(h) are large, and the computed daice and |
---|
| 668 | ! dvice can be in error. If this happens, it is best to transfer |
---|
| 669 | ! either the entire category or nothing at all, depending on which |
---|
| 670 | ! side of the boundary hice(n) lies. |
---|
| 671 | !----------------------------------------------------------------- |
---|
| 672 | DO jl = klbnd, kubnd-1 |
---|
| 673 | |
---|
| 674 | zdaice_negative = .false. |
---|
| 675 | zdvice_negative = .false. |
---|
| 676 | zdaice_greater_aicen = .false. |
---|
| 677 | zdvice_greater_vicen = .false. |
---|
| 678 | |
---|
| 679 | DO jj = 1, jpj |
---|
| 680 | DO ji = 1, jpi |
---|
| 681 | |
---|
[921] | 682 | IF (zdonor(ji,jj,jl) .GT. 0) THEN |
---|
| 683 | jl1 = zdonor(ji,jj,jl) |
---|
[825] | 684 | |
---|
[921] | 685 | IF (zdaice(ji,jj,jl) .LT. 0.0) THEN |
---|
[2715] | 686 | IF (zdaice(ji,jj,jl) .GT. -epsi10) THEN |
---|
[921] | 687 | IF ( ( jl1.EQ.jl .AND. ht_i(ji,jj,jl1) .GT. hi_max(jl) ) & |
---|
| 688 | .OR. & |
---|
| 689 | ( jl1.EQ.jl+1 .AND. ht_i(ji,jj,jl1) .LE. hi_max(jl) ) & |
---|
| 690 | ) THEN |
---|
| 691 | zdaice(ji,jj,jl) = a_i(ji,jj,jl1) ! shift entire category |
---|
| 692 | zdvice(ji,jj,jl) = v_i(ji,jj,jl1) |
---|
| 693 | ELSE |
---|
| 694 | zdaice(ji,jj,jl) = 0.0 ! shift no ice |
---|
| 695 | zdvice(ji,jj,jl) = 0.0 |
---|
| 696 | ENDIF |
---|
[825] | 697 | ELSE |
---|
[921] | 698 | zdaice_negative = .true. |
---|
[825] | 699 | ENDIF |
---|
| 700 | ENDIF |
---|
| 701 | |
---|
[921] | 702 | IF (zdvice(ji,jj,jl) .LT. 0.0) THEN |
---|
[2715] | 703 | IF (zdvice(ji,jj,jl) .GT. -epsi10 ) THEN |
---|
[921] | 704 | IF ( ( jl1.EQ.jl .AND. ht_i(ji,jj,jl1).GT.hi_max(jl) ) & |
---|
| 705 | .OR. & |
---|
| 706 | ( jl1.EQ.jl+1 .AND. ht_i(ji,jj,jl1) .LE. hi_max(jl) ) & |
---|
| 707 | ) THEN |
---|
| 708 | zdaice(ji,jj,jl) = a_i(ji,jj,jl1) ! shift entire category |
---|
| 709 | zdvice(ji,jj,jl) = v_i(ji,jj,jl1) |
---|
| 710 | ELSE |
---|
| 711 | zdaice(ji,jj,jl) = 0.0 ! shift no ice |
---|
| 712 | zdvice(ji,jj,jl) = 0.0 |
---|
| 713 | ENDIF |
---|
[825] | 714 | ELSE |
---|
[921] | 715 | zdvice_negative = .true. |
---|
[825] | 716 | ENDIF |
---|
| 717 | ENDIF |
---|
| 718 | |
---|
[921] | 719 | ! If daice is close to aicen, set daice = aicen. |
---|
[2715] | 720 | IF (zdaice(ji,jj,jl) .GT. a_i(ji,jj,jl1) - epsi10 ) THEN |
---|
| 721 | IF (zdaice(ji,jj,jl) .LT. a_i(ji,jj,jl1)+epsi10) THEN |
---|
[921] | 722 | zdaice(ji,jj,jl) = a_i(ji,jj,jl1) |
---|
| 723 | zdvice(ji,jj,jl) = v_i(ji,jj,jl1) |
---|
| 724 | ELSE |
---|
| 725 | zdaice_greater_aicen = .true. |
---|
| 726 | ENDIF |
---|
[825] | 727 | ENDIF |
---|
| 728 | |
---|
[2715] | 729 | IF (zdvice(ji,jj,jl) .GT. v_i(ji,jj,jl1)-epsi10) THEN |
---|
| 730 | IF (zdvice(ji,jj,jl) .LT. v_i(ji,jj,jl1)+epsi10) THEN |
---|
[921] | 731 | zdaice(ji,jj,jl) = a_i(ji,jj,jl1) |
---|
| 732 | zdvice(ji,jj,jl) = v_i(ji,jj,jl1) |
---|
| 733 | ELSE |
---|
| 734 | zdvice_greater_vicen = .true. |
---|
| 735 | ENDIF |
---|
[825] | 736 | ENDIF |
---|
| 737 | |
---|
[921] | 738 | ENDIF ! donor > 0 |
---|
| 739 | END DO ! i |
---|
[825] | 740 | END DO ! j |
---|
| 741 | |
---|
| 742 | END DO !jl |
---|
| 743 | |
---|
[921] | 744 | !------------------------------------------------------------------------------- |
---|
| 745 | ! 3) Transfer volume and energy between categories |
---|
| 746 | !------------------------------------------------------------------------------- |
---|
[825] | 747 | |
---|
| 748 | DO jl = klbnd, kubnd - 1 |
---|
| 749 | nbrem = 0 |
---|
| 750 | DO jj = 1, jpj |
---|
| 751 | DO ji = 1, jpi |
---|
| 752 | IF (zdaice(ji,jj,jl) .GT. 0.0 ) THEN ! daice(n) can be < puny |
---|
| 753 | nbrem = nbrem + 1 |
---|
| 754 | nind_i(nbrem) = ji |
---|
| 755 | nind_j(nbrem) = jj |
---|
| 756 | ENDIF ! tmask |
---|
| 757 | END DO |
---|
| 758 | END DO |
---|
| 759 | |
---|
| 760 | DO ji = 1, nbrem |
---|
| 761 | zji = nind_i(ji) |
---|
| 762 | zjj = nind_j(ji) |
---|
| 763 | |
---|
| 764 | jl1 = zdonor(zji,zjj,jl) |
---|
[2715] | 765 | zindb = MAX( 0.0 , SIGN( 1.0 , v_i(zji,zjj,jl1) - epsi10 ) ) |
---|
| 766 | zworka(zji,zjj) = zdvice(zji,zjj,jl) / MAX(v_i(zji,zjj,jl1),epsi10) * zindb |
---|
| 767 | IF( jl1 == jl) THEN ; jl2 = jl1+1 |
---|
| 768 | ELSE ; jl2 = jl |
---|
[825] | 769 | ENDIF |
---|
| 770 | |
---|
| 771 | !-------------- |
---|
| 772 | ! Ice areas |
---|
| 773 | !-------------- |
---|
| 774 | |
---|
| 775 | a_i(zji,zjj,jl1) = a_i(zji,zjj,jl1) - zdaice(zji,zjj,jl) |
---|
| 776 | a_i(zji,zjj,jl2) = a_i(zji,zjj,jl2) + zdaice(zji,zjj,jl) |
---|
| 777 | |
---|
| 778 | !-------------- |
---|
| 779 | ! Ice volumes |
---|
| 780 | !-------------- |
---|
| 781 | |
---|
| 782 | v_i(zji,zjj,jl1) = v_i(zji,zjj,jl1) - zdvice(zji,zjj,jl) |
---|
| 783 | v_i(zji,zjj,jl2) = v_i(zji,zjj,jl2) + zdvice(zji,zjj,jl) |
---|
| 784 | |
---|
| 785 | !-------------- |
---|
| 786 | ! Snow volumes |
---|
| 787 | !-------------- |
---|
| 788 | |
---|
| 789 | zdvsnow = v_s(zji,zjj,jl1) * zworka(zji,zjj) |
---|
| 790 | v_s(zji,zjj,jl1) = v_s(zji,zjj,jl1) - zdvsnow |
---|
| 791 | v_s(zji,zjj,jl2) = v_s(zji,zjj,jl2) + zdvsnow |
---|
| 792 | |
---|
| 793 | !-------------------- |
---|
| 794 | ! Snow heat content |
---|
| 795 | !-------------------- |
---|
| 796 | |
---|
| 797 | zdesnow = e_s(zji,zjj,1,jl1) * zworka(zji,zjj) |
---|
| 798 | e_s(zji,zjj,1,jl1) = e_s(zji,zjj,1,jl1) - zdesnow |
---|
| 799 | e_s(zji,zjj,1,jl2) = e_s(zji,zjj,1,jl2) + zdesnow |
---|
| 800 | |
---|
| 801 | !-------------- |
---|
| 802 | ! Ice age |
---|
| 803 | !-------------- |
---|
| 804 | |
---|
| 805 | zdo_aice = oa_i(zji,zjj,jl1) * zdaice(zji,zjj,jl) |
---|
| 806 | oa_i(zji,zjj,jl1) = oa_i(zji,zjj,jl1) - zdo_aice |
---|
| 807 | oa_i(zji,zjj,jl2) = oa_i(zji,zjj,jl2) + zdo_aice |
---|
| 808 | |
---|
| 809 | !-------------- |
---|
| 810 | ! Ice salinity |
---|
| 811 | !-------------- |
---|
| 812 | |
---|
| 813 | zdsm_vice = smv_i(zji,zjj,jl1) * zworka(zji,zjj) |
---|
| 814 | smv_i(zji,zjj,jl1) = smv_i(zji,zjj,jl1) - zdsm_vice |
---|
| 815 | smv_i(zji,zjj,jl2) = smv_i(zji,zjj,jl2) + zdsm_vice |
---|
| 816 | |
---|
| 817 | !--------------------- |
---|
| 818 | ! Surface temperature |
---|
| 819 | !--------------------- |
---|
| 820 | |
---|
| 821 | zdaTsf = t_su(zji,zjj,jl1) * zdaice(zji,zjj,jl) |
---|
| 822 | zaTsfn(zji,zjj,jl1) = zaTsfn(zji,zjj,jl1) - zdaTsf |
---|
| 823 | zaTsfn(zji,zjj,jl2) = zaTsfn(zji,zjj,jl2) + zdaTsf |
---|
| 824 | |
---|
| 825 | END DO ! ji |
---|
| 826 | |
---|
| 827 | !------------------ |
---|
| 828 | ! Ice heat content |
---|
| 829 | !------------------ |
---|
| 830 | |
---|
| 831 | DO jk = 1, nlay_i |
---|
[868] | 832 | !CDIR NODEP |
---|
[825] | 833 | DO ji = 1, nbrem |
---|
| 834 | zji = nind_i(ji) |
---|
| 835 | zjj = nind_j(ji) |
---|
| 836 | |
---|
| 837 | jl1 = zdonor(zji,zjj,jl) |
---|
| 838 | IF (jl1 .EQ. jl) THEN |
---|
| 839 | jl2 = jl+1 |
---|
| 840 | ELSE ! n1 = n+1 |
---|
| 841 | jl2 = jl |
---|
| 842 | ENDIF |
---|
| 843 | |
---|
| 844 | zdeice = e_i(zji,zjj,jk,jl1) * zworka(zji,zjj) |
---|
| 845 | e_i(zji,zjj,jk,jl1) = e_i(zji,zjj,jk,jl1) - zdeice |
---|
| 846 | e_i(zji,zjj,jk,jl2) = e_i(zji,zjj,jk,jl2) + zdeice |
---|
| 847 | END DO ! ji |
---|
| 848 | END DO ! jk |
---|
| 849 | |
---|
| 850 | END DO ! boundaries, 1 to ncat-1 |
---|
| 851 | |
---|
| 852 | !----------------------------------------------------------------- |
---|
| 853 | ! Update ice thickness and temperature |
---|
| 854 | !----------------------------------------------------------------- |
---|
| 855 | |
---|
| 856 | DO jl = klbnd, kubnd |
---|
| 857 | DO jj = 1, jpj |
---|
[921] | 858 | DO ji = 1, jpi |
---|
[2715] | 859 | IF ( a_i(ji,jj,jl) > epsi10 ) THEN |
---|
| 860 | ht_i(ji,jj,jl) = v_i (ji,jj,jl) / a_i(ji,jj,jl) |
---|
[921] | 861 | t_su(ji,jj,jl) = zaTsfn(ji,jj,jl) / a_i(ji,jj,jl) |
---|
| 862 | zindsn = 1.0 - MAX(0.0,SIGN(1.0,-v_s(ji,jj,jl))) !0 if no ice and 1 if yes |
---|
| 863 | ELSE |
---|
[2715] | 864 | ht_i(ji,jj,jl) = 0._wp |
---|
[921] | 865 | t_su(ji,jj,jl) = rtt |
---|
| 866 | ENDIF |
---|
| 867 | END DO ! ji |
---|
[825] | 868 | END DO ! jj |
---|
| 869 | END DO ! jl |
---|
[2715] | 870 | ! |
---|
[3294] | 871 | CALL wrk_dealloc( jpi,jpj,jpl, zaTsfn ) |
---|
| 872 | CALL wrk_dealloc( jpi,jpj, zworka ) |
---|
| 873 | CALL wrk_dealloc( (jpi+1)*(jpj+1), nind_i, nind_j ) ! integer |
---|
| 874 | ! |
---|
[921] | 875 | END SUBROUTINE lim_itd_shiftice |
---|
[2715] | 876 | |
---|
[825] | 877 | |
---|
[2715] | 878 | SUBROUTINE lim_itd_th_reb( klbnd, kubnd, ntyp ) |
---|
[921] | 879 | !!------------------------------------------------------------------ |
---|
| 880 | !! *** ROUTINE lim_itd_th_reb *** |
---|
[2715] | 881 | !! |
---|
[921] | 882 | !! ** Purpose : rebin - rebins thicknesses into defined categories |
---|
| 883 | !! |
---|
| 884 | !! ** Method : |
---|
| 885 | !!------------------------------------------------------------------ |
---|
[2715] | 886 | INTEGER , INTENT (in) :: klbnd ! Start thickness category index point |
---|
| 887 | INTEGER , INTENT (in) :: kubnd ! End point on which the the computation is applied |
---|
| 888 | INTEGER , INTENT (in) :: ntyp ! number of the ice type involved in the rebinning process |
---|
| 889 | ! |
---|
| 890 | INTEGER :: ji,jj, jl ! dummy loop indices |
---|
| 891 | INTEGER :: zshiftflag ! = .true. if ice must be shifted |
---|
[921] | 892 | CHARACTER (len = 15) :: fieldid |
---|
[825] | 893 | |
---|
[3294] | 894 | INTEGER , POINTER, DIMENSION(:,:,:) :: zdonor ! donor category index |
---|
| 895 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zdaice, zdvice ! ice area and volume transferred |
---|
[825] | 896 | |
---|
[3294] | 897 | REAL(wp), POINTER, DIMENSION(:,:) :: vt_i_init, vt_i_final ! ice volume summed over categories |
---|
| 898 | REAL(wp), POINTER, DIMENSION(:,:) :: vt_s_init, vt_s_final ! snow volume summed over categories |
---|
[2715] | 899 | !!------------------------------------------------------------------ |
---|
[3294] | 900 | |
---|
| 901 | CALL wrk_alloc( jpi,jpj,jpl, zdonor ) ! interger |
---|
| 902 | CALL wrk_alloc( jpi,jpj,jpl, zdaice, zdvice ) |
---|
| 903 | CALL wrk_alloc( jpi,jpj, vt_i_init, vt_i_final, vt_s_init, vt_s_final ) |
---|
[2715] | 904 | ! |
---|
| 905 | IF( con_i ) THEN ! conservation check |
---|
[834] | 906 | CALL lim_column_sum (jpl, v_i, vt_i_init) |
---|
| 907 | CALL lim_column_sum (jpl, v_s, vt_s_init) |
---|
| 908 | ENDIF |
---|
[825] | 909 | |
---|
[921] | 910 | ! |
---|
| 911 | !------------------------------------------------------------------------------ |
---|
| 912 | ! 1) Compute ice thickness. |
---|
| 913 | !------------------------------------------------------------------------------ |
---|
[825] | 914 | DO jl = klbnd, kubnd |
---|
| 915 | DO jj = 1, jpj |
---|
[921] | 916 | DO ji = 1, jpi |
---|
[2715] | 917 | IF( a_i(ji,jj,jl) > epsi10 ) THEN |
---|
[921] | 918 | ht_i(ji,jj,jl) = v_i(ji,jj,jl) / a_i(ji,jj,jl) |
---|
| 919 | ELSE |
---|
[2715] | 920 | ht_i(ji,jj,jl) = 0._wp |
---|
[921] | 921 | ENDIF |
---|
[2715] | 922 | END DO |
---|
| 923 | END DO |
---|
| 924 | END DO |
---|
[825] | 925 | |
---|
[921] | 926 | !------------------------------------------------------------------------------ |
---|
| 927 | ! 2) Make sure thickness of cat klbnd is at least hi_max_typ(klbnd) |
---|
| 928 | !------------------------------------------------------------------------------ |
---|
[825] | 929 | DO jj = 1, jpj |
---|
[921] | 930 | DO ji = 1, jpi |
---|
[2715] | 931 | IF( a_i(ji,jj,klbnd) > epsi10 ) THEN |
---|
| 932 | IF( ht_i(ji,jj,klbnd) <= hi_max_typ(0,ntyp) .AND. hi_max_typ(0,ntyp) > 0._wp ) THEN |
---|
[921] | 933 | a_i(ji,jj,klbnd) = v_i(ji,jj,klbnd) / hi_max_typ(0,ntyp) |
---|
| 934 | ht_i(ji,jj,klbnd) = hi_max_typ(0,ntyp) |
---|
| 935 | ENDIF |
---|
[825] | 936 | ENDIF |
---|
[2715] | 937 | END DO |
---|
| 938 | END DO |
---|
[825] | 939 | |
---|
[921] | 940 | !------------------------------------------------------------------------------ |
---|
| 941 | ! 3) If a category thickness is not in bounds, shift the |
---|
| 942 | ! entire area, volume, and energy to the neighboring category |
---|
| 943 | !------------------------------------------------------------------------------ |
---|
[825] | 944 | !------------------------- |
---|
| 945 | ! Initialize shift arrays |
---|
| 946 | !------------------------- |
---|
| 947 | DO jl = klbnd, kubnd |
---|
[2715] | 948 | zdonor(:,:,jl) = 0 |
---|
| 949 | zdaice(:,:,jl) = 0._wp |
---|
| 950 | zdvice(:,:,jl) = 0._wp |
---|
[825] | 951 | END DO |
---|
| 952 | |
---|
| 953 | !------------------------- |
---|
| 954 | ! Move thin categories up |
---|
| 955 | !------------------------- |
---|
| 956 | |
---|
| 957 | DO jl = klbnd, kubnd - 1 ! loop over category boundaries |
---|
| 958 | |
---|
[921] | 959 | !--------------------------------------- |
---|
| 960 | ! identify thicknesses that are too big |
---|
| 961 | !--------------------------------------- |
---|
[869] | 962 | zshiftflag = 0 |
---|
[825] | 963 | |
---|
| 964 | DO jj = 1, jpj |
---|
| 965 | DO ji = 1, jpi |
---|
[2715] | 966 | IF( a_i(ji,jj,jl) > epsi10 .AND. ht_i(ji,jj,jl) > hi_max(jl) ) THEN |
---|
[869] | 967 | zshiftflag = 1 |
---|
[825] | 968 | zdonor(ji,jj,jl) = jl |
---|
| 969 | zdaice(ji,jj,jl) = a_i(ji,jj,jl) |
---|
| 970 | zdvice(ji,jj,jl) = v_i(ji,jj,jl) |
---|
| 971 | ENDIF |
---|
| 972 | END DO ! ji |
---|
| 973 | END DO ! jj |
---|
[2715] | 974 | IF(lk_mpp) CALL mpp_max( zshiftflag ) |
---|
[825] | 975 | |
---|
[2715] | 976 | IF( zshiftflag == 1 ) THEN ! Shift ice between categories |
---|
| 977 | CALL lim_itd_shiftice( klbnd, kubnd, zdonor, zdaice, zdvice ) |
---|
[921] | 978 | ! Reset shift parameters |
---|
[2715] | 979 | zdonor(:,:,jl) = 0 |
---|
| 980 | zdaice(:,:,jl) = 0._wp |
---|
| 981 | zdvice(:,:,jl) = 0._wp |
---|
| 982 | ENDIF |
---|
| 983 | ! |
---|
[825] | 984 | END DO ! jl |
---|
| 985 | |
---|
| 986 | !---------------------------- |
---|
| 987 | ! Move thick categories down |
---|
| 988 | !---------------------------- |
---|
| 989 | |
---|
| 990 | DO jl = kubnd - 1, 1, -1 ! loop over category boundaries |
---|
| 991 | |
---|
[921] | 992 | !----------------------------------------- |
---|
| 993 | ! Identify thicknesses that are too small |
---|
| 994 | !----------------------------------------- |
---|
[869] | 995 | zshiftflag = 0 |
---|
[825] | 996 | |
---|
| 997 | DO jj = 1, jpj |
---|
| 998 | DO ji = 1, jpi |
---|
[2715] | 999 | IF( a_i(ji,jj,jl+1) > epsi10 .AND. & |
---|
| 1000 | ht_i(ji,jj,jl+1) <= hi_max(jl) ) THEN |
---|
| 1001 | ! |
---|
[869] | 1002 | zshiftflag = 1 |
---|
[825] | 1003 | zdonor(ji,jj,jl) = jl + 1 |
---|
| 1004 | zdaice(ji,jj,jl) = a_i(ji,jj,jl+1) |
---|
| 1005 | zdvice(ji,jj,jl) = v_i(ji,jj,jl+1) |
---|
| 1006 | ENDIF |
---|
| 1007 | END DO ! ji |
---|
| 1008 | END DO ! jj |
---|
| 1009 | |
---|
[2715] | 1010 | IF(lk_mpp) CALL mpp_max( zshiftflag ) |
---|
| 1011 | |
---|
| 1012 | IF( zshiftflag == 1 ) THEN ! Shift ice between categories |
---|
| 1013 | CALL lim_itd_shiftice( klbnd, kubnd, zdonor, zdaice, zdvice ) |
---|
[921] | 1014 | ! Reset shift parameters |
---|
[2715] | 1015 | zdonor(:,:,jl) = 0 |
---|
| 1016 | zdaice(:,:,jl) = 0._wp |
---|
| 1017 | zdvice(:,:,jl) = 0._wp |
---|
| 1018 | ENDIF |
---|
[825] | 1019 | |
---|
| 1020 | END DO ! jl |
---|
| 1021 | |
---|
[921] | 1022 | !------------------------------------------------------------------------------ |
---|
| 1023 | ! 4) Conservation check |
---|
| 1024 | !------------------------------------------------------------------------------ |
---|
[825] | 1025 | |
---|
[2715] | 1026 | IF( con_i ) THEN |
---|
[921] | 1027 | CALL lim_column_sum (jpl, v_i, vt_i_final) |
---|
| 1028 | fieldid = ' v_i : limitd_reb ' |
---|
| 1029 | CALL lim_cons_check (vt_i_init, vt_i_final, 1.0e-6, fieldid) |
---|
[825] | 1030 | |
---|
[921] | 1031 | CALL lim_column_sum (jpl, v_s, vt_s_final) |
---|
| 1032 | fieldid = ' v_s : limitd_reb ' |
---|
| 1033 | CALL lim_cons_check (vt_s_init, vt_s_final, 1.0e-6, fieldid) |
---|
| 1034 | ENDIF |
---|
[2715] | 1035 | ! |
---|
[3294] | 1036 | CALL wrk_dealloc( jpi,jpj,jpl, zdonor ) ! interger |
---|
| 1037 | CALL wrk_dealloc( jpi,jpj,jpl, zdaice, zdvice ) |
---|
| 1038 | CALL wrk_dealloc( jpi,jpj, vt_i_init, vt_i_final, vt_s_init, vt_s_final ) |
---|
| 1039 | |
---|
[921] | 1040 | END SUBROUTINE lim_itd_th_reb |
---|
[825] | 1041 | |
---|
| 1042 | #else |
---|
[2715] | 1043 | !!---------------------------------------------------------------------- |
---|
| 1044 | !! Default option Dummy module NO LIM sea-ice model |
---|
| 1045 | !!---------------------------------------------------------------------- |
---|
[825] | 1046 | CONTAINS |
---|
| 1047 | SUBROUTINE lim_itd_th ! Empty routines |
---|
| 1048 | END SUBROUTINE lim_itd_th |
---|
| 1049 | SUBROUTINE lim_itd_th_ini |
---|
| 1050 | END SUBROUTINE lim_itd_th_ini |
---|
| 1051 | SUBROUTINE lim_itd_th_rem |
---|
| 1052 | END SUBROUTINE lim_itd_th_rem |
---|
| 1053 | SUBROUTINE lim_itd_fitline |
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| 1054 | END SUBROUTINE lim_itd_fitline |
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| 1055 | SUBROUTINE lim_itd_shiftice |
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| 1056 | END SUBROUTINE lim_itd_shiftice |
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| 1057 | SUBROUTINE lim_itd_th_reb |
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| 1058 | END SUBROUTINE lim_itd_th_reb |
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| 1059 | #endif |
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[2715] | 1060 | !!====================================================================== |
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[921] | 1061 | END MODULE limitd_th |
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