[825] | 1 | MODULE limvar |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE limvar *** |
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| 4 | !! Different sets of ice model variables |
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| 5 | !! how to switch from one to another |
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| 6 | !! |
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| 7 | !! There are three sets of variables |
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| 8 | !! VGLO : global variables of the model |
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| 9 | !! - v_i (jpi,jpj,jpl) |
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| 10 | !! - v_s (jpi,jpj,jpl) |
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| 11 | !! - a_i (jpi,jpj,jpl) |
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| 12 | !! - t_s (jpi,jpj,jpl) |
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| 13 | !! - e_i (jpi,jpj,nlay_i,jpl) |
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| 14 | !! - smv_i(jpi,jpj,jpl) |
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| 15 | !! - oa_i (jpi,jpj,jpl) |
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| 16 | !! VEQV : equivalent variables sometimes used in the model |
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| 17 | !! - ht_i(jpi,jpj,jpl) |
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| 18 | !! - ht_s(jpi,jpj,jpl) |
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| 19 | !! - t_i (jpi,jpj,nlay_i,jpl) |
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| 20 | !! ... |
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| 21 | !! VAGG : aggregate variables, averaged/summed over all |
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| 22 | !! thickness categories |
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| 23 | !! - vt_i(jpi,jpj) |
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| 24 | !! - vt_s(jpi,jpj) |
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| 25 | !! - at_i(jpi,jpj) |
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| 26 | !! - et_s(jpi,jpj) !total snow heat content |
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| 27 | !! - et_i(jpi,jpj) !total ice thermal content |
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| 28 | !! - smt_i(jpi,jpj) !mean ice salinity |
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| 29 | !! - ot_i(jpi,jpj) !average ice age |
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| 30 | !!====================================================================== |
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[2715] | 31 | !! History : - ! 2006-01 (M. Vancoppenolle) Original code |
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| 32 | !! 4.0 ! 2011-02 (G. Madec) dynamical allocation |
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| 33 | !!---------------------------------------------------------------------- |
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[888] | 34 | #if defined key_lim3 |
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[825] | 35 | !!---------------------------------------------------------------------- |
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[2715] | 36 | !! 'key_lim3' LIM3 sea-ice model |
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| 37 | !!---------------------------------------------------------------------- |
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| 38 | !! lim_var_agg : |
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| 39 | !! lim_var_glo2eqv : |
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| 40 | !! lim_var_eqv2glo : |
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| 41 | !! lim_var_salprof : |
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| 42 | !! lim_var_salprof1d : |
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| 43 | !! lim_var_bv : |
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| 44 | !!---------------------------------------------------------------------- |
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[3625] | 45 | USE par_oce ! ocean parameters |
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| 46 | USE phycst ! physical constants (ocean directory) |
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| 47 | USE sbc_oce ! Surface boundary condition: ocean fields |
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| 48 | USE ice ! ice variables |
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| 49 | USE par_ice ! ice parameters |
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| 50 | USE thd_ice ! ice variables (thermodynamics) |
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| 51 | USE dom_ice ! ice domain |
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| 52 | USE in_out_manager ! I/O manager |
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| 53 | USE lib_mpp ! MPP library |
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| 54 | USE wrk_nemo ! work arrays |
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| 55 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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[921] | 56 | |
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[825] | 57 | IMPLICIT NONE |
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| 58 | PRIVATE |
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| 59 | |
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[2715] | 60 | PUBLIC lim_var_agg ! |
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| 61 | PUBLIC lim_var_glo2eqv ! |
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| 62 | PUBLIC lim_var_eqv2glo ! |
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| 63 | PUBLIC lim_var_salprof ! |
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[4045] | 64 | PUBLIC lim_var_icetm ! |
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[2715] | 65 | PUBLIC lim_var_bv ! |
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| 66 | PUBLIC lim_var_salprof1d ! |
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[825] | 67 | |
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[4045] | 68 | REAL(wp) :: epsi20 = 1.e-20_wp ! module constants |
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| 69 | REAL(wp) :: epsi16 = 1.e-16_wp ! - - |
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| 70 | REAL(wp) :: epsi13 = 1.e-13_wp ! - - |
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| 71 | REAL(wp) :: epsi10 = 1.e-10_wp ! - - |
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| 72 | REAL(wp) :: epsi06 = 1.e-06_wp ! - - |
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[2715] | 73 | REAL(wp) :: zzero = 0.e0 ! - - |
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| 74 | REAL(wp) :: zone = 1.e0 ! - - |
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[825] | 75 | |
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| 76 | !!---------------------------------------------------------------------- |
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[4045] | 77 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
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[1156] | 78 | !! $Id$ |
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[2715] | 79 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[825] | 80 | !!---------------------------------------------------------------------- |
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| 81 | CONTAINS |
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| 82 | |
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[2715] | 83 | SUBROUTINE lim_var_agg( kn ) |
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[921] | 84 | !!------------------------------------------------------------------ |
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| 85 | !! *** ROUTINE lim_var_agg *** |
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[2715] | 86 | !! |
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| 87 | !! ** Purpose : aggregates ice-thickness-category variables to all-ice variables |
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| 88 | !! i.e. it turns VGLO into VAGG |
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[921] | 89 | !! ** Method : |
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| 90 | !! |
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| 91 | !! ** Arguments : n = 1, at_i vt_i only |
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| 92 | !! n = 2 everything |
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| 93 | !! |
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| 94 | !! note : you could add an argument when you need only at_i, vt_i |
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| 95 | !! and when you need everything |
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| 96 | !!------------------------------------------------------------------ |
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[2715] | 97 | INTEGER, INTENT( in ) :: kn ! =1 at_i & vt only ; = what is needed |
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| 98 | ! |
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| 99 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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[4045] | 100 | REAL(wp) :: zinda, zindb |
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[2715] | 101 | !!------------------------------------------------------------------ |
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[825] | 102 | |
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[921] | 103 | !-------------------- |
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| 104 | ! Compute variables |
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| 105 | !-------------------- |
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[2715] | 106 | vt_i (:,:) = 0._wp |
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| 107 | vt_s (:,:) = 0._wp |
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| 108 | at_i (:,:) = 0._wp |
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| 109 | ato_i(:,:) = 1._wp |
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| 110 | ! |
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[921] | 111 | DO jl = 1, jpl |
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| 112 | DO jj = 1, jpj |
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| 113 | DO ji = 1, jpi |
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[2715] | 114 | ! |
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[921] | 115 | vt_i(ji,jj) = vt_i(ji,jj) + v_i(ji,jj,jl) ! ice volume |
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| 116 | vt_s(ji,jj) = vt_s(ji,jj) + v_s(ji,jj,jl) ! snow volume |
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| 117 | at_i(ji,jj) = at_i(ji,jj) + a_i(ji,jj,jl) ! ice concentration |
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[2715] | 118 | ! |
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[4045] | 119 | zinda = MAX( zzero , SIGN( zone , at_i(ji,jj) - epsi16 ) ) |
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| 120 | icethi(ji,jj) = vt_i(ji,jj) / MAX( at_i(ji,jj) , epsi16 ) * zinda ! ice thickness |
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[921] | 121 | END DO |
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| 122 | END DO |
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| 123 | END DO |
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[825] | 124 | |
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[921] | 125 | DO jj = 1, jpj |
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| 126 | DO ji = 1, jpi |
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[2715] | 127 | ato_i(ji,jj) = MAX( 1._wp - at_i(ji,jj), 0._wp ) ! open water fraction |
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[921] | 128 | END DO |
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| 129 | END DO |
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[825] | 130 | |
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[2715] | 131 | IF( kn > 1 ) THEN |
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| 132 | et_s (:,:) = 0._wp |
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| 133 | ot_i (:,:) = 0._wp |
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| 134 | smt_i(:,:) = 0._wp |
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| 135 | et_i (:,:) = 0._wp |
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| 136 | ! |
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[921] | 137 | DO jl = 1, jpl |
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| 138 | DO jj = 1, jpj |
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| 139 | DO ji = 1, jpi |
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[4045] | 140 | zinda = MAX( zzero , SIGN( zone , vt_i(ji,jj) - epsi16 ) ) |
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| 141 | zindb = MAX( zzero , SIGN( zone , at_i(ji,jj) - epsi16 ) ) |
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[2715] | 142 | et_s(ji,jj) = et_s(ji,jj) + e_s(ji,jj,1,jl) ! snow heat content |
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[4045] | 143 | smt_i(ji,jj) = smt_i(ji,jj) + smv_i(ji,jj,jl) / MAX( vt_i(ji,jj) , epsi16 ) * zinda ! ice salinity |
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| 144 | ot_i(ji,jj) = ot_i(ji,jj) + oa_i(ji,jj,jl) / MAX( at_i(ji,jj) , epsi16 ) * zindb ! ice age |
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[921] | 145 | END DO |
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| 146 | END DO |
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| 147 | END DO |
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[2715] | 148 | ! |
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[921] | 149 | DO jl = 1, jpl |
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| 150 | DO jk = 1, nlay_i |
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[2715] | 151 | et_i(:,:) = et_i(:,:) + e_i(:,:,jk,jl) ! ice heat content |
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[921] | 152 | END DO |
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| 153 | END DO |
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[2715] | 154 | ! |
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| 155 | ENDIF |
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| 156 | ! |
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[921] | 157 | END SUBROUTINE lim_var_agg |
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[825] | 158 | |
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| 159 | |
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[921] | 160 | SUBROUTINE lim_var_glo2eqv |
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| 161 | !!------------------------------------------------------------------ |
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[2715] | 162 | !! *** ROUTINE lim_var_glo2eqv *** |
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[921] | 163 | !! |
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[2715] | 164 | !! ** Purpose : computes equivalent variables as function of global variables |
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| 165 | !! i.e. it turns VGLO into VEQV |
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[921] | 166 | !!------------------------------------------------------------------ |
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[2715] | 167 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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| 168 | REAL(wp) :: zq_i, zaaa, zbbb, zccc, zdiscrim ! local scalars |
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| 169 | REAL(wp) :: ztmelts, zindb, zq_s, zfac1, zfac2 ! - - |
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| 170 | !!------------------------------------------------------------------ |
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[825] | 171 | |
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| 172 | !------------------------------------------------------- |
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| 173 | ! Ice thickness, snow thickness, ice salinity, ice age |
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| 174 | !------------------------------------------------------- |
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| 175 | DO jl = 1, jpl |
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| 176 | DO jj = 1, jpj |
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| 177 | DO ji = 1, jpi |
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[4045] | 178 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp,- a_i(ji,jj,jl) + epsi10 ) ) !0 if no ice and 1 if yes |
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| 179 | ht_i(ji,jj,jl) = v_i (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi10 ) * zindb |
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| 180 | ht_s(ji,jj,jl) = v_s (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi10 ) * zindb |
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| 181 | o_i(ji,jj,jl) = oa_i(ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi10 ) * zindb |
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[825] | 182 | END DO |
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| 183 | END DO |
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| 184 | END DO |
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| 185 | |
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[3625] | 186 | IF( num_sal == 2 )THEN |
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[921] | 187 | DO jl = 1, jpl |
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| 188 | DO jj = 1, jpj |
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| 189 | DO ji = 1, jpi |
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[4045] | 190 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp,- a_i(ji,jj,jl) + epsi10 ) ) !0 if no ice and 1 if yes |
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| 191 | sm_i(ji,jj,jl) = smv_i(ji,jj,jl) / MAX( v_i(ji,jj,jl) , epsi10 ) * zindb |
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[921] | 192 | END DO |
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[825] | 193 | END DO |
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| 194 | END DO |
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| 195 | ENDIF |
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| 196 | |
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[2715] | 197 | CALL lim_var_salprof ! salinity profile |
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[825] | 198 | |
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| 199 | !------------------- |
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| 200 | ! Ice temperatures |
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| 201 | !------------------- |
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[868] | 202 | !CDIR NOVERRCHK |
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[825] | 203 | DO jl = 1, jpl |
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[868] | 204 | !CDIR NOVERRCHK |
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[921] | 205 | DO jk = 1, nlay_i |
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[868] | 206 | !CDIR NOVERRCHK |
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[921] | 207 | DO jj = 1, jpj |
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[868] | 208 | !CDIR NOVERRCHK |
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[921] | 209 | DO ji = 1, jpi |
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[2715] | 210 | ! ! Energy of melting q(S,T) [J.m-3] |
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[4045] | 211 | zq_i = e_i(ji,jj,jk,jl) / area(ji,jj) / MAX( v_i(ji,jj,jl) , epsi06 ) * REAL(nlay_i,wp) |
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[2715] | 212 | zindb = 1.0 - MAX( 0.0 , SIGN( 1.0 , - v_i(ji,jj,jl) ) ) ! zindb = 0 if no ice and 1 if yes |
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| 213 | zq_i = zq_i * unit_fac * zindb !convert units |
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| 214 | ztmelts = -tmut * s_i(ji,jj,jk,jl) + rtt ! Ice layer melt temperature |
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| 215 | ! |
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| 216 | zaaa = cpic ! Conversion q(S,T) -> T (second order equation) |
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| 217 | zbbb = ( rcp - cpic ) * ( ztmelts - rtt ) + zq_i / rhoic - lfus |
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[921] | 218 | zccc = lfus * (ztmelts-rtt) |
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[2715] | 219 | zdiscrim = SQRT( MAX(zbbb*zbbb - 4._wp*zaaa*zccc , 0._wp) ) |
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| 220 | t_i(ji,jj,jk,jl) = rtt + zindb *( - zbbb - zdiscrim ) / ( 2.0 *zaaa ) |
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| 221 | t_i(ji,jj,jk,jl) = MIN( rtt, MAX( 173.15_wp, t_i(ji,jj,jk,jl) ) ) ! 100-rtt < t_i < rtt |
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[921] | 222 | END DO |
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[825] | 223 | END DO |
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[921] | 224 | END DO |
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[825] | 225 | END DO |
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| 226 | |
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| 227 | !-------------------- |
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| 228 | ! Snow temperatures |
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| 229 | !-------------------- |
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[2715] | 230 | zfac1 = 1._wp / ( rhosn * cpic ) |
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[825] | 231 | zfac2 = lfus / cpic |
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| 232 | DO jl = 1, jpl |
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[921] | 233 | DO jk = 1, nlay_s |
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| 234 | DO jj = 1, jpj |
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| 235 | DO ji = 1, jpi |
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| 236 | !Energy of melting q(S,T) [J.m-3] |
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[4045] | 237 | zq_s = e_s(ji,jj,jk,jl) / ( area(ji,jj) * MAX( v_s(ji,jj,jl) , epsi06 ) ) * REAL(nlay_s,wp) |
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[2715] | 238 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , - v_s(ji,jj,jl) ) ) ! zindb = 0 if no ice and 1 if yes |
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| 239 | zq_s = zq_s * unit_fac * zindb ! convert units |
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| 240 | ! |
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[921] | 241 | t_s(ji,jj,jk,jl) = rtt + zindb * ( - zfac1 * zq_s + zfac2 ) |
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[2715] | 242 | t_s(ji,jj,jk,jl) = MIN( rtt, MAX( 173.15, t_s(ji,jj,jk,jl) ) ) ! 100-rtt < t_i < rtt |
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[921] | 243 | END DO |
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[825] | 244 | END DO |
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[921] | 245 | END DO |
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[825] | 246 | END DO |
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| 247 | |
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| 248 | !------------------- |
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| 249 | ! Mean temperature |
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| 250 | !------------------- |
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[2715] | 251 | tm_i(:,:) = 0._wp |
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[825] | 252 | DO jl = 1, jpl |
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| 253 | DO jk = 1, nlay_i |
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| 254 | DO jj = 1, jpj |
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| 255 | DO ji = 1, jpi |
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[4045] | 256 | zindb = ( 1._wp - MAX( 0._wp , SIGN( 1._wp , - vt_i(ji,jj) + epsi10 ) ) ) |
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| 257 | tm_i(ji,jj) = tm_i(ji,jj) + zindb * t_i(ji,jj,jk,jl) * v_i(ji,jj,jl) & |
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| 258 | & / ( REAL(nlay_i,wp) * MAX( vt_i(ji,jj) , epsi10 ) ) |
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[825] | 259 | END DO |
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| 260 | END DO |
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| 261 | END DO |
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| 262 | END DO |
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[2715] | 263 | ! |
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[825] | 264 | END SUBROUTINE lim_var_glo2eqv |
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| 265 | |
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| 266 | |
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| 267 | SUBROUTINE lim_var_eqv2glo |
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[921] | 268 | !!------------------------------------------------------------------ |
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[2715] | 269 | !! *** ROUTINE lim_var_eqv2glo *** |
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| 270 | !! |
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| 271 | !! ** Purpose : computes global variables as function of equivalent variables |
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| 272 | !! i.e. it turns VEQV into VGLO |
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[921] | 273 | !! ** Method : |
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| 274 | !! |
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[2715] | 275 | !! ** History : (01-2006) Martin Vancoppenolle, UCL-ASTR |
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[921] | 276 | !!------------------------------------------------------------------ |
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[2715] | 277 | ! |
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[921] | 278 | v_i(:,:,:) = ht_i(:,:,:) * a_i(:,:,:) |
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| 279 | v_s(:,:,:) = ht_s(:,:,:) * a_i(:,:,:) |
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| 280 | smv_i(:,:,:) = sm_i(:,:,:) * v_i(:,:,:) |
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| 281 | oa_i (:,:,:) = o_i (:,:,:) * a_i(:,:,:) |
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[2715] | 282 | ! |
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[921] | 283 | END SUBROUTINE lim_var_eqv2glo |
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[825] | 284 | |
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| 285 | |
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[921] | 286 | SUBROUTINE lim_var_salprof |
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| 287 | !!------------------------------------------------------------------ |
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[2715] | 288 | !! *** ROUTINE lim_var_salprof *** |
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[921] | 289 | !! |
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[2715] | 290 | !! ** Purpose : computes salinity profile in function of bulk salinity |
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| 291 | !! |
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[921] | 292 | !! ** Method : If bulk salinity greater than s_i_1, |
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| 293 | !! the profile is assumed to be constant (S_inf) |
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| 294 | !! If bulk salinity lower than s_i_0, |
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| 295 | !! the profile is linear with 0 at the surface (S_zero) |
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| 296 | !! If it is between s_i_0 and s_i_1, it is a |
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| 297 | !! alpha-weighted linear combination of s_inf and s_zero |
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| 298 | !! |
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| 299 | !! ** References : Vancoppenolle et al., 2007 (in preparation) |
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| 300 | !!------------------------------------------------------------------ |
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[2715] | 301 | INTEGER :: ji, jj, jk, jl ! dummy loop index |
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| 302 | REAL(wp) :: dummy_fac0, dummy_fac1, dummy_fac, zsal ! local scalar |
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| 303 | REAL(wp) :: zind0, zind01, zindbal, zargtemp , zs_zero ! - - |
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| 304 | REAL(wp), POINTER, DIMENSION(:,:,:) :: z_slope_s, zalpha ! 3D pointer |
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| 305 | !!------------------------------------------------------------------ |
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[825] | 306 | |
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[3294] | 307 | CALL wrk_alloc( jpi, jpj, jpl, z_slope_s, zalpha ) |
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[825] | 308 | |
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| 309 | !--------------------------------------- |
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| 310 | ! Vertically constant, constant in time |
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| 311 | !--------------------------------------- |
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[3625] | 312 | IF( num_sal == 1 ) s_i(:,:,:,:) = bulk_sal |
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[825] | 313 | |
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| 314 | !----------------------------------- |
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| 315 | ! Salinity profile, varying in time |
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| 316 | !----------------------------------- |
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[3625] | 317 | IF( num_sal == 2 ) THEN |
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[2715] | 318 | ! |
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[825] | 319 | DO jk = 1, nlay_i |
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| 320 | s_i(:,:,jk,:) = sm_i(:,:,:) |
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[2715] | 321 | END DO |
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| 322 | ! |
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| 323 | DO jl = 1, jpl ! Slope of the linear profile |
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[825] | 324 | DO jj = 1, jpj |
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| 325 | DO ji = 1, jpi |
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[2715] | 326 | z_slope_s(ji,jj,jl) = 2._wp * sm_i(ji,jj,jl) / MAX( 0.01 , ht_i(ji,jj,jl) ) |
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| 327 | END DO |
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| 328 | END DO |
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| 329 | END DO |
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| 330 | ! |
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| 331 | dummy_fac0 = 1._wp / ( s_i_0 - s_i_1 ) ! Weighting factor between zs_zero and zs_inf |
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[825] | 332 | dummy_fac1 = s_i_1 / ( s_i_1 - s_i_0 ) |
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[3625] | 333 | ! |
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[2715] | 334 | zalpha(:,:,:) = 0._wp |
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[825] | 335 | DO jl = 1, jpl |
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| 336 | DO jj = 1, jpj |
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| 337 | DO ji = 1, jpi |
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| 338 | ! zind0 = 1 if sm_i le s_i_0 and 0 otherwise |
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[4045] | 339 | zind0 = MAX( 0._wp , SIGN( 1._wp , s_i_0 - sm_i(ji,jj,jl) ) ) |
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[825] | 340 | ! zind01 = 1 if sm_i is between s_i_0 and s_i_1 and 0 othws |
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[4045] | 341 | zind01 = ( 1._wp - zind0 ) * MAX( 0._wp , SIGN( 1._wp , s_i_1 - sm_i(ji,jj,jl) ) ) |
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[888] | 342 | ! If 2.sm_i GE sss_m then zindbal = 1 |
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[4045] | 343 | zindbal = MAX( 0._wp , SIGN( 1._wp , 2._wp * sm_i(ji,jj,jl) - sss_m(ji,jj) ) ) |
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| 344 | zalpha(ji,jj,jl) = zind0 + zind01 * ( sm_i(ji,jj,jl) * dummy_fac0 + dummy_fac1 ) |
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| 345 | zalpha(ji,jj,jl) = zalpha(ji,jj,jl) * ( 1._wp - zindbal ) |
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[825] | 346 | END DO |
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| 347 | END DO |
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| 348 | END DO |
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[4045] | 349 | |
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| 350 | dummy_fac = 1._wp / REAL( nlay_i ) ! Computation of the profile |
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[825] | 351 | DO jl = 1, jpl |
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| 352 | DO jk = 1, nlay_i |
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| 353 | DO jj = 1, jpj |
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| 354 | DO ji = 1, jpi |
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[2715] | 355 | ! ! linear profile with 0 at the surface |
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| 356 | zs_zero = z_slope_s(ji,jj,jl) * ( REAL(jk,wp) - 0.5_wp ) * ht_i(ji,jj,jl) * dummy_fac |
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| 357 | ! ! weighting the profile |
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| 358 | s_i(ji,jj,jk,jl) = zalpha(ji,jj,jl) * zs_zero + ( 1._wp - zalpha(ji,jj,jl) ) * sm_i(ji,jj,jl) |
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[825] | 359 | END DO ! ji |
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| 360 | END DO ! jj |
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| 361 | END DO ! jk |
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| 362 | END DO ! jl |
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[3625] | 363 | ! |
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[825] | 364 | ENDIF ! num_sal |
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| 365 | |
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| 366 | !------------------------------------------------------- |
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| 367 | ! Vertically varying salinity profile, constant in time |
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| 368 | !------------------------------------------------------- |
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[921] | 369 | |
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[3625] | 370 | IF( num_sal == 3 ) THEN ! Schwarzacher (1959) multiyear salinity profile (mean = 2.30) |
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[2715] | 371 | ! |
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| 372 | sm_i(:,:,:) = 2.30_wp |
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| 373 | ! |
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[825] | 374 | DO jl = 1, jpl |
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[868] | 375 | !CDIR NOVERRCHK |
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[825] | 376 | DO jk = 1, nlay_i |
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[2715] | 377 | zargtemp = ( REAL(jk,wp) - 0.5_wp ) / REAL(nlay_i,wp) |
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| 378 | zsal = 1.6_wp * ( 1._wp - COS( rpi * zargtemp**(0.407_wp/(0.573_wp+zargtemp)) ) ) |
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| 379 | s_i(:,:,jk,jl) = zsal |
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| 380 | END DO |
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| 381 | END DO |
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[3625] | 382 | ! |
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[825] | 383 | ENDIF ! num_sal |
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[2715] | 384 | ! |
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[3294] | 385 | CALL wrk_dealloc( jpi, jpj, jpl, z_slope_s, zalpha ) |
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[2715] | 386 | ! |
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[825] | 387 | END SUBROUTINE lim_var_salprof |
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| 388 | |
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| 389 | |
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[4045] | 390 | SUBROUTINE lim_var_icetm |
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| 391 | !!------------------------------------------------------------------ |
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| 392 | !! *** ROUTINE lim_var_icetm *** |
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| 393 | !! |
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| 394 | !! ** Purpose : computes mean sea ice temperature |
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| 395 | !!------------------------------------------------------------------ |
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| 396 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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| 397 | REAL(wp) :: zindb ! - - |
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| 398 | !!------------------------------------------------------------------ |
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| 399 | |
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| 400 | ! Mean sea ice temperature |
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| 401 | tm_i(:,:) = 0._wp |
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| 402 | DO jl = 1, jpl |
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| 403 | DO jk = 1, nlay_i |
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| 404 | DO jj = 1, jpj |
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| 405 | DO ji = 1, jpi |
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| 406 | zindb = ( 1._wp - MAX( 0._wp , SIGN( 1._wp , - vt_i(ji,jj) + epsi10 ) ) ) |
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| 407 | tm_i(ji,jj) = tm_i(ji,jj) + zindb * t_i(ji,jj,jk,jl) * v_i(ji,jj,jl) & |
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| 408 | & / ( REAL(nlay_i,wp) * MAX( vt_i(ji,jj) , epsi10 ) ) |
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| 409 | END DO |
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| 410 | END DO |
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| 411 | END DO |
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| 412 | END DO |
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| 413 | |
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| 414 | END SUBROUTINE lim_var_icetm |
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| 415 | |
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| 416 | |
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[825] | 417 | SUBROUTINE lim_var_bv |
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[921] | 418 | !!------------------------------------------------------------------ |
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[2715] | 419 | !! *** ROUTINE lim_var_bv *** |
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[921] | 420 | !! |
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[2715] | 421 | !! ** Purpose : computes mean brine volume (%) in sea ice |
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| 422 | !! |
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[921] | 423 | !! ** Method : e = - 0.054 * S (ppt) / T (C) |
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| 424 | !! |
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[2715] | 425 | !! References : Vancoppenolle et al., JGR, 2007 |
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[921] | 426 | !!------------------------------------------------------------------ |
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[2715] | 427 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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[4045] | 428 | REAL(wp) :: zbvi, zinda, zindb ! local scalars |
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[2715] | 429 | !!------------------------------------------------------------------ |
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| 430 | ! |
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| 431 | bv_i(:,:) = 0._wp |
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[921] | 432 | DO jl = 1, jpl |
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| 433 | DO jk = 1, nlay_i |
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| 434 | DO jj = 1, jpj |
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| 435 | DO ji = 1, jpi |
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[4045] | 436 | zinda = ( 1._wp - MAX( 0._wp , SIGN( 1._wp , (t_i(ji,jj,jk,jl) - rtt) + epsi16 ) ) ) |
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| 437 | zindb = ( 1._wp - MAX( 0._wp , SIGN( 1._wp , - vt_i(ji,jj) + epsi16 ) ) ) |
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| 438 | zbvi = - zinda * tmut * s_i(ji,jj,jk,jl) / MIN( t_i(ji,jj,jk,jl) - rtt, - epsi16 ) & |
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[2715] | 439 | & * v_i(ji,jj,jl) / REAL(nlay_i,wp) |
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[4045] | 440 | bv_i(ji,jj) = bv_i(ji,jj) + zindb * zbvi / MAX( vt_i(ji,jj) , epsi16 ) |
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[921] | 441 | END DO |
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| 442 | END DO |
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| 443 | END DO |
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| 444 | END DO |
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[2715] | 445 | ! |
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[921] | 446 | END SUBROUTINE lim_var_bv |
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[825] | 447 | |
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| 448 | |
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[2715] | 449 | SUBROUTINE lim_var_salprof1d( kideb, kiut ) |
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[825] | 450 | !!------------------------------------------------------------------- |
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| 451 | !! *** ROUTINE lim_thd_salprof1d *** |
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| 452 | !! |
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| 453 | !! ** Purpose : 1d computation of the sea ice salinity profile |
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[2715] | 454 | !! Works with 1d vectors and is used by thermodynamic modules |
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[825] | 455 | !!------------------------------------------------------------------- |
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[2715] | 456 | INTEGER, INTENT(in) :: kideb, kiut ! thickness category index |
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| 457 | ! |
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| 458 | INTEGER :: ji, jk ! dummy loop indices |
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[4045] | 459 | INTEGER :: ii, ij ! local integers |
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[2715] | 460 | REAL(wp) :: dummy_fac0, dummy_fac1, dummy_fac2, zargtemp, zsal ! local scalars |
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| 461 | REAL(wp) :: zalpha, zind0, zind01, zindbal, zs_zero ! - - |
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| 462 | ! |
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| 463 | REAL(wp), POINTER, DIMENSION(:) :: z_slope_s |
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| 464 | !!--------------------------------------------------------------------- |
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[825] | 465 | |
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[3294] | 466 | CALL wrk_alloc( jpij, z_slope_s ) |
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[825] | 467 | |
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| 468 | !--------------------------------------- |
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| 469 | ! Vertically constant, constant in time |
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| 470 | !--------------------------------------- |
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[2715] | 471 | IF( num_sal == 1 ) s_i_b(:,:) = bulk_sal |
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[825] | 472 | |
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| 473 | !------------------------------------------------------ |
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| 474 | ! Vertically varying salinity profile, varying in time |
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| 475 | !------------------------------------------------------ |
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| 476 | |
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[3625] | 477 | IF( num_sal == 2 ) THEN |
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[2715] | 478 | ! |
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| 479 | DO ji = kideb, kiut ! Slope of the linear profile zs_zero |
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| 480 | z_slope_s(ji) = 2._wp * sm_i_b(ji) / MAX( 0.01 , ht_i_b(ji) ) |
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| 481 | END DO |
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[825] | 482 | |
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| 483 | ! Weighting factor between zs_zero and zs_inf |
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| 484 | !--------------------------------------------- |
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[2715] | 485 | dummy_fac0 = 1._wp / ( s_i_0 - s_i_1 ) |
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[825] | 486 | dummy_fac1 = s_i_1 / ( s_i_1 - s_i_0 ) |
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[2715] | 487 | dummy_fac2 = 1._wp / REAL(nlay_i,wp) |
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[825] | 488 | |
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[868] | 489 | !CDIR NOVERRCHK |
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[825] | 490 | DO jk = 1, nlay_i |
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[868] | 491 | !CDIR NOVERRCHK |
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[825] | 492 | DO ji = kideb, kiut |
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[4045] | 493 | ii = MOD( npb(ji) - 1 , jpi ) + 1 |
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| 494 | ij = ( npb(ji) - 1 ) / jpi + 1 |
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[825] | 495 | ! zind0 = 1 if sm_i le s_i_0 and 0 otherwise |
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[2715] | 496 | zind0 = MAX( 0._wp , SIGN( 1._wp , s_i_0 - sm_i_b(ji) ) ) |
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[825] | 497 | ! zind01 = 1 if sm_i is between s_i_0 and s_i_1 and 0 othws |
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[2715] | 498 | zind01 = ( 1._wp - zind0 ) * MAX( 0._wp , SIGN( 1._wp , s_i_1 - sm_i_b(ji) ) ) |
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[888] | 499 | ! if 2.sm_i GE sss_m then zindbal = 1 |
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[4045] | 500 | zindbal = MAX( 0._wp , SIGN( 1._wp , 2._wp * sm_i_b(ji) - sss_m(ii,ij) ) ) |
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[2715] | 501 | ! |
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| 502 | zalpha = ( zind0 + zind01 * ( sm_i_b(ji) * dummy_fac0 + dummy_fac1 ) ) * ( 1.0 - zindbal ) |
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| 503 | ! |
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| 504 | zs_zero = z_slope_s(ji) * ( REAL(jk,wp) - 0.5_wp ) * ht_i_b(ji) * dummy_fac2 |
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[825] | 505 | ! weighting the profile |
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[2715] | 506 | s_i_b(ji,jk) = zalpha * zs_zero + ( 1._wp - zalpha ) * sm_i_b(ji) |
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[825] | 507 | END DO ! ji |
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| 508 | END DO ! jk |
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| 509 | |
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| 510 | ENDIF ! num_sal |
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| 511 | |
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| 512 | !------------------------------------------------------- |
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| 513 | ! Vertically varying salinity profile, constant in time |
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| 514 | !------------------------------------------------------- |
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| 515 | |
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[2715] | 516 | IF( num_sal == 3 ) THEN ! Schwarzacher (1959) multiyear salinity profile (mean = 2.30) |
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| 517 | ! |
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| 518 | sm_i_b(:) = 2.30_wp |
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| 519 | ! |
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[868] | 520 | !CDIR NOVERRCHK |
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[2715] | 521 | DO jk = 1, nlay_i |
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| 522 | zargtemp = ( REAL(jk,wp) - 0.5_wp ) / REAL(nlay_i,wp) |
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| 523 | zsal = 1.6_wp * ( 1._wp - COS( rpi * zargtemp**(0.407_wp/(0.573_wp+zargtemp)) ) ) |
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| 524 | DO ji = kideb, kiut |
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| 525 | s_i_b(ji,jk) = zsal |
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| 526 | END DO |
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| 527 | END DO |
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| 528 | ! |
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| 529 | ENDIF |
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| 530 | ! |
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[3294] | 531 | CALL wrk_dealloc( jpij, z_slope_s ) |
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[2715] | 532 | ! |
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[825] | 533 | END SUBROUTINE lim_var_salprof1d |
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| 534 | |
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| 535 | #else |
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[2715] | 536 | !!---------------------------------------------------------------------- |
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| 537 | !! Default option Dummy module NO LIM3 sea-ice model |
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| 538 | !!---------------------------------------------------------------------- |
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[825] | 539 | CONTAINS |
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| 540 | SUBROUTINE lim_var_agg ! Empty routines |
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| 541 | END SUBROUTINE lim_var_agg |
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| 542 | SUBROUTINE lim_var_glo2eqv ! Empty routines |
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| 543 | END SUBROUTINE lim_var_glo2eqv |
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| 544 | SUBROUTINE lim_var_eqv2glo ! Empty routines |
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| 545 | END SUBROUTINE lim_var_eqv2glo |
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| 546 | SUBROUTINE lim_var_salprof ! Empty routines |
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| 547 | END SUBROUTINE lim_var_salprof |
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| 548 | SUBROUTINE lim_var_bv ! Emtpy routines |
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[921] | 549 | END SUBROUTINE lim_var_bv |
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[825] | 550 | SUBROUTINE lim_var_salprof1d ! Emtpy routines |
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| 551 | END SUBROUTINE lim_var_salprof1d |
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[2715] | 552 | #endif |
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[825] | 553 | |
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[2715] | 554 | !!====================================================================== |
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[834] | 555 | END MODULE limvar |
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