[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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[825] | 45 | USE par_oce ! ocean parameters |
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| 46 | USE phycst ! physical constants (ocean directory) |
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[888] | 47 | USE sbc_oce ! Surface boundary condition: ocean fields |
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[2715] | 48 | USE ice ! LIM variables |
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| 49 | USE par_ice ! LIM parameters |
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| 50 | USE dom_ice ! LIM domain |
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| 51 | USE thd_ice ! LIM thermodynamics |
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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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[921] | 54 | |
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[825] | 55 | IMPLICIT NONE |
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| 56 | PRIVATE |
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| 57 | |
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[2715] | 58 | PUBLIC lim_var_agg ! |
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| 59 | PUBLIC lim_var_glo2eqv ! |
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| 60 | PUBLIC lim_var_eqv2glo ! |
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| 61 | PUBLIC lim_var_salprof ! |
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| 62 | PUBLIC lim_var_bv ! |
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| 63 | PUBLIC lim_var_salprof1d ! |
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[825] | 64 | |
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[2715] | 65 | REAL(wp) :: eps20 = 1.e-20_wp ! module constants |
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| 66 | REAL(wp) :: eps16 = 1.e-16_wp ! - - |
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| 67 | REAL(wp) :: eps13 = 1.e-13_wp ! - - |
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| 68 | REAL(wp) :: eps10 = 1.e-10_wp ! - - |
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| 69 | REAL(wp) :: eps06 = 1.e-06_wp ! - - |
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| 70 | REAL(wp) :: zzero = 0.e0 ! - - |
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| 71 | REAL(wp) :: zone = 1.e0 ! - - |
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[825] | 72 | |
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| 73 | !!---------------------------------------------------------------------- |
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[2715] | 74 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
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[1156] | 75 | !! $Id$ |
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[2715] | 76 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[825] | 77 | !!---------------------------------------------------------------------- |
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| 78 | CONTAINS |
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| 79 | |
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[2715] | 80 | SUBROUTINE lim_var_agg( kn ) |
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[921] | 81 | !!------------------------------------------------------------------ |
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| 82 | !! *** ROUTINE lim_var_agg *** |
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[2715] | 83 | !! |
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| 84 | !! ** Purpose : aggregates ice-thickness-category variables to all-ice variables |
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| 85 | !! i.e. it turns VGLO into VAGG |
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[921] | 86 | !! ** Method : |
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| 87 | !! |
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| 88 | !! ** Arguments : n = 1, at_i vt_i only |
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| 89 | !! n = 2 everything |
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| 90 | !! |
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| 91 | !! note : you could add an argument when you need only at_i, vt_i |
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| 92 | !! and when you need everything |
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| 93 | !!------------------------------------------------------------------ |
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[2715] | 94 | INTEGER, INTENT( in ) :: kn ! =1 at_i & vt only ; = what is needed |
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| 95 | ! |
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| 96 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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| 97 | REAL(wp) :: zinda |
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| 98 | !!------------------------------------------------------------------ |
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[825] | 99 | |
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[921] | 100 | !-------------------- |
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| 101 | ! Compute variables |
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| 102 | !-------------------- |
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[2715] | 103 | vt_i (:,:) = 0._wp |
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| 104 | vt_s (:,:) = 0._wp |
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| 105 | at_i (:,:) = 0._wp |
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| 106 | ato_i(:,:) = 1._wp |
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| 107 | ! |
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[921] | 108 | DO jl = 1, jpl |
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| 109 | DO jj = 1, jpj |
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| 110 | DO ji = 1, jpi |
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[2715] | 111 | ! |
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[921] | 112 | vt_i(ji,jj) = vt_i(ji,jj) + v_i(ji,jj,jl) ! ice volume |
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| 113 | vt_s(ji,jj) = vt_s(ji,jj) + v_s(ji,jj,jl) ! snow volume |
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| 114 | at_i(ji,jj) = at_i(ji,jj) + a_i(ji,jj,jl) ! ice concentration |
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[2715] | 115 | ! |
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[921] | 116 | zinda = MAX( zzero , SIGN( zone , at_i(ji,jj) - 0.10 ) ) |
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[2715] | 117 | icethi(ji,jj) = vt_i(ji,jj) / MAX( at_i(ji,jj) , eps16 ) * zinda ! ice thickness |
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[921] | 118 | END DO |
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| 119 | END DO |
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| 120 | END DO |
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[825] | 121 | |
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[921] | 122 | DO jj = 1, jpj |
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| 123 | DO ji = 1, jpi |
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[2715] | 124 | ato_i(ji,jj) = MAX( 1._wp - at_i(ji,jj), 0._wp ) ! open water fraction |
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[921] | 125 | END DO |
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| 126 | END DO |
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[825] | 127 | |
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[2715] | 128 | IF( kn > 1 ) THEN |
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| 129 | et_s (:,:) = 0._wp |
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| 130 | ot_i (:,:) = 0._wp |
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| 131 | smt_i(:,:) = 0._wp |
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| 132 | et_i (:,:) = 0._wp |
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| 133 | ! |
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[921] | 134 | DO jl = 1, jpl |
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| 135 | DO jj = 1, jpj |
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| 136 | DO ji = 1, jpi |
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[2715] | 137 | et_s(ji,jj) = et_s(ji,jj) + e_s(ji,jj,1,jl) ! snow heat content |
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[921] | 138 | zinda = MAX( zzero , SIGN( zone , vt_i(ji,jj) - 0.10 ) ) |
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[2715] | 139 | smt_i(ji,jj) = smt_i(ji,jj) + smv_i(ji,jj,jl) / MAX( vt_i(ji,jj) , eps13 ) * zinda ! ice salinity |
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[921] | 140 | zinda = MAX( zzero , SIGN( zone , at_i(ji,jj) - 0.10 ) ) |
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[2715] | 141 | ot_i(ji,jj) = ot_i(ji,jj) + oa_i(ji,jj,jl) / MAX( at_i(ji,jj) , eps13 ) * zinda ! ice age |
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[921] | 142 | END DO |
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| 143 | END DO |
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| 144 | END DO |
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[2715] | 145 | ! |
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[921] | 146 | DO jl = 1, jpl |
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| 147 | DO jk = 1, nlay_i |
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[2715] | 148 | et_i(:,:) = et_i(:,:) + e_i(:,:,jk,jl) ! ice heat content |
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[921] | 149 | END DO |
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| 150 | END DO |
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[2715] | 151 | ! |
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| 152 | ENDIF |
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| 153 | ! |
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[921] | 154 | END SUBROUTINE lim_var_agg |
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[825] | 155 | |
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| 156 | |
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[921] | 157 | SUBROUTINE lim_var_glo2eqv |
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| 158 | !!------------------------------------------------------------------ |
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[2715] | 159 | !! *** ROUTINE lim_var_glo2eqv *** |
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[921] | 160 | !! |
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[2715] | 161 | !! ** Purpose : computes equivalent variables as function of global variables |
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| 162 | !! i.e. it turns VGLO into VEQV |
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[921] | 163 | !!------------------------------------------------------------------ |
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[2715] | 164 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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| 165 | REAL(wp) :: zq_i, zaaa, zbbb, zccc, zdiscrim ! local scalars |
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| 166 | REAL(wp) :: ztmelts, zindb, zq_s, zfac1, zfac2 ! - - |
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| 167 | !!------------------------------------------------------------------ |
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[825] | 168 | |
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| 169 | !------------------------------------------------------- |
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| 170 | ! Ice thickness, snow thickness, ice salinity, ice age |
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| 171 | !------------------------------------------------------- |
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| 172 | DO jl = 1, jpl |
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| 173 | DO jj = 1, jpj |
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| 174 | DO ji = 1, jpi |
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[2715] | 175 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp,- a_i(ji,jj,jl) ) ) !0 if no ice and 1 if yes |
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| 176 | ht_i(ji,jj,jl) = v_i (ji,jj,jl) / MAX( a_i(ji,jj,jl) , eps10 ) * zindb |
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| 177 | ht_s(ji,jj,jl) = v_s (ji,jj,jl) / MAX( a_i(ji,jj,jl) , eps10 ) * zindb |
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| 178 | o_i(ji,jj,jl) = oa_i(ji,jj,jl) / MAX( a_i(ji,jj,jl) , eps10 ) * zindb |
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[825] | 179 | END DO |
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| 180 | END DO |
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| 181 | END DO |
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| 182 | |
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[2715] | 183 | IF( num_sal == 2 .OR. num_sal == 4 )THEN |
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[921] | 184 | DO jl = 1, jpl |
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| 185 | DO jj = 1, jpj |
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| 186 | DO ji = 1, jpi |
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[2715] | 187 | zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp,- a_i(ji,jj,jl) ) ) !0 if no ice and 1 if yes |
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| 188 | sm_i(ji,jj,jl) = smv_i(ji,jj,jl) / MAX( v_i(ji,jj,jl) , eps10 ) * zindb |
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[921] | 189 | END DO |
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[825] | 190 | END DO |
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| 191 | END DO |
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| 192 | ENDIF |
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| 193 | |
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[2715] | 194 | CALL lim_var_salprof ! salinity profile |
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[825] | 195 | |
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| 196 | !------------------- |
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| 197 | ! Ice temperatures |
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| 198 | !------------------- |
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[868] | 199 | !CDIR NOVERRCHK |
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[825] | 200 | DO jl = 1, jpl |
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[868] | 201 | !CDIR NOVERRCHK |
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[921] | 202 | DO jk = 1, nlay_i |
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[868] | 203 | !CDIR NOVERRCHK |
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[921] | 204 | DO jj = 1, jpj |
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[868] | 205 | !CDIR NOVERRCHK |
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[921] | 206 | DO ji = 1, jpi |
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[2715] | 207 | ! ! Energy of melting q(S,T) [J.m-3] |
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| 208 | zq_i = e_i(ji,jj,jk,jl) / area(ji,jj) / MAX( v_i(ji,jj,jl) , eps06 ) * REAL(nlay_i,wp) |
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| 209 | 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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| 210 | zq_i = zq_i * unit_fac * zindb !convert units |
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| 211 | ztmelts = -tmut * s_i(ji,jj,jk,jl) + rtt ! Ice layer melt temperature |
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| 212 | ! |
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| 213 | zaaa = cpic ! Conversion q(S,T) -> T (second order equation) |
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| 214 | zbbb = ( rcp - cpic ) * ( ztmelts - rtt ) + zq_i / rhoic - lfus |
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[921] | 215 | zccc = lfus * (ztmelts-rtt) |
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[2715] | 216 | zdiscrim = SQRT( MAX(zbbb*zbbb - 4._wp*zaaa*zccc , 0._wp) ) |
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| 217 | t_i(ji,jj,jk,jl) = rtt + zindb *( - zbbb - zdiscrim ) / ( 2.0 *zaaa ) |
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| 218 | 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] | 219 | END DO |
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[825] | 220 | END DO |
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[921] | 221 | END DO |
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[825] | 222 | END DO |
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| 223 | |
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| 224 | !-------------------- |
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| 225 | ! Snow temperatures |
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| 226 | !-------------------- |
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[2715] | 227 | zfac1 = 1._wp / ( rhosn * cpic ) |
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[825] | 228 | zfac2 = lfus / cpic |
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| 229 | DO jl = 1, jpl |
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[921] | 230 | DO jk = 1, nlay_s |
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| 231 | DO jj = 1, jpj |
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| 232 | DO ji = 1, jpi |
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| 233 | !Energy of melting q(S,T) [J.m-3] |
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[2715] | 234 | zq_s = e_s(ji,jj,jk,jl) / ( area(ji,jj) * MAX( v_s(ji,jj,jl) , eps06 ) ) * REAL(nlay_s,wp) |
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| 235 | 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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| 236 | zq_s = zq_s * unit_fac * zindb ! convert units |
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| 237 | ! |
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[921] | 238 | t_s(ji,jj,jk,jl) = rtt + zindb * ( - zfac1 * zq_s + zfac2 ) |
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[2715] | 239 | 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] | 240 | END DO |
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[825] | 241 | END DO |
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[921] | 242 | END DO |
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[825] | 243 | END DO |
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| 244 | |
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| 245 | !------------------- |
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| 246 | ! Mean temperature |
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| 247 | !------------------- |
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[2715] | 248 | tm_i(:,:) = 0._wp |
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[825] | 249 | DO jl = 1, jpl |
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| 250 | DO jk = 1, nlay_i |
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| 251 | DO jj = 1, jpj |
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| 252 | DO ji = 1, jpi |
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[2715] | 253 | zindb = ( 1._wp - MAX( 0._wp , SIGN( 1._wp , -a_i(ji,jj,jl) ) ) ) & |
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| 254 | & * ( 1._wp - MAX( 0._wp , SIGN( 1._wp , -v_i(ji,jj,jl) ) ) ) |
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| 255 | tm_i(ji,jj) = tm_i(ji,jj) + t_i(ji,jj,jk,jl) * v_i(ji,jj,jl) & |
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| 256 | & / ( REAL(nlay_i,wp) * MAX( vt_i(ji,jj) , eps10 ) ) |
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[825] | 257 | END DO |
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| 258 | END DO |
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| 259 | END DO |
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| 260 | END DO |
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[2715] | 261 | ! |
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[825] | 262 | END SUBROUTINE lim_var_glo2eqv |
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| 263 | |
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| 264 | |
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| 265 | SUBROUTINE lim_var_eqv2glo |
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[921] | 266 | !!------------------------------------------------------------------ |
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[2715] | 267 | !! *** ROUTINE lim_var_eqv2glo *** |
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| 268 | !! |
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| 269 | !! ** Purpose : computes global variables as function of equivalent variables |
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| 270 | !! i.e. it turns VEQV into VGLO |
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[921] | 271 | !! ** Method : |
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| 272 | !! |
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[2715] | 273 | !! ** History : (01-2006) Martin Vancoppenolle, UCL-ASTR |
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[921] | 274 | !!------------------------------------------------------------------ |
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[2715] | 275 | ! |
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[921] | 276 | v_i(:,:,:) = ht_i(:,:,:) * a_i(:,:,:) |
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| 277 | v_s(:,:,:) = ht_s(:,:,:) * a_i(:,:,:) |
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| 278 | smv_i(:,:,:) = sm_i(:,:,:) * v_i(:,:,:) |
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| 279 | oa_i (:,:,:) = o_i (:,:,:) * a_i(:,:,:) |
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[2715] | 280 | ! |
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[921] | 281 | END SUBROUTINE lim_var_eqv2glo |
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[825] | 282 | |
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| 283 | |
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[921] | 284 | SUBROUTINE lim_var_salprof |
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| 285 | !!------------------------------------------------------------------ |
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[2715] | 286 | !! *** ROUTINE lim_var_salprof *** |
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[921] | 287 | !! |
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[2715] | 288 | !! ** Purpose : computes salinity profile in function of bulk salinity |
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| 289 | !! |
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[921] | 290 | !! ** Method : If bulk salinity greater than s_i_1, |
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| 291 | !! the profile is assumed to be constant (S_inf) |
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| 292 | !! If bulk salinity lower than s_i_0, |
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| 293 | !! the profile is linear with 0 at the surface (S_zero) |
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| 294 | !! If it is between s_i_0 and s_i_1, it is a |
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| 295 | !! alpha-weighted linear combination of s_inf and s_zero |
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| 296 | !! |
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| 297 | !! ** References : Vancoppenolle et al., 2007 (in preparation) |
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| 298 | !!------------------------------------------------------------------ |
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[2777] | 299 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
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| 300 | USE wrk_nemo, ONLY: wrk_3d_3, wrk_3d_4 |
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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 | ! |
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| 305 | REAL(wp), POINTER, DIMENSION(:,:,:) :: z_slope_s, zalpha ! 3D pointer |
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| 306 | !!------------------------------------------------------------------ |
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[825] | 307 | |
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[2777] | 308 | IF( wrk_in_use( 3, 3,4 ) ) THEN |
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[2715] | 309 | CALL ctl_stop( 'lim_var_salprof: requested workspace arrays unavailable' ) ; RETURN |
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| 310 | END IF |
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[825] | 311 | |
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[2777] | 312 | z_slope_s => wrk_3d_3(:,:,1:jpl) ! slope of the salinity profile |
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| 313 | zalpha => wrk_3d_4(:,:,1:jpl) ! weight factor for s between s_i_0 and s_i_1 |
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[825] | 314 | |
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| 315 | !--------------------------------------- |
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| 316 | ! Vertically constant, constant in time |
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| 317 | !--------------------------------------- |
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[2715] | 318 | IF( num_sal == 1 ) s_i(:,:,:,:) = bulk_sal |
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[825] | 319 | |
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| 320 | !----------------------------------- |
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| 321 | ! Salinity profile, varying in time |
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| 322 | !----------------------------------- |
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| 323 | |
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[2715] | 324 | IF( num_sal == 2 .OR. num_sal == 4 ) THEN |
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| 325 | ! |
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[825] | 326 | DO jk = 1, nlay_i |
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| 327 | s_i(:,:,jk,:) = sm_i(:,:,:) |
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[2715] | 328 | END DO |
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| 329 | ! |
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| 330 | DO jl = 1, jpl ! Slope of the linear profile |
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[825] | 331 | DO jj = 1, jpj |
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| 332 | DO ji = 1, jpi |
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[2715] | 333 | 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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| 334 | END DO |
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| 335 | END DO |
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| 336 | END DO |
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| 337 | ! |
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| 338 | dummy_fac0 = 1._wp / ( s_i_0 - s_i_1 ) ! Weighting factor between zs_zero and zs_inf |
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[825] | 339 | dummy_fac1 = s_i_1 / ( s_i_1 - s_i_0 ) |
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| 340 | |
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[2715] | 341 | zalpha(:,:,:) = 0._wp |
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[825] | 342 | DO jl = 1, jpl |
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| 343 | DO jj = 1, jpj |
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| 344 | DO ji = 1, jpi |
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| 345 | ! zind0 = 1 if sm_i le s_i_0 and 0 otherwise |
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| 346 | zind0 = MAX( 0.0 , SIGN( 1.0 , s_i_0 - sm_i(ji,jj,jl) ) ) |
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| 347 | ! zind01 = 1 if sm_i is between s_i_0 and s_i_1 and 0 othws |
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[2715] | 348 | zind01 = ( 1.0 - zind0 ) * MAX( 0.0 , SIGN( 1.0 , s_i_1 - sm_i(ji,jj,jl) ) ) |
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[888] | 349 | ! If 2.sm_i GE sss_m then zindbal = 1 |
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[2715] | 350 | zindbal = MAX( 0.0 , SIGN( 1.0 , 2. * sm_i(ji,jj,jl) - sss_m(ji,jj) ) ) |
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| 351 | zalpha(ji,jj,jl) = zind0 * 1.0 + zind01 * ( sm_i(ji,jj,jl) * dummy_fac0 + dummy_fac1 ) |
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[825] | 352 | zalpha(ji,jj,jl) = zalpha(ji,jj,jl) * ( 1.0 - zindbal ) |
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| 353 | END DO |
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| 354 | END DO |
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| 355 | END DO |
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| 356 | |
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[2715] | 357 | dummy_fac = 1._wp / nlay_i ! Computation of the profile |
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[825] | 358 | DO jl = 1, jpl |
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| 359 | DO jk = 1, nlay_i |
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| 360 | DO jj = 1, jpj |
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| 361 | DO ji = 1, jpi |
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[2715] | 362 | ! ! linear profile with 0 at the surface |
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| 363 | 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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| 364 | ! ! weighting the profile |
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| 365 | 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] | 366 | END DO ! ji |
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| 367 | END DO ! jj |
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| 368 | END DO ! jk |
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| 369 | END DO ! jl |
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| 370 | |
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| 371 | ENDIF ! num_sal |
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| 372 | |
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| 373 | !------------------------------------------------------- |
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| 374 | ! Vertically varying salinity profile, constant in time |
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| 375 | !------------------------------------------------------- |
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[921] | 376 | |
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[2715] | 377 | IF( num_sal == 3 ) THEN ! Schwarzacher (1959) multiyear salinity profile (mean = 2.30) |
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| 378 | ! |
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| 379 | sm_i(:,:,:) = 2.30_wp |
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| 380 | ! |
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[825] | 381 | DO jl = 1, jpl |
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[868] | 382 | !CDIR NOVERRCHK |
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[825] | 383 | DO jk = 1, nlay_i |
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[2715] | 384 | zargtemp = ( REAL(jk,wp) - 0.5_wp ) / REAL(nlay_i,wp) |
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| 385 | zsal = 1.6_wp * ( 1._wp - COS( rpi * zargtemp**(0.407_wp/(0.573_wp+zargtemp)) ) ) |
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| 386 | s_i(:,:,jk,jl) = zsal |
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| 387 | END DO |
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| 388 | END DO |
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[825] | 389 | |
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| 390 | ENDIF ! num_sal |
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[2715] | 391 | ! |
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[2777] | 392 | IF( wrk_not_released(3, 3,4) ) CALL ctl_stop('lim_var_salprof: failed to release workspace arrays.') |
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[2715] | 393 | ! |
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[825] | 394 | END SUBROUTINE lim_var_salprof |
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| 395 | |
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| 396 | |
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| 397 | SUBROUTINE lim_var_bv |
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[921] | 398 | !!------------------------------------------------------------------ |
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[2715] | 399 | !! *** ROUTINE lim_var_bv *** |
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[921] | 400 | !! |
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[2715] | 401 | !! ** Purpose : computes mean brine volume (%) in sea ice |
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| 402 | !! |
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[921] | 403 | !! ** Method : e = - 0.054 * S (ppt) / T (C) |
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| 404 | !! |
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[2715] | 405 | !! References : Vancoppenolle et al., JGR, 2007 |
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[921] | 406 | !!------------------------------------------------------------------ |
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[2715] | 407 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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| 408 | REAL(wp) :: zbvi, zindb ! local scalars |
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| 409 | !!------------------------------------------------------------------ |
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| 410 | ! |
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| 411 | bv_i(:,:) = 0._wp |
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[921] | 412 | DO jl = 1, jpl |
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| 413 | DO jk = 1, nlay_i |
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| 414 | DO jj = 1, jpj |
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| 415 | DO ji = 1, jpi |
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[2715] | 416 | 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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| 417 | zbvi = - zindb * tmut * s_i(ji,jj,jk,jl) / MIN( t_i(ji,jj,jk,jl) - 273.15 , eps13 ) & |
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| 418 | & * v_i(ji,jj,jl) / REAL(nlay_i,wp) |
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| 419 | bv_i(ji,jj) = bv_i(ji,jj) + zbvi / MAX( vt_i(ji,jj) , eps13 ) |
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[921] | 420 | END DO |
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| 421 | END DO |
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| 422 | END DO |
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| 423 | END DO |
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[2715] | 424 | ! |
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[921] | 425 | END SUBROUTINE lim_var_bv |
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[825] | 426 | |
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| 427 | |
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[2715] | 428 | SUBROUTINE lim_var_salprof1d( kideb, kiut ) |
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[825] | 429 | !!------------------------------------------------------------------- |
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| 430 | !! *** ROUTINE lim_thd_salprof1d *** |
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| 431 | !! |
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| 432 | !! ** Purpose : 1d computation of the sea ice salinity profile |
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[2715] | 433 | !! Works with 1d vectors and is used by thermodynamic modules |
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[825] | 434 | !!------------------------------------------------------------------- |
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[2777] | 435 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
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| 436 | USE wrk_nemo, ONLY: wrk_1d_4 |
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[2715] | 437 | INTEGER, INTENT(in) :: kideb, kiut ! thickness category index |
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| 438 | ! |
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| 439 | INTEGER :: ji, jk ! dummy loop indices |
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| 440 | INTEGER :: zji, zjj ! local integers |
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| 441 | REAL(wp) :: dummy_fac0, dummy_fac1, dummy_fac2, zargtemp, zsal ! local scalars |
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| 442 | REAL(wp) :: zalpha, zind0, zind01, zindbal, zs_zero ! - - |
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| 443 | ! |
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| 444 | REAL(wp), POINTER, DIMENSION(:) :: z_slope_s |
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| 445 | !!--------------------------------------------------------------------- |
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[825] | 446 | |
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[2777] | 447 | IF( wrk_in_use(1, 4) ) THEN |
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[2715] | 448 | CALL ctl_stop('lim_var_salprof1d : requestead workspace arrays unavailable.') ; RETURN |
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| 449 | END IF |
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| 450 | ! Set-up pointers to sub-arrays of workspace arrays |
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[2777] | 451 | z_slope_s => wrk_1d_4 (1:jpij) |
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[825] | 452 | |
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| 453 | !--------------------------------------- |
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| 454 | ! Vertically constant, constant in time |
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| 455 | !--------------------------------------- |
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[2715] | 456 | IF( num_sal == 1 ) s_i_b(:,:) = bulk_sal |
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[825] | 457 | |
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| 458 | !------------------------------------------------------ |
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| 459 | ! Vertically varying salinity profile, varying in time |
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| 460 | !------------------------------------------------------ |
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| 461 | |
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[2715] | 462 | IF( num_sal == 2 .OR. num_sal == 4 ) THEN |
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| 463 | ! |
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| 464 | DO ji = kideb, kiut ! Slope of the linear profile zs_zero |
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| 465 | z_slope_s(ji) = 2._wp * sm_i_b(ji) / MAX( 0.01 , ht_i_b(ji) ) |
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| 466 | END DO |
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[825] | 467 | |
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| 468 | ! Weighting factor between zs_zero and zs_inf |
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| 469 | !--------------------------------------------- |
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[2715] | 470 | dummy_fac0 = 1._wp / ( s_i_0 - s_i_1 ) |
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[825] | 471 | dummy_fac1 = s_i_1 / ( s_i_1 - s_i_0 ) |
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[2715] | 472 | dummy_fac2 = 1._wp / REAL(nlay_i,wp) |
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[825] | 473 | |
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[868] | 474 | !CDIR NOVERRCHK |
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[825] | 475 | DO jk = 1, nlay_i |
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[868] | 476 | !CDIR NOVERRCHK |
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[825] | 477 | DO ji = kideb, kiut |
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[2715] | 478 | zji = MOD( npb(ji) - 1 , jpi ) + 1 |
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| 479 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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[825] | 480 | ! zind0 = 1 if sm_i le s_i_0 and 0 otherwise |
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[2715] | 481 | zind0 = MAX( 0._wp , SIGN( 1._wp , s_i_0 - sm_i_b(ji) ) ) |
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[825] | 482 | ! zind01 = 1 if sm_i is between s_i_0 and s_i_1 and 0 othws |
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[2715] | 483 | zind01 = ( 1._wp - zind0 ) * MAX( 0._wp , SIGN( 1._wp , s_i_1 - sm_i_b(ji) ) ) |
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[888] | 484 | ! if 2.sm_i GE sss_m then zindbal = 1 |
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[2715] | 485 | zindbal = MAX( 0._wp , SIGN( 1._wp , 2._wp * sm_i_b(ji) - sss_m(zji,zjj) ) ) |
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| 486 | ! |
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| 487 | zalpha = ( zind0 + zind01 * ( sm_i_b(ji) * dummy_fac0 + dummy_fac1 ) ) * ( 1.0 - zindbal ) |
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| 488 | ! |
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| 489 | zs_zero = z_slope_s(ji) * ( REAL(jk,wp) - 0.5_wp ) * ht_i_b(ji) * dummy_fac2 |
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[825] | 490 | ! weighting the profile |
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[2715] | 491 | s_i_b(ji,jk) = zalpha * zs_zero + ( 1._wp - zalpha ) * sm_i_b(ji) |
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[825] | 492 | END DO ! ji |
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| 493 | END DO ! jk |
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| 494 | |
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| 495 | ENDIF ! num_sal |
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| 496 | |
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| 497 | !------------------------------------------------------- |
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| 498 | ! Vertically varying salinity profile, constant in time |
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| 499 | !------------------------------------------------------- |
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| 500 | |
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[2715] | 501 | IF( num_sal == 3 ) THEN ! Schwarzacher (1959) multiyear salinity profile (mean = 2.30) |
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| 502 | ! |
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| 503 | sm_i_b(:) = 2.30_wp |
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| 504 | ! |
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[868] | 505 | !CDIR NOVERRCHK |
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[2715] | 506 | DO jk = 1, nlay_i |
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| 507 | zargtemp = ( REAL(jk,wp) - 0.5_wp ) / REAL(nlay_i,wp) |
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| 508 | zsal = 1.6_wp * ( 1._wp - COS( rpi * zargtemp**(0.407_wp/(0.573_wp+zargtemp)) ) ) |
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| 509 | DO ji = kideb, kiut |
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| 510 | s_i_b(ji,jk) = zsal |
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| 511 | END DO |
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| 512 | END DO |
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| 513 | ! |
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| 514 | ENDIF |
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| 515 | ! |
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[2777] | 516 | IF( wrk_not_released(1, 4) ) CALL ctl_stop( 'lim_var_salprof1d : failed to release workspace arrays' ) |
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[2715] | 517 | ! |
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[825] | 518 | END SUBROUTINE lim_var_salprof1d |
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| 519 | |
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| 520 | #else |
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[2715] | 521 | !!---------------------------------------------------------------------- |
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| 522 | !! Default option Dummy module NO LIM3 sea-ice model |
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| 523 | !!---------------------------------------------------------------------- |
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[825] | 524 | CONTAINS |
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| 525 | SUBROUTINE lim_var_agg ! Empty routines |
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| 526 | END SUBROUTINE lim_var_agg |
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| 527 | SUBROUTINE lim_var_glo2eqv ! Empty routines |
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| 528 | END SUBROUTINE lim_var_glo2eqv |
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| 529 | SUBROUTINE lim_var_eqv2glo ! Empty routines |
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| 530 | END SUBROUTINE lim_var_eqv2glo |
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| 531 | SUBROUTINE lim_var_salprof ! Empty routines |
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| 532 | END SUBROUTINE lim_var_salprof |
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| 533 | SUBROUTINE lim_var_bv ! Emtpy routines |
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[921] | 534 | END SUBROUTINE lim_var_bv |
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[825] | 535 | SUBROUTINE lim_var_salprof1d ! Emtpy routines |
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| 536 | END SUBROUTINE lim_var_salprof1d |
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[2715] | 537 | #endif |
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[825] | 538 | |
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[2715] | 539 | !!====================================================================== |
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[834] | 540 | END MODULE limvar |
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