[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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[5123] | 32 | !! 3.4 ! 2011-02 (G. Madec) dynamical allocation |
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[2715] | 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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[3625] | 38 | USE par_oce ! ocean parameters |
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| 39 | USE phycst ! physical constants (ocean directory) |
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| 40 | USE sbc_oce ! Surface boundary condition: ocean fields |
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| 41 | USE ice ! ice variables |
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| 42 | USE thd_ice ! ice variables (thermodynamics) |
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| 43 | USE dom_ice ! ice domain |
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| 44 | USE in_out_manager ! I/O manager |
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| 45 | USE lib_mpp ! MPP library |
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| 46 | USE wrk_nemo ! work arrays |
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| 47 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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[921] | 48 | |
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[825] | 49 | IMPLICIT NONE |
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| 50 | PRIVATE |
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| 51 | |
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[5123] | 52 | PUBLIC lim_var_agg |
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| 53 | PUBLIC lim_var_glo2eqv |
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| 54 | PUBLIC lim_var_eqv2glo |
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| 55 | PUBLIC lim_var_salprof |
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| 56 | PUBLIC lim_var_icetm |
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| 57 | PUBLIC lim_var_bv |
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| 58 | PUBLIC lim_var_salprof1d |
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| 59 | PUBLIC lim_var_zapsmall |
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| 60 | PUBLIC lim_var_itd |
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[825] | 61 | |
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| 62 | !!---------------------------------------------------------------------- |
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[5123] | 63 | !! NEMO/LIM3 3.5 , UCL - NEMO Consortium (2011) |
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[1156] | 64 | !! $Id$ |
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[2715] | 65 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[825] | 66 | !!---------------------------------------------------------------------- |
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| 67 | CONTAINS |
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| 68 | |
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[2715] | 69 | SUBROUTINE lim_var_agg( kn ) |
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[921] | 70 | !!------------------------------------------------------------------ |
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| 71 | !! *** ROUTINE lim_var_agg *** |
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[2715] | 72 | !! |
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| 73 | !! ** Purpose : aggregates ice-thickness-category variables to all-ice variables |
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| 74 | !! i.e. it turns VGLO into VAGG |
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[921] | 75 | !! ** Method : |
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| 76 | !! |
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| 77 | !! ** Arguments : n = 1, at_i vt_i only |
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| 78 | !! n = 2 everything |
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| 79 | !! |
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| 80 | !! note : you could add an argument when you need only at_i, vt_i |
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| 81 | !! and when you need everything |
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| 82 | !!------------------------------------------------------------------ |
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[2715] | 83 | INTEGER, INTENT( in ) :: kn ! =1 at_i & vt only ; = what is needed |
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| 84 | ! |
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| 85 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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| 86 | !!------------------------------------------------------------------ |
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[825] | 87 | |
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[921] | 88 | !-------------------- |
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| 89 | ! Compute variables |
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| 90 | !-------------------- |
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[2715] | 91 | vt_i (:,:) = 0._wp |
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| 92 | vt_s (:,:) = 0._wp |
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| 93 | at_i (:,:) = 0._wp |
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| 94 | ato_i(:,:) = 1._wp |
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| 95 | ! |
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[921] | 96 | DO jl = 1, jpl |
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| 97 | DO jj = 1, jpj |
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| 98 | DO ji = 1, jpi |
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[2715] | 99 | ! |
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[921] | 100 | vt_i(ji,jj) = vt_i(ji,jj) + v_i(ji,jj,jl) ! ice volume |
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| 101 | vt_s(ji,jj) = vt_s(ji,jj) + v_s(ji,jj,jl) ! snow volume |
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| 102 | at_i(ji,jj) = at_i(ji,jj) + a_i(ji,jj,jl) ! ice concentration |
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[2715] | 103 | ! |
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[4990] | 104 | rswitch = MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) - epsi10 ) ) |
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| 105 | icethi(ji,jj) = vt_i(ji,jj) / MAX( at_i(ji,jj) , epsi10 ) * rswitch ! ice thickness |
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[921] | 106 | END DO |
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| 107 | END DO |
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| 108 | END DO |
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[825] | 109 | |
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[921] | 110 | DO jj = 1, jpj |
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| 111 | DO ji = 1, jpi |
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[2715] | 112 | ato_i(ji,jj) = MAX( 1._wp - at_i(ji,jj), 0._wp ) ! open water fraction |
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[921] | 113 | END DO |
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| 114 | END DO |
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[825] | 115 | |
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[2715] | 116 | IF( kn > 1 ) THEN |
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| 117 | et_s (:,:) = 0._wp |
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| 118 | ot_i (:,:) = 0._wp |
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| 119 | smt_i(:,:) = 0._wp |
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| 120 | et_i (:,:) = 0._wp |
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| 121 | ! |
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[921] | 122 | DO jl = 1, jpl |
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| 123 | DO jj = 1, jpj |
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| 124 | DO ji = 1, jpi |
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[5123] | 125 | et_s(ji,jj) = et_s(ji,jj) + e_s(ji,jj,1,jl) ! snow heat content |
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[5167] | 126 | rswitch = MAX( 0._wp , SIGN( 1._wp , vt_i(ji,jj) - epsi20 ) ) |
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| 127 | smt_i(ji,jj) = smt_i(ji,jj) + smv_i(ji,jj,jl) / MAX( vt_i(ji,jj) , epsi20 ) * rswitch ! ice salinity |
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| 128 | rswitch = MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) - epsi20 ) ) |
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| 129 | ot_i(ji,jj) = ot_i(ji,jj) + oa_i(ji,jj,jl) / MAX( at_i(ji,jj) , epsi20 ) * rswitch ! ice age |
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[921] | 130 | END DO |
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| 131 | END DO |
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| 132 | END DO |
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[2715] | 133 | ! |
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[921] | 134 | DO jl = 1, jpl |
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| 135 | DO jk = 1, nlay_i |
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[2715] | 136 | et_i(:,:) = et_i(:,:) + e_i(:,:,jk,jl) ! ice heat content |
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[921] | 137 | END DO |
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| 138 | END DO |
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[2715] | 139 | ! |
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| 140 | ENDIF |
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| 141 | ! |
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[921] | 142 | END SUBROUTINE lim_var_agg |
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[825] | 143 | |
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| 144 | |
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[921] | 145 | SUBROUTINE lim_var_glo2eqv |
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| 146 | !!------------------------------------------------------------------ |
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[2715] | 147 | !! *** ROUTINE lim_var_glo2eqv *** |
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[921] | 148 | !! |
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[2715] | 149 | !! ** Purpose : computes equivalent variables as function of global variables |
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| 150 | !! i.e. it turns VGLO into VEQV |
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[921] | 151 | !!------------------------------------------------------------------ |
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[2715] | 152 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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| 153 | REAL(wp) :: zq_i, zaaa, zbbb, zccc, zdiscrim ! local scalars |
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[4990] | 154 | REAL(wp) :: ztmelts, zq_s, zfac1, zfac2 ! - - |
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[2715] | 155 | !!------------------------------------------------------------------ |
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[825] | 156 | |
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| 157 | !------------------------------------------------------- |
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| 158 | ! Ice thickness, snow thickness, ice salinity, ice age |
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| 159 | !------------------------------------------------------- |
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| 160 | DO jl = 1, jpl |
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| 161 | DO jj = 1, jpj |
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| 162 | DO ji = 1, jpi |
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[5167] | 163 | rswitch = MAX( 0._wp , SIGN( 1._wp, a_i(ji,jj,jl) - epsi20 ) ) !0 if no ice and 1 if yes |
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| 164 | ht_i(ji,jj,jl) = v_i (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi20 ) * rswitch |
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[6851] | 165 | END DO |
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| 166 | END DO |
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| 167 | END DO |
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| 168 | ! Force the upper limit of ht_i to always be < hi_max (99 m). |
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| 169 | DO jj = 1, jpj |
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| 170 | DO ji = 1, jpi |
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| 171 | rswitch = MAX( 0._wp , SIGN( 1._wp, ht_i(ji,jj,jpl) - epsi20 ) ) |
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| 172 | ht_i(ji,jj,jpl) = MIN( ht_i(ji,jj,jpl) , hi_max(jpl) ) |
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| 173 | a_i (ji,jj,jpl) = v_i(ji,jj,jpl) / MAX( ht_i(ji,jj,jpl) , epsi20 ) * rswitch |
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| 174 | END DO |
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| 175 | END DO |
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| 176 | |
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| 177 | DO jl = 1, jpl |
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| 178 | DO jj = 1, jpj |
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| 179 | DO ji = 1, jpi |
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| 180 | rswitch = MAX( 0._wp , SIGN( 1._wp, a_i(ji,jj,jl) - epsi20 ) ) !0 if no ice and 1 if yes |
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[5167] | 181 | ht_s(ji,jj,jl) = v_s (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi20 ) * rswitch |
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| 182 | o_i(ji,jj,jl) = oa_i(ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi20 ) * rswitch |
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[825] | 183 | END DO |
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| 184 | END DO |
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| 185 | END DO |
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[6851] | 186 | |
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[5123] | 187 | IF( nn_icesal == 2 )THEN |
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[921] | 188 | DO jl = 1, jpl |
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| 189 | DO jj = 1, jpj |
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| 190 | DO ji = 1, jpi |
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[5167] | 191 | rswitch = MAX( 0._wp , SIGN( 1._wp, v_i(ji,jj,jl) - epsi20 ) ) !0 if no ice and 1 if yes |
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| 192 | sm_i(ji,jj,jl) = smv_i(ji,jj,jl) / MAX( v_i(ji,jj,jl) , epsi20 ) * rswitch |
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[5202] | 193 | ! ! bounding salinity |
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| 194 | sm_i(ji,jj,jl) = MAX( sm_i(ji,jj,jl), rn_simin ) |
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[921] | 195 | END DO |
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[825] | 196 | END DO |
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| 197 | END DO |
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| 198 | ENDIF |
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| 199 | |
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[2715] | 200 | CALL lim_var_salprof ! salinity profile |
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[825] | 201 | |
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| 202 | !------------------- |
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| 203 | ! Ice temperatures |
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| 204 | !------------------- |
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| 205 | DO jl = 1, jpl |
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[921] | 206 | DO jk = 1, nlay_i |
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| 207 | DO jj = 1, jpj |
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| 208 | DO ji = 1, jpi |
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[2715] | 209 | ! ! Energy of melting q(S,T) [J.m-3] |
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[5134] | 210 | rswitch = MAX( 0.0 , SIGN( 1.0 , v_i(ji,jj,jl) - epsi20 ) ) ! rswitch = 0 if no ice and 1 if yes |
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[5123] | 211 | zq_i = rswitch * e_i(ji,jj,jk,jl) / MAX( v_i(ji,jj,jl) , epsi20 ) * REAL(nlay_i,wp) |
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| 212 | ztmelts = -tmut * s_i(ji,jj,jk,jl) + rt0 ! Ice layer melt temperature |
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[2715] | 213 | ! |
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| 214 | zaaa = cpic ! Conversion q(S,T) -> T (second order equation) |
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[5123] | 215 | zbbb = ( rcp - cpic ) * ( ztmelts - rt0 ) + zq_i * r1_rhoic - lfus |
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| 216 | zccc = lfus * (ztmelts-rt0) |
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[2715] | 217 | zdiscrim = SQRT( MAX(zbbb*zbbb - 4._wp*zaaa*zccc , 0._wp) ) |
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[5123] | 218 | t_i(ji,jj,jk,jl) = rt0 + rswitch *( - zbbb - zdiscrim ) / ( 2.0 *zaaa ) |
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[5202] | 219 | t_i(ji,jj,jk,jl) = MIN( ztmelts, MAX( rt0 - 100._wp, t_i(ji,jj,jk,jl) ) ) ! -100 < t_i < ztmelts |
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[921] | 220 | END DO |
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[825] | 221 | END DO |
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[921] | 222 | END DO |
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[825] | 223 | END DO |
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| 224 | |
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| 225 | !-------------------- |
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| 226 | ! Snow temperatures |
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| 227 | !-------------------- |
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[2715] | 228 | zfac1 = 1._wp / ( rhosn * cpic ) |
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[825] | 229 | zfac2 = lfus / cpic |
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| 230 | DO jl = 1, jpl |
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[921] | 231 | DO jk = 1, nlay_s |
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| 232 | DO jj = 1, jpj |
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| 233 | DO ji = 1, jpi |
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| 234 | !Energy of melting q(S,T) [J.m-3] |
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[5134] | 235 | rswitch = MAX( 0._wp , SIGN( 1._wp , v_s(ji,jj,jl) - epsi20 ) ) ! rswitch = 0 if no ice and 1 if yes |
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[5123] | 236 | zq_s = rswitch * e_s(ji,jj,jk,jl) / MAX( v_s(ji,jj,jl) , epsi20 ) * REAL(nlay_s,wp) |
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[2715] | 237 | ! |
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[5123] | 238 | t_s(ji,jj,jk,jl) = rt0 + rswitch * ( - zfac1 * zq_s + zfac2 ) |
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[5202] | 239 | t_s(ji,jj,jk,jl) = MIN( rt0, MAX( rt0 - 100._wp , t_s(ji,jj,jk,jl) ) ) ! -100 < t_s < rt0 |
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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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[5167] | 248 | vt_i (:,:) = 0._wp |
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| 249 | DO jl = 1, jpl |
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| 250 | vt_i(:,:) = vt_i(:,:) + v_i(:,:,jl) |
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| 251 | END DO |
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| 252 | |
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[2715] | 253 | tm_i(:,:) = 0._wp |
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[825] | 254 | DO jl = 1, jpl |
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| 255 | DO jk = 1, nlay_i |
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| 256 | DO jj = 1, jpj |
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| 257 | DO ji = 1, jpi |
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[5179] | 258 | rswitch = MAX( 0._wp , SIGN( 1._wp , vt_i(ji,jj) - epsi10 ) ) |
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| 259 | tm_i(ji,jj) = tm_i(ji,jj) + r1_nlay_i * rswitch * ( t_i(ji,jj,jk,jl) - rt0 ) * v_i(ji,jj,jl) & |
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| 260 | & / MAX( vt_i(ji,jj) , epsi10 ) |
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[825] | 261 | END DO |
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| 262 | END DO |
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| 263 | END DO |
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| 264 | END DO |
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[5179] | 265 | tm_i = tm_i + rt0 |
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[2715] | 266 | ! |
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[825] | 267 | END SUBROUTINE lim_var_glo2eqv |
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| 268 | |
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| 269 | |
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| 270 | SUBROUTINE lim_var_eqv2glo |
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[921] | 271 | !!------------------------------------------------------------------ |
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[2715] | 272 | !! *** ROUTINE lim_var_eqv2glo *** |
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| 273 | !! |
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| 274 | !! ** Purpose : computes global variables as function of equivalent variables |
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| 275 | !! i.e. it turns VEQV into VGLO |
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[921] | 276 | !! ** Method : |
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| 277 | !! |
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[2715] | 278 | !! ** History : (01-2006) Martin Vancoppenolle, UCL-ASTR |
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[921] | 279 | !!------------------------------------------------------------------ |
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[2715] | 280 | ! |
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[921] | 281 | v_i(:,:,:) = ht_i(:,:,:) * a_i(:,:,:) |
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| 282 | v_s(:,:,:) = ht_s(:,:,:) * a_i(:,:,:) |
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| 283 | smv_i(:,:,:) = sm_i(:,:,:) * v_i(:,:,:) |
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[2715] | 284 | ! |
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[921] | 285 | END SUBROUTINE lim_var_eqv2glo |
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[825] | 286 | |
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| 287 | |
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[921] | 288 | SUBROUTINE lim_var_salprof |
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| 289 | !!------------------------------------------------------------------ |
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[2715] | 290 | !! *** ROUTINE lim_var_salprof *** |
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[921] | 291 | !! |
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[2715] | 292 | !! ** Purpose : computes salinity profile in function of bulk salinity |
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| 293 | !! |
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[5123] | 294 | !! ** Method : If bulk salinity greater than zsi1, |
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[921] | 295 | !! the profile is assumed to be constant (S_inf) |
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[5123] | 296 | !! If bulk salinity lower than zsi0, |
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[921] | 297 | !! the profile is linear with 0 at the surface (S_zero) |
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[5123] | 298 | !! If it is between zsi0 and zsi1, it is a |
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[921] | 299 | !! alpha-weighted linear combination of s_inf and s_zero |
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| 300 | !! |
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[5123] | 301 | !! ** References : Vancoppenolle et al., 2007 |
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[921] | 302 | !!------------------------------------------------------------------ |
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[2715] | 303 | INTEGER :: ji, jj, jk, jl ! dummy loop index |
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[5123] | 304 | REAL(wp) :: zfac0, zfac1, zsal |
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| 305 | REAL(wp) :: zswi0, zswi01, zargtemp , zs_zero |
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| 306 | REAL(wp), POINTER, DIMENSION(:,:,:) :: z_slope_s, zalpha |
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| 307 | REAL(wp), PARAMETER :: zsi0 = 3.5_wp |
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| 308 | REAL(wp), PARAMETER :: zsi1 = 4.5_wp |
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[2715] | 309 | !!------------------------------------------------------------------ |
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[825] | 310 | |
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[3294] | 311 | CALL wrk_alloc( jpi, jpj, jpl, z_slope_s, zalpha ) |
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[825] | 312 | |
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| 313 | !--------------------------------------- |
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| 314 | ! Vertically constant, constant in time |
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| 315 | !--------------------------------------- |
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[6851] | 316 | IF( nn_icesal == 1 ) THEN |
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| 317 | s_i (:,:,:,:) = rn_icesal |
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| 318 | sm_i(:,:,:) = rn_icesal |
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| 319 | ENDIF |
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[825] | 320 | |
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| 321 | !----------------------------------- |
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| 322 | ! Salinity profile, varying in time |
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| 323 | !----------------------------------- |
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[5123] | 324 | IF( nn_icesal == 2 ) THEN |
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[2715] | 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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[5167] | 333 | rswitch = MAX( 0._wp , SIGN( 1._wp , ht_i(ji,jj,jl) - epsi20 ) ) |
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| 334 | z_slope_s(ji,jj,jl) = rswitch * 2._wp * sm_i(ji,jj,jl) / MAX( epsi20 , ht_i(ji,jj,jl) ) |
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[2715] | 335 | END DO |
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| 336 | END DO |
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| 337 | END DO |
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| 338 | ! |
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[5123] | 339 | zfac0 = 1._wp / ( zsi0 - zsi1 ) ! Weighting factor between zs_zero and zs_inf |
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| 340 | zfac1 = zsi1 / ( zsi1 - zsi0 ) |
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[3625] | 341 | ! |
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[2715] | 342 | zalpha(:,:,:) = 0._wp |
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[825] | 343 | DO jl = 1, jpl |
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| 344 | DO jj = 1, jpj |
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| 345 | DO ji = 1, jpi |
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[5123] | 346 | ! zswi0 = 1 if sm_i le zsi0 and 0 otherwise |
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| 347 | zswi0 = MAX( 0._wp , SIGN( 1._wp , zsi0 - sm_i(ji,jj,jl) ) ) |
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| 348 | ! zswi01 = 1 if sm_i is between zsi0 and zsi1 and 0 othws |
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| 349 | zswi01 = ( 1._wp - zswi0 ) * MAX( 0._wp , SIGN( 1._wp , zsi1 - sm_i(ji,jj,jl) ) ) |
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| 350 | ! If 2.sm_i GE sss_m then rswitch = 1 |
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[4333] | 351 | ! this is to force a constant salinity profile in the Baltic Sea |
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[5123] | 352 | rswitch = MAX( 0._wp , SIGN( 1._wp , 2._wp * sm_i(ji,jj,jl) - sss_m(ji,jj) ) ) |
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| 353 | zalpha(ji,jj,jl) = zswi0 + zswi01 * ( sm_i(ji,jj,jl) * zfac0 + zfac1 ) |
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| 354 | zalpha(ji,jj,jl) = zalpha(ji,jj,jl) * ( 1._wp - rswitch ) |
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[825] | 355 | END DO |
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| 356 | END DO |
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| 357 | END DO |
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[4161] | 358 | |
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[5123] | 359 | ! Computation of the profile |
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[825] | 360 | DO jl = 1, jpl |
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| 361 | DO jk = 1, nlay_i |
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| 362 | DO jj = 1, jpj |
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| 363 | DO ji = 1, jpi |
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[2715] | 364 | ! ! linear profile with 0 at the surface |
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[5123] | 365 | zs_zero = z_slope_s(ji,jj,jl) * ( REAL(jk,wp) - 0.5_wp ) * ht_i(ji,jj,jl) * r1_nlay_i |
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[2715] | 366 | ! ! weighting the profile |
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| 367 | s_i(ji,jj,jk,jl) = zalpha(ji,jj,jl) * zs_zero + ( 1._wp - zalpha(ji,jj,jl) ) * sm_i(ji,jj,jl) |
---|
[5202] | 368 | ! ! bounding salinity |
---|
| 369 | s_i(ji,jj,jk,jl) = MIN( rn_simax, MAX( s_i(ji,jj,jk,jl), rn_simin ) ) |
---|
[5134] | 370 | END DO |
---|
| 371 | END DO |
---|
| 372 | END DO |
---|
| 373 | END DO |
---|
[3625] | 374 | ! |
---|
[5123] | 375 | ENDIF ! nn_icesal |
---|
[825] | 376 | |
---|
| 377 | !------------------------------------------------------- |
---|
| 378 | ! Vertically varying salinity profile, constant in time |
---|
| 379 | !------------------------------------------------------- |
---|
[921] | 380 | |
---|
[5123] | 381 | IF( nn_icesal == 3 ) THEN ! Schwarzacher (1959) multiyear salinity profile (mean = 2.30) |
---|
[2715] | 382 | ! |
---|
| 383 | sm_i(:,:,:) = 2.30_wp |
---|
| 384 | ! |
---|
[825] | 385 | DO jl = 1, jpl |
---|
| 386 | DO jk = 1, nlay_i |
---|
[5123] | 387 | zargtemp = ( REAL(jk,wp) - 0.5_wp ) * r1_nlay_i |
---|
[2715] | 388 | zsal = 1.6_wp * ( 1._wp - COS( rpi * zargtemp**(0.407_wp/(0.573_wp+zargtemp)) ) ) |
---|
| 389 | s_i(:,:,jk,jl) = zsal |
---|
| 390 | END DO |
---|
| 391 | END DO |
---|
[3625] | 392 | ! |
---|
[5123] | 393 | ENDIF ! nn_icesal |
---|
[2715] | 394 | ! |
---|
[3294] | 395 | CALL wrk_dealloc( jpi, jpj, jpl, z_slope_s, zalpha ) |
---|
[2715] | 396 | ! |
---|
[825] | 397 | END SUBROUTINE lim_var_salprof |
---|
| 398 | |
---|
| 399 | |
---|
[4161] | 400 | SUBROUTINE lim_var_icetm |
---|
| 401 | !!------------------------------------------------------------------ |
---|
| 402 | !! *** ROUTINE lim_var_icetm *** |
---|
| 403 | !! |
---|
| 404 | !! ** Purpose : computes mean sea ice temperature |
---|
| 405 | !!------------------------------------------------------------------ |
---|
| 406 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
---|
| 407 | !!------------------------------------------------------------------ |
---|
| 408 | |
---|
| 409 | ! Mean sea ice temperature |
---|
[5167] | 410 | vt_i (:,:) = 0._wp |
---|
| 411 | DO jl = 1, jpl |
---|
| 412 | vt_i(:,:) = vt_i(:,:) + v_i(:,:,jl) |
---|
| 413 | END DO |
---|
| 414 | |
---|
[4161] | 415 | tm_i(:,:) = 0._wp |
---|
| 416 | DO jl = 1, jpl |
---|
| 417 | DO jk = 1, nlay_i |
---|
| 418 | DO jj = 1, jpj |
---|
| 419 | DO ji = 1, jpi |
---|
[5179] | 420 | rswitch = MAX( 0._wp , SIGN( 1._wp , vt_i(ji,jj) - epsi10 ) ) |
---|
| 421 | tm_i(ji,jj) = tm_i(ji,jj) + r1_nlay_i * rswitch * ( t_i(ji,jj,jk,jl) - rt0 ) * v_i(ji,jj,jl) & |
---|
| 422 | & / MAX( vt_i(ji,jj) , epsi10 ) |
---|
[4161] | 423 | END DO |
---|
| 424 | END DO |
---|
| 425 | END DO |
---|
| 426 | END DO |
---|
[5179] | 427 | tm_i = tm_i + rt0 |
---|
[4161] | 428 | |
---|
| 429 | END SUBROUTINE lim_var_icetm |
---|
| 430 | |
---|
| 431 | |
---|
[825] | 432 | SUBROUTINE lim_var_bv |
---|
[921] | 433 | !!------------------------------------------------------------------ |
---|
[2715] | 434 | !! *** ROUTINE lim_var_bv *** |
---|
[921] | 435 | !! |
---|
[2715] | 436 | !! ** Purpose : computes mean brine volume (%) in sea ice |
---|
| 437 | !! |
---|
[921] | 438 | !! ** Method : e = - 0.054 * S (ppt) / T (C) |
---|
| 439 | !! |
---|
[2715] | 440 | !! References : Vancoppenolle et al., JGR, 2007 |
---|
[921] | 441 | !!------------------------------------------------------------------ |
---|
[2715] | 442 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
---|
[4990] | 443 | REAL(wp) :: zbvi ! local scalars |
---|
[2715] | 444 | !!------------------------------------------------------------------ |
---|
| 445 | ! |
---|
[5167] | 446 | vt_i (:,:) = 0._wp |
---|
| 447 | DO jl = 1, jpl |
---|
| 448 | vt_i(:,:) = vt_i(:,:) + v_i(:,:,jl) |
---|
| 449 | END DO |
---|
| 450 | |
---|
[2715] | 451 | bv_i(:,:) = 0._wp |
---|
[921] | 452 | DO jl = 1, jpl |
---|
| 453 | DO jk = 1, nlay_i |
---|
| 454 | DO jj = 1, jpj |
---|
| 455 | DO ji = 1, jpi |
---|
[5123] | 456 | rswitch = ( 1._wp - MAX( 0._wp , SIGN( 1._wp , (t_i(ji,jj,jk,jl) - rt0) + epsi10 ) ) ) |
---|
| 457 | zbvi = - rswitch * tmut * s_i(ji,jj,jk,jl) / MIN( t_i(ji,jj,jk,jl) - rt0, - epsi10 ) & |
---|
| 458 | & * v_i(ji,jj,jl) * r1_nlay_i |
---|
[5167] | 459 | rswitch = ( 1._wp - MAX( 0._wp , SIGN( 1._wp , - vt_i(ji,jj) + epsi20 ) ) ) |
---|
| 460 | bv_i(ji,jj) = bv_i(ji,jj) + rswitch * zbvi / MAX( vt_i(ji,jj) , epsi20 ) |
---|
[921] | 461 | END DO |
---|
| 462 | END DO |
---|
| 463 | END DO |
---|
| 464 | END DO |
---|
[2715] | 465 | ! |
---|
[921] | 466 | END SUBROUTINE lim_var_bv |
---|
[825] | 467 | |
---|
| 468 | |
---|
[2715] | 469 | SUBROUTINE lim_var_salprof1d( kideb, kiut ) |
---|
[825] | 470 | !!------------------------------------------------------------------- |
---|
| 471 | !! *** ROUTINE lim_thd_salprof1d *** |
---|
| 472 | !! |
---|
| 473 | !! ** Purpose : 1d computation of the sea ice salinity profile |
---|
[2715] | 474 | !! Works with 1d vectors and is used by thermodynamic modules |
---|
[825] | 475 | !!------------------------------------------------------------------- |
---|
[2715] | 476 | INTEGER, INTENT(in) :: kideb, kiut ! thickness category index |
---|
| 477 | ! |
---|
| 478 | INTEGER :: ji, jk ! dummy loop indices |
---|
[5123] | 479 | INTEGER :: ii, ij ! local integers |
---|
| 480 | REAL(wp) :: zfac0, zfac1, zargtemp, zsal ! local scalars |
---|
| 481 | REAL(wp) :: zalpha, zswi0, zswi01, zs_zero ! - - |
---|
[2715] | 482 | ! |
---|
| 483 | REAL(wp), POINTER, DIMENSION(:) :: z_slope_s |
---|
[5123] | 484 | REAL(wp), PARAMETER :: zsi0 = 3.5_wp |
---|
| 485 | REAL(wp), PARAMETER :: zsi1 = 4.5_wp |
---|
[2715] | 486 | !!--------------------------------------------------------------------- |
---|
[825] | 487 | |
---|
[3294] | 488 | CALL wrk_alloc( jpij, z_slope_s ) |
---|
[825] | 489 | |
---|
| 490 | !--------------------------------------- |
---|
| 491 | ! Vertically constant, constant in time |
---|
| 492 | !--------------------------------------- |
---|
[5123] | 493 | IF( nn_icesal == 1 ) s_i_1d(:,:) = rn_icesal |
---|
[825] | 494 | |
---|
| 495 | !------------------------------------------------------ |
---|
| 496 | ! Vertically varying salinity profile, varying in time |
---|
| 497 | !------------------------------------------------------ |
---|
| 498 | |
---|
[5123] | 499 | IF( nn_icesal == 2 ) THEN |
---|
[2715] | 500 | ! |
---|
| 501 | DO ji = kideb, kiut ! Slope of the linear profile zs_zero |
---|
[5167] | 502 | rswitch = MAX( 0._wp , SIGN( 1._wp , ht_i_1d(ji) - epsi20 ) ) |
---|
| 503 | z_slope_s(ji) = rswitch * 2._wp * sm_i_1d(ji) / MAX( epsi20 , ht_i_1d(ji) ) |
---|
[2715] | 504 | END DO |
---|
[825] | 505 | |
---|
| 506 | ! Weighting factor between zs_zero and zs_inf |
---|
| 507 | !--------------------------------------------- |
---|
[5123] | 508 | zfac0 = 1._wp / ( zsi0 - zsi1 ) |
---|
| 509 | zfac1 = zsi1 / ( zsi1 - zsi0 ) |
---|
[825] | 510 | DO jk = 1, nlay_i |
---|
| 511 | DO ji = kideb, kiut |
---|
[4161] | 512 | ii = MOD( npb(ji) - 1 , jpi ) + 1 |
---|
| 513 | ij = ( npb(ji) - 1 ) / jpi + 1 |
---|
[5123] | 514 | ! zswi0 = 1 if sm_i le zsi0 and 0 otherwise |
---|
| 515 | zswi0 = MAX( 0._wp , SIGN( 1._wp , zsi0 - sm_i_1d(ji) ) ) |
---|
| 516 | ! zswi01 = 1 if sm_i is between zsi0 and zsi1 and 0 othws |
---|
| 517 | zswi01 = ( 1._wp - zswi0 ) * MAX( 0._wp , SIGN( 1._wp , zsi1 - sm_i_1d(ji) ) ) |
---|
| 518 | ! if 2.sm_i GE sss_m then rswitch = 1 |
---|
[4333] | 519 | ! this is to force a constant salinity profile in the Baltic Sea |
---|
[5123] | 520 | rswitch = MAX( 0._wp , SIGN( 1._wp , 2._wp * sm_i_1d(ji) - sss_m(ii,ij) ) ) |
---|
[2715] | 521 | ! |
---|
[5123] | 522 | zalpha = ( zswi0 + zswi01 * ( sm_i_1d(ji) * zfac0 + zfac1 ) ) * ( 1._wp - rswitch ) |
---|
[2715] | 523 | ! |
---|
[5123] | 524 | zs_zero = z_slope_s(ji) * ( REAL(jk,wp) - 0.5_wp ) * ht_i_1d(ji) * r1_nlay_i |
---|
[825] | 525 | ! weighting the profile |
---|
[4872] | 526 | s_i_1d(ji,jk) = zalpha * zs_zero + ( 1._wp - zalpha ) * sm_i_1d(ji) |
---|
[5202] | 527 | ! bounding salinity |
---|
| 528 | s_i_1d(ji,jk) = MIN( rn_simax, MAX( s_i_1d(ji,jk), rn_simin ) ) |
---|
[5123] | 529 | END DO |
---|
| 530 | END DO |
---|
[825] | 531 | |
---|
[5123] | 532 | ENDIF |
---|
[825] | 533 | |
---|
| 534 | !------------------------------------------------------- |
---|
| 535 | ! Vertically varying salinity profile, constant in time |
---|
| 536 | !------------------------------------------------------- |
---|
| 537 | |
---|
[5123] | 538 | IF( nn_icesal == 3 ) THEN ! Schwarzacher (1959) multiyear salinity profile (mean = 2.30) |
---|
[2715] | 539 | ! |
---|
[4872] | 540 | sm_i_1d(:) = 2.30_wp |
---|
[2715] | 541 | ! |
---|
| 542 | DO jk = 1, nlay_i |
---|
[5123] | 543 | zargtemp = ( REAL(jk,wp) - 0.5_wp ) * r1_nlay_i |
---|
| 544 | zsal = 1.6_wp * ( 1._wp - COS( rpi * zargtemp**( 0.407_wp / ( 0.573_wp + zargtemp ) ) ) ) |
---|
[2715] | 545 | DO ji = kideb, kiut |
---|
[4872] | 546 | s_i_1d(ji,jk) = zsal |
---|
[2715] | 547 | END DO |
---|
| 548 | END DO |
---|
| 549 | ! |
---|
| 550 | ENDIF |
---|
| 551 | ! |
---|
[3294] | 552 | CALL wrk_dealloc( jpij, z_slope_s ) |
---|
[2715] | 553 | ! |
---|
[825] | 554 | END SUBROUTINE lim_var_salprof1d |
---|
| 555 | |
---|
[5123] | 556 | SUBROUTINE lim_var_zapsmall |
---|
| 557 | !!------------------------------------------------------------------- |
---|
| 558 | !! *** ROUTINE lim_var_zapsmall *** |
---|
| 559 | !! |
---|
| 560 | !! ** Purpose : Remove too small sea ice areas and correct fluxes |
---|
| 561 | !! |
---|
| 562 | !! history : LIM3.5 - 01-2014 (C. Rousset) original code |
---|
| 563 | !!------------------------------------------------------------------- |
---|
| 564 | INTEGER :: ji, jj, jl, jk ! dummy loop indices |
---|
| 565 | REAL(wp) :: zsal, zvi, zvs, zei, zes |
---|
| 566 | !!------------------------------------------------------------------- |
---|
| 567 | at_i (:,:) = 0._wp |
---|
| 568 | DO jl = 1, jpl |
---|
| 569 | at_i(:,:) = at_i(:,:) + a_i(:,:,jl) |
---|
| 570 | END DO |
---|
| 571 | |
---|
| 572 | DO jl = 1, jpl |
---|
| 573 | |
---|
| 574 | !----------------------------------------------------------------- |
---|
| 575 | ! Zap ice energy and use ocean heat to melt ice |
---|
| 576 | !----------------------------------------------------------------- |
---|
| 577 | DO jk = 1, nlay_i |
---|
| 578 | DO jj = 1 , jpj |
---|
| 579 | DO ji = 1 , jpi |
---|
| 580 | rswitch = MAX( 0._wp , SIGN( 1._wp, a_i(ji,jj,jl) - epsi10 ) ) |
---|
| 581 | rswitch = MAX( 0._wp , SIGN( 1._wp, at_i(ji,jj ) - epsi10 ) ) * rswitch |
---|
[5202] | 582 | rswitch = MAX( 0._wp , SIGN( 1._wp, v_i(ji,jj,jl) - epsi10 ) ) * rswitch |
---|
| 583 | rswitch = MAX( 0._wp , SIGN( 1._wp, v_i(ji,jj,jl) * rswitch & |
---|
| 584 | & / MAX( a_i(ji,jj,jl), epsi10 ) - epsi10 ) ) * rswitch |
---|
[5123] | 585 | zei = e_i(ji,jj,jk,jl) |
---|
| 586 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) * rswitch |
---|
| 587 | t_i(ji,jj,jk,jl) = t_i(ji,jj,jk,jl) * rswitch + rt0 * ( 1._wp - rswitch ) |
---|
| 588 | ! update exchanges with ocean |
---|
| 589 | hfx_res(ji,jj) = hfx_res(ji,jj) + ( e_i(ji,jj,jk,jl) - zei ) * r1_rdtice ! W.m-2 <0 |
---|
| 590 | END DO |
---|
| 591 | END DO |
---|
| 592 | END DO |
---|
| 593 | |
---|
| 594 | DO jj = 1 , jpj |
---|
| 595 | DO ji = 1 , jpi |
---|
| 596 | rswitch = MAX( 0._wp , SIGN( 1._wp, a_i(ji,jj,jl) - epsi10 ) ) |
---|
| 597 | rswitch = MAX( 0._wp , SIGN( 1._wp, at_i(ji,jj ) - epsi10 ) ) * rswitch |
---|
[5202] | 598 | rswitch = MAX( 0._wp , SIGN( 1._wp, v_i(ji,jj,jl) - epsi10 ) ) * rswitch |
---|
| 599 | rswitch = MAX( 0._wp , SIGN( 1._wp, v_i(ji,jj,jl) * rswitch & |
---|
| 600 | & / MAX( a_i(ji,jj,jl), epsi10 ) - epsi10 ) ) * rswitch |
---|
[5123] | 601 | zsal = smv_i(ji,jj, jl) |
---|
| 602 | zvi = v_i (ji,jj, jl) |
---|
| 603 | zvs = v_s (ji,jj, jl) |
---|
| 604 | zes = e_s (ji,jj,1,jl) |
---|
| 605 | !----------------------------------------------------------------- |
---|
| 606 | ! Zap snow energy |
---|
| 607 | !----------------------------------------------------------------- |
---|
| 608 | t_s(ji,jj,1,jl) = t_s(ji,jj,1,jl) * rswitch + rt0 * ( 1._wp - rswitch ) |
---|
| 609 | e_s(ji,jj,1,jl) = e_s(ji,jj,1,jl) * rswitch |
---|
| 610 | |
---|
| 611 | !----------------------------------------------------------------- |
---|
| 612 | ! zap ice and snow volume, add water and salt to ocean |
---|
| 613 | !----------------------------------------------------------------- |
---|
| 614 | ato_i(ji,jj) = a_i (ji,jj,jl) * ( 1._wp - rswitch ) + ato_i(ji,jj) |
---|
| 615 | a_i (ji,jj,jl) = a_i (ji,jj,jl) * rswitch |
---|
| 616 | v_i (ji,jj,jl) = v_i (ji,jj,jl) * rswitch |
---|
| 617 | v_s (ji,jj,jl) = v_s (ji,jj,jl) * rswitch |
---|
| 618 | t_su (ji,jj,jl) = t_su (ji,jj,jl) * rswitch + t_bo(ji,jj) * ( 1._wp - rswitch ) |
---|
| 619 | oa_i (ji,jj,jl) = oa_i (ji,jj,jl) * rswitch |
---|
| 620 | smv_i(ji,jj,jl) = smv_i(ji,jj,jl) * rswitch |
---|
| 621 | |
---|
| 622 | ! update exchanges with ocean |
---|
| 623 | sfx_res(ji,jj) = sfx_res(ji,jj) - ( smv_i(ji,jj,jl) - zsal ) * rhoic * r1_rdtice |
---|
| 624 | wfx_res(ji,jj) = wfx_res(ji,jj) - ( v_i(ji,jj,jl) - zvi ) * rhoic * r1_rdtice |
---|
| 625 | wfx_snw(ji,jj) = wfx_snw(ji,jj) - ( v_s(ji,jj,jl) - zvs ) * rhosn * r1_rdtice |
---|
| 626 | hfx_res(ji,jj) = hfx_res(ji,jj) + ( e_s(ji,jj,1,jl) - zes ) * r1_rdtice ! W.m-2 <0 |
---|
| 627 | END DO |
---|
| 628 | END DO |
---|
| 629 | END DO |
---|
| 630 | |
---|
| 631 | ! to be sure that at_i is the sum of a_i(jl) |
---|
| 632 | at_i (:,:) = 0._wp |
---|
| 633 | DO jl = 1, jpl |
---|
| 634 | at_i(:,:) = at_i(:,:) + a_i(:,:,jl) |
---|
| 635 | END DO |
---|
| 636 | |
---|
| 637 | ! open water = 1 if at_i=0 |
---|
| 638 | DO jj = 1, jpj |
---|
| 639 | DO ji = 1, jpi |
---|
| 640 | rswitch = MAX( 0._wp , SIGN( 1._wp, - at_i(ji,jj) ) ) |
---|
| 641 | ato_i(ji,jj) = rswitch + (1._wp - rswitch ) * ato_i(ji,jj) |
---|
| 642 | END DO |
---|
| 643 | END DO |
---|
| 644 | |
---|
| 645 | ! |
---|
| 646 | END SUBROUTINE lim_var_zapsmall |
---|
| 647 | |
---|
| 648 | SUBROUTINE lim_var_itd( zhti, zhts, zai, zht_i, zht_s, za_i ) |
---|
| 649 | !!------------------------------------------------------------------ |
---|
| 650 | !! *** ROUTINE lim_var_itd *** |
---|
| 651 | !! |
---|
| 652 | !! ** Purpose : converting 1-cat ice to multiple ice categories |
---|
| 653 | !! |
---|
| 654 | !! ice thickness distribution follows a gaussian law |
---|
| 655 | !! around the concentration of the most likely ice thickness |
---|
| 656 | !! (similar as limistate.F90) |
---|
| 657 | !! |
---|
| 658 | !! ** Method: Iterative procedure |
---|
| 659 | !! |
---|
| 660 | !! 1) Try to fill the jpl ice categories (bounds hi_max(0:jpl)) with a gaussian |
---|
| 661 | !! |
---|
| 662 | !! 2) Check whether the distribution conserves area and volume, positivity and |
---|
| 663 | !! category boundaries |
---|
| 664 | !! |
---|
| 665 | !! 3) If not (input ice is too thin), the last category is empty and |
---|
| 666 | !! the number of categories is reduced (jpl-1) |
---|
| 667 | !! |
---|
| 668 | !! 4) Iterate until ok (SUM(itest(:) = 4) |
---|
| 669 | !! |
---|
| 670 | !! ** Arguments : zhti: 1-cat ice thickness |
---|
| 671 | !! zhts: 1-cat snow depth |
---|
| 672 | !! zai : 1-cat ice concentration |
---|
| 673 | !! |
---|
| 674 | !! ** Output : jpl-cat |
---|
| 675 | !! |
---|
| 676 | !! (Example of application: BDY forcings when input are cell averaged) |
---|
| 677 | !! |
---|
| 678 | !!------------------------------------------------------------------- |
---|
| 679 | !! History : LIM3.5 - 2012 (M. Vancoppenolle) Original code |
---|
| 680 | !! 2014 (C. Rousset) Rewriting |
---|
| 681 | !!------------------------------------------------------------------- |
---|
| 682 | !! Local variables |
---|
| 683 | INTEGER :: ji, jk, jl ! dummy loop indices |
---|
| 684 | INTEGER :: ijpij, i_fill, jl0 |
---|
| 685 | REAL(wp) :: zarg, zV, zconv, zdh |
---|
| 686 | REAL(wp), DIMENSION(:), INTENT(in) :: zhti, zhts, zai ! input ice/snow variables |
---|
| 687 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: zht_i, zht_s, za_i ! output ice/snow variables |
---|
| 688 | INTEGER , POINTER, DIMENSION(:) :: itest |
---|
| 689 | |
---|
| 690 | CALL wrk_alloc( 4, itest ) |
---|
| 691 | !-------------------------------------------------------------------- |
---|
| 692 | ! initialisation of variables |
---|
| 693 | !-------------------------------------------------------------------- |
---|
| 694 | ijpij = SIZE(zhti,1) |
---|
| 695 | zht_i(1:ijpij,1:jpl) = 0._wp |
---|
| 696 | zht_s(1:ijpij,1:jpl) = 0._wp |
---|
| 697 | za_i (1:ijpij,1:jpl) = 0._wp |
---|
| 698 | |
---|
| 699 | ! ---------------------------------------- |
---|
| 700 | ! distribution over the jpl ice categories |
---|
| 701 | ! ---------------------------------------- |
---|
| 702 | DO ji = 1, ijpij |
---|
| 703 | |
---|
| 704 | IF( zhti(ji) > 0._wp ) THEN |
---|
| 705 | |
---|
| 706 | ! initialisation of tests |
---|
| 707 | itest(:) = 0 |
---|
| 708 | |
---|
| 709 | i_fill = jpl + 1 !==================================== |
---|
| 710 | DO WHILE ( ( SUM( itest(:) ) /= 4 ) .AND. ( i_fill >= 2 ) ) ! iterative loop on i_fill categories |
---|
| 711 | ! iteration !==================================== |
---|
| 712 | i_fill = i_fill - 1 |
---|
| 713 | |
---|
| 714 | ! initialisation of ice variables for each try |
---|
| 715 | zht_i(ji,1:jpl) = 0._wp |
---|
| 716 | za_i (ji,1:jpl) = 0._wp |
---|
| 717 | |
---|
| 718 | ! *** case very thin ice: fill only category 1 |
---|
| 719 | IF ( i_fill == 1 ) THEN |
---|
| 720 | zht_i(ji,1) = zhti(ji) |
---|
| 721 | za_i (ji,1) = zai (ji) |
---|
| 722 | |
---|
| 723 | ! *** case ice is thicker: fill categories >1 |
---|
| 724 | ELSE |
---|
| 725 | |
---|
| 726 | ! Fill ice thicknesses except the last one (i_fill) by hmean |
---|
| 727 | DO jl = 1, i_fill - 1 |
---|
| 728 | zht_i(ji,jl) = hi_mean(jl) |
---|
| 729 | END DO |
---|
| 730 | |
---|
| 731 | ! find which category (jl0) the input ice thickness falls into |
---|
| 732 | jl0 = i_fill |
---|
| 733 | DO jl = 1, i_fill |
---|
| 734 | IF ( ( zhti(ji) >= hi_max(jl-1) ) .AND. ( zhti(ji) < hi_max(jl) ) ) THEN |
---|
| 735 | jl0 = jl |
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| 736 | CYCLE |
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| 737 | ENDIF |
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| 738 | END DO |
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| 739 | |
---|
| 740 | ! Concentrations in the (i_fill-1) categories |
---|
| 741 | za_i(ji,jl0) = zai(ji) / SQRT(REAL(jpl)) |
---|
| 742 | DO jl = 1, i_fill - 1 |
---|
| 743 | IF ( jl == jl0 ) CYCLE |
---|
| 744 | zarg = ( zht_i(ji,jl) - zhti(ji) ) / ( zhti(ji) * 0.5_wp ) |
---|
| 745 | za_i(ji,jl) = za_i (ji,jl0) * EXP(-zarg**2) |
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| 746 | END DO |
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| 747 | |
---|
| 748 | ! Concentration in the last (i_fill) category |
---|
| 749 | za_i(ji,i_fill) = zai(ji) - SUM( za_i(ji,1:i_fill-1) ) |
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| 750 | |
---|
| 751 | ! Ice thickness in the last (i_fill) category |
---|
| 752 | zV = SUM( za_i(ji,1:i_fill-1) * zht_i(ji,1:i_fill-1) ) |
---|
| 753 | zht_i(ji,i_fill) = ( zhti(ji) * zai(ji) - zV ) / za_i(ji,i_fill) |
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| 754 | |
---|
| 755 | ENDIF ! case ice is thick or thin |
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| 756 | |
---|
| 757 | !--------------------- |
---|
| 758 | ! Compatibility tests |
---|
| 759 | !--------------------- |
---|
| 760 | ! Test 1: area conservation |
---|
| 761 | zconv = ABS( zai(ji) - SUM( za_i(ji,1:jpl) ) ) |
---|
| 762 | IF ( zconv < epsi06 ) itest(1) = 1 |
---|
| 763 | |
---|
| 764 | ! Test 2: volume conservation |
---|
| 765 | zconv = ABS( zhti(ji)*zai(ji) - SUM( za_i(ji,1:jpl)*zht_i(ji,1:jpl) ) ) |
---|
| 766 | IF ( zconv < epsi06 ) itest(2) = 1 |
---|
| 767 | |
---|
| 768 | ! Test 3: thickness of the last category is in-bounds ? |
---|
| 769 | IF ( zht_i(ji,i_fill) >= hi_max(i_fill-1) ) itest(3) = 1 |
---|
| 770 | |
---|
| 771 | ! Test 4: positivity of ice concentrations |
---|
| 772 | itest(4) = 1 |
---|
| 773 | DO jl = 1, i_fill |
---|
| 774 | IF ( za_i(ji,jl) < 0._wp ) itest(4) = 0 |
---|
| 775 | END DO |
---|
| 776 | !============================ |
---|
| 777 | END DO ! end iteration on categories |
---|
| 778 | !============================ |
---|
| 779 | ENDIF ! if zhti > 0 |
---|
| 780 | END DO ! i loop |
---|
| 781 | |
---|
| 782 | ! ------------------------------------------------ |
---|
| 783 | ! Adding Snow in each category where za_i is not 0 |
---|
| 784 | ! ------------------------------------------------ |
---|
| 785 | DO jl = 1, jpl |
---|
| 786 | DO ji = 1, ijpij |
---|
| 787 | IF( za_i(ji,jl) > 0._wp ) THEN |
---|
| 788 | zht_s(ji,jl) = zht_i(ji,jl) * ( zhts(ji) / zhti(ji) ) |
---|
| 789 | ! In case snow load is in excess that would lead to transformation from snow to ice |
---|
| 790 | ! Then, transfer the snow excess into the ice (different from limthd_dh) |
---|
| 791 | zdh = MAX( 0._wp, ( rhosn * zht_s(ji,jl) + ( rhoic - rau0 ) * zht_i(ji,jl) ) * r1_rau0 ) |
---|
| 792 | ! recompute ht_i, ht_s avoiding out of bounds values |
---|
| 793 | zht_i(ji,jl) = MIN( hi_max(jl), zht_i(ji,jl) + zdh ) |
---|
| 794 | zht_s(ji,jl) = MAX( 0._wp, zht_s(ji,jl) - zdh * rhoic * r1_rhosn ) |
---|
| 795 | ENDIF |
---|
| 796 | ENDDO |
---|
| 797 | ENDDO |
---|
| 798 | |
---|
| 799 | CALL wrk_dealloc( 4, itest ) |
---|
| 800 | ! |
---|
| 801 | END SUBROUTINE lim_var_itd |
---|
| 802 | |
---|
| 803 | |
---|
[825] | 804 | #else |
---|
[2715] | 805 | !!---------------------------------------------------------------------- |
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| 806 | !! Default option Dummy module NO LIM3 sea-ice model |
---|
| 807 | !!---------------------------------------------------------------------- |
---|
[825] | 808 | CONTAINS |
---|
| 809 | SUBROUTINE lim_var_agg ! Empty routines |
---|
| 810 | END SUBROUTINE lim_var_agg |
---|
| 811 | SUBROUTINE lim_var_glo2eqv ! Empty routines |
---|
| 812 | END SUBROUTINE lim_var_glo2eqv |
---|
| 813 | SUBROUTINE lim_var_eqv2glo ! Empty routines |
---|
| 814 | END SUBROUTINE lim_var_eqv2glo |
---|
| 815 | SUBROUTINE lim_var_salprof ! Empty routines |
---|
| 816 | END SUBROUTINE lim_var_salprof |
---|
| 817 | SUBROUTINE lim_var_bv ! Emtpy routines |
---|
[921] | 818 | END SUBROUTINE lim_var_bv |
---|
[825] | 819 | SUBROUTINE lim_var_salprof1d ! Emtpy routines |
---|
| 820 | END SUBROUTINE lim_var_salprof1d |
---|
[5123] | 821 | SUBROUTINE lim_var_zapsmall |
---|
| 822 | END SUBROUTINE lim_var_zapsmall |
---|
| 823 | SUBROUTINE lim_var_itd |
---|
| 824 | END SUBROUTINE lim_var_itd |
---|
[2715] | 825 | #endif |
---|
[825] | 826 | |
---|
[2715] | 827 | !!====================================================================== |
---|
[834] | 828 | END MODULE limvar |
---|