| 1 | MODULE limvar |
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| 2 | #if defined key_lim3 |
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| 3 | !!---------------------------------------------------------------------- |
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| 4 | !! 'key_lim3' LIM3 sea-ice model |
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| 5 | !!---------------------------------------------------------------------- |
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| 6 | !!====================================================================== |
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| 7 | !! *** MODULE limvar *** |
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| 8 | !! Different sets of ice model variables |
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| 9 | !! how to switch from one to another |
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| 10 | !! |
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| 11 | !! There are three sets of variables |
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| 12 | !! VGLO : global variables of the model |
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| 13 | !! - v_i (jpi,jpj,jpl) |
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| 14 | !! - v_s (jpi,jpj,jpl) |
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| 15 | !! - a_i (jpi,jpj,jpl) |
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| 16 | !! - t_s (jpi,jpj,jpl) |
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| 17 | !! - e_i (jpi,jpj,nlay_i,jpl) |
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| 18 | !! - smv_i(jpi,jpj,jpl) |
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| 19 | !! - oa_i (jpi,jpj,jpl) |
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| 20 | !! VEQV : equivalent variables sometimes used in the model |
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| 21 | !! - ht_i(jpi,jpj,jpl) |
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| 22 | !! - ht_s(jpi,jpj,jpl) |
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| 23 | !! - t_i (jpi,jpj,nlay_i,jpl) |
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| 24 | !! ... |
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| 25 | !! VAGG : aggregate variables, averaged/summed over all |
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| 26 | !! thickness categories |
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| 27 | !! - vt_i(jpi,jpj) |
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| 28 | !! - vt_s(jpi,jpj) |
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| 29 | !! - at_i(jpi,jpj) |
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| 30 | !! - et_s(jpi,jpj) !total snow heat content |
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| 31 | !! - et_i(jpi,jpj) !total ice thermal content |
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| 32 | !! - smt_i(jpi,jpj) !mean ice salinity |
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| 33 | !! - ot_i(jpi,jpj) !average ice age |
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| 34 | !!====================================================================== |
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| 35 | |
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| 36 | !!---------------------------------------------------------------------- |
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| 37 | !! * Modules used |
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| 38 | USE dom_ice |
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| 39 | USE par_oce ! ocean parameters |
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| 40 | USE phycst ! physical constants (ocean directory) |
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| 41 | USE ice_oce ! ice variables |
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| 42 | USE thd_ice |
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| 43 | USE in_out_manager |
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| 44 | USE ice |
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| 45 | USE par_ice |
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| 46 | |
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| 47 | IMPLICIT NONE |
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| 48 | PRIVATE |
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| 49 | |
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| 50 | !! * Routine accessibility |
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| 51 | PUBLIC lim_var_agg |
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| 52 | PUBLIC lim_var_glo2eqv |
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| 53 | PUBLIC lim_var_eqv2glo |
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| 54 | PUBLIC lim_var_salprof |
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| 55 | PUBLIC lim_var_bv |
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| 56 | PUBLIC lim_var_salprof1d |
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| 57 | |
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| 58 | !! * Module variables |
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| 59 | REAL(wp) :: & ! constant values |
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| 60 | epsi20 = 1e-20 , & |
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| 61 | epsi13 = 1e-13 , & |
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| 62 | zzero = 0.e0 , & |
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| 63 | zone = 1.e0 |
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| 64 | |
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| 65 | !!---------------------------------------------------------------------- |
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| 66 | !! LIM3.0, UCL-ASTR-LOCEAN-IPSL (2008) |
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| 67 | !! (c) UCL-ASTR and Martin Vancoppenolle |
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| 68 | !!---------------------------------------------------------------------- |
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| 69 | |
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| 70 | CONTAINS |
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| 71 | |
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| 72 | SUBROUTINE lim_var_agg(n) |
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| 73 | !!------------------------------------------------------------------ |
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| 74 | !! *** ROUTINE lim_var_agg *** |
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| 75 | !! ** Purpose : |
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| 76 | !! This routine aggregates ice-thickness-category variables to |
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| 77 | !! all-ice variables |
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| 78 | !! i.e. it turns VGLO into VAGG |
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| 79 | !! ** Method : |
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| 80 | !! |
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| 81 | !! ** Arguments : |
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| 82 | !! kideb , kiut : Starting and ending points on which the |
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| 83 | !! the computation is applied |
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| 84 | !! |
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| 85 | !! ** Inputs / Ouputs : (global commons) |
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| 86 | !! ** Arguments : n = 1, at_i vt_i only |
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| 87 | !! n = 2 everything |
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| 88 | !! |
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| 89 | !! ** External : |
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| 90 | !! |
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| 91 | !! ** References : |
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| 92 | !! |
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| 93 | !! ** History : |
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| 94 | !! (01-2006) Martin Vancoppenolle, UCL-ASTR |
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| 95 | !! |
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| 96 | !! note : you could add an argument when you need only at_i, vt_i |
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| 97 | !! and when you need everything |
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| 98 | !!------------------------------------------------------------------ |
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| 99 | !! * Arguments |
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| 100 | |
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| 101 | !! * Local variables |
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| 102 | INTEGER :: ji, & ! spatial dummy loop index |
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| 103 | jj, & ! spatial dummy loop index |
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| 104 | jk, & ! vertical layering dummy loop index |
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| 105 | jl ! ice category dummy loop index |
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| 106 | |
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| 107 | REAL :: zeps, epsi16, zinda, epsi06 |
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| 108 | |
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| 109 | INTEGER, INTENT( in ) :: n ! describes what is needed |
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| 110 | |
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| 111 | !!-- End of declarations |
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| 112 | !!---------------------------------------------------------------------------------------------- |
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| 113 | zeps = 1.0e-13 |
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| 114 | epsi16 = 1.0e-16 |
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| 115 | epsi06 = 1.0e-6 |
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| 116 | |
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| 117 | !------------------ |
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| 118 | ! Zero everything |
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| 119 | !------------------ |
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| 120 | |
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| 121 | vt_i(:,:) = 0.0 |
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| 122 | vt_s(:,:) = 0.0 |
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| 123 | at_i(:,:) = 0.0 |
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| 124 | ato_i(:,:) = 1.0 |
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| 125 | |
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| 126 | IF ( n .GT. 1 ) THEN |
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| 127 | et_s(:,:) = 0.0 |
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| 128 | ot_i(:,:) = 0.0 |
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| 129 | smt_i(:,:) = 0.0 |
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| 130 | et_i(:,:) = 0.0 |
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| 131 | ENDIF |
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| 132 | |
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| 133 | !-------------------- |
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| 134 | ! Compute variables |
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| 135 | !-------------------- |
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| 136 | |
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| 137 | DO jl = 1, jpl |
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| 138 | DO jj = 1, jpj |
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| 139 | DO ji = 1, jpi |
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| 140 | |
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| 141 | vt_i(ji,jj) = vt_i(ji,jj) + v_i(ji,jj,jl) ! ice volume |
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| 142 | vt_s(ji,jj) = vt_s(ji,jj) + v_s(ji,jj,jl) ! snow volume |
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| 143 | at_i(ji,jj) = at_i(ji,jj) + a_i(ji,jj,jl) ! ice concentration |
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| 144 | |
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| 145 | zinda = MAX( zzero , SIGN( zone , at_i(ji,jj) - 0.10 ) ) |
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| 146 | icethi(ji,jj) = vt_i(ji,jj) / MAX(at_i(ji,jj),epsi16)*zinda |
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| 147 | ! ice thickness |
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| 148 | END DO |
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| 149 | END DO |
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| 150 | END DO |
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| 151 | |
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| 152 | DO jj = 1, jpj |
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| 153 | DO ji = 1, jpi |
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| 154 | ato_i(ji,jj) = MAX(1.0 - at_i(ji,jj), 0.0) ! open water fraction |
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| 155 | END DO |
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| 156 | END DO |
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| 157 | |
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| 158 | IF ( n .GT. 1 ) THEN |
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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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| 163 | et_s(ji,jj) = et_s(ji,jj) + & ! snow heat content |
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| 164 | e_s(ji,jj,1,jl) |
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| 165 | zinda = MAX( zzero , SIGN( zone , vt_i(ji,jj) - 0.10 ) ) |
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| 166 | smt_i(ji,jj) = smt_i(ji,jj) + & ! ice salinity |
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| 167 | smv_i(ji,jj,jl) / MAX( vt_i(ji,jj) , zeps ) * & |
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| 168 | zinda |
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| 169 | zinda = MAX( zzero , SIGN( zone , at_i(ji,jj) - 0.10 ) ) |
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| 170 | ot_i(ji,jj) = ot_i(ji,jj) + & ! ice age |
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| 171 | oa_i(ji,jj,jl) / MAX( at_i(ji,jj) , zeps ) * & |
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| 172 | zinda |
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| 173 | END DO |
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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 jk = 1, nlay_i |
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| 179 | DO jj = 1, jpj |
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| 180 | DO ji = 1, jpi |
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| 181 | et_i(ji,jj) = et_i(ji,jj) + e_i(ji,jj,jk,jl) ! ice heat |
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| 182 | ! content |
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| 183 | END DO |
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| 184 | END DO |
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| 185 | END DO |
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| 186 | END DO |
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| 187 | |
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| 188 | ENDIF ! n .GT. 1 |
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| 189 | |
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| 190 | END SUBROUTINE lim_var_agg |
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| 191 | |
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| 192 | !============================================================================== |
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| 193 | |
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| 194 | SUBROUTINE lim_var_glo2eqv |
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| 195 | !!------------------------------------------------------------------ |
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| 196 | !! *** ROUTINE lim_var_glo2eqv ***' |
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| 197 | !! ** Purpose : |
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| 198 | !! This routine computes equivalent variables as function of |
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| 199 | !! global variables |
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| 200 | !! i.e. it turns VGLO into VEQV |
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| 201 | !! ** Method : |
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| 202 | !! |
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| 203 | !! ** Arguments : |
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| 204 | !! kideb , kiut : Starting and ending points on which the |
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| 205 | !! the computation is applied |
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| 206 | !! |
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| 207 | !! ** Inputs / Ouputs : |
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| 208 | !! |
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| 209 | !! ** External : |
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| 210 | !! |
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| 211 | !! ** References : |
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| 212 | !! |
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| 213 | !! ** History : |
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| 214 | !! (01-2006) Martin Vancoppenolle, UCL-ASTR |
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| 215 | !! |
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| 216 | !!------------------------------------------------------------------ |
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| 217 | |
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| 218 | !! * Local variables |
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| 219 | INTEGER :: ji, & ! spatial dummy loop index |
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| 220 | jj, & ! spatial dummy loop index |
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| 221 | jk, & ! vertical layering dummy loop index |
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| 222 | jl ! ice category dummy loop index |
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| 223 | |
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| 224 | REAL :: zq_i, zaaa, zbbb, zccc, zdiscrim, & |
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| 225 | ztmelts, zindb, zq_s, zfac1, zfac2 |
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| 226 | |
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| 227 | REAL :: zeps, epsi06 |
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| 228 | |
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| 229 | zeps = 1.0e-10 |
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| 230 | epsi06 = 1.0e-06 |
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| 231 | |
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| 232 | !!-- End of declarations |
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| 233 | !!------------------------------------------------------------------------------ |
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| 234 | |
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| 235 | !------------------------------------------------------- |
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| 236 | ! Ice thickness, snow thickness, ice salinity, ice age |
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| 237 | !------------------------------------------------------- |
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| 238 | DO jl = 1, jpl |
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| 239 | DO jj = 1, jpj |
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| 240 | DO ji = 1, jpi |
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| 241 | 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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| 242 | ht_i(ji,jj,jl) = v_i(ji,jj,jl) / MAX( a_i(ji,jj,jl) , zeps ) * zindb |
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| 243 | ht_s(ji,jj,jl) = v_s(ji,jj,jl) / MAX( a_i(ji,jj,jl) , zeps ) * zindb |
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| 244 | o_i(ji,jj,jl) = oa_i(ji,jj,jl) / MAX( a_i(ji,jj,jl) , zeps ) * zindb |
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| 245 | END DO |
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| 246 | END DO |
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| 247 | END DO |
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| 248 | |
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| 249 | IF ( ( num_sal .EQ. 2 ) .OR. ( num_sal .EQ. 4 ) )THEN |
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| 250 | |
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| 251 | DO jl = 1, jpl |
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| 252 | DO jj = 1, jpj |
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| 253 | DO ji = 1, jpi |
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| 254 | 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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| 255 | sm_i(ji,jj,jl) = smv_i(ji,jj,jl) / MAX(v_i(ji,jj,jl),zeps) * zindb |
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| 256 | END DO |
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| 257 | END DO |
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| 258 | END DO |
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| 259 | |
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| 260 | ENDIF |
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| 261 | |
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| 262 | ! salinity profile |
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| 263 | CALL lim_var_salprof |
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| 264 | |
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| 265 | !------------------- |
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| 266 | ! Ice temperatures |
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| 267 | !------------------- |
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| 268 | DO jl = 1, jpl |
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| 269 | DO jk = 1, nlay_i |
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| 270 | DO jj = 1, jpj |
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| 271 | DO ji = 1, jpi |
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| 272 | !Energy of melting q(S,T) [J.m-3] |
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| 273 | zq_i = e_i(ji,jj,jk,jl) / area(ji,jj) / & |
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| 274 | MAX( v_i(ji,jj,jl) , epsi06 ) * nlay_i |
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| 275 | ! zindb = 0 if no ice and 1 if yes |
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| 276 | zindb = 1.0 - MAX( 0.0 , SIGN( 1.0 , - v_i(ji,jj,jl) ) ) |
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| 277 | !convert units ! very important that this line is here |
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| 278 | zq_i = zq_i * unit_fac * zindb |
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| 279 | !Ice layer melt temperature |
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| 280 | ztmelts = -tmut*s_i(ji,jj,jk,jl) + rtt |
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| 281 | !Conversion q(S,T) -> T (second order equation) |
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| 282 | zaaa = cpic |
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| 283 | zbbb = ( rcp - cpic ) * ( ztmelts - rtt ) + & |
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| 284 | zq_i / rhoic - lfus |
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| 285 | zccc = lfus * (ztmelts-rtt) |
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| 286 | zdiscrim = SQRT( MAX(zbbb*zbbb - 4.0*zaaa*zccc,0.0) ) |
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| 287 | t_i(ji,jj,jk,jl) = rtt + zindb *( - zbbb - zdiscrim ) / & |
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| 288 | ( 2.0 *zaaa ) |
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| 289 | t_i(ji,jj,jk,jl) = MIN( rtt, MAX(173.15, t_i(ji,jj,jk,jl) ) ) |
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| 290 | END DO |
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| 291 | END DO |
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| 292 | END DO |
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| 293 | END DO |
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| 294 | |
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| 295 | !-------------------- |
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| 296 | ! Snow temperatures |
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| 297 | !-------------------- |
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| 298 | zfac1 = 1. / ( rhosn * cpic ) |
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| 299 | zfac2 = lfus / cpic |
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| 300 | DO jl = 1, jpl |
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| 301 | DO jk = 1, nlay_s |
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| 302 | DO jj = 1, jpj |
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| 303 | DO ji = 1, jpi |
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| 304 | !Energy of melting q(S,T) [J.m-3] |
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| 305 | zq_s = e_s(ji,jj,jk,jl) / area(ji,jj) / & |
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| 306 | MAX( v_s(ji,jj,jl) , epsi06 ) * nlay_s |
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| 307 | ! zindb = 0 if no ice and 1 if yes |
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| 308 | zindb = 1.0 - MAX( 0.0 , SIGN( 1.0 , - v_s(ji,jj,jl) ) ) |
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| 309 | !convert units ! very important that this line is here |
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| 310 | zq_s = zq_s * unit_fac * zindb |
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| 311 | t_s(ji,jj,jk,jl) = rtt + zindb * ( - zfac1 * zq_s + zfac2 ) |
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| 312 | t_s(ji,jj,jk,jl) = MIN( rtt, MAX(173.15, t_s(ji,jj,jk,jl) ) ) |
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| 313 | |
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| 314 | END DO |
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| 315 | END DO |
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| 316 | END DO |
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| 317 | END DO |
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| 318 | |
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| 319 | !------------------- |
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| 320 | ! Mean temperature |
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| 321 | !------------------- |
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| 322 | tm_i(:,:) = 0.0 |
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| 323 | DO jl = 1, jpl |
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| 324 | DO jk = 1, nlay_i |
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| 325 | DO jj = 1, jpj |
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| 326 | DO ji = 1, jpi |
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| 327 | zindb = 1.0-MAX(0.0,SIGN(1.0,-a_i(ji,jj,jl))) |
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| 328 | zindb = zindb*1.0-MAX(0.0,SIGN(1.0,-v_i(ji,jj,jl))) |
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| 329 | tm_i(ji,jj) = tm_i(ji,jj) + t_i(ji,jj,jk,jl)*v_i(ji,jj,jl) / & |
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| 330 | REAL(nlay_i) / MAX( vt_i(ji,jj) , zeps ) |
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| 331 | END DO |
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| 332 | END DO |
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| 333 | END DO |
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| 334 | END DO |
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| 335 | |
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| 336 | END SUBROUTINE lim_var_glo2eqv |
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| 337 | |
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| 338 | !=============================================================================== |
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| 339 | |
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| 340 | SUBROUTINE lim_var_eqv2glo |
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| 341 | !!------------------------------------------------------------------ |
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| 342 | !! *** ROUTINE lim_var_eqv2glo ***' |
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| 343 | !! ** Purpose : |
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| 344 | !! This routine computes global variables as function of |
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| 345 | !! equivalent variables |
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| 346 | !! i.e. it turns VEQV into VGLO |
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| 347 | !! ** Method : |
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| 348 | !! |
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| 349 | !! ** Arguments : |
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| 350 | !! |
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| 351 | !! ** Inputs / Ouputs : (global commons) |
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| 352 | !! |
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| 353 | !! ** External : |
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| 354 | !! |
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| 355 | !! ** References : |
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| 356 | !! |
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| 357 | !! ** History : |
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| 358 | !! (01-2006) Martin Vancoppenolle, UCL-ASTR |
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| 359 | !! Take it easy man |
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| 360 | !! Life is just a simple game, between |
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| 361 | !! ups / and downs \ :@) |
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| 362 | !! |
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| 363 | !!------------------------------------------------------------------ |
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| 364 | |
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| 365 | v_i(:,:,:) = ht_i(:,:,:) * a_i(:,:,:) |
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| 366 | v_s(:,:,:) = ht_s(:,:,:) * a_i(:,:,:) |
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| 367 | smv_i(:,:,:) = sm_i(:,:,:) * v_i(:,:,:) |
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| 368 | oa_i (:,:,:) = o_i (:,:,:) * a_i(:,:,:) |
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| 369 | |
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| 370 | END SUBROUTINE lim_var_eqv2glo |
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| 371 | |
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| 372 | !=============================================================================== |
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| 373 | |
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| 374 | SUBROUTINE lim_var_salprof |
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| 375 | !!------------------------------------------------------------------ |
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| 376 | !! *** ROUTINE lim_var_salprof ***' |
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| 377 | !! ** Purpose : |
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| 378 | !! This routine computes salinity profile in function of |
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| 379 | !! bulk salinity |
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| 380 | !! |
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| 381 | !! ** Method : If bulk salinity greater than s_i_1, |
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| 382 | !! the profile is assumed to be constant (S_inf) |
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| 383 | !! If bulk salinity lower than s_i_0, |
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| 384 | !! the profile is linear with 0 at the surface (S_zero) |
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| 385 | !! If it is between s_i_0 and s_i_1, it is a |
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| 386 | !! alpha-weighted linear combination of s_inf and s_zero |
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| 387 | !! |
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| 388 | !! ** References : Vancoppenolle et al., 2007 (in preparation) |
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| 389 | !! |
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| 390 | !! ** History : |
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| 391 | !! (08-2006) Martin Vancoppenolle, UCL-ASTR |
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| 392 | !! Take it easy man |
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| 393 | !! Life is just a simple game, between ups |
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| 394 | !! / and downs \ :@) |
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| 395 | !! |
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| 396 | !!------------------------------------------------------------------ |
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| 397 | !! * Arguments |
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| 398 | |
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| 399 | !! * Local variables |
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| 400 | INTEGER :: & |
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| 401 | ji , & !: spatial dummy loop index |
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| 402 | jj , & !: spatial dummy loop index |
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| 403 | jk , & !: vertical layering dummy loop index |
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| 404 | jl !: ice category dummy loop index |
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| 405 | |
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| 406 | REAL(wp) :: & |
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| 407 | dummy_fac0 , & !: dummy factor used in computations |
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| 408 | dummy_fac1 , & !: dummy factor used in computations |
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| 409 | dummy_fac , & !: dummy factor used in computations |
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| 410 | zind0 , & !: switch, = 1 if sm_i lt s_i_0 |
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| 411 | zind01 , & !: switch, = 1 if sm_i between s_i_0 and s_i_1 |
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| 412 | zindbal , & !: switch, = 1, if 2*sm_i gt sss_io |
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| 413 | zargtemp !: dummy factor |
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| 414 | |
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| 415 | REAL(wp), DIMENSION(nlay_i) :: & |
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| 416 | zs_zero !: linear salinity profile for salinities under |
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| 417 | !: s_i_0 |
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| 418 | |
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| 419 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: & |
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| 420 | z_slope_s , & !: slope of the salinity profile |
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| 421 | zalpha !: weight factor for s between s_i_0 and s_i_1 |
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| 422 | |
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| 423 | !!-- End of declarations |
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| 424 | !!------------------------------------------------------------------------------ |
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| 425 | |
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| 426 | !--------------------------------------- |
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| 427 | ! Vertically constant, constant in time |
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| 428 | !--------------------------------------- |
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| 429 | |
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| 430 | IF ( num_sal .EQ. 1 ) THEN |
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| 431 | |
|---|
| 432 | s_i(:,:,:,:) = bulk_sal |
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| 433 | |
|---|
| 434 | ENDIF |
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| 435 | |
|---|
| 436 | !----------------------------------- |
|---|
| 437 | ! Salinity profile, varying in time |
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| 438 | !----------------------------------- |
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| 439 | |
|---|
| 440 | IF ( ( num_sal .EQ. 2 ) .OR. ( num_sal .EQ. 4 ) )THEN |
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| 441 | |
|---|
| 442 | DO jk = 1, nlay_i |
|---|
| 443 | s_i(:,:,jk,:) = sm_i(:,:,:) |
|---|
| 444 | END DO ! jk |
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| 445 | |
|---|
| 446 | ! Slope of the linear profile zs_zero |
|---|
| 447 | !------------------------------------- |
|---|
| 448 | DO jl = 1, jpl |
|---|
| 449 | DO jj = 1, jpj |
|---|
| 450 | DO ji = 1, jpi |
|---|
| 451 | z_slope_s(ji,jj,jl) = 2.0 * sm_i(ji,jj,jl) / MAX( 0.01 & |
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| 452 | , ht_i(ji,jj,jl) ) |
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| 453 | END DO ! ji |
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| 454 | END DO ! jj |
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| 455 | END DO ! jl |
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| 456 | |
|---|
| 457 | ! Weighting factor between zs_zero and zs_inf |
|---|
| 458 | !--------------------------------------------- |
|---|
| 459 | dummy_fac0 = 1. / ( ( s_i_0 - s_i_1 ) ) |
|---|
| 460 | dummy_fac1 = s_i_1 / ( s_i_1 - s_i_0 ) |
|---|
| 461 | |
|---|
| 462 | zalpha(:,:,:) = 0.0 |
|---|
| 463 | |
|---|
| 464 | DO jl = 1, jpl |
|---|
| 465 | DO jj = 1, jpj |
|---|
| 466 | DO ji = 1, jpi |
|---|
| 467 | ! zind0 = 1 if sm_i le s_i_0 and 0 otherwise |
|---|
| 468 | zind0 = MAX( 0.0 , SIGN( 1.0 , s_i_0 - sm_i(ji,jj,jl) ) ) |
|---|
| 469 | ! zind01 = 1 if sm_i is between s_i_0 and s_i_1 and 0 othws |
|---|
| 470 | zind01 = ( 1.0 - zind0 ) * & |
|---|
| 471 | MAX( 0.0 , SIGN( 1.0 , s_i_1 - sm_i(ji,jj,jl) ) ) |
|---|
| 472 | ! If 2.sm_i GE sss_io then zindbal = 1 |
|---|
| 473 | zindbal = MAX( 0.0 , SIGN( 1.0 , 2. * sm_i(ji,jj,jl) - & |
|---|
| 474 | sss_io(ji,jj) ) ) |
|---|
| 475 | zalpha(ji,jj,jl) = zind0 * 1.0 & |
|---|
| 476 | + zind01 * ( sm_i(ji,jj,jl) * dummy_fac0 + & |
|---|
| 477 | dummy_fac1 ) |
|---|
| 478 | zalpha(ji,jj,jl) = zalpha(ji,jj,jl) * ( 1.0 - zindbal ) |
|---|
| 479 | END DO |
|---|
| 480 | END DO |
|---|
| 481 | END DO |
|---|
| 482 | |
|---|
| 483 | ! Computation of the profile |
|---|
| 484 | !---------------------------- |
|---|
| 485 | dummy_fac = 1. / nlay_i |
|---|
| 486 | |
|---|
| 487 | DO jl = 1, jpl |
|---|
| 488 | DO jk = 1, nlay_i |
|---|
| 489 | DO jj = 1, jpj |
|---|
| 490 | DO ji = 1, jpi |
|---|
| 491 | ! linear profile with 0 at the surface |
|---|
| 492 | zs_zero(jk) = z_slope_s(ji,jj,jl) * ( jk - 1./2. ) * & |
|---|
| 493 | ht_i(ji,jj,jl) * dummy_fac |
|---|
| 494 | ! weighting the profile |
|---|
| 495 | s_i(ji,jj,jk,jl) = zalpha(ji,jj,jl) * zs_zero(jk) + & |
|---|
| 496 | ( 1.0 - zalpha(ji,jj,jl) ) * sm_i(ji,jj,jl) |
|---|
| 497 | END DO ! ji |
|---|
| 498 | END DO ! jj |
|---|
| 499 | END DO ! jk |
|---|
| 500 | END DO ! jl |
|---|
| 501 | |
|---|
| 502 | ENDIF ! num_sal |
|---|
| 503 | |
|---|
| 504 | !------------------------------------------------------- |
|---|
| 505 | ! Vertically varying salinity profile, constant in time |
|---|
| 506 | !------------------------------------------------------- |
|---|
| 507 | ! Schwarzacher (1959) multiyear salinity profile (mean = 2.30) |
|---|
| 508 | |
|---|
| 509 | IF ( num_sal .EQ. 3 ) THEN |
|---|
| 510 | |
|---|
| 511 | sm_i(:,:,:) = 2.30 |
|---|
| 512 | |
|---|
| 513 | DO jl = 1, jpl |
|---|
| 514 | DO jk = 1, nlay_i |
|---|
| 515 | DO jj = 1, jpj |
|---|
| 516 | DO ji = 1, jpi |
|---|
| 517 | zargtemp = ( jk - 0.5 ) / nlay_i |
|---|
| 518 | s_i(ji,jj,jk,jl) = 1.6 - 1.6 * COS( 3.14169265 * & |
|---|
| 519 | ( zargtemp**(0.407/ & |
|---|
| 520 | ( 0.573 + zargtemp ) ) ) ) |
|---|
| 521 | END DO ! ji |
|---|
| 522 | END DO ! jj |
|---|
| 523 | END DO ! jk |
|---|
| 524 | END DO ! jl |
|---|
| 525 | |
|---|
| 526 | ENDIF ! num_sal |
|---|
| 527 | |
|---|
| 528 | END SUBROUTINE lim_var_salprof |
|---|
| 529 | |
|---|
| 530 | !=============================================================================== |
|---|
| 531 | |
|---|
| 532 | SUBROUTINE lim_var_bv |
|---|
| 533 | !!------------------------------------------------------------------ |
|---|
| 534 | !! *** ROUTINE lim_var_bv ***' |
|---|
| 535 | !! ** Purpose : |
|---|
| 536 | !! This routine computes mean brine volume (%) in sea ice |
|---|
| 537 | !! |
|---|
| 538 | !! ** Method : e = - 0.054 * S (ppt) / T (C) |
|---|
| 539 | !! |
|---|
| 540 | !! ** Arguments : |
|---|
| 541 | !! |
|---|
| 542 | !! ** Inputs / Ouputs : (global commons) |
|---|
| 543 | !! |
|---|
| 544 | !! ** External : |
|---|
| 545 | !! |
|---|
| 546 | !! ** References : Vancoppenolle et al., JGR, 2007 |
|---|
| 547 | !! |
|---|
| 548 | !! ** History : |
|---|
| 549 | !! (08-2006) Martin Vancoppenolle, UCL-ASTR |
|---|
| 550 | !! |
|---|
| 551 | !!------------------------------------------------------------------ |
|---|
| 552 | !! * Arguments |
|---|
| 553 | |
|---|
| 554 | !! * Local variables |
|---|
| 555 | INTEGER :: ji, & ! spatial dummy loop index |
|---|
| 556 | jj, & ! spatial dummy loop index |
|---|
| 557 | jk, & ! vertical layering dummy loop index |
|---|
| 558 | jl ! ice category dummy loop index |
|---|
| 559 | |
|---|
| 560 | REAL :: zbvi, & ! brine volume for a single ice category |
|---|
| 561 | zeps, & ! very small value |
|---|
| 562 | zindb ! is there ice or not |
|---|
| 563 | |
|---|
| 564 | !!-- End of declarations |
|---|
| 565 | !!------------------------------------------------------------------------------ |
|---|
| 566 | |
|---|
| 567 | zeps = 1.0e-13 |
|---|
| 568 | bv_i(:,:) = 0.0 |
|---|
| 569 | DO jl = 1, jpl |
|---|
| 570 | DO jk = 1, nlay_i |
|---|
| 571 | DO jj = 1, jpj |
|---|
| 572 | DO ji = 1, jpi |
|---|
| 573 | zindb = 1.0-MAX(0.0,SIGN(1.0,-a_i(ji,jj,jl))) !0 if no ice and 1 if yes |
|---|
| 574 | zbvi = - zindb * tmut *s_i(ji,jj,jk,jl) / & |
|---|
| 575 | MIN( t_i(ji,jj,jk,jl) - 273.15 , zeps ) & |
|---|
| 576 | * v_i(ji,jj,jl) / REAL(nlay_i) |
|---|
| 577 | bv_i(ji,jj) = bv_i(ji,jj) + zbvi & |
|---|
| 578 | / MAX( vt_i(ji,jj) , zeps ) |
|---|
| 579 | END DO |
|---|
| 580 | END DO |
|---|
| 581 | END DO |
|---|
| 582 | END DO |
|---|
| 583 | |
|---|
| 584 | END SUBROUTINE lim_var_bv |
|---|
| 585 | |
|---|
| 586 | !=============================================================================== |
|---|
| 587 | |
|---|
| 588 | SUBROUTINE lim_var_salprof1d(kideb,kiut) |
|---|
| 589 | !!------------------------------------------------------------------- |
|---|
| 590 | !! *** ROUTINE lim_thd_salprof1d *** |
|---|
| 591 | !! |
|---|
| 592 | !! ** Purpose : 1d computation of the sea ice salinity profile |
|---|
| 593 | !! Works with 1d vectors and is used by thermodynamic |
|---|
| 594 | !! modules |
|---|
| 595 | !! |
|---|
| 596 | !! history : |
|---|
| 597 | !! 3.0 ! May 2007 M. Vancoppenolle Original code |
|---|
| 598 | !!------------------------------------------------------------------- |
|---|
| 599 | INTEGER, INTENT(in) :: & |
|---|
| 600 | kideb, kiut ! thickness category index |
|---|
| 601 | |
|---|
| 602 | INTEGER :: & |
|---|
| 603 | ji, jk, & ! geographic and layer index |
|---|
| 604 | zji, zjj |
|---|
| 605 | |
|---|
| 606 | REAL(wp) :: & |
|---|
| 607 | dummy_fac0, & ! dummy factors |
|---|
| 608 | dummy_fac1, & |
|---|
| 609 | dummy_fac2, & |
|---|
| 610 | zalpha , & ! weighting factor |
|---|
| 611 | zind0 , & ! switches as in limvar |
|---|
| 612 | zind01 , & ! switch |
|---|
| 613 | zindbal , & ! switch if in freshwater area |
|---|
| 614 | zargtemp |
|---|
| 615 | |
|---|
| 616 | REAL(wp), DIMENSION(jpij) :: & |
|---|
| 617 | z_slope_s |
|---|
| 618 | |
|---|
| 619 | REAL(wp), DIMENSION(jpij,jkmax) :: & |
|---|
| 620 | zs_zero |
|---|
| 621 | !!------------------------------------------------------------------- |
|---|
| 622 | |
|---|
| 623 | !--------------------------------------- |
|---|
| 624 | ! Vertically constant, constant in time |
|---|
| 625 | !--------------------------------------- |
|---|
| 626 | |
|---|
| 627 | IF ( num_sal .EQ. 1 ) THEN |
|---|
| 628 | |
|---|
| 629 | s_i_b(:,:) = bulk_sal |
|---|
| 630 | |
|---|
| 631 | ENDIF |
|---|
| 632 | |
|---|
| 633 | !------------------------------------------------------ |
|---|
| 634 | ! Vertically varying salinity profile, varying in time |
|---|
| 635 | !------------------------------------------------------ |
|---|
| 636 | |
|---|
| 637 | IF ( ( num_sal .EQ. 2 ) .OR. ( num_sal .EQ. 4 ) ) THEN |
|---|
| 638 | |
|---|
| 639 | ! Slope of the linear profile zs_zero |
|---|
| 640 | !------------------------------------- |
|---|
| 641 | DO ji = kideb, kiut |
|---|
| 642 | z_slope_s(ji) = 2.0 * sm_i_b(ji) / MAX( 0.01 & |
|---|
| 643 | , ht_i_b(ji) ) |
|---|
| 644 | END DO ! ji |
|---|
| 645 | |
|---|
| 646 | ! Weighting factor between zs_zero and zs_inf |
|---|
| 647 | !--------------------------------------------- |
|---|
| 648 | dummy_fac0 = 1. / ( ( s_i_0 - s_i_1 ) ) |
|---|
| 649 | dummy_fac1 = s_i_1 / ( s_i_1 - s_i_0 ) |
|---|
| 650 | dummy_fac2 = 1. / nlay_i |
|---|
| 651 | |
|---|
| 652 | DO jk = 1, nlay_i |
|---|
| 653 | DO ji = kideb, kiut |
|---|
| 654 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
|---|
| 655 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
|---|
| 656 | zalpha = 0.0 |
|---|
| 657 | ! zind0 = 1 if sm_i le s_i_0 and 0 otherwise |
|---|
| 658 | zind0 = MAX( 0.0 , SIGN( 1.0 , s_i_0 - sm_i_b(ji) ) ) |
|---|
| 659 | ! zind01 = 1 if sm_i is between s_i_0 and s_i_1 and 0 othws |
|---|
| 660 | zind01 = ( 1.0 - zind0 ) * & |
|---|
| 661 | MAX( 0.0 , SIGN( 1.0 , s_i_1 - sm_i_b(ji) ) ) |
|---|
| 662 | ! if 2.sm_i GE sss_io then zindbal = 1 |
|---|
| 663 | zindbal = MAX( 0.0 , SIGN( 1.0 , 2. * sm_i_b(ji) - & |
|---|
| 664 | sss_io(zji,zjj) ) ) |
|---|
| 665 | |
|---|
| 666 | zalpha = zind0 * 1.0 & |
|---|
| 667 | + zind01 * ( sm_i_b(ji) * dummy_fac0 + & |
|---|
| 668 | dummy_fac1 ) |
|---|
| 669 | zalpha = zalpha * ( 1.0 - zindbal ) |
|---|
| 670 | |
|---|
| 671 | zs_zero(ji,jk) = z_slope_s(ji) * ( jk - 1./2. ) * & |
|---|
| 672 | ht_i_b(ji) * dummy_fac2 |
|---|
| 673 | ! weighting the profile |
|---|
| 674 | s_i_b(ji,jk) = zalpha * zs_zero(ji,jk) + & |
|---|
| 675 | ( 1.0 - zalpha ) * sm_i_b(ji) |
|---|
| 676 | END DO ! ji |
|---|
| 677 | END DO ! jk |
|---|
| 678 | |
|---|
| 679 | ENDIF ! num_sal |
|---|
| 680 | |
|---|
| 681 | !------------------------------------------------------- |
|---|
| 682 | ! Vertically varying salinity profile, constant in time |
|---|
| 683 | !------------------------------------------------------- |
|---|
| 684 | ! Schwarzacher (1959) multiyear salinity profile (mean = 2.30) |
|---|
| 685 | |
|---|
| 686 | IF ( num_sal .EQ. 3 ) THEN |
|---|
| 687 | |
|---|
| 688 | sm_i_b(:) = 2.30 |
|---|
| 689 | |
|---|
| 690 | DO ji = kideb, kiut |
|---|
| 691 | DO jk = 1, nlay_i |
|---|
| 692 | zargtemp = ( jk - 0.5 ) / nlay_i |
|---|
| 693 | s_i_b(ji,jk) = 1.6 - 1.6*cos(3.14169265*(zargtemp**(0.407/ & |
|---|
| 694 | (0.573+zargtemp)))) |
|---|
| 695 | END DO ! jk |
|---|
| 696 | END DO ! ji |
|---|
| 697 | |
|---|
| 698 | ENDIF ! num_sal |
|---|
| 699 | |
|---|
| 700 | END SUBROUTINE lim_var_salprof1d |
|---|
| 701 | |
|---|
| 702 | !=============================================================================== |
|---|
| 703 | |
|---|
| 704 | #else |
|---|
| 705 | !!====================================================================== |
|---|
| 706 | !! *** MODULE limvar *** |
|---|
| 707 | !! no sea ice model |
|---|
| 708 | !!====================================================================== |
|---|
| 709 | CONTAINS |
|---|
| 710 | SUBROUTINE lim_var_agg ! Empty routines |
|---|
| 711 | END SUBROUTINE lim_var_agg |
|---|
| 712 | SUBROUTINE lim_var_glo2eqv ! Empty routines |
|---|
| 713 | END SUBROUTINE lim_var_glo2eqv |
|---|
| 714 | SUBROUTINE lim_var_eqv2glo ! Empty routines |
|---|
| 715 | END SUBROUTINE lim_var_eqv2glo |
|---|
| 716 | SUBROUTINE lim_var_salprof ! Empty routines |
|---|
| 717 | END SUBROUTINE lim_var_salprof |
|---|
| 718 | SUBROUTINE lim_var_bv ! Emtpy routines |
|---|
| 719 | END SUBROUTINE lim_var_bv |
|---|
| 720 | SUBROUTINE lim_var_salprof1d ! Emtpy routines |
|---|
| 721 | END SUBROUTINE lim_var_salprof1d |
|---|
| 722 | |
|---|
| 723 | #endif |
|---|
| 724 | END MODULE limvar |
|---|
