[4045] | 1 | MODULE limcat_1D |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE limcat_1D *** |
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| 4 | !! Used for LIM3 to convert cell averages of ice thickness, snow thickness |
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| 5 | !! and ice cover into a prescribed distribution over the cell. |
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| 6 | !! (Example of application: BDY forcings when input are cell averaged) |
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| 7 | !!====================================================================== |
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| 8 | !! History : - ! Original code from M. Vancoppenolle (?) |
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| 9 | !! ! 2011-12 (C. Rousset) rewritten for clarity |
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| 10 | !!---------------------------------------------------------------------- |
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| 11 | #if defined key_lim3 |
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| 12 | !!---------------------------------------------------------------------- |
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| 13 | !! 'key_lim3' : LIM3 sea-ice model |
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| 14 | !!---------------------------------------------------------------------- |
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| 15 | !! lim_cat_1D : main subroutine |
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| 16 | !!---------------------------------------------------------------------- |
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| 17 | !! Modules used |
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| 18 | USE phycst |
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| 19 | USE oce ! dynamics and tracers variables |
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| 20 | USE dom_oce |
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| 21 | USE sbc_oce ! Surface boundary condition: ocean fields |
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| 22 | USE par_ice ! ice parameters |
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| 23 | USE ice ! ice variables |
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| 24 | USE eosbn2 ! equation of state |
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| 25 | USE in_out_manager |
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| 26 | USE dom_ice |
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| 27 | USE ice |
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| 28 | USE lbclnk |
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| 29 | USE timing ! Timing |
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| 30 | |
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| 31 | IMPLICIT NONE |
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| 32 | PRIVATE |
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| 33 | |
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| 34 | !! Accessibility |
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| 35 | PUBLIC lim_cat_1D |
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| 36 | |
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| 37 | CONTAINS |
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| 38 | |
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| 39 | SUBROUTINE lim_cat_1D(zhti,zhts,zai,zht_i,zht_s,za_i) |
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| 40 | !! Local variables |
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| 41 | INTEGER :: ji, jk, jl ! dummy loop indices |
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[4072] | 42 | INTEGER :: ijpij, i_fill, jl0, ztest_1, ztest_2, ztest_3, ztest_4, ztests |
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[4045] | 43 | REAL(wp) :: zarg, zV, zconv |
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| 44 | REAL(wp), DIMENSION(:), INTENT(in) :: zhti, zhts, zai ! input ice/snow variables |
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| 45 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: zht_i, zht_s, za_i ! output ice/snow variables |
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| 46 | REAL(wp) :: epsi06 = 1.0e-6 |
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[4333] | 47 | REAL(wp) :: zc1, zc2, zc3, zx1, zdh ! local scalars |
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[4269] | 48 | REAL(wp), DIMENSION(0:jpl) :: zhi_max !:Boundary of ice thickness categories in thickness space |
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| 49 | |
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[4045] | 50 | IF( nn_timing == 1 ) CALL timing_start('limcat_1D') |
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| 51 | !-------------------------------------------------------------------- |
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| 52 | ! initialisation of variables |
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| 53 | !-------------------------------------------------------------------- |
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[4072] | 54 | ijpij = SIZE(zhti,1) |
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[4298] | 55 | zht_i(1:ijpij,1:jpl) = 0._wp |
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| 56 | zht_s(1:ijpij,1:jpl) = 0._wp |
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| 57 | za_i (1:ijpij,1:jpl) = 0._wp |
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[4045] | 58 | |
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| 59 | !------------------------------------------------------------------------------------ |
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| 60 | ! Distribute ice concentration and thickness into the categories |
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| 61 | !------------------------------------------------------------------------------------ |
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| 62 | ! Method: we first try to fill the jpl ice categories bounded by thicknesses |
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| 63 | ! hmax(0:jpl) with a gaussian distribution, and check whether the distribution |
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| 64 | ! fulfills volume and area conservation, positivity and ice categories bounds. |
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| 65 | ! In other words, if ice input is too thin, the last category (jpl) |
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| 66 | ! cannot be filled, so we try to fill jpl-1 categories... |
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| 67 | ! And so forth iteratively until the number of categories filled |
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| 68 | ! fulfills ice volume concervation between input and output (ztests=4) |
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| 69 | !-------------------------------------------------------------------------------------- |
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[4269] | 70 | |
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| 71 | !- Thickness categories boundaries |
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| 72 | ! hi_max is calculated in iceini.F90 but since limcat_1D.F90 routine |
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| 73 | ! is called before (in bdydta.F90), one must recalculate it. |
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| 74 | ! Note clem: there may be a way of doing things cleaner |
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| 75 | !---------------------------------- |
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| 76 | zhi_max(:) = 0._wp |
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| 77 | zc1 = 3._wp / REAL( jpl , wp ) ; zc2 = 10._wp * zc1 ; zc3 = 3._wp |
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| 78 | DO jl = 1, jpl |
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| 79 | zx1 = REAL( jl-1 , wp ) / REAL( jpl , wp ) |
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| 80 | zhi_max(jl) = zhi_max(jl-1) + zc1 + zc2 * ( 1._wp + TANH( zc3 * ( zx1 - 1._wp ) ) ) |
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| 81 | END DO |
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[4045] | 82 | |
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| 83 | ! ---------------------------------------- |
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| 84 | ! distribution over the jpl ice categories |
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| 85 | ! ---------------------------------------- |
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[4072] | 86 | DO ji = 1, ijpij |
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[4045] | 87 | |
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[4333] | 88 | IF( zhti(ji) > 0._wp ) THEN |
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| 89 | |
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[4045] | 90 | ! initialisation of tests |
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| 91 | ztest_1 = 0 |
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| 92 | ztest_2 = 0 |
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| 93 | ztest_3 = 0 |
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| 94 | ztest_4 = 0 |
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| 95 | ztests = 0 |
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| 96 | |
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| 97 | i_fill = jpl + 1 !==================================== |
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| 98 | DO WHILE ( ( ztests /= 4 ) .AND. ( i_fill >= 2 ) ) ! iterative loop on i_fill categories |
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| 99 | ! iteration !==================================== |
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| 100 | i_fill = i_fill - 1 |
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| 101 | |
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| 102 | ! initialisation of ice variables for each try |
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[4298] | 103 | zht_i(ji,1:jpl) = 0._wp |
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| 104 | za_i (ji,1:jpl) = 0._wp |
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[4045] | 105 | |
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| 106 | ! *** case very thin ice: fill only category 1 |
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| 107 | IF ( i_fill == 1 ) THEN |
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| 108 | zht_i(ji,1) = zhti(ji) |
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| 109 | za_i (ji,1) = zai (ji) |
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| 110 | ! *** case ice is thicker: fill categories >1 |
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| 111 | ELSE |
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| 112 | |
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| 113 | ! Fill ice thicknesses except the last one (i_fill) by (hmax-hmin)/2 |
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| 114 | DO jl = 1, i_fill - 1 |
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[4298] | 115 | zht_i(ji,jl) = ( zhi_max(jl) + zhi_max(jl-1) ) * 0.5_wp |
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[4045] | 116 | END DO |
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| 117 | |
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| 118 | ! find which category (jl0) the input ice thickness falls into |
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| 119 | jl0 = i_fill |
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| 120 | DO jl = 1, i_fill |
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[4269] | 121 | IF ( ( zhti(ji) >= zhi_max(jl-1) ) .AND. ( zhti(ji) < zhi_max(jl) ) ) THEN |
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[4045] | 122 | jl0 = jl |
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| 123 | CYCLE |
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| 124 | ENDIF |
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| 125 | END DO |
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| 126 | |
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| 127 | ! Concentrations in the (i_fill-1) categories |
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| 128 | za_i(ji,jl0) = zai(ji) / SQRT(REAL(jpl)) |
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| 129 | DO jl = 1, i_fill - 1 |
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| 130 | IF ( jl == jl0 ) CYCLE |
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[4298] | 131 | zarg = ( zht_i(ji,jl) - zhti(ji) ) / ( zhti(ji) * 0.5_wp ) |
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[4045] | 132 | za_i(ji,jl) = za_i (ji,jl0) * EXP(-zarg**2) |
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| 133 | END DO |
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| 134 | |
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| 135 | ! Concentration in the last (i_fill) category |
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| 136 | za_i(ji,i_fill) = zai(ji) - SUM( za_i(ji,1:i_fill-1) ) |
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| 137 | |
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| 138 | ! Ice thickness in the last (i_fill) category |
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| 139 | zV = SUM( za_i(ji,1:i_fill-1) * zht_i(ji,1:i_fill-1) ) |
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| 140 | zht_i(ji,i_fill) = ( zhti(ji)*zai(ji) - zV ) / za_i(ji,i_fill) |
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| 141 | |
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| 142 | ENDIF ! case ice is thick or thin |
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| 143 | |
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| 144 | !--------------------- |
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| 145 | ! Compatibility tests |
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| 146 | !--------------------- |
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| 147 | ! Test 1: area conservation |
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| 148 | zconv = ABS( zai(ji) - SUM( za_i(ji,1:jpl) ) ) |
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| 149 | IF ( zconv < epsi06 ) ztest_1 = 1 |
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| 150 | |
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| 151 | ! Test 2: volume conservation |
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| 152 | zconv = ABS( zhti(ji)*zai(ji) - SUM( za_i(ji,1:jpl)*zht_i(ji,1:jpl) ) ) |
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| 153 | IF ( zconv < epsi06 ) ztest_2 = 1 |
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| 154 | |
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| 155 | ! Test 3: thickness of the last category is in-bounds ? |
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[4269] | 156 | IF ( zht_i(ji,i_fill) >= zhi_max(i_fill-1) ) ztest_3 = 1 |
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[4045] | 157 | |
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| 158 | ! Test 4: positivity of ice concentrations |
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| 159 | ztest_4 = 1 |
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| 160 | DO jl = 1, i_fill |
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[4298] | 161 | IF ( za_i(ji,jl) < 0._wp ) ztest_4 = 0 |
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[4045] | 162 | END DO |
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| 163 | |
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| 164 | ztests = ztest_1 + ztest_2 + ztest_3 + ztest_4 |
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| 165 | !============================ |
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| 166 | END DO ! end iteration on categories |
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| 167 | !============================ |
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| 168 | ! Check if tests have passed (i.e. volume conservation...) |
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[4099] | 169 | !IF ( ztests /= 4 ) THEN |
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| 170 | ! WRITE(numout,*) ' !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ' |
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| 171 | ! WRITE(numout,*) ' !! ALERT categories distribution !!' |
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| 172 | ! WRITE(numout,*) ' !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ' |
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| 173 | ! WRITE(numout,*) ' *** ztests is not equal to 4 ' |
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| 174 | ! WRITE(numout,*) ' *** ztest (1:4) = ', ztest_1, ztest_2, ztest_3, ztest_4 |
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| 175 | ! WRITE(numout,*) 'i_fill=',i_fill |
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| 176 | ! WRITE(numout,*) 'zai(ji)=',zai(ji) |
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| 177 | ! WRITE(numout,*) 'za_i(ji,jpl)=',za_i(ji,:) |
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| 178 | !ENDIF |
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[4333] | 179 | |
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| 180 | ENDIF ! if zhti > 0 |
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| 181 | |
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[4045] | 182 | END DO ! i loop |
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| 183 | |
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[4333] | 184 | ! ------------------------------------------------ |
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| 185 | ! Adding Snow in each category where za_i is not 0 |
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| 186 | ! ------------------------------------------------ |
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| 187 | DO jl = 1, jpl |
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| 188 | DO ji = 1, ijpij |
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| 189 | IF( za_i(ji,jl) > 0._wp ) THEN |
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| 190 | zht_s(ji,jl) = zht_i(ji,jl) * ( zhts(ji) / zhti(ji) ) |
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| 191 | ! In case snow load is in excess that would lead to transformation from snow to ice |
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| 192 | ! Then, transfer the snow excess into the ice (different from limthd_dh) |
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| 193 | zdh = MAX( 0._wp, ( rhosn * zht_s(ji,jl) + ( rhoic - rau0 ) * zht_i(ji,jl) ) * r1_rau0 ) |
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| 194 | ! recompute ht_i, ht_s avoiding out of bounds values |
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| 195 | zht_i(ji,jl) = MIN( zhi_max(jl), zht_i(ji,jl) + zdh ) |
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| 196 | zht_s(ji,jl) = MAX( 0._wp, zht_s(ji,jl) - zdh * rhoic / rhosn ) |
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| 197 | ENDIF |
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| 198 | ENDDO |
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| 199 | ENDDO |
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| 200 | |
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[4045] | 201 | IF( nn_timing == 1 ) CALL timing_stop('limcat_1D') |
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| 202 | |
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| 203 | END SUBROUTINE lim_cat_1D |
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| 204 | |
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| 205 | #else |
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| 206 | !!---------------------------------------------------------------------- |
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| 207 | !! Default option : Empty module NO LIM sea-ice model |
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| 208 | !!---------------------------------------------------------------------- |
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| 209 | CONTAINS |
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| 210 | SUBROUTINE lim_cat_1D ! Empty routine |
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| 211 | END SUBROUTINE lim_cat_1D |
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| 212 | #endif |
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| 213 | |
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| 214 | !!====================================================================== |
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| 215 | END MODULE limcat_1D |
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